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Helical Gear Design Calculator

Helical gear geometry with helix angle — normal and transverse plane properties.

Calculate helical gear geometry, force components (tangential, axial, radial), and bending stress.

Reference: AGMA / Lewis Equation (helical correction)

Helical Gear Design Calculator

Inputs

Results

Transverse Module
3.11mm
Pitch Circle Diameter
93.17mm
Equivalent (Virtual) Teeth
33.3
Torque
39.79N·m
Tangential Force
854.1N
Axial (Thrust) Force
228.8N
Radial Force
321.8N
Pitch Line Velocity
5.85m/s
Bending Stress
49.3MPa
Factor of Safety
2.84

Formula Used

mt = mn/cos(ψ), Fa = Ft·tan(ψ), Fr = Ft·tan(φ)/cos(ψ)
Helical gears produce axial thrust — ensure bearing selection accounts for this. Equivalent teeth used to look up Lewis form factor for the virtual spur gear.

⚠ 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

Computes helical gear normal and transverse module, pitch diameters, center distance, and axial pitch including helix angle effects on contact and stress.

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.

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