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Bevel pinion, module 1.5, 20 teeth (for a 40-tooth wheel at 90°), spherical involute

What are the dimensions of a module 1.5, 20-tooth bevel gear? · Modern device · basis: Xem Studio design following Brown's figure (1868); true size, no printing allowance

Also called: bevel gear, bevel pinion, module 1.5 bevel gear, spherical involute bevel gear, engranaje cónico, Kegelrad

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

length
32.65 mm
width
32.65 mm
height
22.02 mm

Notes

  • Straight bevel gear, module 1.5 at the large end, 20 teeth, for a 40-tooth mate at 90° shaft angle: pitch cone angle 26.57°, cone distance 33.54 mm, pitch Ø30, face width 11.2 mm, Ø6 bore, Ø17.37 hub.
  • Teeth are exact spherical involutes (base cone sin γb = sin δ · cos 20°), converging to the pitch apex: each flank is a cone from the apex over the spherical involute, so two such gears roll with line contact at every position; ends are spheres centred on the apex (radii A0 and A0 − F). Addendum m, dedendum 1.25 m at the large end.
  • Xem Studio design following Brown's figure; true size, no printing allowance (apply your own to the mating features).

Bevel pinion, module 1.5, 20 teeth (for a 40-tooth wheel at 90°)… size chart

dimensionvalue
module (large end)1.5
teeth20 (mate 40)
shaft angle90°
pitch cone26.57°
cone distance A033.54 mm
face width11.2 mm
pitch Ø30 mm
tip Ø32.65 mm
boreØ6
apex to back of hub41.54 mm

Where the files are

Other publishers' files are linked, not hosted. "verify" = check the license at the link before commercial use.

Henry T. Brown (1868, public domain)Five Hundred and Seven Mechanical Movements — scan on archive.orgwebPublisher's page; dimensions are facts
507movements.comBrown's movement No. 25: figure, his text and an animationwebPublisher's page; dimensions are facts
Xem StudiodrawingwebPublisher's page; dimensions are facts

Free files

★ Free files 1 parts. Xem Studio design: free to use, print and sell things from; not to be republished as files. Xem Studio Design License. index.json

bevel-gear-m1-5-20t-for-40t-90deggear, pitch apex at the origin, axis +Z, a tooth on +XSTEP · STL
Let your AI pull this. Add 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.
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Plain text: sheet.txt · JSON: /api/geometry?object=bevel-gear-m1-5-20t-for-40t-90deg

Bevel pinion, module 1.5, 20 teeth (for a 40-tooth wheel at 90°), spherical involute, isometric render of a generated part
Render of bevel-gear-m1-5-20t-for-40t-90deg from the free STEP; not to scale.

Fits with

Bevel gears, module 1.5, 20 : 40, shafts at 90°, isometric render of a generated part
Bevel gears, module 1.5, 20 : 40, shafts at 90°6 sizes★ 1 file

Questions

What are the dimensions of a module 1.5, 20-tooth bevel gear?

Straight bevel gear, module 1.5 at the large end, 20 teeth, for a 40-tooth mate at 90° shaft angle: pitch cone angle 26.57°, cone distance 33.54 mm, pitch Ø30, face width 11.2 mm, Ø6 bore, Ø17.37 hub.