# Spur gears, module 1.5: 10 to 80 teeth (20° involute)

> What is the pitch diameter of a module 1.5 spur gear?

- Category: Hardware › Motion
- Kind: 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)
- Page: https://xemstudio.com/objects/spur-gears-module-1-5/ · JSON: https://xemstudio.com/api/geometry?object=spur-gears-module-1-5 · Plain text: https://xemstudio.com/objects/spur-gears-module-1-5/sheet.txt
- License: dimension sheet CC BY 4.0 (Xem Studio); linked files under their publishers' licenses
- Use in every chat: add https://xemstudio.com/mcp as a connector (https://xemstudio.com/use-with-ai/)

**Exact dimensions.** True size, with no printing tolerance added.

## Notes

- Centre distance of two module 1.5 gears = m × (N1 + N2) / 2. Face width 12 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 | 15.0 | 18.0 | 11.25 | 12.0 | 4 |
| 12 | 18.0 | 21.0 | 14.25 | 12.0 | 5 |
| 14 | 21.0 | 24.0 | 17.25 | 12.0 | 6 |
| 15 | 22.5 | 25.5 | 18.75 | 12.0 | 7 |
| 16 | 24.0 | 27.0 | 20.25 | 12.0 | 7 |
| 18 | 27.0 | 30.0 | 23.25 | 12.0 | 8 |
| 20 | 30.0 | 33.0 | 26.25 | 12.0 | 9 |
| 22 | 33.0 | 36.0 | 29.25 | 12.0 | 10 |
| 24 | 36.0 | 39.0 | 32.25 | 12.0 | 11 |
| 25 | 37.5 | 40.5 | 33.75 | 12.0 | 12 |
| 28 | 42.0 | 45.0 | 38.25 | 12.0 | 13 |
| 30 | 45.0 | 48.0 | 41.25 | 12.0 | 14 |
| 32 | 48.0 | 51.0 | 44.25 | 12.0 | 15 |
| 35 | 52.5 | 55.5 | 48.75 | 12.0 | 17 |
| 36 | 54.0 | 57.0 | 50.25 | 12.0 | 18 |
| 40 | 60.0 | 63.0 | 56.25 | 12.0 | 20 |
| 42 | 63.0 | 66.0 | 59.25 | 12.0 | 21 |
| 45 | 67.5 | 70.5 | 63.75 | 12.0 | 22 |
| 48 | 72.0 | 75.0 | 68.25 | 12.0 | 24 |
| 50 | 75.0 | 78.0 | 71.25 | 12.0 | 25 |
| 56 | 84.0 | 87.0 | 80.25 | 12.0 | 25 |
| 60 | 90.0 | 93.0 | 86.25 | 12.0 | 25 |
| 64 | 96.0 | 99.0 | 92.25 | 12.0 | 25 |
| 70 | 105.0 | 108.0 | 101.25 | 12.0 | 25 |
| 72 | 108.0 | 111.0 | 104.25 | 12.0 | 25 |
| 80 | 120.0 | 123.0 | 116.25 | 12.0 | 25 |

## Where the files are

- ISO: [ISO 53 standard basic rack (20° pressure angle, addendum 1 m, dedendum 1.25 m) and ISO 54 modules](https://www.iso.org/standard/5768.html) — standard — ISO; dimensions are facts (verify at link)

## Free STEP/STL (26 parts, CC BY 4.0, Xem Studio)

Index: https://xemstudio.com/files/hardware/spur-gears-module-1-5/index.json

- gear-m1-5-10t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-10t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-10t.stl) — module 1.5, 10 teeth: pitch Ø15, tip Ø18, root Ø11.25, face 12, bore Ø4
- gear-m1-5-12t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-12t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-12t.stl) — module 1.5, 12 teeth: pitch Ø18, tip Ø21, root Ø14.25, face 12, bore Ø5
- gear-m1-5-14t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-14t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-14t.stl) — module 1.5, 14 teeth: pitch Ø21, tip Ø24, root Ø17.25, face 12, bore Ø6
- gear-m1-5-15t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-15t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-15t.stl) — module 1.5, 15 teeth: pitch Ø22.5, tip Ø25.5, root Ø18.75, face 12, bore Ø7
- gear-m1-5-16t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-16t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-16t.stl) — module 1.5, 16 teeth: pitch Ø24, tip Ø27, root Ø20.25, face 12, bore Ø7
- gear-m1-5-18t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-18t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-18t.stl) — module 1.5, 18 teeth: pitch Ø27, tip Ø30, root Ø23.25, face 12, bore Ø8
- gear-m1-5-20t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-20t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-20t.stl) — module 1.5, 20 teeth: pitch Ø30, tip Ø33, root Ø26.25, face 12, bore Ø9
- gear-m1-5-22t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-22t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-22t.stl) — module 1.5, 22 teeth: pitch Ø33, tip Ø36, root Ø29.25, face 12, bore Ø10
- gear-m1-5-24t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-24t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-24t.stl) — module 1.5, 24 teeth: pitch Ø36, tip Ø39, root Ø32.25, face 12, bore Ø11
- gear-m1-5-25t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-25t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-25t.stl) — module 1.5, 25 teeth: pitch Ø37.5, tip Ø40.5, root Ø33.75, face 12, bore Ø12
- gear-m1-5-28t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-28t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-28t.stl) — module 1.5, 28 teeth: pitch Ø42, tip Ø45, root Ø38.25, face 12, bore Ø13
- gear-m1-5-30t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-30t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-30t.stl) — module 1.5, 30 teeth: pitch Ø45, tip Ø48, root Ø41.25, face 12, bore Ø14
- gear-m1-5-32t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-32t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-32t.stl) — module 1.5, 32 teeth: pitch Ø48, tip Ø51, root Ø44.25, face 12, bore Ø15
- gear-m1-5-35t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-35t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-35t.stl) — module 1.5, 35 teeth: pitch Ø52.5, tip Ø55.5, root Ø48.75, face 12, bore Ø17
- gear-m1-5-36t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-36t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-36t.stl) — module 1.5, 36 teeth: pitch Ø54, tip Ø57, root Ø50.25, face 12, bore Ø18
- gear-m1-5-40t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-40t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-40t.stl) — module 1.5, 40 teeth: pitch Ø60, tip Ø63, root Ø56.25, face 12, bore Ø20
- gear-m1-5-42t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-42t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-42t.stl) — module 1.5, 42 teeth: pitch Ø63, tip Ø66, root Ø59.25, face 12, bore Ø21
- gear-m1-5-45t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-45t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-45t.stl) — module 1.5, 45 teeth: pitch Ø67.5, tip Ø70.5, root Ø63.75, face 12, bore Ø22
- gear-m1-5-48t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-48t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-48t.stl) — module 1.5, 48 teeth: pitch Ø72, tip Ø75, root Ø68.25, face 12, bore Ø24
- gear-m1-5-50t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-50t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-50t.stl) — module 1.5, 50 teeth: pitch Ø75, tip Ø78, root Ø71.25, face 12, bore Ø25
- gear-m1-5-56t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-56t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-56t.stl) — module 1.5, 56 teeth: pitch Ø84, tip Ø87, root Ø80.25, face 12, bore Ø25
- gear-m1-5-60t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-60t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-60t.stl) — module 1.5, 60 teeth: pitch Ø90, tip Ø93, root Ø86.25, face 12, bore Ø25
- gear-m1-5-64t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-64t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-64t.stl) — module 1.5, 64 teeth: pitch Ø96, tip Ø99, root Ø92.25, face 12, bore Ø25
- gear-m1-5-70t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-70t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-70t.stl) — module 1.5, 70 teeth: pitch Ø105, tip Ø108, root Ø101.25, face 12, bore Ø25
- gear-m1-5-72t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-72t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-72t.stl) — module 1.5, 72 teeth: pitch Ø108, tip Ø111, root Ø104.25, face 12, bore Ø25
- gear-m1-5-80t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-80t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-80t.stl) — module 1.5, 80 teeth: pitch Ø120, tip Ø123, root Ø116.25, face 12, bore Ø25

## Questions

**Pitch diameter of a module 1.5, 20-tooth gear?**

30 mm; tip 33 mm.

**Centre distance?**

m × (N1 + N2) / 2: a 20 and a 40 tooth module 1.5 pair sit 45 mm apart.

## Fits with

- [Spur gears, module 0.5: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-0-5/)
- [Spur gears, module 0.8: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-0-8/)
- [Spur gears, module 1: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-1/)
- [Spur gears, module 1.25: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-1-25/)
- [Spur gears, module 2: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-2/)
- [Spur gears, involute 20°: module 0.5, 1 and 2, 12–60 teeth](https://xemstudio.com/objects/spur-gears-involute/)