Bevel Gear Dimensions
Compute pitch cone angle γ, equivalent teeth Zv, cone distance A and tip diameter Da for straight bevel gears (shaft angle Σ, default 90°).
Inputs
Formula
tanγ1 = sinΣ / (Z2/Z1 + cosΣ); Zv1 = Z1/cosγ1; A = m√(Z1²+Z2²)/2; Da1 = mZ1 + 2m·cosγ1
How to use
- Fill in Pinion teeth Z₁, Gear teeth Z₂, Outer module m, Shaft angle Σ in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Pitch cone angle γ₁, Pitch cone angle γ₂, Equivalent teeth Zv₁, Cone distance A, Tip diameter Da₁ in the results area.
Formula notesBevel ratio i = z2 / z1 = sinδ2 / sinδ1; δ = pitch cone angle.