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Mitre (bevel) gear, module 2, 24 teeth, Ø5 bore, spherical involute (spline flanks)

What are the dimensions of a module 2, 24-tooth mitre gear? · Modern device · basis: Xem Studio design following Brown's figure (1868); true size, no printing allowance

Also called: mitre gear, miter gear, bevel gear, spherical involute bevel gear, module 2 mitre gear, engranaje cónico de inglete, Kegelrad (Tellerrad 1:1)

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

length
50.74 mm
width
50.74 mm
height
26.9 mm

Notes

  • Straight bevel gear for a 90° shaft angle with an equal mate (a mitre gear): module 2 at the large end, 24 teeth, pitch cone angle 45°, cone distance 33.94 mm, pitch Ø48, tip Ø50.74, face width 11.3 mm, Ø5 bore, Ø35.16 hub, 41.94 mm from the apex to the back of the hub.
  • Teeth are exact spherical involutes (base cone sin γb = sin δ · cos 20°), converging to the pitch apex: each flank is one ruled face — a cone from the apex over the spherical involute — so two such gears roll with line contact at every position; ends are spheres about the apex (radii A0 and A0 − F). Addendum m, dedendum 1.25 m at the large end. Drawn with one spline per flank instead of a facetted polyline, so three of them fit an assembly STEP under 20 MB.
  • Xem Studio design following Brown's figure; true size, no printing allowance (apply your own to the mating features).

Mitre (bevel) gear, module 2, 24 teeth, Ø5 bore, spherical involute size chart

dimensionvalue
module (large end)2
teeth24
shaft angle90° (mate: same gear)
pitch cone45°
cone distance A033.94 mm
face width11.3 mm
pitch Ø48 mm
tip Ø50.74 mm
boreØ5
apex to back of hub41.94 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. 7: 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-m2-24t-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.
Set it up →

Plain text: sheet.txt · JSON: /api/geometry?object=mitre-gear-m2-24t-bore5

Mitre (bevel) gear, module 2, 24 teeth, Ø5 bore, spherical involute (spline flanks), isometric render of a generated part
Render of mitre-gear-m2-24t-bore5 from the free STEP; not to scale.

Fits with

Fast and loose pulleys with bevel gears: start, stop or reverse an upright shaft, isometric render of a generated part
Fast and loose pulleys with bevel gears: start, stop or reverse an upright shaft4 sizes★ 1 file
Rocking shaft driving an upright shaft continuously through two opposed ratchets and bevel gears, isometric render of a generated part
Rocking shaft driving an upright shaft continuously through two opposed ratchets and bevel gears4 sizes★ 1 file

Questions

What are the dimensions of a module 2, 24-tooth mitre gear?

Straight bevel gear for a 90° shaft angle with an equal mate (a mitre gear): module 2 at the large end, 24 teeth, pitch cone angle 45°, cone distance 33.94 mm, pitch Ø48, tip Ø50.74, face width 11.3 mm, Ø5 bore, Ø35.16 hub, 41.94 mm from the apex to the back of the hub.