Spur Gear Calculator

Enter the module and the number of teeth to get the sizes of a spur gear pair: pitch, tip and root diameters, centre distance and contact ratio. Add profile shift to change the centre distance or avoid undercut, and a torque to see the tooth forces.

Gear pair

Leave profile shift at 0 for standard gears. A positive shift makes the teeth thicker at the root and moves the gears apart.

Load (optional)

Results

Gear ratio
Centre distance
Working pressure angle
Contact ratio
Circular pitch
Whole depth of tooth

Sizes of each gear, mm

SizePinionGear

Sizes are for involute spur gears with a standard full-depth rack (addendum 1 m, dedendum 1.25 m). Tip diameters keep the standard 0.25 m root clearance when the gears are profile shifted. Gear tooth strength is not checked here.