TaskJunction

Bevel Gear Calculator

Bevel gear pitch cone angle, back cone radius, and mean pitch diameter.

Calculate bevel gear geometry — pitch cone angles, cone distance, and tangential forces for intersecting shafts.

Reference: AGMA Bevel Gear Geometry

Bevel Gear Calculator

Inputs

Results

Pinion Pitch Diameter
80.00mm
Gear Pitch Diameter
160.00mm
Gear Ratio
2.00
Pinion Pitch Cone Angle
26.57deg
Gear Pitch Cone Angle
63.43deg
Cone Distance
89.44mm
Torque
38.20N·m
Mean Tangential Force
1147.3N

Formula Used

γ = tan⁻¹[sin(Σ)/(mG+cos(Σ))], Ao = √[(dp/2)² + (dg/2)²]
Assumes straight bevel gears with standard 90° shaft angle unless changed. For spiral bevel gears, additional spiral angle correction is required.

⚠ 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 straight bevel gear geometry including pitch cone angles, back cone radius, mean pitch diameter, and module for right-angle and other shaft-angle drives.

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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