Spur Gear Design Calculator | Gear Ratio, Teeth & Module Tool

Spur Gear Design Tool Formula:

Module (m):

\[ m = \frac{P_{d}}{N} \]

(where m = module, P_d = pitch diameter, N = number of teeth)

Pitch Diameter (P_d):

\[ P_{d} = m \times N \]

Outside Diameter (O_d):

\[ O_{d} = (N + 2) \times m \]

Addendum (a):

\[ a = m \]

Dedendum (d):

\[ d = 1.25 \times m \]

The Spur Gear Design Calculator is a software that enables engineers, students, and teachers to design spur gears to be used in the transmission of power in mechanical systems. Spur gears are mass-produced gearboxes, machinery, and robotics to provide motion and torque between parallel shafts in a cost-effective manner.

The desired module, number of teeth, gear ratio, or pitch circle diameter (PCD) may be typed in by the user. The calculator calculates the gear ratio, number of teeth on the pinion and gear, module, pitch circle diameter, and the center distance. Sequential step-by-step solutions demonstrate the formulas for calculating velocity ratio, module, and calculating PCD, and it is easy to know how the gears relate to one another and to optimise the gear design in terms of torque and speed.

SI units are not excluded: mm in diameters, module, and center distance. This is a tool that would be applicable to mechanical engineers, design engineers, students, and educators involved in the design of gears, speed reduction, or transferring torque through mechanical systems, to design them correctly and efficiently.