Gear Calculator

Calculate essential gear parameters including pitch diameter, addendum, dedendum, tooth thickness, and contact ratio with this comprehensive online gear calculator.

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About This Tool

This advanced gear calculator helps engineers, designers, and students compute all critical gear parameters based on standard gear formulas. Input basic gear specifications like module, number of teeth, pressure angle, and face width to calculate pitch diameter, addendum, dedendum, whole depth, clearance, tooth thickness, circular pitch, base pitch, contact ratio, center distance, tip diameter, and root diameter. The tool provides accurate calculations for spur and helical gears, with support for metric and imperial units. Perfect for gear design, verification, and educational purposes.

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How to Use

Enter the gear module (or diametral pitch for imperial units)
Specify the number of teeth for both gears
Set the pressure angle (typically 20° or
5°)
Input face width and helix angle (0° for spur gears)
Adjust addendum and dedendum coefficients if needed (default values provided)
Click 'Calculate Gear Parameters' to compute all values
View results in the detailed output table below

Frequently Asked Questions

Find Quick Answers

What is gear module and how do I determine it?

Gear module is a metric unit representing the size of gear teeth, calculated as pitch diameter divided by number of teeth. Common modules range from 0.5 to 10 mm. For imperial units, use diametral pitch (number of teeth per inch of pitch diameter).

What is the difference between spur and helical gears in calculations?

Spur gears have straight teeth (0° helix angle) while helical gears have angled teeth. The calculator accounts for helix angle in formulas for normal/tangential module, axial pitch, and contact ratio. Set helix angle to 0° for spur gear calculations.

What are typical values for addendum and dedendum coefficients?

Standard full-depth gears typically use addendum coefficient = 1.0 and dedendum coefficient = 1.25. These values ensure proper clearance between meshing gears. You can adjust these for specialized gear designs.

How accurate are the calculations?

The calculator uses standard AGMA (American Gear Manufacturers Association) gear formulas for metric and imperial systems. Results are accurate for standard gear designs but should be verified for critical applications.

Can I calculate parameters for two meshing gears?

Yes, input the number of teeth for both gear 1 and gear 2. The calculator will compute individual gear parameters plus meshing properties like center distance and contact ratio.

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