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Mitre (bevel) gear, module 2, 20 teeth, Ø5 bore, spherical involute

What are the dimensions of a module 2, 20-tooth bevel gear (mitre)? · Modern device · basis: Xem Studio design following Brown's figure (1868); true size, no printing allowance

Also called: bevel gear, mitre gear, module 2 bevel gear, spherical involute bevel gear, engranaje cónico (de inglete), Kegelrad

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

length
42.72 mm
width
42.72 mm
height
23.91 mm

Notes

  • Straight bevel gear, module 2 at the large end, 20 teeth, for a 20-tooth mate at 90° shaft angle: pitch cone angle 45°, cone distance 28.28 mm, pitch Ø40, face width 9.4 mm, Ø5 bore, Ø28.47 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).

Mitre (bevel) gear, module 2, 20 teeth, Ø5 bore, spherical involute size chart

dimensionvalue
module (large end)2
teeth20 (mate 20)
shaft angle90°
pitch cone45°
cone distance A028.28 mm
face width9.4 mm
pitch Ø40 mm
tip Ø42.72 mm
boreØ5
apex to back of hub36.28 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

mitre-gear-m2-20t-bore5gear, 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=mitre-gear-m2-20t-bore5

Mitre (bevel) gear, module 2, 20 teeth, Ø5 bore, spherical involute, isometric render of a generated part
Render of mitre-gear-m2-20t-bore5 from the free STEP; not to scale.

Fits with

Mutilated bevel gear driving two bevel gears alternately, opposite ways, isometric render of a generated part
Mutilated bevel gear driving two bevel gears alternately, opposite ways3 sizes★ 1 file

Questions

What are the dimensions of a module 2, 20-tooth bevel gear (mitre)?

Straight bevel gear, module 2 at the large end, 20 teeth, for a 20-tooth mate at 90° shaft angle: pitch cone angle 45°, cone distance 28.28 mm, pitch Ø40, face width 9.4 mm, Ø5 bore, Ø28.47 hub.