Xem Studiomeasured geometrySpur gears, module 0.5: 10 to 80 teeth (20° involute)
What is the pitch diameter of a module 0.5 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 0.5 gears = m × (N1 + N2) / 2. Face width 4 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 | 5.0 | 6.0 | 3.75 | 4.0 | 1.5 |
| 12 | 6.0 | 7.0 | 4.75 | 4.0 | 2.0 |
| 14 | 7.0 | 8.0 | 5.75 | 4.0 | 2.0 |
| 15 | 7.5 | 8.5 | 6.25 | 4.0 | 2.0 |
| 16 | 8.0 | 9.0 | 6.75 | 4.0 | 2.0 |
| 18 | 9.0 | 10.0 | 7.75 | 4.0 | 3 |
| 20 | 10.0 | 11.0 | 8.75 | 4.0 | 3 |
| 22 | 11.0 | 12.0 | 9.75 | 4.0 | 3 |
| 24 | 12.0 | 13.0 | 10.75 | 4.0 | 4 |
| 25 | 12.5 | 13.5 | 11.25 | 4.0 | 4 |
| 28 | 14.0 | 15.0 | 12.75 | 4.0 | 4 |
| 30 | 15.0 | 16.0 | 13.75 | 4.0 | 5 |
| 32 | 16.0 | 17.0 | 14.75 | 4.0 | 5 |
| 35 | 17.5 | 18.5 | 16.25 | 4.0 | 6 |
| 36 | 18.0 | 19.0 | 16.75 | 4.0 | 6 |
| 40 | 20.0 | 21.0 | 18.75 | 4.0 | 7 |
| 42 | 21.0 | 22.0 | 19.75 | 4.0 | 7 |
| 45 | 22.5 | 23.5 | 21.25 | 4.0 | 7 |
| 48 | 24.0 | 25.0 | 22.75 | 4.0 | 8 |
| 50 | 25.0 | 26.0 | 23.75 | 4.0 | 8 |
| 56 | 28.0 | 29.0 | 26.75 | 4.0 | 9 |
| 60 | 30.0 | 31.0 | 28.75 | 4.0 | 10 |
| 64 | 32.0 | 33.0 | 30.75 | 4.0 | 11 |
| 70 | 35.0 | 36.0 | 33.75 | 4.0 | 12 |
| 72 | 36.0 | 37.0 | 34.75 | 4.0 | 12 |
| 80 | 40.0 | 41.0 | 38.75 | 4.0 | 14 |
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-m0-5-10t | module 0.5, 10 teeth: pitch Ø5, tip Ø6, root Ø3.75, face 4, bore Ø1.5 | STEP · STL |
| gear-m0-5-12t | module 0.5, 12 teeth: pitch Ø6, tip Ø7, root Ø4.75, face 4, bore Ø2 | STEP · STL |
| gear-m0-5-14t | module 0.5, 14 teeth: pitch Ø7, tip Ø8, root Ø5.75, face 4, bore Ø2 | STEP · STL |
| gear-m0-5-15t | module 0.5, 15 teeth: pitch Ø7.5, tip Ø8.5, root Ø6.25, face 4, bore Ø2 | STEP · STL |
| gear-m0-5-16t | module 0.5, 16 teeth: pitch Ø8, tip Ø9, root Ø6.75, face 4, bore Ø2 | STEP · STL |
| gear-m0-5-18t | module 0.5, 18 teeth: pitch Ø9, tip Ø10, root Ø7.75, face 4, bore Ø3 | STEP · STL |
| gear-m0-5-20t | module 0.5, 20 teeth: pitch Ø10, tip Ø11, root Ø8.75, face 4, bore Ø3 | STEP · STL |
| gear-m0-5-22t | module 0.5, 22 teeth: pitch Ø11, tip Ø12, root Ø9.75, face 4, bore Ø3 | STEP · STL |
| gear-m0-5-24t | module 0.5, 24 teeth: pitch Ø12, tip Ø13, root Ø10.75, face 4, bore Ø4 | STEP · STL |
| gear-m0-5-25t | module 0.5, 25 teeth: pitch Ø12.5, tip Ø13.5, root Ø11.25, face 4, bore Ø4 | STEP · STL |
| gear-m0-5-28t | module 0.5, 28 teeth: pitch Ø14, tip Ø15, root Ø12.75, face 4, bore Ø4 | STEP · STL |
| gear-m0-5-30t | module 0.5, 30 teeth: pitch Ø15, tip Ø16, root Ø13.75, face 4, bore Ø5 | STEP · STL |
| gear-m0-5-32t | module 0.5, 32 teeth: pitch Ø16, tip Ø17, root Ø14.75, face 4, bore Ø5 | STEP · STL |
| gear-m0-5-35t | module 0.5, 35 teeth: pitch Ø17.5, tip Ø18.5, root Ø16.25, face 4, bore Ø6 | STEP · STL |
| gear-m0-5-36t | module 0.5, 36 teeth: pitch Ø18, tip Ø19, root Ø16.75, face 4, bore Ø6 | STEP · STL |
| gear-m0-5-40t | module 0.5, 40 teeth: pitch Ø20, tip Ø21, root Ø18.75, face 4, bore Ø7 | STEP · STL |
| gear-m0-5-42t | module 0.5, 42 teeth: pitch Ø21, tip Ø22, root Ø19.75, face 4, bore Ø7 | STEP · STL |
| gear-m0-5-45t | module 0.5, 45 teeth: pitch Ø22.5, tip Ø23.5, root Ø21.25, face 4, bore Ø7 | STEP · STL |
| gear-m0-5-48t | module 0.5, 48 teeth: pitch Ø24, tip Ø25, root Ø22.75, face 4, bore Ø8 | STEP · STL |
| gear-m0-5-50t | module 0.5, 50 teeth: pitch Ø25, tip Ø26, root Ø23.75, face 4, bore Ø8 | STEP · STL |
| gear-m0-5-56t | module 0.5, 56 teeth: pitch Ø28, tip Ø29, root Ø26.75, face 4, bore Ø9 | STEP · STL |
| gear-m0-5-60t | module 0.5, 60 teeth: pitch Ø30, tip Ø31, root Ø28.75, face 4, bore Ø10 | STEP · STL |
| gear-m0-5-64t | module 0.5, 64 teeth: pitch Ø32, tip Ø33, root Ø30.75, face 4, bore Ø11 | STEP · STL |
| gear-m0-5-70t | module 0.5, 70 teeth: pitch Ø35, tip Ø36, root Ø33.75, face 4, bore Ø12 | STEP · STL |
| gear-m0-5-72t | module 0.5, 72 teeth: pitch Ø36, tip Ø37, root Ø34.75, face 4, bore Ø12 | STEP · STL |
| gear-m0-5-80t | module 0.5, 80 teeth: pitch Ø40, tip Ø41, root Ø38.75, face 4, bore Ø14 | 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-0-5
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Questions
Pitch diameter of a module 0.5, 20-tooth gear?
10 mm; tip 11 mm.
Centre distance?
m × (N1 + N2) / 2: a 20 and a 40 tooth module 0.5 pair sit 15 mm apart.