Bevel Gear Calculator

Inputs

Pinion teeth (z1)

Tooth count on the driving bevel pinion.

Gear teeth (z2)

Tooth count on the driven bevel gear.

Module (m)

Transverse module at the large end of the gear.

Shaft angle (Sigma)

Included angle between the intersecting shafts. Most miter/bevel pairs use 90 degrees.

Input speed (n1)

Pinion input speed.

rpm

Input torque (T1)

Pinion input torque.

N·m

Efficiency (eta)

Torque multiplier efficiency allowance.

Default result

Gear ratio(i)

Pass

Output speed is input speed divided by this ratio; output torque is multiplied by ratio and efficiency.

Driven teeth / pinion teeth.

Also computed

Pinion pitch angle(delta1)26.57°

Gear pitch angle(delta2)63.43°

Cone distance(R)44.72mm

Max face width guide(b_max)14.91mm

Conservative guide: min(R/3, 10m).

Pinion pitch diameter(d1)40mm

Gear pitch diameter(d2)80mm

Method notes 2 notes

For intersecting shafts, pitch cone angles come from delta1 = atan(sin(Sigma)/(z2/z1 + cos(Sigma))). For 90 degree shafts this simplifies to delta1 = atan(z1/z2).
This is straight bevel geometry only. It does not rate tooth bending/contact stress, mounting stiffness, backlash, spiral bevel offset, Gleason geometry, lubrication or bearing loads.