School of Engineering · Playlist

DET 330

Shop safety, measurement, cutting fluids, sawing, milling, drilling, turning, grinding, CNC, inspection and nontraditional machining for DET 330.

  1. Equipment Categories and Supervision
  2. Woods / Construction Lab Equipment
  3. Rapid Prototyping Center Equipment
  4. Metals Lab Equipment
  5. Equipment Operating Procedure
  6. Personal Protective Equipment
  7. Lifting and Carrying
  8. Electrical Safety
  9. Chemicals and Safety Data Sheets
  10. Machine Hazards and Housekeeping
  11. Fire Safety
  12. Metal Chips and Swarf
  13. Lab Conduct and Emergencies
  14. 5S Workplace Organization
  15. Manual Lathe
  16. Vertical Mill
  17. Drill Press
  18. OMAX Waterjet
  19. Material-Removal Process Families
  20. Choosing Shop Measuring Tools
  21. Reading Measuring Scales
  22. Reliable Shop Measurement
  23. Shop Layout and Angle Measurement
  24. Cutting Fluids and Application Methods
  25. Coolant Concentration and Mixing
  26. Coolant Condition and Tank Maintenance
  27. Cutoff Sawing
  28. Saw Blade Selection
  29. Vertical Band Machining
  30. Bench Work with Hand Tools
  31. Vertical Mill Anatomy and Motion
  32. Milling Vises and Strap Clamps
  33. Mill Indicators and Part Zero
  34. Mill Toolholders and Collets
  35. End Mill Anatomy and Cutter Selection
  36. Milling Chatter
  37. Vertical Mill Startup, Setup and Shutdown
  38. Milling Operations
  39. G-code and Toolpaths
  40. Climb and Conventional Milling
  41. Backlash and Lost Motion
  42. Feeds and Speeds
  43. Tool Stickout and Deflection
  44. Lathe Operations
  45. Gear Ratios
  46. Tolerances and Fits
  47. Surface Texture and Finish
  48. Keys and Keyways in Shaft-Hub Connections
  49. Machining Keyseats and Keyways
  50. Broaching
  51. Twist Drills and Drill Sizes
  52. Drilling on a Drill Press or Mill
  53. Reaming, Boring and Hole Seats
  54. Thread Callouts and Threaded Fasteners
  55. Tap Drills and Tapping
  56. Turning Tapers
  57. Single-Point Threading
  58. Grinding Wheels and Abrasives
  59. Offhand Grinding
  60. Precision Grinding
  61. CNC Control Fundamentals
  62. CNC Axes and Offsets
  63. Absolute and Incremental Positioning
  64. CNC Program Structure
  65. CNC Programming and Prove-Out
  66. CNC Turning Setup and Offsets
  67. CNC Turning Spindle and Feed Modes
  68. CNC Turning Profiles and Cycles
  69. CNC Turning Program Walkthrough
  70. Shop Inspection and Quality Control
  71. Process Capability and Variation
  72. Jigs, Fixtures and Repeatable Location
  73. Automated Manufacturing Cells
  74. Metals and Their Properties
  75. Types of Steel
  76. Nonferrous Metals
  77. Heat Treating Metals
  78. Cutting and Machining Plastics
  79. Electrical Discharge Machining
  80. Electrochemical Machining
  81. Laser, Waterjet and Plasma Cutting
  82. Ultrasonic Machining
  83. Chemical Milling and Etching
  84. Selecting a Material-Removal Process
Safety/Equipment

Equipment Categories and Supervision

Every machine in every lab falls into one of three categories. The category tells you who has to be standing there before you switch it on.

Three categories, one question

Three categories, one question

Every piece of equipment in the lab is Category 1, 2 or 3. The category answers one question: who has to be present before you switch it on?

Permission from an instructor is required in every case. What changes between categories is when that permission can be given, and who has to be in the room while the machine is running.

Category 1
Permission may be given in advance. Work alone once you have it.
Category 2
Permission at the time of use. A peer must be present throughout.
Category 3
Permission at the time of use. A peer and an instructor must be present throughout.

The category never removes a requirement. General safety procedures and PPE apply to every category, to every person present — see Equipment Operating Procedure and Personal Protective Equipment.

Category 1

Category 1

  • Can be used with instructor permission — may be given in advance or at the time of use.
  • Can be operated independently, without peer or instructor supervision, once permission is granted.
  • You must still follow all general safety procedures and PPE requirements.
Category 2

Category 2

  • Can be used with instructor permission — permission must be given at the time of use.
  • Does not require instructor supervision during operation.
  • Requires peer supervision present at all times during use.
  • Both the operator and the peer supervisor must follow all safety procedures and PPE requirements.
Category 3; Stop

Category 3

  • Can be used with instructor permission — permission must be given at the time of use.
  • Requires both peer AND instructor supervision present during operation.
  • The highest-risk equipment, requiring maximum safety oversight.
  • All participants — operator, peer and instructor — must follow safety procedures and PPE requirements.
Which category is my machine?

Which category is my machine?

The category assignment is per lab. Each lab's roster lists its machines by category:

If a machine is not on your lab's roster, ask the instructor. A machine you cannot place is a machine you do not start.

Safety/Equipment

Woods / Construction Lab Equipment

Equipment categories for the Woods / Construction lab.

Find the equipment category

Find the equipment category

These are the equipment categories for the Woods / Construction lab.

If an item is not on the list, ask the instructor to place it before you use it.

Category 1

Category 1

  • Hand tools (excluding saws)
  • Paint / stain
  • Sandpaper
  • Glue
  • Clamps

See Category 1 permission and supervision requirements before use.

Category 2

Category 2

  • Hand tools (saws)
  • Power tools
  • Belt/disk sander
  • Drill press
  • CNC router

See Category 2 permission and supervision requirements before use.

Category 3

Category 3

  • Table saw
  • Band saw
  • Miter saw
  • Planer
  • Jointer

See Category 3 permission and supervision requirements before use.

Safety/Equipment

Rapid Prototyping Center Equipment

Equipment categories for the Rapid Prototyping Center.

Find the equipment category

Find the equipment category

These are the equipment categories for the Rapid Prototyping Center.

If an item is not on the list, ask the instructor to place it before you use it.

Category 1

Category 1

  • 3D printers
  • Hand tools (excluding knives)

See Category 1 permission and supervision requirements before use.

Category 2

Category 2

  • Laser cutter
  • Hand tools (knives)

See Category 2 permission and supervision requirements before use.

Category 3
Safety/Equipment

Metals Lab Equipment

Equipment categories for the Metals lab.

Find the equipment category

Find the equipment category

These are the equipment categories for the Metals lab.

If an item is not on the list, ask the instructor to place it before you use it.

Category 1

Category 1

  • Hand tools
  • Fixture table
  • Clamps
  • Sanding / polishing
  • Deburring kit
  • Part setup

See Category 1 permission and supervision requirements before use.

Category 2

Category 2

  • CNC mill
  • Drill press
  • Belt/disk sander
  • Grinder
  • Power tools
  • Waterjet

See Category 2 permission and supervision requirements before use.

Category 3

Category 3

  • Horizontal band saw
  • Vertical band saw
  • Manual mill
  • CNC lathe
  • Manual lathe
  • Desktop injection molder

See Category 3 permission and supervision requirements before use.

Safety/Universal Rules

Equipment Operating Procedure

The procedure that applies to every piece of equipment in every lab, every time you use it.

Before operating any equipment; Checklist

Before operating any equipment

  • Obtain permission to operate the equipment from the instructor.
  • Verify training — ensure ALL operators have received proper equipment training.
  • Check PPE — confirm you are wearing all required personal protective equipment. See Personal Protective Equipment.
  • Perform a pre-use inspection — check for damage or required maintenance.
  • Confirm all guards and safety devices are in place and operational.
  • Secure the workpiece — ensure all material is properly clamped or held.
  • Communicate your intentions — tell others in the area what you are about to do.
During equipment operation

During equipment operation

  • Stay alert — maintain focus, and never leave equipment unattended while it is running.
  • Follow proper procedures — use equipment only as trained and as intended.

Machine-specific hazards — pinch points, measurement, housekeeping — are covered in Machine Hazards and Housekeeping.

After operating any equipment; Checklist

After operating any equipment

  • Power down safely — turn off and disconnect the equipment from its power source.
  • Report issues immediately — notify the instructor of any broken or malfunctioning equipment.
  • Return and organize — put all equipment and tools back in their designated locations.
  • Restore to shutdown state — return the equipment to its original, safe configuration.
  • Clean thoroughly — remove all dust, chips, liquids and debris from the equipment and the work area.

The habit behind the last two is 5S — the same discipline, named and made routine.

Safety/Universal Rules

Personal Protective Equipment

What you wear, and when. Eye protection is mandatory in the lab spaces at all times; the rest depends on the task.

Personal Protective Equipment

Personal Protective Equipment

Five topics. One of them — eye protection — applies the moment you walk in. The rest are set by what you are doing.

Eyes
Always, in the lab spaces. No exceptions.
Hearing
Prolonged exposure to loud equipment.
Feet
Closed-toe shoes, always.
Respiratory
Any grinding or sanding; hazardous dust or fumes.
Clothing & hair
Always, near anything that rotates.
Eye protection; Watch out

Eye protection

Safety glasses are MANDATORY in the lab spaces at all times.

If you wear prescription glasses

  • Side shields that attach to your existing frames.
  • Oversized safety glasses that fit over corrective glasses.
  • Prescription safety glasses are also acceptable.

Lens requirements

  • Safety glasses must be clear or yellow tinted only.
  • Dark or shaded safety glasses are not acceptable for indoor lab use.
  • Must meet ANSI Z87.1 safety standards.
Hearing protection; Watch out

Hearing protection

Industry standard: shop tools nearly always require hearing protection in professional settings. In a teaching lab the exposure is typically shorter than in production work, but the protection still matters.

When to use it

  • Required for prolonged exposure to loud equipment — grinders, sanders, planers and similar.

The rule of thumb: if you have to raise your voice to be heard by someone at arm’s length, it is loud enough to need protection. You do not need a meter, and most shop tools fail this test the moment they start.

The numbers behind it

OSHA measures noise as an average across the working day, in A-weighted decibels (dBA). Two figures matter:

85 dBA
The action level, averaged over 8 hours — the point at which a workplace must run a hearing conservation programme.
90 dBA
The permissible exposure limit, averaged over 8 hours.

Above 90 dBA the allowed time drops fast — every extra 5 dBA halves it:

90 dBA
8 hours
95 dBA
4 hours
100 dBA
2 hours
105 dBA
1 hour
110 dBA
30 minutes
115 dBA
15 minutes or less

Impact noise should not exceed 140 dB peak — a single hammer blow or nail gun can reach it, and that damage is immediate rather than cumulative.

These are OSHA workplace limits (29 CFR 1910.95). NIOSH recommends a stricter 85 dBA limit that halves the allowed time every 3 dBA rather than every 5. Hearing loss from noise does not come back, so treat these as ceilings, not targets.

Two types available

Earplugs
Small foam plugs inserted into the ear canal. Disposable or reusable. Available on request from the instructor.
Ear muffs
Over-ear cups covering the whole ear. Reusable and adjustable. Often preferred for intermittent use.

Both types significantly reduce harmful noise levels.

Foot protection

Foot protection

  • Minimum requirement: closed-toe shoes are MANDATORY — no sandals, no flip-flops, no open-toe footwear.

Recommended upgrades

  • Slip-resistant soles, for traction on surfaces that may be slippery.
  • Puncture-resistant soles, against sharp metal debris.
  • Steel-toe or composite-toe protection — recommended, not required.

Avoid

  • Canvas shoes or thin-soled footwear.
  • High heels or unstable footwear.
  • Anything that does not fully enclose your feet.

You will be standing for most of the lab period — choose something supportive and comfortable.

Respiratory protection; Stop

Respiratory protection

MANDATORY when using any grinder or sander, and when working with materials that produce hazardous dust.

Grinding galvanized material is PROHIBITED. Zinc fumes from galvanized steel are toxic when heated.

Health hazards

  • Metal dust and particles cause respiratory irritation and long-term lung damage.
  • Wood dust can cause allergic reactions.

Dust and fumes are not the same problem, and they do not take the same protection. The next section is the one that decides which you need.

Respiratory protection — what to wear; Stop; Watch out

Respiratory protection — what to wear

A dust mask does nothing against fumes or vapours. An N95 is a particle filter. It does not stop gases, welding or brazing fume, solvent vapour, or anything else you can smell. Wearing one while you can smell the air is not protection.

For dust — grinding, sanding, sawing

N95 mask
Filters 95% of airborne particles. The minimum for dusty work.
Half- or full-face respirator
Fitted with a particulate filter, for heavy or extended dust.

For fumes and vapours

  • You need an approved respirator with the right chemical cartridge, not a dust mask. Ask the instructor which cartridge before you start.
  • A respirator only works if it seals. A loose mask, or a beard along the seal, defeats it.
  • If there is no correct cartridge available, the job does not happen until there is.

If you can smell fumes or taste particles, your protection is inadequate. Stop work immediately and upgrade it — or stop the job.

Chemicals and liquids carry their own handling and first-aid information — see Chemicals and Safety Data Sheets.

Clothing and jewelry; Stop

Clothing and jewelry

Loose clothing and accessories catch in rotating machinery. That is how this causes serious injury or death — it is not a dress code.

Prohibited

  • Loose-fitting clothing, or garments with dangling features — drawstrings, ties and similar.
  • Long sleeves, hoodies or jackets near rotating equipment.
  • ALL jewelry, except silicone wedding rings.
  • Neckties, scarves and lanyards.
Hair, and what to wear instead

Hair, and what to wear instead

Hair

  • Long hair must be secured back and kept away from equipment.
  • Use hair ties, clips or caps to prevent entanglement.

Recommended

  • Cotton or fire-retardant materials — preferred, not required.
  • Close-fitting, short-sleeved shirts.
  • Pants without excessive loose material.
Safety/Universal Rules

Lifting and Carrying

Team lifting above 40 lbs, and the technique that keeps you in control of the load. What usually defeats a lift is the size of the thing, not its weight.

Lifting Rules; Watch out

Lifting Rules

Get a second person for anything over 40 lbs. A gym weight plate is 45 lbs and nobody lifts one in pairs. Size — not weight — is what makes shop materials hard to carry.

Forty pounds of aluminum bar is about four inches square and two feet long: you can hold it against your chest, see over it, and set it down where you meant to. A twenty-foot piece of tube can weigh less than that and still put half its length out in front of you, and a sheet of plywood fills your arms and hides the floor you are walking on. Same weight, different job.

OSHA sets no weight limit — no standard says how much a person may lift, only that a workplace be kept free of recognized hazards. The number everyone borrows comes from NIOSH, the federal institute that researches workplace injury: 51 lbs with two hands under ideal conditions, cut for every way a real lift is worse. Hold that same load at arm's length instead of against you and it rates about 20 lbs. Turning a quarter circle as you lift takes off another 30%, and nothing good to grab takes off 10% more. A load much wider than your body is outside what the equation covers at all — used there, it underestimates the hazard.

Team lifting is required for

  • Anything over 40 lbs.
  • Items lighter than 40 lbs but awkward in shape, size or balance.
  • Any object that feels unstable or is difficult to grip.

The 40 lb line is as much about dropping it as about your back. A load you cannot fully control is a hazard to your feet, the floor, the workpiece and anyone walking past — well before it is a hazard to your spine.

If you cannot hold it against your body and keep your back straight, it is too heavy for you to lift alone — whatever the number says. Weight still wins in the end; that point just sits somewhere different for every person and every shape.

Proper lifting technique; Checklist

Proper lifting technique

  • Plan the lift — clear your path and know where you are going.
  • Get close to the object before lifting.
  • Squat down using your leg muscles; keep your back straight.
  • Grip firmly with both hands; avoid awkward hand positions.
  • Lift smoothly using your legs, not your back.
  • Keep the load close to your body throughout the lift.

Setting it down

  • Use the same technique in reverse — squat down, do not bend over.
  • Place objects gently. Do not drop them.
Safety/Universal Rules

Electrical Safety

Why 50 V is a workplace control threshold, why 5 V can still burn you, the inspection required before every use, cords on the floor, and what to do when someone is shocked.

Electrical Sources

Electrical Sources

What hurts you at 5 V is not what hurts you at 240 V; one is a burn hazard while the other is a shock hazard.

5 V / 12 V
The power supply on the bench, batteries, and the battery pack out of a cordless drill. Lower shock risk, not a magic cutoff. Not below the burn threshold.
120 V
Wall outlets. Dangerous — can cause serious injury or death.
240 V / 480 V
Industrial equipment. Extremely dangerous — often fatal.

Voltage tells you whether a circuit can push current through you. It does not tell you what that circuit can do to a ring, a dropped tool or a shorted cell.

Those are two different hazards with two different thresholds. The next two sections are about how each hazard changes.

Electrical — Shock Hazard; Stop

Electrical — Shock Hazard

There is no magic voltage at which shock suddenly becomes possible. A shock can be painful without being life-threatening, and its severity depends on current, path, duration, and your body’s resistance. Higher voltage can drive more current through the body, so the risk of serious injury rises with it. In U.S. workplace rules, 50 volts is a common control threshold: at or above it, live parts must be guarded and work near exposed live parts requires specific controls.

  • OSHA requires live parts to be de-energized before you work on or near them — and then says that “live parts that operate at less than 50 volts to ground need not be deenergized if there will be no increased exposure to electrical burns or to explosion due to electric arcs” (29 CFR 1910.333(a)(1)). Read that second half again; the rest of this page hangs on it.
  • At or above the line, live parts must be guarded against accidental contact. The rule is written for “electric equipment operating at 50 volts or more” (29 CFR 1910.303(g)(2)(i)).
  • That number applies to DC as well as AC. The standard does not distinguish between them, and OSHA has stated it “considers all voltages of 50 volts or above to be hazardous” (interpretation letter, 4 September 2015).
  • NFPA 70E draws the same line. Below 50 V you may work live only where the capacity of the source and any overcurrent protection have been considered and found not to add burn or arc exposure (2024 edition, 110.2(B) Exception No. 5).

Supporting detail: Addendum 1 — “It’s not the voltage that gets you, it’s the current”.

Supporting detail: Addendum 2 — The international standards are not one number.

In this lab, use 50 V — AC or DC. It is the number OSHA enforces, it is the most conservative of the figures above, and it assumes nothing about your skin being dry or your hands being clean. If a circuit is at or above 50 V, it is not something you work on live.

Electrical — Burn Hazard; Stop

Electrical — Burn Hazard

Below 50 V, the primary concern often shifts from shock to short-circuit current. This is the half of the page people get wrong, because the voltage people assume is harmless is the one nobody is careful with.

Look at what the exemption above is actually conditioned on. Not shock — burns and arcs. NFPA 70E names the same condition as the capacity of the source. Both standards are telling you that once you are under that workplace control threshold, the question changes from how many volts to how many amps can this thing deliver into a dead short.

Where the current comes from

  • A bench supply set to 5 V will deliver its full rated current into a short without complaint. That is what the current limit is for — and if you have wound the limit up to get a motor turning, you have wound the protection off.
  • A lithium cell or pack has almost no internal resistance. Shorted, a single cell can dump tens of amps within milliseconds. A pack does considerably worse.
  • A lead-acid battery is rated in hundreds of cold-cranking amps — and that is a 30-second load test, not a ceiling. A dead short pulls far more.

None of these can push meaningful current through your body at 12 V. All of them can push hundreds of amps through a piece of metal — and metal carrying current it was never sized for gets hot, fast.

Metal jewelry is the classic way this happens

ALL jewelry is already PROHIBITED here — see clothing and jewelry. That rule was written for rotating machinery. It earns its keep a second time on the bench, and OSHA writes it a second time for exactly this reason: conductive jewelry “may not be worn if they might contact exposed energized parts” (29 CFR 1910.333(c)(8)) — a rule that states no voltage floor. The same sentence gives the way out: such articles may be worn if they are “rendered nonconductive by covering, wrapping, or other insulating means.”

A ring or a metal watch band bridging a low-voltage source is a near-zero-resistance path across something that can supply hundreds of amps. The ring becomes the heating element. This is documented injury, not a story: a mechanic’s gold ring touched the positive terminal of a 12 V car battery while the wrench in his hand bridged the ring and the negative terminal, and the result was a deep circumferential burn around the base of the finger that needed a skin graft. A review of nine ring burns at one burn center found the same pattern: the small size of the burn hides how bad it is, because a burn that wraps a finger is far more likely to need grafting and to leave lasting loss of function than a burn of the same area anywhere else.

You can drop a wrench. You cannot drop a ring.

The silicone wedding ring that the PPE rule allows is also the right answer electrically: silicone does not conduct, so it cannot become the short.

A shorted lithium cell does not just get warm

An external short is one of the recognized triggers for thermal runaway — the cell generates heat faster than it can shed it, and the outcome is “extremely high temperatures, violent cell venting, smoke and fire” (UL Research Institutes). Once it has started, disconnecting it does not stop it. The cell is now its own energy source.

NEVER leave loose cells or packs where metal can bridge the terminals — a drawer with tools in it, a pocket with keys in it, a bin with offcuts in it. Federal transport rules require lithium cells and batteries to be packed so their terminals cannot short (49 CFR 173.185). The reason that rule exists is the reason to do the same thing on your own bench.

A cell that has been shorted, dropped, crushed, punctured or has swollen is out of service. Tell the instructor. Do not put it back on charge to find out. See Fire Safety.

The sentence to take away: low voltage does not mean low energy. Voltage helps determine whether a circuit can shock you. Current decides whether it can burn you — and current is set by what the source can deliver and what is in the path, not by the number printed on the front of the supply.

Electrical Conductors; Stop; Watch out; Checklist

Electrical Conductors

Inspect every cord, every time, before it goes into the receptacle. Never run your hand along a cord while it is plugged in; that is a dangerous way to find fraying. It takes about five seconds, and it is the one check that catches most of this page before it happens rather than after.

  • With the cord unplugged, run it through your hand end to end. Look for frayed, cracked, cut or exposed insulation, and for flat spots where something has been driven over it.
  • Check the plug: blades all present, straight, tight in the body, not discolored or pitted. Check the ground pin is still there — a missing ground pin means the cord is out of service, not that you have found a workaround.
  • Check where the cord enters the plug and enters the tool. That is where flexing breaks conductors, and it is where the damage hides.
  • Inspect extension cords for cuts, crushing and wear, and check the receptacle end for scorching or melted plastic.

A power cord with its outer jacket split open across the middle, exposing the colored insulation of the conductors inside and the frayed shielding around them.

Damage like this means the cord is finished, not that it needs watching.

If you find damage, stop, unplug it, and notify the instructor. Not “just for this one cut”. Tag it or hand it over, so the next person does not find it the hard way.

Tape is not a repair. OSHA allows electrical tape over superficial scuffs in the outer jacket, and has stated just as plainly that “tape repairs of the jacket may not be used to bring a worn or frayed flexible cord into compliance” (interpretation letter, 16 December 1998). If conductors or their insulation are showing, the cord is done.

Connections and plugs

  • Always disconnect power before performing any maintenance or adjustment.
  • NEVER yank or pull a cord — grasp the plug, not the cord. Pulling by the cord wrecks the strain relief where you cannot see it, and it is how a plug ends up half out of the receptacle with the blades exposed.
  • Push a plug fully home, and look at it. A plug that will not seat is a fault to report, not a fit problem to force.
  • Keep electrical connections away from water and wet surfaces. Wet skin has on the order of 1,000 ohms of resistance where dry skin has 100,000 ohms or more, so water moves you roughly a hundredfold closer to the current every rule on this page is trying to keep out of you.
  • Be aware of overhead wiring when you are handling long stock, moving a ladder or lifting.

A partly unplugged appliance is a short waiting for something to land on it

  1. Plug fully seated A plug is fully seated in a wall receptacle. No metal blades are exposed. 1 FULLY IN NO EXPOSED BLADES
  2. Plug pulled partly out The same plug is pulled halfway out of the wall receptacle, leaving both metal blades exposed in the gap. 2 EXPOSED GAP BLADES ARE LIVE
  3. Metal chip bridges exposed blades A metal chip falls across the two exposed blades and short-circuits the supply. A flash marks the contact point. 3 CHIP BRIDGE DEAD SHORT
The hazard is the gap, and it is there before anything lands in it.

Exposed blades sit at full line voltage with nothing between them but air. Anything conductive that falls across them completes the circuit straight across the supply — and in a shop, the thing that falls is a metal chip. What follows is not a shock. It is a dead short: a bang, a hard flash, and enough heat at the contact point to weld and pit the blades. It will very likely trip the breaker and it can wreck the outlet or whatever is plugged into it. The breaker protects the wiring, not your face, and it does not act until after the flash.

Plugs are all the way in or all the way out. Nothing in between, and nothing left in between.

Chips travel further than you expect and they conduct — see Metal Chips and Swarf. That is the direct line between the housekeeping rules and this one.

Lockout/Tagout for machinery with moving or rotating parts is covered in Machine Hazards and Housekeeping.

Cords on the floor — the one most likely to get you; Stop; Checklist

Cords on the floor — the one most likely to get you

Nothing else on this page is as likely to actually injure someone as a cord lying across a walkway. It is not a shock hazard at all. It is a trip hazard — and a trip in a shop is not a trip onto carpet. You land on concrete, or into a machine, or on something sharp.

The regulation treats this as a floor problem rather than an electrical one: “walking-working surfaces are maintained free of hazards such as sharp or protruding objects, loose boards, corrosion, leaks, spills, snow, and ice” (29 CFR 1910.22(a)(3)), and passageways and work areas are kept “in a clean, orderly, and sanitary condition” (29 CFR 1910.22(a)(1)). A cord across an aisle is an obstruction in an aisle.

A person mid-stumble in a shop, one foot caught in a coiled yellow extension cord run across an open concrete walkway, both hands thrown out to break the fall.

A trip in a shop is not a trip onto carpet. You land where the machines are.
The correct route is longer and costs nothing. That is the whole argument.

What to do, in order of preference

  • Do not cross the walkway. Move the work to the outlet, or use a different outlet. This is almost always available, and it is almost never the first thing anyone tries.
  • Route along the wall or the bench line rather than across open floor. Take the long way around the edge of the room.
  • Go overhead where a drop or a reel is provided. That is what they are for.
  • If it genuinely must cross, cover or anchor it. OSHA’s own guidance is to “ensure that temporary electrical cords that cross aisles are taped or anchored to the floor”. A cord ramp or cord cover does the same job better and protects the cord as well as the person.
  • Use the shortest cord that reaches. Slack on the floor is the hazard, and a coiled surplus in a walkway is the same hazard in a tighter package.
  • Unplug it and put it away when you are done, in the same movement as shutting the tool down. The cord left out after the job is finished is the one nobody is expecting.

PROHIBITED — running a flexible cord through a doorway, a window, or a hole in a wall, ceiling or floor, and attaching it to building surfaces. Those are named prohibitions in the electrical standard (29 CFR 1910.305(g)(1)(iv)), along with using flexible cord as a substitute for the fixed wiring of a building. Flexible cord is temporary by definition. A cord treated as permanent gets pinched, crushed and forgotten.

NEVER walk past a cord lying across a walkway and leave it because it is not yours. If you can see it, you can move it or say something. The person who trips over it will not have seen it.

Read from the cord’s side, the rule is the same: portable equipment must be handled so it is not damaged, and every cord set must be inspected before use on any shift for cuts, crushing and a pinched jacket (29 CFR 1910.334(a)). A cord that gets walked on is a cord that fails the inspection above. This section and that one are the same problem twice.

Keeping walkways clear is the Set in Order and Shine part of 5S. The safety case and the lean case are the same case.

If someone is shocked; Stop; Watch out

If someone is shocked

Do NOT touch them directly. If current is still flowing they are part of the circuit, and grabbing them puts you in it as well.

  • Kill the power first — the machine switch, the disconnect, the breaker, or pull the plug.
  • If you cannot kill it, use a dry, non-conductive object to separate them from the source, and stand on something dry while you do it.
  • Then call for help and start first aid.

Call 911 and notify the instructor — follow emergency procedure.

A small mark is not evidence of a small injury. Electrical and electrothermal burns run deep with very little to see on the surface, and a burn that wraps a finger can cost the use of it. Any shock, and any electrical burn, gets reported and gets looked at — however fine the person says they are.

Safety/Universal Rules

Chemicals and Safety Data Sheets

Every chemical and liquid in the shop has a Safety Data Sheet. Read it before you use the material, not after.

What is a Safety Data Sheet (SDS)?

What is a Safety Data Sheet (SDS)?

A Safety Data Sheet is the manufacturer's written answer to what their product can do to you, what to wear, and what to do when it goes wrong.

There are sixteen sections, always in the same order. You do not need to read a SDS front to back but you should read the following three sections before you use a product.

Section 2
Hazard(s) identification. What the chemical can do to you, in the manufacturer's own words — a signal word, the hazard statements, the red-bordered pictograms.
Section 4
First-aid measures. On skin, in eyes, breathed in, swallowed.
Section 8
Exposure controls / personal protection. Gloves, eye protection, ventilation — the PPE answer for that specific chemical, rather than the general one.

None of this is a local rule. OSHA requires a sheet for every hazardous chemical, and requires the sixteen sections and the order they come in — 29 CFR 1910.1200(g).

Supporting detail: Addendum 3 — All sixteen sections, and the four OSHA does not enforce.

Supporting detail: Addendum 4 — Signal words, pictograms and H-numbers — how Section 2 is written.

Where is SDS binder located?

Where is SDS binder located?

  • All Safety Data Sheets are organized in a designated binder for easy reference.
  • Review before use — check the sheet for any unfamiliar chemical or liquid.
  • Ask the instructor if you cannot locate the sheet for a material.

The binder is one way of satisfying the rule underneath it. 1910.1200(g)(8) requires an employer to keep the sheets "readily accessible during each work shift to employees when they are in their work area(s)", and allows electronic copies in place of paper "as long as no barriers to immediate employee access in each workplace are created by such options." Binder or screen, the test is the same: the sheet is something you can reach now, not something you have to go and ask for.

Your responsibility: know the hazards of any chemical you are using, and follow the proper handling procedures.

Supporting detail: Addendum 5 — Telling a current sheet from an old one.

Material Storage and incompatible materials

Material Storage and incompatible materials

  • Flammable liquids must be stored in an approved flammables cabinet when not in use.
  • NEVER store incompatible chemicals together.
  • All containers must be properly labeled.

“Incompatible” is not a judgement call, and answering it needs no chemistry. It is written on the sheet, by name, in two places:

Section 10
Stability and reactivity. One of its required entries is "incompatible materials" — what this chemical must not contact. Beside it sit "conditions to avoid" and "hazardous decomposition products", which is what the two of them would make.
Section 7
Handling and storage. Required to give "conditions for safe storage, including any incompatibilities" — the same question answered for the shelf rather than for the reaction.

So the test before two things share a cabinet: open both sheets and read Section 10 on each. The entry may name a specific substance or a whole class of them — oxidizers, strong acids. If either sheet names the other material, they do not go together. Read both, because the pair may only be called out on one of them.

Fumes and dust have a PPE requirement of their own — see respiratory protection.

Supporting detail: Addendum 6 — What makes a flammables cabinet “approved”, and how to spot one.

Safety/Universal Rules

Machine Hazards and Housekeeping

The two ways a machine injures you - it catches hold and pulls you in, or it closes on you - plus the environment around it and the habits that keep both off you.

Rotating machinery; Stop; Watch out

Rotating machinery

Rotating machinery injures you by catching hold of something and pulling it in. It does not have to catch your hand. It catches a sleeve, a glove, a lanyard or a strand of hair, and your hand goes wherever that goes.

Gears, pulleys and belts, chains and sprockets are extremely dangerous. Where a rotating part meets another surface there is a wedge that closes to nothing — an in-running nip point, the place the machine feeds things into itself. It is where the belt runs onto the pulley, where the chain runs onto the sprocket, where the gear teeth mesh.

The contact and the injury happen in different places. You touch the belt out in the open, where it looks like a moving strap; the belt carries you to the pulley, where there is no gap at all. That distance is why staying clear of the nip point is not enough on its own — anything the machine can grip is a handle it uses to bring you there.

What gets caught

  • Loose clothing, jewelry and unsecured hair — see clothing, jewelry and hair.
  • Gloves. Gloves or rags are for handling sharp objects such as cutters, and only once the machine is shut down. NEVER wear gloves at a running machine — a glove catches where bare skin would pull free, and takes your hand with it. See chips and gloves.
  • A long stringy chip still connected to the cut — see Metal Chips and Swarf.

It does not take teeth, and it does not take speed. A plain smooth shaft turning slowly will still wind hair or cloth onto itself, and once it has a turn or two it does not let go.

Contact happens where the belt is open. The injury happens where it closes.

Supporting detail: Addendum 7 — The word for this, and where it comes from.

The rotating parts that have no cover

Belts, gears and chains belong behind covers. The working end of a machine does not. The spindle — the driven shaft the motor turns — the chuck that grips the tool or the work, and the stock (the raw material) held in it all turn out in the open. Nothing is between you and them, because you have to reach them to do the job.

So everything above about what gets caught applies here with nothing in the way — and it applies to every machine that turns, not only the loud ones. A drill press is quiet, it is slow, and it looks like the harmless one. It is still an open chuck spinning, and it will wind hair, a sleeve or a glove onto itself like anything else. Slow is how long it takes, not whether it happens.

A cartoon machinist beside a drill press. A torn scrap of his shirt sleeve is knotted around the chuck and spinning with it. The sleeve has been ripped off at his shoulder, leaving the arm bare, with a ragged strand of cloth still trailing from the shoulder toward the chuck. He is pulling away, one hand braced flat on the drill press table.

The sleeve tore before the arm did. That is the shirt’s doing, not the machine’s.

The lathe is where this goes furthest, and the reason is what a lathe is. Most machines hold the work still and move a cutter across it; a lathe does the opposite and turns the work. What is spinning in the open is then not a bit the width of a pencil — it is the whole part, as long and as heavy as that part happens to be. That is why the fatality reports for lathes describe something other than a hand injury: a person wound onto their own workpiece.

A cartoon machinist at an engine lathe. The front of his shirt has wound several turns onto the workpiece turning in the chuck, and the cloth is stretched taut off his chest. His feet are planted and his free arm is thrown out as the machine hauls him against the bed.

Wound on, cloth is a rope. Each revolution takes up another turn, and bracing changes nothing.

The question, before anything is switched on: what is turning, and what of mine can reach it? A sleeve, a glove, loose hair and a strip of abrasive cloth held against the work have each pulled somebody into a machine. Every one of them is easier to deal with before the spindle is turning than after.

None of this is a ranking. The mechanism is the same on every machine that turns, and the one that can catch you is whichever one you are standing at.

Supporting detail: Addendum 8 — What the investigations actually describe.

Moving machinery and pinch points; Watch out

Moving machinery and pinch points

Moving machinery injures you without ever catching hold of you. Two surfaces close on each other with you in between. Nothing pulls you anywhere — you run out of room.

What makes a pinch point

A pinch point is a gap that is closing: two parts, at least one of them moving, with space between them that is on its way to nothing. That is the whole of it, and it is why pinch points are hard to spot. There are no teeth, no edge and often no noise. A wide gap and a narrow gap look the same until the last inch, and the gap does not care what is in it.

Two kinds of movement, and both make one:

Back and forth, up and down
A press ram, a drill head coming down, a saw guide being lowered, a clamp closing. You are caught between the part that moves and the part that does not.
Straight along
A table, a carriage or a saddle travelling. It closes the gap against whatever waits at the end of its travel — a stop, a column, the machine’s own frame, or the hand resting there.

Where they hide

  • Between the work and whatever holds it. A vise jaw, a clamp, a fixture: the hand steadying the workpiece is inside the gap that is closing on the workpiece.
  • At the end of a table’s travel. Wind it far enough and the space between the table and the frame goes to zero, with whatever was resting there in between.
  • Under anything that comes down. A head, a ram, a guard, a guide.
  • On hinges. Covers, doors and lids close on their own frames — at the free edge, where a hand is holding them, and again right at the hinge, where the gap closes over almost no distance at all.

A pinch point needs no power, no speed and no noise. A vise turned by hand multiplies what you put into the handle many times over, and it closes slowly and quietly enough that nothing warns you. Switching a machine off removes the part that would have closed the gap for you. It does not remove the gap.

The question to ask

Before moving anything — a handwheel, a lever, a clamp, a guard — what closes, and what is in the way? Follow the moving part to the end of its travel and find what it meets there. Then look at where your hands are, and where they will still be once you are watching the cut instead of watching your hands.

A pinch point is a gap on its way to zero. It looks safe for most of the trip.

Supporting detail: Addendum 9 — Why belts and chains count as rotating, not pinching.

Guards stay on, and taking one off is not your call; Stop

Guards stay on, and taking one off is not your call

A guard is the thing standing between you and everything the two sections above describe. It is not an accessory, and it is not in your way — it is doing the one job nothing else on the machine does.

No one removes a guard in this lab. A machine that needs a guard off is the instructor’s to deal with, out of class.

That is the whole rule, and it is deliberately not a judgement call. You do not have to decide whether this particular setup is the exception, whether the cut is short enough, or whether you will be careful. If the guard is in the way, the answer is to stop and say so — not to work out whether you can manage without it.

It also means a machine you find with a guard already missing is not ready to use. Say something. You have not done anything wrong by finding it that way, and the person who uses it after you has no way of knowing.

Supporting detail: Addendum 10 — Why the rule has no exceptions in it.

Lockout/Tagout — before anyone works on a machine; Stop

Lockout/Tagout — before anyone works on a machine

Everything on a machine that turns or travels does so because something is powering it. Lockout/Tagout is how that power is taken away and kept away while somebody works on the machine.

NEVER work on equipment with rotating or moving parts without first disconnecting power.

Lockout/Tagout procedures must be followed for maintenance.

The two words

Lockout
A lock on the device that isolates the energy — the disconnect, the breaker, the valve — so it physically cannot be switched back on.
Tagout
A tag on that same device saying who put it there and why, so nobody removes it wondering.

Off is not disconnected, and disconnected is not still

  • Off is not disconnected. A machine’s own on/off switch is a control. Someone can press it back on, and either way the machine is still connected to its supply. The disconnect is the thing that gets locked.
  • Disconnected is not still. A spindle coasts. A raised head or ram drops. A spring, a charged capacitor or air still in a line will all move something after the power is gone. Energy already inside the machine is part of what the procedure has to deal with.

Supporting detail: Addendum 11 — What the standard actually covers.

The environment around the machine

The environment around the machine

Slip hazards
Clean dust, metal chips, water and coolant off the floor immediately.
Lighting
Ensure lighting is adequate before operating any machine.
Walkways
Keep aisles and emergency exits unobstructed.
Operating habits

Operating habits

  • The chuck key never leaves your hand. It is not released until it is out of the chuck. There is no moment where the key is in the chuck and not in your grip — not to reach for something, not to answer someone, not for a second.
  • Stop machines completely before taking measurements or making adjustments.
  • Secure all workpieces before operation — use clamps, vises or fixtures.
  • Never leave tools on or near operating machinery.

Supporting detail: Addendum 12 — Why the chuck key rule is worded as a grip and not as a reminder.

The shutdown and cleaning steps that close every session are in After operating any equipment.

Safety/Universal Rules

Fire Safety

When to fight a fire and when to leave, and how to use an extinguisher.

Decide before you reach for anything; Stop; Checklist

Decide before you reach for anything

An extinguisher is for a small fire you caught early.

Fight it only if all four are true

  • The fire is small and contained — a bin, a rag, a puddle. Not spreading.
  • You know what is burning, and you have the right extinguisher for it.
  • You have a clear exit behind you and the fire is not between you and it.
  • Someone else has already raised the alarm.

Otherwise: get out. Pull the alarm, leave, call 911 from outside, and tell the instructor and the fire crew what was burning.

If you try and it does not go out in the first few seconds, stop and leave. A hand extinguisher lasts roughly 10–20 seconds. That is your whole attempt.

Using an extinguisher — PASS

Using an extinguisher — PASS

Remember the acronym: P–A–S–S.

When it looks out, back away watching the fire, exit behind you. Do not assume it is over — a knocked-down fire can reignite.

Fire classes, and what puts them out

Fire classes, and what puts them out

Fires are classed by what is burning. An extinguisher is rated for the classes it can handle, and using the wrong one ranges from useless to dangerous.

    Most extinguishers on a wall are ABC dry chemical — one unit covering the first three classes. Check the label; the classes it is rated for are printed on it.

    Metal fires, and what it takes to start one; Stop; Watch out

    Metal fires, and what it takes to start one

    Metal burns only when it is divided finely enough, and then only when several conditions line up at once. Ordinary aluminum chips and swarf will not do this, and neither will the quantities of fine material a lab space like this one generates. Solid stock does not burn at all. The cases below are the ones that are genuinely different.

    The form matters more than the metal

    • Magnesium is the real Class D case. Thin sections, chips and turnings ignite readily and burn with intense heat and a brilliant white light, and dull tools alone can produce enough heat during machining to start it.
    • Titanium turnings can ignite, and titanium fines and grinding dust are worse — fine enough that a static discharge is a credible ignition source.
    • Aluminum fines — the dust off sanding, grinding, buffing and polishing — are a genuine hazard, but only through the specific mechanisms below.
    • Aluminum chips and swarf are hard to ignite. Aluminum carries heat away from a hot spot fast, it wears a tough oxide skin that holds together while the metal underneath melts, and a chip has little surface area for its mass. Put a torch to a pile of chips and they melt.
    • Solid stock does not burn. A block of aluminum is not fuel.

    Magnesium and titanium are not common in student labs. A senior project might bring one in. If you are about to cut, grind or sand either one, ask first — every time.

    Size is the usual line — shape is the exception

    The line in the standard is about half a millimeter, measured across a particle’s smallest dimension — which different editions write as 500 microns or as 420 microns (fine enough to pass a 40-mesh sieve), not two separate limits. Below it, metal dust can carry an explosion. Above it, generally it cannot — and generally is the word the standard uses, not never.

    Flakes are the exception, and buffing and polishing make flakes. A flake is wide but thin, so it is too big for the sieve and still burns like dust. Treat anything off a buffing or polishing wheel as fines however big it looks. Machining chips are genuinely coarse — that is the difference between a chip tray and a dust collector.

    The ways fine metal actually ignites

    • A suspended dust cloud meeting an ignition source. Fines sitting in a tray are not the hazard. Fines thrown into the air, at the right concentration, reaching a flame, a torch, a spark or a static discharge, are — burning travels from one particle to the next with extreme speed. It is why you never blow fine dust around, and why you do not raise a cloud of it cleaning up.
    • Fines heavily mixed with rust or grinding scale. Aluminum plus iron oxide — rust, or the scale off steel grinding — is a thermite reaction: the aluminum strips the oxygen off the iron, so the mixture burns without needing air from outside. That is what makes it a metal fire rather than an ordinary one, and why water and an ABC extinguisher do nothing to it. It takes a real mixture to go — something near three parts iron oxide to one part aluminum by weight, and an ignition source far hotter than a spark. That is a rust-caked pile, not a trace. See Metal Chips and Swarf for how far apart that threshold and the recycling one actually sit.
    • Wet fines. Aluminum fines in contact with water slowly give off hydrogen. That is a reason not to seal damp fines into a closed container, and part of the reason water is the wrong thing to put on a metal fire.

    If fine metal does ignite

    Do not fight it. Most general-purpose shops have no Class D extinguisher — assume you do not have one unless somebody has shown you where it is. Pull the alarm, get out, call 911, and tell the fire crew it is a metal fire. That changes how they fight it, and they need to know before they arrive with a hose.

    PROHIBITED — the ABC extinguisher off the wall. “Dry powder” (Class D) and “dry chemical” (ABC) are not the same thing. An ABC unit throws an incompatible agent at pressure: it scatters burning fines and spreads the fire.

    NEVER put water on a metal fire. The stream throws burning material, can raise an explosive dust cloud, and reacts with the metal to release hydrogen.

    Alarm, evacuate, report.

    Supporting detail: Addendum 13 — Why dry sand is on the list, and why it is probably not on yours.

    What that means day to day

    • Do not let fine dust accumulate. Empty trays, vacuums and collectors rather than letting them fill — see Machine Hazards and Housekeeping for housekeeping.
    • Chips and fines are disposed of differently, and the difference matters — see Metal Chips and Swarf.
    • Let hot chips and debris cool before they go anywhere near a bin of paper or rag.
    • Ask before you machine an unfamiliar metal. If you do not know what it is, that is the answer: ask.
    Hot work and the things that start fires

    Hot work and the things that start fires

    • Grinding throws sparks a surprising distance. Clear rag, sawdust, solvent and packaging out of the area before you start, not after it smolders.
    • Oily rags — it depends entirely on which oil. Drying oils — linseed, tung, oil-based stains, varnishes and finishes — cure by reacting with oxygen, and that reaction gives off heat. Bunched in a pile the rags hold the heat in, and the pile can reach ignition on its own with nothing to light it. Those rags NEVER go in a pile: spread them flat to dry, drop them in water, or use the designated container.
    • Petroleum oils do not do that. Way oil, cutting fluid, hydraulic oil and ordinary shop oil do not cure by oxidation, so a rag wiped with them will not self-heat and will not spontaneously combust. It is still combustible — a spark or a hot chip will light it like any oily cloth — so keep it away from hot work and out of a bin of paper or sawdust. If you do not know which oil is on the rag, treat it as a drying oil.
    • Flammable liquids live in a flammables cabinet when they are not in your hand — see Chemicals and Safety Data Sheets.
    • A smoldering fire can restart long after you leave. If something got hot enough to smoke, tell the instructor before you go.
    Know these before you need them; Checklist

    Know these before you need them

    None of the above helps if you are looking for equipment while a fire grows. On your first day in any lab space, locate:

    • The nearest fire extinguisher, and what classes it is rated for.
    • The nearest alarm pull station.
    • Both ways out of the room, and the route that does not pass the machines.
    • Where your class gathers outside, so you can be accounted for.
    • The first aid kit and the emergency stops — see Lab Conduct and Emergencies.
    Safety/Equipment

    Metal Chips and Swarf

    Chips come off hot, razor sharp and fast. How to handle them, how to clean them up, and the rules on compressed air.

    Four reasons a chip is dangerous

    Four reasons a chip is dangerous

    A chip is not scrap until it has cooled and stopped moving. Straight off the tool it is every one of these at once.

    Hot
    Where an aluminum chip forms, the cut runs roughly 250–650 °C (500–1200 °F), depending on the alloy and the speed. Chips do not look it.
    Sharp
    The leading edge of a chip is always razor sharp. It is a freshly cut edge and it will open a hand.
    Strong
    A long continuous chip is a steel ribbon. If it wraps a sleeve or a limb it can pull you into the machine.
    Slippery
    Chips on the floor roll underfoot. This is one of the most common ways people get hurt without the machine touching them.
    Never clear chips with your hands; Stop

    Never clear chips with your hands

    Do not reach into a machine to clear chips while it is running, and do not pick up a long stringy chip by hand at any time. Stop the spindle, then deal with it.

    Gloves

    • Gloves may only be used for cleanup after the machine is shut down.
    • Never wear gloves at a running machine. A glove catches where bare skin would pull free, and takes your hand with it — see Machine Hazards and Housekeeping.

    Brush

    • A brush may be used while the machine is in operation — your hands stay outside the machine. If clearing the chip means reaching in, stop the spindle first.
    • On a CNC machine, take particular care: the tool can move without warning, and the enclosure invites you to reach further in than you should.
    Compressed air — there are limits on this; Watch out; Checklist

    Compressed air — there are limits on this

    Compressed air is convenient and it is the option people reach for first. It is also regulated, because a chip in a moving air stream is a projectile and air forced against skin can be driven into the body.

    The rule

    OSHA permits compressed air for cleaning only where it is reduced to less than 30 psi, and only then with effective chip guarding and personal protective equipment (29 CFR 1910.242(b)). All three conditions, together — not the pressure alone.

    Chip guarding is anything that stops a chip reaching eyes or unbroken skin: a protective cone nozzle covers the operator, and a screen or barrier is what covers everyone else.

    In practice

    • The 30 psi is measured at the nozzle, dead-ended — blocked by the work or a hand — and is met by a limited air nozzle or a regulator, not by the supply pressure upstream of it.
    • Eye protection, every time. Everyone nearby too — you do not get to decide the range.
    • Never at skin, yours or anyone else’s.
    • Never toward another person, and check who is behind the machine first.
    • Never into an enclosed space.
    • If air would just relocate the mess into the air or across the shop, use a brush or the vacuum instead.
    Cleaning up; Stop; Checklist

    Cleaning up

    • Use cleaning equipment or gloves to handle chips for disposal — the sharp edge does not dull because the machine stopped.
    • Clear the machine so only the residue in the bottom tray remains.
    • Sweep the floor, and mop if the floor is wet with coolant.
    • If cleaning equipment such as a vacuum gets wet, open it up and let it dry before it is put away.

    Chips and fines do not go in the same place

    • Chips and swarf go in the recycling container. That container is for chips only.
    • Fines go in the trash. Dust from sanding, grinding, buffing and polishing, and what comes out of a dust collector — never the recycling container.

    Why — two reasons, and the second one is the safety reason

    • The recycler pays for clean aluminum. A clean load gets the aluminum price; mix another metal in and the whole load drops to a much cheaper one. Fines pick iron up — off a shared belt or wheel, off steel work at the next bench — so fines do not go in.
    • Compare how often each container actually leaves the building. A chip recycling container fills slowly and can stand most of a semester between pickups; the trash goes out daily. Fines belong in the stream that leaves, not the one that stands in the corner for months quietly collecting more of them. Anything whose problem is accumulation does not go in the container designed to accumulate.

    Two thresholds, same observation. “There is iron in the fines” is a real problem for the recycling price and not a fire problem — and the reason both are true at once is that the two thresholds are orders of magnitude apart. The price threshold is a trace: a few steel chips are enough to drop the whole load to the cheaper price. A thermite reaction needs iron oxide — rust or grinding scale, not bright steel — at something near three parts oxide to one part aluminum by weight, plus an ignition source far hotter than a spark. That is most of the pile, not a trace. Most rules in a shop have a number behind them; knowing which number you are being measured against, and how far you actually are from it, is the difference between following a rule and understanding it.

    Fine dust burns; chips do not. Aluminum chips and swarf are hard to ignite. The fire hazard is fines — and then only when a cloud of them is thrown into the air and meets an ignition source, or when a great deal of rust or steel grinding scale is mixed into them. Do not let fine dust accumulate, and do not raise a cloud of it cleaning up.

    If fine metal debris does ignite, do not fight it. The ABC extinguisher on the wall is the wrong tool and will scatter it. Alarm, evacuate, and tell the fire crew it is a metal fire. See Fire Safety.

    Safety/Universal Rules

    Lab Conduct and Emergencies

    What is never acceptable in a lab, what alertness actually requires, and what to do when something goes wrong.

    Prohibited behavior; Stop

    Prohibited behavior

    • NEVER operate equipment under the influence of drugs, alcohol, or medication that causes drowsiness.
    • NO horseplay, pranks or roughhousing in any lab area.
    • Do not distract others who are operating equipment.
    • No unauthorized experiments or modifications to equipment.
    Staying alert

    Staying alert

    • Stay focused — maintain concentration while operating equipment.
    • Take breaks when tired or distracted.
    • Ask questions if you are unsure about any procedure.
    • Report unsafe conditions immediately to the instructor.
    Emergency procedures; Checklist

    Emergency procedures

    • Know the location of emergency stops, fire extinguishers, first aid kits and exits.
    • Call 911 for serious injuries or fires.
    • Notify the instructor immediately of any incident, injury, or near-miss.
    • Do not move a seriously injured person unless they are in immediate danger.

    For electrical shock specifically, the first action is different — see If someone is shocked.

    Workspace responsibility

    Workspace responsibility

    • Clean as you go — do not wait until the end.
    • Report equipment problems before they become safety hazards.
    Lab Conduct and Emergencies
    Injury or emergency  ·  Call 911 — or Murray State University Police at 270-809-2222
    Lean and Quality/Lean and Organization

    5S Workplace Organization

    The five-step workplace organization method. It is a lean manufacturing practice, and it is also why a tidy shop is a safer one.

    Why 5S sits in a safety module

    Why 5S sits in a safety module

    5S is a lean manufacturing method for organizing a workplace. It earns its place here because most of what it asks for is also what keeps people from getting hurt.

    A cluttered bench hides a hazard. An unlabeled container is an unknown chemical. A floor with chips on it is a slip. Every one of those is a 5S failure before it is an incident — which is why the shutdown steps in After operating any equipment are 5S in everything but name.

    This page is the basics. 5S will get its own expanded treatment later.

    Sort — Seiri

    Sort — Seiri

    • Separate necessary items from unnecessary ones.
    • Remove or relocate items that do not belong in the work area.
    • Keep only what you need for the task in front of you.
    Set in Order — Seiton

    Set in Order — Seiton

    • Organize and label the remaining items clearly, for easy identification.
    • A place for everything, and everything in its place.
    • Create logical, efficient storage systems.
    Shine — Seiso

    Shine — Seiso

    • Clean work areas to maintain high hygiene standards.
    • Reduce accident risk through cleanliness and organization.
    • Inspect while cleaning — that is how problems get found early.

    This is the step that overlaps most directly with safety — see the environment around the machine.

    Standardize — Seiketsu

    Standardize — Seiketsu

    • Establish consistent procedures for maintaining the first three S’s.
    • Create habits through regular practice and routine.
    • Ensure everyone follows the same organizational systems.
    Sustain — Shitsuke

    Sustain — Shitsuke

    • Continuously review and maintain all 5S practices.
    • Build the discipline to follow established procedures long-term.
    • Regular audits, and improvements to the system itself.
    Safety/Equipment

    Manual Lathe

    Check workholding and material support before starting; keep clear of the rotating work and stop for hazardous chip strings.

    Manual lathe: Category 3 in the Metals lab

    Manual lathe: Category 3 in the Metals lab

    A lathe rotates the workpiece against a cutting tool. See Lathe Operations for chucks, work support and turning operations.

    Category 3 in the Metals lab. Follow Equipment Categories and Supervision for permission and supervision.

    Complete Equipment Operating Procedure and Personal Protective Equipment before this machine-specific check. The general entanglement and stopping rules are in Machine Hazards and Housekeeping. In our labs, nothing that can get caught by the lathe comes near it: no long, untied hair, long sleeves, gloves or rings (see Personal Protective Equipment).

    Check the setup and the material extending through the spindle; Checklist

    Check the setup and the material extending through the spindle

    In our labs, check the setup before starting the lathe.

    • Check that the chuck or other workholding grips the part securely and that the cutting tool is secured.
    • The chuck key never leaves your hand. It is not released until it is out of the chuck (see the chuck-key rule).
    • Check the support for long material, including material extending through the back of the spindle. In our labs, never run long, unsupported material through the spindle.
    • Check the planned movement of the tool and carriage against the chuck, workpiece and supports.
    • Locate the emergency stop and foot brake, and confirm how to operate them before starting.

    A long unsupported bar can whip as it rotates. Support at the cutting end does not establish that the part behind the spindle is safe.

    The whole workpiece rotates; chip strings can catch and cut

    The whole workpiece rotates; chip strings can catch and cut

    The chuck, workpiece and any material projecting from the spindle are rotating hazards. Apply the entanglement rules to the entire setup, including its back side.

    In our labs, stop and clear long chip strings when they become a hazard. Never pull a chip string by hand. Use Metal Chips and Swarf for removal and cleanup. If long strings keep forming, have the instructor review the cutting setup before continuing.

    If the work shifts or the setup behaves unexpectedly, stop safely

    If the work shifts or the setup behaves unexpectedly, stop safely

    Do not try to steady rotating work or catch a loose part. Use the stopping controls you were shown if you can reach them safely, keep clear, and notify the instructor. Use Lab Conduct and Emergencies for an injury or emergency.

    Finish with the shutdown procedure and chip cleanup. A stopped spindle is required before measuring or changing the setup; maintenance requires the isolation procedure in Machine Hazards and Housekeeping.

    Safety/Equipment

    Vertical Mill

    Check workholding, cutter clearance and cutting settings; recognize the different categories for manual and CNC mills.

    Manual mill: Category 3; CNC mill: Category 2 in the Metals lab

    Manual mill: Category 3; CNC mill: Category 2 in the Metals lab

    A vertical mill uses a rotating cutter to remove material held in a vise or clamps. See Vertical Mill Anatomy and Motion for the machine's parts.

    The manual mill is Category 3 in the Metals lab; the CNC mill is Category 2 there. Use Equipment Categories and Supervision for the corresponding permission and supervision requirements.

    Start with Equipment Operating Procedure, Personal Protective Equipment, Machine Hazards and Housekeeping and Metal Chips and Swarf. For the Tormach workflow, use Vertical Mill Startup, Setup and Shutdown; its controller sequence is not a startup sequence for a manual mill.

    Check clamping, cutter travel and cutting settings before the cut; Checklist

    Check clamping, cutter travel and cutting settings before the cut

    In our labs, check and recheck the workpiece clamping before beginning an operation.

    • Check the vise or clamps and the cutter's retention. Confirm the tool can follow the planned path without striking the workholding.
    • Identify the closing gaps between the moving table, workholding and machine frame. Keep the planned travel clear.
    • Check spindle speed, feed, depth of cut and width of cut for the planned operation.
    • Check coolant and slide lubrication as directed for the installed mill. Report low levels, damage or a maintenance need rather than adjusting the machine's sliding fits yourself.
    • Complete the installed mill's guard and emergency-stop checks from Equipment Operating Procedure and Machine Hazards and Housekeeping.
    A rotating cutter and a moving table create different hazards

    A rotating cutter and a moving table create different hazards

    The cutter can cut or catch what touches it; the table can close a gap against the column, vise or clamps. Keep clear of both the cutting area and the table's travel. CNC motion follows the program, so a pause in motion is not permission to reach in.

    Use Machine Hazards and Housekeeping for stopping before measurements and for isolation before adjustments or maintenance. Use Metal Chips and Swarf for chip removal, including the required controls if compressed air is used.

    If a tool breaks or the work comes loose, step away

    If a tool breaks or the work comes loose, step away

    In our labs, step away if a tool breaks or the workpiece becomes loose. Stop the mill if it is safe to do so; do not endanger yourself to reach a control. Notify the instructor in every case.

    If injured, ask for help and follow Lab Conduct and Emergencies. For normal shutdown use the installed mill's procedure and Equipment Operating Procedure; the Tormach sequence is in Vertical Mill Startup, Setup and Shutdown.

    Safety/Equipment

    Drill Press

    Clamp wood or metal securely, remove the chuck key and keep clear of the rotating bit, work and chips.

    Guided holes: Category 2 in both labs

    Guided holes: Category 2 in both labs

    A drill press guides a rotating bit into work held on a table. Bit selection determines the hole it can make; see drill-bit choices for wood.

    Category 2 in the Woods / Construction lab and Category 2 in the Metals lab. Follow category permission and supervision requirements.

    Complete Equipment Operating Procedure and Personal Protective Equipment. The exposed chuck and bit are an entanglement hazard (see Machine Hazards and Housekeeping). Before you start, check the clothing and hair rules: long hair secured back, no long sleeves, hoodies or jackets near the spindle, no jewelry except a silicone wedding ring, and nothing dangling.

    Before starting: secure the bit, work and vise; Checklist

    Before starting: secure the bit, work and vise

    • Select a bit and spindle speed suitable for the material and hole diameter. Have the instructor confirm an unfamiliar setup; a list of bit types is not approval to use every type in this press.
    • With the machine isolated for setup, seat and tighten the bit using the installed chuck's procedure. The chuck key never leaves your hand. It is not released until it is out of the chuck. Do not count on a key ejecting itself (see the chuck-key rule).
    • Clamp wood and metal to the table, or grip the work in a vise secured to the table. Secure small parts in a suitable vise or fixture; clamp larger parts with adequate support. Handholding is not workholding.
    • Check that the bit's full travel clears the table, vise and clamps. For a through-hole, provide clearance beneath the work or suitable sacrificial backing.
    • Secure the table at the required height and check that the work cannot rotate or lift when the bit catches.
    Feed steadily and keep hands away from the rotating work

    Feed steadily and keep hands away from the rotating work

    A bit can catch and turn an unsecured part into a spinning lever. That is why a vise must be secured as well as tightened around the work.

    1. Start with the bit clear of the work. Feed steadily so it cuts without being forced.
    2. Ease the feed as the bit breaks through the underside. Keep hands clear rather than reaching underneath to support the exit.
    3. Withdraw the bit under control, then stop the spindle before releasing or moving the work.
    4. Stop before clearing chips near the bit. For metal, use the chip-handling and cleanup procedure; do not pull a stringy chip by hand.

    Supporting detail: Addendum 14 — Why larger drills usually need fewer revolutions per minute.

    If the bit breaks or the part comes loose: stand clear

    If the bit breaks or the part comes loose: stand clear

    Do not grab a spinning part. Step clear and stop the drill press using a safely reachable stop control. For a broken bit, use the emergency stop if safely reachable. Wait for motion to cease and notify the instructor; do not restart until the fault and workholding have been checked.

    For injury, follow Lab Conduct and Emergencies. Finish normal work with shutdown and cleanup.

    Safety/Equipment

    OMAX Waterjet

    The lab's CAD-to-cut sequence: prepare the path, verify material settings, follow the setup prompts and dry-run before cutting.

    Waterjet: Category 2 in the Metals lab

    Waterjet: Category 2 in the Metals lab

    The waterjet cuts a programmed shape with water and abrasive. See Laser, Waterjet and Plasma Cutting for how abrasive waterjet cutting works.

    Category 2 in the Metals lab. Follow Equipment Categories and Supervision for permission and supervision, and complete Equipment Operating Procedure and Personal Protective Equipment.

    Keep hands away from the cutting nozzle and clear of its travel. The jet cuts material, and the moving head can trap a hand. See Machine Hazards and Housekeeping for movement, guards and stopping. OMAX safety information is further reading for the installed-machine training.

    Prepare the file and toolpath: lab steps 1–10

    Prepare the file and toolpath: lab steps 1–10

    This is our lab's OMAX operating sequence. Follow it with the machine-specific instruction you received at checkout.

    1. Export the CAD file to DXF or DWG, as for a laser-cut part.
    2. Turn on the OMAX machine.
    3. Turn on the water: the top water line under the sink.
    4. Open ProtoMAX Layout software.
    5. Click File → “Open file for other CAD software.”
    6. Use the move, rotate and duplicate tools to lay out the parts. One square is equal to one inch.
    7. Click Autopath to create toolpaths. Check that the path cuts on the correct side of each line and cuts inside items before outside items, so the part is not cut loose before its interior features are cut.
    8. Click Post.
    9. Select the starting position, normally the bottom left.
    10. Save the post. It saves as an .omax file.
    Verify settings, follow the prompts and dry-run: lab steps 11–15

    Verify settings, follow the prompts and dry-run: lab steps 11–15

    1. Right-click on Post and open the .omax file in ProtoMAX Make.
    2. When Make asks for cutting parameters, select the appropriate material and enter its thickness. The lab procedure says to oversize the thickness “by just a bit”; confirm that allowance with the instructor.
    3. If the machine was just turned on, Make shows a red homing button at the top of the screen. Make sure nothing obstructs the nozzle's movement before clicking it to home the machine.
    4. Follow all the on-screen steps. These include, but are not limited to:
      1. Attaching the abrasive hose.
      2. Testing the nozzle for abrasive flow.
      3. Placing and securing the material.
      4. Homing the nozzle to the starting position on the material.
      5. Adjusting the water height if necessary.
      6. Dry-running the program.
      7. Flipping down the splash guard.
    5. Run the program.

    In step 14, “homing” to the material means the job's starting position; it is distinct from the machine-homing step in step 13. Have both positions demonstrated during checkout.

    A dropped part or a fault needs a safe stop, not a reach into the tank

    A dropped part or a fault needs a safe stop, not a reach into the tank

    Do not reach into the cutting area to retrieve a part while the machine is operating. If the material moves or the cut behaves unexpectedly, keep clear and use the stopping procedure demonstrated during checkout. Notify the instructor; follow Lab Conduct and Emergencies for an emergency.

    The lab sequence above ends at running the program. Have the instructor demonstrate shutdown and safe part recovery before using the machine; a part falling into the tank is not a recovery procedure. Use Equipment Operating Procedure for the general shutdown and reporting requirements.

    Machining/Production and Nontraditional Processes

    Material-Removal Process Families

    Sort machine tools by how they remove material, then follow the process that fits the feature.

    Start with what removes the material

    Start with what removes the material

    A machine tool controls motion between a tool and the workpiece, the part being made. In material removal, the final shape is what remains after unwanted material is taken away.

    Material removal branches into chip-forming tools, abrasive grains, and nontraditional energy sources.

    This is a teaching map of removal mechanisms. Abrasives also make small chips; the branches distinguish the kind of tool or energy doing the work.

    CNC is a control method, not a removal family. Computer numerical control can guide a mill, lathe, grinder, EDM machine or cutting jet. See G-code and Toolpaths. Forming moves material without removing it; see Manufacturing Process Categories for the wider manufacturing map.

    Conventional cutting uses defined cutting edges

    Conventional cutting uses defined cutting edges

    • Turning rotates the work past a cutting tool; milling rotates the cutter and feeds it relative to the work.
    • Drilling makes holes; sawing separates stock, the starting material, with successive teeth.
    • Broaching uses a sequence of teeth to progressively cut a profile, such as a keyway. Dedicated tooling often suits repeated production, but broaching is not limited to large runs.
    • Shaping and planing use a back-and-forth straight cutting stroke. A shaper normally moves the tool; a planer normally moves the work.

    A process name describes the action, not every possible shape. Milling can make curved contours as well as flat faces.

    Abrasive processes use many small cutting grains

    Abrasive processes use many small cutting grains

    Grinding wheels hold abrasive grains that remove material. Precision grinding controls size and surface texture, often on hardened parts. Grinding can also remove substantial stock; it is not restricted to light finishing.

    Honing commonly uses abrasive stones with combined motions to refine a bore's size, form and surface. Lapping uses fine abrasive between a lap and the work to refine a surface. Neither is simply another name for grinding.

    Nontraditional processes change the removal mechanism

    Nontraditional processes change the removal mechanism

    • Thermal: EDM, laser and plasma remove material with concentrated heat. EDM's energy supply is electrical, but its removal mechanism is thermal.
    • Electrochemical: ECM uses electric current to dissolve metal.
    • Chemical: Chemical Milling and Etching uses an etchant to dissolve exposed material.
    • Mechanical energy: waterjets and Ultrasonic Machining erode material with moving water or abrasive particles.

    Use Selecting a Material-Removal Process to narrow the candidates. Safety references: Machine Hazards and Housekeeping, Equipment Operating Procedure and Chemicals and Safety Data Sheets.

    Machining/Measurement and Fit

    Choosing Shop Measuring Tools

    Match the tool to the feature, the allowed size range, and the measurement you need to trust.

    Choose from the tolerance and the shape of the feature

    Choose from the tolerance and the shape of the feature

    Start with what must be measured: an outside size, an opening, a depth, a height, or a small change from a reference.

    As a rule of thumb, choose a tool that reads about ten times finer than the total tolerance. This is a starting point, not a standard or a guarantee that the measurement is good enough. Check its specified accuracy, condition, measuring range, and the way its contacts reach the part.

    For a size of 0.625 ± 0.001 in, the total tolerance is 0.002 in. A starting resolution target is 0.002 / 10 = 0.0002 in. An outside micrometer reading 0.0001 in is a candidate for an accessible outside diameter. A 0.001 in caliper is too coarse for that rule of thumb.

    See Tolerances and Fits for the allowed size range, Reading Measuring Scales for the numbers, and Reliable Shop Measurement for the technique.

    Resolution is the increment; accuracy is agreement with a reference

    Resolution is the increment; accuracy is agreement with a reference

    Resolution
    The smallest indicated change or scale increment. A display that changes by 0.0005 in has that resolution; its last digit is not an accuracy certificate.
    Accuracy
    How closely a measurement agrees with the reference value. Use the instrument's error specification and checks against suitable standards to judge its capability.
    Precision
    How closely repeated measurements agree under stated conditions. A dirty measuring face can give repeatable readings that are all wrong.

    Extra digits cannot remove jaw wear, a tilted contact, dirt, or heat. Record the instrument and units along with the result when the measurement matters.

    Use a steel rule for layout and quick size checks

    Use a steel rule for layout and quick size checks

    A steel rule is useful for stock lengths, approximate sizes, and setting a divider. Read the graduation pattern on the edge you are using: fractional edges may divide an inch into 8, 16, 32, or 64 parts; decimal edges may use 0.1, 0.05, 0.02, or 0.01 in increments. A decimal rule does not ordinarily have 0.001 in graduations.

    Place the rule along the distance being measured and look straight at the marks. A damaged end is a poor zero. If you start at the 1 in line instead, subtract 1 in from the far-end reading. Do not use a rule to accept a feature with a tight size tolerance.

    Calipers cover outside, inside, depth, and step measurements

    Calipers cover outside, inside, depth, and step measurements

    Dial, digital, and vernier calipers use a sliding jaw. The larger jaws measure outside sizes; the smaller jaws measure openings. A depth rod reaches down from the end of the beam. On tools with step faces, the back shoulders measure a step.

    The readout changes how you read the tool, not how carefully you must position it.
    ReadoutUse and readingWatch for
    DialQuick mechanical reading: beam scale plus dial remainder.Check the marked value per revolution. Dirt in the rack can disturb the reading.
    DigitalDirect numerical display; often offers inch/mm and relative zero.Confirm units and zero mode. Resolution varies by model; a common display increment is 0.0005 in / 0.01 mm.
    VernierMain scale plus the aligned vernier division; no battery or dial mechanism.Read the correct scale and its least count. Inch 0.001 in tools can use different main-scale spacings.

    Use light contact and keep the jaws square. Measure near the beam where access allows. Long jaws can flex; small inside jaws may not reach the true diameter of a small hole. A caliper's versatility does not make it the best tool for every tolerance.

    Micrometers specialize in outside sizes, inside sizes, or depths

    Micrometers specialize in outside sizes, inside sizes, or depths

    An outside micrometer measures between a fixed anvil and a moving spindle. Choose a range that contains the dimension: a 1–2 in instrument does not start from zero like a 0–1 in instrument. A conventional inch scale reads 0.001 in; a sleeve vernier can add 0.0001 in readings. A conventional metric scale reads 0.01 mm. Digital models differ.

    Outside micrometer with the frame, fixed anvil, moving spindle, sleeve, thimble, lock, and force-limiting ratchet labeled. The gap between the faces is the measured size.
    The sleeve supplies the coarse reading; turning the thimble moves the spindle. The ratchet or friction device helps control contact force.

    An inside micrometer spans an opening using internal contacts. Rod and two-point types require careful alignment; three-point types have a different contact arrangement. Check the reference and any extension length for the actual tool.

    A depth micrometer rests its flat base on the reference face and extends a rod to the lower surface. Keep the base seated. Check the installed rod's range and the scale direction: many depth scales run opposite to an outside micrometer. Do not add a rod length without checking how that instrument is marked.

    Indicators show change from a reference

    Indicators show change from a reference

    A dial indicator commonly has a plunger moving along its axis. A test indicator has a pivoting lever stylus and usually a shorter measuring range. Both are useful for alignment, comparing heights, and observing runout as a part turns.

    Read the marked graduation and count revolutions where needed. Zeroing the bezel sets a reference; it does not turn the indicator into an absolute diameter tool. Total indicator reading, or TIR, is the maximum indication minus the minimum during a sweep. From −0.001 to +0.002 in, TIR is 0.003 in.

    Use a rigid stand. A magnetic base needs a suitable magnetic support; it will not attach magnetically to granite. For plunger indicators, align motion with the plunger. For lever test indicators, follow the maker's stylus-angle instructions; the lever is normally close to parallel with the surface. These are different geometries.

    Supporting detail: Addendum 15 — What a sweep can and cannot establish.

    Gauge blocks supply a reference; transfer gauges carry a size; Practice

    Gauge blocks supply a reference; transfer gauges carry a size

    Gauge blocks have accurately finished opposing faces and a known length. Use suitable blocks to set a height, compare a measurement, or check an instrument. Clean and inspect the faces before wringing blocks together; follow their care instructions. A zero check alone is not a full calibration.

    Build stacks from sizes actually present in the set. For example, 1.0000 + 0.1340 + 0.1005 = 1.2345 in uses three blocks if those sizes are available. Do not assume a set contains separate 0.0040 or 0.0005 in blocks.

    A telescoping gauge transfers a bore size to an outside micrometer. With light locking friction, set the contacts slightly across the bore at an angle and sweep gently through the diameter; withdraw without changing the setting, then measure across the contacts. Follow the tool's instructions for locking and repeat until the technique is consistent.

    A small-hole gauge expands rounded contacts inside a smaller opening. Adjust for light drag, withdraw as its design permits, and measure across the contacts with a micrometer. Neither transfer tool has its own numerical readout. Take readings at several depths and directions; keep them separate to reveal taper or out-of-roundness rather than averaging the shape away.

    Practice choosing a tool

    Supporting detail: Addendum 16 — Instrument references.

    Machining/Measurement and Fit

    Reading Measuring Scales

    Read rules, micrometers, calipers, and verniers by separating the coarse scale from the remainder.

    Read the unit and the graduation before the number

    Read the unit and the graduation before the number

    The same-looking line can mean 0.025 in, 0.5 mm, or something else. Identify the instrument and its scale before adding anything.

    On a fractional rule, count spaces from the last whole inch using that edge's denominator. Seven 1/16 in spaces beyond 2 in gives 2 + 7/16 = 2.4375 in. That exact fraction-to-decimal conversion does not make the rule accurate to four decimal places.

    On a decimal rule with 0.01 in spaces, eight spaces beyond 1.20 in gives 1.28 in. On a digital caliper, read the displayed unit and confirm whether the tool shows an absolute size or a deviation from a stored zero.

    In inch shop speech, a thou is 0.001 in and a tenth often means 0.0001 in, one tenth of a thousandth. Write units and decimals to avoid confusing a shop tenth with 0.1 in.

    An inch micrometer adds sleeve plus thimble

    An inch micrometer adds sleeve plus thimble

    For the conventional 0.001 in micrometer, one turn advances the spindle 0.025 in. The sleeve has a line every 0.025 in; each fourth line marks another 0.100 in. The thimble divides one turn into 25 spaces of 0.001 in.

    1. Read the last sleeve line reached by the thimble edge. Count the 0.100 in intervals and the extra 0.025 in lines.
    2. Read the thimble line at the sleeve's horizontal datum line.
    3. Add the two. Include the range offset for a larger micrometer according to its markings.

    Example: sleeve 0.300 in plus two 0.025 in lines, with thimble 18 at the datum:

    0.300 + 0.050 + 0.018 = 0.368 in

    Watch the rollover. Sleeve 0.375 and thimble 24 gives 0.399 in. The next 0.001 in step gives sleeve 0.400 and thimble 0: 0.400 in. Do not add the old 0.025 in interval again.

    A vernier micrometer adds the fourth decimal place

    A vernier micrometer adds the fourth decimal place

    The sleeve vernier divides a thimble space into ten parts. Read the sleeve and the whole 0.001 in thimble amount first, using the thimble graduation just passed when the datum falls between lines. Then find the sleeve vernier line that aligns with a thimble line.

    Example: the last sleeve line is 0.450 in, the datum is between thimble 12 and 13, and sleeve vernier line 7 aligns:

    0.4500 + 0.0120 + 7 × 0.0001 = 0.4627 in

    The matching vernier line adds 0.0007 in, not 0.007 in. Do not round the thimble to 13 and then add the vernier. If the zero line aligns, add zero; the end line represents the same alignment at the next interval.

    A metric micrometer includes the exposed half millimeter

    A metric micrometer includes the exposed half millimeter

    On a conventional 0.01 mm micrometer, one turn moves the spindle 0.5 mm. The sleeve shows whole millimeters and half-millimeter marks; 50 thimble spaces divide the turn into 0.01 mm increments.

    If 8 mm and the following 0.5 mm mark are exposed, and thimble 23 aligns, the reading is 8 + 0.5 + 0.23 = 8.73 mm. If that half-millimeter mark is still covered, the same thimble position gives 8.23 mm.

    At the rollover, 8.49 mm is sleeve 8.0 plus thimble 49; 8.50 mm is sleeve 8.5 plus thimble 0. Use the marked unit; these increments are not the inch micrometer's increments converted by eye.

    A 0.001 in vernier caliper adds the aligned division

    A 0.001 in vernier caliper adds the aligned division

    For the 25-division inch vernier used here, each main-scale space is 0.025 in. Twenty-five vernier spaces occupy the length of 24 main-scale spaces, so each vernier space is 0.024 in. Their 0.001 in difference makes the fine reading possible.

    Two original scale diagrams compare aligned zeros with a vernier shifted 0.003 inch. Main spaces are 0.025 inch and vernier spaces are 0.024 inch; after the shift the third vernier line aligns.
    The shortened diagram shows the first few lines of a 25-division scale. The mismatch accumulates by 0.001 in per division.
    1. Read the last main-scale line at or before the vernier zero.
    2. Find the vernier division that lines up with a main-scale line.
    3. Add its division number × 0.001 in.

    Vernier zero just beyond 1.325 in, with division 17 aligned, gives 1.325 + 0.017 = 1.342 in. It is the vernier zero, not the right end of the slider, that locates the coarse reading.

    Supporting detail: Addendum 17 — Other 0.001 in verniers can have different spacing.

    A dial caliper adds the beam reading and the dial remainder

    A dial caliper adds the beam reading and the dial remainder

    On an inch dial caliper marked 0.100 in per revolution, the dial's 100 divisions each represent 0.001 in. Read whole inches and completed 0.100 in intervals on the beam, then add the dial reading.

    Beam 1.200 in and dial 47 gives 1.200 + 0.047 = 1.247 in. Beam 1.200 plus dial 99 is 1.299 in. At the next thousandth the beam reaches 1.300 and the dial returns to zero.

    Some dial calipers use a different travel per revolution. Check the dial markings rather than assuming this example applies. Clean the jaws, close gently, check zero, and confirm the reading again after measuring.

    Practice reading a new micrometer or vernier scale; Interactive; Practice

    Practice reading a new micrometer or vernier scale

    The trainer draws ideal scales with zero error. It teaches reading, not instrument accuracy. Micrometer examples stay within 0–1 in; caliper examples stay below 2 in. Enter the exact indicated reading in inches.

    Read these scale positions before uncovering the answers. These examples also serve as the print version of the trainer.

    1. Inch micrometer: sleeve 0.275 in, thimble 24 at the datum.
    2. Vernier micrometer: sleeve 0.275 in, datum between thimble 24 and 0, vernier line 9 aligned.
    3. 25-division vernier caliper: zero past main line 1.150 in, division 8 aligned.
    Readings as sums

    1. 0.275 + 0.024 = 0.299 in.
    2. 0.2750 + 0.0240 + 0.0009 = 0.2999 in.
    3. 1.150 + 0.008 = 1.158 in.

    Add a micrometer reading to practice Add a vernier reading to practice

    Supporting detail: Addendum 18 — Reading references.

    Machining/Measurement and Fit

    Reliable Shop Measurement

    Control zero, contact force, alignment, cleanliness, and temperature before trusting the last digit.

    Clean, check, measure, and check again; Checklist

    Clean, check, measure, and check again

    A good reading starts before the scale is read. Use this sequence with the instrument's own instructions.

    • Identify the feature, its limits, and its reference surfaces. Choose a suitable measuring tool.
    • Clean the contact faces and the part. Look for chips, dirt, raised burrs, and damage that would hold the contacts apart.
    • Let the part and instrument settle to the measuring environment. Avoid a freshly cut hot part or a tool warmed by long handling.
    • Check zero or the correct setting reference. Close a 0–1 in outside micrometer gently; use the appropriate setting standard for larger ranges or inside tools.
    • For a critical size, check a suitable known reference near the working size as well. Confirm the instrument is within its required calibration status.
    • Measure with the intended contact force and alignment. Release and repeat to check that you can reproduce the reading.
    • Record the result with units, location, and enough method information to repeat it. Check zero again afterward; investigate any change.

    Zero adjustment removes an offset at one position. It cannot repair worn jaws, a damaged screw, or an error that changes along the range. If a tool fails its checks, have it evaluated rather than hiding the error with a new zero.

    Use consistent light contact instead of squeezing out a number

    Use consistent light contact instead of squeezing out a number

    With a micrometer, bring the faces close, then use the ratchet or friction thimble as its maker directs. These devices help repeat the measuring force. They do not make dirt, tilt, or a flexible part disappear.

    Use a smooth, slow approach. The required clicks or turns depend on the mechanism; a friction thimble may slip without clicking. Do not force the main thimble after the force-limiting device operates. The spindle lock holds a setting; it is not a clamp for tightening the measurement.

    With a caliper or transfer gauge, feel means consistent light contact or drag, not a hard squeeze. Too much force bends jaws and compresses thin parts. Repeated readings should agree because the setup is repeatable, not because the tool has been forced to the expected number.

    Keep contacts square and look straight at the scale

    Keep contacts square and look straight at the scale

    A tilted instrument can span a diagonal rather than the intended distance. For an outside diameter, keep the measuring direction perpendicular to the cylinder's axis. For a two-point inside measurement, the contacts must pass through the bore center in the cross-section while staying square along its length. A single instruction to “always find the largest” or “always find the smallest” does not cover both alignment directions.

    Parallax is a reading error from looking at separated scales at an angle: the marks appear to shift against each other. Put your eye square to the reading line. Good lighting helps distinguish a line from a reflection.

    For an indicator, keep its intended motion and contact geometry aligned. Preload enough to maintain contact throughout the expected movement, while staying within its usable travel. Do not apply a universal number of needle turns to both plunger and lever instruments.

    Abbe error grows when tilt acts through an offset

    Abbe error grows when tilt acts through an offset

    The scale on a caliper runs along the beam, while the part often touches farther down the jaws. If the moving jaw tilts a little, its tip moves more than the scale location does. The scale misses that extra motion. This is Abbe error.

    Picture a door: a small rotation moves the handle much farther than a point near the hinge. Greater distance between the measurement line and the scale line gives tilt more room to create error.

    Keep the part near the beam when access permits, use light contact, and avoid loose or worn sliders. An ordinary outside micrometer puts its measurement and screw axes in line, reducing this particular source of error. Alignment still matters.

    Supporting detail: Addendum 19 — The offset-and-angle relationship.

    Temperature and surface condition can move the result; Practice

    Temperature and surface condition can move the result

    Parts and instruments change size with temperature. Let them approach the same stable measuring conditions; follow the reference temperature and corrections required by the inspection procedure. Avoid direct sun, drafts, and prolonged hand contact with precision tools.

    Clean contact faces matter because the instrument measures what touches them. A chip can enlarge an apparent outside size; a raised edge can hold a depth-micrometer base above its reference. Surface peaks can affect contact too. See Surface Texture and Finish for surface condition rather than treating every last-digit change as a size change.

    Measure at several positions when taper or out-of-roundness matters. Keep the individual values. An average can hide an oversize region and does not prove the whole feature meets its limits.

    In this invented classroom example, each value is a local diameter reading in a 20 mm-deep bore. Near, middle, and far name axial stations 2, 10, and 18 mm from the entry face. X and Y are two marked perpendicular diametral directions at each station.

    Invented classroom local-diameter readings; treat the stated values as exact
    Axial station from entry faceDiametral directionLocal diameter (mm)
    Near — 2 mmX20.000
    Near — 2 mmY20.002
    Middle — 10 mmX20.001
    Middle — 10 mmY20.003
    Far — 18 mmX20.004
    Far — 18 mmY20.026

    For stated limits of 19.980 to 20.020 mm, the six-reading mean is 120.036 / 6 = 20.006 mm, inside the limits. The far-depth Y reading is 20.026 mm, above the stated upper limit. Keep that location with the value: the in-limit average does not make the sampled high reading disappear. These six local readings do not establish the size or form of the unsampled bore.

    Practice interpreting bore readings

    For the operating rules around machines, use Equipment Operating Procedure and Machine Hazards and Housekeeping. For the numerical limits themselves, use Tolerances and Fits.

    Machining/Measurement and Fit

    Shop Layout and Angle Measurement

    Carry dimensions from a reference onto the work with clear lines, checked centers, and correctly read angles.

    Start layout from a reference you can return to

    Start layout from a reference you can return to

    Layout places lines, arcs, and points on a part to guide cutting or locate features. A neat line is useful only when it is in the right place.

    Identify the reference surfaces from which dimensions are taken. Keep using those references rather than measuring each new line from the last one. A layout mark guides the work; it does not prove the finished part is within tolerance.

    A surface plate supplies a reference plane for layout and inspection. Clean the plate, the part's supporting face, and the tool base. Support the part so it cannot rock. Use an appropriate angle plate or V-block when the shape needs support.

    Protect the plate from impact and abrasive work. Its flatness depends on its size, grade, condition, and calibration; “a surface plate” does not imply one universal accuracy. Follow its specified support arrangement. Level and flat are different: leveling a plate does not repair a worn surface.

    Dye makes a fine scribed line easier to see

    Dye makes a fine scribed line easier to see

    Layout dye adds contrast. Prepare the surface, apply a thin coating as directed, and let it dry before marking. Use Chemicals and Safety Data Sheets for chemical handling guidance.

    A scriber scratches a narrow line through the coating. Hold the guide firmly and draw the point along it with light, consistent pressure. Repeated passes can make a wide, ambiguous mark. Scribe only where the drawing and process allow a permanent scratch.

    A surface gage carries an adjustable scriber at a fixed height above its base. Set it from a separate height reference, then move the base along the plate to scribe a line parallel to that plane. A surface gage ordinarily has no direct height scale.

    A height gage adds a scale or readout. Set its reference correctly, seat the base flat, set and lock the height as intended, and make the line. With a suitable probe it can compare or measure heights. It is not simply another name for a depth gage.

    Supporting detail: Addendum 20 — Finding the middle of two heights.

    Dividers and trammels carry a distance into an arc

    Dividers and trammels carry a distance into an arc

    Dividers have two pointed legs. Set their spacing from a suitable scale, hold one point at the center, and swing the other to mark a circle or arc. They can also transfer or step off equal distances.

    Trammels put adjustable points on a beam for radii too large for ordinary dividers. Lock the points after setting, support the beam, and check the spacing again before marking.

    The point spacing is the radius, not the diameter. For a 3.00 in diameter circle, set 1.50 in between points. Recheck transferred dimensions against the original reference; repeated stepping can accumulate error.

    Prick-punch the location; center-punch after checking it

    Prick-punch the location; center-punch after checking it

    A prick punch has a sharper point for a small, precise location mark at intersecting layout lines. A center punch makes a wider depression to help start a drilling operation. Point angles vary by tool; the important distinction here is the fine locating mark versus the wider starting mark.

    Locate the point carefully, bring the punch upright, and make a light mark. Check the location before enlarging it. A heavy first mark is difficult to correct. Support the work on a suitable punching support, away from the precision surface plate.

    A punch mark is not a substitute for the machine setup or spotting method needed to locate a hole accurately. Check the finished feature with a suitable measuring method. Use Personal Protective Equipment and Equipment Operating Procedure for the applicable shop rules.

    Supporting detail: Addendum 21 — Punch types and their uses.

    A combination set uses one blade with three different heads

    A combination set uses one blade with three different heads

    Square head
    Provides 90° and 45° reference faces. With the blade it can lay out right angles, check squareness, or establish an offset or depth. Seat the reference face fully before reading or scribing.
    Center head
    Its two faces seat on round stock, positioning the blade along a diameter. Scribe one line, rotate the work or head, and scribe another; their intersection locates the center on the end face.
    Protractor head
    Sets the blade to an angle on a graduated head. Read the scale in the correct direction, lock the setting, and recheck contact with the reference.

    Clean the mating faces and blade groove so the head seats properly. Pick the tool's accuracy for the task: a combination set is useful for layout, but it does not automatically replace a precision square or a finer angle instrument.

    A universal bevel transfers an angle; a vernier protractor reads it; Practice

    A universal bevel transfers an angle; a vernier protractor reads it

    A universal bevel has an adjustable blade and stock that can fit against two surfaces. Lock it to transfer or compare an angle. A plain bevel has no numerical scale; obtain the angle from a separate reference.

    A vernier bevel protractor combines the adjustable blade with degree and vernier scales. On a 5-minute instrument, each matching vernier division adds 5 arcminutes. 60 minutes = 1 degree, so 5 minutes is 1/12 degree. This is the reading increment, not a universal accuracy claim.

    1. Seat the stock and blade against the intended surfaces. Identify the angle being measured.
    2. Read the whole degrees between the main zero and the vernier zero.
    3. Use the vernier on the same side and in the same reading direction as those degrees. Find the matching division.
    4. Add the matching division number × 5 minutes to the whole degrees.

    Example: 32 whole degrees and the seventh matching vernier division give 32° + 7 × 5′ = 32°35′. That is 32 + 35/60 = 32.5833…°, not 32.35°.

    Check the contact geometry before reporting an obtuse angle. If the instrument has measured the acute supplement, a reading of 32°35′ corresponds to 180° − 32°35′ = 147°25′ for the required obtuse angle. Do not automatically subtract every reading from 180°.

    Practice bevel-protractor readings

    Supporting detail: Addendum 22 — Why the 5-minute vernier works.

    Check the layout before making a permanent cut; Checklist

    Check the layout before making a permanent cut

    • Confirm the reference surfaces and dimension directions.
    • Check each line or center from the intended reference, including radius versus diameter.
    • Verify the height or angle after locking the tool.
    • Check the mark before punching more deeply or beginning the cut.
    • Plan how to measure the finished feature; use Choosing Shop Measuring Tools and Tolerances and Fits.

    Drawing views and dimensioning conventions belong in the Engineering Graphics collection. Layout follows those requirements; it does not redefine them.

    Machining/Cutting Fluids

    Cutting Fluids and Application Methods

    Cutting fluids cool, lubricate, carry chips away and protect surfaces; match the fluid and its delivery to the tool, material and operation.

    Cool the cut, reduce friction and carry chips away

    Cool the cut, reduce friction and carry chips away

    Coolant does more than cool. A cutting fluid removes heat from the cutting zone, lubricates contact between the tool, chip and workpiece, flushes loose chips away, and helps protect the machine and work against corrosion.

    Lubrication can reduce material sticking to the cutting edge, called built-up edge. Together with cooling and chip removal, that can improve surface finish and dimensional control. Fluid cannot make up for a dull tool, poor workholding or unsuitable feeds and speeds.

    The fluid must reach the cutting zone to do its job. A full tank with a blocked filter or a nozzle aimed away from the cut is not effective delivery.

    Choose a fluid family for the operation

    Choose a fluid family for the operation

    Use a product approved for the machine, work material and tooling. These are general tendencies, not a product selection chart for a particular shop. Check compatibility with seals, coatings and the metals being cut.

    FamilyStrength and typical useTradeoff
    Straight oil (neat oil)Used without water dilution. Strong lubrication suits operations where sliding contact dominates, such as some tapping, broaching and slow cutting.Less cooling than water-based fluids; oil mist, smoke and fire risk depend on the product and process. Not suitable for every machine.
    Soluble oil (emulsion)Concentrate disperses oil droplets in water. Combines lubrication with water's cooling for many general machining operations.Needs concentration and contamination control. Water quality affects stability; residue and foam can develop.
    Semi-syntheticA water-diluted formulation with less mineral oil than a conventional soluble oil. Often balances cooling, lubrication and cleanliness in general machining.Still needs water-quality and sump maintenance. Foam, residue and compatibility depend on the formulation.
    SyntheticA water-diluted formulation without mineral oil. Cooling and visibility can suit grinding and suitable machining operations.Lubrication depends on its additives; do not assume all synthetics suit heavy cutting. Concentration, corrosion protection and contamination still need attention.

    Concentrate and working fluid are different. A supplier's oil-content figure for the concentrate is not the percentage to put in the tank. The working concentration comes from that product's technical data sheet.

    Supporting detail: Addendum 23 — Why the family name does not settle performance.

    Run dry, mist or flood according to the cutting setup

    Run dry, mist or flood according to the cutting setup

    • Dry: use when the tool supplier's guidance for that material and operation calls for it. Some carbide milling benefits from avoiding repeated heating and sudden cooling of the edge. Dry does not mean chips or dust need no control.
    • Mist or minimum-quantity lubrication: a designed system meters a small amount of fluid toward the cut when lubrication and access matter more than bulk cooling. It does not provide flood-level heat removal or washing. Use the specified enclosure and mist control.
    • Flood: a continuous flow can remove heat and wash chips from the cut when the setup calls for wet machining. Supply enough flow to reach the edge consistently; a weak, intermittent splash is not the same thing.

    Oil mist is liquid droplets carried by air, not a residue-free gas. Neither “all carbide runs dry” nor “more coolant is always better” is a useful rule. Follow the tool and machine guidance for the actual cut.

    Supporting detail: Addendum 24 — Why some milling runs dry while other milling needs fluid.

    Use Personal Protective Equipment and Metal Chips and Swarf for exposure and chip-handling rules. Continue with Coolant Concentration and Mixing and Coolant Condition and Tank Maintenance.

    Machining/Cutting Fluids

    Coolant Concentration and Mixing

    Read Brix, apply the product factor, and balance concentrate and water when mixing a fresh charge or correcting a partly full tank.

    Zero the refractometer, then multiply Brix by the product factor

    Zero the refractometer, then multiply Brix by the product factor

    A refractometer measures how a sample bends light. On an analog Brix instrument, read where the light and dark areas meet. Brix is a scale reading; it is not automatically coolant percent.

    1. Find the product's refractometer factor and working concentration range in its technical data sheet. Use the specified method for that product.
    2. Clean the prism. Calibrate to zero with water, using the water and temperature procedure specified for the instrument and fluid. Fluid suppliers commonly specify the water used for mixing.
    3. Remove the calibration water. Apply a representative, well-mixed coolant sample, close the cover and read the light/dark boundary. Avoid sampling a floating oil layer.
    4. Calculate concentration (%) = Brix reading × product factor. Record the result and compare it with the product's range for the operation.
    5. Clean the prism after use. Recheck a doubtful reading; contamination can blur the boundary or bias the result. Use the supplier's alternative test if the sample cannot be read reliably.

    Illustrative Brix scale from 0 to 6 in 0.2 divisions. The dark upper field meets the light lower field at 3.2 Brix.

    Read the boundary: 3.2 Brix. With an invented teaching factor of 1.5, concentration is 3.2 × 1.5 = 4.8%. That factor is not a shop recommendation.

    There is no universal factor or target range. The SDS explains hazards and handling; the product's technical data sheet supplies the mixing and measurement information. See Chemicals and Safety Data Sheets.

    Supporting detail: Addendum 25 — Measurement references.

    Add concentrate to water, and state what the ratio means

    Add concentrate to water, and state what the ratio means

    Water first; add concentrate while mixing. Follow the product's mixing instructions in a clean container or approved mixing system. For emulsions, this lets the emulsifier disperse oil into the water. Adding water to a body of concentrate can form an unstable or inverted mixture that does not disperse properly.

    Write the order of a ratio. 24 parts water to 1 part concentrate contains 25 total parts, so its concentrate percentage is 100 × 1 ÷ (24 + 1) = 4.00%. It is not 100 ÷ 24. For water:concentrate = W:1, use C = 100 ÷ (W + 1).

    To make 12 L of that 4.00% premix, measure 0.48 L concentrate and 11.52 L water. Put the water in first. This is a volume-based teaching example with additive volumes, not a product recommendation.

    Supporting detail: Addendum 26 — Why mixing order matters.

    A falling level does not tell you how strong the coolant is

    A falling level does not tell you how strong the coolant is

    Measure both level and concentration before topping up. Evaporation mainly removes water, raising concentration. Coolant carried out on parts and chips removes both water and concentrate. Adding plain water lowers concentration.

    A tank below the target is lean; one above it is rich. Compare with the actual permitted range before deciding it needs adjustment. A tank can be low in volume and rich in concentrate at the same time.

    Top up fluid that is still serviceable. Persistent odor, separation, sludge or contamination calls for the evaluation and cleaning decisions in Coolant Condition and Tank Maintenance. New premix does not make spoiled fluid sound.

    Calculate the premix needed to reach both target level and concentration; Interactive

    Calculate the premix needed to reach both target level and concentration

    Use the same volume unit throughout. Let V be the current tank volume, C its measured concentration, F the intended final volume, and T the target concentration. Concentrations below are entered as percent numbers, such as 6 for 6%.

    Premix volume A = F − V

    Premix concentration P = (F × T − V × C) ÷ A

    Concentrate to measure = A × P ÷ 100.
    Water to measure = A − concentrate volume.

    Example: a hypothetical tank has 36 L at 4.0%. Bring it to 48 L at an assumed target of 5.5%. Add A = 48 − 36 = 12 L. The premix must be (48 × 5.5 − 36 × 4.0) ÷ 12 = 10.0%: 1.2 L concentrate added to 10.8 L water.

    Check the balance: the tank contains 1.44 L concentrate, the addition supplies 1.20 L, and 2.64 ÷ 48 × 100 = 5.5%. These assumed values teach the calculation; the product must permit the proposed makeup mix.

    Stop when the result cannot be made. A must be positive. A negative P means even plain water cannot achieve the target at that final level; P above 100% asks for more concentrate than the addition can contain. A full tank has no top-up space. Seek an approved partial replacement or other correction instead of overfilling. Even a mathematical result between 0 and 100% may be outside the product's permitted mixing method.

    Mix the approved addition separately, add it, circulate as specified, then measure again. The calculation assumes accurate volumes, uniform mixing and no losses during the adjustment.

    20:1 is not 5%

    20:1 water : concentrate
    1 ÷ (20 + 1) × 100 = 4.76%

    5.00% concentrate
    5 parts concentrate in 100 total parts.
    95:5 = 19:1 water : concentrate.

    Brix needs the product factor

    6 Brix × an invented teaching factor of 1.0 = 6.00%. Use the actual product data sheet factor.

    Correct a lean sump: account for the added volume

    Teaching example: 100 L at 3%, target 5%, capacity 120 L. With x litres of neat concentrate, the balance is 3 × 100 + 100x = 5(100 + x).

    x = 100(5 − 3) ÷ (100 − 5) = 2.1053 L. Final volume = 102.1053 L, within capacity. Check: (3 + 2.105263…) ÷ 102.105263… × 100 = 5.00%.

    102.11 L · 5.00%Capacity 120.00 L

    This is a concentrate balance, not an instruction to pour neat concentrate into a sump. Use the product-approved makeup method described on this page.

    Predict what water replaces

    Start with 100 L at 5%. Losing 20 L of well-mixed coolant leaves 80 L at 5%. Replace it with water: 4 L concentrate ÷ 100 L = 4%. Replace it with 5% premix: (4 + 1) ÷ 100 × 100 = 5%.

    If instead only 20 L of water evaporates, all 5 L of concentrate remains: 5 ÷ 80 × 100 = 6.25%. Replacing that water restores 5%; adding 5% premix raises it to 6%. The loss mechanism matters.

    For coolant condition and contact guidance, see Coolant Condition and Tank Maintenance and Safety collection.

    Supporting detail: Addendum 27 — Derive the balance, or solve for an unknown addition volume.

    Practice the reading, the ratio and the top-up balance; Practice

    Practice the reading, the ratio and the top-up balance

    Use fresh hypothetical values to check the method. Every question states its rounding and assumptions; none supplies a shop concentration recommendation.

    Practice Brix conversion Practice lean or rich Practice top-up concentration Practice mixing ratios

    The practice catalog contains the full Coolant Concentration and Mixing bank.

    Machining/Cutting Fluids

    Coolant Condition and Tank Maintenance

    Recognize concentration drift and contamination, decide whether to top up or replace, and work through a general tank-cleaning sequence.

    Look for oil, odor, solids and foam—not just a low level

    Look for oil, odor, solids and foam—not just a low level

    The sump is the reservoir that collects coolant for reuse. It also collects material that does not belong in the cutting fluid.

    • Tramp oil: unwanted lubricant leaking into the coolant, such as hydraulic oil or oil from sliding machine surfaces. Skim the floating layer and investigate its source; it can interfere with fluid condition and concentration readings.
    • Bacteria and odor: water-mixed fluids can support microbial growth. New or persistent bad odor is a reason to investigate, not a test that identifies the organism. Lack of odor does not prove the fluid is healthy.
    • Concentration drift: evaporation tends to make the tank richer; repeated water additions can make it lean. Measure using Brix and the product factor.
    • Chips and fines: chips settle and fine particles collect as sludge. They occupy tank space and can obstruct screens, filters and flow paths.
    • Foam: check concentration, water quality, contamination and air entering the delivery system. Foam is not a reliable concentration measurement.
    • Skin irritation: an overly strong mix can irritate skin; an overly weak mix can lose protection against microbial growth. Irritation is a reason to report exposure and investigate, not to guess a dilution.

    Supporting detail: Addendum 28 — Why inspection and measurement belong together.

    Top up a serviceable tank; replace fluid that cannot be restored

    Top up a serviceable tank; replace fluid that cannot be restored

    Use a top-up when the existing coolant is fit for continued use and the problem is level or a correctable concentration. Choose the addition from the measured condition, not from the fresh-fill recipe. A rich tank may need a weaker makeup mix; a lean tank may need a stronger one.

    Arrange a cleanout and replacement when contamination, unstable mixing or persistent odor cannot be brought under control by the approved maintenance process, or when the machine/fluid maintenance instructions require it. Investigate leaks and other causes so the fresh charge does not immediately inherit the problem.

    Straining removes larger solids; it does not remove dissolved contamination or establish that drained fluid is reusable. Do not return rejected fluid just because it looks cleaner. Do not add household disinfectant or an unapproved chemical to mask odor.

    Use the machine and fluid suppliers' maintenance intervals and condition checks. There is no universal calendar changeout interval or guaranteed sump life.

    Clean the tank and its return path before refilling; Checklist

    Clean the tank and its return path before refilling

    Use this as a general sequence with the machine's approved maintenance procedure. Stop the machine and follow its isolation requirements before accessing the tank, pumps or chip-handling equipment. Only run pumps for a cleaning or circulation step when that procedure calls for it and the system is safely reassembled.

    Tank-cleaning flow: prepare and isolate; skim and drain through a strainer; remove chips and sludge; clean residue and return paths; remove cleaner and rinse as specified; refill, circulate and measure.

    Removing old fluid without removing deposits leaves contamination ready to enter the fresh charge.
    • Identify the fluid, approved cleaner and disposal route. Review Chemicals and Safety Data Sheets, Personal Protective Equipment and Metal Chips and Swarf before starting.
    • Stop and isolate the equipment as required by its maintenance procedure. Prepare suitable labeled receiving containers before opening or draining the system.
    • Skim accessible floating tramp oil. Drain or transfer coolant through a suitable strainer to catch larger chips, keeping the destination consistent with the reuse or waste decision.
    • Remove accumulated sludge and chips with the approved tools. Clean accessible screens, filters and return passages; inspect for blocked flow and leaks.
    • Clean dried coolant residue with a compatible cleaner diluted to its labeled instructions. Use the specified contact time and cleaning method; do not invent a stronger mixture.
    • Remove the spent cleaning solution. Rinse and drain as the machine, cleaner and fluid suppliers specify; capture those liquids for the approved waste route. Account for retained liquid before refilling.
    • Reinstall components and guards. Prepare fresh coolant by adding concentrate to water at the product's specified concentration, then fill to the machine's operating level.
    • Restore and circulate the system according to its procedure. Check flow and leaks, measure concentration after mixing, and record the fluid condition, result and service performed.

    For a public demonstration, watch Haas's Machine Tool Coolant: Cleaning Your Tank. Its examples distinguish a routine tank cleanout from cleaning an extensively contaminated coolant system. Haas's Machine Tool Coolant: Tools of Coolant is a companion resource.

    Supporting detail: Addendum 29 — Supplier instructions determine the cleaning treatment.

    Use the safety pages for contact, PPE and waste handling

    Use the safety pages for contact, PPE and waste handling

    Minimize skin contact with coolant and cleaning liquid. Use the SDS for the actual products and the PPE guidance for exposure control. Use Metal Chips and Swarf for removing and handling solids; this maintenance page does not replace those rules.

    Manage spent coolant, removed oil, sludge and cleaning liquid through the approved regulated-waste process. Do not pour them down a drain or onto the ground. The responsible waste handler must determine the applicable classification and disposal route from the fluid, contaminants and local requirements. “Water-based” or “biodegradable” is not disposal permission.

    Supporting detail: Addendum 30 — Why the waste route depends on what is in the tank.

    Machining/Sawing and Grinding

    Cutoff Sawing

    Choose a saw for the blank, hold the material securely, and leave enough material for the next operation.

    Saw a blank with room for finishing

    Saw a blank with room for finishing

    Sawing often turns a long bar or a large plate into a manageable blank: the starting piece for machining. Plan both the material left for finishing and the kerf, the slot removed by the saw. Kerf is material lost between pieces; it is not finishing allowance.

    Choose allowance from the required finished dimensions, cut quality, and later operations. A saw cut is not automatically a finished datum surface. Check dimensions and squareness before using it to locate the next cut. See Choosing Shop Measuring Tools and Shop Layout and Angle Measurement.

    Match the saw's motion to the cut

    Match the saw's motion to the cut

    SawHow it removes materialTypical use
    Power hacksawA straight blade moves back and forth, cutting on one stroke and relieving on the other. Cutting-stroke direction depends on the machine.Occasional straight cutoff work; the return stroke does no cutting.
    Horizontal bandsawA continuous toothed loop advances through material clamped in a vise.Bar, tube, and structural sections cut to length. Miter capability depends on the head or vise design.
    Vertical bandsawThe band passes through a table while the work is fed along a path.Straight cuts and curved outlines in plate; see Vertical Band Machining.
    Cold circular sawA toothed circular blade shears chips.Repeatable cutoffs where squareness and surface finish matter. Inspect for burrs even when the cut looks clean.
    Abrasive cutoff sawA thin abrasive wheel grinds through the section.Cutoff work suited to the wheel's material rating, including some hardened materials. Heat and cut quality can require further finishing.

    “Cold” distinguishes chip cutting from abrasive or friction cutting; it does not mean zero heat. Use Saw Blade Selection for toothed blades. An abrasive wheel has its own selection rules.

    Hold every piece, including pieces in a bundle; Checklist

    Hold every piece, including pieces in a bundle

    NEVER hand-hold material for a horizontal saw cut. Use the machine's vise or a suitable fixture. Support long material at the saw's working height so it does not tilt the clamped piece. Arrange support for the cutoff without trapping the blade as the cut closes.

    Nesting means arranging several pieces for one cut. Clamping the outside of a bundle does not prove that its inner pieces are held. Use a nesting arrangement and clamping system approved for the machine, and select the blade for the resulting section.

    • Identify the material, section shape, finished size, and finishing allowance.
    • Confirm that the vise or fixture grips each piece and that long stock is supported.
    • Account for the kerf when locating the cut or setting a length stop.
    • Plan how the cutoff will be supported as the blade breaks through.
    • After cutting, inspect the blank and remove the burr before the next setup.

    At break-through, the last connection between blank and stock disappears. Cutting resistance changes, and a thin lip of displaced metal may remain at the edge: a burr. See Bench Work with Hand Tools for deburring, and Machine Hazards and Housekeeping, Personal Protective Equipment, and Metal Chips and Swarf for hazards and precautions.

    Choose speed, feed, and coolant together

    Choose speed, feed, and coolant together

    Band speed is the distance the blade travels per minute, usually stated in feet/min or m/min. Feed is the rate or force that advances the blade into the work. They are different adjustments. Material grade and hardness, blade material, tooth geometry, and section shape all affect the starting settings.

    Use the blade maker's cutting chart for the actual material, then follow the machine manual for setting it. Follow the blade maker's break-in procedure for a new blade. There is no single speed table or fixed percentage adjustment that fits every saw. Connect these terms to Feeds and Speeds.

    On a saw designed to use cutting fluid, the fluid helps lubricate the cut, carry away heat, and clear chips. Use the approved fluid, concentration, and delivery method. Some abrasive cutoff systems are dry and others are wet; do not add coolant to a dry-only setup.

    Supporting detail: Addendum 31 — Why finer teeth do not fix every bad cut.

    Machining/Sawing and Grinding

    Saw Blade Selection

    Use section shape, teeth in the cut, tooth form, set, and blade material to narrow the choice before consulting the maker's chart.

    Pitch spaces the teeth; gullets carry the chips

    Pitch spaces the teeth; gullets carry the chips

    TPI means teeth per inch along the blade. A higher TPI is a finer pitch. For evenly spaced teeth, pitch in inches is 1 ÷ TPI. The gullet is the hollow between teeth that provides chip space. Set is the sideways displacement of teeth, making clearance for the blade body in the kerf.

    Side view shows pitch between adjacent tooth tips and the gullet between teeth; an edge view shows teeth set to either side of the blade body.
    Pitch is measured along the blade. Set is seen from a different direction. Shapes are schematic.
    Estimate teeth in the cut before choosing TPI; Interactive; Practice

    Estimate teeth in the cut before choosing TPI

    As a rule of thumb, aim to keep at least about three teeth engaged. For a uniform pitch crossing one continuous thickness of material:

    Estimated teeth engaged = contact length in inches × TPI
    Minimum TPI for three teeth = 3 ÷ contact length in inches

    Use thickness measured along the tooth line through solid material, not automatically the height of the part. For 0.25 in of continuous contact at 12 TPI, the estimate is 0.25 × 12 = 3 teeth. At the same thickness, the three-tooth calculation gives 3 ÷ 0.25 = 12 TPI.

    At the same 8 TPI, a 0.25 inch contact length spans about two teeth and a 0.75 inch contact length spans about six teeth.
    Same tooth spacing, different contact length. The thinner section needs a finer pitch to meet the three-tooth estimate.

    A calculated minimum is a screening value, not a blade specification. If it falls between available pitches, select a suitable finer option from the maker's chart rather than rounding down. Excessively fine teeth can run out of chip space in thick stock.

    Supporting detail: Addendum 32 — Why the answer can be a fraction of a tooth.

    Predict first: at mid-depth in the thin-wall tube below, would doubling TPI halve, double, or leave the estimated engagement unchanged? It doubles: the same contact length contains twice as many tooth spacings.

    Dashed line = about three teeth; shading = below three. Each plot uses its own vertical scale.

    Thin-wall tube, coarse blade

    Teeth · top of scale 4.000050.80Cut depth (mm)

    50.80 mm outside diameter; 1.00 mm wall; 6 TPI.

    At depth 25.40 mm: 0.47 teeth across 2.00 mm of material.
    Across the cut: minimum 0.00; maximum 3.33 teeth.

    Below the common rule of thumb of about three teeth.

    Contact tends to zero at entry and exit. At mid-depth only the two walls count. The peaks occur where the blade touches the inside circle.

    Thick solid bar, fine blade

    Teeth · top of scale 55.200025.40Cut depth (mm)

    50.80 mm contact thickness; 25.40 mm feed height; 24 TPI.

    At depth 12.70 mm: 48.00 teeth across 50.80 mm of material.
    Across the cut: minimum 48.00; maximum 48.00 teeth.

    At or above about three teeth here; this is not a blade approval.

    Gullets may fill with chips; check the blade maker's guidance.

    Estimated teeth = solid contact length ÷ tooth spacing; mm per tooth = 25.4 ÷ TPI. Readouts round to two decimal places; calculations keep the unrounded, real-valued estimate. Highlighted tooth tips illustrate one blade position, not a guaranteed integer count.

    Round-section minima include the exact entry and exit tangencies, where contact is zero. A flat bar has constant contact through its feed height, including the limiting faces. Rotate the flat bar 90° to swap contact thickness and feed height; rotating a round bar or round tube about its axis changes neither. This model is a straight tooth line crossing an ideal section, with uniform pitch and no blade tilt.

    The thick-bar, fine-blade preset highlights the full contact region as a reminder: gullets may fill with chips; check the blade maker's guidance. It sets no numeric upper limit. Tooth count alone cannot predict chip filling. For shop practice and hazards, see Cutoff Sawing and Safety collection.

    Practice teeth in the cut Practice minimum TPI

    A tube's outside diameter is not its solid thickness; Practice

    A tube's outside diameter is not its solid thickness

    A solid bar offers continuous material across the blade's path. A tube, angle, or channel presents walls and gaps, and the contact changes as the cut progresses. Select from a chart for tubes or structural sections, using wall thickness, overall dimensions, and orientation as that chart requires.

    Thin walls generally need finer teeth than a solid bar of the same outside size. Do not multiply tube outside diameter by TPI and count the empty center as cutting engagement. Nor does simply adding two wall thicknesses describe every stage of a round tube cut.

    Variable pitch alternates tooth spacing within a repeating group. It can reduce repeated tooth-impact vibration and suit changing engagement, but it still needs to match the material and section.

    Practice tube versus solid selection

    Tooth form and set describe different features

    Tooth form and set describe different features

    Tooth formSelection idea
    Regular or standardCommon general-purpose form, typically with a zero rake face. Fine versions suit thinner sections.
    SkipWidely spaced teeth with generous gullets, typically zero rake; useful when softer materials and larger chips need clearance.
    HookA positive rake face takes a more aggressive bite. Use where the maker recommends it for the material and the machine can support the cut.

    Rake describes the angle of the tooth face that meets the material. Exact angles vary by blade; “hook” does not specify one universal angle.

    Set patternArrangement and use
    RakerA common sequence is left, right, straight. A general-purpose arrangement; the straight tooth is unset.
    AlternateSuccessive teeth are set left and right.
    WavyGroups of teeth vary their sideways set in a wave. Common on fine-pitch blades for thin sections.

    Set pattern does not replace pitch selection. Choose the complete blade specification, not a tooth-form name alone.

    Choose blade material and dimensions for the machine

    Choose blade material and dimensions for the machine

    • Carbon steel: an economical choice for suitable easy-to-machine materials and lighter service.
    • Bimetal: high-speed-steel cutting teeth joined to a flexible alloy-steel back; widely used for metal cutoff work.
    • Carbide-tipped: carbide cutting tips for applications needing greater wear resistance, with a compatible machine and cutting conditions.

    Match blade length and thickness to the machine. Blade width, measured from tooth tip to back, also affects contouring; see Vertical Band Machining. Material name alone does not establish a blade's hardness limit or speed. Use the maker's product chart for the actual alloy and condition.

    Supporting detail: Addendum 33 — Manufacturer resources for the next selection step.

    Machining/Sawing and Grinding

    Vertical Band Machining

    Plan contour cuts around blade width and turning radius, and recognize the purpose of blade welding, band filing, and polishing attachments.

    A vertical band follows a contour through the work

    A vertical band follows a contour through the work

    A vertical bandsaw supports the work on a table while a continuous band cuts through it. Moving the work along a marked path allows curved outlines as well as straight cuts. This can remove excess material before milling a profile.

    Leave the planned finishing allowance on the retained side of the line, including room for the kerf. Use Shop Layout and Angle Measurement for marking the path and Choosing Shop Measuring Tools for checking the result. Tooth pitch and blade material are covered in Saw Blade Selection; speed and coolant in Cutoff Sawing.

    The tightest curve sets the blade-width limit

    The tightest curve sets the blade-width limit

    A narrow blade can turn a tighter curve; a wide blade better resists wandering in a straight cut. Find the smallest radius on the intended saw path, then use the blade maker's width-versus-minimum-radius chart. Choose a width that fits both that path and the machine.

    Radius is measured from the center of a curve to its edge; diameter is twice the radius. A chart's minimum radius is not a guarantee for every blade with that width: blade thickness and kerf clearance matter too. Do not force a wide blade around a tighter corner than its chart permits.

    Supporting detail: Addendum 34 — Why relief cuts help with some outlines.

    Blade welding closes the loop for some internal cuts

    Blade welding closes the loop for some internal cuts

    Blades may arrive as ready-welded loops. On equipment designed for it, a suitable open band can pass through a starting hole in the work and then be joined, making an internal contour accessible without a slot from the outside edge.

    In general, blade joining involves preparing and aligning the ends, making a butt weld, heat-treating the joint as specified, finishing the weld flush, and inspecting it. The joint must flex around the wheels and pass through the guides. Follow the welder and blade maker's instructions for the exact sequence and settings; not every blade construction is suitable for a shop blade welder.

    Supporting detail: Addendum 35 — Why joining includes more than making a weld.

    Filing and polishing require their own bands and guides

    Filing and polishing require their own bands and guides

    Some band machines accept a file band to remove small amounts of material and refine a contour, or an abrasive band to smooth a surface. These are dedicated attachments with matching guides and operating instructions, not ordinary saw blades used differently.

    Confirm that the machine supports the attachment before selecting its band, speed, or lubricant. Hand finishing methods are in Bench Work with Hand Tools. For operating hazards and precautions, use Machine Hazards and Housekeeping, Personal Protective Equipment, and Metal Chips and Swarf.

    Machining/Sawing and Grinding

    Bench Work with Hand Tools

    Hold a part in a bench vise, saw by hand, choose and clean files, and remove burrs without losing the intended shape.

    Use the vise to make the part steady

    Use the vise to make the part steady

    A bench vise holds the part while both hands control the tool. Clamp near the working area with enough material between the jaws to resist movement. Excessive projection makes the part flex and chatter. Use suitable soft jaw covers when the ordinary jaws would mark a finished surface, and support long pieces.

    Keep the cut or filing area accessible. A thin-walled part may need shaped support so clamping does not distort it. Check dimensions with Choosing Shop Measuring Tools and place lines using Shop Layout and Angle Measurement. For hazards and precautions, see Machine Hazards and Housekeeping, Personal Protective Equipment, and Metal Chips and Swarf.

    A conventional hand hacksaw cuts on the push stroke; Practice

    A conventional hand hacksaw cuts on the push stroke

    Install the blade with its teeth pointing away from the handle for the conventional push-cut setup, and tension it according to the frame's instructions. Choose pitch for the material actually crossed by the teeth: thin sections need finer teeth. Apply the three-teeth rule of thumb from Saw Blade Selection.

    Start a shallow groove with controlled strokes. Once established, use long, even strokes that spread the work over the blade. Apply cutting pressure on the forward stroke and ease it on the return. Keep the blade aligned with the cut instead of twisting it to steer back to the line. Ease pressure as the cut nears completion and plan support for the separated piece.

    Practice blade direction

    File cut and coarseness are separate choices; Practice

    File cut and coarseness are separate choices

    A file removes small chips with many teeth. Choose its shape to reach the surface: flat for a flat face, round for a round opening, or half-round for both flat and curved areas. A safe edge has no cutting teeth, allowing work close to an adjoining surface that should remain uncut.

    Single-cut file face has one family of diagonal teeth; double-cut face has two intersecting families.
    Cut pattern is not a coarseness grade. The drawing enlarges the tooth spacing for comparison.

    Single-cut files have one family of parallel tooth cuts; they are useful for controlled finishing and draw filing. Double-cut files have crossing cuts that divide the teeth into smaller cutting points; they commonly suit faster stock removal.

    Coarseness describes tooth spacing. Common grades run from rough, coarse, bastard, second-cut, smooth, to dead smooth, from coarser to finer. Availability varies. Compare grades within the same file family and length; the name alone is not a universal tooth-spacing measurement. “Second-cut” is a coarseness grade, not another name for double-cut.

    Practice file choice

    Keep the file flat and its teeth clear

    Keep the file flat and its teeth clear

    Fit a suitable handle to a tanged file. For ordinary forward filing, guide the file with both hands, keep it level, apply pressure on the cutting stroke, and ease pressure on the return. Rocking rounds the edges of a surface intended to stay flat. Check progress frequently rather than filing past size.

    For draw filing, hold a suitable single-cut file crosswise to the work and move it along the surface, with its length across the direction of travel. Use light, controlled pressure and orient it so the teeth cut on the working stroke. This helps blend marks and refine a flat surface.

    Chips lodged in the teeth are called pinning; they can scratch the work. Clean with a file card, brushing with the tooth grooves to clear trapped chips. Store files so their teeth do not rub against other tools.

    Supporting detail: Addendum 36 — File selection and care resources.

    Remove the burr without changing the required edge

    Remove the burr without changing the required edge

    Deburring removes the thin unwanted lip left by cutting. Use a file for accessible straight edges, a suitable swivel-blade deburring tool for edges it can follow, or a suitable countersinking tool for a hole entrance. Match the cutter to the material and edge shape.

    Take light passes and inspect the result. Removing a burr does not authorize a large chamfer or a rounded edge. Preserve the drawing's dimensions and edge requirements; if an edge break is specified, make that feature deliberately.

    Scribers mark; hammers and punches move or indent material

    Scribers mark; hammers and punches move or indent material

    A scriber makes a fine line with a hard point. Use it for the marking method described in Shop Layout and Angle Measurement, rather than as a substitute for a punch.

    A ball-peen hammer supplies controlled blows for appropriate metalworking tasks. A soft-face hammer can reduce surface marking when positioning a part; it does not guarantee that a delicate surface will be unmarked.

    A center punch makes an indentation for locating a drill start. A pin punch drives a pin with a flat-ended tip sized for that pin. Choose the tool for the task: the pointed center punch is not a pin driver. Detailed measuring and layout procedures belong in Shop Layout and Angle Measurement.

    Machining/Milling

    Vertical Mill Anatomy and Motion

    Identify what moves on a knee mill or bed mill, and distinguish spindle rotation, quill travel, head tram and part coordinates.

    The cutter rotates; feed changes its position relative to the work

    The cutter rotates; feed changes its position relative to the work

    A vertical mill has a spindle whose axis is vertical in its normal setup. The spindle rotates the tool. The head carries the spindle and its drive; the column supports and guides the machine assemblies. The table carries the workholding.

    Do not picture the workpiece as fixed in space. Depending on the machine, the table, head, or both move to feed the rotating cutter through the work. On a typical three-axis vertical mill, X is left–right, Y is front–back, and Z is along the vertical spindle axis.

    A CNC position describes the tool relative to the work. A table moving left can therefore produce tool motion to the right relative to the part. Confirm the machine's jog directions and readout before locating a feature. Continue with Milling Operations for what those movements cut.

    A knee raises the table; a bed mill supports it without a rising knee

    A knee raises the table; a bed mill supports it without a rising knee

    AssemblyTypical knee millTypical bed mill
    TableTravels along X on the saddle.Supported by the bed and slides; often travels along X.
    SaddleTravels along Y on the knee.May provide Y travel beneath the table; layouts vary.
    Vertical positioningThe knee raises or lowers the saddle and table.The head commonly travels vertically on the column.
    QuillA sliding sleeve gives the spindle a shorter axial feed, useful for drilling and fine depth adjustment.May be absent; the head's Z motion provides the feed.

    Identify the actual moving assemblies. “Bed mill” does not mean that every machine assigns Y travel to the head. CNC describes how motion is controlled, not whether the machine has a knee.

    The setup checklist follows a Tormach workflow. Use the manual for the installed machine to identify controls and travel; a familiar brand name does not establish its spindle interface, options or limits.

    Head tram and vise squareness check two different alignments

    Head tram and vise squareness check two different alignments

    Tram is the spindle axis's perpendicular alignment to the table in both left–right and front–back directions. An indicator carried around the spindle axis compares points on the table at the same sweep radius. This is an alignment check with spindle power off; head adjustment belongs to the machine-specific procedure.

    Squaring the vise makes its fixed jaw parallel to an axis of table travel. It uses a straight sweep along the jaw, not a circular sweep over the table. A square vise does not prove the head is in tram, and a trammed head does not prove the vise is square. See Milling Vises and Strap Clamps.

    Supporting detail: Addendum 37 — Why facing can reveal a tram problem.

    Machining/Milling

    Milling Vises and Strap Clamps

    Seat and align a milling vise, support work on parallels or soft jaws, and understand how strap-clamp position divides the clamping force.

    Clean contact surfaces before tightening anything

    Clean contact surfaces before tightening anything

    A vise locates the part against its fixed jaw; the moving jaw supplies the grip. Clean the table and underside of the vise before mounting it. Clean the jaw faces, vise bed, supports and part before loading. A chip trapped underneath changes the position you are trying to establish. Remove raised burrs without rounding away a locating surface.

    Choose a grip that leaves access for the cutter while supporting the cut. A part perched high above shallow jaw contact is a different setup from a part seated low in the vise. For the operating rules that govern this work, use Equipment Operating Procedure and Machine Hazards and Housekeeping.

    Sweep the fixed jaw, adjust, tighten, then sweep again; Interactive; Practice

    Sweep the fixed jaw, adjust, tighten, then sweep again

    1. Mount the vise with its fasteners engaged. Snug one mounting point enough to act as a pivot and leave the other adjustable.
    2. Mount an indicator rigidly with the spindle stopped. Contact a clean, undamaged part of the fixed jaw's locating face with some preload. See indicator setup.
    3. Choose a convenient reference near one end; zero there if it makes comparison easier. Traverse so the contact point follows the jaw toward the other end, keeping contact height and indicator orientation unchanged. Alignment comes from the differences across the sweep, whether or not you re-zero.
    4. Read the difference, then tap the adjustable end of the vise body lightly with a suitable soft mallet. Sweep again. Use the demonstrated indicator response to choose the direction.
    5. Tighten the mounting fasteners to the vise/mounting instructions and repeat the full sweep. Accept the setup against the job's alignment requirement, not an invented universal tolerance.

    First use: apply the same small corrective rotation about different illustrative pivots. The tilt can disappear while both ends settle at different common offsets; re-zeroing afterward is optional convenience.

    Rotate about a chosen illustrative pivot

    Physical contact — deviation exaggerated, not to scaleP25.000+0.060mmtoward bodycontact 100.000 mmIllustrative pose and pivot — the digital value uses the exact model

    Before: +0.060 mm tilt, old zero at the left

    Measuring span 0–100 mm; 1 mm face marginsStored zero at 0.000 mmNext pivot P=(25.000, 0) mmAccumulated |d| 0.0000 / 0.0040 mm/mmLeft reference 0.000 mmCenter reference +0.030 mmRight reference +0.060 mmRight − left +0.060 mmModel summary — full sweep range 0.060 mm

    After −0.0006 about 25 mm: both ends +0.015 mm

    Physical contact — deviation exaggerated, not to scaleP25.000+0.015mmtoward bodycontact 100.000 mmIllustrative pose and pivot — the digital value uses the exact model
    Measuring span 0–100 mm; 1 mm face marginsStored zero at 0.000 mmNext pivot P=(25.000, 0) mmAccumulated |d| 0.0006 / 0.0040 mm/mmLeft reference +0.015 mmCenter reference +0.015 mmRight reference +0.015 mmRight − left 0.000 mmModel summary — full sweep range 0.000 mm

    Optional convenience: re-zero at 50 mm

    Measuring span 0–100 mm; 1 mm face marginsStored zero at 50.000 mmNext pivot P=(25.000, 0) mmAccumulated |d| 0.0006 / 0.0040 mm/mmLeft reference 0.000 mmCenter reference 0.000 mmRight reference 0.000 mmRight − left 0.000 mmModel summary — full sweep range 0.000 mm

    The rotation removes the linear tilt while the chosen pivot determines the common offset. Re-zeroing changes the displayed references, not the alignment.

    Equal endpoints can hide a local high spot

    Physical contact — deviation exaggerated, not to scaleP25.000+0.080mmtoward bodycontact 50.000 mmIllustrative pose and pivot — the digital value uses the exact model
    Measuring span 0–100 mm; 1 mm face marginsStored zero at 0.000 mmNext pivot P=(25.000, 0) mmAccumulated |d| 0.0000 / 0.0040 mm/mmLeft reference 0.000 mmCenter reference +0.080 mmRight reference 0.000 mmRight − left 0.000 mmModel summary — full sweep range 0.080 mm

    The endpoints both read 0.000 mm, while the center reads +0.080 mm. Traverse the whole jaw instead of checking only its ends.

    Model: physical jaw position is a + m·x + b·4(x/L)(1 − x/L). Displayed reading = response × physical position − the raw reading stored as zero. A small illustrative rotation d about world pivot P=(p, 0) updates m to m + d and a to a − p·d; the stored zero is unchanged. The fixed 100 mm measuring span is inset 1 mm from each end of the finite modeled face. This is a first-order small-angle model with |d| ≤ 0.001 mm/mm, 0.0001 mm/mm control steps, and total rotation travel ≤ 0.004. The step is model resolution, not real-vise quantization. It does not model adjustment force. The drawing exaggerates deviation and is not a literal scale.

    Worked example: over 100 mm, start with left 0.000 and right +0.060 mm. Apply d = −0.0006 about 25 mm: both ends become +0.015 mm, so the tilt is gone but the old zero reveals a common offset. About 50 mm both become +0.030 mm; about 0 mm both become 0.000 mm. Re-zeroing is optional convenience, not an alignment requirement. A real setup is accepted against the job requirement, not a universal tolerance from this model.

    Alignment procedure: MIT, Introduction to the Mill, pp. 2–3. The comparison geometry and examples here are original.

    Prove the sign first. Check which way the reading changes when the contact is displaced a known small amount toward the indicator body. With the response shown above, a higher right-end reading means that end is nearer the indicator: move it away. A lower right-end reading needs the opposite correction. Reverse the contact arrangement and the tap direction can reverse.

    Supporting detail: Addendum 38 — Read the whole sweep, not just two endpoints.

    Practice tap direction Practice re-zeroing Practice full-sweep interpretation

    Parallels establish height; soft jaws establish a shaped seat

    Parallels establish height; soft jaws establish a shaped seat

    Parallels are matched support bars placed beneath the part. Choose a height that gives cutter clearance and enough jaw engagement. Keep the planned drilling and milling paths clear of them.

    Snug the part, seat it with light downward taps from a dead-blow mallet, then tighten and check the seating again. Check that both supports are contacting; a loose parallel or visible gap means the part may have lifted. A mallet cannot make a chip underneath disappear.

    Soft jaws are machinable replacement jaws. A step or pocket cut into them can support a thin part or fit a contour. Machine the pocket with the jaws preloaded in the intended clamping direction, following the vise maker's method. Clean the pocket and check full seating when loading each part; the jaw shape does not excuse insufficient grip.

    Put the clamp stud nearer the part than the heel support; Practice

    Put the clamp stud nearer the part than the heel support

    A strap clamp bridges the part and a heel support. A step clamp has a toothed heel that mates with a step block. Set the heel to the clamp maker's specified height, normally level with or slightly above the part contact. Locate the part against suitable stops and support it beneath the clamping points; a strap pressing on an unsupported span can bend the work.

    Place the stud toward the part end of the strap. Keep adequate contact on the part and full seating at the heel. The stud must lie between these contacts. Plan the straps, studs and supports so the tool and holder can pass them.

    Strap-clamp side view and free-body diagram: stud load P acts downward between upward reactions at the part and heel. Part-to-stud distance is a, stud-to-heel distance is b. Part clamping force is P times b divided by a plus b.

    A short distance from the part to the stud gives the part a larger share of the same stud load.

    In the ideal two-contact model, part force = P × b / (a + b). Here P is the downward force from the nut, a is part-contact-to-stud distance, and b is stud-to-heel-contact distance. With P = 6,000 N, a = 20 mm and b = 60 mm, the part receives 4,500 N and the heel receives 1,500 N.

    Supporting detail: Addendum 39 — Why the force divides this way—and what the model cannot tell you.

    Practice clamp-force sharing

    Machining/Milling

    Mill Indicators and Part Zero

    Choose an indicator for alignment, account for edge-finder radius, and keep machine home, work zero and tool length separate.

    A test indicator sweeps with a lever; a dial indicator measures plunger travel

    A test indicator sweeps with a lever; a dial indicator measures plunger travel

    InstrumentContact motionSetup use
    Test indicatorA short stylus pivots through a small angle.Convenient for sweeping a vise jaw or a bore where access is tight.
    Plunger dial indicatorThe spindle, or plunger, moves straight through a fixed mounting stem into the body.Useful for displacement checks and alignment when the plunger can face the measured motion.
    Digital plunger indicator (shown below)A spindle/plunger still moves linearly; an LCD replaces the pointer and dial.Useful for the same kinds of displacement checks when its range, contact geometry and specifications fit the task.
    A lever test indicator mounted on a separate stand. Its short stylus contacts a cylindrical part; the stand post, arm and clamps are visible, while the magnetic base is only partly in frame.
    Lever test indicator. The short stylus and contact point pivot at the instrument body. The post, arm and clamps are parts of a separate stand; its magnetic base is only partly visible at the frame edge. Photo: David English (Fixerdave), Wikimedia Commons, CC BY-SA 4.0. Downscaled and converted to WebP; the adapted image remains CC BY-SA 4.0. No endorsement implied.
    An analog plunger dial indicator mounted on a separate stand. Its straight spindle and contact point touch a turned shaft; the stand post, arm and clamps are visible, while the magnetic base is only partly in frame.
    Analog plunger indicator. The body carries the dial, bezel and pointer; the straight spindle/plunger reaches the contact point. The stand is separate from the instrument, and its base is not fully shown. Photo: David English (Fixerdave), Wikimedia Commons, CC BY-SA 4.0. Downscaled and converted to WebP; the adapted image remains CC BY-SA 4.0. No endorsement implied.
    A digital plunger indicator on a white background, showing the LCD body, buttons, fixed mounting stem, moving spindle and rounded contact point.
    Digital plunger indicator. The LCD and buttons change the readout, not the contact mechanism. Below the body, the fixed mounting stem surrounds the moving spindle/plunger, which ends at the rounded contact point. No stand is shown. Photo: Huugo, Wikimedia Commons, CC0 1.0. Downscaled and converted to WebP. The manufacturer mark identifies the photographed instrument; no endorsement implied.

    These displays do not define the contact mechanism: the digital instrument shown here is still a plunger indicator. Test and plunger indicators can both compare alignment. Use the maker's stylus angle for a test indicator; on a common lever design the stylus lies nearly parallel to the measured surface. Align a plunger with the displacement being measured. Incorrect contact angles change the scale factor.

    Keep the mounting rigid, preload within the instrument's range and confirm repeatability. During a fixed-jaw sweep, keep the spindle stopped and the contact geometry unchanged. For a bore-centering sweep, turn the spindle by hand using the approved setup method. Follow Equipment Operating Procedure for the machine state during setup.

    Supporting detail: Addendum 40 — Contact angle affects the reading.

    An edge finder locates the spindle center one tip radius from the edge

    An edge finder locates the spindle center one tip radius from the edge

    A mechanical edge finder has a spring-loaded contact tip that becomes concentric and then kicks sideways at contact. Use its specified spindle speed and approach method. Electronic edge finders and probes use different signals and procedures; do not assume they rotate like a mechanical edge finder.

    Use a clean, defined edge, repeat the approach and account for the contact-tip radius. If the tip is 10 mm in diameter, the spindle center is 5 mm outside the edge at the trigger point. Setting that center position to zero without the radius correction moves every feature by 5 mm.

    Example: the left face is X = 0 and positive X goes into the part to the right. At contact from the left with a 10 mm tip, the spindle center is X = −5 mm. Enter that position in the work-coordinate setting method for the control. On approach from a right-hand face, the sign changes. Sketch the spindle center and edge before choosing a sign.

    Supporting detail: Addendum 41 — Check both repeatability and the offset sign.

    Find an edge, choose the sign, and check where the hole lands; Interactive

    Find an edge, choose the sign, and check where the hole lands

    Jog a mechanical edge finder toward any of the four edges, watch the tip wobble, centre and kick, then decide what the readout should read at that position. A check hole shows where your zero really is. The radius used is half the contact diameter, which can differ from the body diameter. Re-approach from the same direction each time; reversing a feed screw adds backlash, which this model does not include.

    Wobble, centre, kick

    Free: off-centre wobble

    partTop view, magnified→ +X ↑ +YSide view from the frontTo trigger: 7.370 mm

    0.200 mm before the trigger: nearly concentric

    partTop view, magnified→ +X ↑ +YSide view from the frontTo trigger: 0.200 mm

    At the trigger: the tip kicks sideways

    partTop view, magnified→ +X ↑ +YSide view from the frontKick: trigger reached
    The offset tip orbits while free, is pushed concentric by the edge, then kicks when the spindle centre is one contact radius from the edge. The wobble and kick are drawn for illustration, not as contact mechanics.

    Where the check hole lands

    Top view, true scaledatum X 020+X+Y (back)front (operator side)

    Distance from the datum edge, magnified (mm); the dashed line is the drawing’s 20.000

    0510152025your hole 20.000radius forgotten 15.000wrong sign 10.000
    Check holes: drawing says 20.000 mm from the left edge
    HoleReadout set at kick (mm)Lands from edge (mm)Off by (mm)
    Your hole−5.00020.0000.000
    Radius forgotten0.00015.0005.000 toward edge (1 r)
    Wrong sign+5.00010.00010.000 toward edge (2 r)
    The sign depends on the side approached (+X right, +Y toward the back)
    EdgeSpindle approaches movingEdge positionSet readout at the kick (10 mm contact)
    Left edge+XX = reading + r−5.000 mm
    Right edge−XX = reading − r+5.000 mm
    Front edge+YY = reading + r−5.000 mm
    Back edge−YY = reading − r+5.000 mm

    Worked example (left edge, 10 mm contact, r = 5 mm): at the kick the X readout shows +32.460 mm in its old, arbitrary frame. The edge is at reading + r = +32.460 + 5.000 = +37.460 mm. Setting the readout to −5.000 mm at that position makes the edge read 0, and a hole programmed at X 20.000 lands 20.000 mm from the edge. Setting 0 instead (radius forgotten) puts the hole at 15.000 mm: off by r. Setting +5.000 (wrong sign) puts it at 10.000 mm: off by 2r.

    Model: top view; positions are the spindle centre relative to the part, whichever of them actually moves. The trigger occurs when the spindle centre is exactly one contact radius (half the contact diameter, not the body diameter) from the edge, on the approach side. Lengths are exact to 0.001 mm; jog steps are 1, 0.1 and 0.01 mm. A step that crosses the trigger leaves the readout past it by up to one step. The other axis is assumed already located. Backlash, tip wear, edge condition and speed are not modelled; use the edge finder’s specified speed.

    Sources: MIT 2.670, Milling Machine, “Using an Edge Finder”, p. 6; Starrett 827MB and 827A product pages (how to use; 6 mm and 0.200 in contact diameters). The part, readings and drawings are original illustrations.

    Home the machine, locate the part, then account for each tool's length

    Home the machine, locate the part, then account for each tool's length

    • Machine home establishes the machine's reference positions. It does not locate the part.
    • Work zero is the origin chosen on the part or fixture. Its work offset relates that origin to the machine coordinates.
    • Tool length offset accounts for where a particular tool tip lies relative to the control's tool reference.

    Choose the origin used by the drawing and program, locate X and Y, and establish Z using the approved touch-off or probing method. Account for any gauge or touch plate thickness. Confirm the active work offset, tool number and tool length before a trial path. Recheck after moving the part or changing how a tool is seated.

    Use Vertical Mill Startup, Setup and Shutdown to check the sequence and G-code and Toolpaths to connect coordinates to a program. Tormach's basic-operation reference provides links to work/tool offset instructions; select documentation matching the installed control.

    Two tools touch the same surface at different readings; Interactive

    Two tools touch the same surface at different readings

    Once X and Y are located, Z still depends on which tool is in the spindle. Predict the readout for two tools of different lengths touching the same part top, with ideal contact or through a block of stated thickness. CNC Axes and Offsets shows how a control applies a stored length value.

    Two tools touched off on the same surface

    Side view: tool lengths and diameters to scaleL 82.000T1 · Z +10.000L 109.500T2 · Z +37.500part top, Z 0
    Touch-off through a 10.000 mm block
    ToolLength, gauge line to tip (mm)Z reading at touch-off (mm)Length value vs T1 (mm)
    T1 · 10 mm end mill (reference)82.000+10.0000.000
    T2 · 6 mm drill109.500+37.500+27.500
    Touch-off with ideal zero-thickness contact
    ToolLength, gauge line to tip (mm)Z reading at touch-off (mm)Length value vs T1 (mm)
    T1 · 10 mm end mill (reference)82.0000.0000.000
    T2 · 6 mm drill109.500+27.500+27.500

    Worked example: the readout follows the spindle and reads T1’s tip height, with the part top at Z 0. T2 is 27.500 mm longer than T1. Touching T2 onto a 10.000 mm block, the readout shows Z = 0 + 10.000 + (109.500 − 82.000) = +37.500 mm. T2’s length value is that reading minus the block: +27.500 mm. With that value applied, the tip Z is the reading minus 27.500. Without it, a move to Z +2.000 with T2 would put its tip at 2.000 − 27.500 = −25.500 mm: 25.500 mm below the part top.

    Model: Z reading at touch-off = surface Z + gauge thickness + (Ltool − LT1). Lengths run from the spindle gauge line to the tip and are illustrative. The gauge is either an ideal zero-thickness contact or a stated 10.000 mm block. Controls store and apply tool length in different ways; follow the control’s documentation for the actual offset entry.

    Machining/Milling

    Mill Toolholders and Collets

    Match the spindle interface, compare tool-gripping mechanisms by five job criteria, and assemble ER collets with the required grip and reach.

    The spindle connection and the tool grip are separate choices

    The spindle connection and the tool grip are separate choices

    A holder has a machine end and a cutting-tool end. “ER” describes a collet system at the tool end; it does not tell you which spindle the holder fits.

    InterfaceHow to recognize the idea
    R8A taper seats in the spindle and a drawbar threads into the collet or holder to pull it in. A direct R8 collet grips a matching tool shank.
    CAT / BTSteep-taper holder families with flanges and retention knobs, also called pull studs, for compatible spindle retention and tool changing. Similar-looking tapers do not establish interchangeability: family, size, flange and retention knob must match the machine.
    TTSThe Tormach Tooling System uses a straight holder shank gripped in a compatible collet and a shoulder that seats against the spindle face. TTS is a toolholding system, not a CAT/BT-style taper. Its seated shoulder provides a repeatable axial reference.

    Identify the installed interface before selecting a holder. A Tormach name alone does not identify the spindle system or drawbar arrangement.

    Supporting detail: Addendum 42 — Public toolholder references.

    Compare what actually closes around the tool shank

    Compare what actually closes around the tool shank

    • Ordinary keyed or keyless drill chuck: adjustable jaws grip drilling-tool shanks. A key or a hand-operated sleeve closes the jaws. Jacobs and Albrecht are brands, not gripping-mechanism categories. Do not assume an ordinary drill chuck or its mounting is suitable for milling side loads.
    • Weldon / side-lock / set-screw end mill holder: a fitted bore locates the shank and a screw bears on its designated flat. Match the bore, shank and flat. This retention feature does not guarantee that a tool cannot move under every load.
    • ER collet: the nut draws a split collet into a taper, closing it around the shank. Match the series and stated gripping range. A direct R8 collet is a different system.
    • Shrink fit: controlled heating expands the holder bore; cooling around the matching shank produces an interference grip. Tool changes need the compatible heating/cooling equipment and the maker's process.
    • Hydraulic expansion chuck: an actuator pressurizes fluid inside the holder; a sleeve deforms against the shank. The actuating screw pressurizes the system rather than bearing directly on a Weldon flat.
    • Mechanical milling chuck: a mechanical drive compresses the gripping bore or a special collet. Designs differ: some use a nut and needle bearings; Albrecht APC uses gearing and a tapered collet. APC is a milling-chuck product, distinct from Albrecht's jaw drill chucks.
    • REGO-FIX powRgrip: a dedicated unit presses a matching tapered collet into the holder. The retained grip is a mechanical press fit, not an ER nut, thermal shrink fit or hydraulic-expansion sleeve.

    Grip the intended shank surface, not the cutting flutes. Keep the tool's specified engagement in the holder while leaving only the reach needed to cut and clear the part.

    Original concept sketches distinguish spindle interface from tool grip and compare jaws, a screw on a designated flat, a nut-drawn ER collet, thermal shrink fit, a fluid-loaded hydraulic sleeve, a mechanical milling chuck and a pressed tapered collet.

    Different force paths can produce similar-looking holders. Schematics identify mechanisms, not assembly instructions, dimensions or performance rankings.

    Supporting detail: Addendum 43 — Manufacturer examples and the drill-chuck exception.

    Choose against runout, balance, grip, clearance and total system cost

    Choose against runout, balance, grip, clearance and total system cost

    Runout concerns the tool's rotating geometry; balance concerns the distribution of rotating mass. Grip must resist the required turning and axial loads. Clearance and reach must work throughout the path. Cost includes the holder, collets or sleeves, setup equipment, inspection, maintenance and change time.

    Use this matrix to shortlist actual products. Each cell names a useful check, not a universal quality grade or approval to run at a particular speed. On a narrow screen, scroll the table sideways; keyboard users can focus it and use the arrow keys.

    Compare the assembled setup, not just the holder family
    MechanismRunout / high-RPM balanceGrip / clearance and reachSystem cost and upkeep
    Ordinary drill chuckCheck jaws, mounting and the exact speed rating.Drilling use; body and jaws need clearance.Adjustable diameter coverage; inspect jaws and mounting.
    Side-lockVerify the screw/flat assembly's runout and balance.Designated flat; check body and screw clearance.Bore-specific holders; no heat or press unit.
    ER colletCollet, nut, shank and seating all contribute.Correct gripping range; nut adds front-end diameter.Collets cover sizes; correct nut, wrench and torque equipment.
    Shrink fitCheck the assembled tool, not concentric appearance.Slim-nose options; verify shank match and engagement.Heating/cooling equipment, compatible tooling and change cycle.
    HydraulicCheck the sleeve's condition and product specifications.Check the exact milling application and engagement limits.Approved actuation and sleeves; inspection/service requirements.
    Mechanical milling chuckClamping configuration can change grip and runout.Roughing candidates; compare the actual body/nut envelope.Maker's wrench and approved parts; mechanism-specific care.
    Pressed collet / powRgripCheck the matched collet, holder and complete assembly.Correct collet diameter; compare actual nose profiles.Matching collets and a dedicated press-in/out unit.

    Supporting detail: Addendum 44 — A real trade-off within one product family.

    Snap the ER collet into its nut before threading the nut onto the holder

    Snap the ER collet into its nut before threading the nut onto the holder

    1. Match the ER series, nut, collet and tool shank. Read the collet's actual range; the ER series number is not the tool diameter. Do not force an oversized shank into it or collapse it below its rated range.
    2. Clean and inspect the holder socket, collet, nut and tool shank. Follow the manufacturer's lubrication instructions for the named surfaces; do not treat every taper and gripping surface alike.
    3. Engage the collet's extraction groove with the nut's eccentric retaining ring. Tilt and snap it into place as instructed by the maker.
    4. Thread the nut-and-collet assembly loosely onto the holder.
    5. Insert the tool with the required shank engagement and planned stickout. Tighten to the specified torque using the proper wrench and holding fixture.

    ER assembly sequence: clean and match parts; snap the collet groove into the nut's eccentric ring; thread the captured nut and collet loosely onto the holder; insert the shank and torque as specified.

    The nut captures the collet before either goes on the holder. Do not place the collet in the holder first and try to force the nut over it.

    Range example: a collet explicitly rated 9–10 mm can grip a 9.5 mm shank; it cannot grip a 10.2 mm shank. This is a reading exercise, not a universal collapse range for every ER collet.

    Supporting detail: Addendum 45 — Why the snap matters.

    A low runout reading does not establish high-speed balance

    A low runout reading does not establish high-speed balance

    Runout is the variation seen as a tool or reference shank rotates about the spindle axis. If one cutting edge projects farther than the others, it can carry more of the load. Dirt, damaged seating surfaces, a poor collet fit, the tool, holder or spindle can contribute. Clean and reseat before blaming cutting data; measure against the job and tool requirements.

    A geometrically straight assembly can still have uneven mass around its axis. A holder's balance marking may apply without the tool, collet or other fitted parts. Check the complete rotating assembly, the stated measurement conditions and every applicable operating-speed limit. Balancing does not raise a component's permitted speed.

    Supporting detail: Addendum 46 — Why adding the tool can change the answer.

    Measure the reach you need without losing the required grip

    Measure the reach you need without losing the required grip

    Physical tool stickout is the unsupported tool length beyond the effective grip. For the bending model, identify the clamp-to-load distance. Holder projection or gauge length refers to dimensions on the holder drawing, often measured from the spindle's gauge reference to a specified holder feature. Flute length is the length of the tool's cutting portion. These are different measurements; read the endpoints on the actual drawing.

    A longer holder can move the grip closer to a deep feature while the cutter keeps adequate engagement. It also adds holder projection to the system, so check stiffness and the complete collision envelope. Do not gain reach by pulling a tool out below its required clamping length. Explore Tool Stickout and Deflection for unsupported length and Milling Chatter for the wider cutting system.

    Practice choosing the governing constraint before naming a holder

    Practice choosing the governing constraint before naming a holder

    • Shallow roughing: start with a milling-rated assembly's torque transfer and axial retention. A matching side-lock holder is one candidate when the tool has the designated flat; compare other approved systems against the job rather than declaring one family the strongest.
    • Deep, narrow feature: compare nose/body clearance and required tool reach. A slim holder may avoid a collision that a large collet nut would create. Verify engagement and the holder's projection as well as the exposed cutter.
    • High-speed finishing with a small cutter: prioritize measured runout, assembly balance and the actual speed limits. A holder family name, shiny finish or high gripping-force claim settles none of those checks.

    Supporting detail: Addendum 47 — Check your selection reasoning without a video.

    Use short Haas video stops to test the mechanism comparisons

    Use short Haas video stops to test the mechanism comparisons

    The native explanations and prompts below work without video or network access. The links open selected moments in two Haas videos; they are study references, not this shop's operating procedures or equipment inventory.

    Tool Holder Essentials — compare the choices

    ER Collet Essentials — range and assembly

    • 6:50 — read the collet range. Explain why a series name alone cannot select a tool-shank diameter; use the stated range example above.
    • 12:40 — capture the collet in the nut. Predict the order before playing. Check: nut captures collet first; the assembly then goes onto the holder.
    • 15:50 — torque guidance. Identify where the correct value comes from. Check: the manufacturer of the actual nut, collet and holder combination, not a number generalized from a demonstration.
    Machining/Milling

    End Mill Anatomy and Cutter Selection

    Read end mill geometry, compare flute counts and tool materials, and choose a cutter for the material and operation.

    End Mill Anatomy

    End Mill Anatomy

    An end mill has cutting teeth separated by recessed flutes. Read the side and the cutting end together: the flute hollow, the cutting edge and the relieved face behind it are different features.

    Oblique rendered view of the approved original four-flute end mill, showing the plain shank, smooth flute runout and actual helical flute hollows and cutting teeth.

    Oblique view: the flutes blend out into a plain shank. This representative tool has no reduced neck.

    Side view of the same 12 mm, four-flute, 30-degree end mill with 26 mm cutting length, flute runout ending at 33 mm and 76 mm overall length.

    Side view: OAL 76 mm, functional LOC 26 mm; the runout finishes at 33 mm. Runout is not extra functional cutting length.

    End-oblique close-up of the same cutter, exposing two opposed long lips, two short lips, recessed end gashes and ground end relief faces.

    End detail: two long lips and two short lips meet real recessed gash pockets. This is the cutting end, not a section through the fluted body.

    Original Blender-authored representative geometry. Use the lab below to orbit the same model, locate the named features and inspect the end. These are teaching dimensions, not a manufacturer part specification or setup recommendation.

    • Flutes are grooves beside the teeth that provide room for chips. The sharp edges bordering them do the cutting.
    • Helix angle describes the spiral relative to the tool axis. It affects how the edge enters the cut and the direction of cutting forces; it is not the spindle's rotation direction.
    • Cutting diameter is the diameter swept by the cutting edges. Shank diameter fits the holder and may differ from cutting diameter.
    • Overall length (OAL) runs from tool tip to shank end. Length of cut (LOC) is the axial cutting-edge length, not permission to cut that entire depth in one pass.
    • Length below shank (LBS) runs from the start of a reduced neck to the tip, so it includes both relieved neck and LOC. It is not the neck-only length.
    • Square end makes a flat-bottom form with a sharp nominal corner. A corner-radius or bull-nose end rounds that corner. A ball end has a rounded tip for curved surfaces.
    • Center-cutting geometry can cut at the tool center, allowing axial entry when the manufacturer permits it. Flute count alone does not prove a tool can plunge; check its entry method and limits.
    Peripheral and end cutting edges
    The sharp intersections of the rake and relieved faces cut on the side and the end respectively. An edge is not the same thing as the whole flute groove.
    Rake face
    The face ahead of the cutting edge, along which the newly formed chip flows.
    Primary relief and land
    The narrow ground surface just behind an edge clears the newly cut surface. Further relief behind it provides additional clearance; the exact grind varies with the tool.
    Flute or gullet
    The hollow beside a tooth provides chip space. The material between the flutes forms the teeth and the central core.
    End gash and end relief
    A gash is a recessed pocket at the end near the lips; the relieved face behind an end edge provides clearance. Neither is a decorative line drawn on a flat cap.
    Core, runout and reduced neck
    The core is the central material remaining between the flutes. Runout is where a groove blends into the shank. A reduced neck is a separate relieved reach region; the displayed four-flute model does not have one.
    Helix and radial pitch
    The helix angle is measured relative to the tool axis on its cylindrical surface. Radial pitch is angular spacing between teeth: four equally spaced flutes give 90°. These describe different directions.

    Holder-face projection is the mounted distance from holder face to tip. Pulling the same tool farther out changes projection and insertion, not OAL, LOC or LBS. Follow the tool and holder makers' gripping requirements. Use Mill Toolholders and Collets for the holder system, Tool Stickout and Deflection for the cost of extra reach and Milling Operations for the shapes these cutters produce.

    Supporting detail: Addendum 48 — Public anatomy reference.

    End Mill Anatomy Lab; Interactive

    End Mill Anatomy Lab

    Approved fixed model: 12 mm diameter, four flutes, 30° helix, LOC 26 mm and OAL 76 mm; no reduced neck. The same geometry is shown in the live viewer.

    Approved original four-flute end mill, oblique view of helical flutes, runout and plain shank.

    Side and oblique surfaces show the flute hollows and cutting teeth.

    Approved end detail with long and short lips, actual recessed end gashes and relief faces.

    End gashes and relieved faces are real geometry, not markings on a flat cap.

    Separate catalog comparison: reach and mounting

    The following two schematic catalog examples differ from the fixed 3D model. Their 100 mm OAL, LOC and LBS stay fixed when the holder moves.

    First use: compare one reduced-neck tool mounted at 75 and 85 mm projection. Its OAL, LOC and LBS do not stretch when the mounting changes.

    Same reduced-neck tool, two mountings

    Reduced-neck tool dimensions and holder projectionReduced-neck tool dimensions and holder projection. The tool tip is at the right. Cutting flutes extend through LOC, a reduced neck extends from LOC through LBS, and the plain shank continues to OAL. A holder face shows the separate mounted projection.holder faceLOC 20 mmLBS 70 mmOAL 100 mmholder-face projection 75 mmSide-view flute strokes are schematic, not a measured helix projection.Illustrative dimensions; mounting projection is not a grip recommendation.
    OAL 100 mmLOC 20 mmLBS 70 mmCut / shank / neck Ø 12 / 12 / 10 mmHolder projection 75 mmIllustrative insertion 25 mmHelix 40° to tool axis (catalog angle; side strokes schematic)Pitch 90° radial spacing

    Ten millimetres farther from the holder

    Reduced-neck tool dimensions and holder projectionReduced-neck tool dimensions and holder projection. The tool tip is at the right. Cutting flutes extend through LOC, a reduced neck extends from LOC through LBS, and the plain shank continues to OAL. A holder face shows the separate mounted projection.holder faceLOC 20 mmLBS 70 mmOAL 100 mmholder-face projection 85 mmSide-view flute strokes are schematic, not a measured helix projection.Illustrative dimensions; mounting projection is not a grip recommendation.
    OAL 100 mmLOC 20 mmLBS 70 mmCut / shank / neck Ø 12 / 12 / 10 mmHolder projection 85 mmIllustrative insertion 15 mmHelix 40° to tool axis (catalog angle; side strokes schematic)Pitch 90° radial spacing
    OAL, LOC and LBS stay fixed. Only holder-face projection and illustrative insertion change.

    Matched OAL, different reach geometry

    Long-flute tool dimensions and holder projectionLong-flute tool dimensions and holder projection. The tool tip is at the right. Cutting flutes extend through LOC, LOC and LBS end together with no reduced-neck interval, and the plain shank continues to OAL. A holder face shows the separate mounted projection.holder faceLOC 70 mmLBS 70 mmOAL 100 mmholder-face projection 75 mmSide-view flute strokes are schematic, not a measured helix projection.Illustrative dimensions; mounting projection is not a grip recommendation.
    OAL 100 mmLOC 70 mmLBS 70 mmCut / shank / neck Ø 12 / 12 / 12 mmHolder projection 75 mmIllustrative insertion 25 mmHelix 40° to tool axis (catalog angle; side strokes schematic)Pitch 90° radial spacing
    Reduced-neck tool dimensions and holder projectionReduced-neck tool dimensions and holder projection. The tool tip is at the right. Cutting flutes extend through LOC, a reduced neck extends from LOC through LBS, and the plain shank continues to OAL. A holder face shows the separate mounted projection.holder faceLOC 20 mmLBS 70 mmOAL 100 mmholder-face projection 75 mmSide-view flute strokes are schematic, not a measured helix projection.Illustrative dimensions; mounting projection is not a grip recommendation.
    OAL 100 mmLOC 20 mmLBS 70 mmCut / shank / neck Ø 12 / 12 / 10 mmHolder projection 75 mmIllustrative insertion 25 mmHelix 40° to tool axis (catalog angle; side strokes schematic)Pitch 90° radial spacing
    LBS includes LOC plus any relieved neck. It is neither neck-only length nor holder projection.

    Model boundary: the approved fixed mesh represents a square-end cutter with end gashes and relief. The separate catalog sketches are dimension illustrations, not manufacturing CAD or proof of a permitted plunge, cutting depth or grip.

    The 3D lab uses the approved fixed four-flute model. The separate static catalog comparisons explain reduced-neck and long-flute examples; they are not selectable shapes of this GLB. A reduced neck provides clearance, not proof of strength or permission to use a particular depth or holder projection.

    Choose flute count for chip space and engagement, not material alone

    Choose flute count for chip space and engagement, not material alone

    FlutesUseful starting pointCheck before choosing
    2Generous chip space, often useful for aluminum slots.Geometry, edge strength and the maker's slotting recommendation.
    3Common aluminum-specific choice balancing chip space with another cutting edge.That the tool is designed for the material and engagement; three flutes alone are not a material specification.
    4Common for steel and for cuts where chip space is less restrictive.A full-width slot can pack the smaller flute spaces. Do not assume more teeth always improve removal rate.

    A side cut and a full-width slot load the same cutter differently. Select the actual tool's data for the operation, then use Feeds and Speeds for the calculations and Climb and Conventional Milling for feed direction.

    Supporting detail: Addendum 49 — Why the two-for-aluminum, four-for-steel rule is only a starting point.

    Match HSS, carbide and coating to the job and machine; Practice

    Match HSS, carbide and coating to the job and machine

    High-speed steel (HSS) is relatively tough and often economical. It can be a useful choice at lower cutting speeds, especially where the setup cannot take full advantage of carbide. Cobalt HSS is an HSS family with improved hot hardness.

    Cemented carbide retains hardness at higher cutting temperatures and is stiffer than HSS, but is less tolerant of impact and poor support. A carbide tool does not make a loose setup rigid. Select its grade and geometry as well as its material.

    Coatings change wear, friction and heat behavior. TiN and TiCN are familiar options; AlTiN/TiAlN are common on tools for hot-running ferrous applications. For aluminum, choose an uncoated polished tool or a coating explicitly recommended for that alloy, such as TiB2 where specified. Color is not a reliable selection method, and no coating guarantees a fixed multiple of tool life.

    Job examples: for an aluminum slot, start by comparing aluminum-specific two- and three-flute tools with enough chip space. For steel side milling on a rigid setup, a steel-rated four-flute carbide tool may be a good starting point. For a modest-speed, interrupted job, a suitable HSS tool may be more forgiving. Check the manufacturer's recommendations before selecting the cutting data.

    Practice cutter selection

    Supporting detail: Addendum 50 — Check the coating's material recommendation.

    Face mills and fly cutters cover broad flat surfaces

    Face mills and fly cutters cover broad flat surfaces

    A face mill uses several cutting edges, often replaceable inserts, to machine a broad face. Match its diameter, insert geometry, holder and power demand to the machine and part.

    A fly cutter carries a single cutting point that sweeps a circle. It can make a broad finishing pass, but its single edge and interrupted loading need suitable rigidity, balance and cutting data. It is not simply a face mill that can use the same feed setting.

    Check tram when a broad facing pass leaves steps. Cutter selection belongs with machine alignment, toolholding and the operation being planned.

    Machining/Milling

    Milling Chatter

    What milling chatter is, why it damages finish, accuracy and tools, and how to diagnose the force path before changing one permitted variable at a time.

    Chatter is a self-reinforcing vibration during cutting

    Chatter is a self-reinforcing vibration during cutting

    Milling chatter is vibration that grows through the cutting process instead of simply following a steady outside disturbance. The changing motion changes chip thickness and cutting force, which can feed more energy into the motion. Left uncontrolled, it can spoil surface finish and dimensional accuracy, increase tool deflection and accelerate cutting-edge wear or failure.

    A common mechanism, regenerative chatter, is self-excited: one cutting edge leaves a waviness that changes the chip thickness seen by the next edge, and the changing force can reinforce the motion. That mechanism does not describe every vibration or finish defect. A repeating surface pattern, a loud cut or another forced vibration can be clues; they do not prove regenerative chatter by themselves.

    Supporting detail: Addendum 51 — Several faults can look or sound like chatter.

    Stop the cut before inspecting or changing the setup; Watch out

    Stop the cut before inspecting or changing the setup

    End the cut with the approved machine procedure before approaching or changing anything. Use Equipment Operating Procedure and Machine Hazards and Housekeeping for the operating rules.

    Do not tune around a part, tool or holder that moved. A shifted workpiece, incomplete seating, damaged edge or visibly slipping tool is a mechanical problem to correct or report before another cutting trial.
    Record the evidence before trying another cut

    Record the evidence before trying another cut

    Record where the symptom began, where it appears on the part, which operation and tool were active, and the actual speed, feed, engagement and holder projection. This creates a comparison for the next check instead of relying on sound or memory.

    Trace force through the complete cutting system

    Trace force through the complete cutting system

    Two connected force paths meet at the cut. The tool path runs from machine and spindle through the spindle interface, holder and collet, and cutter. The work path runs from the machine table through fixture and workholding to the workpiece. The cut, programmed engagement and chip evacuation connect both paths. Each link names evidence to inspect.

    The cut closes the loop. A stiff cutter cannot compensate for a moving part, and rigid workholding cannot correct a damaged holder interface.
    Route suspected machine or spindle faults to authorized staff

    Route suspected machine or spindle faults to authorized staff

    After the cutter, holder, workholding, path and chips have been checked, a persistent symptom is evidence worth giving to authorized staff. Abnormal motion or a visibly damaged or contaminated interface also calls for that route. It does not prove one component failed. Do not remove covers, adjust bearings or gibs, or service a drawbar; manufacturer guidance treats those as separate checks for trained personnel.

    Check the holder, collet and cutter as one assembly

    Check the holder, collet and cutter as one assembly

    Confirm the correct holder and collet, complete seating, clean contact surfaces under the approved procedure, adequate shank engagement, and no visible damage. Compare tool and holder projection with the last stable setup. Inspect for wear, chipping, built-up material and chip damage. Check runout only with the approved instrument and method; compare it with the tool, holder and job requirements. See Mill Toolholders and Collets, End Mill Anatomy and Cutter Selection and Tool Stickout and Deflection.

    Check the fixture, workpiece and support

    Check the fixture, workpiece and support

    Check that the fixture is seated and secured, the work is against its locators, clamps direct force into supports, and the part is not perched or springing. A symptom confined to an unsupported end, thin wall or one clamping orientation points first toward support and force direction. Do not keep tightening until the part distorts. See Milling Vises and Strap Clamps.

    Check engagement, path and chip evacuation

    Check engagement, path and chip evacuation

    Compare where the pattern begins with changes in radial or axial engagement, entry and exit, cornering, cutter engagement, and chip evacuation. A clean straight wall followed by chatter in an inside corner is evidence to inspect the corner path and the sudden engagement change. Packed or re-cut chips call for the approved chip-control method and a review of the operation, not an automatic speed change. See Milling Operations and Cutting Fluids and Application Methods.

    It changed with a longer tool or holder

    It changed with a longer tool or holder

    Check: tool projection, holder projection, shank engagement and both interfaces. Next: restore the shortest permitted assembly that reaches the feature, then repeat the same cut conditions.

    Straight walls are clean; an inside corner chatters

    Straight walls are clean; an inside corner chatters

    Check: the engaged arc, chip load through the corner and programmed path. Next: use an approved path or engagement change, then compare the same corner again.

    Only an unsupported or thin area vibrates

    Only an unsupported or thin area vibrates

    Check: workpiece support, clamp-force path and local flexibility. Next: improve support or revise force direction without distorting the work; verify the setup before cutting.

    One edge is chipped or marks repeat once per revolution

    One edge is chipped or marks repeat once per revolution

    Check: edge condition, chip re-cutting, holder seating and runout. Next: correct the physical cause or replace the damaged tool before tuning speed.

    It persists after the student-controlled setup checks; Practice

    It persists after the student-controlled setup checks

    Check: after the cutter, holder and workholding are verified, ask whether the symptom still follows the same path, engagement or chip condition. Next: if it persists across different permitted cutting conditions, stop and give the complete evidence to authorized staff. It is evidence for inspection, not proof of a spindle fault.

    Practice chatter diagnosis

    Clear mechanical causes and unnecessary leverage first

    Clear mechanical causes and unnecessary leverage first

    1. Clear mechanical causes first. Verify seating, condition, projection, support and chip clearance. Do not use a parameter change to hide motion or damage.
    2. Reduce unnecessary leverage. Shorten the permitted tool and holder projection, improve support, or choose a more suitable assembly. Keep the required shank engagement and feature clearance.
    Review engagement and cutter geometry after the setup is sound

    Review engagement and cutter geometry after the setup is sound

    1. Review engagement and force direction. A smaller radial or axial engagement, different entry, or revised corner path may reduce the force variation. Stay inside the approved process and tool limits.
    2. Reconsider cutter geometry. Diameter, flute count and pitch, helix, edge geometry and material suitability can change force and excitation. Record the selected tool and why it was changed.
    Run one permitted speed trial

    Run one permitted speed trial

    A stable speed can be higher or lower. Change to one permitted speed, then compare the same feature. Do not assume that slowing down is always the answer.

    Review feed when speed changes

    Review feed when speed changes

    If the trial is intended to preserve feed per tooth, calculate the matching table feed rather than changing chip load accidentally. Too little feed can rub; excessive feed can overload the edge. Use Feeds and Speeds and the tool maker's data.

    Record the controlled result

    Record the controlled result

    Record the observation, the one intentional change and the result. If two settings move together to preserve a stated quantity such as feed per tooth, record both and the quantity held constant. That is one controlled trial, not two unexplained changes.

    Manufacturer references behind this diagnostic order

    Manufacturer references behind this diagnostic order

    Machining/Milling

    Vertical Mill Startup, Setup and Shutdown

    A Tormach-based sequence for preparing the machine, locating the part and tools, checking a path, and closing down.

    Use the checklist with the installed machine's procedure

    Use the checklist with the installed machine's procedure

    This checklist follows a Tormach vertical-mill workflow. Match each control, inspection method and tool-change step to the installed machine and controller. It is a setup reminder for trained users, not a substitute for instruction or the machine manual.

    The operating and hazard requirements live in Equipment Operating Procedure, Personal Protective Equipment, Machine Hazards and Housekeeping and Metal Chips and Swarf. Complete those requirements before using this sequence.

    Startup: inspect, power up, enable and reference the axes; Checklist

    Startup: inspect, power up, enable and reference the axes

    • Complete the pre-use requirements in Equipment Operating Procedure and Personal Protective Equipment.
    • Check coolant level and lubrication of the ways—the sliding guide surfaces—using the machine's maintenance procedure.
    • Complete the prescribed guard, emergency-stop and work-area checks in Equipment Operating Procedure and Machine Hazards and Housekeeping.
    • Confirm the machine and controller have power available. Turn on the controller computer, then the mill as directed by the installed-machine procedure.
    • Reset depressed emergency-stop controls after completing the prescribed checks, then use the machine's Start/enable control to activate its motor controllers.
    • When the controller is ready, reference (home) all installed axes by the machine's procedure. Confirm that referencing completed; homing has not set the part zero.
    Part and tool setup: seat, grip, locate and record; Checklist

    Part and tool setup: seat, grip, locate and record

    • Plan the datum faces, work zero, tool access and fixture clearance for the intended operations.
    • For a vise setup, clean and inspect the vise and part, remove raised burrs, and check the fixed-jaw alignment. See Milling Vises and Strap Clamps.
    • Fit parallels if needed. Snug the part, seat it with light dead-blow taps, tighten the vise and recheck seating.
    • For table clamping, have the support, locating and clamp arrangement checked against the job and installed procedure; confirm every intended contact is seated and every clamp is firm. Use strap-clamp geometry to review placement.
    • Choose the cutter and matching holder. For ER tooling, capture the collet in its nut, thread the assembly loosely, insert the shank with the planned reach, and tighten as specified. For a set-screw holder, align the designated shank flat and follow its seating method. See Mill Toolholders and Collets.
    • Install the holder using the procedure for the actual spindle and drawbar. For a manual drawbar arrangement, verify completion of its spindle-lock release and spindle-cover closure steps before operation; do not apply that sequence to a different retention system.
    • Set and verify tool lengths and the work offset using Mill Indicators and Part Zero. Confirm the active tool number, units and work coordinate system.
    Before cutting: verify the program or manual movement plan; Checklist

    Before cutting: verify the program or manual movement plan

    • Confirm cutter, spindle direction, speed, feed, width and depth of cut against the tool data and Feeds and Speeds.
    • For programmed work, load the intended program and check the displayed path, tools, offsets and limits. See G-code and Toolpaths.
    • Perform the approved air-cut or dry-run procedure with verified clearance. If that method changes offsets or modes, restore and verify them before cutting the part.
    • For manual movement, confirm the selected axis, direction, jog rate and increment. Use a low approach rate near a surface and incremental motion for fine positioning, as directed in the machine procedure. Select cutting feed from the tool data rather than treating a low approach rate as a cutting-feed prescription.
    • Complete the cutting-readiness checks in Equipment Operating Procedure, then perform the operation and its planned measurements.
    Shutdown: end operation, shut down the controller and restore the work area; Checklist

    Shutdown: end operation, shut down the controller and restore the work area

    • Finish the operation and complete the stopping and measurement requirements in Equipment Operating Procedure.
    • Follow the installed Tormach shutdown sequence. In this workflow: depress emergency stop, shut down the controller computer normally, then remove its power and turn off the mill.
    • Complete cleanup using Metal Chips and Swarf and Equipment Operating Procedure. Return tools and leave the work area ready for the next user.

    Use the machine-specific instructions for any required parking position, tool removal, lubrication or power sequence. These details vary with the machine and its options.

    Machining/Milling

    Milling Operations

    Make a part on a simulated vertical mill: choose each tool, move it through the metal, and check what is left against the drawing. Facing, shoulders, pockets, slots, drilled, tapped and bored holes, countersinks and chamfers.

    A vertical mill shapes a block with a turning tool moved in X, Y and Z

    A vertical mill shapes a block with a turning tool moved in X, Y and Z

    On a vertical mill the cutting tool turns in a spindle above the work. The work is clamped on the table, the table moves it front to back and side to side, and the tool comes down into it. Every shape the mill makes is the space the turning tool swept through.

    X and Y
    The two directions across the table. In this lesson X runs left to right as you face the machine and Y runs away from you, toward the back.
    Z
    Up and down, along the tool. Z+ is up, away from the work, so negative Z is below the finished top face. The raw top is at Z +1, so facing can remove metal at zero or positive Z while taking off that allowance.
    Readout
    The display that shows where the tool is, in X, Y and Z. A readout on a manual mill is often called a DRO, for digital readout. Here it shows the position of the tool’s tip.
    Work zero
    The point the readout counts from. In this lesson X 0, Y 0 is the front left corner of the block and Z 0 is the finished top face. Every dimension on the drawings is measured from those same edges and that same face.
    XYX0 Y0back jawfront jaw (operator side)block 100 × 60, finished 20 thickparallels under the part (hidden)Z +1.00 raw topZ 0.00 finished topZ −8.00 top of the jawsZ −20.00 bottom, on the parallels
    The setup used in every job: a block 100 × 60, finished 20 thick, held by its front and back faces in a vise and resting on two parallels, bars of equal height that lift it off the floor of the vise. The raw block stands 1 mm proud of the finished top. Below Z −8 the vise jaws are in the way at the front and back, and a hole drilled through along those edges would run into a parallel.

    On a real knee mill the table carries the work under a spindle that stays put in X and Y. In the simulator you move the tool instead. The readout tells the same story either way: where the tool’s tip is, measured from work zero.

    Each kind of tool cuts a shape of its own, and some cannot cut sideways

    Each kind of tool cuts a shape of its own, and some cannot cut sideways

    Face millØ50End millØ12 shownSpot andchamfer, 90°Drill, 118°Ø6.8 shownTapM8×1.25 shownBoring headset to Ø20
    The tools in the simulator, side on and at one scale, each with its tip on the same line. The darker part of each is the part that cuts.
    Face mill
    A wide body with cutting inserts round its rim. It is fed across the work to leave a broad flat face. The one in the simulator takes at most 4 mm in one pass. The inserts sit at the rim, not across the middle, so it is brought down beside the work and then fed in, never pushed straight down into the metal.
    End mill
    Cuts on its sides and its end. The end mills here are centre-cutting: their end teeth reach the middle, so they can be fed straight down into the metal and then moved across to cut pockets, slots, steps and walls. An inside corner they leave is rounded to the cutter’s own radius.
    Spot and chamfer tool
    A pointed tool with a 90° point. Fed down, it cuts a cone: the start of a hole, or a countersink round the mouth of one. Run along an edge, it bevels the edge, which is a chamfer.
    Drill
    Cuts only at its point, as it feeds down along its own axis. It leaves a round hole its own size, with a cone at the bottom from its point. It must never be pushed sideways in the metal.
    Tap
    Cuts a screw thread into the wall of a hole that is already there. It only goes straight in and straight back out.
    Boring head
    An adjustable single cutting point on an offset bar. Set to a diameter and fed down a hole, it opens the hole to that size. Its bar has no cutting edge at the centre, so it needs a hole to start in.

    This is a teaching rack, not a list of what to buy or use. The sizes are illustrative. A real cutter’s length, number of teeth and depth of cut come from its own data and from the person responsible for the machine.

    The tool’s centre runs one radius away from the wall it cuts

    The tool’s centre runs one radius away from the wall it cuts

    The readout shows where the centre of the tool is. The metal is cut by its edge. To leave a wall at a given place, put the centre one radius away from it, on the side being cut away.

    Worked example. A shoulder’s wall belongs at X 75, with the metal to the right of it cut away. A Ø12 end mill has a 6 mm radius, so its centre runs along X 75 + 6 = X 81. Run it along X 75 instead and the wall ends up at X 69, 6 mm too far into the part. That metal cannot be put back.

    • Inside corners take the cutter’s radius. A round tool cannot reach into a sharp inside corner, so a pocket’s corners come out rounded to the radius of the cutter that made them. A drawing that allows R4 at most calls for a cutter no bigger than Ø8.
    • Outside corners stay sharp. Going round the outside of a corner, the tool swings about it and never cuts into it.
    • A slot is the width of the cutter that made it in one pass. A cutter moved in a straight line leaves a groove exactly its own width, with round ends of its own radius.

    When a cutter cuts with its side, the metal is on one side of it or the other. With the cutter turning clockwise seen from above, metal on the cutter’s right as it moves is climb milling, and metal on its left is conventional milling. The simulator says which each side cut was. Climb and Conventional Milling explains the difference.

    Holes: drilled to size, threaded by a tap, opened up by a boring head

    Holes: drilled to size, threaded by a tap, opened up by a boring head

    A drill leaves a hole of its own diameter. A hole’s depth on a drawing is measured to where the hole stops being full size, not to the tip of the cone the drill point leaves below that.

    A tapped hole starts as a smaller drilled hole

    A tap cuts its thread into the wall of a hole, so the hole has to be drilled smaller than the thread first, to the tap drill size. For the common metric coarse threads that size is close to the thread’s outside diameter minus its pitch, the distance from one thread to the next:

    Tap drill ≈ thread diameter − pitch. M6×1: 6 − 1 = Ø5.0. M8×1.25: 8 − 1.25 = Ø6.75, drilled Ø6.8.

    Drilled too small, the tap has to cut too much metal and can break. Drilled too big, the thread is shallow. The simulator checks the hole against a simplified minor-diameter band and refuses a severely undersize pilot. This does not establish functional thread fit: pitch diameter, thread form and a real thread gauge are separate checks.

    Drill deeper than the thread you need

    The first few threads of a tap are ground away to a taper so that it can start in the hole. Those threads cut only part of a thread, so full thread stops short of the tap’s tip. In a hole with a bottom, the tap has to go deeper than the full thread you need, and the drilled hole deeper again, past the drill’s point. This simulated tap has a 4-pitch cutting chamfer; real taps vary. The job calls for full thread reaching Z −10 from the finished face. Its countersink removes the first part of the thread, so that is not 10 mm of surviving full-thread length.

    Sizes no drill gives

    Drills come in fixed sizes. A boring head is set to the size you need and fed down a hole already big enough for its bar, which makes it the tool for a hole of an exact, larger size.

    Simulator: make the part on the drawing, then inspect it; Interactive

    Simulator: make the part on the drawing, then inspect it

    AASECTION A–A752560620
    Job 1: Face the top, then cut a shoulder. Face the top flat at Z 0.00, then mill a shoulder 25 mm wide and 6 mm deep across the right-hand end.
    AASECTION A–A15304015182430POCKET 6 DEEP4× R4 MAX2× Ø6.6 THRU
    Job 2: A pocket with tight corners, and two clearance holes. Face the top, mill a 40 × 24 pocket 6 deep whose inside corners are no rounder than R4, and drill two Ø6.6 holes right through.
    AASECTION A–A1530401530SLOT 10 WIDE, 5 DEEPFULL ROUND ENDS2× M6×1-6HFULL THREAD 10 DEEPCSK Ø7 × 90°
    Job 3: A slot and two tapped holes. Face the top, mill a slot 10 wide with full-round ends, and make two countersunk M6×1 holes whose full thread reaches Z −10 or deeper, measured from the finished face.
    AASECTION A–A25501530305Ø20.00 ±0.05 THRU1 × 45°4 EDGES
    Job 4: A boss with a bored hole and chamfered edges. Face the top, mill away everything round a 50 × 30 boss so it stands 5 high, bore a Ø20.00 hole through it, and chamfer its top edges 1 × 45°.

    Start by examining the finished Target, then choose a tool and cut Your work. In Compare, gold is metal still to remove and striped red-orange is metal cut past the drawing. The inspection measures the part that is left after every move. Nothing checks which tools you used or in what order: any way of making the right part passes.

    How to drive it. Target shows the finished nominal part; Your work shows the block you are making. Compare marks what still needs work, using the drawing’s allowed limits. In Inspect / orbit, dragging and the arrow keys move only the camera. Home restores the view; the View list also offers top, front, below and 2D sections.

    Choose a tool and its size, then choose Feed X, Feed Y or Feed Z to drag its tip along that machine axis. The path previews while you drag; releasing starts the feed. Place XY places the centre at the current Z. In these feed modes the arrow keys move the selected machine axis. To go to an exact place, type X, Y and Z under Move to and press Move; the tool goes up before it goes across, and across before it goes down. The handwheel buttons and the selected-axis keys move one step at a time. A move that would break a tool or hit the vise stops where it would happen, and says why. Undo takes back the last move: the one thing a real mill cannot do.

    Things to try in the simulator; Checklist

    Things to try in the simulator

    • In job 1, load the face mill, move it over the block and try to lower it straight onto the metal. Read why it stops.
    • Lower the face mill to Z 0.00 beside the block and drag it across. Watch the top view and the sections: the raw top is 1 mm above Z 0. Overlap a second pass until the top face check matches.
    • Cut the shoulder with the Ø12 end mill with its centre on X 75 instead of X 81. Read the inspection, then use Undo and cut it again in the right place.
    • In job 2, clear the pocket with the Ø12 end mill and read what the inspection says about its corners. Undo, and clear it with a smaller cutter.
    • Watch the gold as you cut: it is metal the drawing does not keep. Cut one pass a little too deep and see where the striped red-orange appears in the top view and the section.
    • In job 3, try to tap a hole you drilled with the Ø6.0 drill, then one you drilled with the Ø4.2. Then drill Ø5.0 only 10 mm deep and tap it as deep as it will go. How much full thread do you get?
    • In job 4, try the boring head before there is any hole. Then drill one first.
    • Make one part two different ways, for example job 4 with the face mill doing the area round the boss, and again with an end mill. Both pass.
    What the simulator leaves out

    What the simulator leaves out

    The 3D target is a nominal guide sampled at 0.25 mm in X and Y. Its flat floors have the drawing’s depth; its small curved outlines are approximations. The cut surface is derived separately from the analytic tool paths. Neither picture is a dimensional gauge: inspection uses the drawing’s allowed limits, including smaller corners where the drawing says R4 max. Complex conical histories or very long cut histories switch to 2D sections to keep the controls responsive. The work is kept, and Undo or a fresh block can restore the 3D view.

    The simulator is a model of where metal is and where tools can reach. It does not check speeds, feeds, forces or finish, and passing a job here says nothing about whether a real setup could take the same cuts. Feeds and Speeds is about those numbers.

    • Only straight down and straight across. The tool axis is always vertical and nothing is undercut, so every shape is a height above each point of the table.
    • Tools are exact and rigid. A hole is exactly the drill’s size, a cutter never bends or wears, and edges come out without burrs.
    • Threads are recorded, not drawn. The simulator keeps the size of the hole a thread was cut in and how deep its full thread runs, and checks that later cuts have not taken the metal it is in. It does not model the thread’s form or fit.
    • No chips, coolant or heat, and no limit on depth of cut except where a tool’s cutting edges run out.

    Supporting detail: Addendum 52 — How the inspection decides, and what its numbers are.

    Machining/Milling

    G-code and Toolpaths

    How a CNC mill reads a program line by line: rapid and feed moves, absolute and incremental coordinates, units, arcs and a drilling cycle. Build a program from blocks and watch it cut a simulated block.

    What is G-code?

    What is G-code?

    A CNC mill moves its tool by reading a program from the top down, one line at a time. The language most mills read is called G-code. Each line holds a few words, and together they say where the tool goes next, how fast, and what the spindle and tool are doing.

    Start with CNC Control Fundamentals for the control and machine types, CNC Axes and Offsets for coordinate references, and CNC Program Structure for common Fanuc-style milling codes. G- and M-code meanings vary by control. The simulator below uses its own documented subset; check the machine's manual for real programs.

    Word
    A letter and a number, such as X20, G1 or F300. The letter says what the number means: X, Y and Z are positions, F is the feed rate, S the spindle speed, T a tool number. G and M words are codes that choose what kind of move or machine action the line is.
    Block
    One line of the program. Machinists often call a line a block; in the simulator below, each block you snap into place is one line of G-code, with the same number.
    Work zero
    The point the program’s numbers count from. Here, as in Milling Operations, X 0, Y 0 is the front left corner of the block and Z 0 is its finished top face. The uncut stock starts at Z +1. Positions refer to the tip of the tool, on its centre line: Z −3 is 3 mm below work zero and 4 mm below that raw top. A pointed drill reaches its programmed Z at its tip; the full-diameter hole is shallower.
    Modal
    Most codes stay in force until another code from their group replaces them. After a G1, a line with only X80 is still a G1 move; a feed rate set with F remains available until changed. Not every word is modal. For ordinary G0/G1 moves, an omitted axis stays in place; it does not repeat the preceding incremental displacement.

    A first cut: one slot

    1. (A first cut: a closed-ended slot)
    2. G21 G90 G17
    3. T1 M6
    4. S2500 M3
    5. G0 X10 Y30
    6. G0 Z2
    7. G1 Z-3 F100
    8. G1 X90 F300
    9. G0 Z20
    10. M5
    11. M30
    05010003060XYX0 Y0startTOP VIEWback vise jawfront vise jawZ +20Z +10Z 0Z −10Z −20jaw topFRONT VIEW, CUT THROUGH THE BLOCK AT Y 30.0Cut depthZ 0−5−10−15−20throughfeed (G1, G2, G3): cutsrapid (G0): through the air
    A first cut: one slot. Mill a closed-ended slot 10 mm wide to Z−3 with a Ø10 end mill. The raw top is Z+1, so the cut is 4 mm deep. Lift clear and stop. The program on the left, numbered line by line, and the block after it has run. Solid lines are feed moves, dashed lines are rapids; the darker the cut, the deeper it goes.

    Read the program above from the top. Line 2 sets millimetres, absolute positions and the XY plane. Line 3 puts tool 1, a Ø10 end mill, in the spindle, and line 4 starts the spindle at 2500 rpm. Lines 5 and 6 move the tool through the air to just above the start of the slot. Line 7 feeds it to Z −3, cutting 4 mm below the raw top at Z +1. Line 8 feeds it along the closed-ended slot, and line 9 lifts it clear. Line 10 stops the spindle and line 11 ends the program.

    Rapid moves put the tool in place through the air; feed moves cut

    Rapid moves put the tool in place through the air; feed moves cut

    • G0 is a rapid move. The control uses its rapid positioning rate, subject to machine limits and applicable overrides. It is for getting the tool to where a cut starts, through the air, never for cutting.
    • G1 is a feed move. The tool moves in a straight line at the feed rate set by F, here in millimetres per minute. It can cut or feed through air.
    • The spindle has to be turning first. S sets its speed in revolutions per minute, M3 starts it turning clockwise seen from above, and M5 stops it. T1 M6 changes to tool 1.
    • A move goes in one straight line. G1 X80 Y40 Z-2 moves all three axes together and they all arrive at once. An axis left out of the line stays where it is: G1 X80 moves along X only.

    A rapid into metal is a crash: the tool arrives at full traverse speed with nothing to say it should be cutting. The simulator stops a rapid at the point where it would touch the block and says so. It does the same if a feed move reaches the metal with the spindle stopped.

    This simulator moves a rapid in one straight line, the way the LinuxCNC G-code reference describes G0. Controls differ in how they move during a rapid, so check how the one you use moves before you count on the path a rapid takes.

    G90 and G91, G20 and G21: two modes that change what every number means

    G90 and G91, G20 and G21: two modes that change what every number means

    G90, absolute
    A number is a position, measured from work zero. With the tool at X 10, G1 X30 moves it to X 30.
    G91, incremental
    A number is a distance from where the tool is now. With the tool at X 10, the same G1 X30 moves it 30 mm, to X 40.
    G21, millimetres
    X30 means 30 mm and F300 means 300 mm per minute with the simulator's G94 feed mode.
    G20, inches
    The same X30 means 30 inches, which is 762 mm, and, with G94, the feed rate is in inches per minute. A millimetre program read in inches asks for moves 25.4 times as long.

    Because these modes change the meaning of every line after them, a program sets both near its start, before the first move. The simulator insists on it: a move before G20 or G21 and G90 or G91 have been set stops the program, and so does a change of units after the machine has started moving.

    Work through a point list in Absolute and Incremental Positioning. Units and feed mode are separate settings; G95, where supported, uses feed per spindle revolution.

    G2 turns clockwise and G3 counterclockwise, seen from above; Practice

    G2 turns clockwise and G3 counterclockwise, seen from above

    An arc move cuts along part of a circle in the XY plane (G17) at the feed rate. Its direction is the way it turns as seen looking down on the work from above: G2 clockwise, G3 counterclockwise. The line gives the arc’s end point with X and Y, and its centre in one of two ways.

    • I and J say where the centre is, measured in X and Y from the point where the arc starts. That is the usual mode, G91.1, and it holds even while G90 makes every X and Y a position. G90.1 makes I and J a position too in this simulator. Those decimal codes are not universal; check the control's centre-mode rules.
    • R gives the radius instead, and the control works out the centre. A positive R selects an arc of up to half a turn, a negative R the longer way round in the convention used here. An R arc cannot be a full circle, because a circle through one point has no single centre; a full circle uses I and J with its end point the same as its start.

    Worked example. The tool is at X 72, Y 15, moving right along the bottom of an outline. G3 X80 Y23 I0 J8 puts the centre 0 in X and 8 in Y from the start, at X 72, Y 23. Turning counterclockwise about it, the tool rounds a corner of radius 8 and ends heading up the right-hand side at X 80, Y 23. The end point has to lie on the circle: change J8 to J6 and the start radius is 6 mm while the end radius is √(8² + 2²) = √68, about 8.246 mm, so the simulator stops at that line instead of guessing.

    A radius-10 quarter arc from A 12,8 to B 22,18 around C 12,18 uses G03 I0 J10. Reversing from B to A uses G02 I-10 J0.

    In the diagram, absolute endpoints and start-relative centres give G03 X22 Y18 I0 J10 from A to B, then G02 X12 Y8 I-10 J0 back to A. Each start point needs its own centre offsets. Radius format can instead use G03 X22 Y18 R10 for the first arc under the stated convention.

    G17 uses X/Y and I/J; G18 uses X/Z and I/K; G19 uses Y/Z and J/K. I, J and K correspond to centre components along X, Y and Z. Judge arc direction looking from the positive normal axis toward the plane: +Z for XY, +Y for XZ, +X for YZ. The simulator supports XY arcs only.

    Practice quarter arcs

    Arcs: a rounded outline

    1. (Groove around a rounded rectangle)
    2. G21 G90 G17
    3. T2 M6
    4. S3000 M3
    5. G0 X28 Y15
    6. G0 Z2
    7. G1 Z-1.5 F80
    8. G1 X72 F250
    9. G3 X80 Y23 I0 J8
    10. G1 Y37
    11. G3 X72 Y45 I-8 J0
    12. G1 X28
    13. G3 X20 Y37 I0 J-8
    14. G1 Y23
    15. G3 X28 Y15 I8 J0
    16. G0 Z20
    17. M5
    18. M30
    05010003060XYX0 Y0startTOP VIEWback vise jawfront vise jawZ +20Z +10Z 0Z −10Z −20jaw topFRONT VIEW, CUT THROUGH THE BLOCK AT Y 15.0Cut depthZ 0−5−10−15−20throughfeed (G1, G2, G3): cutsrapid (G0): through the air
    Arcs: a rounded outline. With a Ø6 end mill, follow a 60 × 30 rounded rectangle with R8 corners at Z−1.5. The groove is 2.5 mm below the raw top, Z+1. Four G3 arcs turn the corners. The program on the left, numbered line by line, and the block after it has run. Solid lines are feed moves, dashed lines are rapids; the darker the cut, the deeper it goes.
    A drilling cycle packs a whole hole into one line

    A drilling cycle packs a whole hole into one line

    G81 X15 Y15 Z-8 R2 F120 drills a hole at X 15, Y 15. The tool moves there at rapid, comes down at rapid to R, the height just above the work where feeding begins, feeds down to Z, the drill-tip depth, and rises back up at rapid.

    • How high it rises. In this simulator G99 rises to R between holes, and G98 rises to the height the tool was at when the cycles began, or to R if that is higher. The simulator needs one of the two before the first G81.
    • The cycle is modal. After a G81, a line with only X or Y drills another hole with the same depth, R and feed. G80 ends the cycle; after it, a line with only X or Y is an error until a G0 or G1 says how to move.
    Without cutter compensation, program the tool centre path

    Without cutter compensation, program the tool centre path

    With cutter compensation off, as in this simulator, X and Y describe where the centre of the tool goes. The metal is cut by its edge, one radius further out. A Ø10 end mill fed along Y 30 cuts a slot from Y 25 to Y 35. To leave a wall at X 80 with the metal beyond it cut away, the centre runs along X 85. Milling Operations works through the same rule for a shoulder and a pocket.

    Controls can do that offset for you with cutter radius compensation, G41 and G42. The simulator does not model it, so every program here is written as the path of the centre, and a line with G41 or G42 stops with a message. CNC Axes and Offsets explains left/right compensation and tool-length offsets.

    Simulator: build a program from blocks and watch it run; Interactive

    Simulator: build a program from blocks and watch it run

    Pick a program, change it, and run it on a simulated block of metal in a vise. Every block is one line of G-code; the same interpreter reads it whether you build it from blocks or type it, and the machine runs exactly what it reads.

    How to drive it. Press a block in the program to open it and change its numbers; leave a number empty to leave that word out of the line. Add a block from the row above the program, either by pressing it, which puts it after the open block, or by dragging it into place. Drag a block by its handle to move it; with the keyboard, focus the handle and press Alt with ↑ or ↓. Play runs the program, Step runs one block and stops, Back goes back one block and Restart starts again with fresh stock. The block that is running is outlined in gold, and its move is drawn in gold on the views; press a move in the top view to open the block that makes it. Any change to the program puts the simulation back to its start, so it always shows the program as it now is.

    Holes: a drilling cycle

    1. (Four holes with a drilling cycle)
    2. G21 G90 G17
    3. T3 M6
    4. S1500 M3
    5. G0 X15 Y15
    6. G0 Z10
    7. G98 G81 X15 Y15 Z-8 R2 F120
    8. X85
    9. Y45
    10. X15
    11. G80
    12. G0 Z20
    13. M5
    14. M30
    05010003060XYX0 Y0startTOP VIEWback vise jawfront vise jawZ +20Z +10Z 0Z −10Z −20jaw topFRONT VIEW, CUT THROUGH THE BLOCK AT Y 45.0Cut depthZ 0−5−10−15−20throughfeed (G1, G2, G3): cutsrapid (G0): through the air
    Holes: a drilling cycle. Drill four Ø6 holes with the tip reaching Z−8: 9 mm below the raw top, Z+1. Full-diameter depth is shorter because of the drill point. G81 drills the first hole; X or Y lines repeat it until G80. The program on the left, numbered line by line, and the block after it has run. Solid lines are feed moves, dashed lines are rapids; the darker the cut, the deeper it goes.
    Things to try in the G-code simulator; Checklist

    Things to try in the G-code simulator

    • Step through the slot program one block at a time. Watch the machine state change at blocks 2, 3 and 4 before anything moves.
    • Make the slot deeper and shorter, then run it again. Which numbers did you change?
    • Drag the Spindle on block below the first feed move, and read why the machine stops.
    • Open block 7 of the slot program and switch it from G1 to G0. What does a rapid do when it meets the metal?
    • Change the slot program to G91. Before you press Play, work out where its first move will go.
    • In the arcs program, swap one G3 for a G2, and see which way that corner turns now.
    • In the holes program, try G99 instead of G98, then add a fifth hole.
    • In the G-code text, type a line the simulator does not read, such as G41 or M7, and read what it says.
    What the simulator reads, and what it leaves out

    What the simulator reads, and what it leaves out

    The simulator reads a small part of G-code, modelled on the way the LinuxCNC control reads it. Any other code, or a line that is not G-code at all, stops the program at that line with a message saying what is wrong. Nothing is skipped.

    Motion
    G0 rapid, G1 feed, G2 and G3 arcs in the XY plane, G81 drilling cycle and G80 to end it.
    Modes
    G17 XY plane, G20 inches, G21 millimetres, G90 absolute, G91 incremental, G90.1 and G91.1 for I and J, G94 feed per minute, G98 and G99 for the drilling cycle. G40, G49 and G54 are read as the settings the simulator always has: no cutter compensation, no tool length offset, and its one work offset.
    Machine
    M3 spindle on, M5 off, M6 tool change, M8 and M9 coolant on and off (shown, with no effect on the cut), M2 or M30 program end: stops spindle and coolant, restores G90 and G1, and leaves the tool at its last position.
    Words
    X Y Z positions, I J arc centre, R arc radius or drilling R plane, F feed rate, S spindle speed, T tool, N line number, and comments in brackets or after a semicolon.
    Tools
    T1 Ø10 end mill, T2 Ø6 end mill, T3 Ø6 drill, T4 Ø12 spot and chamfer tool, T5 Ø50 face mill: the tools of Milling Operations, with the same rules about what each can cut.
    • Some rules are the simulator’s own. It needs units and distance mode set before the first move, a speed before M3, G98 or G99 before a drilling cycle, and, for a tool change, the spindle stopped and the tool at Z +20 or higher. A real control may be less strict, or strict about different things.
    • Only straight down and straight across, through metal. The block is modelled as a height above each point, so the tool can cut moving along Z alone, or in X and Y at one height. A move in X or Y and Z at once is followed exactly through the air, but stops if it would reach the metal: ramping and helical moves are not modelled.
    • Arcs are cut as short straight chords, each within 0.01 mm of the true arc. They are drawn as true arcs.
    • Simple timing. Feed moves run at their F and rapids at 5000 mm per minute, with no acceleration, no blending of one move into the next, and no time for tool changes.
    • Not a check of a real program. The speeds and feeds in the examples are round teaching numbers, not cutting recommendations; Feeds and Speeds is about choosing them. A program that runs here has met only this simulator’s rules. Controls differ in the codes they accept, in their starting modes and in how they change tools, so a program for a real machine is checked against the manual for its control. See CNC Programming and Prove-Out for graphics, dry run, single block and overrides; follow Equipment Operating Procedure for machine use.

    Supporting detail: Addendum 53 — How the simulator reads and runs a program.

    Machining/Milling

    Climb and Conventional Milling

    Climb and conventional milling name the cutter's rotation relative to the feed; that relationship changes chip formation, force direction, chip evacuation and the importance of backlash.

    Climb versus Conventional Milling

    Climb versus Conventional Milling

    A milling cutter turns while the work and cutter move past each other. At the part of the cutter that is making the cut, climb milling means the cutting edge moves in the same direction as that relative feed; conventional milling means it moves against the feed. Those two relationships are the whole distinction—not a universal left or right direction on the machine.

    Climb milling
    Also called down milling. Where a tooth is cutting, it moves the same way the work is fed. Each chip starts thick and ends thin.
    Conventional milling
    Also called up milling. Where a tooth is cutting, it moves against the feed. Each chip starts thin and ends thick.

    Feed per tooth, width of cut (radial engagement) and axial depth of cut are defined together on Feeds and Speeds. This page uses them only to show what changes when the direction changes.

    How to read the drawings on this page. Each drawing is a slice straight across the fluted part of an end mill, seen looking down its axis from the spindle; the small side view in the corner marks where the slice is taken, the way a section view does on a drawing. This sketch places the cutter’s axis horizontally, with the table below it; screen-down is toward that table. It is not a top view of a vertical spindle. From the spindle end a standard right-hand cutter turns clockwise. The cutter stays where it is and the work is fed past it, the way a mill table carries the work. Every Work feed arrow is the work’s motion. On a machine that moves the cutter instead, nothing changes: the cutter simply travels the opposite way to that arrow.

    The cutter is the same in both modes and spins the same way. What switches climb to conventional is the direction of feed relative to the side of the cutter that is doing the cutting. The down/up force arrows belong to this horizontal arrangement. A top view of a vertical end mill would show forces across the table, not axial force into or away from it.

    Climb and Conventional Milling Lab; Interactive

    Climb and Conventional Milling Lab

    The dashed gold outline is the slice of metal the cutting tooth has taken so far, drawn where it was. The solid gold shape is that metal as a chip, curling off the cutting edge into the flute. The curled chip is scaled to fit the flute at this exaggerated feed; its drawn size is not a thickness measurement. Play it, or drag the tooth through the cut, and use the dashed slice to compare thickness.

    Work feedturns clockwiseslice seenfrom spindleEnters thickLeaves thinClimb millingChip runs thick to thin
    Work feedturns clockwiseslice seenfrom spindleLeaves thickEnters thinConventional millingChip runs thin to thick
    peak 87% of feed per toothtooth enterstooth leavesposition through the cutslice0ClimbConventional
    Both cutters turn clockwise, and each cutting tooth is about a third of the way through its cut. In climb milling the work feeds left and the tooth has already taken the thick end of its chip. In conventional milling the work feeds right and the tooth is still in the thin end. The graph says the same thing as a line: climb runs down from its peak, conventional rises to it. The feed per tooth is drawn many times larger than it would be on a machine so the chip can be seen at all. The dashed outline is the slice as the tooth cut it; the solid chip is the same metal curled into the flute.
    Six things to try in the demo; Checklist

    Six things to try in the demo

    • Choose Compare both and step until each tooth has only just entered the work. Which chip is already thick, and which is barely there?
    • Drag Tooth position in the cut from 0% to 100%, once in each mode. Watch the uncut-thickness readout: in climb it runs down from the peak, in conventional it runs up to it.
    • Set the width of cut to 50%. The tooth now cuts through a quarter of a turn and the chip reaches the full feed per tooth. Drop it to 10%: the peak falls to 60% of the feed. At the same feed, a narrower cut makes a thinner chip.
    • Raise the feed per tooth and watch the dashed uncut slice grow thicker. Its thick-to-thin trend stays the same. The curled chip is scaled to fit the flute and may stop growing on screen; compare thickness using the dashed slice.
    • Follow one chip from start to finish. Pause just before a tooth leaves the work, then step forward. In which mode is the thick end of the chip at the curled tip, and in which is it still on the edge? Where does each chip go once it is free?
    • Watch the red-orange arrow, the pull of the cut on the work. In climb it pulls the work the way it is already going and presses it down. In conventional it pushes back against the feed and lifts. Keep that in mind for the card on backlash.
    Chip Forming Characteristics

    Chip Forming Characteristics

    A chip does not stay where the slice was. The cutting edge shears it off the work, it slides along the face in front of the edge and curls into the flute, and the flute carries it round until it is thrown clear. The drawings compare chip paths in the cross-section of this horizontal-cutter setup; they do not predict a universal chip-flight direction.

    Swipe the four moments sideways on a narrow screen, or focus the drawing and use the arrow keys to scroll.

    Climb milling1 Forms on the edge2 Finished as it leaves3 Carried out4 Thrown clearConventional milling1 Forms on the edge2 Finished as it leaves3 Carried out4 Thrown clear
    One chip from each direction, at four moments. In climb milling the chip is finished at the finished surface, where the tooth leaves the work, and the end that curled furthest is its thick end. It is thrown out behind the cutter, over the surface that has already been cut. In conventional milling the chip is finished at the top of the cut with its thick end still on the edge, and this cross-section carries it toward the uncut side.

    Reading the cutter

    • Cutting edge: the tip of each tooth, the only part that touches the finished surface. The tooth that is cutting is outlined in blue.
    • Rake face: the face just in front of the edge. The chip slides along it as it forms.
    • Flute: the curved valley in front of each tooth. The chip curls in it and is carried out of the cut in it, so a flute packed with chips cannot take the next one.
    • Core: the solid centre, hatched because the drawing cuts through it. In this illustrated family, more flutes leave a thicker core and less room for chips. Actual proportions depend on the tool design.

    The chip is drawn shorter and thinner than the slice so it fits the flute at a feed drawn many times too large. A continuous metal chip usually becomes shorter and thicker through deformation; IIT Kharagpur’s chip-formation lesson explains the change. The path it takes is illustrative. Actual chip motion depends on the rotation/feed relationship, engagement, flute helix and chip space, material and chip-breaking geometry, and coolant or air delivery. Helical flutes can also move chips along the cutter axis; this in-plane drawing does not show that axial evacuation. The cutter’s flutes and chip space follow Harvey Performance’s end mill anatomy.

    Starting thin means rubbing; starting thick means a bite

    Starting thin means rubbing; starting thick means a bite

    A real cutting edge has a rounded tip. When the uncut layer is extremely thin, the edge can push and rub the metal before a chip forms. The peripheral cuts shown here make that difference visible.

    • Conventional milling starts every chip at zero, so every tooth rubs before it bites. Rubbing makes heat and wears the edge. Look at where the tooth enters, too: on the finished surface, the one you are keeping.
    • Climb milling starts the chips shown here at their thickest, so the tooth bites at once, with a knock each time a tooth enters.

    That is the main reason climb milling is often the preferred direction when the machine can hold the work steady against it. Whether it can is the next card.

    Supporting detail: Addendum 54 — When a rough or hard exterior can change the choice.

    Which way the cut pulls on the work

    • Climb: the teeth drag the work along the way it is already being fed, and tend to push it down onto the table in the peripheral arrangement shown.
    • Conventional: the teeth push back against the feed and tend to lift the work in this arrangement, so whatever holds the work has to resist that lift.
    Backlash: why climb milling depends on the machine; Watch out

    Backlash: why climb milling depends on the machine

    A feed screw moves the table by turning inside a nut. Unless the drive is built to take it out, there is some clearance between the screw’s thread and the nut. That clearance is called backlash, and it lets the table shift a little while the screw stands still.

    ConventionalThe cut pulls against the feed: the nut stays on the driving flank.Table feedTablefeed screwgappull of the cutClimbThe cut pulls with the feed: the nut can jump the gap.Table feedTablefeed screwgappull of the cut
    The clearance is drawn far larger than it is, and a real drive engages many turns of thread, not one. What matters is which side of the gap the nut ends up on.
    • Conventional: the cut pushes the table back, against the feed. That holds the nut against the flank of the thread the screw is driving with, so the gap stays on the far side and the table moves only as fast as the screw turns.
    • Climb: the cut pulls the table forward, the way it is already moving. If there is clearance, the table can slide across it ahead of the screw, and the cutter takes a bigger bite than the feed was set for, all at once. That sudden, oversized bite is hard on the cutter and on whatever is holding the work.

    This is a question to ask about a machine, not a rule. How much clearance a feed drive has, and whether it is built to take it out, differs from machine to machine. This page does not tell you which direction to use on any machine you will meet. Ask the person responsible for that machine.

    Supporting detail: Addendum 55 — Why some machines climb mill without trouble.

    A slot is both at once

    A slot is both at once

    When the cutter is buried across its whole width, cutting a slot, each tooth enters at one wall and leaves at the other. Its chip starts thin, is thickest halfway across, and ends thin. The first half of the sweep moves against the feed, like conventional milling, and the second half moves with it, like climb milling, whichever way the work is fed. That is why the demo stops at half the cutter’s diameter: past that point the two can no longer be pulled apart.

    Engineering Fundamentals/Power Transmission

    Backlash and Lost Motion

    After a feed screw reverses, the handwheel turns through the thread clearance before the carriage moves. Predict that dead band from clearance and lead, and finish every approach in one direction.

    The dial counts screw rotation; the indicator finds the carriage

    The dial counts screw rotation; the indicator finds the carriage

    A handwheel dial does not measure the carriage. It counts how far the screw has turned and multiplies by the lead. That is the carriage's travel only while the screw keeps pushing the nut in one direction.

    A screw and its nut need some clearance between their thread flanks (a flank is the sloping side of a thread). After the screw changes direction, it must turn through that clearance before its other flank meets the nut and the carriage moves again. That clearance is backlash, the same idea defined for threads in Screw Threads and for gear teeth in Gear Drives and Tooth Geometry. The turn spent crossing it is lost motion: input that produces no output.

    • Dial reading: travel predicted from screw rotation, turns × lead. See Lead Screws.
    • Carriage position: where the carriage really is, as an indicator touching it would show.
    • The difference is zero after a forward approach (the direction the dial was zeroed in) and one full clearance after a reverse approach.

    Supporting detail: Addendum 56 — Where the definition comes from.

    Experiment: reverse the handwheel and watch the carriage wait; Interactive

    Experiment: reverse the handwheel and watch the carriage wait

    What the lab does: a handwheel turns an axially fixed lead screw. The dial reports travel calculated from screw rotation; an indicator on the carriage reports where the carriage really is. With a total axial clearance B between screw and nut flanks, the two agree only while the screw keeps pushing in the direction the dial was set in.

    Dead band after a reversal = clearance ÷ lead, as a fraction of a turn:

    angle = 360° × B ÷ L   dial divisions = B ÷ (L ÷ 100) on a dial with 100 divisions per turn.

    Worked example: lead L = 5 mm/rev, so one division is 0.05 mm. Clearance B = 0.20 mm. Angle = 360° × 0.20 ÷ 5 = 14.4°; divisions = 0.20 ÷ 0.05 = 4. For four divisions after the reversal the dial changes and the carriage does not.

    Handwheel dial reading 0.80 mm: 0 turns and 16 divisions of 0.05 mm.01020304050607080900.80mmIndicator on the carriage reads 1.00 mm.01020304050607080901.00mm
    Driven forward to 1.00 mm, then reversed four divisions: the dial reads 0.80 mm (the shaded graduations passed under the index) while the indicator still reads 1.00 mm. Illustrative dial, lead 5 mm, clearance 0.20 mm.
    Hysteresis loop: carriage position against dial reading. The band between the forward-approach line and the reverse-approach line is 0.20 mm wide along the dial axis. Current dial 1.00 mm, carriage 1.00 mm.−0.30.00.30.50.81.01.3−0.30.00.30.50.81.01.3B = 0.20 mmDial reading from screw rotation (mm)Carriage from indicator (mm)forward approach: carriage = dialreverse approach: carriage = dial + B
    Forward 0 → 1.00 mm, back to 0, forward to 1.00 mm again. Each reversal runs along a flat step 0.20 mm long, so the path is a loop B wide measured along the dial axis.
    Axial section through the thread, drawn riding on the carriage. Screw flank pushing the nut toward +X. To scale: lead 5 mm, clearance 1.00 mm (illustrative 30-degree thread form).+X →Screw flank pushing the nut toward +Xbronze nut, moves with the carriagesteel screw, turns but never slidesDriving forward · To scale: lead 5 mm, clearance 1.00 mmAxial section through the thread, drawn riding on the carriage. Nut held in the clearance: no flank touching. To scale: lead 5 mm, clearance 1.00 mm (illustrative 30-degree thread form).+X →Nut held in the clearance: no flank touchingbronze nut, moves with the carriagesteel screw, turns but never slidesReversed part way · To scale: lead 5 mm, clearance 1.00 mmAxial section through the thread, drawn riding on the carriage. Screw flank pushing the nut toward −X. To scale: lead 5 mm, clearance 1.00 mm (illustrative 30-degree thread form).+X →Screw flank pushing the nut toward −Xbronze nut, moves with the carriagesteel screw, turns but never slidesDriving back · To scale: lead 5 mm, clearance 1.00 mm
    The same three moments in the thread, drawn to scale for lead 5 mm and clearance 1.0 mm (the exaggerated clearance of the 3D model). The heavy blue line marks the flank in contact. Reversing moves the contact from one flank to the other; between the two, nothing pushes the carriage.

    Landing on 25.00 mm after overshooting to 25.60 mm (lead 5 mm, clearance 0.20 mm). The dial was zeroed after a forward approach, so it equals the carriage position only for forward approaches:

    Same dial number, two approaches.
    MethodDial movesDialCarriageError
    Reverse straight to the number25.60 → 25.00 mm25.00 mm25.20 mm+0.20 mm
    Back past it, approach forward again25.60 → 24.50 → 25.00 mm25.00 mm25.00 mm0.00 mm

    Reversing straight to the number stops the carriage one full clearance away from the dial reading, still on the overshoot side: the dial shows 25.00 mm while the carriage is at 25.20 mm. Backing past the target by more than the clearance and finishing in the original direction puts the screw back on the flank the dial was set against.

    Model limits: rigid parts and a kinematic dead band only. Friction is assumed to hold the carriage still inside the clearance, and nothing else pushes it along the axis; there is no force, stiffness, preload or stick-slip model. Lead, clearance and the 3D dimensions are illustrative and exaggerated, not a standard thread or a measured machine.

    Predict the dead band: clearance divided by lead, as a fraction of a turn

    Predict the dead band: clearance divided by lead, as a fraction of a turn

    Once the screw reverses, the carriage stays still until the screw's helix has moved one full clearance B. One turn moves the helix one lead L, so the dead band is B ÷ L of a turn.

    dead-band angle = 360° × B ÷ L

    dead-band divisions = B ÷ (value of one division); with 100 divisions per turn, one division is L ÷ 100.

    Same clearance, two leads (illustrative values, 100-division dial).
    Lead LOne divisionClearance BDead band
    5 mm/rev0.05 mm0.20 mm4 divisions = 14.4°
    2 mm/rev0.02 mm0.20 mm10 divisions = 36°

    The carriage error after a reverse approach is the same 0.20 mm in both rows. A finer lead only spreads that same clearance over more of the handwheel turn.

    Land on a dimension: finish every approach in the direction the dial was set

    Land on a dimension: finish every approach in the direction the dial was set

    If you overshoot a target, turning straight back to the number leaves the carriage one clearance away from it, because the screw is now pushing on the other flank. Instead:

    1. Back the handwheel past the target by more than the backlash.
    2. Turn in the original direction again and stop on the number.

    The same reasoning applies when setting a dial. MIT's 2.670 milling notes say to “be certain that the backlash in the mechanism driving the table is taken up prior to setting the dial indicator”. A dial set with the clearance taken up in one direction reads true for approaches in that direction. For edge finding, Mill Indicators and Part Zero repeats the touch from the same direction for the same reason.

    Supporting detail: Addendum 57 — A readout that measures the slide, and when the clearance still matters.

    What the lab model includes and leaves out

    What the lab model includes and leaves out

    • Included: a rigid screw that turns but never slides along its axis, a nut fixed to the carriage, and a total axial clearance B. The carriage position c stays within B/2 of the screw's helical phase s = −Lφ/360° (right-hand thread, φ the screw rotation); inside that band it does not move.
    • Assumed: friction holds the carriage still inside the clearance, and no outside force pushes it along the axis.
    • Left out: forces, friction values, stiffness and elastic wind-up, preload, stick-slip and wear. Drives designed to remove the clearance, such as preloaded ball nuts or adjustable split nuts, are beyond this model.
    • Illustrative: the leads, clearances and the 3D screw (5 mm lead, 1.0 mm clearance, 30° flanks) are chosen to be seen, not taken from a standard thread or a measured machine.

    For drive design in depth, Alexander Slocum's Precision Machine Design (1992) covers actuators and transmissions in Chapter 10, including section 10.8, Linear Power Transmission Elements.

    Mill around an island: X and Y backlash change the material left behind; Interactive

    Mill around an island: X and Y backlash change the material left behind

    A perfect 4 mm diameter cutter makes one contour groove around a 24 mm circular island. The dashed outline is the intended island; span errors compare with zero backlash. Material in the middle and outside the groove remains: this is not a pocket-clearing path. Only X/Y drive clearance changes.

    Cut as intendedExtra cutMissed cut
    Zero backlash · X 0.00 / Y 0.00 mm
    Top view of a contour groove around a circle island. X clearance 0.00 mm, Y clearance 0.00 mm. Complete pass. Shaded cells are swept by the full cutter; the middle is retained material.+X+Y−10010 mm
    X span at Y = 024.000 mm0.000 mm error
    Y span at X = 024.000 mm0.000 mm error
    X only · X 0.50 / Y 0.00 mm
    Top view of a contour groove around a circle island. X clearance 0.50 mm, Y clearance 0.00 mm. Complete pass. Shaded cells are swept by the full cutter; the middle is retained material.+X+Y−10010 mm
    X span at Y = 023.500 mm−0.500 mm error
    Y span at X = 023.989 mm−0.011 mm error
    Y only · X 0.00 / Y 0.50 mm
    Top view of a contour groove around a circle island. X clearance 0.00 mm, Y clearance 0.50 mm. Complete pass. Shaded cells are swept by the full cutter; the middle is retained material.+X+Y−10010 mm
    X span at Y = 023.989 mm−0.011 mm error
    Y span at X = 023.500 mm−0.500 mm error
    Both axes · X 0.50 / Y 0.50 mm
    Top view of a contour groove around a circle island. X clearance 0.50 mm, Y clearance 0.50 mm. Complete pass. Shaded cells are swept by the full cutter; the middle is retained material.+X+Y−10010 mm
    X span at Y = 023.500 mm−0.500 mm error
    Y span at X = 023.500 mm−0.500 mm error

    All four start at the right side and run counterclockwise. Before the plunge, both axes approach the start in their positive directions and the coordinates are calibrated there. On reversal, the actual cutter can stay still along one axis while moving along the other. Its full circular footprint removes material along that path.

    The spans above are sections through X = 0 or Y = 0, not a best-fit circle or the greatest overall width. They come from intersections with the swept cutter, not pixel counting. Changing the start, winding or initial seating can change the local shape; do not infer that every circle becomes the same oval.

    Approximation: circular paths use 1° chords (under 0.001 mm sag here). These printed diagrams use 0.20 mm cells; the live area shading uses 0.10 mm cells. The millimetre span readings use the underlying swept chords.

    The cutter removes the upper layer at one fixed depth. Grey is material still at its original height; the groove floor is not drawn. A boundary pass leaves both an island and the surrounding stock, so it is not a cleared pocket. The dashed line is the intended island boundary, not the cutter-centre path: that path is one cutter radius outside it.

    Supporting detail: Addendum 58 — What the model means, and why it is not a prediction for every CNC.

    Machining/Milling

    Feeds and Speeds

    Six key quantities connect cutting data to the machine and the cut: cutting speed, feed per tooth, spindle speed, table feed, radial engagement and axial depth.

    Six quantities connect the cutting data, machine and cut

    Six quantities connect the cutting data, machine and cut

    Start by separating six quantities. Cutting speed and feed per tooth describe what the cutting edges should experience. Spindle speed and table feed are the corresponding machine settings. Width of cut and axial depth describe how much of the cutter is engaged. The exact starting values come from cutting data for the tool, material and operation.

    Cutting speed
    How fast the cutting edge moves through the material: the speed at the outside of the cutter. Written in surface feet per minute (SFM) or metres per minute (m/min). Also called surface speed. Comes from cutting data.
    Feed per tooth
    How far the work moves while the cutter turns from one tooth to the next, in inches or millimetres per tooth. Also called chip load, because it sets the size of the bite each tooth takes. Comes from cutting data.
    Spindle speed
    How many turns the cutter makes each minute, in revolutions per minute (rev/min, usually said RPM). Set on the machine.
    Table feed
    How fast the work moves past the cutter, in inches or millimetres per minute. Also called the feed rate. On a machine that moves the cutter instead, it is how fast the cutter travels. Set on the machine.
    Width of cut, ae
    The cutter’s radial engagement in the work, measured across the cutter in inches or millimetres. It is also called radial depth of cut; those names describe the same quantity, not two separate settings.
    Axial depth of cut, ap
    The distance engaged along the cutter’s axis, in inches or millimetres: the difference between the uncut and cut surfaces in that axial direction.

    "Speeds" are the cutter turning; "feeds" are the work moving. That is all the phrase feeds and speeds means. The two are set separately on the machine, and the rest of this page is about how they depend on each other, how width and axial depth set the engaged cut, how much metal that cut removes, and the power it takes. Climb and Conventional Milling explains how feed direction relative to rotation changes the chip from thin-to-thick or thick-to-thin.

    Spindle speed: the turns it takes to reach the cutting speed

    Spindle speed: the turns it takes to reach the cutting speed

    Cutting speed is a distance per minute, measured at the edge of the cutter. In one turn, a point on that edge travels once around the cutter: its circumference, π × D. So the spindle speed is the cutting speed divided by the distance one turn covers, once the two are in the same units.

    D = 0.5 inone turn = π × D = 1.571 inIn one rotation about its center, a pointon its edge travels its circumference.
    One turn of a 0.5 in cutter carries its edge 1.571 in. A cutting speed of 300 SFM asks the edge to cover 300 ft, which is 3,600 in, every minute.

    Spindle speed (rev/min) = 12 × cutting speed (SFM) ÷ (π × cutter diameter in inches)

    The 12 is there because cutting speed is in feet and the diameter is in inches: 12 inches to the foot. In metric units the same idea needs a 1000, millimetres to the metre:

    Spindle speed (rev/min) = 1000 × cutting speed (m/min) ÷ (π × cutter diameter in mm)

    Worked example, with illustrative numbers. A 0.5 in cutter, with cutting data that calls for 300 SFM: 12 × 300 ÷ (π × 0.5) = 2,292 rev/min. The 300 SFM is there to make the arithmetic concrete. It is not a recommendation for any tool or any material. The feed value below is illustrative too; use the later material guide for the carbide starting bands.

    Look at where the diameter sits: underneath. Halve the diameter and the spindle speed doubles. A small cutter has to turn faster to give its edge the same cutting speed, which is why small cutters so often ask for more speed than a machine has. That case has its own card below.

    Table feed: each tooth takes one chip load as it passes

    Table feed: each tooth takes one chip load as it passes

    Each time a tooth passes, the work should have moved one feed per tooth. The number of teeth passing each minute is the spindle speed times the number of flutes, so:

    Table feed = spindle speed × flutes × feed per tooth

    Worked example, continued. A 4-flute cutter at 2,292 rev/min, with a feed per tooth of 0.002 in: 2,292 × 4 × 0.002 = 18.3 in/min. The units work out on their own: turns per minute, times teeth per turn, times inches per tooth, leaves inches per minute.

    Turned around, the same relation tells you what chip load a feed gives. That is the way to check a feed someone else has set:

    Feed per tooth = table feed ÷ (spindle speed × flutes)

    Flutes here means the teeth that actually take a chip in each turn. For an ordinary end mill that is simply the number of flutes.

    Removal rate: width × depth × table feed

    Removal rate: width × depth × table feed

    Two more numbers describe the cut itself. The width of cut is how far the cutter reaches sideways into the work, across the direction of feed. The depth of cut is how far down its side the cutter is buried, along its axis. A side cut can be no wider than the cutter; a wider path takes more than one pass.

    While the table feeds, the cutter sweeps through the work and leaves a channel behind it. In a stretch of time the cutter travels table feed × time, and the solid metal it takes out in that stretch is a slab as wide as the cut, as deep as the cut, and as long as that travel. Per minute, that is the material removal rate:

    Removal rate (in³/min) = width of cut (in) × depth of cut (in) × table feed (in/min)

    The front of the cut is curved, because it is the cutter’s own shape. The slab’s two ends are the same curve, one travel apart, so whatever the curve, the slab holds exactly width × depth × travel.

    Worked example, continued. The same cutter, 0.1 in wide (20% of its diameter) and 0.5 in deep, at 18.3 in/min: 0.1 × 0.5 × 18.3 ≈ 0.917 in³/min, or 15.0 cm³/min. In 5 seconds the cutter travels 1.53 in and removes 0.0764 in³.

    That is the volume of solid metal. Once it is chips, the same metal lies loose and takes up far more space, so the removal rate is not the size of the chip pile.

    Cutting power: removal rate times the energy each cubic inch takes

    Cutting power: removal rate times the energy each cubic inch takes

    Cutting a cubic inch of a given material takes roughly a given amount of energy. That is its specific cutting energy, and it is why the same cut needs more power in steel than in aluminum. Written as power per unit of removal rate, it turns a removal rate straight into power:

    Cutting power (hp) = removal rate (in³/min) × unit power (hp per in³/min)

    Cutting power (W) = removal rate (mm³/min) × specific energy (J/mm³) ÷ 60

    The 60 turns minutes into seconds, because a watt is a joule per second. One mechanical horsepower is 745.7 W.

    Worked example, continued. For 6061-T6 aluminum the guide in the calculator gives a band of 0.16 to 0.30 hp per in³/min. At 0.917 in³/min that is about 0.15 to 0.28 hp, or 110 to 210 W. The same cut in 304 stainless steel, whose band is 0.65 to 1.3 hp per in³/min, needs about 0.60 to 1.2 hp.

    The answer is usually a band. Some table rows give one factor; that still produces an estimate, not a measured certainty. Published bands cover a family of materials over a range of hardness, and the energy a real cut takes also depends on chip thickness and cutting-edge geometry. Treat the band as the size of the job, not a prediction to the watt.

    Three different powers get called “the power”, and they are not the same:

    • Cutting power is what the cutting edge spends. That is the estimate above.
    • Motor shaft power is more, because the belts, gears and bearings between the motor and the cutter lose some on the way. If the drivetrain passes on 80% of what the motor delivers, the motor must deliver the cutting power ÷ 0.8.
    • Electrical power drawn from the supply is more again, because the motor and its drive lose some too.

    None of these tells you whether a machine can take the cut. A spindle motor’s rating is not necessarily available at every speed, and power is only one limit: the tool, the holding and the machine’s stiffness are others. Use the estimate to compare cuts and to see why a cut is heavy, not to approve one.

    Calculator: from material guidance to removal and power; Interactive

    Calculator: from material guidance to removal and power

    Choose a material to see generic carbide starting ranges for it, then enter the cutter, the cutting data and the cut. Nothing is filled in for you. Each result appears as soon as the fields it needs are filled, and says what it is still waiting for until then. Use the middle of these ranges fills in only the cutting speed and feed per tooth.

    How to read the drawings. You are looking at a block of work from the front, a little above and to the right. The cutter feeds to the right along the front top edge. Gold is the solid metal removed in the time shown, drawn where it was before the cutter took it. The dashed blue curve is where the front of the cut stood when that time began; the outlined cylinder is the cutter now. The three labeled axes use the same length scale, and the drawings in one comparison share that scale, so a slab twice as long is twice the volume. The block around the cut is there only to hold it; its size means nothing. The cut is already underway when the interval starts; only the gold volume counts toward that interval.

    The comparison below the drawings prices the setup’s removal rate in every material. The cut is the same in every row; only the energy per cubic inch changes.

    Setup2,292 rev/min · 18.3 in/min

    feeddepthwidthtravel in 5.00 s0.500 in

    In 5.00 s: travel 1.53 in, removed 0.0764 in³Removal rate 0.917 in³/min · power ≈ 0.15–0.28 hp

    Spindle ×2, table feed held4,584 rev/min · 18.3 in/min

    feeddepthwidthtravel in 5.00 s0.500 in

    In 5.00 s: travel 1.53 in, removed 0.0764 in³Removal rate 0.917 in³/min · power ≈ 0.15–0.28 hp

    Spindle ×2, chip load held4,584 rev/min · 36.7 in/min

    feeddepthwidthtravel in 5.00 s0.500 in

    In 5.00 s: travel 3.06 in, removed 0.153 in³Removal rate 1.83 in³/min · power ≈ 0.29–0.55 hp

    MaterialEstimated cutting power at 0.917 in³/min

    • 6061-T6 aluminum0.15–0.28 hp
    • 7075-T6 aluminum0.15–0.28 hp
    • 1018 mild steel0.56 hp one factor
    • 1045 steel0.56–0.59 hp
    • 4140 prehard steel0.72–0.83 hp
    • 304 stainless steel0.60–1.2 hp
    • 316 stainless steel0.60–1.2 hp
    • Class 30 gray cast iron0.40–0.60 hp
    • C360 brass0.28 hp one factor
    • Ti-6Al-4V titanium0.69–1.1 hp
    The worked example, 0.5 in cutter, 0.1 in wide and 0.5 in deep, three ways over the same 5 seconds and at one scale. Doubling the spindle speed with the table feed held leaves the slab unchanged: the same metal is removed, in chips half as thick. Doubling it with the chip load held doubles the table feed, so the slab is twice as long and the removal rate and power estimate double. Below, the setup’s 0.917 in³/min priced in each material, from the guide’s cutting-energy bands.
    Things to try in the calculator; Checklist

    Things to try in the calculator

    • Before typing anything, read the results. Each one names the fields it is waiting for.
    • With 6061-T6 aluminum chosen, enter a 0.5 in diameter and 4 flutes, then press Use the middle of these ranges. Cutting speed and feed per tooth fill in at 400 SFM and 0.00415 in/tooth. Nothing else changes.
    • Enter a width of 0.1 in and a depth of 0.5 in. Check the removal rate against width × depth × table feed in the arithmetic.
    • Change the material to 304 stainless steel. The drawings, the table feed and the removal rate stay exactly as they were; only the power estimate moves. The guide now marks your cutting speed as above its range for stainless, but the calculator leaves your entries alone.
    • Hold the table feed and drag the spindle speed to 200%. The slab does not change and nor does the removal rate: the same metal comes off, in chips half as thick.
    • Now hold the chip load and do the same. The table feed doubles, the slab grows twice as long in the same time, and the removal rate and power estimate double.
    • Switch to metric and back. The cut and every result stay the same, written in other units, and any field you left empty stays empty.
    • Try a width larger than the diameter. The calculator refuses it: that is more than one pass.
    • Enter a 0.125 in cutter with a 4,000 rev/min machine top speed. Compare the speed the cutting speed asks for with the speed the machine can reach, and where the cutting speed actually reached sits against the guide.
    When the machine cannot turn as fast as the formula asks

    When the machine cannot turn as fast as the formula asks

    Because small cutters ask for high spindle speeds, the formula can easily give more than a machine’s top speed. A 0.125 in cutter at 300 SFM asks for 9,167 rev/min. On a machine that stops at 4,000, it runs at 4,000.

    • Work the feed from the speed the spindle really turns. At 4,000 rev/min, with 2 flutes and 0.0008 in per tooth, that is 4,000 × 2 × 0.0008 = 6.4 in/min. Each tooth then takes the chip load you meant it to.
    • The cutting speed is what you give up. At 4,000 rev/min the edge of a 0.125 in cutter moves at π × 0.125 × 4,000 ÷ 12 = 131 SFM, not the 300 the data asked for.

    Working the feed from the speed that was asked for, rather than the one the spindle is turning, gets the chip load wrong by the same ratio. A feed worked from 9,167 rev/min would give each tooth 9,167 ÷ 4,000 = 2.3 times the chip load intended.

    The same applies to a machine that offers only certain speeds, through belts or gears: set the nearest speed it has, and work the feed from that one. The calculator’s machine top speed box does this for a top speed.

    Generic ranges are a starting point, not your tool’s data; Watch out

    Generic ranges are a starting point, not your tool’s data

    What determines the surface speed?

    Start with the material and its hardness, then the cutting tool. Carbide is a tool material, not one universal cutting edge: its grade, coating and geometry matter, as do coolant and how steadily the setup can cut. A harder material generally calls for a lower starting speed. Once that surface speed is chosen, the diameter determines the RPM; a smaller cutter must turn faster to reach the same surface speed.

    What determines the feed per tooth?

    Choose a bite the cutting edge can carry and the flute can clear. That is why the guide changes with cutter diameter: small cutters generally take smaller bites. Width and depth of cut, a full-width slot, a long tool and a flexible setup change the loading and chip clearance. The number of flutes then tells you how many of those bites happen per turn; it does not by itself choose the size of each bite. Use the diameter-based range as a starting point, with its stated engagement, and refine it from the actual tool’s cutting data.

    The arithmetic on this page is exact. Its inputs are the part that takes judgement. The ranges in the calculator are generic starting bands for solid-carbide end mills, by material family, from published toolmaker tables. The cutting data for your tool comes first: normally the toolmaker’s for that tool, that material and that kind of cut, or the person responsible for the machine.

    Cutting data accounts for things these formulas cannot see: the exact grade and hardness of the material, the tool’s coating and geometry, how far it reaches out of the holder, coolant, and how the setup is held. The guide’s feed-per-tooth ranges assume a side cut about 20% of the cutter’s diameter wide; a full-width slot or a long reach needs the tool’s own data. A calculator turns data into machine settings. It cannot tell you whether the data suit your cut.

    Supporting detail: Addendum 59 — Feed per tooth is not always the thickness of the chip.

    Machining/Milling

    Tool Stickout and Deflection

    A longer tool reaches farther, but bends much more under the same sideways load. Predict a change, test it, and compare the tool with a fixed baseline.

    Experiment: how much does a shorter tool help?; Interactive

    Experiment: how much does a shorter tool help?

    Predict first: keep the same solid tool, force and material. If its unsupported length drops from 80 to 40 mm, will it bend half as much, one eighth as much, or the same amount?

    IDEAL SOLID ROUND TOOLBending ×100 in bothBASELINE57.947 µm100 NL = 80 mmØ 10 mmE 600 GPaYOUR SETUP7.243 µm100 NL = 40 mmØ 10 mmE 600 GPa
    Halving the clamp-to-load length, from 80 to 40 mm, cuts ideal tip bending from 57.947 to 7.243 µm: one eighth as much. Both drawings use the same geometry scale and ×100 bend magnification. Dashed outlines are the unloaded tools.
    WORKPIECEDashed: intended wallSolid: shifted cutting edge7.243 µm extra materialOne-sided offset at the tip · gap ×100 · schematic
    In this ideal one-sided wall pass, the cutting edge bends away from the work. The short setup leaves 7.243 µm of extra material at the tip. This is a geometric consequence of the assumed load, not a prediction of a real finished part.
    The length that matters starts at the clamp

    The length that matters starts at the clamp

    Stickout is unsupported length. Here it is the distance from the rigid clamp face to the point where the sideways force acts. It is not the total tool length, and it is not automatically the flute length.

    A force bends the tool and moves its cutting edge away from its unloaded position. The clamp end stays in place and keeps its direction; the bend grows along the unsupported length. In a real cut, force acts over the engaged cutting edges rather than at one perfect point.

    Reach is a tradeoff. The tool must reach the feature and clear the work and holder. Within those constraints, reducing unnecessary stickout improves bending stiffness. A larger diameter can also help if the feature has room for it.

    Length is cubed; diameter is raised to the fourth power

    Length is cubed; diameter is raised to the fourth power

    For the ideal solid round tool in this lab, tip bending is proportional to F × L³ ÷ (E × d⁴). Change one input at a time to see which factor is responsible.

    ½ length → ⅛ bendHalf × half × half. Shortening the unsupported reach is a powerful change.
    2× diameter → ¹⁄₁₆ bend2 × 2 × 2 × 2 goes into the denominator. This comparison is for solid round sections.
    2× force → 2× bendForce acts linearly. Double E instead, with the other inputs fixed, and bending halves.

    Try a combined change: start at L = 40 mm and d = 10 mm, save that baseline, then set L = 80 mm and d = 20 mm. The length contributes 8× and the diameter contributes 1/16×, leaving half the bending at the same load and modulus. The two changes compete.

    Supporting detail: Addendum 60 — The calculation and its units.

    Use the trend; know what this model leaves out

    Use the trend; know what this model leaves out

    This is a static, linear-elastic, slender-beam model: a uniform solid round tool, a perfectly rigid clamp, a steady sideways point load at the free end and deflections small compared with the length. Elastic modulus E measures stiffness, not hardness or breaking strength.

    The lab starts at E = 600 GPa, a chosen teaching value within Hyperion's published 430–690 GPa range for cemented-carbide wear grades. It is not a universal value for carbide cutters. The force is an assumed input, not calculated from a milling operation.

    Flutes and necks change stiffness. The holder, spindle and workpiece can move too, and a milling force changes as teeth engage. Static bending alone does not predict chatter thresholds, surface roughness, fracture, safe loads or guaranteed finished-part error.

    The lab flags L/d below 4 and bending above 1% of L as prompts to question this simplification. Those are teaching checks, not certification or safety limits.

    Supporting detail: Addendum 61 — Primary references.

    Connect the setup to feeds, speeds and removal rate, and explore the path and tool access in Milling Operations.

    Machining/Turning

    Lathe Operations

    Identify lathe parts, choose workholding and tools, and explore turning operations in a simulator before studying tapers and threads.

    Identify the parts that rotate, guide and feed

    Identify the parts that rotate, guide and feed

    Schematic engine lathe with headstock and spindle at left, tailstock at right, and carriage, cross slide, compound, apron, feed rod and leadscrew along the bed.
    Typical engine-lathe arrangement. Controls and drive arrangements vary by machine.
    Headstock and spindle
    The headstock supports the rotating spindle and its drive. The spindle carries the chuck, faceplate or other workholding. Its axis is the reference for turning.
    Bed and ways
    The bed supports the assemblies. Its guide surfaces, called ways, guide carriage travel and locate the tailstock.
    Tailstock
    Supports the far end of work with a center, or holds axial tools such as drills and machine reamers. Its quill extends along the spindle axis when aligned.
    Carriage, cross slide and compound rest
    The carriage moves along the bed. The cross slide moves across the axis. The compound sits above it and swivels to guide short angled movements. The tool post holds the cutting tool on the compound.
    Apron
    The assembly on the front of the carriage contains feed mechanisms and controls.
    Feed rod and leadscrew
    On machines with separate drives, the feed rod powers ordinary turning or facing feeds; the leadscrew synchronizes threading. Some lathes combine functions, so identify the actual drive arrangement before selecting a feed.
    Half-nuts and quick-change gearbox
    The half-nuts close around the leadscrew to drive the carriage during threading. The gearbox selects ratios for feeds or thread pitches; its chart tells you which control combinations produce each ratio.
    Choose workholding for the shape and the surface that must run true

    Choose workholding for the shape and the surface that must run true

    Running true means the reference surface is centered on the spindle axis, with little measured runout. Gripping a part does not automatically establish that alignment.

    Five lathe workholding mechanisms. A three-jaw scroll chuck links its jaws; a four-jaw independent chuck gives each jaw its own screw; a representative collet closes into a taper; centers support and locate while a dog engages a dedicated drive plate; and clamps hold irregular work directly to a faceplate. Colored labels distinguish locate, grip, drive and support roles.
    One device can perform several roles, but the roles are not interchangeable. The drive path shown for work between ordinary centers runs from the drive plate through the dog; the centers support and locate the axis.

    Read the role before choosing the device. A setup can combine location, grip, drive and support. Support is not the same as drive, and gripping a surface does not by itself establish that it runs true.

    Three-jaw scroll chuck
    Moves its jaws together for quick gripping of round or suitable hexagonal stock. Self-centering is convenient, but does not promise zero runout, especially after removing and replacing a part.
    Four-jaw independent chuck
    Moves each jaw separately. Useful for square or irregular work, intentional offsets, or indicating an existing surface true. Adjustment takes more time.
    Collet
    Grips around a matching stock shape over a limited size range. Useful for repeated work and small diameters; choose the correct collet and its permitted clamping range.
    Centers and drive dog
    Centers locate work through prepared center holes. A dog clamped to the work transmits torque from a drive plate; the centers provide support. Useful when several surfaces must share the center-hole axis or the work must be removed and returned.
    Faceplate
    Provides slots or mounting features for clamping work that does not suit chuck jaws. The fixture must locate the intended axis and account for the off-center mass.
    Two long-work support arrangements. A steady rest is fixed to the lathe bed at one axial station while the chuck drives the work. A follow rest attaches to the carriage and travels beside the cutter to support the work near the cut. Both rests support the work; neither supplies the primary drive.
    The steady rest stays at one bed position. The follow rest moves with the carriage near the cutter. In both examples the chuck remains the primary drive; the rest contacts support the rotating work.
    Steady rest
    Mounts on the bed and supports a long workpiece at a fixed position. It can support work when the end must remain accessible for drilling or boring.
    Follow rest
    Mounts to the carriage and travels with the tool. It supports slender work near the cut to reduce bending under cutting force. Its support contacts must suit the diameter being supported.

    Supporting detail: Addendum 62 — Reference examples for these mechanisms.

    For why a chuck key must never remain in the chuck, and for rotating-work precautions, see Machine Hazards and Housekeeping. See Personal Protective Equipment and Metal Chips and Swarf for protection and chip handling.

    Match tool travel to the feature, and set the edge on center

    Match tool travel to the feature, and set the edge on center

    Facing feeds across an end to establish a plane perpendicular to the axis. Straight turning feeds parallel to the axis to make a cylinder. Shoulder turning joins a cylindrical diameter to a step face; the tool needs clearance to reach both surfaces without its holder or unused edge contacting the work.

    Center drilling prepares the seat for a supporting center. It is not automatically the best starting method for every drill. Tailstock drilling makes an axial hole; reaming removes a controlled small allowance to improve hole size and finish. Select that allowance from the reamer maker. A reamer generally follows the existing hole, so it is not a reliable way to correct a misplaced hole. Boring uses a single-point tool to enlarge an existing hole and establish its surface relative to the spindle axis.

    Grooving makes a recess; parting continues a similar radial cut until the part separates. Chamfering makes a bevel at an edge. Form knurling presses a pattern into the surface and increases the diameter over the raised points; cut knurling is a different process.

    Use spindle center height as the starting reference for ordinary turning and threading tools, then follow any tool-specific instruction. An off-center edge changes the effective rake and clearance. In facing, a tool that cannot reach the axis leaves a small central nub. Boring also needs clearance between the tool and the curved hole wall.

    Supporting detail: Addendum 63 — Rake and chipbreakers depend on the whole cutting setup.

    Continue with Turning Tapers and Single-Point Threading. Cutting speed and feed belong on Feeds and Speeds; dimensional acceptance and finish belong on Tolerances and Fits and Surface Texture and Finish.

    A lathe spins the work and moves the tool on two slides

    A lathe spins the work and moves the tool on two slides

    In ordinary turning the work rotates while the tool feeds along it or toward its center. This simulator models parts that are round about the spindle’s axis. The shape comes from where the tool is put against the turning work, and in what order.

    Chuck
    Grips the bar and turns with the spindle. The jaws hold one end; the tool works on the part of the bar that sticks out.
    Carriage (Z)
    Carries the tool along the bed, parallel to the axis. On this page Z minus is toward the chuck and Z plus toward the tailstock.
    Cross slide (X)
    Moves the tool straight toward or away from the axis. The simulator’s X readout is the diameter the tool would cut. On a real lathe, find out whether a dial or readout shows diameter or radius before you trust it.
    Tailstock
    At the far end of the bed, on the centerline. It holds the center drill, the drills and the countersink, which feed straight along the axis.
    Z0
    Where the drawing’s finished front face belongs. Every length on the drawings is measured from the front face.

    How to read the simulator’s picture. It is the lathe seen from the front, with the whole work in one of two views; the switch under the picture changes view at any time without changing the work. Section cuts the work in half along its centerline, the way a section drawing shows a part: metal is hatched, a hole shows open, and a thread or knurl shows as its profile. Normal shows the outside, as you would see the part on the machine, with its thread and knurl; a hole is drawn as a dashed hidden line, and a tool working inside the part is hidden by it. Tools on the cross slide come in from above, in the plane the section is cut on, so a tool and the metal it cuts are in the same plane.

    The dashed blue outline is the drawing, placed at Z0. Tinted metal is still to come off. A heavy red-orange dashed line marks work that is already smaller than the drawing allows. On each tool, the gold edge is the part that cuts and the small ring is the point the readout follows.

    Before using a real lathe, read Machine Hazards and Housekeeping. The chuck key stays in your hand until it is out of the chuck.

    Lathe simulator: make the part on the drawing; Interactive

    Lathe simulator: make the part on the drawing

    Chuck endfrom tailstockZ0
    The stepped pin part-way through. The facing blade made the end flat; the body was rough-turned short of its shoulder. Its angled allowance still needs radial facing. The rougher is halfway along the first pin pass. The tinted metal is still to come off.

    Each target is shown in a complete Normal outside view and a complete Section through its centerline. Dashed lines in Normal identify hidden internal features. Section thread bands are schematic crest/root envelopes; the knurl remains a surface callout. Dimensions are nominal inches; the simulator’s feature table gives the limits.

    Target drawing: Stepped pin. Normal: outside viewDashed lines show hidden internal features. Stepped pin, 1.500 in long, from 1.000 in bar. Pin: Ø0.500, from 0.000 to 0.625 in from the front face. Body: Ø0.750, from 0.625 to 1.250 in from the front face. Head: Ø1.000 (bar size), from 1.250 to 1.500 in from the front face. 0.030 in by 45 degree chamfer at the front edge.Normal: outside view0.6251.2501.500front face0.030 × 45° chamferØ1.000 (bar size)Ø0.750Ø0.500
    Target drawing: Stepped pin. Section: through the centerlineHatching marks the material cut by the section plane. Stepped pin, 1.500 in long, from 1.000 in bar. Pin: Ø0.500, from 0.000 to 0.625 in from the front face. Body: Ø0.750, from 0.625 to 1.250 in from the front face. Head: Ø1.000 (bar size), from 1.250 to 1.500 in from the front face. 0.030 in by 45 degree chamfer at the front edge.Section: through the centerline0.6251.2501.500front face0.030 × 45° chamferØ1.000 (bar size)Ø0.750Ø0.500
    Stepped pin. Two turned diameters, a chamfer on the end and a head left at bar size. From 1.000 in bar. Facing, turning in passes, square shoulders, chamfering and parting off.
    Target drawing: Bushing. Normal: outside viewDashed lines show hidden internal features. Bushing, 1.000 in long, from 1.250 in bar. Outside: Ø1.125, from 0.000 to 1.000 in from the front face. Bore inside: Ø0.625, through. 0.030 in by 45 degree chamfer at the front edge. 0.030 in by 45 degree chamfer at the back edge. 0.030 in by 45 degree chamfer at the mouth of the hole.Normal: outside view1.000front face0.030 × 45° chamfer0.030 × 45° at the holeHole Ø0.625, through0.030 × 45° chamferØ1.125
    Target drawing: Bushing. Section: through the centerlineHatching marks the material cut by the section plane. Bushing, 1.000 in long, from 1.250 in bar. Outside: Ø1.125, from 0.000 to 1.000 in from the front face. Bore inside: Ø0.625, through. 0.030 in by 45 degree chamfer at the front edge. 0.030 in by 45 degree chamfer at the back edge. 0.030 in by 45 degree chamfer at the mouth of the hole.Section: through the centerline1.000front face0.030 × 45° chamfer0.030 × 45° at the holeHole Ø0.625, through0.030 × 45° chamferØ1.125
    Bushing. A turned sleeve with a through bore, two outside chamfers and a chamfer at the bore mouth. From 1.250 in bar. Center drilling, drilling, boring, countersinking and chamfering a back edge before parting.
    Target drawing: Thumb screw. Normal: outside viewDashed lines show hidden internal features. Thumb screw, 1.250 in long, from 1.000 in bar. Thread: Ø0.375, 16 threads per inch, from 0.000 to 0.625 in from the front face. Relief groove: Groove Ø0.290, from 0.625 to 0.750 in from the front face. Knurled head: Diamond knurl, Ø0.880 over points, from 0.750 to 1.250 in from the front face. 0.030 in by 45 degree chamfer at the front edge.Normal: outside view0.6250.7501.250front face0.030 × 45° chamferDiamond knurl, Ø0.880 over pointsGroove Ø0.290Ø0.375, 16 threads per inch
    Target drawing: Thumb screw. Section: through the centerlineThread bands are schematic crest/root envelopes, not a literal helical cut face. Thumb screw, 1.250 in long, from 1.000 in bar. Thread: Ø0.375, 16 threads per inch, from 0.000 to 0.625 in from the front face. Relief groove: Groove Ø0.290, from 0.625 to 0.750 in from the front face. Knurled head: Diamond knurl, Ø0.880 over points, from 0.750 to 1.250 in from the front face. 0.030 in by 45 degree chamfer at the front edge.Section: through the centerlineThread envelopes (schematic)0.6250.7501.250front face0.030 × 45° chamferDiamond knurl, Ø0.880 over pointsGroove Ø0.290Ø0.375, 16 threads per inch
    Thumb screw. A knurled head, a thread relief groove and a 16-per-inch thread. From 1.000 in bar. Knurling, grooving, external threading in passes, and why a thread needs somewhere to stop.
    Target drawing: Knurled nut. Normal: outside viewDashed lines show hidden internal features. Knurled nut, 0.500 in long, from 1.000 in bar. Knurled outside: Diamond knurl, Ø0.880 over points, from 0.000 to 0.500 in from the front face. Thread inside: 13 threads per inch, through.Normal: outside view0.500front face13 threads per inch inside, throughDiamond knurl, Ø0.880 over points
    Target drawing: Knurled nut. Section: through the centerlineThread bands are schematic crest/root envelopes, not a literal helical cut face. Knurled nut, 0.500 in long, from 1.000 in bar. Knurled outside: Diamond knurl, Ø0.880 over points, from 0.000 to 0.500 in from the front face. Thread inside: 13 threads per inch, through.Section: through the centerlineThread envelopes (schematic)0.500front face13 threads per inch inside, throughDiamond knurl, Ø0.880 over points
    Knurled nut. A knurled ring with a 13-per-inch thread inside it. From 1.000 in bar. Drilling to the thread's inside size, internal threading and parting off a ring.

    Pick a part and read its drawing (Drawing opens it). Then make it from bar: choose a tool, start the spindle, and move the tool against the work. Measure the part against the drawing whenever you stop.

    • Move the tool by dragging it in the picture, one slide at a time as if you were turning one handwheel; with the handwheel buttons, which repeat while held; with the arrow keys once the picture is selected; or by typing a position and pressing Feed to Z or Feed to X. Stop feed, or Escape, stops a feed part-way.
    • The spindle has to be running for anything to cut, and stopped before you change a tool, change the drill size or thread pitch, or measure the part. A caliper or micrometer never goes on turning work.
    • Each tool does only its own kind of work. When a move would ask a tool for something it cannot do, the simulator stops the tool there and says why. What the tool in use can and cannot do is listed under the tool rack. Turn / face offers two actual tools in its Cutting tool selector; stop the spindle before changing between them.
    • Undo takes back one cut at a time. New bar starts the part again, and undo brings the old bar back.
    • Measure compares every feature with the drawing. The list under the simulator says what each feature still needs, or whether it has already gone too far to save.
    Each simulator tool has a defined job; its form knurl displaces metal

    Each simulator tool has a defined job; its form knurl displaces metal

    Facing, turning, drilling, threading and knurling are not the same action with a different shape of tool. Each tool reaches different places and moves in different ways.

    Turning tool
    The roughing tool supplied here has a 10° lead and a 0.008 in nose radius. Its angled edge reaches ahead of its readout point. Stopping an axial pass leaves an angled shoulder; leave allowance instead of running the nose to the finished shoulder plane.
    Facing tool
    A square, 1/16 in wide finishing blade set for radial feed. Put its left corner at the finished Z and feed X across the end or shoulder. Its actual sweep removes the allowance and leaves the face flat. Retract clear before moving Z. These are the simulator’s selected tools; other turning tools and settings can both turn and face.
    Chamfer tool
    A 90° point. Plunged at an edge, each side cuts a 45° chamfer.
    Grooving and parting blade
    Cuts only on its front edge. Plunged part of the way it makes a groove; plunged to the center, or into the hole, it parts the work off.
    Center drill, drill, countersink
    Fed from the tailstock along the axis. A center drill makes a small pilot and a 60° seat for a lathe center; a spotting drill has different starting geometry. The twist drill makes the hole and the countersink chamfers its mouth. Choose a real drill’s starting method and spot angle from its maker’s guidance.
    Boring bar
    Turns the inside of a hole that is already there, the way the turning tool works on the outside. Its bar has to fit in the hole.
    Threading tools
    Form tools with a 60° point, one for outside threads and one on a bar for inside threads. For a threading pass the carriage is driven by the leadscrew, so the tool moves one thread lead for every turn of the work; for the single-start threads here, lead equals pitch.
    Knurling tool
    A straddle head with two opposed forming wheels, with left-hand and right-hand diagonal teeth. Their axles lie parallel to Z; together they roll a diamond pattern. Gap Ø is a simulated gap/contact-diameter control. A real tool’s arm adjustment and locking are separate from cross-slide infeed. The picture shows the barrels and axles in side projection; the highlighted rims are the forming contact.

    What makes the simulator stop a move. Each of these is something the real tool cannot do, or should not be asked to:

    • The spindle is stopped, so the tool would only rub.
    • More of the cutting edge would be in the work than the tool takes in one pass. Take it in more passes.
    • A part of the tool that does not cut would touch the work: the holder, the top of an insert, the bar of a boring tool, the side of a blade.
    • The tool would hit the chuck jaws.
    • A threading tool is still in the thread when the carriage moves. Back it out first.
    • A knurl is pressed past full depth, or into a shoulder.
    • A drill is three of its own diameters into a cut without being backed out to clear its chips.

    The simulator’s limits are teaching values chosen for these four parts. A real tool’s limits come from its maker and depend on the machine, the material and the setup.

    Tool shape and setting matter: Sherline’s tool-grinding guide describes cutting edges, clearance and form tools. The particular blade widths, nose radius and operating limits used here are declared teaching choices, not specifications for every lathe tool.

    Most parts start with a facing cut and end with parting

    Most parts start with a facing cut and end with parting

    More than one order can make the same part, and the simulator accepts any order that gets there. Some orders are still better than others, for reasons you can see in the work.

    • Face first. The faced end is the datum: every length on the drawing is measured from it. A sawn end is neither flat nor square to the axis.
    • Rough, then finish. A large step comes off in several passes, and only the last one goes to the size on the drawing. On the stepped pin, stop the roughing passes 0.040 in short of each shoulder, retract clear and change to the facing tool. With its left corner at the final shoulder Z, feed X to the smaller diameter. A deeper shoulder needs more clearance for the angled edge; the facing blade can remove its allowance in slices up to 0.0625 in wide.
    • Drill, then bore to size. The boring bar needs a hole its bar fits in. A center drill is available here to explore its pilot and center-seat shape, but it is not a universal prerequisite for drilling. On a real machine, use the starting method recommended for the following drill.
    • Heavy work before thin sections. Knurling pushes hard on the work. Knurling before the thin sections next to it are turned keeps the work stiff while it happens.
    • Make room for the threading tool. A thread needs somewhere for the tool to stop: a relief groove, or a stop short of the shoulder. Chamfer the end first so the thread starts on a clean edge.
    • Chamfer the back edge before parting. Once the part is cut off, its back edge is out of reach without a second setup.
    • Part off last. The part falls free, and anything not done to it by then needs another setup.

    The small Chuck end circle is a separate axial view, looking from the tailstock toward the chuck. Its forward-rotation arrow and animation run counterclockwise in that view. The main picture is longitudinal, not a view along the spindle. See the viewpoint diagram in Haas’s spindle-direction training, page 16.

    A thread is cut in several passes along one helix

    A thread is cut in several passes along one helix

    For a threading pass the carriage is coupled to the leadscrew, so the tool advances exactly one lead for every turn of the work. For the single-start threads here, that is one pitch: 1/16 in for 16 threads per inch. Every pass follows the same helix, so every pass deepens the same groove.

    The section uses a schematic thread envelope. Its unhatched bands lie between the surviving crests and dashed roots; they are not solid annular thread teeth. A real single-start helix intersects opposite sides half a pitch apart. The model samples a thread profile for depth checks and preserves its material envelope for later cuts and parting. The carriage still stops at the requested Z, even between full turns. Sandvik explains the lead/pitch relation for single- and multi-start threads.

    • A little deeper each pass. The simulator allows 0.015 in of infeed per pass outside and 0.012 in inside. The thread is done when its roots reach the root diameter on the drawing.
    • Back out before you come back. At the end of a pass the tool is still in the groove. Bringing the carriage back without backing the tool out would cut the crests off.
    • Keep the pitch. A pass at another pitch cuts a second helix across the first: a crossed thread.
    • Leave somewhere to stop. The tool runs into a shoulder unless a relief groove gives it room, which is why the thumb screw has one.

    Supporting detail: Addendum 64 — How a manual lathe keeps every pass on one helix.

    A form knurl moves metal instead of cutting it

    A form knurl moves metal instead of cutting it

    The knurling tool makes no chips. Its wheels press a pattern into the turning work, and the metal they push aside has to go somewhere: it rises between their teeth. The diameter over the points ends up larger than the blank was.

    Blank
    The diameter turned before knurling. On these drawings it is not given: the knurled size is, and you work back to the blank.
    Full points
    The wheels pressed deep enough that the diamond points are fully formed. Too shallow leaves flat tops; pressing past full depth crushes and flakes the points.
    Over the points
    The knurled diameter, measured across the crests.

    In the simulator the roots sink exactly as far as the crests rise, 0.010 in each at full depth, so a full knurl adds 0.020 in to the diameter. A real knurl’s growth depends on its pitch, the material and how hard it is pressed.

    This paired-wheel forming arrangement supports feeding along Z after engagement. Dorian’s straddle setup instructions (H-19) and paired diagonal-wheel example (H-48) describe that combination. The drawing is a generic teaching head, not a dimensioned catalog tool or a setup instruction for a particular machine.

    Things to try in the simulator; Checklist

    Things to try in the simulator

    • On the stepped pin, try to turn the body from 1.000 to 0.750 in in one pass. Read why the tool stops, then do it in two.
    • Stop a roughing pass short of a shoulder and Measure. Choose Face without cutting and measure again. Then make the radial facing cut: which geometry actually changed?
    • Face the end but stop the cut at X 0.200. Measure: what is left at the center?
    • Face 0.010 in past Z0 and make the rest of the pin to the readout. Measure the lengths. Which ones moved, and why?
    • On the bushing, bring the boring bar to the end before there is a hole. Then drill a 1/4 in hole and try again. Which drill gives the bar room?
    • Drill the bushing without the center drill and read the note under the inspection.
    • On the thumb screw, try a threading pass up to the head before cutting the relief groove.
    • Take one threading pass at 16 per inch, change to 13 and take another. Measure the thread.
    • Knurl the head straight on the 1.000 in bar, without turning a blank first. Measure it against the drawing.
    • On the knurled nut, part the ring off and watch where the blade breaks through.
    What this simulator leaves out

    What this simulator leaves out

    The simulator is about which tool does what, in what order, to what size. It leaves out:

    • Speed and feed. The spindle is on or off. Spindle speed, feed rate and what they do to the cut are on Feeds and Speeds.
    • The cut itself. No tool wear, heat, chatter, deflection or surface finish. A drill cannot wander, so a hole started without a center drill is only noted, not drawn off center.
    • Setups. One setup only: no turning the part around, no second operation, no tailstock center supporting long work.
    • Threads and knurls, simplified. Thread pitch, crests and roots are checked along the required length; pitch diameter and functional thread fit are not verified. The form knurl illustrates displaced material and diameter growth. Its patterned section is schematic, not an exact volume-conservation calculation. Form and cut knurling use different mechanisms.
    • Its numbers. Inch only. The tolerances, the tool limits and the parts are teaching values, not tool-maker data and not a standard.

    Tolerances on the drawings mean the same as on Tolerances and Fits: a size on a limit passes.

    The starting method for a real hole depends on the drill. For example, Haas distinguishes center drilling from spotting for carbide twist drills; this model does not predict drill wandering.

    Engineering Fundamentals/Motion and Rotation

    Gear Ratios

    Follow tooth counts through pairs, idlers and compound trains; multiply stage efficiencies and choose gears to meet speed and torque limits.

    Experiment: trade speed for turning effort; Interactive

    Experiment: trade speed for turning effort

    Predict first: a 20-tooth gear turns at 120 rpm clockwise and drives a 40-tooth gear. Will the larger gear turn faster or slower? What changes if you add an idler between them?

    One mesh: 2:1 reduction

    AA · 20 teeth↻ 120 rpmDRIVER / INPUTBB · 40 teeth↺ 60 rpmDRIVEN / OUTPUT
    B has 2× as many teeth as A. Each passing tooth advances B by one tooth space; B turns 0.5× as fast, in the opposite direction. At 120 rpm clockwise and 2 N·m input, output B is 60 rpm CCW and 4 N·m ideally. The dashed circles are pitch circles, where the speeds match.

    Add an idler: still 2:1

    AA · 20 teeth↻ 120 rpmDRIVER / INPUTII · 30 teeth↺ 80 rpmIDLERBB · 40 teeth↻ 60 rpmDRIVEN / OUTPUT
    The idler changes direction twice: A → I → B. Its 30 teeth cancel from (30 ÷ 20) × (40 ÷ 30). At 120 rpm clockwise and 2 N·m input, output B is 60 rpm CW and 4 N·m ideally. The dashed circles are pitch circles, where the speeds match.

    Two stages: 2 × 2 = 4:1

    B + C: 60 rpm CCWOne rigid shaft · same speedMESH 1MESH 2AA · 20 teethBB · 40 teethCC · 20 teethDD · 40 teeth
    B and C turn together. Multiply the two reductions: (40 ÷ 20) × (40 ÷ 20) = 4. At 120 rpm clockwise and 2 N·m input, output D is 30 rpm CW and 8 N·m ideally. The two front-view meshes are separated on the page; the dashed connector represents their common shaft.

    All three examples use the same ideal input: 120 rpm and 2 N·m. Input power is 25.13 W, and ideal output power is also 25.13 W. More output torque comes with less speed.

    With each actual mesh at 96% efficiency, the pair delivers 3.84 N·m and 24.13 W; the idler train delivers 3.6864 N·m and 23.16 W; the compound train delivers 7.3728 N·m and 23.16 W. Their output speeds remain 60, 60 and 30 rpm. This comparison charges a loss at both idler meshes.

    Count the teeth to find the speed

    Count the teeth to find the speed

    The driver supplies motion; the driven gear receives it. For one external gear mesh, each tooth passing on the driver advances the driven gear by one tooth space. A gear with twice as many teeth needs twice as many passing teeth to complete a turn.

    Output speed = input speed × driver teeth ÷ driven teeth. A 20-tooth driver at 120 rpm driving 40 teeth gives 120 × 20 ÷ 40 = 60 rpm. External meshing reverses the direction.

    This lesson uses reduction ratio i = input speed ÷ output speed, with speed magnitudes. A 2:1 reduction means two input turns for one output turn. Ratios above 1 reduce speed; ratios below 1 increase it. At zero speed, use tooth counts to find the ratio; do not divide 0 by 0.

    Notation map: this page's original equations use N for teeth and n for speed. The course uses n for teeth, ω for angular velocity and τ for torque. Thus page N = course n; page speed n is written ω in the additions below. GR and i name the same reduction ratio.

    In course notation, using magnitudes: GR = nout/nin = dout/din = ωin/ωout = τout/τin for an ideal single pair. Here d is pitch diameter; the torque equality assumes no losses. For a compound train, multiply the stage ratios; the first and last tooth counts alone do not give the overall ratio.

    Supporting detail: Addendum 65 — Why tooth counts work, and what the dashed circles mean.

    An idler and a compound shaft do different jobs

    An idler and a compound shaft do different jobs

    One mesh reverses

    A → B turns the output opposite to the input, viewed from the same end of each shaft.

    An idler cancels

    A → I → B reverses twice. I affects its own speed and the spacing, but its tooth count cancels from the end-to-end ratio.

    Compound stages multiply

    A → B, then C → D, with B and C fixed together: i = (NB/NA) × (ND/NC).

    Same shaft means the same angular speed. A large B and a small C fixed to one shaft make the same number of turns in the same direction. Their rim speeds differ because their radii differ. They do not mesh with each other.

    In the compound example, 20 → 40 teeth halves the speed. A second 20 → 40 stage halves it again: 120 → 60 → 30 rpm. The two external meshes make the final output turn in the same direction as the input.

    An idler is not another reduction stage. Drop its tooth count when finding the end-to-end ratio, but count every external mesh for direction: odd means opposite; even means the same, viewed from the same end of the parallel shafts. Do not drop a gear that shares a shaft with a different gear in a compound train.

    More torque costs speed; it does not create power

    More torque costs speed; it does not create power

    Torque is turning effort. In this ideal, lossless train at steady load, output torque magnitude = input torque magnitude × reduction ratio. A 2:1 reduction changes 120 rpm and 2 N·m into 60 rpm and 4 N·m. The 4:1 compound example gives 30 rpm and 8 N·m.

    Rotational power is torque × angular speed: P = T × 2πn/60 when T is in N·m and n is in rpm. Both sides of either example carry 25.13 W ideally. Real friction and other losses leave less output power. Tooth strength, bearings, shafts, lubrication and the motor all limit usable torque.

    At zero speed, mechanical power is zero. A loaded, stationary gear train can still carry torque. The lab shows ideal static torque balance in that case; it does not model motor stall behavior or promise a safe load.

    Supporting detail: Addendum 66 — Primary references and model boundaries.

    Connect the gears to Angular Motion, Rotation and Linear Speed and Torque.

    Stage efficiencies multiply; losses accumulate

    Stage efficiencies multiply; losses accumulate

    Each stage receives only the power that survived the stage before it. Use decimal efficiencies and multiply: ηtotal = η1 × η2 × η3. Never add or average them. See Power and Efficiency for the general meaning of efficiency.

    Power through a three-stage gear train Three successive driver and driven pairs, with the driven shaft of each stage connected to the next driver. Each stage passes 96 percent of its input power: 1000 watts becomes 960, then 921.6, then 884.736 watts. Total efficiency is 0.96 cubed. Stage 1: × 0.961000 → 960 W Stage 2: × 0.96960 → 921.6 W Stage 3: × 0.96921.6 → 884.736 W shared shaft ↓shared shaft ↓ output η total = 0.96 × 0.96 × 0.96 = 0.884736 (88.47%) 11.53% of input power is lost
    Power-flow schematic, with gear pairs shown by pitch circles. The stages are separated for clarity; each connecting shaft turns its attached gears together.

    At 98% per stage, three stages give 0.98³ = 0.941192: about 5.88% total loss, not 6%. Fewer, higher-quality stages often beat many cheap stages for efficiency, provided they can meet the ratio and load requirements.

    Supporting detail: Addendum 67 — Why adding losses is only an approximation.

    Positive drives keep the speed ratio; losses reduce torque

    Positive drives keep the speed ratio; losses reduce torque

    A positive drive keeps input and output linked in a fixed ratio without slipping. Gears, chains and timing belts are positive drives. A slipping flat belt or V-belt is not. Follow Rotation and Linear Speed for the connection from rotation to belt travel.

    At a stated steady input speed and load, use magnitudes:

    ωout = ωin/i
    τout = τin × i × ηtotal
    Pout = ηtotal × Pin

    The teeth still set the speed exactly in this model. Efficiency reduces output torque from its ideal value. It does not reduce output rpm as well. Use matching torque units on both sides: lbf·ft or N·m. The course conversion is 1 rpm ≈ 0.1047 rad/s when angular speed in rad/s is needed.

    Supporting detail: Addendum 68 — Follow both stages of one loaded train.

    Count stages for ratio, meshes for direction and stated losses

    Count stages for ratio, meshes for direction and stated losses

    For a simple train A → I → B, the idler cancels from (NI/NA) × (NB/NI) = NB/NA. The two external meshes still reverse direction twice.

    Follow the loss assumption in the problem. Real meshes lose some power, but a problem may explicitly ignore it. If every actual mesh is 96% efficient, A → I → B has ηtotal = 0.96². If a whole stage including its idler is assigned 96%, use that stage value once. If η = 1.00 is stated, ignore losses. Do not infer the loss count from the reduction-stage count when an idler is present.

    Choose teeth, then check both output limits; Checklist; Practice

    Choose teeth, then check both output limits

    • Record input speed and torque, the output speed ceiling and torque floor, available integer tooth counts, maximum ratio per stage, and the loss assumption.
    • Use the speed ceiling to find i ≥ ωin/ωceiling. With at most R:1 per stage, k reduction stages can provide at most Rk:1.
    • For each candidate stage count k, calculate ηtotal and check the torque bound i ≥ τfloor/(τin × ηtotal). Use the larger of the speed and torque bounds.
    • Choose whole-tooth pairs within the range and per-stage limit. Connect successive pairs by shared shafts. Multiply their actual ratios; do not assume a rounded target is achievable.
    • Calculate output speed and torque, keeping full precision for both limit checks. Check direction by counting external meshes. An added idler may require recalculating losses.

    To choose the faster of feasible designs at the same input speed, compare their actual overall ratios: the smaller one is faster. A feasible design is not automatically the fastest possible design.

    Supporting detail: Addendum 69 — Worked design: a winch with a speed ceiling and torque floor.

    Practice multiplying efficiencies Practice designing to limits

    Machining/Measurement and Fit

    Tolerances and Fits

    The permitted size ranges on a hole and a shaft decide whether the two have clearance, interference, or could have either.

    A size tolerance gives two limits

    A size tolerance gives two limits

    Manufacturing produces variation. For each diameter in this lab, the drawing gives a size between two limits. A measured diameter inside that interval passes this size check.

    Nominal size
    The size a feature is named by, such as Ø0.7500 in. Ø means diameter. Every limit is measured from this number.
    Deviation
    How far a limit sits above (+) or below (−) nominal. +0.0010 puts a limit 0.0010 in above it.
    Limits
    Nominal plus each deviation: the largest and smallest sizes that pass inspection. Ø0.7500 +0.0010 / 0.0000 means anything from 0.7500 in to 0.7510 in.
    Tolerance
    The width of that range: largest limit minus smallest limit. Here, 0.0010 in.

    A size exactly on a limit passes. On this page the limits are part of the allowed range: a 0.7500 in hole and a 0.7510 in hole are both good. A 0.7511 in hole is not.

    Clearance is the hole size minus the shaft size

    Clearance is the hole size minus the shaft size

    Put a shaft in a hole and the number that decides the fit is the difference between their two diameters.

    clearance = hole size − shaft size

    • Positive: the hole is bigger. There is a gap, and the shaft slides in.
    • Negative: the shaft is bigger. That is interference: on paper the parts overlap, so the shaft has to be pressed in, or it does not go at all.
    • Zero: exactly the same size, called line-to-line. No gap and no overlap.

    Clearance is measured across the whole diameter. With the shaft centred in the hole, the gap you would see on each side is half of it:

    gap on each side = clearance ÷ 2

    A shaft in a bored hole, cut in half along its axis A 0.7506 inch hole with a 0.7501 inch shaft through it. The 0.0005 inch clearance is split between the two sides, leaving a 0.00025 inch gap above the shaft and the same below it. The gap is drawn far wider than it would really look. SHAFT ⌀ 0.7501 in HOLE ⌀ 0.7506 in gap each side = (0.7506 − 0.7501) ÷ 2 = 0.00025 in
    The gap is drawn hugely enlarged. At the size of this drawing, a 0.00025 in gap would be far too thin to see. Hatching marks the cut face of the block.
    Three kinds of fit, decided by the two worst cases

    Three kinds of fit, decided by the two worst cases

    You do not have to check every pair of parts a drawing allows. Two pairs settle it: the tightest and the loosest.

    Tightest legal pair
    The smallest hole with the largest shaft. Its clearance is the least any good pair can have:
    hole minimum − shaft maximum
    Loosest legal pair
    The largest hole with the smallest shaft. Its clearance is the most any good pair can have:
    hole maximum − shaft minimum
    The fit is named by where those two numbers land.
    FitTightest pairLoosest pairWhat it means
    Clearancegap, or exactly zerogapNo permitted pair has dimensional overlap. Equality has no gap.
    TransitionoverlapgapSome good pairs slide together; some have to be pressed.
    Interferenceoverlapoverlap, or exactly zeroNo permitted pair has a positive gap. Equality has no overlap.

    The zero cases are deliberate. When the tightest pair comes out at exactly zero, every good pair either has a gap or just meets, so this page counts it as a clearance fit and the lab marks it zero at the limit. The same goes the other way for interference.

    Hole and shaft tolerance ranges for the three kinds of fit Three panels. In each, a box shows the range of sizes allowed for the hole and a second box the range allowed for the shaft, drawn against the same dashed nominal line. For a clearance fit the whole hole box sits above the shaft box. For a transition fit the two boxes share part of their height. For an interference fit the whole shaft box sits above the hole box. HOLE SHAFT CLEARANCE hole always bigger HOLE SHAFT TRANSITION could be either HOLE SHAFT INTERFERENCE shaft always bigger
    Higher means bigger. Each box is the range of sizes one part may have; the dashed line is the nominal size. The hatched band in the middle panel is the range of sizes both parts are allowed to have, which is what makes an overlap possible.
    Fit lab: make two parts, then try them together; Interactive

    Fit lab: make two parts, then try them together

    Pick a drawing, then set the size each part actually came out at. Watch whether each part passes inspection, and whether the two go together.

    • The section view is the pair you made, cut in half. The gold and blue bands are where each wall is allowed to be.
    • The pair map is every pair the drawing allows. Anything above the diagonal has a shaft bigger than its hole.
    The lab’s example drawings. All are made-up teaching limits on a Ø0.7500 in nominal, not values from any standard.
    DrawingHole limitsShaft limitsTightest pairLoosest pairFit
    Slides freely0.7500 to 0.75100.7480 to 0.7490+0.0010+0.0030Clearance
    Could go either way0.7500 to 0.75100.7498 to 0.7506−0.0006+0.0012Transition
    Pressed together0.7500 to 0.75100.7515 to 0.7525−0.0025−0.0005Interference
    Two good parts can still make a bad pair; Watch out

    Two good parts can still make a bad pair

    Checking each diameter against its own limits does not by itself check the clearance of the selected pair.

    Take the transition drawing from the lab: holes from 0.7500 to 0.7510 in, shafts from 0.7498 to 0.7506 in.

    Hole made at 0.7502
    Inside 0.7500 to 0.7510. Passes.
    Shaft made at 0.7505
    Inside 0.7498 to 0.7506. Passes.
    Together
    0.7502 − 0.7505 = −0.0003 in. The shaft is bigger than the hole. They overlap.

    Neither part is wrong. The drawing allows that pair, and that is what transition fit allows. To exclude dimensional overlap for every permitted pair, the tightest pair must have zero clearance or more. To guarantee a positive dimensional gap, it must be greater than zero. Neither check by itself guarantees assembly: shape, surface finish, temperature and the assembly method also matter.

    Call the fit from the drawing alone; Interactive

    Call the fit from the drawing alone

    Read the two callouts, work out the tightest and loosest pairs, and call it before you look.

    Five drawings, each on a Ø0.7500 in nominal. Work out the limits, then the tightest and loosest pairs. The answer follows each one.

    1. Hole +0.0012 / 0.0000, shaft −0.0004 / −0.0011. Clearance: +0.0004 to +0.0023.
    2. Hole +0.0008 / 0.0000, shaft +0.0010 / +0.0003. Transition: −0.0010 to +0.0005.
    3. Hole +0.0006 / 0.0000, shaft +0.0018 / +0.0012. Interference: −0.0018 to −0.0006.
    4. Hole +0.0010 / 0.0000, shaft 0.0000 / −0.0007. Clearance, zero at the limit: 0.0000 to +0.0017.
    5. Hole +0.0015 / +0.0005, shaft +0.0007 / −0.0003. Transition: −0.0002 to +0.0018.
    What this lab leaves out

    What this lab leaves out

    The lab compares two diameters and nothing else. A real assembly also depends on:

    • Shape. No hole is perfectly round or straight, and no shaft is either. A shaft can measure in tolerance everywhere a micrometer touches it and still be bent too far to go in.
    • Temperature. Parts grow when they warm up, so the same part can measure differently straight off the machine and an hour later.
    • Surface finish and measurement. A rough surface and an imperfect measurement both blur the last decimal place the drawing asks for.
    • Force. Whether an interference pair can be pressed together, how hard, and what that does to the parts are questions about the material, not about the two sizes.

    The limits in the lab are made-up teaching values. Real drawings often take limits from published tables of standard fits; those tables are not reproduced here.

    For measuring a real part, start with choosing a measuring tool, reading its scale, and checking the measurement method. See Shop Layout and Angle Measurement for transferring dimensions onto the work.

    Machining/Measurement and Fit

    Surface Texture and Finish

    A machined surface has a lay, a waviness and a roughness; a stylus trace and a filter turn them into Ra, Rz and Rt, and a drawing symbol says what is required and how the surface may be made.

    A surface has lay, waviness and roughness

    A surface has lay, waviness and roughness

    Every manufactured surface carries marks from the process that made it. Surface texture describes those marks: which way they run, how far apart they are, and how tall they stand.

    Roughness
    The finest, closely spaced marks, such as the feed marks a cutting tool leaves at each pass or the scratches of abrasive grit.
    Waviness
    A longer, gentler undulation that the roughness sits on, for example from vibration or deflection while the part was made.
    Lay
    The direction of the main surface pattern, set by how the tool or the part moved.
    Form
    The overall shape, such as a face that is slightly curved. Size and geometric tolerances control form; surface texture is what is left on top of it.
    A patch of surface with parallel marks running front to backA 5.6 mm square patch of surface with parallel marks running front to back, 0.20 mm apart, on a gentle waviness. The stylus trace runs left to right, across the marks. The solid part of the trace is the evaluation length, five sections of 0.80 mm. Heights are drawn 50 times larger than widths.STYLUSFRONTRIGHT SIDE5.6 mmHeights ×50
    Heights drawn 50 times larger than widths. A made-up 5.6 mm patch of surface with parallel marks 0.2 mm apart running front to back, on a gentle waviness. At true scale the marks would be far too small to see. The lines are the crests of the marks; the blue line is a stylus trace across them.
    A stylus traces one line, and a filter splits it; Watch out

    A stylus traces one line, and a filter splits it

    A contact instrument drags a fine stylus along a straight line and records its height. That record is the measured profile. Everything else is worked out from it.

    Trace direction
    Usually across the lay, so the stylus crosses the marks. If the drawing specifies a measuring direction, that direction governs.
    Mean line
    A smooth line the filter draws through the measured profile, a weighted average of the heights around each point. This mean line is the waviness.
    Cutoff λc
    The wavelength where the filter splits the profile. Undulations much longer than λc stay in the mean line; marks much shorter than λc are left over for the roughness. A wave exactly λc long is shared half and half.
    Roughness profile
    The measured profile minus the mean line.
    Evaluation length
    The part of the trace the numbers come from. In this lab it is five sections, each λc long. The trace runs one more λc at each end so the filter has heights on both sides of every evaluated point.
    The measured profile, its mean line, and the roughness profileTop: the measured profile along the trace, with the filter's mean line through it; that mean line is the waviness. Bottom: the roughness profile, which is the measured profile minus the mean line, over the five 0.80 mm sections of the evaluation length. Ra 1.55 µm is shown as dashed lines at plus and minus Ra. Section heights from peak to valley: 6.55, 6.56, 6.70, 6.57, 6.87 µm; their mean is Rz 6.65 µm. The largest peak-to-valley height over the whole evaluation length is Rt 7.10 µm. Heights are drawn far larger than lengths.MEASURED PROFILEmean line, which is the waviness-50510extra trace for the filterµmheights×92ROUGHNESS PROFILE = MEASURED − MEAN LINE-10-50510µmheights×8512345+Ra−RameanRtZ1 6.55Z2 6.56Z3 6.70Z4 6.57Z5 6.87012345mm along the trace
    The same trace, before and after the filter, with λc 0.8 mm. Top: the measured profile and its gold mean line; the shaded ends are the extra trace. Bottom: the roughness profile over the five sections, with each section’s peak (▼) and valley (△), its height as a red bar, and ±Ra dashed. Heights are drawn far larger than lengths; each plot gives its factor at the right.

    The filter decides what counts as roughness, not the size of the undulation. Change λc and the same undulation can move from the waviness into the roughness. That is why a measurement result needs its cutoff, and why a drawing or its standard says which one applies.

    Ra, Rz and Rt read the roughness differently

    Ra, Rz and Rt read the roughness differently

    All three come from the same roughness profile. They answer different questions about it. This lab uses the older ISO 4287 convention with five sections for Rz; the drawing-symbol comparison separately shows older and current graphics.

    Ra
    The average distance of the roughness profile from its mean line over the evaluation length. Peaks and valleys count alike.
    Rz
    The average of the sections’ peak-to-valley heights. Each section counts once, whatever is in it.
    Rt
    The largest peak-to-valley height over the whole evaluation length: the single highest peak to the single deepest valley.

    Ra = average of |roughness| over the evaluation length

    Rz = (Z1 + Z2 + Z3 + Z4 + Z5) ÷ 5

    For the trace above: Ra 1.55 µm; Rz = (6.55 + 6.56 + 6.70 + 6.57 + 6.87) ÷ 5 = 6.65 µm; Rt 7.10 µm.

    The values are in micrometres (µm). They can also be given in microinches (µin): one inch is exactly 25.4 mm, so 1 µin is exactly 0.0254 µm, and Ra 1.6 µm is 63.0 µin.

    Name the standard. Current documents use the ISO 21920 series. Many existing drawings and instruments use the older ISO 4287 parameters and ISO 1302 symbols. The names Ra, Rz and Rt carried over, but the standards are not identical, so this page says which one each symbol comes from and does not mix them. For a real part, check which standard the drawing invokes.

    Surface texture lab: trace a surface and hold it to a drawing; Interactive

    Surface texture lab: trace a surface and hold it to a drawing

    Change the surface, the trace and the drawing, and watch the numbers. Start with experiment 1.

    • The block is a few millimetres of surface. Lines are the crests of the marks; the blue line is the stylus trace, solid over the evaluation length.
    • The plots are that trace: the measured profile with its mean line, then the roughness profile with its five sections.
    • The drawing holds one requirement against this one trace and writes it as a callout in the view you choose.
    Parallel marks 0.2 mm apart, mark height 6 µm, λc 0.8 mm unless stated. Teaching surfaces, not predictions for any process.
    ExperimentSettingRa, µmRz, µmRt, µm
    Across or along the marksTrace left to right, across1.556.657.10
    Trace front to back, along0.3281.591.70
    Where waviness ends12 µm waviness, λc 0.8 mm1.576.757.43
    Same surface, λc 2.5 mm2.1111.311.8
    One deep scratchNo scratch1.556.657.10
    Scratch three times the mark height1.8810.523.4

    The same-Ra experiment is the figure in the next section.

    Same Ra, different surfaces

    Same Ra, different surfaces

    These three roughness profiles all have Ra 1.6 µm. They are not the same surface. All three plots use the same height scale.

    Roughness profile: rounded valleys, sharp crestsTop: the measured profile along the trace, with the filter's mean line through it; that mean line is the waviness. Bottom: the roughness profile, which is the measured profile minus the mean line, over the five 0.80 mm sections of the evaluation length. Ra 1.6 µm is shown as dashed lines at plus and minus Ra. Section heights from peak to valley: 6.76, 6.77, 6.90, 6.78, 7.08 µm; their mean is Rz 6.86 µm. The largest peak-to-valley height over the whole evaluation length is Rt 7.32 µm. Heights are drawn far larger than lengths.ROUGHNESS PROFILE = MEASURED − MEAN LINE-20-1001020µmheights×4312345+Ra−RameanRtZ1 6.76Z2 6.77Z3 6.90Z4 6.78Z5 7.08012345mm along the trace
    Rounded valleys, sharp crests. Ra 1.6, Rz 6.86, Rt 7.32 µm.
    Roughness profile: flat tops, narrow groovesTop: the measured profile along the trace, with the filter's mean line through it; that mean line is the waviness. Bottom: the roughness profile, which is the measured profile minus the mean line, over the five 0.80 mm sections of the evaluation length. Ra 1.6 µm is shown as dashed lines at plus and minus Ra. Section heights from peak to valley: 11.1, 10.4, 10.6, 10.9, 11.1 µm; their mean is Rz 10.8 µm. The largest peak-to-valley height over the whole evaluation length is Rt 11.2 µm. Heights are drawn far larger than lengths.ROUGHNESS PROFILE = MEASURED − MEAN LINE-20-1001020µmheights×4312345+Ra−RameanRtZ1 11.1Z2 10.4Z3 10.6Z4 10.9Z5 11.1012345mm along the trace
    Flat tops, narrow grooves. Ra 1.6, Rz 10.8, Rt 11.2 µm. Most of the profile sits above the mean line.
    Roughness profile: narrow peaks, flat valleysTop: the measured profile along the trace, with the filter's mean line through it; that mean line is the waviness. Bottom: the roughness profile, which is the measured profile minus the mean line, over the five 0.80 mm sections of the evaluation length. Ra 1.6 µm is shown as dashed lines at plus and minus Ra. Section heights from peak to valley: 10.4, 11.0, 11.1, 10.4, 11.0 µm; their mean is Rz 10.8 µm. The largest peak-to-valley height over the whole evaluation length is Rt 11.2 µm. Heights are drawn far larger than lengths.ROUGHNESS PROFILE = MEASURED − MEAN LINE-20-1001020µmheights×4312345+Ra−RameanRtZ1 10.4Z2 11.0Z3 11.1Z4 10.4Z5 11.0012345mm along the trace
    Narrow peaks, flat valleys. Ra 1.6, Rz 10.8, Rt 11.2 µm. Most of the profile sits below the mean line.
    • Ra alone cannot tell these apart.
    • Rz separates the rounded marks from the other two, but not flat tops from narrow peaks.
    • Where the extremes sit, above or below the mean line, separates those two.

    One number does not describe a surface. That is why a drawing names the parameter, not just a value.

    Reading a surface texture symbol

    Reading a surface texture symbol

    The symbol’s point touches the line that represents the surface in a drawing view. Its shape says how the surface may be made; the text beside it says what texture is required.

    The three process requirements, in the older and the current graphics. Schematic drawings: the standards dimension the symbols exactly.
    SymbolOlder, ISO 1302Current, ISO 21920-1Meaning
    BasicOlder symbol (ISO 1302): any process permitted, Ra 3.2 µmSchematic ISO 1302:2002 symbol. A check-mark shape whose short left leg and long right leg meet at the surface. A line runs right from the top of the long leg, with Ra 3.2 written below it.Ra 3.2Current symbol (ISO 21920-1): any process permitted, Ra 3.2 µmSchematic ISO 21920-1:2021 symbol. A check-mark shape whose short left leg and long right leg meet at the surface. A line runs right from the top of the long leg, with Ra 3.2 written below it. A separate short dash floats above the short leg, touching neither leg.Ra 3.2Any manufacturing process is permitted. This does not forbid machining; it simply does not require it.
    BarOlder symbol (ISO 1302): material removal required, Ra 3.2 µmSchematic ISO 1302:2002 symbol. A check-mark shape whose short left leg and long right leg meet at the surface, with a bar across the top of the short leg closing the lower triangle. A line runs right from the top of the long leg, with Ra 3.2 written below it.Ra 3.2Current symbol (ISO 21920-1): material removal required, Ra 3.2 µmSchematic ISO 21920-1:2021 symbol. A check-mark shape whose short left leg and long right leg meet at the surface, with a bar across the top of the short leg closing the lower triangle. A line runs right from the top of the long leg, with Ra 3.2 written below it. A separate short dash floats above the short leg, touching neither leg.Ra 3.2Material removal is required: the surface must be produced by removing material, for example by machining.
    CircleOlder symbol (ISO 1302): material removal prohibited, Ra 3.2 µmSchematic ISO 1302:2002 symbol. A check-mark shape whose short left leg and long right leg meet at the surface, with a circle in the V touching both legs. A line runs right from the top of the long leg, with Ra 3.2 written below it.Ra 3.2Current symbol (ISO 21920-1): material removal prohibited, Ra 3.2 µmSchematic ISO 21920-1:2021 symbol. A check-mark shape whose short left leg and long right leg meet at the surface, with a circle in the V touching both legs. A line runs right from the top of the long leg, with Ra 3.2 written below it. A separate short dash floats above the short leg, touching neither leg.Ra 3.2Material removal is prohibited: the surface must not be machined or otherwise have material removed to meet this requirement.
    Current or older
    An ISO 21920-1 symbol carries a short separate dash above the short leg, touching neither leg. The older ISO 1302 graphic has none, so the familiar older marks are not the current symbols unchanged.
    The requirement
    The parameter and its limit, such as Ra 3.2, sit below the long line, to the right of the long leg, in both.
    The lay
    In an ISO 21920-1 callout the process and the lay sit above the long line. In the older symbols the lay symbol sits beside the long leg, below the line.

    A complete specification can state more than this page draws, such as the measuring direction. The process mark is a requirement about how the surface is made; a profile measurement checks the texture, not whether material was removed.

    Lay symbols belong to the drawing view

    Lay symbols belong to the drawing view

    A lay symbol says which way the marks run. = and ⊥ are judged against the plane of projection of the view the symbol is drawn in, not against the page or the screen.

    A patch of surface with parallel marks running front to backA 5.6 mm square patch of surface with parallel marks running front to back, 0.60 mm apart. Heights are drawn 100 times larger than widths. An arrow shows the direction the right side view looks.
    = Parallel. Parallel to the plane of projection of the view in which the symbol is used.
    A patch of surface with parallel marks running front to backA 5.6 mm square patch of surface with parallel marks running front to back, 0.60 mm apart. Heights are drawn 100 times larger than widths. An arrow shows the direction the front view looks.
    ⊥ Perpendicular. Perpendicular to the plane of projection of the view in which the symbol is used.
    A patch of surface with two sets of marks crossing, each 30 degrees off front-to-backA 5.6 mm square patch of surface with two sets of marks crossing, each 30 degrees off front-to-back, 0.60 mm apart. Heights are drawn 100 times larger than widths.
    X Crossed. Crossed in two oblique directions relative to the plane of projection of the view in which the symbol is used.
    A patch of surface with marks running in many directionsA 5.6 mm square patch of surface with marks running in many directions, 0.60 mm apart. Heights are drawn 100 times larger than widths.
    M Multidirectional. Multidirectional.
    A patch of surface with circular marks around the centreA 5.6 mm square patch of surface with circular marks around the centre, 0.60 mm apart. Heights are drawn 100 times larger than widths.
    C Circular. Approximately circular relative to the centre of the surface to which the symbol applies.
    A patch of surface with marks radiating from the centreA 5.6 mm square patch of surface with marks radiating from the centre, 0.60 mm apart. Heights are drawn 100 times larger than widths.
    R Radial. Approximately radial relative to the centre of the surface to which the symbol applies.
    A patch of surface with scattered pits with no directionA 5.6 mm square patch of surface with scattered pits with no direction, 0.60 mm apart. Heights are drawn 100 times larger than widths.
    P Particulate. Particulate, non-directional or protuberant.

    The first two figures are the same surface. Its marks run front to back: parallel to the right side view’s plane of projection, so = there, and perpendicular to the front view’s, so ⊥ there. The arrow shows which way each view looks.

    Lay and trace direction are different things. The lay says how the marks run. The trace direction says how they were measured; it is usually across the lay unless the drawing specifies one.

    The lay symbols and meanings here are those of ISO 1302:2002.

    Older notation: N grades and triangle marks; Interactive

    Older notation: N grades and triangle marks

    Older drawings may give a roughness grade number or a row of triangles instead of a parameter and value.

    Roughness grade numbers

    Each grade number stands for one Ra value. A grade is an Ra value: it does not convert to Rz.

    Grade numbers and the Ra values they stand for. Microinches are exact conversions, rounded for display.
    GradeRa, µmRa, µin
    N10.0251.0
    N20.052.0
    N30.13.9
    N40.27.9
    N50.415.7
    N60.831.5
    N71.663.0
    N83.2126
    N96.3248
    N1012.5492
    N1125984
    N12501969

    Triangle marks

    One catalog prints a comparison of downward triangle marks with Ra values, under the heading “Extract from JIS B 0601-2001”. It calls the comparison approximate, not rigorous. It gives no acceptance limits, no dates for the marks, and no Rz equivalents, so read it as a rough historical guide.

    The catalog’s comparison, as printed.
    MarksRa values listed, µm
    4 downward triangles 4 triangles0.012, 0.025, 0.05, 0.1, 0.2
    3 downward triangles 3 triangles0.4, 0.8, 1.6
    2 downward triangles 2 triangles3.2, 6.3
    1 downward triangle 1 triangle12.5, 25

    One requirement, four ways

    Slide the Ra limit and compare the current symbol, the older symbol, the grade number and the triangle marks for the same value.

    Read the callout; Interactive

    Read the callout

    Ten short questions on the symbols, the lay, the older notations and what the numbers respond to.

    1. The older ISO 1302 symbol with a circle in its V, and Ra 3.2. May this surface be machined to reach Ra 3.2 µm? No: material removal is prohibited. The circle in the V prohibits material removal. Material removal is prohibited: the surface must not be machined or otherwise have material removed to meet this requirement.
    2. A current symbol with an open V, no connecting material-removal crossbar or circle, a separate identifying dash above the short leg, and Ra 6.3. Does this callout forbid machining the surface? No, any process is permitted. The V has no connecting material-removal crossbar or circle: it is the basic symbol. The separate floating dash identifies ISO 21920; it does not require machining. Any manufacturing process is permitted. This does not forbid machining; it simply does not require it.
    3. A symbol with a bar closing its V, a short separate dash above the short leg, and Ra 0.8. Which standard's graphic is this? ISO 21920-1 (current). The short separate dash above the short leg, touching neither leg, marks an ISO 21920-1 symbol. The older ISO 1302 graphic has no dash.
    4. A block of surface whose marks run front to back. An arrow shows the right side view looking at its right side. The marks run front to back. Which lay symbol belongs on this surface in the right side view? =. The right side view looks along the arrow. Marks running front to back are parallel to that view's plane of projection, so the symbol is =. The same surface takes ⊥ in the front view: the symbol depends on the view, not on the screen or page.
    5. A block of surface whose marks run front to back. An arrow shows the front view looking at its front. The marks run front to back. Which lay symbol belongs on this surface in the front view? ⊥. The front view looks along the arrow. Marks running front to back are perpendicular to that view's plane of projection, so the symbol is ⊥. The same surface takes = in the right side view: the symbol depends on the view, not on the screen or page.
    6. The grade number N8. An older drawing gives grade N8. What does that stand for? Ra 3.2 µm. N8 stands for Ra 3.2 µm (126 µin). Each step of the grade number doubles or halves the Ra value, near enough.
    7. Three downward triangles. In the catalog comparison, which Ra values sit beside three triangles? 0.4, 0.8, 1.6 µm. Three triangles sit beside Ra 0.4, 0.8, 1.6 µm. The catalog calls this comparison approximate, not rigorous. Read it as a rough historical guide, not as acceptance limits.
    8. A current symbol with Rz 6.3. Which N grade means the same as this Rz 6.3 µm requirement? None: grades are Ra values. Grade numbers each stand for an Ra value; N9 is Ra 6.3 µm, not Rz 6.3 µm. Ra and Rz measure different things, and how they compare depends on the shape of the profile, as the same-Ra experiment in the lab shows.
    9. One deep scratch crosses this otherwise even trace. Which number has the largest proportional change? Rt. In the lab, a scratch three times the mark height takes Rt from 7.10 to 23.4 µm, Rz from 6.65 to 10.5 µm and Ra from 1.55 to 1.88 µm. Rt spans the highest peak to the deepest valley over the whole length. Rz averages five section heights, diluting localized extremes; filtering can spread a scratch across section boundaries. Ra averages every point.
    10. A block of surface with parallel marks running front to back, and a stylus trace running left to right across them. The trace on this surface crosses the marks. Traced along the marks instead, Ra would be: Much smaller. In the lab, Ra is 1.55 µm across the marks and 0.328 µm along them: the stylus misses the marks when it runs beside them. Tracing across the lay is the usual choice, but a direction the drawing specifies governs.
    What this lab leaves out

    What this lab leaves out

    The lab is a teaching model of one straight trace. A real measurement and a real acceptance decision involve more:

    • The instrument. A real stylus has a tip radius, and instruments apply a short-wavelength filter and remove the part’s form before filtering. The lab’s stylus is sharp and its part is flat.
    • The filter and parameters. This lab follows the older ISO 4287 teaching convention of five sections for Rz, with a Gaussian mean line having 50% transmission at λc. Dense samples resolve the narrow marks; numerical integration on a coarser grid computes the smooth mean line. This is not a compliant instrument or a complete ISO 21920 inspection setup, and a drawing or standard can call for other settings.
    • The decision. The lab compares one trace with one limit. The drawing and its standard say how many traces are taken, where, and how the results are judged.
    • The process. No trace shows whether material was removed. The process requirement is checked against how the part was made.
    • Scratches and pits. Whether an isolated flaw counts against a texture requirement is for the drawing and its standard to say.
    • Symbols. The drawings are schematic. The lay symbols are those of ISO 1302:2002; the lab writes the same symbols in the ISO 21920-1 lay position. Check the current standard before relying on one there. Inch-drawing (ASME) practice is not covered here.

    Sources

    Related pages: Tolerances and Fits, Lathe Operations, Milling Operations and Feeds and Speeds.

    Engineering Fundamentals/Power Transmission

    Keys and Keyways in Shaft-Hub Connections

    Trace torque through a keyed shaft-hub joint, identify common key forms, and distinguish key fit from axial retention.

    A key joins the shaft slot to the hub slot to transmit torque

    A key joins the shaft slot to the hub slot to transmit torque

    A key is a separate piece fitted between a shaft and the bore of a hub, the part of a pulley, sprocket or gear that fits around the shaft. Contact between the key and slot faces transfers turning force. Here, keyseat means the recess in the shaft and keyway means the matching slot in the hub. Other references sometimes use keyway for both; always identify which part is being cut.

    Separate end views of a shaft keyseat and hub keyway, followed by an assembled section with a key spanning both recesses.

    Schematic parallel-key joint. Clearances are exaggerated; obtain dimensions and fits from the drawing.

    Trace the turning load through the connection: shaft slot face → key → hub slot face, or the reverse when the hub drives the shaft. At the rim, the pulley, sprocket or gear transfers the load through its belt, chain or mating gear teeth. Not every hub is keyed; check how the actual assembly connects the hub to the shaft.

    Identify the key by its cross-section and seating shape; Practice

    Identify the key by its cross-section and seating shape

    KeyRecognizing feature
    Square parallel keyEqual width and height in cross-section; uniform section along its working length.
    Rectangular parallel keyUnequal width and height; uniform section along its working length.
    Woodruff keyA segment of a disk, with a curved bottom seated in a matching circular recess in the shaft.
    Gib-head keyA tapered key with a projecting head that provides a place to engage it for removal.

    Supporting detail: Addendum 70 — Public reference for key forms.

    Practice identifying keys

    Check key fit and axial retention as separate requirements

    Check key fit and axial retention as separate requirements

    For a parallel key, the side fit controls how the turning load is carried. Excessive side clearance permits movement; an overly tight fit can prevent assembly. Verify the specified top clearance too. A tapered key has a different seating action, so do not apply a parallel-key fit rule to it.

    Use the drawing's key designation, dimensions and tolerances. Do not choose a key size from shaft diameter alone or assume that half the key height belongs in each part.

    The key does not by itself define how the hub is held against movement along the shaft. Check the assembly drawing for axial retention as well as torque transmission. A hub that turns with the shaft is not necessarily secured against sliding along it.

    Bearings support the shaft relative to the housing; the keyed hub transfers torque between the shaft and the attached rotating part. For the bearing arrangement and the shaft's axial location, see Shaft Support and Axial Adjustment.

    To make and inspect the recesses, continue with Machining Keyseats and Keyways. That lesson connects shaft milling to broaching a through hub keyway.

    Machining/Milling

    Machining Keyseats and Keyways

    Choose a shaft or hub cutting method, then check keyseat or keyway location, width, depth and fit.

    A key joins the shaft slot to the hub slot to transmit torque

    A key joins the shaft slot to the hub slot to transmit torque

    Before choosing a cutting method, identify which part needs the recess: the keyseat in the shaft or the keyway in the hub. See Keys and Keyways in Shaft-Hub Connections for the joint's terminology, diagram and torque path.

    Identify the key by its cross-section and seating shape

    Identify the key by its cross-section and seating shape

    Use the specified key form and drawing dimensions to choose the feature you need to make. Review key forms, fit and axial retention before planning the cut.

    Mill a shaft keyseat with the cutter that matches its end and bottom shape

    Mill a shaft keyseat with the cutter that matches its end and bottom shape

    An end mill can make a straight, flat-bottom shaft keyseat that ends within the shaft's length. Its diameter leaves rounded ends in plan view; confirm that the key and drawing allow that shape. Use a permitted entry method for the selected cutter.

    A Woodruff keyseat cutter is a disk-shaped cutter on a shank. Its diameter forms the curved recess for a Woodruff key and its cutting width establishes the slot width. Match both dimensions to the required recess. Not every tool sold as a keyseat cutter is the correct tool for every key.

    1. Read the keyseat's width, depth, length or cutter diameter, and axial location from the drawing.
    2. Support and secure the shaft against rotation and displacement. Use Milling Vises and Strap Clamps for the setup.
    3. Align the shaft axis with the intended machine travel and locate its centerline using Mill Indicators and Part Zero. Set the cutter's cutting plane or path on that centerline, with the specified axial location and depth reference.
    4. Choose the tool and entry method with End Mill Anatomy and Cutter Selection and plan the cut with Milling Operations. Cut to the planned allowance, measure, then finish to the required dimensions.

    Review Equipment Operating Procedure and mill hazards in the safety collection before operation.

    Supporting detail: Addendum 71 — Why cutter selection includes more than width.

    Broach a through hub keyway; consider slotting when the geometry needs it; Practice

    Broach a through hub keyway; consider slotting when the geometry needs it

    A conventional keyway broach and guide bushing are useful for a straight keyway through a hub bore. See Broaching for the pass sequence. The same arrangement does not make a closed-end keyseat on the outside of a shaft.

    Shaping or slotting uses a reciprocating single-point tool to remove material in successive strokes. A suitable internal slotting setup can make a hub keyway when a through broach is unsuitable. Blind work still needs a planned tool runout and chip space; the method must fit the actual geometry.

    Practice choosing a method

    Check width, depth and location before using assembly as a fit check; Checklist

    Check width, depth and location before using assembly as a fit check

    • Clean the feature and remove burrs without rounding the functional edges.
    • Check width at several accessible positions using a suitable slot gauge, gauge blocks or measuring contacts. Select a tool with enough access and resolution for the tolerance; see Choosing Shop Measuring Tools.
    • Measure depth from the drawing's stated reference. A depth instrument needs a stable reference bridge or fixture on a round shaft; resting it arbitrarily on the curved surface changes the result.
    • For a hub, establish the specified bore-to-keyway measurement with an appropriate internal/keyway gauge or fixture. A reading across the bore and slot includes the bore dimension; it is not automatically the radial slot depth.
    • Check length, axial position and centerline location. Compare actual measurements with the drawing limits.
    • Check the specified key fit and assembly clearance. Investigate interference or unwanted movement instead of forcing the assembly together.

    A key that enters the slot is a useful functional check, but it does not prove depth, location or dimensional compliance.

    Machining/Production and Nontraditional Processes

    Broaching

    See how progressive teeth cut a profile, how a guided keyway broach works, and where rotary broaching differs.

    A broach divides a shaped cut among a row of teeth

    A broach divides a shaped cut among a row of teeth

    In conventional broaching, a tool moves in a straight line relative to the work. Successive cutting teeth reach farther into the material. Rise per tooth is that increase in cutting height between successive teeth; it is not the tooth spacing along the tool. The spaces between teeth hold chips.

    Roughing teeth remove most of the allowance. Semi-finishing teeth approach the final profile with smaller cuts. Finishing teeth establish size and finish; several may have the same height. The exact arrangement depends on the tool.

    Broach teeth increase in height through roughing and semi-finishing, then repeat the final height. An enlarged pair distinguishes rise per tooth from tooth spacing.

    Schematic side profile. Tooth heights are exaggerated; the small teeth enter first.

    Supporting detail: Addendum 72 — Why the finishing teeth need not keep getting taller.

    Push or pull describes the drive; internal or external describes the surface

    Push or pull describes the drive; internal or external describes the surface

    A push broach is driven from behind; a pull broach is drawn through by its leading end. An internal broach works inside a prepared opening. An external broach works on an outside surface, such as a flat or an external spline. These are separate distinctions: internal does not mean pull-only.

    A suitable hole broach can produce a square, hexagon or internal spline; a keyway broach cuts a slot in an existing bore. Conventional through broaching needs an exit path. Choose the tool from the required finished profile and starting-hole specification, not just a nominal shape name.

    Repeated parts can justify dedicated tooling because many cutting edges complete the profile in a short cycle. A small keyway set can also suit repair or short-run work. Compare Material-Removal Process Families and Selecting a Material-Removal Process; Vertical Band Machining covers cutting contours with a continuous band instead.

    Supporting detail: Addendum 73 — Production advantages depend on the job.

    A bushing guides the keyway broach; shims move its cutting edge outward

    A bushing guides the keyway broach; shims move its cutting edge outward

    The hub is the part surrounding the shaft. A slotted bushing fits its bore and guides the broach. A shim is a thin spacer behind the broach that increases the depth reached on a later pass. Broach, bushing and shims must be a compatible set.

    Section through a hub supported on an arbor press, with the ram above the broach, a bushing in the bore, and a shim behind the broach. Open space below permits the broach to exit.

    Conceptual later-pass setup, not a construction drawing or a statement of shop inventory. The shim is behind the broach, opposite its teeth.

    Before operation, use Equipment Operating Procedure and press and mill hazard guidance in the safety collection. Follow the specific press and broach instructions for capacity, alignment, support, stroke, cut length and lubrication.

    1. Check the drawing, prepared bore and required keyway. Select the matching broach, bushing and specified shim schedule.
    2. Seat the bushing in the hub. Insert the broach in its slot for the first pass, normally without a shim on a multi-pass set.
    3. Support the hub squarely on the press bed with clearance below for the entire broach to pass through. Align the ram, tool and guide.
    4. Apply the specified lubricant and press the broach through according to its instructions.
    5. After the completed pass, remove the broach and clean its teeth. If another pass is specified, insert the prescribed shim behind it, reinsert, lubricate and check alignment again.
    6. Repeat with the specified shim stack for each remaining pass. Stop at the prescribed final setup; deburr and inspect as described in Machining Keyseats and Keyways.

    Do not add a shim after the final pass. One-pass tools and some small broaches require none. Adding arbitrary shims is not a way to correct an uncertain dimension.

    Supporting detail: Addendum 74 — Manufacturer reference for the pass sequence.

    Count the first pass separately from the added shim passes; Practice

    Count the first pass separately from the added shim passes

    Rise per tooth and depth per pass are different quantities. For a simple planning exercise, let d1 be the depth reached by the unshimmed pass and s the extra depth from each added shim increment. After N passes, depth is d1 + (N − 1)s.

    For a target depth D greater than d1, the minimum count to reach at least the target is 1 + ceiling((D − d1)/s). Ceiling means round upward to a whole number. If the first pass already reaches the target, the count is one. All depths here are measured radially from the original bore surface.

    Example: an invented first-pass depth of 1.0 mm and two 0.5 mm increments give 1.0, 1.5 and 2.0 mm: three passes. This is counting practice, not a real broach specification. If rounding upward exceeds the allowed finished depth, that shim schedule cannot make the part to size.

    Practice counting passes

    Rotary broaching uses an angled end-cutting tool

    Rotary broaching uses an angled end-cutting tool

    Rotary broaching can make polygon forms such as a hex socket using a special holder on a suitable lathe or mill. A small angular offset makes successive portions of the tool's end engage as the tool and work move relative to one another. It does not use the long row of progressively taller teeth shown above.

    It needs a prepared opening for internal work. Tool form, available thrust, material, depth and chip clearance limit the application; a blind socket needs a planned place for the chips. This is a process overview, not a setup procedure.

    Supporting detail: Addendum 75 — How the rotary holder produces the cutting motion.

    Machining/Drilling and Threading

    Twist Drills and Drill Sizes

    Identify the parts that cut and guide a twist drill, compare point shapes, and read the four common drill size systems.

    The lips cut; the flutes give chips a way out

    The lips cut; the flutes give chips a way out

    A twist drill makes a round hole with cutting edges at its point. The lips run from the center region toward the outside diameter. The helical grooves are flutes: they provide space for chips and a route for cutting fluid. The web is the central core between the flutes.

    The chisel edge crosses the center of a conventional point. It pushes material aside with substantial thrust. Narrow strips called margins run along the outside of the drill body and help guide it in the hole. The relieved body behind them reduces rubbing. The shank is the portion held by the machine.

    Schematic side and end views identify the lips, chisel edge, web, flutes, margins and shank; a side-view comparison shows 118 and 135 degree included point angles.
    The point does the cutting. The body supports it and provides room for chips. Views are schematic, not sharpening templates.
    Point angle and split point describe different features

    Point angle and split point describe different features

    118° and 135° are included point angles, measured across the point in an axial view. A 135° point is flatter and shorter than a 118° point of the same diameter. A 118° point is common on general-purpose drills; 135° points are common on drills intended for tougher materials. Select the complete tool for the material and setup, not by angle alone.

    A split point has extra grinding near the center to reduce the chisel edge and improve starting behavior. “135°” does not automatically mean “split point.” A split point is also not a guarantee that the hole will be located accurately without a suitable setup.

    Supporting detail: Addendum 76 — Why a damaged or uneven point makes a poor hole.

    Read the diameter system before selecting the drill

    Read the diameter system before selecting the drill

    SystemWhat the marking means
    Fractional inchA diameter in fractions of an inch, such as 1/4 in. Convert the fraction when a calculation needs a decimal.
    NumberA size label, such as No. 7. In the common numbered series, a larger number means a smaller drill. The number itself is not a diameter.
    LetterA size label from A toward Z, increasing in diameter. Look up the actual diameter; letters are not equal increments.
    MetricA diameter in millimeters, such as 5.0 mm. It is not interchangeable with a nearby inch size just because both fit in the chuck.

    Read the marking and confirm the cutting diameter when identification is uncertain. A drill index is storage, not proof that someone returned the drill to the correct slot. Use the specified diameter and a checked chart when selecting a tap drill.

    Match the shank to the holder and the hole to the job

    Match the shank to the holder and the hole to the job

    A straight shank fits an appropriate chuck or collet. A reduced shank is smaller than the cutting diameter; it does not increase the machine's drilling capacity. A taper shank fits its matching taper socket or approved adapter, rather than being gripped as though it were a straight shank.

    Choose enough flute length and reach for the hole, with as little unnecessary projection as the setup permits. A drill's nominal diameter does not guarantee a finished hole's size, location or surface finish. Plan the drilling sequence, then choose a finishing operation if the drawing calls for it.

    Machining/Drilling and Threading

    Drilling on a Drill Press or Mill

    Plan hole location, workholding, starting, chip evacuation and depth before drilling, then inspect and deburr the result.

    Locate and secure the work before starting a hole

    Locate and secure the work before starting a hole

    A drill press feeds a rotating drill along its spindle axis. A mill adds controlled table positioning, which helps place a pattern of holes from drawing datums. On either machine, the hole follows the relationship between spindle, tool and workholding.

    Clamp the work or hold it in a suitable vise or fixture rather than by hand; see Machine Hazards for why. Round stock needs support that prevents rolling, such as a properly clamped V-block arrangement. Provide clearance for a through drill without drilling into the table, vise or supports.

    For the operating rules, use Machine Hazards and Housekeeping, Personal Protective Equipment and Metal Chips and Swarf. The sequence here assumes those requirements and the machine's operating instructions have been met.

    A spot starts the hole; a pilot removes the center material

    A spot starts the hole; a pilot removes the center material

    Spot drilling makes a short starting feature to help locate the next drill. A center drill is primarily designed to produce a center hole for supporting work between centers; its small pilot and conical portion make it different from a spot drill. Select a starting tool compatible with the following drill, rather than treating the two tools as interchangeable.

    A pilot hole is a smaller hole drilled before a larger one. It can reduce the thrust required at a conventional drill's chisel edge. It is not automatically required: some drill geometries are intended to enter solid material. Follow the drill maker's starting-hole and pilot recommendations.

    Supporting detail: Addendum 77 — Why “always center drill first” is too broad.

    Choose speed and feed for this drill and material; Practice

    Choose speed and feed for this drill and material

    Use Feeds, Speeds and Removal Rate for the surface-speed-to-RPM calculation. For drilling, its diameter input is the drill's cutting diameter. Surface speed is a cutting condition; RPM is the spindle setting. They are not the same quantity.

    Feed per revolution describes how far the drill advances each turn. Select cutting data for the tool material, work material, diameter, depth and coolant arrangement. A generic material table is a starting reference only when its tool assumptions match. Use an available machine setting consistent with the tool and machine instructions.

    Practice drill RPM

    Plan chip evacuation and full-diameter depth

    Plan chip evacuation and full-diameter depth

    Peck drilling advances in stages with retractions to break or evacuate chips. The needed stroke and retraction depend on the drill, material, hole depth and fluid delivery; there is no universal peck distance. Do not add a peck cycle to a tool that calls for continuous feed without checking its instructions.

    For a blind hole, distinguish the depth reached by the tip from the depth that has the full drill diameter. The conical point extends beyond the full-diameter portion. A tapped blind hole also needs space for the tap's lead-in and chip clearance. For a through hole, account for breakthrough and the drill point below the work.

    If chip shape, sound, thrust or finish changes unexpectedly, stop and inspect the setup before resuming; use Metal Chips and Swarf for chip handling.

    Supporting detail: Addendum 78 — Why changes in the cut matter.

    Compare advance, retracing and withdrawal paths

    Compare advance, retracing and withdrawal paths

    Open G-code and Toolpaths. In the playground's Program picker, choose these named examples in order: Drilling path: continuous advance, Drilling path: short in-bore retract, and Drilling path: withdrawal above the mouth. Use Step to follow each G0 and G1 move.

    ProgramMotion to watchWhat the model reports
    Continuous advanceG1 Z-8One feed enters new modeled stock to final depth.
    Short in-bore retractG0 Z-1, then G1 Z-4 and G1 Z-8The first feed back removes no additional modeled stock; the separate deeper feed does.
    Withdrawal above the mouthG0 Z2, then G1 Z-4 and G1 Z-8The first feed back removes no additional modeled stock; the separate deeper feed does.
    1. Mark where the drill enters material that has not yet been removed. That is new cutting in this geometric model.
    2. Mark where the drill returns through the bore it already made. That travel retraces the prior path and removes no additional modeled stock; the separate deeper feed begins after the point reaches the previous bottom. The model does not show possible wall or chip contact, rubbing, force or heat during the return.
    3. Compare the retraction heights with the raw top at Z+1. The short retraction stays inside the bore. The other withdrawal carries the point above the hole mouth, creating a clearer opportunity for chips to leave the hole.
    4. Compare the finished holes. The three illustrative programs intentionally reach the same final tip depth and geometry even though their travel paths differ.

    The playground shows programmed motion and removed geometry. It does not model chip transport or packing, cutting heat or force, coolant delivery, or whether chips actually cleared. A retraction creates an opportunity for chip escape; it is neither proof of chip clearance nor the only way chips can leave. Haas describes its G83 return as a chip-clearing motion and places the R plane above the cut so chips can get out, but these G0/G1 illustrations are not G73, G83 or Q implementations.

    The coordinates, spindle speed and feed in these three examples are comparison values for the simulator, not operating recommendations. Select any real drilling cycle, retract amount, speed and feed from the drill maker's guidance, the machine/control manual and the approved shop procedure. Continue to follow the machine instructions and Metal Chips for observation and chip handling.

    Primary source: Haas Automation, G83 Normal Peck Drilling Canned Cycle (R-plane return and chip-clearing motion). Controller details differ; use the manual for the machine in front of you.

    Read point depth and full-diameter breakthrough separately

    Read point depth and full-diameter breakthrough separately

    Open Milling Operations and its simulator. Choose Job 2 / Pocket and holes. From View, choose 2D sections. Under Drill: choose a size, choose Load the drill Ø6.6. With the tool clear above the block, use the Move to X and Y inputs to place it at X 15, Y 30, then use the Z input and Move to advance to each row below. Watch the Front section and DRO, then scroll to Inspection of the part as it is now and find Ø6.6 through at X 15, Y 30.

    These are illustrative coordinates in this simulator: its raw top is Z +1 and its stock bottom is Z −20. They are not operating depths, safe overtravel or an allowance for a real part.

    Drill-tip DROWhat the Front section representsRead the individual checks
    Z −20The point reaches the stock bottom, but the full drill diameter stops higher.Diameter can read Ø6.60 while THRU says Not through yet: full size only to Z −18.02.
    Z −21The point extends below the stock and leaves a partial bottom opening; the full diameter still has not reached the bottom.Diameter can still read Ø6.60 while THRU says Not through yet: full size only to Z −19.02.
    Z −22The modeled opening at the bottom reaches the inspection's minimum allowed diameter.THRU changes to Through at the minimum allowed diameter.
    1. Why does a drill-tip DRO of Z −20 not mean the full Ø6.6 body has reached Z −20?
    2. Which inspection result changes between Z −21 and Z −22: the measured diameter, the THRU subcheck, or both?
    3. Why can the left hole's diameter subcheck pass before its THRU subcheck?
    4. Why can the feature row or overall job remain incomplete even after this THRU subcheck passes?

    For this feature, THRU checks the bottom opening against a minimum allowed diameter of 6.50 mm. Passing it does not guarantee an exact Ø6.6 opening, and the unfinished top face, pocket or right-hand hole can keep other checks incomplete. Read the Diameter and THRU subchecks separately; do not use the overall job result as the answer to this comparison.

    Check the hole before calling it finished; Checklist

    Check the hole before calling it finished

    • Confirm the hole location, required diameter and whether it is through or blind.
    • Check the tool, starting method, workholding, exit clearance and depth plan.
    • Set suitable speed, feed and chip-evacuation conditions.
    • After drilling and stopping the machine, inspect the hole and remove burrs without changing the specified feature.
    • Measure the required dimensions and complete any specified finishing operation.

    Deburring removes the raised edge left by cutting. It does not automatically mean making a large countersink. Preserve the drawing's edge requirements and inspect the exit side too.

    Machining/Drilling and Threading

    Reaming, Boring and Hole Seats

    Choose a finishing operation by the feature needed: a sized bore, a cylindrical recess, a conical seat or a flat bearing surface.

    Choose the operation from the finished shape

    Choose the operation from the finished shape

    Four schematic sections compare a deep flat-bottomed counterbore, a conical countersink, a shallow flat spot face and a straight reamed hole.
    Section views through the hole axis. Gray is material; white is open space. A spot face provides a bearing surface; a counterbore provides a recess.
    Needed featureOperation
    Improve the diameter and finish of a nearly correct holeReam
    Enlarge an existing hole with control of its axis and diameterBore
    Cylindrical recess with a flat shoulder for a fastener headCounterbore
    Conical seat for a matching flat-head fastenerCountersink
    Local flat bearing surface around a holeSpot face
    Ream for size and finish; bore when the axis needs control

    Ream for size and finish; bore when the axis needs control

    A reamer removes a small amount of material with multiple cutting edges. Prepare an undersize hole with enough material for the reamer to cut, rather than rub. Too much allowance overloads the tool; too little may leave the previous surface. Use the reamer maker's allowance for that diameter and material, not one stock allowance for every hole.

    A reamer tends to follow the existing hole. Do not rely on it to relocate a badly misplaced or crooked hole. Boring enlarges an existing hole with a cutting edge whose path can be set relative to the machine axis. With a suitable setup and enough material left to clean up, it can correct location and straightness as well as diameter.

    Use Tolerances and Fits to interpret the size limits and select inspection methods. See Lathe Operations for boring and threading on the lathe.

    Supporting detail: Addendum 79 — A nominal tool size is not a finished-hole guarantee.

    Compare the old opening with the final bore envelope

    Compare the old opening with the final bore envelope

    A centered final bore can remove material around a smaller opening when that entire opening lies inside the final bore's removal circle. It cannot add material back where an earlier opening protrudes outside that circle. Setting the boring head to the drawing diameter does not erase the earlier geometry.

    Open Milling Operations and choose Job 4 / Boss and bore. From View, choose 2D sections. Before each case, choose Start this job over, then Sure? Start over, so each comparison begins with a fresh block. Use the Move to X, Y and Z inputs and Move. Keep tool and boring-head changes at Z +20 by using Raise to Z +20.

    Fresh-block caseIllustrative simulator movesIndividual bore inspection
    Previous opening stays insideLoad the drill Ø10. At X 50.5, Y 30, move the tip to Z −24. Raise to Z +20. Load the boring head Ø20.00, move to X 50, Y 30, then bore to Z −21.The modeled Ø20 bore contains the earlier opening. Its row reports measured Ø20.00 through, with no diameter-too-big, centre-position or CUT TOO FAR failure; the unfinished whole job does not need to pass.
    Previous opening extends outsideLoad the drill Ø10. At X 52, Y 30, move the tip to Z −24. Raise to Z +20. Load the boring head, enter 18 in Boring Ø and choose Set; bore at X 52, Y 30 to Z −21. Raise, set Ø20, then bore at X 50, Y 30 to Z −21.CUT TOO FAR — Bore Ø20.00 ±0.05 through reports about Ø20.41, 0.41 too big, with the fitted centre about 0.38 from target. THRU also fails because inspection tests a full allowed diameter around the fitted irregular opening; it does not mean the centered boring-head move stopped short. The centered final pass cannot replace the material removed outside its circle.
    1. In the first case, where is the edge of the Ø10 opening relative to the centered Ø20 removal circle?
    2. In the second case, which individual checks show that the result is not simply a centered Ø20 hole: diameter, position, overcut, or all three?
    3. Why does a final DRO of X 50, Y 30 not undo the earlier off-axis removal?

    These coordinates, depths, offsets and fitted/grid inspection numbers belong only to this idealized simulator. They are not acceptable cleanup allowance, safe boring offset, rework instructions or physical gauge results. The model does not predict boring-bar entry or interrupted-cut behavior, rigidity, deflection, chatter, force, finish, alignment uncertainty or workholding. Geometric containment is necessary here, not sufficient for a real process: use the drawing, measured hole, complete setup, tool-maker guidance and responsible process authority.

    The top, boss and chamfers remain unfinished in both cases, so the overall feature row or job may still be incomplete. Read the bore's diameter, position and overcut checks for this comparison.

    Match the head seat to the fastener drawing

    Match the head seat to the fastener drawing

    A counterbore has a cylindrical wall and a flat shoulder. A countersink has a conical seat. The screw head must match that seat's included angle; the thread diameter alone does not determine the head angle or the countersink diameter.

    A spot face removes enough surface material to create a local flat seat for a head, nut or washer. It is useful on a rough or uneven surface. A spot face and a counterbore may use similar tools, but their required depth and purpose differ.

    Read the specified diameters, depths and angle before cutting. A tool used only to break a sharp edge is not necessarily producing a fastener seat to size. Do not substitute a preferred cutter angle for the drawing requirement.

    Test the choice before choosing the cutter; Practice

    Test the choice before choosing the cutter

    A smooth pin hole already on location suggests reaming. A hole whose axis must be corrected suggests boring, if there is enough material. A socket-head screw recessed into a cylindrical pocket suggests counterboring. A conical flat-head seat suggests countersinking.

    Practice choosing hole operations

    Machining/Drilling and Threading

    Thread Callouts and Threaded Fasteners

    Decode inch and metric thread names, distinguish thread fit from strength, and choose fastener features by their function.

    Read diameter, spacing, series and class separately; Practice

    Read diameter, spacing, series and class separately

    In 1/4-20 UNC-2B, 1/4 is the nominal major diameter in inches, 20 is the number of threads per inch, UNC is the Unified coarse series, and 2B identifies the internal thread's fit class. The major diameter is the largest thread diameter; it is not the diameter of the hole drilled before tapping.

    The callout 1/4-20 UNC-2B is separated into nominal major diameter, threads per inch, coarse series and class 2 internal thread. M6 x 1 is separated into metric thread, 6 mm nominal major diameter and 1 mm pitch.
    Read the whole callout. Matching only the nominal diameter is not enough.

    UNF identifies the Unified fine series. At a given nominal diameter, fine threads have more threads per inch and therefore a smaller pitch than coarse threads. In M6 × 1, M identifies a metric thread, 6 is the nominal major diameter in millimeters, and 1 is the pitch in millimeters. It does not mean one thread per inch.

    Practice reading a callout

    Thread class controls fit, not fastener strength

    Thread class controls fit, not fastener strength

    Unified external thread classes are 1A, 2A and 3A; internal classes are 1B, 2B and 3B. A means external, as on a screw; B means internal, as in a tapped hole. Class 1 permits a looser fit, class 2 serves general applications, and class 3 uses closer dimensional control.

    The class number is not a material grade or a load rating. A class 3 thread does not by itself make a stronger bolt. Read the drawing for the required class and use the appropriate inspection limits. M6 × 1 alone does not specify a metric tolerance class; do not append an inch A/B class to it.

    For the general distinction between a nominal dimension, its tolerance and a mating fit, see Tolerances and Fits. Exact thread acceptance limits require the applicable specification and gauges.

    Pitch is spacing; lead is travel per revolution

    Pitch is spacing; lead is travel per revolution

    Pitch is the axial spacing between adjacent thread crests. For an inch thread, pitch in inches = 1/TPI. A 20-TPI thread has a pitch of 0.050 in. Lead is the axial travel in one complete relative revolution.

    On a single-start thread, lead equals pitch. On a multiple-start thread, lead equals pitch times the number of starts. Right- and left-hand threads move in opposite axial directions for the same rotation. Look for a left-hand designation rather than forcing a fastener that does not start normally.

    The lathe topic owns the process of single-point thread cutting. The tapping topic explains preparing and making internal threads with taps.

    Choose the fastener by how it locates and clamps the parts

    Choose the fastener by how it locates and clamps the parts

    PartFunction and selection question
    Bolt or screwA bolt commonly passes through clearance holes and uses a nut; a screw commonly engages a tapped part. Names overlap in catalogs, so check the actual product specification.
    Cap screwA headed screw, often with a hex or socket drive. Choose the head clearance, bearing seat, thread and specified material properties, not just appearance.
    Set screwIts point bears on a mating part, such as a shaft, to resist relative motion. Point shape and the mating surface matter; it is not simply a small clamping bolt.
    StudA headless threaded member, often installed in one part with a nut on the exposed end. Check which end engages the part and how much usable thread remains.
    NutProvides the mating internal thread. Match thread size, pitch and required properties; head shape alone does not establish compatibility.
    WasherProvides a bearing surface beneath a head or nut. Choose its size, hardness and type for the joint rather than assuming every washer also locks it.
    Threaded insertProvides an internal thread in a parent material or repairs a damaged thread. Follow that insert system's hole, tap and installation requirements.
    Engagement, grade and locking are separate decisions

    Engagement, grade and locking are separate decisions

    Engagement length is the axial length of mating threads carrying load. There is no single diameter multiplier that establishes adequate engagement for every combination of screw and parent material. Use the joint design or fastener-system requirements, and ensure the screw does not bottom before it clamps.

    Strength identification must come from the specified fastener grade or property class and its traceable markings or documentation. Thread fit class and head style are not substitutes. Do not assign a strength grade to an unidentified fastener from its appearance.

    A flat washer is not a locking device. A lock washer or thread-locking compound is not a guarantee against loosening in every joint. Use the specified locking method; for a compound, follow its compatibility, preparation, cure and removal instructions.

    Supporting detail: Addendum 80 — Check the entire joint before substituting a fastener.

    Machining/Drilling and Threading

    Tap Drills and Tapping

    Estimate a cutting-tap drill, distinguish thread percentage from engagement length, and plan tap geometry, alignment and depth.

    Subtract the pitch to estimate a cutting-tap drill; Practice

    Subtract the pitch to estimate a cutting-tap drill

    A tap makes an internal thread in a prepared hole. Start by reading the full thread callout. For common straight Unified and metric cutting taps, a useful roughly 75% thread estimate is:

    • Inch: drill diameter ≈ nominal major diameter − 1/TPI. Both diameters are in inches; TPI means threads per inch.
    • Metric: drill diameter ≈ nominal major diameter − pitch. Both dimensions are in millimeters.

    This is an estimate, not a final hole specification. Use the major diameter, not the minor or pitch diameter. Select the actual drill from the tap maker's chart for the material and required thread. Do not apply this cutting-tap estimate to forming taps, pipe threads or insert-installation taps.

    ThreadEstimateCutting-tap chart comparison
    1/4-200.250 − 1/20 = 0.200 inNo. 7, 0.2010 in
    M6 × 16 − 1 = 5.00 mm5.00 mm
    3/8-160.375 − 1/16 = 0.3125 in5/16 in, 0.3125 in

    Supporting detail: Addendum 81 — Chart basis and the approximation's limits.

    Practice the inch estimate Practice the metric estimate

    Thread percentage is not percent of bolt strength; Practice

    Thread percentage is not percent of bolt strength

    Percent thread describes how much thread height the hole permits relative to a reference profile. With the same cutting tap, a larger prepared hole leaves less thread height; a smaller hole leaves more material for the tap to remove and generally increases tapping torque.

    It does not describe how far the screw enters the hole. That is engagement length. Nor does 75% thread mean 75% joint strength. Material, engagement length, thread geometry and loading all affect the joint. More thread height is not automatically a better choice.

    Supporting detail: Addendum 82 — Keep percentage and fraction separate.

    Practice thread-percentage reasoning

    Taper, plug and bottoming describe the tap's lead-in

    Taper, plug and bottoming describe the tap's lead-in

    The chamfer is the gradual lead-in where the first teeth progressively cut the thread. A taper tap has a long lead-in that helps starting; a plug tap has a shorter lead-in; a bottoming tap has the shortest of the three and reaches full thread closer to the bottom of a blind hole.

    A bottoming tap still has a lead-in. It cannot produce full thread all the way to the physical bottom. For hand tapping, start with a tap that can establish alignment, then use a bottoming tap when the required depth calls for it. Leave room for incomplete threads, chips and the drill point.

    Chamfer style is separate from chip direction. A spiral-point cutting tap generally pushes chips ahead and needs exit space; a spiral-flute cutting tap can draw chips back toward the entrance. Select a tap intended for the material and through or blind hole.

    Use a guide to start a hand tap square; Checklist

    Use a guide to start a hand tap square

    • Confirm thread size, tap type, drill size, actual hole size and required full-thread depth.
    • Prepare the hole entrance as specified. Clamp the work or hold it in a vise rather than by hand; see Machine Hazards for why. Choose the tap maker's recommended lubricant for the material.
    • Align the tap with a suitable tapping guide. With a spindle used as a guide, keep it unpowered and follow the approved hand-tapping setup.
    • Turn with a suitable tap wrench while maintaining alignment. Follow the tap's chip-breaking instructions; do not force a tap whose resistance rises unexpectedly.
    • Keep within the planned travel, withdraw appropriately, clean and inspect the thread with the specified gauge or inspection method.

    To help prevent broken taps, use the correct tap drill, maintain alignment, clear chips as the tap's instructions specify, use the recommended lubricant and do not force the tap. Reverse-to-break-chip routines depend on tap design; do not apply one hand-tapping rhythm to every tap.

    For injury hazards, operating rules and chip handling, see Machine Hazards and Housekeeping, Personal Protective Equipment and Metal Chips and Swarf.

    Power tapping needs a machine and holder designed for it

    Power tapping needs a machine and holder designed for it

    Machine tapping coordinates spindle rotation with axial travel at the thread's lead. Depending on the machine, that may use synchronized rigid tapping or a suitable tapping attachment. The machine, holder, tap, reversal and depth control must work together. An ordinary drill-press setup is not automatically a power-tapping setup.

    A cutting tap removes chips. A forming tap displaces suitable ductile material to make the thread without cutting chips. Forming taps require their own, generally larger, prepared-hole sizes and suitable lubrication. A cutting-tap drill can be much too small for a forming tap of the same thread size.

    Use the machine's instructions and the approved shop procedure for tapping equipment.

    Supporting detail: Addendum 83 — Why the local setup decides what is permitted.

    Machining/Turning

    Turning Tapers

    Calculate taper rate, compound angle and tailstock offset, then choose a method and check both slope and size.

    A taper changes diameter at a constant rate

    A taper changes diameter at a constant rate

    A straight taper is a cone, or part of one. Name the large diameter D, small diameter d and axial length of the tapered portion l. Use the same length unit for all three.

    Taper rate = (D − d) / l. With inch dimensions, this is taper per inch, often abbreviated TPI. Here TPI means diameter change per inch of length; in Single-Point Threading, the same abbreviation means threads per inch. Write the units to distinguish them.

    TPF = 12 × TPI, and TPI = TPF / 12. Taper per foot describes the diameter change over twelve inches; the actual tapered portion need not be a foot long.

    Supporting detail: Addendum 84 — Check the rate with a fresh example.

    Set the compound to the half-angle measured from the spindle axis

    Set the compound to the half-angle measured from the spindle axis

    The tool travels along one side of the cone. Its angle to the spindle axis is the half-angle α; the angle between the two sides is the included angle 2α.

    α = atan((D − d) / (2l)) = atan(TPI / 2). Use degree mode for a setting in degrees. A rate of 0.050 in/in gives α = 1.432°, while the included angle is 2.864°.

    Swivel the compound so its travel makes that half-angle with the spindle axis, then feed along the compound. The taper length is limited by compound travel. Check how the lathe labels its scale: a scale measured from cross-slide travel uses the complementary angle, 90° − α.

    The taper half-angle has radial rise (D minus d) divided by two and axial run l; the included angle is twice the half-angle.
    The radius changes by half the diameter change. The drawing exaggerates the slope.

    Supporting detail: Addendum 85 — Why the factor of two belongs in the angle formula.

    Tailstock offset uses the full supported work length

    Tailstock offset uses the full supported work length

    For a shallow external taper turned between centers, offsetting the tailstock tilts the work while the carriage still travels parallel to the bed. The usual small-angle setup estimate is offset ≈ TPI × L / 2 = (D − d)L / (2l).

    L is the total work length between the effective center support points, approximated by the total part length in elementary problems. It is not just the length l of the tapered portion. Center-hole geometry matters in an actual setup. Use inches for L when the taper rate is in in/in; if given TPF, first divide it by 12.

    The full length L spans the two center supports; offset s shifts the tailstock sideways. A shorter taper length l does not replace L in the offset calculation.
    Plan view: offset is transverse to the spindle axis, not a vertical change in center height.

    For a rate of 0.050 in/in and L = 8.000 in, the estimate is 0.200 in even if only 3.000 in is tapered. Machine offset capacity and the center arrangement limit this method. Check a trial cut and restore center alignment before straight turning.

    Supporting detail: Addendum 86 — Why this is an estimate rather than an exact setting.

    Choose the taper method for length, access and support

    Choose the taper method for length, access and support

    Compound rest
    Useful for short external or internal tapers. The compound guides the tool at the half-angle, but its limited travel restricts length.
    Tailstock offset
    Useful for shallow external tapers between centers. It changes the work axis and does not provide a method for boring an internal taper.
    Taper attachment
    A guide coordinates cross-slide motion with carriage travel. It can produce internal or external tapers within its travel and angle limits while the work stays aligned with the spindle. Connection and cross-feed arrangements depend on the attachment.
    Form tool
    A shaped cutting edge produces a short taper by feeding across the axis. A wide edge engages much of the cut at once, increasing cutting load and the tendency to chatter.

    Start with Lathe Operations for the machine and workholding. Use Feeds and Speeds for cutting conditions and Surface Texture and Finish for the finish left by the cut.

    A matching taper needs both the right slope and the right size; Practice

    A matching taper needs both the right slope and the right size

    Measure diameters at two known axial positions to check the rate. A correct rate can still leave the entire taper too large or too small. A suitable taper plug or ring gauge checks the mating geometry; contact pattern and seating position answer different questions.

    Morse tapers are commonly used for centers and tool shanks. Jacobs tapers commonly join a drill chuck to its arbor. They are separate families: identify the exact mating designation before selecting a tool or adapter. No dimensions or angles should be inferred from the family name alone.

    No standard taper table is reproduced here. Use the specified component drawing and verified manufacturer or standard dimensions for a real fit; see Tolerances and Fits.

    Practice taper rate Practice half-angle Practice offset

    Machining/Turning

    Single-Point Threading

    Read thread geometry, distinguish pitch from lead, understand compound infeed and check thread size beyond the outside diameter.

    Pitch spaces the teeth; lead sets carriage travel per revolution

    Pitch spaces the teeth; lead sets carriage travel per revolution

    A thread follows a helix around a cylinder. Pitch P is the axial distance between corresponding points on adjacent teeth. For N threads per inch, P = 1/N inch. A 20-per-inch thread has a pitch of 0.050 in.

    Lead is the axial advance along one helix in one complete revolution. A single-start thread has one helix, so lead equals pitch. A two-start thread has two interleaved helices and lead equals 2P. In general, lead = number of starts × pitch. Threading feed follows lead; the examples here use single-start threads.

    The crest is the top of a tooth and the root is the bottom of the groove. The sides are flanks. The thread angle is the included angle between flanks in an axial section. This page discusses 60° profiles; other thread forms need other tools and geometry.

    Axial section of an external thread showing crests, roots, pitch, flank angle and major, pitch and minor diameter levels.
    Schematic external thread, with only the upper half shown. Diameters span across the axis to the opposite side.
    Major diameter alone cannot tell you whether a thread fits

    Major diameter alone cannot tell you whether a thread fits

    Major diameter
    The largest thread diameter: across external crests or internal roots.
    Minor diameter
    The smallest thread diameter: across external roots or internal crests.
    Pitch diameter
    The diameter of an imaginary cylinder at which thread tooth width and groove width are equal for the ideal profile. It strongly affects flank clearance and fit.

    The outside of a screw can measure correctly while its flanks are still too thick. Use the thread designation and its specified limits, not just nominal outside diameter. Tolerances and Fits explains limits; Lathe Operations explains what the simulator's simplified thread check measures.

    The tool stays square while the compound feeds near one flank

    The tool stays square while the compound feeds near one flank

    For a 60° thread, use a tool with the required 60° profile and the specified tip shape. A center gauge, also called a fishtail gauge, checks a ground tool's angle and helps align its bisector perpendicular to the work axis. Set the cutting edge at spindle center height. Swiveling the compound does not mean turning the tool away from square.

    A common manual arrangement sets compound travel about 29–30° from the radial cross-feed direction for this thread form. That is about 60–61° from the spindle axis. Check the scale's zero reference before setting it.

    A square 60-degree tool advances diagonally about 29 degrees from radial travel, nearly parallel to one 30-degree flank, while its orientation remains unchanged.
    The angle describes the infeed path between passes, not the tool's included angle or the thread helix angle.

    Near-flank infeed puts most of the cutting on one edge. Exactly 30° is parallel to a flank in the ideal axial profile; slightly less also gives the other edge a small cut. Tool-maker guidance may call for a different infeed strategy.

    Supporting detail: Addendum 87 — Radial depth and compound travel are different quantities.

    Keep every pass synchronized with the same helix; Checklist

    Keep every pass synchronized with the same helix

    The gearbox establishes the relationship between spindle rotation and leadscrew rotation. Closing the half-nuts connects the carriage to the leadscrew so that each spindle revolution advances the tool by the selected lead. An ordinary power-feed setting is not a substitute for a threading setting.

    Check the machine's threading-dial chart before re-engaging the half-nuts. On an inch-leadscrew lathe, the engagement pattern depends on how the dial is graduated. With four numbered lines and unnumbered half-lines between them, common on older inch lathes with an 8-TPI leadscrew, an odd number of threads per inch (TPI) can usually be caught on any numbered line, but not on the half-lines (see LeBlond's four-numbered-line chart). On dials numbered 1–8, odd TPI are often restricted to lines of one parity (all odd or all even). Even TPI can usually be caught on any line, numbered or half. Fractional TPI may require returning to the same specified line or keeping the half-nuts engaged. These are examples, not universal dial settings: leadscrew pitch and dial gearing determine which marks work, and the machine's chart controls.

    Supporting detail: Addendum 88 — Why only certain threading-dial positions return to the groove.

    For some combinations, notably many metric threads on inch-leadscrew lathes, ordinary dial re-engagement will lose synchronization. Such setups commonly keep the half-nuts engaged and use the maker's prescribed return method. Confirm the machine and workholding permit that method; this page supplies no universal reversing procedure.

    • Identify the thread form, hand, pitch, number of starts and required limits on the drawing.
    • Check the machine chart for the gearing and permitted half-nut/dial procedure.
    • Check a light scratch pass with a pitch gauge before deepening the thread.
    • Plan the end of each pass and the return path before cutting to depth.
    • Measure as the thread approaches size; use the specified inspection method to decide when it is finished.

    Machine operation and hazards belong on Machine Hazards and Housekeeping, Personal Protective Equipment and Metal Chips and Swarf.

    Calculate a profile depth only after naming the profile; Practice

    Calculate a profile depth only after naming the profile

    A 60° angle and a pitch do not, by themselves, specify a finished thread depth. Crest flats, root shape, tip geometry and dimensional limits all matter. Use the actual thread specification and tooling data for a production cut, then measure the result. Total depth is not a per-pass infeed instruction.

    For the ideal sharp-V teaching profile used in the practice bank, radial depth is H = P / (2 tan 30°) = (√3 / 2)P ≈ 0.8660254P. This is the full sharp triangle height, not a finished Unified or metric thread depth. Actual truncated or rounded profiles remove less radial material than this sharp triangle.

    Supporting detail: Addendum 89 — Verify the formula without a thread-depth table.

    Practice thread pitch Practice ideal profile depth Practice compound travel

    A pitch gauge checks spacing; wires help measure pitch diameter

    A pitch gauge checks spacing; wires help measure pitch diameter

    A pitch gauge has toothed leaves that compare with the thread spacing. It identifies pitch and helps detect a wrong gearbox selection, but it does not certify pitch diameter or fit.

    In the three-wire method for an external thread, two calibrated wires sit in grooves on one side and a third on the opposite side. A micrometer measures over them. Because the wires contact the flanks, the measurement can be converted to pitch diameter using the correct relation for the thread form and wire size.

    Use calibrated wire sizes and their applicable instructions or a verified table. Wire diameter, thread angle and lead-angle effects matter; this page does not supply an unchecked wire formula. A thread micrometer uses dedicated contacts for a similar purpose. Appropriate thread plug or ring gauges check functional acceptance against the specified gauge limits.

    Trying a mating nut may reveal gross interference, but it does not establish conformance to a thread class.

    Machining/Sawing and Grinding

    Grinding Wheels and Abrasives

    Match the abrasive to the material, distinguish grit from grade, and read the five main fields of a conventional wheel specification.

    A grinding wheel cuts with many small grains

    A grinding wheel cuts with many small grains

    A bonded wheel holds abrasive grains in a supporting material called the bond. The grains act as small cutting edges. Spaces between them provide room for removed material and, in wet grinding, fluid. Grains can fracture or pull free as the wheel works; dressing restores a useful cutting surface when that renewal is insufficient.

    Choose the complete wheel for the machine, material and operation. Abrasive type alone does not establish suitability: shape, dimensions, bond, speed rating and permitted grinding surfaces also matter. See Offhand Grinding and Precision Grinding.

    Match the abrasive to the work material

    Match the abrasive to the work material

    AbrasiveGeneral starting applications
    Aluminum oxideSteels, including high-speed steel (HSS) tool bits. Different formulations serve different grinding conditions.
    Silicon carbideCast iron, some nonferrous materials, and brittle nonmetals; also conventional carbide-tool grinding with a suitable wheel.
    Cubic boron nitride (CBN)A superabrasive used for hardened steels and HSS.
    DiamondA superabrasive used for cemented carbide, ceramics and other hard nonferrous materials. It is not the general choice for steel grinding.

    These are selection starting points, not permission to use any wheel containing that abrasive. In particular, a standard bench wheel for steel is not a wheel for aluminum. Confirm the manufacturer's application listing.

    Supporting detail: Addendum 90 — Manufacturer resources for abrasive selection.

    Grit is grain size; grade is how firmly grains are held

    Grit is grain size; grade is how firmly grains are held

    Grit size: within the same conventional grit-number system, a lower number means coarser grains and a higher number means finer grains. Coarse grit generally provides more space for chips and favors material removal; fine grit generally favors smaller scratches. Finish also depends on dressing, feeds, wheel condition and the work material.

    Grade: the wheel's resistance to releasing abrasive grains. A hard grade holds grains more strongly; it does not mean that the abrasive mineral itself is harder. A hard work material may need a softer grade so dull grains can release.

    Structure: the spacing of the grains. An open structure provides more space between grains than a dense structure. Do not confuse spacing with grain size.

    Bond: vitrified bonds are glasslike; resinoid bonds use resin. Rubber and metal bonds serve other applications. Bond choice affects wheel behavior, dressing and permissible operating conditions; no bond name establishes a universal RPM rating.

    Read the conventional marking from abrasive to bond; Practice

    Read the conventional marking from abrasive to bond

    The usual core sequence is abrasive → grit → grade → structure → bond. Prefixes and suffixes may identify a manufacturer's particular abrasive or bond. Some markings omit a structure field. Superabrasive specifications may include concentration and use a different format.

    Five fields in order: abrasive identifies the cutting material, grit its size, grade grain retention, structure grain spacing, and bond the binder.

    Read the meaning of each field before interpreting a manufacturer's code.

    For a teaching example, suppose a supplier defines A 60 J 7 V as aluminum oxide, grit 60, grade J, structure 7 and vitrified bond. The 60 is not an RPM limit; the J is not the hardness of aluminum oxide. Use that supplier's key to interpret J and 7 rather than assuming all manufacturers' grades behave alike.

    Supporting detail: Addendum 91 — A manufacturer's explanation of the marking.

    Practice decoding a wheel Practice grit selection

    Machining/Sawing and Grinding

    Offhand Grinding

    Understand bench and pedestal grinder setup, wheel condition, tool-bit shaping and the difference between rim speed and a wheel's maximum RPM.

    Offhand grinding guides the work by hand

    Offhand grinding guides the work by hand

    A bench grinder mounts on a bench; a pedestal grinder stands on a base. In offhand grinding, the operator guides the work against the wheel, usually supported by a tool rest. This suits shaping and sharpening; it does not provide the controlled workholding and feeds of Precision Grinding.

    For a conventional straight bench wheel, the intended grinding surface is usually its outer circumference. Move the work across that surface to distribute wear. Use only the surfaces approved for that wheel and machine; a wheel designed for peripheral grinding is not automatically suitable for side grinding.

    Before operating, use Equipment Operating Procedure. Injury hazards and protective measures belong in Machine Hazards and Housekeeping, Personal Protective Equipment and Metal Chips and Swarf. This page explains the process, not a machine-specific operating authorization.

    Wheel wear changes both rest and tongue-guard clearances

    Wheel wear changes both rest and tongue-guard clearances

    The tool rest supports the work near the wheel. The tongue guard is the adjustable part of the surrounding guard above the working opening; it is not the transparent eye shield. As the wheel becomes smaller, both clearances need checking and adjustment to the applicable machine instructions and requirements.

    Side-view schematic with the wheel inside a surrounding guard, a tongue guard above the opening, and a tool rest below it; the two clearances are separately labeled.

    Positions only, not a scale drawing or a gap-setting gauge. The eye shield is omitted for clarity.

    Make these adjustments with the wheel stopped and the machine secured according to its operating procedure. Recheck after dressing or wheel replacement. Use the specified clearance limits, not the proportions in the drawing.

    Supporting detail: Addendum 92 — Where to check the clearance requirements.

    Inspection, ring testing and dressing do different jobs

    Inspection, ring testing and dressing do different jobs

    Inspection checks condition and suitability before mounting. A ring test is an additional pre-mounting check for applicable vitrified wheels: a light nonmetallic tap produces a sound that a trained person evaluates for indications of cracking. Wheel size, shape and composition limit where the test applies. A clear ring does not replace the other checks.

    Truing restores the required wheel shape and concentric running. Dressing renews the cutting surface by removing unwanted material and exposing useful abrasive. An appropriate dressing operation may do both. Use the dresser and method specified for the wheel.

    Loading means work material fills the wheel's spaces. Glazing means dull abrasive remains at the surface and rubs instead of cutting effectively. Either condition calls for correction, not simply more pressure.

    Supporting detail: Addendum 93 — Why a wheel can glaze, and where ring testing applies.

    Shape an HSS tool bit without overheating its edge

    Shape an HSS tool bit without overheating its edge

    Grinding a high-speed steel tool bit creates the faces that meet at the cutting edge. Clearance behind the edge lets it cut without the adjacent tool face rubbing; rake influences chip flow. The required angles come from the intended tool and work material, not one universal sharpening angle.

    Use light, controlled contact and check the shape frequently. Periodic dipping of a warm HSS bit in water can control temperature when the tool's instructions permit it. This is cooling during sharpening, not heat-treatment quenching; do not heat the bit severely and then plunge it into water.

    Do not transfer that dipping method to a hot cemented-carbide tip. Sudden cooling can crack carbide. Use the specified dry method or a compatible continuous wet-grinding process. Intermittently quenching hot carbide is not equivalent to supplying coolant throughout the cut.

    Supporting detail: Addendum 94 — Carbide needs consistent temperature control.

    Aluminum and other soft, ductile metals can smear into and load a standard wheel intended for steel. Use equipment and abrasives specifically approved for the material. Changing from aluminum oxide to silicon carbide by itself does not establish that the whole setup is suitable.

    Compare RPM ratings directly; calculate rim speed separately; Practice

    Compare RPM ratings directly; calculate rim speed separately

    The machine's spindle speed must not exceed the wheel's printed maximum operating RPM. A wheel's grade or grit marking is not that rating. Passing the RPM comparison is only one compatibility check; it does not approve the wheel's mounting, dimensions or application.

    Rim speed is distance traveled at the wheel's outside diameter. With diameter D in inches and spindle speed N in revolutions per minute:

    SFPM = π × D × N / 12, in surface feet per minute. The 12 converts inches to feet. Use diameter, not radius.

    For an illustrative 7 in wheel at 1,750 RPM, π × 7 × 1,750 / 12 = 3,207 SFPM, rounded to the nearest whole foot per minute. This calculation is not a recommended operating speed. A smaller worn wheel has a lower rim speed at the same RPM; that does not authorize exceeding its marked maximum RPM.

    See Feeds and Speeds for the same surface-speed relationship. Practice wheel speed Practice the RPM comparison

    Machining/Sawing and Grinding

    Precision Grinding

    Follow surface-grinder motions and workholding, plan small downfeed increments, and distinguish surface, cylindrical and centerless grinding.

    Controlled motion lets many small cuts produce fine size and finish

    Controlled motion lets many small cuts produce fine size and finish

    Precision grinding combines an abrasive wheel with controlled workholding and machine feeds. Each active grain removes a small amount. A dressed wheel, stable support, small finishing increments and temperature control can produce accurate dimensions and fine surface texture, including on hardened materials.

    A smooth-looking surface is not proof of correct size or flatness. Wheel condition, vibration, heat and workholding can all affect the result. Inspect the drawing's requirements using Surface Texture and Finish and Tolerances and Fits. Choose the abrasive with Grinding Wheels and Abrasives.

    Use Equipment Operating Procedure for operating preparation; see Machine Hazards and Housekeeping, Personal Protective Equipment and Metal Chips and Swarf for injury hazards and protective measures.

    A surface grinder separates table travel, crossfeed and downfeed

    A surface grinder separates table travel, crossfeed and downfeed

    On a horizontal-spindle reciprocating-table surface grinder, the table carries the work back and forth under the wheel. Crossfeed shifts the contact across the width of the work. Downfeed moves the wheel toward the work in small increments to remove thickness. Other surface grinders use different arrangements, including rotary tables.

    Three separate views show table travel along the work, crossfeed across its width, and wheel downfeed toward the top face.

    Separate views keep the three directions distinct. Arrows show motion, not feed amounts.

    After the finishing downfeed, sparking out continues passes without adding downfeed. The wheel can still remove a small amount as elastic deflection relaxes. Spark-out is not a substitute for measuring the part, and the number of passes is process-dependent.

    A magnetic chuck holds suitable ferromagnetic work

    A magnetic chuck holds suitable ferromagnetic work

    A magnetic chuck uses magnetic attraction to hold suitable material such as many steels. It does not directly hold aluminum, brass or every stainless steel. Holding depends on material, contact area, thickness and the chuck's pole arrangement, not simply whether a magnet attracts one corner.

    Clean mating surfaces and remove burrs that would lift the part. Use an approved fixture for parts that the chuck cannot hold adequately. A thin part can be pulled flat during grinding and spring back after release, so check the finished condition after removing the holding force.

    Follow the chuck's release procedure after grinding. Residual magnetism may require demagnetizing so particles do not cling to the work. Demagnetizing is not the act that secures the work for grinding.

    Supporting detail: Addendum 95 — Magnetic holding and release are equipment-specific.

    Count downfeed increments separately from table strokes; Practice

    Count downfeed increments separately from table strokes

    For an ideal plan with constant downfeed, number of increments = total thickness to remove / downfeed per increment. One increment may require many table strokes and crossfeed steps to cover the entire face. State what a “pass” means before using the equation.

    Example: removing 0.024 in from one face at an assumed 0.002 in per full-face layer takes 12 downfeed increments. These are arithmetic teaching values, not machine settings. If the division is not exact, use a smaller final increment rather than removing extra stock.

    Supporting detail: Addendum 96 — Why a real grinding plan needs more than the quotient.

    Practice downfeed counts

    Coolant helps control heat and carry away grinding debris

    Coolant helps control heat and carry away grinding debris

    Grinding fluid can cool the work, lubricate contact and flush away removed particles. Heat changes dimensions during grinding and can alter the work surface. Delivery into the grinding zone, cleanliness and compatibility with the wheel and work material matter as much as having fluid in the tank.

    Select the fluid and delivery method for the machine and operation. Do not assume every wheel or grinder permits wet operation. See Cutting Fluids and Application Methods for fluid selection and care, and Coolant Concentration and Mixing for mixing and measurement.

    Cylindrical and centerless grinding control round surfaces differently

    Cylindrical and centerless grinding control round surfaces differently

    Cylindrical grinding commonly rotates work held between centers or in a chuck while a grinding wheel removes material from an outside diameter. Traverse grinding moves along the length; plunge grinding feeds into a selected width. Internal grinding finishes bores and can use rotating work or other machine arrangements.

    Centerless grinding supports the work on a blade between the grinding wheel and a regulating wheel. The regulating wheel controls work rotation and, in through-feed operation, helps advance the work axially. The work does not need center holes. Infeed arrangements serve shapes that cannot pass straight through.

    Each process needs its own setup and wheel selection. A fine finish alone does not establish roundness, straightness or size.

    Machining/CNC

    CNC Control Fundamentals

    How a control turns a program into motion, how feedback works, and what changes between milling and turning.

    CNC repeats programmed motion; the operator still defines the process

    CNC repeats programmed motion; the operator still defines the process

    Computer numerical control (CNC) uses a program to command machine motion and functions. On a manual machine, the operator directs each move with handwheels or power-feed controls. On a CNC machine, the operator prepares the tools, workholding and coordinate references, then checks the programmed sequence.

    CNC can repeat a complex path consistently. It does not remove variation from tool wear, deflection, temperature or setup errors. Programming and setup take time, so CNC is not automatically faster for every one-off job.

    The machine control unit (MCU) reads program blocks, keeps track of active settings, calculates intermediate positions along a path, and sends commands to the axis drives and machine functions. The drives supply power to the motors. The control also presents positions, settings and alarms to the operator.

    Feedback distinguishes open-loop and closed-loop motion

    Feedback distinguishes open-loop and closed-loop motion

    SystemHow position is controlledWhat that means
    Open loopThe drive sends motion commands without measuring actual position back into that positioning loop.The control may not detect a missed step. A displayed commanded position is not proof of actual position.
    Closed loopA sensor reports position or motion; the drive/control compares feedback with the command and corrects error.Excessive following error can produce an alarm. Feedback does not make the mechanics error-free.

    A stepper motor advances through commanded angular steps and is often used in open-loop systems. A servo system uses feedback to regulate motion. Closed-loop stepper systems also exist: motor type alone does not tell you whether feedback is present.

    Supporting detail: Addendum 97 — Where the sensor sits matters.

    Milling rotates the cutter; turning rotates the work

    Milling rotates the cutter; turning rotates the work

    Basic machineCutting motionCommon programming concerns
    Three-axis vertical millA rotating cutter moves relative to the work along X, Y and Z.Tool lengths, cutter radius, XY contours and hole locations.
    Two-axis latheThe work rotates while a cutting tool moves along X and Z.Diameter/radius convention, tool geometry and wear offsets, tool nose radius and changing work diameter.

    Machines with live tooling, extra linear axes or rotary axes extend these basic cases. A mill's tool changer and a lathe's turret do not necessarily use the same tool-selection commands. Learn the geometry in CNC Axes and Offsets, then compare Milling Operations and Lathe Operations. For cutting data use Feeds and Speeds; for milling direction use Climb and Conventional Milling.

    G-code is a family of control dialects

    G-code is a family of control dialects

    These pages describe common Fanuc-style milling usage, with turning differences called out. G- and M-code meanings vary by control, machine type, options and configuration. Check the machine's own manual before applying a code or example. These examples teach interpretation; they are not production programs.

    PathPilot is Tormach's machine control. Tormach publishes PathPilot programming documentation and post-processor guidelines. Select documentation for the actual machine and software version. A general description does not establish its installed tools, options or setup.

    Continue with CNC Program Structure and CNC Programming and Prove-Out. Use G-code and Toolpaths to explore a deliberately limited teaching interpreter.

    Machining/CNC

    CNC Axes and Offsets

    Identify mill and lathe axes, distinguish machine and work zero, and separate work offsets from tool compensation.

    Describe tool motion relative to the work with a right-handed frame

    Describe tool motion relative to the work with a right-handed frame

    Use your right hand: thumb along +X, index finger along +Y and middle finger along +Z, with all three perpendicular. Equivalently, curling from +X toward +Y makes the thumb point along +Z. Z runs parallel to the principal spindle axis.

    On a conventional vertical mill viewed from the front, +X is to the right, +Y is toward the back and +Z raises the tool away from the work. These are tool-relative-to-work directions. If the table moves instead of the tool, its physical motion is opposite the tool-relative motion.

    Vertical mill: tool-relative X right, Y back, Z up. Basic lathe: Z along the spindle away from the headstock, X radially outward on the illustrated tool side.

    For a basic lathe, Z is along the spindle and +Z is away from the headstock. X is radial; positive X values commonly describe the tool side of the centreline. A slant bed or rear turret changes what this looks like from the operator's position. Do not infer axis signs from screen orientation. Two-axis turning normally uses the XZ plane.

    A lathe X value may describe diameter or radius; Practice

    A lathe X value may describe diameter or radius

    In diameter programming, X24 describes a surface 24 mm in diameter, 12 mm from the spindle centreline. In radius programming, the same surface is X12. Z distances are not halved.

    For a change from diameter 30 mm to diameter 26 mm, the X coordinate changes by −4 mm in diameter mode, but the tool moves only 2 mm radially inward. Confirm the control's convention for absolute X, incremental X and arc-centre words separately; do not halve every number in a turning block.

    Practice diameter and radius

    Machine zero belongs to the machine; work zero belongs to the setup

    Machine zero belongs to the machine; work zero belongs to the setup

    Machine zero is the machine coordinate origin. A reference-return or homing procedure establishes the machine's position reference; the home position need not be the coordinate origin. Work zero is a chosen datum on the part or fixture, such as a corner, hole centre or faced end.

    Common milling codes G54 through G59 select stored work coordinate systems. Selecting G54 does not measure the part, write the offset table or redefine machine zero. The setup procedure establishes the stored values.

    Simplified XY translation: work zero is at machine coordinates 100,60. A work point 20,15 is at machine coordinates 120,75.

    With only a translation, machine position = work-zero location in machine coordinates + work position. If the work origin is (100,60) and the program point is (20,15), the machine point is (120,75). This example omits rotation, local shifts and tool offsets.

    In common Fanuc-style milling, G53 selects machine coordinates for the block containing it. It does not erase G54 or force G54 to become the next active work system. The previously selected work system remains selected afterward. Tool-offset interaction and permitted motion modes are control-specific; check your control's manual. Machine-coordinate zero is not necessarily a clearance position.

    Tool length and cutter radius compensate for different dimensions

    Tool length and cutter radius compensate for different dimensions

    In common Fanuc-style milling, G43 H... applies positive tool-length compensation: it adds the signed value stored in the selected H register to commanded Z positions so Z can refer to the intended tool-tip position. The offset's sign, established by the touch-off convention, determines the direction of that shift. G43 does not mean an unconditional upward move. Check your control's manual for its offset and touch-off conventions.

    For example, H03 selects register 3; it does not mean a length of 3 mm. T selects a tool; H selects offset data. Their numbers may match by shop convention, but the programmer must verify that relationship. G49 commonly cancels length compensation.

    Supporting detail: Addendum 98 — Why positive compensation can use a negative offset.

    G41 offsets a cutter to the left of the programmed path looking in the direction of travel; G42 offsets it to the right. G40 cancels it. These are not clockwise/counterclockwise commands. Moving along +X in XY, left is +Y. On many mills a D word selects cutter compensation data; check whether that register stores radius, diameter or a wear adjustment.

    Compensation needs suitable entry and exit moves. Do not add a full radius correction to a CAM path that already includes that correction. Turning tool nose compensation also depends on nose radius and tool orientation; it is not simply a milling H offset.

    See G-code and Toolpaths for tool-centre paths without compensation. Tormach's PathPilot guidelines describe H-based tool offset selection; CIMCO's Fanuc milling lesson illustrates left/right compensation.

    Machining/CNC

    Absolute and Incremental Positioning

    Convert between positions and signed moves, and trace the endpoint of a program as its distance mode changes.

    G90 gives a destination; G91 gives a signed change

    G90 gives a destination; G91 gives a signed change

    In common milling usage, G90 makes axis values absolute coordinates in the active coordinate system. G91 makes them signed changes from the current position. Neither command moves an axis by itself. Units and work offsets still matter.

    Increment = next position − current position. Reverse the calculation with next position = current position + increment. Keep a separate running total for every axis.

    For an ordinary G00/G01 move, an omitted axis stays in place. In G90, X0 requests X zero; in G91, X0 requests zero X movement. Do not reuse an omitted incremental value from the preceding block.

    These G90/G91 meanings must not be assumed on every lathe. Some turning controls use X/Z for absolute and U/W for incremental coordinates, and use G90 for a turning cycle. Check the control before translating a mill program to a lathe.

    One path can be written as points or as moves; Practice

    One path can be written as points or as moves

    Start at A = (6,4) mm. Visit B = (26,4), C = (26,19), then D = (11,19). Z is unchanged; these are coordinate exercises with no cutting setup implied.

    MoveAbsolute destination, G90Increment, G91
    A → BX26 Y4X20 Y0
    B → CX26 Y19X0 Y15
    C → DX11 Y19X−15 Y0

    Path from A 6,4 to B 26,4 to C 26,19 to D 11,19. Signed moves are plus 20 in X, plus 15 in Y, then minus 15 in X.

    Supporting detail: Addendum 99 — Check the conversion in both directions.

    Practice point-list conversion

    Trace the active mode before evaluating each block; Practice

    Trace the active mode before evaluating each block

    Assume millimetres, one unchanged work coordinate system, no compensation and an initial position (6,4,12). This is a paper trace, not a machine-ready program. F120 is an arithmetic example.

    G21 G90 G94
    G01 X26 Y4 F120
    G91 Y15
    X-15
    G90 X8
    M30
    Motion blockModePosition afterward (mm)
    G01 X26 Y4 F120Absolute(26,4,12)
    G91 Y15Incremental(26,19,12)
    X−15Incremental; G01 remains active(11,19,12)
    G90 X8Absolute; G01 remains active(8,19,12)

    M30 ends this trace; it is not a command to move to zero. For arcs, the endpoint mode and centre mode are separate questions: see G-code and Toolpaths. For a broader view of modes use CNC Program Structure.

    Practice a program endpoint

    Machining/CNC

    CNC Program Structure

    Read program identifiers, startup modes, machine functions, feed modes and drilling cycles in common milling G-code.

    A block can combine motion, settings and machine functions

    A block can combine motion, settings and machine functions

    A word is a letter and value, such as X12 or F100. A block is a line of words. The control applies its execution rules; words are not necessarily executed in left-to-right typing order. N numbers label blocks and are often optional. Many Fanuc-style programs use an O number such as O2468 as the program identifier. File naming, percent delimiters and identifiers vary by control.

    A modal command stays active until replaced or cancelled within its group. G01 can remain active while G90 changes to G91, because motion and distance mode are different groups. A startup line sets specific modes; it does not clear every stored setting or offset.

    A safe-start line declares assumptions; it does not prove the setup

    A safe-start line declares assumptions; it does not prove the setup

    A common milling startup example is G17 G21 G90 G94 G40 G49 G80: XY plane, millimetres, absolute endpoints, feed per minute, cutter compensation cancelled, tool-length compensation cancelled and canned cycles cancelled. This is a reading example, not a universal restart line. Cancelling an offset changes the coordinate relationship; startup and restart sequences must match the actual control and tool position.

    1. Identify the program and establish required units, plane and modes.
    2. Select the intended work coordinate system and tool; apply the correct offset data.
    3. Establish spindle, feed and coolant settings for the operation.
    4. Perform positioning and machining blocks, including any cycle cancellation.
    5. Use the machine-approved retract and shutdown sequence, then end the program.

    The order and motion details around tool changes and offset activation require the machine manual. See CNC Axes and Offsets and CNC Programming and Prove-Out.

    Separate spindle, tool and coolant commands from motion; Practice

    Separate spindle, tool and coolant commands from motion

    These are common Fanuc-style meanings, not a promise for every machine.

    CodeCommon meaningRead with it
    M03 / M04 / M05Spindle clockwise / counterclockwise / stopS sets the speed value. Direction is conventionally viewed from the spindle toward the work; confirm machine orientation.
    M06Tool change on many millsT selects a tool. The changer may be manual or automatic; offset activation is a separate issue.
    M08 / M09Flood coolant on / coolant offAvailable coolant systems and auxiliary M codes depend on the machine.
    M30End program and commonly reset/rewindIt does not command a return to machine or work zero, and does not mean automatically run another part.

    For example, S1800 M03 requests 1800 rpm in a fixed-rpm mode; it is not a cutting recommendation. A lathe using constant surface speed interprets S differently. See Feeds and Speeds.

    Practice code meanings

    Units, feed mode and plane answer different questions

    Units, feed mode and plane answer different questions

    SettingCommon milling interpretation
    G20 / G21Inch / millimetre length units.
    G94 / G95Feed in units per minute / units per spindle revolution, where supported.
    G17 / G18 / G19XY / XZ / YZ plane for plane-dependent operations such as arcs.
    G00 / G01Rapid positioning / straight-line motion at programmed feed.
    G02 / G03Clockwise / counterclockwise arc in the selected plane.

    In G21 G94, F90 means 90 mm/min. In G21 G95, F0.15 means 0.15 mm/rev; at 600 rpm that corresponds to 90 mm/min. G20/G21 alone does not choose the time basis. Some lathes use G98/G99 for feed mode, while mills commonly use those codes for drilling return levels.

    Rapid path shape depends on the control and can differ from G01. G01 may feed through air as well as cut. Learn the motion and arc geometry in G-code and Toolpaths, including the existing simulator; learn distance modes in Absolute and Incremental Positioning.

    G81 and G83 repeat a drilling sequence at hole locations

    G81 and G83 repeat a drilling sequence at hole locations

    A canned cycle packages repeated motions. In common milling use, G81 feeds a drill to depth then retracts; G83 divides the depth into pecks with retracts for chip clearance. X/Y locate the hole, Z specifies the drill-tip depth, R specifies a return/approach plane, F sets feed, and Q commonly specifies peck depth for G83. Q is not the final hole depth.

    With G90 on a conventional mill, Z and R are coordinates in the active work system. Incremental canned-cycle rules need separate study in the manual. G98 commonly returns to the initial level and G99 to R; choose a return level for the actual setup. G80 cancels the cycle. Modal hole cycles can drill again at subsequent position blocks.

    The simulator in G-code and Toolpaths demonstrates G81, not G83. See Tormach's programming reference for control-specific modes and cycles, and the Haas lathe manual for examples of meanings that differ from milling.

    Machining/CNC

    CNC Programming and Prove-Out

    Follow the CAD-to-CAM-to-post chain and use graphics, dry run, single block and overrides to check a program against its setup.

    CAD describes the shape; CAM plans how to cut it

    CAD describes the shape; CAM plans how to cut it

    CAD supplies design geometry and drawings. CAM uses geometry plus the programmer's stock, tool, workholding, operation and cutting-data choices to calculate toolpaths. Depending on the operation, CAM may work from 2D profiles or a 3D model; a solid model is not always required.

    CAD geometry and dimensions flow to CAM operations and tools, then to a machine-specific post-processor, then to G-code reviewed against the actual setup.

    A post-processor translates CAM output into the syntax and conventions for a particular machine/control combination. Selecting the wrong post can change tool calls, arc format, offsets or startup behavior. Review the posted code as well as the CAM preview.

    Supporting detail: Addendum 100 — Other ways to create a program.

    Each prove-out aid answers a different question

    Each prove-out aid answers a different question

    Prove-out compares the intended operation, posted code and actual setup. Follow Equipment Operating Procedure and Machine Hazards and Housekeeping for safety requirements; this page explains program-checking concepts, not a machine operating procedure.

    AidUseful forLimit
    Graphics or simulationInspecting path shape, endpoints, sequence and modeled interference.A missing clamp, wrong tool model or incorrect offset can make the preview disagree with the machine.
    Dry runObserving a trial cycle under the control's defined test conditions.It may substitute feed rates; the name does not guarantee no motion or no contact. Use the manual's procedure.
    Single blockAdvancing through blocks while comparing position and active modes with expectations.One canned-cycle block may contain several motions. Not every internal action stops separately.
    Feed overrideAdjusting eligible feed motions during observation.It need not affect rapids, tool changes or synchronized operations. Rapid override may be a separate control.
    Review the program against the setup before a supervised trial; Checklist

    Review the program against the setup before a supervised trial

    • Match the posted file and revision to the intended part, machine and post-processor.
    • Identify the active units, plane, distance mode and feed mode at each operation.
    • Compare work offsets, tool numbers and offset registers with the documented setup.
    • Trace the first approach, tool changes, cycle returns and final retract against the modeled stock and fixtures.
    • Check that the actual setup matches what the preview includes; resolve any discrepancy with the instructor before proceeding.
    • Identify the manual's dry-run, single-block and override behavior before using those functions in a supervised trial.
    • After an edit, repeat the affected checks; compare the first part's measured features with the drawing.

    Practise interpretation with G-code and Toolpaths and explore the existing 3D/WebGL milling lab in Milling Operations. A successful simulation only establishes behavior within that model. It does not approve a program for a real machine.

    Machining/CNC

    CNC Turning Setup and Offsets

    Read lathe X and Z coordinates, identify tooling and workholding, and separate part location from tool geometry and wear.

    Read X as a size and Z as a position along the spindle; Practice

    Read X as a size and Z as a position along the spindle

    Start with CNC Control Fundamentals for how CNC works and Lathe Operations for the cuts a lathe makes. Here the work rotates and the ordinary turning tool moves in the XZ plane. Z runs along the spindle; positive Z is away from the headstock in the basic arrangement shown. X moves radially, even when its displayed value is a diameter. A slant bed or rear turret changes the view, so check the machine's axis diagram.

    Confirm diameter or radius programming before reading an X value. For a 28 mm diameter, diameter mode uses X28 and radius mode uses X14. Moving from X28 to X24 in diameter mode removes 2 mm radially. Z is not halved. Confirm incremental and arc-centre conventions separately.

    Lathe side view: work zero is at the face on the spindle centreline. Positive Z points away from the headstock; X28 in diameter mode represents a surface 14 mm from the centreline.

    Use Absolute and Incremental Positioning for coordinate arithmetic. On many Fanuc-style lathes X/Z are absolute endpoints and U/W are increments; G90 can be a turning cycle. Do not paste a mill's G90/G91 startup into a lathe program.

    Practice lathe X commands

    The tool arrangement determines how the next cutter reaches the work

    The tool arrangement determines how the next cutter reaches the work

    A turret indexes a selected tool station into working position. Gang tooling mounts several tools on a slide; moving the slide brings the selected tool into position without turret indexing. Each tool still needs the correct offsets and a checked approach path.

    Live tooling powers a rotating cutter on the lathe for operations such as drilling or milling. A C axis controls the spindle's angular position, allowing the work to be indexed or rotated under position control. These are options, not features of every CNC lathe. Some machines also add a Y axis. Live-tool and spindle-mode commands belong to the machine's manual.

    Supporting detail: Addendum 101 — Why an extra axis changes the work a turning center can do.

    Match the workholding and automation to the part

    Match the workholding and automation to the part

    • A chuck grips with jaws. A self-centering chuck moves its jaws together; independent jaws permit individual adjustment. Jaw style and setup determine which shapes can be held.
    • A collet closes around a matching stock size and shape. Its useful size range depends on the collet design.
    • A tailstock center supports the free end of suitable work. It does not replace the chuck or collet that drives the work.
    • A bar feeder advances bar stock for successive parts. A parts catcher receives a separated part. Their timing and interlocks are machine-specific; neither is assumed in an ordinary two-axis program.

    For operating requirements use the Safety collection and CNC Programming and Prove-Out. No particular shop machine or installed option is assumed here.

    Locate the part face once, then locate each tool relative to it

    Locate the part face once, then locate each tool relative to it

    Use CNC Axes and Offsets for machine zero, work zero and the general offset relationship. On a lathe, a common part datum is Z0 at the finished face and X0 on the spindle centreline. Establish the Z work shift using the control's documented reference-tool, probe or touch-off method. Allow for any material still to be faced away.

    For X touch-off, the reference is a measured diameter. In a trial-cut method, a tool cuts a short cylindrical surface and that diameter is measured; the control's measurement function uses the known size to establish that tool's X geometry. Use the manual's procedure for the actual machine, including which table receives the value. Do not enter the measured diameter as though it were automatically the raw geometry-offset value.

    Stored informationWhat it describes
    Work shift or work offsetThe part datum, especially its Z location.
    X and Z tool geometryThe position of each tool's reference tip relative to the established reference system.
    X and Z wearSmall dimensional corrections after measurement, separate from the basic tool setup.
    Nose radius and tip orientationThe rounded cutting corner and how its imaginary tip relates to it; see CNC Turning Profiles and Cycles.

    Check whether an X wear entry is interpreted radially or diametrally, its sign, and whether the control adds to or replaces the existing value. A work-offset change affects the shared datum; a tool correction addresses one tool. Selecting G54 does not measure or store a new zero. G53 does not erase the offset table.

    Supporting detail: Addendum 102 — Control example: separate geometry and wear fields.

    Machining/CNC

    CNC Turning Spindle and Feed Modes

    Calculate constant-surface-speed RPM, apply an RPM ceiling, and distinguish feed per revolution from feed per minute.

    G96 changes RPM with diameter; G97 holds a requested RPM; Practice

    G96 changes RPM with diameter; G97 holds a requested RPM

    In the Fanuc-style lathe convention used here, G96 selects constant surface speed (CSS). S gives cutting speed: surface feet per minute with inch units, or metres per minute with metric units. G97 cancels CSS and makes S an RPM value. Confirm the actual control's units and code meanings.

    Use the work diameter at the cutting point, not the insert size. From Feeds and Speeds:

    • Inch: RPM = SFM × 12 / (π × diameter in inches).
    • Metric: RPM = cutting speed in m/min × 1000 / (π × diameter in mm).

    At 180 SFM on a 1.5 in diameter, RPM = 180 × 12 / (π × 1.5) = 458 RPM, rounded to a whole RPM. At 90 m/min on a 30 mm diameter, the result is 955 RPM. These are arithmetic examples, not recommended cutting data.

    Practice CSS calculations

    Set the maximum RPM before enabling constant surface speed; Interactive; Practice

    Set the maximum RPM before enabling constant surface speed

    Establish an appropriate spindle-speed ceiling for the actual setup before G96. On the Fanuc-style lathe convention here, G50 S1800 limits requested speed to 1800 RPM. The number is only an illustration; determine the permissible limit from the machine, workholding, tooling and setup documentation. Other controls use different commands or parameters.

    G50 S1800 (ILLUSTRATIVE RPM CEILING)
    G96 S90   (METRIC CSS: 90 METRES PER MINUTE)
    G97 S600  (LEAVE CSS: REQUEST 600 RPM)

    As diameter approaches zero during facing, CSS requests increasing RPM. Once the clamp is reached, RPM stays limited and surface speed falls. At the centre, a nonzero surface speed cannot be maintained at any finite RPM. Use CNC Programming and Prove-Out and the Safety collection for the required operating checks.

    Supporting detail: Addendum 103 — Calculate where a speed ceiling starts to matter.

    Worked example: 240 SFM, 2 in stock outside diameter (OD), and a 1000 RPM clamp. These are teaching values, not cutting recommendations. D* = 240 × 12 / (π × 1000) = 0.917 in.

    Spindle RPM002Diameter (in)1000 clampD*
    The dashed horizontal line is the RPM ceiling. The dot shows D = 0.5 in.
    Surface speed (SFM)002Diameter (in)240 setpointD*
    Below D*, RPM stays at 1000 and surface speed falls linearly toward zero.
    One setpoint, three cutting diameters
    D (in)RPMSFMClamped?
    2458.37240No
    0.51000130.9Yes
    010000Yes

    At 2 in: 240 × 12 / (π × 2) = 458.37 RPM. At 0.5 in, CSS would request 1833.46 RPM; the clamp gives 1000 RPM and π × 0.5 × 1000 / 12 = 130.90 SFM. At D = 0, the model commands the clamp RPM and surface speed is zero.

    This ideal steady-state model uses π without rounding in the calculations. Displays round RPM and surface speed to two decimal places, diameters to three; trailing zeros are omitted. It assumes the commanded RPM is reached immediately and omits acceleration and other machine limits. Unit changes load a fresh teaching preset. For operating checks, see CNC Programming and Prove-Out and the Safety collection.

    Explain the RPM clamp

    Read the feed mode before interpreting F; Practice

    Read the feed mode before interpreting F

    In this common Fanuc-style lathe convention, G99 means feed per spindle revolution and G98 means feed per minute. With inch units, G99 F0.006 means 0.006 in/rev; G98 F0.006 means 0.006 in/min. With metric units, the corresponding lengths are millimetres. Codes vary: the milling return-level meanings of G98/G99 do not apply here.

    Feed per minute = feed per revolution × RPM. At 800 RPM, 0.006 in/rev gives 4.8 in/min. If CSS increases RPM while G99 holds F constant, the feed per minute increases too. If G98 holds feed per minute constant, feed per revolution changes with RPM.

    Set the intended feed mode explicitly. See CNC Program Structure for modal behavior and CNC Turning Program Walkthrough for a commented turning example.

    Supporting detail: Addendum 104 — Reference for the code convention used here.

    Practice feed conversion

    Machining/CNC

    CNC Turning Profiles and Cycles

    Account for a rounded tool nose on tapers and arcs, then distinguish roughing, finishing, grooving and threading cycles.

    A rounded tool nose does not cut at the imaginary sharp tip

    A rounded tool nose does not cut at the imaginary sharp tip

    A turning insert has a rounded corner, called its nose radius. Touching off along X and Z establishes an imaginary tip: the intersection of the two tangent reference lines. There is no cutting material at that intersection. The actual contact point moves around the nose as the direction of the surface changes.

    Axis-parallel cuts can reach the measured diameter or face with the corresponding touch-offs. On a taper, chamfer or arc, simply driving the imaginary tip along the desired surface leaves a profile error. Account for the nose radius with a calculated toolpath or the control's tool nose compensation. See Turning Tapers for taper geometry.

    A rounded nose touches the X and Z reference lines, whose intersection is the imaginary tip. A taper through that tip misses the rounded edge; a parallel tangent line shows the resulting surface without compensation.

    Supporting detail: Addendum 105 — Why a good diameter measurement does not prove a taper is correct.

    Compensation needs nose radius, tip orientation and a clear entry and exit

    Compensation needs nose radius, tip orientation and a clear entry and exit

    In common Fanuc-style usage, G41 selects compensation to the left of the programmed direction of travel and G42 to the right; G40 cancels it. Judge the side in the control's XZ-plane convention. Do not choose a code from the screen's apparent left or right, or assume one code means every outside cut.

    Enter the actual nose radius and the control's tip orientation, which tells it where the imaginary tip sits relative to the nose centre. Select the correct tool-offset register, use the manual's lead-in and lead-out requirements, and check the resulting path with CNC Programming and Prove-Out. Tip numbers differ by control; there is no universal number table here.

    Do not apply full nose-radius compensation again to a path already corrected for that radius. Check whether a CAM post expects full geometry compensation, wear-only compensation or no control compensation.

    Supporting detail: Addendum 106 — Where to check the control behavior.

    A roughing cycle removes layers while leaving stock for finishing

    A roughing cycle removes layers while leaving stock for finishing

    A G71-type roughing cycle uses a defined final profile to generate repeated stock-removal passes, commonly along Z for outside or inside turning. The programmer supplies the applicable cut depth, retract and finish allowance. A G70-type finishing cycle follows the defined profile to remove the remaining allowance.

    Upper half of turning stock: successive roughing passes run along Z toward the headstock and leave an allowance above a stepped finished profile. Finishing follows the final outline.

    Read the control's cycle definition before entering parameters. One-block and two-block formats differ. A depth word may be radial while an X allowance is diametral; the same letter can mean different things in different blocks. P and Q commonly identify the first and last numbered profile blocks. Check the referenced blocks, permitted profile direction changes, return path and compensation rules.

    Supporting detail: Addendum 107 — Why no universal cycle template is shown.

    Grooving repeats plunges; threading synchronizes feed with rotation

    Grooving repeats plunges; threading synchronizes feed with rotation

    A grooving or peck cycle divides a plunge into smaller advances and retracts. Some formats repeat the plunge at different Z positions to make a wider groove. G75 is one common outside/inside grooving family; face-grooving and peck-drilling families may use other codes. Check peck size, final depth, groove width and tool-width convention separately.

    A G76-type threading cycle makes repeated synchronized passes with increasing depth. The thread lead determines the axial advance per spindle revolution. The cycle also needs control-specific information about final size, infeed, pass depth and runout. Use Single-Point Threading for pitch, lead and thread form; a threading cycle does not choose those dimensions for you.

    Formats differ by control, so no complete parameter syntax is universal. See the Haas G75 reference and the G70/G76 entries in its lathe workbook as examples. CNC Turning Program Walkthrough spells out ordinary moves so the sequence can be read without decoding a cycle.

    Machining/CNC

    CNC Turning Program Walkthrough

    Trace an original facing, outside roughing, chamfering, finishing and cutoff sequence with every block explained.

    Read the setup assumptions before the first block

    Read the setup assumptions before the first block

    Illustrative; check your control's manual. This is a reading example in a common Fanuc-style lathe dialect, not a machine-ready file. Read CNC Program Structure for blocks and modes, CNC Turning Setup and Offsets for offsets, and CNC Turning Spindle and Feed Modes for S and F. The mill simulator in G-code and Toolpaths cannot validate this lathe program.

    The invented part is 20 mm in diameter and 25 mm long, with a 1 mm × 45° front chamfer. The chamfer runs from X18 Z0 to X20 Z−1: the 2 mm diameter change is a 1 mm radial change. Stock is 24 mm diameter with its raw face at Z+0.5. G54 has Z0 at the finished face and X0 on the spindle centreline. Stock and clearance extend beyond Z−28; workholding is farther toward negative Z.

    Assume diameter programming and absolute X/Z endpoints; this dialect does not need G90 for absolute moves. T0101 selects station 1 and offset 1: a right-hand OD/facing tool with a 0.4 mm nose radius, suitable for the illustrated cuts. Its imaginary tip and radius are set, and G42 is the correct side for this setup's finish contour. T0202 selects a 2 mm wide cutoff tool and offset 2. Its Z reference is the edge toward positive Z, so Z−25 puts the blade in the interval Z−27 to Z−25. The cutoff tool is capable of the illustrated small travel past centre.

    The example assumes X60 Z10 is an already-verified tool-change clearance location for both tools and the turret sweep, and starts there with spindle and coolant off. These coordinates are not a general clearance rule. All speeds, feeds and the 1800 RPM ceiling are teaching values, not material recommendations. Verify the real setup, tool calls, compensation entry/exit, centre crossing and file delimiters using CNC Programming and Prove-Out and the Safety collection.

    Face the end, then leave a small allowance on the outside diameter

    Face the end, then leave a small allowance on the outside diameter

    Every parenthesized comment explains its block. G01 remains active until G00 replaces it; X/Z values here are destinations. Facing travels slightly past the centre to account for the rounded nose. Roughing uses two explicit lengthwise passes rather than a control-specific canned-cycle format.

    O2460 (IDENTIFY THIS EXAMPLE PROGRAM)
    G18 G21 G40 G80 G99 (XZ PLANE, MM, COMP OFF, CYCLES OFF, MM/REV)
    G54 (SELECT THE PRESET PART WORK OFFSET)
    T0101 (SELECT OD TOOL 1 WITH OFFSET 1 AT VERIFIED CLEARANCE)
    G50 S1800 (SET THE EXAMPLE MAXIMUM SPINDLE RPM)
    G97 S600 M03 (FIXED 600 RPM, START SPINDLE IN SETUP DIRECTION)
    G00 X26.0 (APPROACH OUTSIDE THE 24 MM STOCK AT Z10)
    G00 Z0.0 (MOVE TO FINISHED FACE PLANE WHILE OUTSIDE STOCK)
    M08 (TURN ON THE ASSUMED FLOOD COOLANT SYSTEM)
    G96 S90 (SELECT 90 M/MIN CSS WITH THE RPM CEILING ACTIVE)
    G01 X-0.8 F0.10 (FACE THROUGH CENTRE: 0.4 MM RADIAL OVERTRAVEL)
    G00 Z2.0 (RETRACT AXIALLY BEYOND THE FACED END)
    G00 X22.0 (POSITION FOR THE FIRST OD ROUGHING PASS IN AIR)
    G01 Z-28.0 F0.20 (ROUGH LENGTHWISE TO 22 MM DIAMETER)
    G00 X26.0 (RETRACT RADIALLY OUTSIDE THE ORIGINAL STOCK)
    G00 Z2.0 (RETURN TO THE FRONT AT CLEAR X)
    G00 X20.6 (POSITION FOR THE SECOND OD ROUGHING PASS)
    G01 Z-28.0 F0.20 (LEAVE 0.6 MM ON DIAMETER FOR FINISHING)
    G00 X26.0 (RETRACT OUTSIDE STOCK AGAIN)
    G00 Z2.0 (RETURN AHEAD OF THE FACE FOR FINISHING)

    Supporting detail: Addendum 108 — Check roughing depth and remaining material.

    Compensate the chamfer and finish, then cut off at fixed RPM

    Compensate the chamfer and finish, then cut off at fixed RPM

    The finish contour uses the same tool at a smaller feed. Nose compensation is active for the chamfer and OD; it is entered ahead of the face and cancelled after departing the finished contour. See CNC Turning Profiles and Cycles for why a sharp-point assumption would give the wrong chamfer.

    G00 X16.0 (POSITION AHEAD OF THE FACE FOR THE COMPENSATED ENTRY)
    G01 G42 X18.0 Z0.0 F0.10 (ENGAGE RIGHT COMP ON THE FACE APPROACH)
    G01 X20.0 Z-1.0 (CUT THE 1 MM RADIAL BY 1 MM AXIAL CHAMFER)
    G01 Z-26.0 (FINISH THE 20 MM OD PAST THE CUTOFF FACE)
    G01 X22.0 Z-27.0 (FEED OUT FROM THE OD BEHIND THE FINISHED PART)
    G01 G40 X26.0 (CANCEL COMPENSATION ON THE OUTWARD DEPARTURE)
    G97 S600 (CANCEL CSS AND REQUEST FIXED 600 RPM)
    G00 X60.0 (RETRACT RADIALLY TO THE ASSUMED CLEARANCE X)
    G00 Z10.0 (RETURN AXIALLY TO THE VERIFIED TOOL-CHANGE LOCATION)
    M09 (COOLANT OFF)
    M05 (STOP THE SPINDLE BEFORE THE TOOL CHANGE)
    T0202 (SELECT CUTOFF TOOL 2 AND ITS EDGE-REFERENCED OFFSET 2)
    G97 S500 M03 (START AT FIXED 500 RPM FOR THIS CUTOFF EXAMPLE)
    G00 X26.0 (POSITION OUTSIDE THE STOCK WITH THE NEW TOOL)
    G00 Z-25.0 (LOCATE THE POSITIVE-Z BLADE EDGE AT THE REAR FACE)
    M08 (COOLANT ON)
    G01 X-0.2 F0.05 (PART OFF WITH THE ASSUMED 0.1 MM RADIAL OVERTRAVEL)
    G00 X60.0 (WITHDRAW RADIALLY FROM THE CUTOFF SLOT)
    G00 Z10.0 (RETURN TO THE ASSUMED CLEARANCE Z)
    M09 (COOLANT OFF)
    M05 (SPINDLE STOP)
    M30 (END AND RESET THE PROGRAM; NO RETURN MOVE IS IMPLIED)

    File-start/end percent delimiters, tool-call behavior and supported startup codes must be supplied or adapted as required by the target control. No bar-feeder or parts-catcher sequence is implied.

    Trace the modal state and finished dimensions on paper; Checklist; Practice

    Trace the modal state and finished dimensions on paper

    • Mark where S means RPM and where it means metres per minute; locate the preceding RPM clamp.
    • Confirm that every F value is interpreted in mm/rev under G99.
    • Calculate the radial depth of each OD pass and the two chamfer endpoints.
    • Locate the nose-compensation entry and departure, and identify the selected offset register.
    • Check that the cutoff blade's positive-Z edge leaves the intended 25 mm length.

    The syntax conventions can be compared with the Haas lathe programming reference. This original example is not copied from a manufacturer program. A paper trace establishes intended geometry and modal state; actual prove-out still follows CNC Programming and Prove-Out.

    Spot a feed-mode error

    Machining/Production and Nontraditional Processes

    Shop Inspection and Quality Control

    Check the first part, watch the process during production, and use suitable measurements to decide whether parts meet requirements.

    Inspect before a setup error becomes a batch of parts

    Inspect before a setup error becomes a batch of parts

    Quality control uses evidence to keep production meeting requirements. Inspection checks what was made; it does not repair a process or make a bad part good.

    First-article inspection
    Check the first part from a new or changed setup against the required features before releasing continued production. A good first part supports the setup decision; it does not prove that later parts will stay good.
    In-process checks
    Check selected features while production continues. Record results in production order so tool wear or a shifting setup is visible before many parts are affected.
    Final inspection
    Check the completed part or lot against the acceptance plan, including requirements that earlier operations could not verify. Keep its identity connected to its results.

    If a check fails, identify and hold the affected material, report the result, and investigate before continuing under the applicable procedure. Consider parts made since the last known good check; checking only the next part leaves that interval unresolved.

    A gauge gives a decision; a measurement gives a value

    A gauge gives a decision; a measurement gives a value

    Attribute gauging reports a category such as pass/fail. Variable measurement reports a number, such as 18.012 mm. A number can show how close the process is getting to a limit; a passing gauge alone cannot.

    For a plain hole, the GO plug checks the small-hole limit and should enter over the specified inspection length. The NO-GO plug checks the large-hole limit and should not enter as defined by the gauging procedure. Do not force either end. For a plain shaft, a GO ring should pass over the specified length and a NO-GO ring should not pass: the GO ring checks the large-shaft limit.

    Two ends of a plain plug gauge: the smaller GO end should enter the hole; the larger NO-GO end should not enter under the specified gauging procedure.

    Conceptual plain plug gauge. The diameter difference is exaggerated; these are not gauge manufacturing dimensions.

    A GO plug that will not enter is a failed check, not proof of one particular cause: an undersize hole, burr, dirt, poor alignment or form error can obstruct it. Clean and investigate using the approved method. A NO-GO plug that enters beyond the permitted engagement is also a failed check.

    Use the correctly identified gauge with current calibration status. Do not derive gauge sizes directly from workpiece limits. This plain-gauge explanation does not supply the engagement rules for threaded gauges.

    Supporting detail: Addendum 109 — Why the gauge itself needs limits and wear checks.

    Build a clean, repeatable surface-plate setup; Checklist

    Build a clean, repeatable surface-plate setup

    A surface plate provides a reference plane. A height gauge measures from that plane; an indicator can compare the part with a reference or show variation as a surface is swept. Neither tool corrects a rocking part or dirt under a support.

    • Read the required feature and reference surfaces on the drawing; select a suitable instrument and range.
    • Clean the plate, supports and contact surfaces. Address burrs under the approved preparation method without altering the feature being inspected.
    • Support the part stably on the intended reference surfaces and allow temperature differences to settle as the measurement procedure requires.
    • Check the instrument against the appropriate reference, set zero or reference height, and use consistent contact force and alignment.
    • Repeat the reading, record the value and units, and investigate disagreement before accepting the result.

    Instrument handling belongs in Choosing Shop Measuring Tools and Reading Measuring Scales. Machine alignment is covered in Mill Indicators and Part Zero. Size acceptance and surface finish are separate requirements: see Tolerances and Fits and Surface Texture and Finish.

    A CMM relates measured points to the part's references

    A CMM relates measured points to the part's references

    A coordinate measuring machine (CMM) records positions in three dimensions using a probe or sensor. Software uses sampled points to evaluate features such as a plane, bore or hole location relative to the chosen part alignment.

    The operator still needs a suitable setup, probe qualification, measurement strategy and drawing interpretation. A few points cannot reveal every possible surface defect. A CMM is a measurement system, not an automatic guarantee that every requirement has been checked.

    Increase checks when the process is new or changing

    Increase checks when the process is new or changing

    Sampling means inspecting some parts to learn about a larger group or process. It reduces inspection effort but leaves a chance that unmeasured defects will escape. Select samples by a defined plan, not by choosing the nicest-looking parts.

    A new setup, tool replacement, unexpected variation or a trend toward a limit calls for closer attention and potentially more frequent checks under the inspection plan. A demonstrated stable process may justify fewer checks; feature consequences and customer requirements still matter. Some features require every part to be inspected.

    Keep the readings in order and compare their trend and spread, not just their pass/fail status. Process Capability and Variation explains that distinction. Do not repeatedly adjust a stable process just because its readings differ slightly.

    Trust a result only as far as the measurement supports it; Practice

    Trust a result only as far as the measurement supports it

    Accuracy concerns agreement with a reference or true value; precision concerns agreement among repeated measurements under stated conditions. Readings can cluster tightly and still be consistently wrong.

    Calibration compares instrument indications with reference values under specified conditions and establishes their relationship and uncertainty. It is not merely setting zero, and adjustment is a separate action. Traceability belongs to a measurement result supported by a documented chain of calibrations, each contributing uncertainty.

    For classroom limit comparisons, treat the stated numbers as exact and include both endpoints. In real inspection, uncertainty matters near a limit: apply the specified acceptance decision rule rather than assuming the last displayed digit is exact.

    Practice limit decisions Practice gauge interpretation

    Machining/Production and Nontraditional Processes

    Process Capability and Variation

    Compare the allowed tolerance band with the process's centre and spread, without mistaking five good parts for proof of capability.

    The drawing sets the limits; the process produces the spread

    The drawing sets the limits; the process produces the spread

    A tolerance band is the permitted interval from the lower size limit to the upper size limit. Process spread describes how much the manufactured values vary. Changing a machine setting may shift the centre; it does not necessarily reduce the spread.

    A capable process consistently fits its variation within the required limits with useful margin. A narrow spread near a limit can still produce rejects if the process drifts. A wide spread cannot be fixed simply by moving its average to the middle.

    The same tolerance band contains a narrow centred illustrative process spread, while a wider spread shifted to the right crosses the upper limit.

    Illustrative spreads, not probability curves or measured capability results. Both rows use the same size axis.

    Read Tolerances and Fits for the size-limit method and Shop Inspection and Quality Control for how these observations guide checks.

    Mean locates a sample; range describes its width

    Mean locates a sample; range describes its width

    Consider five invented readings: 24.98, 24.99, 25.00, 25.01 and 25.02 mm, with limits of 24.95 to 25.05 mm.

    • Mean: add all five readings and divide by five: 125.00 / 5 = 25.00 mm.
    • Range: subtract the smallest from the largest: 25.02 − 24.98 = 0.04 mm.
    • Midpoint of the limits: (24.95 + 25.05) / 2 = 25.00 mm. This sample mean is centred on that midpoint, and all five values are inside the limits.

    Now add 0.04 mm to every reading. The mean becomes 25.04 mm and the range remains 0.04 mm, but the largest reading becomes 25.06 mm and fails. Centre and spread answer different questions.

    Supporting detail: Addendum 110 — Why a small sample range is not the full process spread.

    Passing parts are evidence, not proof of a capable process; Interactive; Practice

    Passing parts are evidence, not proof of a capable process

    Capability concerns a process over time, not a single successful part. First establish that the measurement method is suitable and the process is stable enough to describe meaningfully. Collect representative readings across the conditions the conclusion is meant to cover.

    A stable process can still be too wide for the tolerance. An unstable process can happen to produce five passing parts. Neither case is resolved by averaging away the problem. Investigate a trend or sudden change using the inspection plan.

    Supporting detail: Addendum 111 — Where capability indices fit.

    Capability explorer: assume a stable process with roughly normal output. μ is the process mean; σ (standard deviation) measures spread. These are chosen teaching inputs, not estimates from the five readings above. The five-readings example above explains why passing parts are evidence, not proof of a capable process.

    Cp = (USL − LSL) / (6σ) compares tolerance width with spread, ignoring centring. Cpk = min(USL − μ, μ − LSL) / (3σ) uses the nearer limit. Cpk is negative when the mean lies outside the limits. LSL and USL are the lower and upper size limits.

    Predict first: which case has the higher Cp? Does it also have fewer parts outside the limits?

    Precise but off-centre

    LSLUSL19.9520.05Size (mm) · dashed line = mean
    Mean 20.045 mm; σ 0.005 mm.
    Cp 3.33
    Cpk 0.33
    Outside 158,655 ppm

    Below LSL: 0.000% · Above USL: 15.866% · Total: 15.866%

    The narrow spread gives a high Cp, but the mean is only one σ below the upper limit. Cpk reveals that small margin.

    Centred but wide

    LSLUSL19.9520.05Size (mm) · dashed line = mean
    Mean 20.000 mm; σ 0.025 mm.
    Cp 0.67
    Cpk 0.67
    Outside 45,500 ppm

    Below LSL: 2.275% · Above USL: 2.275% · Total: 4.550%

    Centring makes Cp and Cpk equal. The wide spread still puts parts beyond both limits.

    Expected ppm means parts outside the limits per million under this normal model, not a measured reject count. Values are rounded; less than 1 ppm is not a guarantee of zero rejects. Requirements depend on the application; no universal pass threshold is used here.

    Practice mean Practice range Check sample centring

    Machining/Production and Nontraditional Processes

    Jigs, Fixtures and Repeatable Location

    Locate a part repeatably, clamp it against supports, and distinguish tool-guiding jigs from workholding fixtures.

    A jig guides the tool; a fixture locates and holds the work

    A jig guides the tool; a fixture locates and holds the work

    A drill jig locates and holds the part and guides the drill with a bushing. A fixture locates and holds the part while the machine controls the tool path. A plate with clamps is not automatically a jig: ask whether it guides the cutting tool.

    Both reduce the need to recreate the part position for every cycle. Neither removes the need for trained setup, secure restraint and inspection. Follow the approved mounting method; do not infer that a jig may be held by hand.

    For machine workholding and indicating procedures, use Milling Vises and Strap Clamps and Mill Indicators and Part Zero. For reading the part's views, see Orthographic Projection and the Glass Box. The drawing specifies the required relationships; the fixture must support making them.

    Three, two and one contacts establish six independent constraints

    Three, two and one contacts establish six independent constraints

    A free rigid body can translate along X, Y and Z and rotate about X, Y and Z: six degrees of freedom. For an ideal rectangular block seated against perpendicular locating planes, the 3-2-1 arrangement establishes its position without redundant locating contacts.

    ContactsPlane in this exampleAdditional motions constrained while seated
    Three non-collinear supportsPrimary, XY undersideZ translation, rotation about X and Y: three
    Two separated side locatorsSecondary, XZ sideY translation and rotation about Z: two
    One end locatorTertiary, YZ endX translation: one

    Transparent block with three underside primary supports, two secondary side contacts and one tertiary end contact. Clamp arrows press down, toward the side contacts and toward the end contact.

    Schematic contact locations, with the hidden contacts shown through the block. A, B and C name the locating planes in this example, not a replacement for the part drawing.

    These contacts locate only while the work stays seated. Clamps maintain contact and resist forces that would lift or separate the part. Do not count positive and negative directions as twelve independent degrees of freedom.

    Direct clamp force into supports and leave room for chips; Checklist

    Direct clamp force into supports and leave room for chips

    Place clamp forces toward locators and supported regions, not toward open space where the part can bend. Use enough restraint for the operation without distorting the part. Plan the load path from the cutting force through the work and supports into the machine.

    A fourth fixed support under an imperfect surface may make the part rock instead of improving location. Extra supports can be useful for stiffness if they are adjusted to the already located part without shifting it. Avoid redundant locators that fight one another.

    Foolproofing (poka-yoke) makes an incorrect loading orientation difficult or impossible—for example, a locating feature that accepts an asymmetric part in only one orientation. Keep chips away from locating contacts with accessible cleaning paths and relief spaces; a trapped chip can relocate every subsequent cut.

    • Identify the intended locating contacts and check that the part seats without rocking.
    • Check that clamps press into supports and that loading, cutting and unloading paths are clear.
    • Check that incorrect orientation is prevented or clearly detectable.
    • Verify the first part after setup before repeating the cycle.
    Modular fixtures trade dedicated tooling for reusable components; Practice

    Modular fixtures trade dedicated tooling for reusable components

    A modular fixture combines a reusable base with locating pins, supports and clamps. It suits changing work when the arrangement can be documented and rebuilt repeatably. A dedicated fixture may reduce loading time for repeated production, but takes its own design and manufacturing effort.

    A tombstone is an upright fixture carrier with mounting faces that can present several setups to a machining centre. It still needs suitable locating, clamping and tool clearance on each face.

    Select fixture materials for stiffness, wear, temperature change and the required accuracy. Aluminium can be useful; thermal expansion is a design consideration rather than an automatic ban on close-tolerance work. Wear surfaces may need hardened inserts or replaceable components.

    Count locating constraints Identify a jig or fixture

    Machining/Production and Nontraditional Processes

    Automated Manufacturing Cells

    See how programmed machining, tool changes, pallet handling and robots work together—and what must be reliable before unattended production makes sense.

    NC and CNC put machining motions under program control

    NC and CNC put machining motions under program control

    Numerical control (NC) directs machine actions using coded instructions. Computer numerical control (CNC) uses a computer-based controller to execute those instructions. This is a base for automation, not a promise that loading, inspection and fault recovery are automatic too.

    Programs still depend on correct tools, work location, offsets and a verified setup. See G-code and Toolpaths and CNC Control Fundamentals for the controls and program details.

    Tool changers and pallet changers automate different waits

    Tool changers and pallet changers automate different waits

    An automatic tool changer exchanges cutting tools so a program can perform several operations. Correct tool identification, dimensions and available tool life remain essential.

    A pallet changer exchanges work carriers. In a suitable system, one pallet can be loaded at a designated station while another is being machined. The pallet locates the fixture; the fixture locates the part. Dirt at either interface can undo the expected repeatability.

    Repeatable fixturing and planned inspection are part of the automation system, not tasks that disappear after a changer is installed.

    A manufacturing cell coordinates machines and handling

    A manufacturing cell coordinates machines and handling

    A flexible manufacturing cell combines machining and handling resources arranged to produce a planned family of parts. Flexibility comes from suitable programs, tools, fixtures and scheduling; it does not mean any part can be run without preparation.

    A loading robot uses a programmed manipulator and a gripping device to transfer parts between defined positions. The cell must confirm conditions such as part presence, clamp state and machine readiness before the next action. A robot's repeatable motion does not compensate for a wrongly seated part.

    Supporting detail: Addendum 112 — Cell, system and integration describe different scopes.

    Lights-out production requires a plan for faults and variation

    Lights-out production requires a plan for faults and variation

    Lights-out machining means planned operation without an operator continuously attending the machines. It relies on a validated process, sufficient material and tool life, dependable chip and coolant management, and a defined response to faults.

    Monitoring may detect tool breakage, missing parts or measurement trends, but only for conditions the system is designed to detect. Automatic compensation and inspection of every part are options, not universal features of automation. Decide what is measured, what stops production and how affected parts are contained.

    Unattended operation is a system-level decision under the applicable equipment and facility procedures. These concepts are not authorization to leave a machine running unattended or enter an automated cell. A stopped cycle alone does not establish safe access.

    Materials and Manufacturing Processes/Metals

    Metals and Their Properties

    How bonding, grains and alloy condition affect the properties used to choose a metal.

    Metal selection starts with the job the part must do

    Metal selection starts with the job the part must do

    A metal can carry a load, conduct current, transfer heat or resist wear. Those are different jobs. Start with the required behavior, then compare a particular alloy in a particular condition. An alloy combines a base metal with other elements to change its behavior.

    Metals belong to the material-family foundations topic. Use Material Properties for the general property vocabulary; this page applies it to metals. Continue with Types of Steel, Nonferrous Metals, Metal Stock Forms and Purchasing and Heat Treating Metals.

    Metallic bonding helps explain conduction and forming

    Metallic bonding helps explain conduction and forming

    In a metal, some electrons are shared throughout the structure rather than tied to one bond between two atoms. Their mobility helps metals conduct electricity and heat. Metallic bonding can remain intact while atoms rearrange during permanent deformation, which helps explain why many metals can be rolled or drawn.

    Most engineering metals contain many tiny crystals called grains. Atoms have an ordered arrangement inside each grain; adjacent grains have different orientations. Grain size, alloy chemistry and processing history all influence properties.

    Supporting detail: Addendum 113 — Why two pieces of the same alloy can behave differently.

    Strength, hardness, ductility and toughness answer different questions

    Strength, hardness, ductility and toughness answer different questions

    Mechanical properties used when comparing metals
    PropertyQuestion it answersSelection example
    StrengthHow much stress can the material withstand? Yield strength concerns the start of permanent deformation; tensile strength concerns the maximum stress in a tensile test.A loaded bracket must resist permanent bending.
    HardnessHow strongly does the surface resist local indentation?A wear surface may need hardness, but hardness alone does not predict every kind of wear.
    DuctilityHow much permanent deformation can occur before fracture?A formed part needs enough ductility to survive bending.
    ToughnessHow much energy can the material absorb before fracture?A part struck repeatedly needs resistance to fracture, not simply a hard surface.

    Strong does not mean stiff. Stiffness describes elastic deflection. Hardening a steel can raise its strength substantially without a comparable change in its elastic stiffness. Geometry also affects how far a part bends.

    Pull a tensile specimen: strength, stiffness, ductility and toughness on one curve; Interactive

    Pull a tensile specimen: strength, stiffness, ductility and toughness on one curve

    A tension test pulls a specimen of known size until it breaks and records force against stretch. Dividing by the original area and gauge length turns that record into an engineering stress–strain curve, and one curve answers four different questions: how stiff, how strong, how far it stretches and how much energy it absorbs.

    The curves below are synthetic teaching curves, shaped to resemble common behaviour. Read the method from them, not the numbers for any real alloy.

    Tensile test: one curve, four different properties. This fallback shows the same synthetic curves and calculations as the live lab.

    A round specimen with a chosen gauge length L0 = 50 mm and diameter 12.5 mm (original area A0 = 122.7 mm²) is pulled by a moving crosshead. Engineering stress σ = F/A0 (N/mm² = MPa). Engineering strain ε = ΔL/L0 (mm/mm, shown here in %). Both use the original dimensions, so engineering stress falls after the neck forms even though the force is concentrated on a shrinking section.

    Synthetic specimen A (ductile, low-carbon-steel-like; illustrative, not a grade). Shaded: area under the curve to fracture. Dashed red line: unloading from 10% strain.
    01020300100200300400500Engineering strain (%)Engineering stress (MPa)Whole testUTS 400 MPaFracture0.00.20.40.60.81.00100200300400500Engineering strain (%)Engineering stress (MPa)Start of the test, magnifiedslope = E0.2% offset yield250 MPa
    • Stiffness: the elastic slope, Young’s modulus E = σ/ε = 200 MPa ÷ 0.001 = 200 000 MPa = 200 GPa.
    • Yield strength (0.2% offset): draw a line with slope E starting at 0.2% strain; where it meets the curve, σy ≈ 250 MPa (at 0.325% strain). Specimen A then stretches along a level yield plateau (stress constant at 250 MPa up to 1.5% strain) before strain hardening makes the curve rise again.
    • Ultimate tensile strength (UTS): the highest engineering stress, 400 MPa at 20% strain. A neck begins to form after this peak.
    • Ductility: elongation after fracture ≈ εf − σf/E = 30% − 0.16% = 29.84%.
    • Toughness (tensile): the area under the curve to fracture, ∫σ dε ≈ 107 MJ/m³ (1 MPa × 1 = 1 MJ/m³ = 1 J/cm³) of work per original volume. For this gauge volume that is about 659 J. This is not fracture toughness KIC, which is measured on a cracked specimen.

    Worked example: unloading leaves permanent set. Stop at ε = 10.0%, where σ = 371 MPa. Removing the load follows a straight line parallel to the elastic slope, so the elastic part σ/E = 371/200 000 = 0.185% springs back. Permanent set = 10.0% − 0.185% = 9.815%, or 4.91 mm on the 50 mm gauge length. Below the yield point the same rule gives zero set: at 0.1% strain and 200 MPa, 0.1% − 200/200 000 = 0.

    The same specimen at four moments. Length to scale; the neck shape is illustrative only.

    Before loading. Gauge length 50.0 mm (original L₀ = 50.0 mm). Drawn to scale.

    Fixed gripCrosshead →

    At the peak (UTS): stretched uniformly, no neck yet. Gauge length 60.0 mm (original L₀ = 50.0 mm). Drawn to scale.

    Fixed gripCrosshead →

    After the peak: deformation concentrates in a neck. Gauge length 63.5 mm (original L₀ = 50.0 mm). Drawn to scale; neck shape illustrative.

    neck (illustrative)Fixed gripCrosshead →

    Fractured; pieces fitted together. Broken pieces fitted back together: gauge length 64.9 mm (original L₀ = 50.0 mm). Drawn to scale; neck shape illustrative.

    neck (illustrative)Fixed gripCrosshead →

    Compare the four synthetic specimens. Each ranks differently on each property: the stiffest is not always the strongest, and the most ductile is not the toughest.

    All four synthetic curves on one set of axes; the right panel magnifies the first 1% of strain, where the elastic slopes differ.
    02040600100200300400Engineering strain (%)Engineering stress (MPa)Complete synthetic curvesABCD0.00.20.40.60.81.00100200300400Engineering strain (%)Engineering stress (MPa)First 1% of strainABCD
    • A Ductile, low-carbon-steel-like
    • B Aluminium-alloy-like
    • C Brittle, gray-iron-like
    • D Polymer-like (cold drawing)
    Read from the four synthetic curves (illustrative; not material data)
    SpecimenStiffness E (GPa)0.2% offset yield (MPa)UTS (MPa)Elongation after fracture (%)Area to fracture (MJ/m³)
    A: Ductile, low-carbon-steel-like20025040029.8107
    B: Aluminium-alloy-like7026631012.638
    C: Brittle, gray-iron-like100none: fractures first2150.10.42
    D: Polymer-like (cold drawing)2.536.748.053.221

    Specimen C fractures before the 0.2% offset line reaches its curve, so it has no offset yield strength in this test: the value is undefined, not zero. Specimen D (polymer-like) reaches its peak stress early and then draws a neck along the specimen; its offset value is shown only for comparison.

    Model, assumptions and sources

    The four curves are synthetic: piecewise cubic curves through chosen points, shaped to resemble common behaviour. They are not measurements, grades, certification values or design allowables. Real results depend on composition, processing, specimen geometry, test speed and temperature, none of which are modelled.

    Unloading and reloading follow a straight line with the initial elastic slope E (an ideal elastic approximation, no hysteresis). The load never goes below zero: once the unload line reaches zero load the specimen is slack. Permanent set = ε − σ/E, never negative. Elongation after fracture uses the same rule at the fracture point.

    The specimen length is drawn to scale. Its thinning before the peak keeps volume constant; the neck and the fracture are drawn only to show where deformation concentrates, not calculated from a necking or fracture law. True stress, strain rate, temperature and hardness are outside this lab.

    The area under the curve is work per original volume in this tension test (MPa = MJ/m³). Impact and fracture-toughness tests measure related but different behaviour.

    Sources: ASTM E8/E8M, Standard Test Methods for Tension Testing of Metallic Materials (the test method and its definitions; consult the current edition). W. D. Callister Jr. and D. G. Rethwisch, Materials Science and Engineering: An Introduction, chapter “Mechanical Properties of Metals” (engineering stress and strain, modulus, 0.2% offset yield, tensile strength and necking, ductility, toughness as area under the curve, elastic recovery on unloading).

    Density, conductivity and corrosion can decide the choice

    Density, conductivity and corrosion can decide the choice

    Density is mass per volume. Compare equal volumes when comparing densities; a large aluminum part can still weigh more than a small steel part. Use Geometry, Mass, and Force and Dimensional Analysis for mass, weight and unit calculations.

    Conductivity describes how readily heat or current travels through a material. Metals vary widely: choosing a good conductor is different from choosing a high-strength alloy.

    Corrosion resistance depends on the metal and its surroundings. Stainless steel and aluminum can corrode. Water, salts, trapped moisture and contact with other metals can change performance. A protective surface film helps only while the environment allows it to remain effective.

    Supporting detail: Addendum 114 — Why connecting two different metals can change corrosion.

    Ferrous means iron-based; a magnet does not identify the grade; Practice

    Ferrous means iron-based; a magnet does not identify the grade

    Ferrous metals have iron as their base: steels and cast irons belong here. Nonferrous metals have another base, such as aluminum, copper or titanium. Nonferrous does not mean that no trace of iron can be present.

    Magnetic response is a clue, not a material certificate. Some stainless steels are weakly magnetic or effectively nonmagnetic in certain conditions. Appearance and a magnet cannot establish an alloy, its temper or its strength.

    Practice choosing a property

    Materials and Manufacturing Processes/Metals

    Types of Steel

    Carbon, alloy, stainless and tool steels, plus the difference between a steel family and a complete material specification.

    Steel is iron-based, with carbon and other elements controlling behavior

    Steel is iron-based, with carbon and other elements controlling behavior

    Steel contains iron and carbon, often with additional alloying elements. Both composition and processing matter. The same grade can arrive softened for machining or hardened for service.

    Use four practical groups: carbon steel, alloy steel, stainless steel and tool steel. These are useful buying categories, not four mutually exclusive chemical definitions: stainless and tool steels also contain alloying elements.

    Steel branches into carbon, alloy, stainless and tool groups; carbon steel divides into low, medium and high carbon.
    The four steel groups are a selection map. They do not replace grade and condition.
    Carbon steel spans easy forming through hardenable cutting edges

    Carbon steel spans easy forming through hardenable cutting edges

    Relative carbon levels; actual grade limits come from the specification
    GroupTypical behaviorTypical uses
    Low carbonGenerally readily formed and welded; limited response to ordinary through-hardening.Sheet parts, brackets and general fabrication.
    Medium carbonMore potential for heat-treated strength; forming and welding require more consideration.Shafts, axles and machinery parts.
    High carbonCan develop high hardness after suitable treatment; less forgiving of forming and impact.Springs and some cutting tools.

    These are trends, not a strength ranking of every item on a shelf. Compare the delivery condition and required properties before substituting one grade for another.

    Alloy, stainless and tool steels solve different service problems

    Alloy, stainless and tool steels solve different service problems

    Choose a family, then qualify a specific grade
    FamilyComposition idea and purposeUses and limits
    Alloy steelIntentional additions such as chromium, nickel or molybdenum adjust properties and heat-treatment response.Loaded shafts and gears. Alloy steel is not automatically corrosion resistant.
    Stainless steelChromium supports a protective surface film; other elements adjust performance.Food equipment, fittings and exposed hardware. Grade, cleaning and environment still matter.
    Tool steelCarbon and alloy additions support hardness, wear resistance or performance at elevated temperature.Dies, punches and cutting tools. Heat treatment must balance wear resistance against chipping.

    Use Heat Treating Metals to distinguish hardening from tempering. Hardenability means the ability to harden to depth under given cooling conditions; it is not the same as a measured surface hardness.

    Grade labels identify a material; they are not a heat-treatment recipe

    Grade labels identify a material; they are not a heat-treatment recipe

    Common labels include 1018 and 1045 for carbon steels, 4140 for alloy steel, 304 and 316 for stainless steels, and O1, A2 and D2 for tool steels. Different designation systems have different rules. Do not apply a four-digit carbon-steel decoding rule to stainless or tool-steel labels.

    On an order, identify the governing material specification, grade, delivery condition, form and dimensions. A short grade name alone does not specify strength, hardness, surface finish or dimensional tolerance. Ask for the required certification when traceability matters.

    Use the current governing specification or the producer's grade sheet for composition limits and treatment requirements.

    Decode carbon and alloy steel numbers; read stainless and tool grades separately

    Decode carbon and alloy steel numbers; read stainless and tool grades separately

    In the common AISI/SAE four-digit carbon and alloy steel system, the first two digits identify the steel series: 10 is plain carbon steel and 41 is chromium-molybdenum steel. The last two digits give nominal carbon content in hundredths of a percent.

    Reading the series and nominal carbon content
    GradeSeriesNominal carbon
    101810: plain carbon18 → 0.18%
    104510: plain carbon45 → 0.45%
    414041: chromium-molybdenum40 → 0.40%

    304 and 316 stainless: their chemistries are similar, but 316 has an added alloying element, molybdenum. This improves resistance to chloride exposure and urban or industrial pollution compared with 304.

    Tool-steel groups: O1 is an oil-hardening grade, A2 is an air-hardening grade, and D2 is a high-carbon, high-chromium grade. These labels describe different tool-steel groups; they are not carbon-percentage codes.

    Supporting detail: Addendum 115 — Sources and quoted designation meanings.

    Cast iron is a separate iron-based material, and it can be machined

    Cast iron is a separate iron-based material, and it can be machined

    Cast irons generally contain more carbon than steels. Their properties depend strongly on how carbon appears in the structure. Gray iron contains graphite flakes and is useful for machine bases and housings where vibration damping matters; it is relatively brittle in tension. Ductile iron contains graphite nodules and can provide much greater ductility.

    Casting creates the initial shape. Machining can then finish bores, faces and other accurate features. “Cast” and “machined” are not competing material identities. White cast iron contains substantial hard carbide and behaves differently from graphite-containing irons.

    Watch the steel-family series at its original publisher; Practice

    Watch the steel-family series at its original publisher

    Metal Supermarkets hosts the five-part series: overview, carbon steel, alloy steel, stainless steel and tool steel. These are external learning resources, not specifications for purchasing or heat treatment.

    Practice reading a material description

    Materials and Manufacturing Processes/Metals

    Nonferrous Metals

    Aluminum, copper alloys, titanium, zinc and magnesium as choices for weight, conductivity, corrosion and manufacturing needs.

    Choose the useful property, then check the tradeoff

    Choose the useful property, then check the tradeoff

    Nonferrous metals have a base other than iron. They are not all lightweight, corrosion-proof or easy to machine. A useful first comparison names both the benefit and the constraint.

    Starting points for material selection, not design allowables
    MetalWhy choose it?Typical use and tradeoff
    AluminumLow density, useful corrosion resistance and ready availability in extruded shapes.Frames and housings. Lower elastic stiffness than steel; alloy and temper strongly affect strength.
    CopperHigh electrical and thermal conductivity.Conductors and heat-transfer parts. Relatively high density and cost; alloying usually reduces conductivity.
    TitaniumUseful strength relative to weight and corrosion resistance.Aerospace and chemical-service parts. Material and processing costs can outweigh the weight saving.
    ZincUseful casting behavior and ability to protect steel as a coating.Die-cast hardware and galvanized products. Temperature and load requirements limit use.
    MagnesiumVery low density among structural metals.Light housings. Corrosion protection and suitable manufacturing procedures matter.

    These are material-selection comparisons. For cutting operations, continue to Milling Operations, Lathe Operations and Feeds and Speeds.

    Aluminum needs both an alloy label and a condition

    Aluminum needs both an alloy label and a condition

    Aluminum is sold in many alloys and conditions. Wrought products are shaped by processes such as rolling or extrusion. Their familiar four-digit labels are organized into series, including 1xxx through 7xxx. A series is a family, not a hardness scale: a higher first digit does not guarantee a harder or better part.

    6061 and 7075 are common alloy labels to look for in supplier literature. Compare data for the actual product form and temper rather than treating either number as a complete specification. Cast aluminum uses a different designation system; do not transfer wrought-number rules to cast products.

    A suffix such as -O or -T6 identifies a condition as part of an alloy-temper designation. It must stay attached to the alloy on an order. See Heat Treating Metals for why processing history matters.

    The Aluminum Extruders Council defines the two tempers:

    • -O: “Annealed” — “Thermally treated to obtain the lowest strength temper.”
    • -T6: “Solution heat-treated and artificially aged.”

    Use the governing product specification for an actual purchase.

    Aluminum series 1xxx–7xxx identify purity or the main alloying additions

    Aluminum series 1xxx–7xxx identify purity or the main alloying additions

    Wrought aluminum series
    SeriesPrincipal alloying element or purity
    1xxxCommercially pure aluminum: at least 99% aluminum.
    2xxxCopper.
    3xxxManganese.
    4xxxSilicon.
    5xxxMagnesium.
    6xxxMagnesium and silicon.
    7xxxZinc.

    Supporting detail: Addendum 116 — Source for the series table.

    6061 favors fabrication; 7075 offers higher strength in the T6 condition

    6061 favors fabrication; 7075 offers higher strength in the T6 condition

    Compare like conditions: 7075-T6 has higher tensile strength than 6061-T6. The alloy number alone does not establish the strength of the material in hand.

    6061 and 7075 at selection level
    AlloyTypical usesFabrication considerations
    6061Truck and marine frames; tanks.Weldable and readily machined. Welding can change the temper in the weld area.
    7075Aircraft components, molds and industrial tooling.Good machinability, but generally considered unsuitable for welding because of cracking susceptibility.

    Supporting detail: Addendum 117 — Sources and comparison limits.

    Brass and bronze trade some of copper's conductivity for other properties; Practice

    Brass and bronze trade some of copper's conductivity for other properties

    Brass is principally a copper-zinc alloy. Depending on grade, it can offer useful forming or machining behavior for fittings, hardware and decorative parts. Do not assume every brass has the same machinability or suitability for contact with drinking water.

    Bronze traditionally means copper-tin alloy, but commercial names also include aluminum bronze and silicon bronze. Bronzes serve in bearings, bushings, gears and corrosion-resistant hardware, depending on grade. The word “bronze” alone is not enough to buy a bearing material.

    For a conductor, begin with conductivity requirements. For a bearing, begin with load, speed, lubrication and wear. The same copper-based family will not automatically win both comparisons.

    Practice a material choice

    Materials and Manufacturing Processes/Metals

    Heat Treating Metals

    Choose a conditioning process by its goal: soften, refine structure, harden, improve toughness or reduce residual stress.

    Heat treatment is conditioning: change structure to change properties

    Heat treatment is conditioning: change structure to change properties

    Heat treatment uses controlled heating, holding and cooling to change a metal's internal structure. It belongs to Conditioning in Manufacturing Process Categories. It can change properties without intentionally changing the overall shape, although distortion can occur.

    The result depends on alloy, starting condition, section thickness and the complete cycle. Heating more or cooling faster is not automatically better. A treatment that strengthens one alloy can soften another.

    Supporting detail: Addendum 118 — Steel microstructures are not the four steel families.

    Anneal to soften; normalize suitable steels to refine structure

    Anneal to soften; normalize suitable steels to refine structure

    Annealing is a family of treatments used to soften material, restore ductility or adjust its structure. Full annealing of suitable steels includes slow cooling; annealing cold-worked metal can form new grains and restore formability. Not every anneal uses the same temperature or cycle.

    Normalizing heats suitable steel into its austenitic range and then cools it in air. It can refine and make the structure more uniform after earlier processing. Air cooling and slow furnace cooling produce different results.

    Choose the process for the desired condition. Do not apply one universal temperature offset to all steels.

    Quench hardening usually needs tempering afterward; Practice

    Quench hardening usually needs tempering afterward

    Quench hardening heats suitable steel to form austenite, holds as required, then cools fast enough to obtain the intended hardened structure. It commonly raises hardness and strength but can reduce ductility and toughness. Cracking and distortion are possible.

    Tempering reheats hardened steel below the temperature at which austenite begins to form. It adjusts the balance of hardness and toughness and reduces some quenching stresses. It is not simply heating “just below” one critical temperature; the required cycle depends on grade and target properties.

    Qualitative temperature-time sketches: annealing has slow cooling; hardening has rapid quenching followed by a separate lower-temperature tempering cycle. No numerical times or temperatures are implied.
    Separate illustrative cycles, not a furnace program. Peak temperatures, holds and cooling rates are grade-specific.

    These concepts explain specifications; they are not operating instructions. Use the approved process for the identified material, equipment and quench medium.

    Practice the purpose of tempering

    Surface hardening puts wear resistance near the outside

    Surface hardening puts wear resistance near the outside

    A part may need a hard wear surface and a tougher interior. Carburizing adds carbon near the surface of suitable steel before hardening. Nitriding introduces nitrogen to develop a hard surface layer. These change surface chemistry.

    Induction hardening heats a surface region electrically and then quenches it. It uses the steel's existing composition rather than adding carbon. It therefore needs a suitable starting steel. Case depth, surface hardness and core properties must be specified together.

    Cold work strengthens; stress relief addresses locked-in stresses; Practice

    Cold work strengthens; stress relief addresses locked-in stresses

    Work hardening, also called strain hardening, occurs as metal is permanently deformed during cold working. It commonly raises strength and hardness while reducing remaining ductility. “Cold” here means below the relevant recrystallization range, not necessarily cold to the touch.

    Stress relief reduces residual stresses left by processing. These are stresses that remain without an external load. The goal is often dimensional stability during later machining or service. Stress relief is not automatically a full softening anneal and does not guarantee zero distortion.

    Practice restoring formability

    Aluminum strengthening does not use steel's martensite route

    Aluminum strengthening does not use steel's martensite route

    Some aluminum alloys can be strengthened by solution treatment, quenching and aging. Solution treatment puts selected elements into solid solution; subsequent aging develops small particles that obstruct deformation. Aging can occur naturally or through controlled heating, depending on the alloy and required condition.

    Solid-solution strengthening and precipitation strengthening are different mechanisms. Dissolved atoms provide the first; particles of another phase provide the second. Other aluminum alloys obtain much of their strength through cold work. Annealing can soften cold-worked material.

    An aluminum temper describes its processing condition. It is not synonymous with the steel process called tempering. Preserve suffixes such as -O and -T6 when reading or writing a material description; consult the relevant alloy-temper specification for their exact meanings.

    Supporting detail: Addendum 119 — Further reading on conditioning processes.

    Materials and Manufacturing Processes/Plastics

    Cutting and Machining Plastics

    Choose a separating process for the plastic and the feature, then control heat, chips and edge damage.

    Choose the cut from the material and the feature

    Choose the cut from the material and the feature

    Separating removes material. A saw makes a blank, a drill makes a round hole, and a router or mill can make an outline, pocket or slot. Identify the resin and grade before choosing the process: two clear sheets can be acrylic and polycarbonate, with very different cutting behavior.

    ProcessUseful forWhat controls the result
    SawingStraight cuts or curved blanks on a band sawUse a blade intended for the plastic and thickness. Teeth must cut without grabbing or packing the cut with chips; the finest tooth spacing is not always best.
    DrillingHoles through sheet or solid stockUse suitable drill geometry, support the exit surface and provide chip clearance. Brittle acrylic can crack when the drill grabs at breakthrough.
    Milling and routingAccurate edges, slots and pocketsSharp cutting edges, room for chips to escape and a supported workpiece reduce melting and chatter.
    Laser cuttingSheet profiles in an approved materialThe resin, additives, thickness and laser wavelength matter. A glossy edge alone does not prove dimensional accuracy.
    Hot-wire cuttingContours in suitable thermoplastic foamA heated wire softens a narrow path. This is not a general cutting method for solid plastic sheet or every foam formulation.

    See Milling Operations for tool paths and feature access. Machine use belongs with Equipment Operating Procedure and Machine Hazards and Housekeeping.

    Make chips instead of rubbing the plastic hot

    Make chips instead of rubbing the plastic hot

    Heat builds up near the cut because plastics generally conduct heat poorly. Softened chips can stick to the tool or weld back onto the edge. The symptoms are smeared surfaces, strings of softened material and chips packed into the cutter.

    Slowing the feed alone can make melting worse. Feed is how quickly the tool advances through the work; spindle speed is how quickly it turns. Too little advance per tooth lets the edge rub instead of taking a useful chip. Start with cutting data for the resin and tool, keep the tool sharp, and maintain chip clearance. Reducing excessive spindle speed may help, but feed, speed and cut depth must be considered together.

    Deep holes need a planned way to clear chips. Coolants and cleaners must be compatible with the plastic; an unsuitable liquid can cause fine cracks called crazing. Use Feeds and Speeds for the relationships, not its metal cutting values as plastic settings.

    Supporting detail: Addendum 120 — Why a slower cut can produce more heat.

    Acrylic, PVC and polycarbonate behave differently under a laser

    Acrylic, PVC and polycarbonate behave differently under a laser

    Acrylic (PMMA) absorbs the infrared energy of a CO₂ laser. Concentrated heating removes material along the cut and can leave a smooth, glossy edge. That result depends on the sheet grade, thickness and process settings; it is not a promise for every clear plastic or every laser.

    PVC is not a laser-cutting substitute for acrylic. Heating PVC can release hydrogen chloride; with moisture it forms hydrochloric acid, creating an exposure and corrosion concern. This is a chemical incompatibility, not simply a poor-looking edge.

    Polycarbonate is often a poor choice for a clean CO₂-laser-cut sheet edge. It can yellow, char and leave a degraded edge instead of acrylic's clear finish. Specialized processes can cut some polycarbonate, so “polycarbonate cannot be laser processed” is too broad. Routing or sawing is often the better starting choice for a clear polycarbonate profile. Do not assign PVC's chlorine chemistry to polycarbonate.

    Material approval and operating controls belong with Equipment Operating Procedure and Chemicals and Safety Data Sheets. Appearance or a trade name is not enough to identify an unknown sheet.

    Supporting detail: Addendum 121 — Manufacturer references and the limits of a material list.

    Trim the molding excess without cutting into the part; Practice

    Trim the molding excess without cutting into the part

    A gate is the entry from a molding flow channel into the part cavity. Degating separates the part from that feed connection. Flash is a thin unwanted fin, often at a mold joint; trimming removes it. A burr is a raised edge left by cutting. These are different defects, even when the same trimming tool can remove them.

    Support the part near the cut and leave the required contour intact. Cutting into the wall creates a notch that may start a crack. For batches, tumbling with suitable media can remove small burrs, but it can also round wanted edges or damage thin features. Inspect the dimensions and surface after the trial.

    Practice diagnosing a melted cut

    Machining/Production and Nontraditional Processes

    Electrical Discharge Machining

    Sinker and wire EDM use controlled sparks to shape conductive work, with a gap between electrode and finished surface.

    EDM needs an electrically conductive workpiece

    EDM needs an electrically conductive workpiece

    Electrical discharge machining (EDM) removes material with repeated electrical discharges across a small gap. Local heating melts and vaporizes tiny amounts of material. The electrode does not cut by rubbing against the work.

    Check conductivity before considering EDM. Hardened tool steel is a candidate; ordinary nonconductive glass or ceramic is not. Hardness is less restrictive than in cutting with a conventional tool, but composition and electrical and thermal properties still affect machining behavior.

    Supporting detail: Addendum 122 — Why the fluid and the gap matter.

    Use sinker EDM for cavities and wire EDM for through profiles

    Use sinker EDM for cavities and wire EDM for through profiles

    Sinker, ram or die-sinking EDM feeds a shaped electrode toward the work to make a cavity. The cavity is larger than the electrode because removal extends across the spark gap. Mold cavities and hardened dies are typical uses. Electrode wear must be allowed for.

    Wire EDM feeds a thin wire through the cutting zone while controlled motion traces a profile. The wire is continuously renewed. An enclosed opening normally needs a start hole for threading; the wire must pass through the work. A blind pocket calls for another approach, such as sinker EDM.

    Wire EDM is useful for intricate die openings and thin features with low cutting force. Internal corners still have a radius: the wire radius plus the working gap limits how tight a corner can be. Specify a small radius rather than a mathematically sharp corner.

    Offset the wire center by its radius plus the spark gap; Practice

    Offset the wire center by its radius plus the spark gap

    Top view of a wire beside a retained workpiece wall. The wire center path lies in the removed region, one wire radius plus one spark gap from the wall, in dielectric fluid.

    The wire runs perpendicular to this top view. Gap and wire are enlarged. The dashed line is the wire center path; the solid boundary is the finished wall.

    Center-path offset = wire radius + spark gap. Measure this distance from the finished contour toward the material being removed. In a simple straight cut, the full cut width (kerf) is wire diameter plus twice the gap.

    For an illustrative radius of 0.120 mm and a one-sided gap of 0.018 mm, the offset is 0.138 mm. These are teaching inputs, not machine settings. A control may apply compensation to a programmed part contour; do not also offset the geometry a second time.

    Practice a wire offset

    Supporting detail: Addendum 123 — Why one offset does not describe every pass.

    Low cutting force does not mean no thermal change

    Low cutting force does not mean no thermal change

    EDM can hold fine features and produce a fine finish with suitable finishing passes, but its surface contains small discharge craters. Melted material can solidify again as a recast layer. Heat can alter nearby material, so surface integrity and any required finishing belong in process selection.

    Supporting detail: Addendum 124 — Further reading on EDM surfaces and wire systems.

    Compare Electrochemical Machining. Safety references: Electrical Safety, Machine Hazards and Housekeeping and Chemicals and Safety Data Sheets.

    Machining/Production and Nontraditional Processes

    Electrochemical Machining

    ECM dissolves conductive metal through an electrolyte rather than removing it with sparks or a cutting edge.

    ECM removes metal by electrochemical dissolution

    ECM removes metal by electrochemical dissolution

    In electrochemical machining (ECM), the metal workpiece is the positive electrode (anode), and the tool is the negative electrode (cathode). Direct current passes through a flowing, electrically conductive liquid called an electrolyte. Metal dissolves from the work surface while the tool advances without cutting contact.

    Consider ECM for conductive metals, including hard alloys and complex contours. The tool shape, gap and electrolyte flow govern the resulting feature. A suitable electrolyte must be matched to the metal; a generic salt solution is not a universal process recipe.

    ECM uses a conducting liquid; EDM uses controlled breakdown

    ECM uses a conducting liquid; EDM uses controlled breakdown

    Two electrically powered processes with different removal mechanisms
    QuestionECMEDM
    What removes material?Electrochemical dissolutionHeat from discharges
    What does the liquid do?Conducts current and carries reaction products awayInsulates between discharges; cools and flushes
    Does the tool wear?No removal-related tool wear in principle; real tooling still needs maintenanceElectrode wear occurs; wire is renewed
    What surface results?Can be smooth and burr-free, without a thermal recast layerDischarge craters and possible recast material

    ECM is not a melting process and normally avoids a heat-affected zone. That does not mean the electrolyte stays cold: current flow heats it. Flow, temperature, chemistry and gap control all matter.

    Supporting detail: Addendum 125 — Why hardness alone does not set ECM performance.

    Compare Electrical Discharge Machining. Safety references: Chemicals and Safety Data Sheets and Electrical Safety.

    Machining/Production and Nontraditional Processes

    Laser, Waterjet and Plasma Cutting

    Compare focused light, moving water and a plasma arc by material, thickness, edge quality and thermal effects.

    Distinguish a thermal cut from an erosive cut

    Distinguish a thermal cut from an erosive cut

    Laser and plasma use concentrated heat. Waterjet uses mechanical energy. A heat-affected zone (HAZ) is material beside a cut whose properties or structure have changed from heating without being melted away.

    Three cut sections: laser light and a plasma arc make thermal cuts; an abrasive waterjet erodes a cut without a thermal heat-affected zone.

    Conceptual cross-sections, not a scale comparison of kerf or HAZ widths. Kerf means the width removed by a cut.
    Laser cutting concentrates light into a small region

    Laser cutting concentrates light into a small region

    A focused laser beam supplies thermal energy; cutting gas commonly helps remove material. Laser cutting is a candidate for fine profiles in sheet material. Metals, wood and selected plastics require suitable laser systems; a machine that cuts acrylic is not automatically a metal cutter.

    A narrow kerf and fine detail are possible, particularly in thinner material. Edge finish, taper and dimensional accuracy depend on material, thickness, focus, gas and cutting speed. Melting, discoloration or charring may affect the edge. Do not assume the HAZ is zero.

    Supporting detail: Addendum 126 — Why the material and laser must be matched.

    Waterjet cuts soft materials; added abrasive cuts hard materials

    Waterjet cuts soft materials; added abrasive cuts hard materials

    Pure waterjet uses a high-speed water stream for materials such as foam, rubber and other soft sheet. Abrasive waterjet adds hard particles to erode metals, stone, non-tempered glass and many ceramics. Electrical conductivity is not required.

    Waterjet normally creates no thermal HAZ. It is a candidate for thick stock or a heat-sensitive edge, but thickness still affects speed and cut quality. Taper, where the cut width changes through the thickness, and striations, visible lines down the cut face, can limit accuracy and finish. Slower quality cuts may reduce these effects. Brittle edges may chip and need finishing.

    Identify the glass type before choosing a process: tempered glass is not a candidate for ordinary waterjet cutting. A no-HAZ process is not a promise of no mechanical damage.

    Supporting detail: Addendum 127 — Further reading on glass and waterjet limits.

    Plasma is a thermal cutting candidate for conductive metal

    Plasma is a thermal cutting candidate for conductive metal

    A plasma cutter uses an electric arc through ionized gas to melt metal; the gas stream expels it. The work must conduct electricity. Steel, stainless steel and aluminum are candidates; ordinary glass and wood are not.

    Plasma often suits productive plate cutting where its edge quality meets the drawing or later machining is planned. Compared with a fine laser cut in thin sheet, small details can be harder to hold. Edge bevel, attached solidified metal (dross) and a HAZ may need attention. Equipment and thickness determine actual capability; plasma is not automatically a rough-only process.

    Supporting detail: Addendum 128 — Compare capability on the actual thickness.

    Continue with Selecting a Material-Removal Process. Safety references: Machine Hazards and Housekeeping, Electrical Safety, Fire Safety and Chemicals and Safety Data Sheets.

    Machining/Production and Nontraditional Processes

    Ultrasonic Machining

    A vibrating tool drives abrasive particles against hard, brittle work without requiring electrical conductivity.

    Ultrasonic impact machining removes material with abrasive particles

    Ultrasonic impact machining removes material with abrasive particles

    A shaped tool vibrates rapidly with a small stroke, driving abrasive particles in a liquid slurry against the work. The removal energy at the work is mechanical, even though electricity powers the vibration system.

    Consider this process for holes or shaped cavities in hard, brittle materials such as glass and ceramics. The work need not conduct electricity. It is generally less effective for soft, ductile materials that deform instead of breaking away under particle impacts.

    No thermal HAZ does not mean a perfect surface

    No thermal HAZ does not mean a perfect surface

    Ultrasonic impact machining normally avoids a thermal heat-affected zone. Abrasive size, tool wear, slurry access and feature depth affect dimensional control and finish. Fine abrasive can improve the surface, but removal may be slow; edge chipping and subsurface damage remain possible in brittle work.

    Distinguish this process from ultrasonic-assisted cutting, where vibration is added to another cutting or grinding process. The two names do not imply identical tooling or removal mechanisms.

    Supporting detail: Addendum 129 — Why a shaped tool does not give an exact-size copy.

    Compare Electrical Discharge Machining and Selecting a Material-Removal Process. Safety references: Machine Hazards and Housekeeping and Chemicals and Safety Data Sheets.

    Machining/Production and Nontraditional Processes

    Chemical Milling and Etching

    A mask protects selected areas while an etchant dissolves exposed metal; sideways etching limits the detail.

    A mask defines where chemical removal occurs

    A mask defines where chemical removal occurs

    Chemical machining uses a chemical reaction to dissolve exposed material. A protective mask covers areas that should remain. Chemical milling can make shallow recesses or reduce a metal part's weight. Photochemical etching uses a patterned resist and can produce intricate thin-sheet parts, including through openings.

    Unlike ECM, ordinary chemical etching does not use an external machining current between a tool and the work. Select an etchant compatible with the particular material; “chemical machining” does not name one chemistry that works on everything.

    Allow for sideways etching beneath the mask

    Allow for sideways etching beneath the mask

    Etching can spread sideways beneath the mask edge as well as into the surface. This undercut limits narrow lands, corner sharpness and dimensional control, especially as etch depth increases. The mask design must compensate for the etching behavior. Surface finish depends on the material and chemistry. Chemical removal avoids a cutting-induced thermal HAZ, but that is not the same as saying the chemical bath has no temperature requirements.

    Supporting detail: Addendum 130 — Why thin-sheet patterns are a useful application.

    Compare Electrochemical Machining and Selecting a Material-Removal Process. Safety reference: Chemicals and Safety Data Sheets.

    Machining/Production and Nontraditional Processes

    Selecting a Material-Removal Process

    Screen candidates by material, feature access, thickness and surface requirements before comparing production cost.

    Screen the material and feature before choosing a machine; Checklist

    Screen the material and feature before choosing a machine

    • Identify the material, its condition and conductivity. Check Material Families and Material Properties.
    • Mark the feature: through profile, blind cavity, shallow recess or finished surface. Identify tool access and any start-hole requirement.
    • Record thickness, minimum internal radius and the thinnest remaining feature.
    • Read the drawing's dimensional and surface requirements. Decide whether a thermal HAZ or recast layer is acceptable.
    • Shortlist processes, then check actual equipment capability, finishing needs and production quantity.

    Hardness alone does not select a process. A hard nonconductive ceramic rules out ordinary EDM even though EDM can cut hardened steel. See Tolerances and Fits and Surface Texture and Finish for what the finished part must meet.

    Use the feature to narrow the candidates

    Use the feature to narrow the candidates

    Starting candidates, not guaranteed process approvals
    Part requirementCandidate and reasonCheck next
    Hardened steel die with a through opening and small inside radiiWire EDM: conductive work, low cutting force, fine profileWire radius plus gap, threading access and surface integrity
    Blind cavity in hardened conductive metalSinker EDM: shaped electrode reaches a cavityElectrode manufacture, wear and flushing access
    Thick non-tempered glass plate with a through profileAbrasive waterjet: no conductivity requirement or thermal HAZGlass type, thickness capability, piercing and edge quality
    Shaped hole in a hard nonconductive ceramicUltrasonic Machining: abrasive impact removes brittle materialTool wear, depth, chipping and required finish
    Fine profile in thin metal sheetLaser: concentrated beam and narrow kerfMaterial match, HAZ and edge quality
    Conductive metal plate blank for later machiningPlasma: productive thermal cutting candidateThickness capability and machining allowance
    Soft foam gasketPure waterjet: water alone can separate soft materialSupport, water compatibility and detail size
    Repeated complex metal contours without an EDM recast layerECM: dissolution instead of meltingMaterial chemistry, electrolyte flow and tooling cost
    Many shallow areas in metal sheetChemical milling: masked areas can be etched togetherUndercut, depth control and surface finish
    Keep conventional machining on the candidate list; Practice

    Keep conventional machining on the candidate list

    For an accessible flat face, hole or round shaft in a machinable material, conventional cutting may be the simplest route. Use the family map to reach those methods. A part may combine sawing, milling and grinding, or use waterjet for a blank followed by machining of critical faces.

    Increasing thickness can increase cutting time, taper or flushing difficulty. A thin remaining wall may deflect or be damaged even when cutting forces are small. Ask for evidence of capability on the actual material and geometry rather than relying on a universal tolerance ranking.

    Practice selecting a process Practice HAZ reasoning

    Safety references: Equipment Operating Procedure, Machine Hazards and Housekeeping and Chemicals and Safety Data Sheets.

    Supporting detail

    Addendum

    Additional evidence, standards context, and background referenced from the main text.

    1. Safety/Universal Rules/Electrical Safety

      Addendum 1. “It’s not the voltage that gets you, it’s the current”

      The saying is true. What usually gets taken from it — that the voltage does not matter — is not. Current is electricity actually moving through you, and it takes very little of it to do real harm. Volts sitting on a wire nobody is touching do nothing at all.

      Two things together decide how much current you get: how hard the electricity is being pushed, which is what voltage measures, and how hard your body holds it back, which is called resistance. Harder push, more current. More resistance, less.

      Your resistance is not a fixed number — wet skin holds current back far less than dry skin does, so the same push moves much more current through you. That half of it cannot be relied on, which is why the line is drawn on the half that can be: the push.

      Back to reference 1

    2. Safety/Universal Rules/Electrical Safety

      Addendum 2. The international standards are not one number

      On datasheets you will meet a different set of figures, and there the AC and DC limits are not the same:

      50 V AC / 120 V DC
      Extra-Low Voltage under IEC 61140 and IEC 60364-4-41 — 50 V AC rms, or 120 V ripple-free DC. “Ripple-free” is a real condition, not a figure of speech: past roughly 10 % rms ripple the supply is treated as AC and the lower number applies.
      30 V AC / 60 V DC
      Class ES1 in IEC 62368-1, the standard behind most benchtop and consumer equipment. ES1 is the class that needs no safeguard at all; ES2 runs up to 50 V AC / 120 V DC and requires one.

      Back to reference 2

    3. Safety/Universal Rules/Chemicals and Safety Data Sheets

      Addendum 3. All sixteen sections, and the four OSHA does not enforce

      This is OSHA's own list, from Appendix D to 29 CFR 1910.1200. The numbers and headings are fixed; a manufacturer cannot renumber them or reorder them.

      Section 1
      Identification — product identifier, recommended use and restrictions on use, who made it, emergency phone number.
      Section 2
      Hazard(s) identification — classification, signal word, hazard statement(s), symbol(s) and precautionary statement(s).
      Section 3
      Composition / information on ingredients — chemical name, CAS number, and for a mixture, the ingredients classified as health hazards and how much of each.
      Section 4
      First-aid measures — by route of exposure, plus the symptoms that matter and when to get medical attention.
      Section 5
      Fire-fighting measures — suitable and unsuitable extinguishing media, and what the chemical gives off when it burns.
      Section 6
      Accidental release measures — the spill response.
      Section 7
      Handling and storage — "conditions for safe storage, including any incompatibilities".
      Section 8
      Exposure controls / personal protection — the OSHA permissible exposure limit, the ACGIH threshold limit value, engineering controls, PPE.
      Section 9
      Physical and chemical properties — physical state, odor, flash point, auto-ignition temperature, density, pH and the rest.
      Section 10
      Stability and reactivity — reactivity, conditions to avoid, "incompatible materials", hazardous decomposition products.
      Section 11
      Toxicological information — the health effects and the data behind them, including any carcinogen listings.
      Section 12
      Ecological information
      Section 13
      Disposal considerations
      Section 14
      Transport information
      Section 15
      Regulatory information
      Section 16
      Other information — "the date of preparation of the SDS or the last change to it".

      Twelve through fifteen are the odd ones out. The headings have to be there: a note to the standard says an SDS "must also include the headings" for those four, "in order", to stay consistent with the international system the format comes from. What goes under them is a different question. Appendix D says "Sections 12-15 may be included in the SDS, but are not mandatory", and a second note to the same paragraph says "OSHA will not be enforcing information requirements in sections 12 through 15, as these areas are not under its jurisdiction."

      Those four cover the environment, waste, shipping and other agencies' regulations — EPA and DOT ground, not OSHA's. So Section 13 tells you what the manufacturer suggests doing with the leftovers. It does not tell you what happens to them here. Ask.

      Two more things about the shape of the document. The section order is fixed but the order within a section is not — preparers "are not required to present the information in any particular order within each section", so two sheets can look different inside the same numbered box. And a heading with nothing under it is not an oversight: where there is no relevant information, "the SDS shall clearly indicate that no applicable information is available." Read that as nobody has the data — not as nothing to worry about.

      Back to reference 3

    4. Safety/Universal Rules/Chemicals and Safety Data Sheets

      Addendum 4. Signal words, pictograms and H-numbers — how Section 2 is written

      There are exactly two signal words, and OSHA defines them in 1910.1200(c): a signal word indicates "the relative level of severity of hazard", and "'Danger' is used for the more severe hazards, while 'warning' is used for the less severe."

      Severity is relative to the same kind of hazard, and that is the part that catches people. Flammable liquids in OSHA's Appendix C are the clean example — all three categories carry the same Flame pictogram, and the signal word is the only thing separating them:

      Category 1
      Danger — "Extremely flammable liquid and vapor"
      Category 2
      Danger — "Highly flammable liquid and vapor"
      Category 3
      Warning — "Flammable liquid and vapor"

      So “warning” does not mean mild. A Category 3 flammable liquid still catches fire. The signal word ranks a hazard against others of its own kind; it is not a statement that the chemical is safe.

      The pictograms are a fixed set of eight — a black symbol in a red-bordered diamond standing on a point. OSHA names them: Flame, Flame Over Circle, Exclamation Mark, Exploding Bomb, Corrosion, Gas Cylinder, Health Hazard, and Skull and Crossbones.

      The eight OSHA Hazard Communication pictograms
      1. GHS Flame pictogram.
      2. GHS Flame Over Circle pictogram.
      3. GHS Exclamation Mark pictogram.
      4. GHS Exploding Bomb pictogram.
      5. GHS Corrosion pictogram.
      6. GHS Gas Cylinder pictogram.
      7. GHS Health Hazard pictogram.
      8. GHS Skull and Crossbones pictogram.

      The H-numbers are an index, not the warning. Real sheets often print a code such as H225 beside a hazard statement. Those codes come from the international GHS scheme this format is built on, which treats them as reference labels rather than as a substitute for the statement itself. OSHA's Appendix C does not use them at all — it specifies the sentence. Read the sentence.

      Back to reference 4

    5. Safety/Universal Rules/Chemicals and Safety Data Sheets

      Addendum 5. Telling a current sheet from an old one

      Section 16 carries "the date of preparation of the SDS or the last change to it." That is the only date on the document, and it is how you tell a live sheet from one that has sat in a binder for a decade.

      Keeping it current is the manufacturer's job, not yours. Under 1910.1200(g)(5), when a manufacturer or importer "becomes newly aware of any significant information regarding the hazards of a chemical, or ways to protect against the hazards, this new information shall be added to the safety data sheet within three months."

      Back to reference 5

    6. Safety/Universal Rules/Chemicals and Safety Data Sheets

      Addendum 6. What makes a flammables cabinet “approved”, and how to spot one

      OSHA calls it a storage cabinet and defines it by a fire test rather than by how solid it looks. 29 CFR 1910.106(d)(3) requires cabinets to "limit the internal temperature to not more than 325 °F. when subjected to a 10-minute fire test", with all joints and seams staying tight and the door staying closed throughout.

      The same paragraph requires the marking, which is the fastest way to recognise one: "Cabinets shall be labeled in conspicuous lettering, 'Flammable - Keep Fire Away.'"

      Back to reference 6

    7. Safety/Universal Rules/Machine Hazards and Housekeeping

      Addendum 7. The word for this, and where it comes from

      “Nip point” is not shop slang. It is the term the machine-guarding standard uses. 29 CFR 1910.212(a)(1) requires guarding against “hazards such as those created by point of operation, ingoing nip points, rotating parts, flying chips and sparks.”

      OSHA’s Machine Guarding eTool puts it plainly: “In-running nip point hazards are caused by the rotating parts on machinery.” Its longer treatment, Concepts and Techniques of Machine Safeguarding (OSHA 3067), gives three kinds:

      • “Parts can rotate in opposite directions while their axes are parallel to each other. These parts may be in contact (producing a nip point) or in close proximity.” — meshing gears.
      • “Nip points are also created between rotating and tangentially moving parts. Some examples would be: the point of contact between a power transmission belt and its pulley, a chain and a sprocket, and a rack and pinion.”
      • “Nip points can occur between rotating and fixed parts which create a shearing, crushing, or abrading action.”

      So belts, chains, sprockets and gears are rotating hazards by name. What makes them dangerous is that they draw material in — not that two parts close on each other.

      OSHA is just as direct about the plain shaft: “Rotating motion can be dangerous; even smooth, slowly rotating shafts can grip hair and clothing, and through minor contact force the hand and arm into a dangerous position.”

      These parts are meant to be behind covers, and the standard is specific about it — 29 CFR 1910.219(f)(3): “All sprocket wheels and chains shall be enclosed unless they are more than seven (7) feet above the floor or platform.”

      Back to reference 7

    8. Safety/Universal Rules/Machine Hazards and Housekeeping

      Addendum 8. What the investigations actually describe

      Oregon’s state fatality-investigation program, summarizing the record for this class of machine: “The most common causes of death and injury from metal lathes include entanglement of clothing in moving parts, being hit by loose objects on the lathe (e.g., chuck keys, tools, metal shavings) and being struck by a part that has not been adequately secured.” (OR-FACE 2012-18-1, Experienced Journeyman Machinist Killed While Operating an Engine Lathe, 2014.)

      Four investigated deaths, all the same event — something attached to a person touched something turning, and the machine did the rest:

      • Smoothing a part while it turned. A 69-year-old machinist with over 30 years’ experience “reached over the work piece to smooth out a radiused transition with emery cloth and a file in hand” and “his loose clothing (left arm sleeve) became entangled around the rotating work piece”. A co-worker 30 feet away heard “a strange ‘winding-up’ sound”. Of that same part, the shop foreman had said that “the rough surface could grab clothing or gloves”. (OR-FACE 2012-18-1.)
      • Stock sticking out the back of the spindle. A 52-year-old machinist was set up on a 103-inch steel bar: “Due to the length of the material, 24 inches were sticking out the back of the lathe, unguarded, and held in place with a clamping device that rotates as the lathe rotates.” He reached across the running machine and “the sleeve of his shirt became entangled”. (Kentucky FACE 21KY002, 2021.)
      • A burr on the end of the bar. A lathe operator in his twenties had a 1 7/8-inch stub of 1-inch bar standing past the tailstock. “The right pocket of his shirt was caught by the rotating tailstock burr. His shirt wrapped around the stock and tightened at the decedent’s neck and chest.” The listed contributing factor is “walking to and/or reaching over unguarded rotating bar stock”. OSHA makes the same point in general: the danger “increases when projections such as set screws, bolts, nicks, abrasions, and projecting keys… are exposed on rotating parts.” (Michigan FACE 14MI034, 2014; OSHA Machine Guarding eTool.)
      • A drill press. “As Employee #1 reached into the unguarded point of operation, his shirt sleeve or gloves became entangled in the drill bit. Employee #1 was pulled toward the machine, entangling Employee #1’s long hair. The drill press continued to spin, completely pulling Employee #1 into the operating area.” She died of her injuries. The same report records that the spindle “had speeds that ranged from 45 to 1115 rotations per minute”. (OSHA accident 114097.015, 20 February 2019.)

      Why abrasive cloth keeps appearing. The UK Health and Safety Executive publishes a sheet on this one task: “Every year there are serious accidents involving the use of emery cloth on metalworking lathes. These accidents result in serious injuries such as broken bones, dislocations, lacerations, amputations and occasionally death.” The mechanism it names is the one above: “Accidents occur when hand-held emery cloth is entangled in the rotating parts of the machine or where the emery cloth is snagged on the rotating component dragging the operator into the danger zone.” Its own rules are that emery cloth “should NEVER be applied directly by hand on manual metalworking lathes”, and that gloves “increase the risk of entanglement and” are “never acceptable near rotating parts of machinery”. (HSE Engineering Information Sheet No 2, rev 1, 2015 — that is HSE’s guidance; ask what the procedure is in the shop you are standing in.)

      And the drill press is not the exception it looks like. OSHA’s own drill-press training script lists, among the ways accidents happen, “getting dangling jewelry, loose clothing, or hair caught in the drill chuck (rotational hazard)”, and states: “The primary hazards of drill presses are contact at the point of operation and rotational hazards. An operator can risk serious hand injury when working too close to the drilling area, wearing gloves, loose clothing, loose hair, or jewelry.”

      Back to reference 8

    9. Safety/Universal Rules/Machine Hazards and Housekeeping

      Addendum 9. Why belts and chains count as rotating, not pinching

      OSHA sorts machine hazards by the motion that causes them, and “pinch point” is the vocabulary it attaches to parts that travel, not to parts that turn. From Concepts and Techniques of Machine Safeguarding (OSHA 3067):

      • Reciprocating motion — “Reciprocating motions may be hazardous because, during the back-and-forth or up-and-down motion, a worker may be struck by or caught between a moving and a stationary part.”
      • Transverse motion, which means movement in a straight continuous line — “Transverse motion (movement in a straight, continuous line) creates a hazard because a worker may be struck or caught in a pinch or shear point by the moving part.”

      A belt on a pulley is a rotating hazard that draws material in; a table running up against a column is a moving hazard that closes on it. Both can take a hand, and the vocabulary is worth keeping straight because the two do not have the same tell. You avoid the first by giving it nothing to grip. You avoid the second by knowing where the gap is going.

      Back to reference 9

    10. Safety/Universal Rules/Machine Hazards and Housekeeping

      Addendum 10. Why the rule has no exceptions in it

      Guarding is not a local preference. 29 CFR 1910.212(a)(1) — quoted already in Rotating machinery above for its definition of a nip point — is a guarding requirement first: one or more methods of machine guarding shall be provided to protect the operator and other employees from hazards including those created by point of operation, ingoing nip points, rotating parts, flying chips and sparks.

      The reason a rule like this is written without exceptions is that the exceptions are exactly where people get hurt. A guard comes off for a legitimate setup, the setup takes longer than expected, somebody else walks up to a machine that looks normal and is not. The standard's own answer to “but this task genuinely needs the guard off” is not a more careful operator — it is Lockout/Tagout, the next card on this page, which is a procedure rather than a permission.

      Back to reference 10

    11. Safety/Universal Rules/Machine Hazards and Housekeeping

      Addendum 11. What the standard actually covers

      29 CFR 1910.147(a)(1)(i): “This standard covers the servicing and maintenance of machines and equipment in which the unexpected energization or start up of the machines or equipment, or release of stored energy could cause injury to employees.”

      Two things are worth reading twice. Unexpected is the whole point — the hazard is not that the machine runs, it is that it runs while someone has a hand inside it. And stored energy is named alongside energization, because a machine that has been switched off and unplugged can still contain everything it needs to move once.

      “Servicing and maintenance” is much broader than it sounds. The standard defines it as “constructing, installing, setting up, adjusting, inspecting, modifying, and maintaining and/or servicing machines or equipment”, and adds: “These activities include lubrication, cleaning or unjamming of machines or equipment and making adjustments or tool changes, where the employee may be exposed to the unexpected energization or startup of the equipment or release of hazardous energy.” Setting up, clearing a jam and changing a tool are all on that list.

      Stored energy gets its own requirement — 1910.147(d)(5)(i): “Following the application of lockout or tagout devices to energy isolating devices, all potentially hazardous stored or residual energy shall be relieved, disconnected, restrained, and otherwise rendered safe.” The lock comes first, and then the energy already in the machine is dealt with. Both, in that order.

      Back to reference 11

    12. Safety/Universal Rules/Machine Hazards and Housekeeping

      Addendum 12. Why the chuck key rule is worded as a grip and not as a reminder

      A key left in a chuck is launched the instant the machine starts. Written as “remember to remove the key” the rule depends on you remembering at the one moment you are busy with something else; written as the key never leaves your hand there is nothing to remember, because a key that is still in the chuck is still in your hand and you cannot start the machine.

      Do not let a spring be the thing that saves you. Some chuck keys are spring-loaded and eject themselves when you let go — ours are, on the lathe. Not all keys are, and our Jacobs chuck keys are not. So the habit has to be the same on every machine, or it is a habit that works until you walk up to a different chuck.

      A drill-press chuck key is lighter than a lathe chuck key and carries far less energy. It is still dangerous: it is in the list of things that become projectiles in Rotating machinery above, and “less mass” is not the same as “will not hurt you” when it leaves a spinning chuck at the distance you are standing.

      Back to reference 12

    13. Safety/Universal Rules/Fire Safety

      Addendum 13. Why dry sand is on the list, and why it is probably not on yours

      Sand does work. The Aluminum Association’s Guidelines for Handling Aluminum Fines (F-1) lists fine dry sand, “preferably finer than 20 mesh,” next to approved dry powders as effective for isolating an aluminum fines fire. It also says what has to be true first.

      • Dry. F-1 says dry sand. Damp sand is water, and water “will react with the aluminum fines to form flammable hydrogen gas.”
      • Already in the room. “A plentiful supply should be easily available in the operating area and stored in covered bins or drums.” Sand fetched after the fire starts is not that.
      • With the right tool waiting beside it. “Long handled shovels should be available at each bin or drum, and should be constructed of non-sparking metal.”
      • Laid, not thrown. The shovels “lay the sand or powder around the edge or perimeter of the fire.” You are walling it in. Anything thrown at the pile raises the dust cloud that is the actual explosion.
      • Decided before it started, by someone senior. “Qualified supervisory personnel should decide in advance whether it is better to attempt to fight the fire or to withdraw to a safe location and allow it to burn itself out.”

      Those are preconditions, not tips. If you cannot point at the covered sand bin and the non-sparking shovel beside it right now, you do not have this option — and the call to fight it was never yours to make on the spot. Alarm, evacuate, report.

      Back to reference 13

    14. Safety/Equipment/Drill Press

      Addendum 14. Why larger drills usually need fewer revolutions per minute

      At the same spindle speed, a larger bit's outer edge travels faster. Diameter, work material and bit material all affect the speed choice. “Larger or harder means slower” is a starting trend, not a speed setting.

      Back to reference 14

    15. Machining/Measurement and Fit/Choosing Shop Measuring Tools

      Addendum 15. What a sweep can and cannot establish

      A sweep combines the part's shape with its orientation and support. Runout is not a direct measurement of formal concentricity. A height sweep relative to a plate can reveal variation, but calling it a flatness inspection requires the proper setup and evaluation. Follow the drawing's specified inspection method.

      Back to reference 15

    16. Machining/Measurement and Fit/Reading Measuring Scales

      Addendum 17. Other 0.001 in verniers can have different spacing

      A 50-division vernier can span 49 main-scale spaces of 0.050 in. Each vernier space is 0.049 in, again leaving a 0.001 in difference. Read the actual main scale; do not apply the trainer's 0.025 in spacing to that tool. The Starrett catalog, page 102, illustrates the 50-division arrangement.

      Back to reference 17

    17. Machining/Measurement and Fit/Reliable Shop Measurement

      Addendum 19. The offset-and-angle relationship

      For a small angle, the error is approximately the offset multiplied by the tilt in radians. An offset of 2 in and a tilt of 0.0005 rad give about 0.001 in of error. This is distinct from simply looking at the scale from an angle. See the Abbe discussion in the Mitutoyo Quick Guide, page 11.

      Back to reference 19

    18. Machining/Measurement and Fit/Shop Layout and Angle Measurement

      Addendum 20. Finding the middle of two heights

      If the lower edge of a slot is 0.600 in above the reference and the upper edge is 0.900 in above it, the center is (0.600 + 0.900) / 2 = 0.750 in above that reference. Half the difference, 0.150 in, is half the slot height; it still must be added to the lower height.

      Back to reference 20

    19. Machining/Measurement and Fit/Shop Layout and Angle Measurement

      Addendum 22. Why the 5-minute vernier works

      On the arrangement described in the Starrett catalog, page 306, 12 vernier spaces span 23 main-scale degrees. Each vernier space is 23/12 degrees, or 1°55′: 5 minutes short of two degrees. The line alignment reveals that difference. Page 308 distinguishes a plain universal bevel from the graduated protractor used with it.

      Back to reference 22

    20. Addendum 23. Why the family name does not settle performance

      Base fluid, additives, dilution and water quality all affect the result. A neat oil can use mineral, vegetable or other base oils; “straight” describes using it undiluted. A synthetic is not automatically harmless or maintenance-free. See the fluid-family comparison on page 7 of Washington State Department of Ecology's metalworking-fluid guide and HSE's exposure overview.

      Back to reference 23

    21. Machining/Cutting Fluids/Coolant Concentration and Mixing

      Addendum 26. Why mixing order matters

      The aim is small oil droplets dispersed throughout the water, rather than water trapped inside an oil-rich mixture. Cimcool's mixing explanation describes the emulsifier's role. Mixing order is separate from the arithmetic: the right measured amounts still need the right preparation method.

      Back to reference 26

    22. Machining/Cutting Fluids/Coolant Concentration and Mixing

      Addendum 27. Derive the balance, or solve for an unknown addition volume

      Concentrate already in the tank plus concentrate added equals concentrate in the final tank: VC/100 + AP/100 = FT/100. Multiply through by 100 and solve for P. This tracks concentrate, not the Brix number.

      If a premix concentration P is already chosen, solve for its addition volume: A = V(T − C) ÷ (P − T). Check that A is positive and that V + A fits within the allowed fill level. If P = T and C differs from T, no finite addition reaches T exactly. If C = T already, adding premix at T preserves it.

      Back to reference 27

    23. Addendum 28. Why inspection and measurement belong together

      Concentration alone does not describe contamination or biological condition. HSE's metalworking-fluid guidance calls for maintaining fluid quality and checking bacterial contamination. A supplier-directed fluid-management program may include pH and microbial checks as well as concentration; use its methods and action limits. Master Fluid Solutions' FAQ explains odor, residue and concentration-related skin irritation.

      Back to reference 28

    24. Addendum 30. Why the waste route depends on what is in the tank

      Washington State Department of Ecology's metalworking-fluid guide, pages 12–13, illustrates how formulation and contamination change waste management. Its state-specific rules are not a disposal authorization elsewhere. EPA's used-oil guidance also distinguishes qualifying used oil from other wastes and notes that state requirements can be stricter. The product SDS is a starting point; used coolant also contains material picked up during machining.

      Back to reference 30

    25. Machining/Sawing and Grinding/Cutoff Sawing

      Addendum 31. Why finer teeth do not fix every bad cut

      More teeth share the load, but smaller gullets have less room for chips. Too much feed can overload the teeth; too little can make them rub. A wandering cut also calls for checking the blade condition, tension, guides, and workholding against the manuals. Changing speed alone cannot correct loose work or a worn guide.

      Back to reference 31

    26. Machining/Sawing and Grinding/Saw Blade Selection

      Addendum 32. Why the answer can be a fraction of a tooth

      The product counts tooth spacings across the contact length. Actual engaged tooth tips are discrete, and the number changes as the blade moves. Entry, exit, variable pitch, and curved sections also change contact. This estimate explains the selection principle; it does not guarantee a fixed count throughout a real cut.

      Back to reference 32

    27. Machining/Sawing and Grinding/Vertical Band Machining

      Addendum 34. Why relief cuts help with some outlines

      A relief cut runs in from a scrap edge toward the outline, allowing waste to separate in smaller pieces. Plan relief cuts on the waste side and preserve the finishing allowance. They can provide room to approach a contour from another direction; they do not make the blade itself capable of a smaller turning radius.

      Back to reference 34

    28. Machining/Sawing and Grinding/Vertical Band Machining

      Addendum 35. Why joining includes more than making a weld

      Alignment keeps the band running straight. The prescribed annealing or tempering cycle restores suitable flexibility at the joint, and finishing removes raised weld material. A sound-looking joint alone is not proof that the loop is ready to run. DoALL's blade welder range is a starting point for equipment-specific documentation.

      Back to reference 35

    29. Addendum 37. Why facing can reveal a tram problem

      A tilted spindle puts opposite sides of a face cutter at different heights. Adjacent passes may leave steps even with the vise correctly aligned. Surface finish alone does not identify the cause: check the geometry before changing cutting data.

      MIT: Introduction to the Mill illustrates the distinction between head tramming and vise alignment on a knee mill.

      Back to reference 37

    30. Addendum 38. Read the whole sweep, not just two endpoints

      Top-view fixed jaw sweep: indicator body on the operator side; increasing readings mean the jaw is closer to the indicator. Left reads zero and right plus 0.06 mm, so move the right end away from the indicator.

      The simplified direction diagram is another view of the linear preset. Jaw tilt is exaggerated; the traverse arrow follows the contact point and does not name physical table travel.

      A smooth change suggests angular misalignment. A sudden jump at one spot suggests a chip, burr, damaged jaw or unstable contact. Tightening can move the vise, which is why the final sweep matters. Equal endpoint readings alone cannot reveal a bowed or damaged face between them.

      Public demonstration: Haas: How to Square and Indicate a Vise. The alignment principle transfers; machine controls do not.

      Back to reference 38

    31. Addendum 39. Why the force divides this way—and what the model cannot tell you

      Take moments about the heel: Fpart(a + b) = Pb. Vertical balance gives Fpart + Fheel = P. These are upward reactions on the strap; the strap pushes downward on the part and heel with equal magnitudes.

      This neglects strap weight, friction, deformation and additional contacts. It does not calculate stud force from wrench torque, allowable loads, sliding resistance or the number of clamps needed. Those depend on the hardware, workpiece and cutting forces. See Carr Lane's strap-clamp guide for the underlying geometry and hardware guidance.

      Back to reference 39

    32. Addendum 41. Check both repeatability and the offset sign

      Repeat the touch from the same direction. On manual feed screws, account for backlash when reversing; a handwheel reading can change while the table has not yet moved. Do not use a rough saw edge as though it were a finished datum. The radius correction is geometry, independent of the control's button sequence.

      MIT's mill introduction covers mechanical edge finding and feed-screw backlash.

      Back to reference 41

    33. Addendum 43. Manufacturer examples and the drill-chuck exception

      HAIMER's toolholder catalog (PDF) identifies Weldon-flat and shrink-fit products. SCHUNK explains hydraulic actuation and the expansion sleeve; hydraulic designs include milling-rated products, so a family-wide ban on milling would be wrong. BIG DAISHOWA describes its mechanical milling chucks.

      Albrecht's APC catalog (PDF) describes its geared special-collet mechanism. Its separate CNC Drill Chuck manual (PDF) explicitly includes finish milling among that named product's uses. Such a product rating does not qualify every chuck sold under the same brand. REGO-FIX explains the powRgrip collet, holder and press unit.

      Back to reference 43

    34. Addendum 47. Check your selection reasoning without a video

      A defensible answer identifies the limiting feature or load, names a candidate mechanism, and states what its manufacturer must confirm. Different products can satisfy the same job. If the only justification is a brand name or a universal star rating, the selection is incomplete.

      Back to reference 47

    35. Machining/Milling/Milling Chatter

      Addendum 51. Several faults can look or sound like chatter

      • Runout or one damaged edge can make one flute carry more load and leave uneven tooth marks or non-uniform edge wear.
      • Rubbing or built-up edge can smear material, generate heat and produce a poor finish without a regenerative vibration.
      • Chip re-cutting can scratch the finish and damage edges when chips remain in the cutting zone.
      • A forced vibration follows a repeating input from the cutter, interrupted cut, drive or surrounding system. Chatter is the self-reinforcing case; both still require finding the flexible path and the excitation.

      After the approved safe stop, inspect the pattern, cutter and setup together. Sound is useful for noticing a change, not for identifying the failed component. Seco Tools’ vibration guidance connects insufficient stiffness and damping to self-excited chatter and identifies surface-finish and cutting-edge-wear consequences.

      Back to reference 51

    36. Machining/Milling/Milling Operations

      Addendum 52. How the inspection decides, and what its numbers are

      The part is kept as a list of every cut: the space each tool swept through. The top of the metal at any point is the raw top lowered by every cut that reaches that point. The inspection measures walls, floors, holes and chamfers at sampled locations on that surface, with numbers rounded to a hundredth of a millimetre. A display grid plus probes derived from each cut and drawing boundary look for excess metal and gouges. Passing means the modeled checks pass; it does not certify every point of a real surface. Removed volume is an estimate from the 0.25 mm grid; very small cuts can change the analytic surface without a resolved grid volume. Walls and holes pass within ±0.10 mm, the bore within ±0.05 mm, and floors and faces within ±0.05 mm.

      Tapped holes are accepted when their drilled diameter falls inside the minor-diameter limits for a 6H internal thread: 4.917 to 5.153 mm for M6×1, and 6.647 to 6.912 mm for M8×1.25. These are finished minor-diameter limits, used here as a teaching proxy for pilot quality; they are not universal tap-drill recommendations or a complete 6H inspection.

      Sources: Gühring’s metric table, page 46, distinguishes nominal tap-drill sizes from finished minor limits. Haas’s M6×1 example specifies a 5 mm tap drill and a 2P–3P chamfer, illustrating why the model’s 4P is not universal. Vermont Gage explains the separate thread and cylindrical gauge checks.

      Back to reference 52

    37. Machining/Milling/G-code and Toolpaths

      Addendum 53. How the simulator reads and runs a program

      Each line is read in the order a control carries out the parts of a line: feed rate, spindle speed and tool first, then the tool change, the spindle, coolant, the modes, the move, and last the program end. So S2500 M3 G1 X20 F100 starts the spindle before it moves. Two codes from one group on a line, such as G0 G1, are an error.

      The interpreter first reads the whole program, and a second machine runs it at once to find its path, its time and the first place it would stop; that is the path drawn before you press Play. Pressing Play runs the program again on the block, move by move. The metal, the vise and the tools are those of the simulator in Milling Operations: every cut is kept as the space the tool swept, and a move that would break a tool rule or hit the vise stops where it would happen.

      An arc’s end point has to be on its circle to within 0.005 mm or 0.1 % of the radius, whichever is larger. A rapid, or a feed with the spindle stopped, stops a hair short of the first metal it would touch. The volume removed is an estimate from a 0.25 mm grid.

      Back to reference 53

    38. Addendum 54. When a rough or hard exterior can change the choice

      Conventional milling can be useful in a qualified first pass on a rough surface because its gradual entry can reduce the impact on a brittle cutting edge. Tooling guidance also documents specialized exceptions such as machining through titanium alpha case before returning to climb milling. That is not a rule to choose conventional whenever stock has rust or scale: the layer’s hardness and abrasiveness, the work material, tool grade and geometry, engagement, fixturing and the approved process all matter. Use the tooling manufacturer’s data and the method approved for the machine.

      Seco Tools’ mechanical-load guidance discusses rough-surfaced material and gradual entry; Kennametal’s titanium guidance gives the material-specific alpha-case exception.

      Back to reference 54

    39. Addendum 55. Why some machines climb mill without trouble

      A feed drive can be designed to reduce backlash, for example with a preloaded ball nut. The important question is whether the machine controls that movement, not simply whether it is called CNC. The chip is the same shape either way; what changes is whether the machine can hold the table against the pull of the cut.

      Sources: Sandvik Coromant: down milling versus up milling explains chip formation, rubbing and the backlash condition. Harvey Performance: climb versus conventional milling describes the lifting and downward force tendencies in peripheral horizontal milling. The arrows illustrate directions; they do not calculate force magnitudes.

      Back to reference 55

    40. Engineering Fundamentals/Power Transmission/Backlash and Lost Motion

      Addendum 56. Where the definition comes from

      Modern Machine Shop's column Eliminate Backlash From Machining Centers (Mike Lynch, 2000) defines backlash as “any non-movement that occurs during axis reversals.” This page uses the CourseWiki definition on Screw Threads: clearance that must be taken up after reversing before the load moves. In a real drive, elastic deflection can add lost motion as well; the lab below leaves it out.

      Back to reference 56

    41. Engineering Fundamentals/Power Transmission/Backlash and Lost Motion

      Addendum 57. A readout that measures the slide, and when the clearance still matters

      The MIT 2.670 milling machine notes (section “Using the Micrometer Dials”) also point out that a digital readout measures the bed position directly, so its reading is not thrown off by backlash. The clearance is still in the drive. A force that pushes the carriage along the screw can move it across the clearance without the handwheel turning; Climb and Conventional Milling explains when a cutting force does that.

      Back to reference 57

    42. Engineering Fundamentals/Power Transmission/Backlash and Lost Motion

      Addendum 58. What the model means, and why it is not a prediction for every CNC

      The coordinates describe the cutter relative to the workpiece, viewed from above: +X right, +Y up. A moving table travels in the opposite sense. The drive infers position from motor/screw motion, with no compensation or linear-position correction. The first approach seats both axes and calibrates the coordinates at the start, before the plunge. That reference is kept through the cut.

      With positive initial seating, each actual coordinate c is updated as c = min(max(c, q), q + B), where q is the motor-inferred coordinate and B the total clearance. Negative seating uses the band [q − B, q]. These are shifted forms of the same play operator as the screw lab above. Each axis holds until a band edge reaches it. If the axes take up clearance at different moments within a command segment, the actual path has an extra bend; the cutter sweep includes it.

      Every cut segment removes a disc swept along that actual segment, a capsule with the cutter's 2 mm radius. The area shading compares the actual and zero-backlash histories at the same command step. Span measurements intersect those capsules with the two centre sections. They are not a best-fit diameter, an overall size tolerance or a guarantee of the rest of the contour.

      All other effects are idealized away: no runout, deflection, wear, servo lag, cutting-force pull, thermal error or compensation. Friction is assumed to hold a slide inside its clearance. The shapes, clearance settings and viewing speed are illustrative. Restart begins a fresh workpiece; changing a setting recomputes the experiment.

      HEIDENHAIN describes direct linear-axis measurement as working “without intervening mechanical elements”. Such feedback changes what the controller can observe; this lab deliberately does not model that correction. Haas's ballbar interpretation guide distinguishes lost motion at reversal from controller-related reversal spikes. Only rigid lost motion is included here.

      Back to reference 58

    43. Machining/Milling/Feeds and Speeds

      Addendum 59. Feed per tooth is not always the thickness of the chip

      Feed per tooth is how far the work moves between teeth. The chip a tooth actually cuts is only that thick when the cutter is at least half buried across its diameter. In a narrower cut, each tooth meets the work at a slant and the chip comes out thinner. Climb and Conventional Milling shows this: at a width of cut of 10% of the diameter, the thickest part of the chip is 60% of the feed per tooth.

      Some cutting data raises the feed per tooth for narrow cuts to make up for this. Read what your data assumes before using its numbers, and ask if it does not say. Thinner chips also take more energy per cubic inch, which is one reason a power estimate is a band.

      The spindle-speed, table-feed and feed-per-tooth relations follow Sandvik Coromant’s milling formulas and definitions. The calculator’s cutting-speed and feed-per-tooth ranges are from GARR TOOL’s general purpose milling guide, and its cutting-energy bands are converted from Kennametal’s milling power factors.

      Sandvik’s specific cutting-force explanation shows why chip thickness and cutting-edge geometry affect the energy estimate. Haas’s spindle power curves illustrate why available power depends on RPM; read the machine’s own curve and duty rating rather than treating its headline horsepower as available everywhere.

      Back to reference 59

    44. Addendum 60. The calculation and its units

      The solid round section has area moment of inertia I = πd⁴/64. With x measured from the clamp, displacement magnitude is y(x) = Fx²(3L − x)/(6EI). At the tip, x = L, so δ = FL³/(3EI). Both displacement and slope are zero at x = 0.

      Use N for force, mm for length and diameter, and N/mm² for E. The controls show E in GPa: multiply by 1,000 to get N/mm². The answer is in mm; multiply by 1,000 for µm.

      For F = 100 N, L = 40 mm, d = 10 mm and E = 600 GPa, I = 490.874 mm⁴ and δ = 0.007243 mm = 7.243 µm. Halfway along that tool, y(L/2) is 5/16 of the tip value, or 2.264 µm. These are calculated examples, not measured cutter data.

      Back to reference 60

    45. Machining/Turning/Lathe Operations

      Addendum 62. Reference examples for these mechanisms

      Sherline’s lathe instructions show three-jaw and four-jaw chucks, a faceplate and the ordinary between-centers arrangement. Sherline’s collet description shows one representative split-collet and taper arrangement. Its drive-dog instructions distinguish the dog and drive plate from direct faceplate clamping.

      The steady-rest instructions show a rest fixed to the bed, while the follower-rest instructions show the rest attached to the saddle so it travels with the cutter. The drawings here explain those generic roles; they are not setup instructions or copies of manufacturer artwork.

      Back to reference 62

    46. Machining/Turning/Lathe Operations

      Addendum 63. Rake and chipbreakers depend on the whole cutting setup

      Rake describes the slope of the surface the chip flows over. Clearance keeps the tool below the edge from rubbing. Material matters, but hardness alone does not dictate positive, neutral or negative rake: tool material, edge strength, holder geometry and rigidity also matter. Use the tool maker's cutting geometry and range for the application.

      A chipbreaker guides a chip into a tighter curl so it can break. It may be molded into an insert or ground into a tool. It works within a range of feeds and depths; a very thin chip can curl without breaking. A chipbreaker is not a guarantee of short chips at every setting.

      Back to reference 63

    47. Machining/Turning/Lathe Operations

      Addendum 64. How a manual lathe keeps every pass on one helix

      The carriage is coupled to the leadscrew by closing the half-nut. On a lathe with an inch leadscrew cutting an inch thread, the thread dial shows when to close it so that each pass drops into the same groove. Many machinists also feed the tool in with the compound travel set near 30° from the radial cross-feed direction, so that most of the cut is taken by one flank of the tool.

      The simulator simplifies all of this. It keeps every pass on one helix for you, feeds the tool straight in, and checks a simplified 60° thread by its crest and root diameters. A real thread is checked against a thread table with thread gauges or measuring wires.

      Back to reference 64

    48. Engineering Fundamentals/Motion and Rotation/Gear Ratios

      Addendum 65. Why tooth counts work, and what the dashed circles mean

      The gears here share one tooth size, called module, and a 20° pressure angle. Their pitch diameters are proportional to tooth count. The dashed pitch circles roll together at equal tangential speed, so nA × NA = −nB × NB when clockwise is positive on both shafts. Here n is signed rotational speed and N is tooth count.

      Tooth flanks are involute curves. Actual tooth surfaces can slide during contact even though the pitch circles roll. The drawing samples those curves, simplifies the tooth roots and adds a small visual clearance. It is a motion model, not a manufacturing drawing.

      Back to reference 65

    49. Engineering Fundamentals/Motion and Rotation/Gear Ratios

      Addendum 66. Primary references and model boundaries

      The lab assumes rigid external spur gears, fixed shaft centers, matched tooth size and steady transmitted load. It starts lossless; its efficiency control applies the same specified loss to every actual mesh, including both meshes around an idler. Acceleration, elasticity, backlash dynamics, detailed friction, noise and tooth strength are omitted. Changing tooth counts moves the centers to maintain the correct mesh; it does not represent swapping a gear into a fixed gearbox housing.

      Back to reference 66

    50. Engineering Fundamentals/Motion and Rotation/Gear Ratios

      Addendum 67. Why adding losses is only an approximation

      For a 1000 W input and three 96% stages, the losses are 40 W, 38.4 W and 36.864 W. Each 4% applies to a smaller incoming power. Adding 4% + 4% + 4% incorrectly takes every loss from the original 1000 W.

      Back to reference 67

    51. Engineering Fundamentals/Motion and Rotation/Gear Ratios

      Addendum 68. Follow both stages of one loaded train

      A 24-tooth driver at 1440 rpm and 4 lbf·ft drives 48 teeth. That shaft also carries a 15-tooth driver for a 45-tooth output. Both stages are 96% efficient, with no other losses. After stage 1: 720 rpm and 4 × 2 × 0.96 = 7.68 lbf·ft. The shared shaft carries that same 720 rpm into stage 2. Final output: 1440/(2 × 3) = 240 rpm and 7.68 × 3 × 0.96 = 22.1184 lbf·ft, versus 24 lbf·ft ideally. Overall efficiency is 0.9216.

      Back to reference 68

    52. Engineering Fundamentals/Motion and Rotation/Gear Ratios

      Addendum 69. Worked design: a winch with a speed ceiling and torque floor

      A motor supplies 1680 rpm and 24 lbf·ft. The output must be at most 40 rpm and at least 950 lbf·ft. Available gears have 10–60 teeth, with unlimited copies; each reduction stage is at most 6:1 and 97% efficient. There are no idlers or other losses.

      1. Speed requires i ≥ 1680/40 = 42. Two stages give at most 6² = 36, so try three.
      2. Three stages give ηtotal = 0.97³ = 0.912673. Torque requires i ≥ 950/(24 × 0.912673) ≈ 43.3708. Torque controls.
      3. Choose 12 → 48, 15 → 45, and 16 → 60 teeth: i = 4 × 3 × 3.75 = 45. Every tooth count and stage ratio meets its limit.
      4. ωout = 1680/45 ≈ 37.33 rpm ≤ 40 rpm. τout = 24 × 45 × 0.912673 = 985.68684 lbf·ft ≥ 950 lbf·ft. Both pass. Three external meshes make the output opposite to the input.

      This is one feasible train, not a claim of an optimum or a complete winch specification. For load force at a drum, continue to Torque; for travel speed, use Rotation and Linear Speed.

      Back to reference 69

    53. Machining/Production and Nontraditional Processes/Broaching

      Addendum 72. Why the finishing teeth need not keep getting taller

      Once the intended profile is reached, further rise would make the feature larger. Repeated finishing teeth can maintain the final size as earlier teeth wear. See Nidec's precision cutting tools reference for broach terminology.

      Back to reference 72

    54. Machining/Drilling and Threading/Twist Drills and Drill Sizes

      Addendum 76. Why a damaged or uneven point makes a poor hole

      Unequal lip lengths or unequal angles make the two lips remove different amounts of material. The drill can cut oversize or wander. A rounded edge can rub instead of producing a chip. Inspect the point and replace or correctly sharpen a damaged drill before trying to compensate with more force.

      Back to reference 76

    55. Machining/Drilling and Threading/Drilling on a Drill Press or Mill

      Addendum 77. Why “always center drill first” is too broad

      The starting recess determines which part of the next drill touches first. An unsuitable angle or an oversized pilot can load the drill's outer corners before its center is supported. Accurate starting also depends on tool rigidity, alignment and the surface being entered. A center-drilling step alone does not guarantee location.

      Back to reference 77

    56. Machining/Drilling and Threading/Drilling on a Drill Press or Mill

      Addendum 78. Why changes in the cut matter

      Changes in chip shape, sound, thrust or finish can indicate rubbing, chip packing, a damaged point or unsuitable cutting data. Continuing to force the tool does not diagnose the cause.

      Back to reference 78

    57. Machining/Drilling and Threading/Reaming, Boring and Hole Seats

      Addendum 79. A nominal tool size is not a finished-hole guarantee

      Tool condition, alignment, runout, temperature and workholding affect the result. A reamer stamped with the desired diameter still needs an appropriate prepared hole and cutting conditions. Inspect the actual bore rather than accepting it from the tool marking.

      Back to reference 79

    58. Machining/Drilling and Threading/Thread Callouts and Threaded Fasteners

      Addendum 80. Check the entire joint before substituting a fastener

      Diameter, pitch, length and head clearance are only part of the selection. The nut or tapped material, coating, bearing surfaces, installation conditions and intended load also matter. A bolt that can be screwed into the hole has passed an assembly check, not a strength calculation.

      Back to reference 80

    59. Machining/Drilling and Threading/Tap Drills and Tapping

      Addendum 81. Chart basis and the approximation's limits

      The three comparisons were checked against page 1, cutting-tap column, of North American Tool's Tap Drill Sizes — Inch & Metric with Drill Size Formulas, using the supplied four-page copy. Only these selected rows are used here; the chart is not reproduced. The estimate and a selected stock drill need not be identical. The chart's metric percentage formula gives about 77% when the entire pitch is subtracted, which is why “about 75%” must remain approximate.

      Back to reference 81

    60. Machining/Drilling and Threading/Tap Drills and Tapping

      Addendum 82. Keep percentage and fraction separate

      For a metric cutting-tap estimate, the supplied chart gives hole diameter = major diameter − (percentage × pitch / 76.98), entering 75 for 75%. Equivalently, multiplying a reference thread depth by 75% requires the fraction 0.75. Mixing those conventions introduces a factor-of-100 error. This formula estimates geometry, not allowable joint load.

      Back to reference 82

    61. Machining/Drilling and Threading/Tap Drills and Tapping

      Addendum 83. Why the local setup decides what is permitted

      Recognizing a production process does not authorize it on a particular machine. Spindle speed, tapping attachment and power-tapping procedure depend on the particular machine and setup.

      Back to reference 83

    62. Machining/Turning/Turning Tapers

      Addendum 84. Check the rate with a fresh example

      A taper goes from 1.100 to 0.950 in over 3.000 in. Its diameter changes 0.150 in, so the rate is 0.050 in/in, or 0.600 in/ft. At half the length, the diameter has changed half as much: 0.075 in. These are teaching dimensions, not a standard machine taper.

      Back to reference 84

    63. Machining/Turning/Turning Tapers

      Addendum 85. Why the factor of two belongs in the angle formula

      Cut the cone through its axis. One side forms a right triangle whose rise is (D − d)/2 and whose run is l. Tangent is rise divided by run. Using the whole diameter change as the rise gives the wrong tool path.

      Back to reference 85

    64. Machining/Turning/Turning Tapers

      Addendum 86. Why this is an estimate rather than an exact setting

      The taper gives tan(α) = TPI/2. If L is the actual distance along the tilted work between support points, the ideal geometric offset is L sin(α). At shallow angles sin(α) and tan(α) are nearly equal. The usual formula substitutes L tan(α); real center contact and setup error add further differences. It is not a method for steep cones.

      Back to reference 86

    65. Machining/Turning/Single-Point Threading

      Addendum 87. Radial depth and compound travel are different quantities

      If compound travel is c at angle β from radial, its radial component is h = c cos(β); therefore c = h / cos(β). The corresponding diameter reduction is 2h. Check whether a dial reads actual slide travel or diameter change before using it.

      Back to reference 87

    66. Machining/Turning/Single-Point Threading

      Addendum 88. Why only certain threading-dial positions return to the groove

      The threading dial is geared to the leadscrew and carried with the carriage. Its rotation tracks their relative position. For a selected thread, certain dial positions repeat the relationship that lets the tool enter the same helical groove when the half-nuts close. Other positions can put the tool between previous passes, cutting a second groove.

      Back to reference 88

    67. Machining/Turning/Single-Point Threading

      Addendum 89. Verify the formula without a thread-depth table

      Split the symmetric 60° tooth down the middle. The right triangle has axial width P/2 and radial height H. Its 30° angle gives tan(30°) = (P/2)/H. Rearranging gives the formula above. If a defined profile removes radial heights a at the crest and b at the root from this triangle, its height is H − a − b. Neither a nor b can be guessed from pitch alone.

      For a hypothetical sharp-V, 20-per-inch thread, P = 0.050 in and H = 0.04330 in. At 29° from radial, ideal compound travel would be H/cos(29°) = 0.04951 in. These calculations isolate geometry; they are not settings for cutting a real 20-per-inch fastener.

      Back to reference 89

    68. Machining/Sawing and Grinding/Offhand Grinding

      Addendum 93. Why a wheel can glaze, and where ring testing applies

      Glazing depends on the wheel grade and operating conditions as well as the work material. Hard material alone does not diagnose it. Norton's ring-test guidance explains the method's application and limitations; follow the full manufacturer procedure before mounting.

      Back to reference 93

    69. Machining/Sawing and Grinding/Precision Grinding

      Addendum 96. Why a real grinding plan needs more than the quotient

      The calculation assumes a flat starting face and no wheel wear or elastic error. A real plan may reserve material for lighter finish cuts, include dressing and spark-out, and stop to measure. Stock removal from two faces must be assigned to each face; do not silently count it twice.

      Back to reference 96

    70. Addendum 97. Where the sensor sits matters

      A motor encoder measures the motor, while a linear scale can measure the slide directly. Screw error, backlash and elastic deflection between the sensor and the cutting point may remain. Homing establishes a reference; repeating homing is not a general cure for lost motion. See Oriental Motor's closed-loop stepper overview for an example of feedback used with steppers.

      Back to reference 97

    71. Addendum 99. Check the conversion in both directions

      Subtract endpoints: (26−6,4−4) = (20,0); (26−26,19−4) = (0,15); (11−26,19−19) = (−15,0). Add those changes to A: (6+20+0−15,4+0+15+0) = (11,19). The net move is (5,15), not the final absolute position.

      Back to reference 99

    72. Addendum 100. Other ways to create a program

      A short program can be written directly in a text editor. Conversational programming asks for feature dimensions at the control. Manual data input (MDI) lets the operator enter commands at the control, often for immediate execution. These routes still require correct modes, geometry and setup data; they do not bypass prove-out. Tormach's post-processor guidelines identify control-specific requirements.

      Back to reference 100

    73. Addendum 103. Calculate where a speed ceiling starts to matter

      With 90 m/min and a ceiling of 1800 RPM, the crossover diameter is 90 × 1000 / (π × 1800) = 15.92 mm. At 10 mm, unrestricted CSS would request 2865 RPM, so the simplified steady-state result is 1800 RPM. Acceleration and other machine limits can reduce actual speed further. See Haas's spindle-speed commands workbook for its G50/G96/G97 implementation.

      Back to reference 103

    74. Addendum 105. Why a good diameter measurement does not prove a taper is correct

      The two axis touch-offs locate tangent lines, not every possible contact point on the nose. The normal to an angled surface points in another direction, so its tangency requires another offset. Haas's tool nose compensation discussion describes the resulting undercut or overcut on tapered and curved profiles.

      Back to reference 105

    75. Addendum 108. Check roughing depth and remaining material

      The first pass changes diameter from 24 to 22 mm, a 1 mm radial cut. The second changes 22 to 20.6 mm, a 0.7 mm radial cut. Finishing from 20.6 to 20 removes 0.3 mm radially. Extending the OD cuts beyond Z−25 leaves room for the cutoff blade and places the finishing departure on material that will not belong to the finished part.

      Back to reference 108

    76. Machining/Production and Nontraditional Processes/Shop Inspection and Quality Control

      Addendum 109. Why the gauge itself needs limits and wear checks

      Gauges cannot be manufactured to an infinitely exact size. Their own tolerances and wear allowances are selected under the applicable gauging specification. Repeated use can shrink a plug or enlarge a ring and change its decision.

      Back to reference 109

    77. Machining/Production and Nontraditional Processes/Process Capability and Variation

      Addendum 110. Why a small sample range is not the full process spread

      The range uses only the two extremes observed in this sample. More readings, different tools, temperature changes and later production may reveal variation not present in these five parts. Standard deviation is another measure of spread that uses every reading's distance from the mean; no standard-deviation calculation is needed for this example.

      Back to reference 110

    78. Machining/Production and Nontraditional Processes/Process Capability and Variation

      Addendum 111. Where capability indices fit

      Indices such as Cp and Cpk compare estimated process variation and its position with specification limits. Their interpretation depends on the data, stability, distribution and application requirements. A single threshold is not a universal acceptance rule, and a five-reading classroom example is not a capability study.

      Back to reference 111

    79. Machining/Production and Nontraditional Processes/Automated Manufacturing Cells

      Addendum 112. Cell, system and integration describe different scopes

      A flexible manufacturing system may coordinate multiple machines or cells with material handling and scheduling. Computer-integrated manufacturing is the broader idea of connecting manufacturing information and activities. These terms overlap in use, but are not interchangeable names for one machine configuration.

      Back to reference 112

    80. Materials and Manufacturing Processes/Metals/Metals and Their Properties

      Addendum 113. Why two pieces of the same alloy can behave differently

      Permanent deformation involves movement of crystal defects called dislocations. Grain boundaries, dissolved alloying atoms and small particles can obstruct that movement. Cold working and heat treatment change these obstacles. Composition alone therefore cannot tell you the strength of a finished piece.

      Back to reference 113

    81. Materials and Manufacturing Processes/Metals/Metals and Their Properties

      Addendum 114. Why connecting two different metals can change corrosion

      When dissimilar metals are electrically connected in a conducting liquid, such as salty water, galvanic corrosion can accelerate attack on the more active metal. Material pairing, exposed areas and the environment matter. Isolation and drainage can be as important as the alloy choice.

      Back to reference 114

    82. Materials and Manufacturing Processes/Metals/Types of Steel

      Addendum 115. Sources and quoted designation meanings

      The Metals Service Center Institute identifies the first digit as “family of steel,” the second as “additional elements,” and the third and fourth as “nominal carbon content”; its example is 1018 at 0.18% carbon. Total Materia's SAE-AISI introduction gives the final two digits as “the carbon content in hundredths of a percent” and lists 41XX as “Chromium-molybdenum steels.”

      The International Molybdenum Association's 304/316 comparison states that “Type 316 contains a molybdenum addition” and explains the corrosion benefit. Hudson Tool Steel's A2 data sheet describes O1 as “oil-hardening,” A2 as “air-hardening,” and D2 as “high-carbon, high-chromium.” These are introductory meanings, not complete material specifications.

      Back to reference 115

    83. Materials and Manufacturing Processes/Metals/Nonferrous Metals

      Addendum 116. Source for the series table

      The Aluminum Association's aluminum-alloy overview identifies these series and their principal additions. It describes 1xxx as “aluminum 99 percent or higher purity.” The series names do not list every element in an individual alloy; for example, the Association also identifies magnesium and possible copper and chromium additions in 7xxx alloys.

      Back to reference 116

    84. Materials and Manufacturing Processes/Metals/Nonferrous Metals

      Addendum 117. Sources and comparison limits

      The Aluminum Association identifies 6061 use in truck and marine frames and 7075 use in aircraft. Metal Supermarkets' 6061/7075 comparison supports the T6 tensile-strength comparison, tank and tooling uses, machinability and welding differences. Its fabrication discussion notes that restoring the weld area's original temper in 6061 may require further heat treatment and aging. Compare the supplier's data for the actual temper and product form.

      Back to reference 117

    85. Materials and Manufacturing Processes/Metals/Heat Treating Metals

      Addendum 118. Steel microstructures are not the four steel families

      Ferrite and austenite are different iron-based crystal phases. Cementite is iron carbide, Fe₃C, a hard, brittle phase. Pearlite is a layered arrangement of ferrite and cementite. Martensite can form from austenite during sufficiently rapid cooling in suitable steel. These terms describe structure, not the buying categories carbon, alloy, stainless and tool steel.

      Carbon can diffuse during slower transformations. Quenching can suppress those transformations and produce martensite. The outcome is not determined by cooling speed alone: chemistry and section size affect what forms throughout the part.

      Back to reference 118

    86. Materials and Manufacturing Processes/Plastics/Cutting and Machining Plastics

      Addendum 120. Why a slower cut can produce more heat

      A tooth that advances too little spends more time sliding against the work. The next tooth may also recut trapped chips. Useful chips carry some heat away, so reducing chip thickness without reducing rubbing is not a reliable cooling strategy. ACRYLITE's drilling guidance identifies low feed or excessive RPM as causes of melted chips; its routing guidance treats feed, cutting edges and RPM together.

      Back to reference 120

    87. Materials and Manufacturing Processes/Plastics/Cutting and Machining Plastics

      Addendum 121. Manufacturer references and the limits of a material list

      Trotec's unsuitable-material guidance lists PVC and explains why composition matters. Boss Laser describes acrylic's cut behavior, PVC decomposition concerns and polycarbonate edge discoloration. Universal Laser Systems' polycarbonate processing guide discusses reducing char through a specialized cutting method. A material name on a capability list does not establish a suitable setup for a particular sheet.

      Back to reference 121

    88. Machining/Production and Nontraditional Processes/Electrical Discharge Machining

      Addendum 122. Why the fluid and the gap matter

      The dielectric fluid normally insulates the gap. A voltage pulse breaks down that insulation locally and permits a discharge. Between pulses, the fluid helps cool the region and flush debris. Debris removal and gap control help keep discharges stable. Sinker EDM commonly uses dielectric oil; wire EDM commonly uses controlled deionized water, though oil-based wire machines also exist.

      Back to reference 122

    89. Machining/Production and Nontraditional Processes/Electrical Discharge Machining

      Addendum 123. Why one offset does not describe every pass

      Discharge energy, flushing and finishing passes change the working gap and surface. Actual compensation comes from the machine's process data and inspection. CHMER's EDM FAQ defines the offset as the wire radius plus the discharge gap, and notes that the gap changes with discharge energy.

      Back to reference 123

    90. Machining/Production and Nontraditional Processes/Electrochemical Machining

      Addendum 125. Why hardness alone does not set ECM performance

      The reaction removes metal without requiring a harder cutting edge. Metal chemistry and current conditions still affect dissolution, so “all metals machine at the same rate” is not a valid selection rule. Tooling and electrolyte control can make ECM attractive for repeated parts, while adding development effort for a one-off feature.

      Further reading: EMAG's ECM overview and the Electrochemical Society's machining explanation.

      Back to reference 125