Mitre (bevel) gear, module 2, 24 teeth, Ø5 bore, spherical involute (spline flanks) — dimension sheet
Source: Xem Studio, https://xemstudio.com/objects/mitre-gear-m2-24t-bore5/  (sheet CC BY 4.0; files Xem Studio Design License, https://xemstudio.com/license/)
Basis: Xem Studio design following Brown's figure (1868); true size, no printing allowance
Catalog version: 2026-10-20

Overall (mm): length 50.74, width 50.74, height 26.9
- 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).

dimension  value
module (large end)  2
teeth  24
shaft angle  90° (mate: same gear)
pitch cone  45°
cone distance A0  33.94 mm
face width  11.3 mm
pitch Ø  48 mm
tip Ø  50.74 mm
bore  Ø5
apex to back of hub  41.94 mm

Files elsewhere (not hosted by Xem Studio; license as stated by the publisher):
- Henry T. Brown (1868, public domain): Five Hundred and Seven Mechanical Movements — scan on archive.org — web — Publisher's page; dimensions are facts — https://archive.org/details/fivehundredseven00browiala
- 507movements.com: Brown's movement No. 7: figure, his text and an animation — web — Publisher's page; dimensions are facts — https://507movements.com/mm_007.html
- Xem Studio: drawing — web — Publisher's page; dimensions are facts — https://xemstudio.com/objects/bevel-reversing-gear-fast-loose-pulleys-mechanism/

Free files (Xem Studio Design License, Xem Studio; STEP + STL, 1 parts): https://xemstudio.com/files/hardware/mitre-gear-m2-24t-bore5/index.json
API: https://xemstudio.com/api/geometry?object=mitre-gear-m2-24t-bore5