KEVOS® MAKEOS · Threads

Change Gears for Thread Cutting

Which change gears cut this thread lead on this lathe?

Best simple and compound change-gear trains from a standard gear set to cut a required metric or inch lead with a given leadscrew, with the resulting lead error.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Thread to cut is given aschoiceWhether the thread is metric (pitch) or inch (TPI).
Thread to cutmm or TPIPitch in millimetres or threads per inch of the thread to cut.
Leadscrew is given aschoiceLeadscrew specification.
Leadscrewmm or TPILeadscrew pitch or threads per inch, from the lathe plate or manual.
Fixed ratio in the headstock (spindle to stud):1Any fixed reduction between the spindle and the first change-gear stud (1 if none).
Gear setchoiceThe change gears available; check your actual set (one of each size assumed).

Method and formulas

  1. Required ratio (driver ÷ driven product) = lead to cut ÷ (leadscrew lead × fixed ratio), all leads in mm.
  2. Simple train A ÷ B; compound train (A ÷ B) × (C ÷ D), each gear used once.
  3. Error = (train ratio ÷ required − 1) × 100%; 25.4 mm = 127 ÷ 5 × 1 mm makes 127-tooth gears exact for metric–inch conversions.
  4. Example: 1.5 mm pitch on an 8 TPI leadscrew: drivers 20 and 75, driven 25 and 127 (error 0%).

Limitations

  • Gear meshing and clearance on the banjo are not checked; some compound trains may not fit your lathe.
  • One of each gear size is assumed.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Set up a manual lathe for a non-standard pitch
  • Cut metric threads with an inch leadscrew (or the reverse)
  • Check the error of an approximate gear train

Who it is for

  • Machinists
  • Toolmakers

What you get

  • Required gear ratio
  • Best two-gear train and its error
  • Best four-gear compound train and its error

Interpreting the result

  • For an approximate train, multiply the error by the thread length to see the accumulated lead error.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2043–2049. Topic reference; no source tables or recommended settings are reproduced.

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Open the Change Gears for Thread Cutting calculator