Bevel Gear Calculator

Inputs

View results
Tooth count on the driving bevel pinion.
Tooth count on the driven bevel gear.
Transverse module at the large end of the gear.
mm
Included angle between the intersecting shafts. Most miter/bevel pairs use 90 degrees.
°
Pinion input speed.
rpm
Pinion input torque.
N·m
Torque multiplier efficiency allowance.
%

Results

Default result
Edit inputs
Gear ratio (i)
2
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) 44.72 mm

Max face width guide (b_max) 14.91 mm

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

Pinion pitch diameter (d1) 40 mm

Gear pitch diameter (d2) 80 mm

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.

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