Spur gears, module 1: 10 to 80 teeth (20° involute)
What is the pitch diameter of a module 1 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 1 gears = m × (N1 + N2) / 2. Face width 8 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 | 10.0 | 12.0 | 7.5 | 8.0 | 3 |
| 12 | 12.0 | 14.0 | 9.5 | 8.0 | 3 |
| 14 | 14.0 | 16.0 | 11.5 | 8.0 | 4 |
| 15 | 15.0 | 17.0 | 12.5 | 8.0 | 4 |
| 16 | 16.0 | 18.0 | 13.5 | 8.0 | 5 |
| 18 | 18.0 | 20.0 | 15.5 | 8.0 | 5 |
| 20 | 20.0 | 22.0 | 17.5 | 8.0 | 6 |
| 22 | 22.0 | 24.0 | 19.5 | 8.0 | 7 |
| 24 | 24.0 | 26.0 | 21.5 | 8.0 | 8 |
| 25 | 25.0 | 27.0 | 22.5 | 8.0 | 8 |
| 28 | 28.0 | 30.0 | 25.5 | 8.0 | 9 |
| 30 | 30.0 | 32.0 | 27.5 | 8.0 | 10 |
| 32 | 32.0 | 34.0 | 29.5 | 8.0 | 10 |
| 35 | 35.0 | 37.0 | 32.5 | 8.0 | 11 |
| 36 | 36.0 | 38.0 | 33.5 | 8.0 | 12 |
| 40 | 40.0 | 42.0 | 37.5 | 8.0 | 13 |
| 42 | 42.0 | 44.0 | 39.5 | 8.0 | 14 |
| 45 | 45.0 | 47.0 | 42.5 | 8.0 | 15 |
| 48 | 48.0 | 50.0 | 45.5 | 8.0 | 16 |
| 50 | 50.0 | 52.0 | 47.5 | 8.0 | 17 |
| 56 | 56.0 | 58.0 | 53.5 | 8.0 | 19 |
| 60 | 60.0 | 62.0 | 57.5 | 8.0 | 20 |
| 64 | 64.0 | 66.0 | 61.5 | 8.0 | 22 |
| 70 | 70.0 | 72.0 | 67.5 | 8.0 | 24 |
| 72 | 72.0 | 74.0 | 69.5 | 8.0 | 24 |
| 80 | 80.0 | 82.0 | 77.5 | 8.0 | 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-m1-10t | module 1, 10 teeth: pitch Ø10, tip Ø12, root Ø7.5, face 8, bore Ø3 | STEP · STL |
| gear-m1-12t | module 1, 12 teeth: pitch Ø12, tip Ø14, root Ø9.5, face 8, bore Ø3 | STEP · STL |
| gear-m1-14t | module 1, 14 teeth: pitch Ø14, tip Ø16, root Ø11.5, face 8, bore Ø4 | STEP · STL |
| gear-m1-15t | module 1, 15 teeth: pitch Ø15, tip Ø17, root Ø12.5, face 8, bore Ø4 | STEP · STL |
| gear-m1-16t | module 1, 16 teeth: pitch Ø16, tip Ø18, root Ø13.5, face 8, bore Ø5 | STEP · STL |
| gear-m1-18t | module 1, 18 teeth: pitch Ø18, tip Ø20, root Ø15.5, face 8, bore Ø5 | STEP · STL |
| gear-m1-20t | module 1, 20 teeth: pitch Ø20, tip Ø22, root Ø17.5, face 8, bore Ø6 | STEP · STL |
| gear-m1-22t | module 1, 22 teeth: pitch Ø22, tip Ø24, root Ø19.5, face 8, bore Ø7 | STEP · STL |
| gear-m1-24t | module 1, 24 teeth: pitch Ø24, tip Ø26, root Ø21.5, face 8, bore Ø8 | STEP · STL |
| gear-m1-25t | module 1, 25 teeth: pitch Ø25, tip Ø27, root Ø22.5, face 8, bore Ø8 | STEP · STL |
| gear-m1-28t | module 1, 28 teeth: pitch Ø28, tip Ø30, root Ø25.5, face 8, bore Ø9 | STEP · STL |
| gear-m1-30t | module 1, 30 teeth: pitch Ø30, tip Ø32, root Ø27.5, face 8, bore Ø10 | STEP · STL |
| gear-m1-32t | module 1, 32 teeth: pitch Ø32, tip Ø34, root Ø29.5, face 8, bore Ø10 | STEP · STL |
| gear-m1-35t | module 1, 35 teeth: pitch Ø35, tip Ø37, root Ø32.5, face 8, bore Ø11 | STEP · STL |
| gear-m1-36t | module 1, 36 teeth: pitch Ø36, tip Ø38, root Ø33.5, face 8, bore Ø12 | STEP · STL |
| gear-m1-40t | module 1, 40 teeth: pitch Ø40, tip Ø42, root Ø37.5, face 8, bore Ø13 | STEP · STL |
| gear-m1-42t | module 1, 42 teeth: pitch Ø42, tip Ø44, root Ø39.5, face 8, bore Ø14 | STEP · STL |
| gear-m1-45t | module 1, 45 teeth: pitch Ø45, tip Ø47, root Ø42.5, face 8, bore Ø15 | STEP · STL |
| gear-m1-48t | module 1, 48 teeth: pitch Ø48, tip Ø50, root Ø45.5, face 8, bore Ø16 | STEP · STL |
| gear-m1-50t | module 1, 50 teeth: pitch Ø50, tip Ø52, root Ø47.5, face 8, bore Ø17 | STEP · STL |
| gear-m1-56t | module 1, 56 teeth: pitch Ø56, tip Ø58, root Ø53.5, face 8, bore Ø19 | STEP · STL |
| gear-m1-60t | module 1, 60 teeth: pitch Ø60, tip Ø62, root Ø57.5, face 8, bore Ø20 | STEP · STL |
| gear-m1-64t | module 1, 64 teeth: pitch Ø64, tip Ø66, root Ø61.5, face 8, bore Ø22 | STEP · STL |
| gear-m1-70t | module 1, 70 teeth: pitch Ø70, tip Ø72, root Ø67.5, face 8, bore Ø24 | STEP · STL |
| gear-m1-72t | module 1, 72 teeth: pitch Ø72, tip Ø74, root Ø69.5, face 8, bore Ø24 | STEP · STL |
| gear-m1-80t | module 1, 80 teeth: pitch Ø80, tip Ø82, root Ø77.5, face 8, 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-1

Fits with
Free
Spur gears, module 0.5: 10 to 80 teeth (20° involute)26 sizes★ 26 filesFree
Spur gears, module 0.8: 10 to 80 teeth (20° involute)26 sizes★ 26 filesFree
Spur gears, module 1.25: 10 to 80 teeth (20° involute)26 sizes★ 26 filesFree
Spur gears, module 1.5: 10 to 80 teeth (20° involute)26 sizes★ 26 filesFree
Spur gears, module 2: 10 to 80 teeth (20° involute)26 sizes★ 26 filesFree
Spur gears, involute 20°: module 0.5, 1 and 2, 12–60 teeth21 sizes★ 21 files






Questions
Pitch diameter of a module 1, 20-tooth gear?
20 mm; tip 22 mm.
Centre distance?
m × (N1 + N2) / 2: a 20 and a 40 tooth module 1 pair sit 30 mm apart.