Spur gears, module 3: 10 to 80 teeth (20° involute)
What is the pitch diameter of a module 3 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 3 gears = m × (N1 + N2) / 2. Face width 24 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 | 30.0 | 36.0 | 22.5 | 24.0 | 8 |
| 12 | 36.0 | 42.0 | 28.5 | 24.0 | 10 |
| 14 | 42.0 | 48.0 | 34.5 | 24.0 | 12 |
| 15 | 45.0 | 51.0 | 37.5 | 24.0 | 13 |
| 16 | 48.0 | 54.0 | 40.5 | 24.0 | 14 |
| 18 | 54.0 | 60.0 | 46.5 | 24.0 | 16 |
| 20 | 60.0 | 66.0 | 52.5 | 24.0 | 18 |
| 22 | 66.0 | 72.0 | 58.5 | 24.0 | 20 |
| 24 | 72.0 | 78.0 | 64.5 | 24.0 | 23 |
| 25 | 75.0 | 81.0 | 67.5 | 24.0 | 24 |
| 28 | 84.0 | 90.0 | 76.5 | 24.0 | 25 |
| 30 | 90.0 | 96.0 | 82.5 | 24.0 | 25 |
| 32 | 96.0 | 102.0 | 88.5 | 24.0 | 25 |
| 35 | 105.0 | 111.0 | 97.5 | 24.0 | 25 |
| 36 | 108.0 | 114.0 | 100.5 | 24.0 | 25 |
| 40 | 120.0 | 126.0 | 112.5 | 24.0 | 25 |
| 42 | 126.0 | 132.0 | 118.5 | 24.0 | 25 |
| 45 | 135.0 | 141.0 | 127.5 | 24.0 | 25 |
| 48 | 144.0 | 150.0 | 136.5 | 24.0 | 25 |
| 50 | 150.0 | 156.0 | 142.5 | 24.0 | 25 |
| 56 | 168.0 | 174.0 | 160.5 | 24.0 | 25 |
| 60 | 180.0 | 186.0 | 172.5 | 24.0 | 25 |
| 64 | 192.0 | 198.0 | 184.5 | 24.0 | 25 |
| 70 | 210.0 | 216.0 | 202.5 | 24.0 | 25 |
| 72 | 216.0 | 222.0 | 208.5 | 24.0 | 25 |
| 80 | 240.0 | 246.0 | 232.5 | 24.0 | 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-m3-10t | module 3, 10 teeth: pitch Ø30, tip Ø36, root Ø22.5, face 24, bore Ø8 | STEP · STL |
| gear-m3-12t | module 3, 12 teeth: pitch Ø36, tip Ø42, root Ø28.5, face 24, bore Ø10 | STEP · STL |
| gear-m3-14t | module 3, 14 teeth: pitch Ø42, tip Ø48, root Ø34.5, face 24, bore Ø12 | STEP · STL |
| gear-m3-15t | module 3, 15 teeth: pitch Ø45, tip Ø51, root Ø37.5, face 24, bore Ø13 | STEP · STL |
| gear-m3-16t | module 3, 16 teeth: pitch Ø48, tip Ø54, root Ø40.5, face 24, bore Ø14 | STEP · STL |
| gear-m3-18t | module 3, 18 teeth: pitch Ø54, tip Ø60, root Ø46.5, face 24, bore Ø16 | STEP · STL |
| gear-m3-20t | module 3, 20 teeth: pitch Ø60, tip Ø66, root Ø52.5, face 24, bore Ø18 | STEP · STL |
| gear-m3-22t | module 3, 22 teeth: pitch Ø66, tip Ø72, root Ø58.5, face 24, bore Ø20 | STEP · STL |
| gear-m3-24t | module 3, 24 teeth: pitch Ø72, tip Ø78, root Ø64.5, face 24, bore Ø23 | STEP · STL |
| gear-m3-25t | module 3, 25 teeth: pitch Ø75, tip Ø81, root Ø67.5, face 24, bore Ø24 | STEP · STL |
| gear-m3-28t | module 3, 28 teeth: pitch Ø84, tip Ø90, root Ø76.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-30t | module 3, 30 teeth: pitch Ø90, tip Ø96, root Ø82.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-32t | module 3, 32 teeth: pitch Ø96, tip Ø102, root Ø88.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-35t | module 3, 35 teeth: pitch Ø105, tip Ø111, root Ø97.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-36t | module 3, 36 teeth: pitch Ø108, tip Ø114, root Ø100.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-40t | module 3, 40 teeth: pitch Ø120, tip Ø126, root Ø112.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-42t | module 3, 42 teeth: pitch Ø126, tip Ø132, root Ø118.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-45t | module 3, 45 teeth: pitch Ø135, tip Ø141, root Ø127.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-48t | module 3, 48 teeth: pitch Ø144, tip Ø150, root Ø136.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-50t | module 3, 50 teeth: pitch Ø150, tip Ø156, root Ø142.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-56t | module 3, 56 teeth: pitch Ø168, tip Ø174, root Ø160.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-60t | module 3, 60 teeth: pitch Ø180, tip Ø186, root Ø172.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-64t | module 3, 64 teeth: pitch Ø192, tip Ø198, root Ø184.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-70t | module 3, 70 teeth: pitch Ø210, tip Ø216, root Ø202.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-72t | module 3, 72 teeth: pitch Ø216, tip Ø222, root Ø208.5, face 24, bore Ø25 | STEP · STL |
| gear-m3-80t | module 3, 80 teeth: pitch Ø240, tip Ø246, root Ø232.5, face 24, 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-3

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Questions
Pitch diameter of a module 3, 20-tooth gear?
60 mm; tip 66 mm.
Centre distance?
m × (N1 + N2) / 2: a 20 and a 40 tooth module 3 pair sit 90 mm apart.