Bevel gears for shafts at an oblique angle (60°), 20 : 30 — dimension sheet
Source: Xem Studio, https://xemstudio.com/objects/oblique-bevel-gears-mechanism/  (sheet CC BY 4.0; files Xem Studio Design License, https://xemstudio.com/license/)
Basis: Xem Studio design following Brown No. 42 (1868)
Catalog version: 2026-10-20

Sizes: see table below
- Bevel gears work for any shaft angle Σ: each pitch cone angle follows from tan δ₁ = sin Σ / (N₂/N₁ + cos Σ), and δ₁ + δ₂ = Σ. The cones still share an apex where the shafts meet.
- Here Σ = 60° with 20 and 30 teeth: δ = 23.41° and 36.59°, cone distance 37.75 mm, ratio 1.5 : 1; spherical-involute teeth, drawn turned 5°.
- Brown's No. 42 (gears transmitting rotary motion between shafts set obliquely).
- Parts (each has its own page): bevel-gear-m1-5-20t-for-30t-60deg, bevel-gear-m1-5-30t-for-20t-60deg, linear-shafts-h6.
- Brown's movement No. 42 (1868) shows it; this model is a Xem Studio design following his figure, every part at true size.

parameter  value
module (large end)  1.5
teeth  20 / 30
shaft angle  60°
pitch cones  23.41° / 36.59°
ratio  1.5 : 1

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. 42: figure, his text and an animation — web — Publisher's page; dimensions are facts — https://507movements.com/mm_042.html

Free files (Xem Studio Design License, Xem Studio; STEP + STL, 1 parts): https://xemstudio.com/files/hardware/oblique-bevel-gears-mechanism/index.json
API: https://xemstudio.com/api/geometry?object=oblique-bevel-gears-mechanism