Spur gear calculator
Module + teeth + torque → mesh geometry + tooth bending stress (Lewis).
How to use
- Enter the calculation conditions
Enter the dimensions, loads, speeds or operating conditions requested by the form.
- Run the calculation
The tool applies the formulas shown on this page to the entered values.
- Review the result
Review the resulting specification and checks, then verify them against the cited source, current standard and real operating conditions before use.
Core formula
d = m · z; a = m · (z₁ + z₂) / 2; i = z₂/z₁
Example using default values
d₁ = 2 · 20; d₂ = 2 · 40; a = 2 · (20 + 40) / 2 → d₁ = 40 mm; d₂ = 80 mm; a = 60 mm; i = 2
Source: Shigley Mechanical Engineering Design / JIS B 1701.
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