Spur gears, module 2: 10 to 80 teeth (20° involute)
What is the pitch diameter of a module 2 spur gear? · Hardware · basis: ISO 53 basic rack: 20° pressure angle, addendum m, dedendum 1.25 m; pitch Ø = m × teeth, tip Ø = m × (teeth + 2), root Ø = m × (teeth − 2.5)
Exact dimensions. True size, with no printing tolerance added.
- sizes
- 26 in table
Notes
- Centre distance of two module 2 gears = m × (N1 + N2) / 2. Face width 16 mm, plain bore (add a hub, key or set screw to suit). Teeth below 17 are drawn without profile shift, so they undercut as real unshifted gears do.
Sizes
| teeth | pitch_dia_mm | tip_dia_mm | root_dia_mm | face_mm | bore_mm |
|---|---|---|---|---|---|
| 10 | 20.0 | 24.0 | 15.0 | 16.0 | 5 |
| 12 | 24.0 | 28.0 | 19.0 | 16.0 | 7 |
| 14 | 28.0 | 32.0 | 23.0 | 16.0 | 8 |
| 15 | 30.0 | 34.0 | 25.0 | 16.0 | 9 |
| 16 | 32.0 | 36.0 | 27.0 | 16.0 | 9 |
| 18 | 36.0 | 40.0 | 31.0 | 16.0 | 11 |
| 20 | 40.0 | 44.0 | 35.0 | 16.0 | 12 |
| 22 | 44.0 | 48.0 | 39.0 | 16.0 | 14 |
| 24 | 48.0 | 52.0 | 43.0 | 16.0 | 15 |
| 25 | 50.0 | 54.0 | 45.0 | 16.0 | 16 |
| 28 | 56.0 | 60.0 | 51.0 | 16.0 | 18 |
| 30 | 60.0 | 64.0 | 55.0 | 16.0 | 19 |
| 32 | 64.0 | 68.0 | 59.0 | 16.0 | 21 |
| 35 | 70.0 | 74.0 | 65.0 | 16.0 | 23 |
| 36 | 72.0 | 76.0 | 67.0 | 16.0 | 23 |
| 40 | 80.0 | 84.0 | 75.0 | 16.0 | 25 |
| 42 | 84.0 | 88.0 | 79.0 | 16.0 | 25 |
| 45 | 90.0 | 94.0 | 85.0 | 16.0 | 25 |
| 48 | 96.0 | 100.0 | 91.0 | 16.0 | 25 |
| 50 | 100.0 | 104.0 | 95.0 | 16.0 | 25 |
| 56 | 112.0 | 116.0 | 107.0 | 16.0 | 25 |
| 60 | 120.0 | 124.0 | 115.0 | 16.0 | 25 |
| 64 | 128.0 | 132.0 | 123.0 | 16.0 | 25 |
| 70 | 140.0 | 144.0 | 135.0 | 16.0 | 25 |
| 72 | 144.0 | 148.0 | 139.0 | 16.0 | 25 |
| 80 | 160.0 | 164.0 | 155.0 | 16.0 | 25 |
Where the files are
Other publishers' files are linked, not hosted. "verify" = check the license at the link before commercial use.
| ISO | ISO 53 standard basic rack (20° pressure angle, addendum 1 m, dedendum 1.25 m) and ISO 54 modules | standard | ISO; dimensions are facts verify |
Free files
★ Free files 26 parts. Generated by Xem Studio from the standard; threads are plain cylinders at major diameter. CC BY 4.0. index.json
| gear-m2-10t | module 2, 10 teeth: pitch Ø20, tip Ø24, root Ø15, face 16, bore Ø5 | STEP · STL |
| gear-m2-12t | module 2, 12 teeth: pitch Ø24, tip Ø28, root Ø19, face 16, bore Ø7 | STEP · STL |
| gear-m2-14t | module 2, 14 teeth: pitch Ø28, tip Ø32, root Ø23, face 16, bore Ø8 | STEP · STL |
| gear-m2-15t | module 2, 15 teeth: pitch Ø30, tip Ø34, root Ø25, face 16, bore Ø9 | STEP · STL |
| gear-m2-16t | module 2, 16 teeth: pitch Ø32, tip Ø36, root Ø27, face 16, bore Ø9 | STEP · STL |
| gear-m2-18t | module 2, 18 teeth: pitch Ø36, tip Ø40, root Ø31, face 16, bore Ø11 | STEP · STL |
| gear-m2-20t | module 2, 20 teeth: pitch Ø40, tip Ø44, root Ø35, face 16, bore Ø12 | STEP · STL |
| gear-m2-22t | module 2, 22 teeth: pitch Ø44, tip Ø48, root Ø39, face 16, bore Ø14 | STEP · STL |
| gear-m2-24t | module 2, 24 teeth: pitch Ø48, tip Ø52, root Ø43, face 16, bore Ø15 | STEP · STL |
| gear-m2-25t | module 2, 25 teeth: pitch Ø50, tip Ø54, root Ø45, face 16, bore Ø16 | STEP · STL |
| gear-m2-28t | module 2, 28 teeth: pitch Ø56, tip Ø60, root Ø51, face 16, bore Ø18 | STEP · STL |
| gear-m2-30t | module 2, 30 teeth: pitch Ø60, tip Ø64, root Ø55, face 16, bore Ø19 | STEP · STL |
| gear-m2-32t | module 2, 32 teeth: pitch Ø64, tip Ø68, root Ø59, face 16, bore Ø21 | STEP · STL |
| gear-m2-35t | module 2, 35 teeth: pitch Ø70, tip Ø74, root Ø65, face 16, bore Ø23 | STEP · STL |
| gear-m2-36t | module 2, 36 teeth: pitch Ø72, tip Ø76, root Ø67, face 16, bore Ø23 | STEP · STL |
| gear-m2-40t | module 2, 40 teeth: pitch Ø80, tip Ø84, root Ø75, face 16, bore Ø25 | STEP · STL |
| gear-m2-42t | module 2, 42 teeth: pitch Ø84, tip Ø88, root Ø79, face 16, bore Ø25 | STEP · STL |
| gear-m2-45t | module 2, 45 teeth: pitch Ø90, tip Ø94, root Ø85, face 16, bore Ø25 | STEP · STL |
| gear-m2-48t | module 2, 48 teeth: pitch Ø96, tip Ø100, root Ø91, face 16, bore Ø25 | STEP · STL |
| gear-m2-50t | module 2, 50 teeth: pitch Ø100, tip Ø104, root Ø95, face 16, bore Ø25 | STEP · STL |
| gear-m2-56t | module 2, 56 teeth: pitch Ø112, tip Ø116, root Ø107, face 16, bore Ø25 | STEP · STL |
| gear-m2-60t | module 2, 60 teeth: pitch Ø120, tip Ø124, root Ø115, face 16, bore Ø25 | STEP · STL |
| gear-m2-64t | module 2, 64 teeth: pitch Ø128, tip Ø132, root Ø123, face 16, bore Ø25 | STEP · STL |
| gear-m2-70t | module 2, 70 teeth: pitch Ø140, tip Ø144, root Ø135, face 16, bore Ø25 | STEP · STL |
| gear-m2-72t | module 2, 72 teeth: pitch Ø144, tip Ø148, root Ø139, face 16, bore Ø25 | STEP · STL |
| gear-m2-80t | module 2, 80 teeth: pitch Ø160, tip Ø164, root Ø155, face 16, bore Ø25 | STEP · STL |
Let your AI pull this. Add
Set it up →https://xemstudio.com/mcp to Claude, ChatGPT, Cursor or any MCP client (free, no account, one minute) and it can look up exact sizes, mating fits and free STEP/STL from every chat.Plain text: sheet.txt · JSON: /api/geometry?object=spur-gears-module-2

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Questions
Pitch diameter of a module 2, 20-tooth gear?
40 mm; tip 44 mm.
Centre distance?
m × (N1 + N2) / 2: a 20 and a 40 tooth module 2 pair sit 60 mm apart.