Calculate spur gear geometry and check bending stress using the Lewis equation with velocity factor.
Reference: AGMA / Lewis Equation (20° full-depth involute)Spur Gear Design Calculator
Inputs
Results
- Pitch Circle Diameter
- 96.00mm
- Addendum Diameter
- 104.00mm
- Dedendum Diameter
- 86.00mm
- Circular Pitch
- 12.57mm
- Torque
- 47.75N·m
- Tangential Force
- 994.7N
- Pitch Line Velocity
- 5.03m/s
- Lewis Form Factor (Y)
- 0.302
- Induced Bending Stress
- 55.1MPa
- Factor of Safety
- 2.54
Formula Used
⚠ For preliminary design and educational use only. Verify all results against applicable codes and standards before use in production or safety-critical applications.
About this calculator
Part of our Mechanical Calculators collection. Beams, bolts, springs, gears, bearings, and core ME calculations.
How it works
Calculates spur gear geometry (pitch diameter, center distance, addendum, dedendum, contact ratio) and estimates bending and contact stress per AGMA 2001 simplified method.
Enter your values in the inputs above and click CALCULATE. Results appear on the right without a page reload. No login and no server upload.
Privacy and accuracy
Every calculation runs locally in your browser. Your design data never leaves your device. Results are intended for preliminary engineering work. Always verify critical designs with qualified review and applicable standards before production use.
Related tools
Gear Ratio Calculator
Gear ratio, output RPM, and output torque for a two-gear drive with optional efficiency.
Open calculator →Helical Gear Design Calculator
Helical gear geometry with helix angle — normal and transverse plane properties.
Open calculator →Gear Train Calculator
Multi-stage gear train overall ratio, output speed, and output torque.
Open calculator →