Gear Tooth Generator

Compute the complete involute gear geometry — pitch diameter, addendum, dedendum, outside and base circles — from module or diametral pitch, and see a live drawing of the gear.

Gear Parameters

Gear Geometry Results

Pitch Diameter

—

D = N × module

Outside Diameter

—

addendum + pitch

Root Diameter

—

pitch − 2 × dedendum

Base Circle Diameter

—

D × cos(pressure angle)

Circular Pitch

—

π × module

Center Distance

—

requires meshing gear teeth

Formula Breakdown 

Waiting for input…

Gear Profile Drawing

Live involute tooth profile

Dashed inner circle: base circle. Dashed outer circle: pitch circle. Solid outline: standard full-depth involute teeth.

Informative Guides & Helper Articles

Common Errors in Gear Calculations

Module vs. diametral pitch mixups, wrong addendum constants, and pressure angle mismatches that ruin gear dimensions.

Read Article →

Future Trends in Gear Manufacturing

Additive printed gears, asymmetric tooth profiles, and simulation-driven macro geometry are reshaping how gears are made.

Read Article →

Guide to Involute Gear Geometry

Learn how pitch diameter, addendum, dedendum, base circle, and the involute curve define every gear tooth dimension.

Read Article →

How to Use the Gear Tooth Profile Generator

Generates involute gear tooth profiles from module, tooth count, and pressure angle - exportable for CAD.

  1. Enter module, tooth count, pressure angle (20 standard; 14.5 legacy).
  2. Accept standard addendum/dedendum (1m / 1.25m) or adjust.
  3. Export the profile SVG/DXF.

The Involute: Why Gears Mesh

PD = m x N | addendum = m, dedendum = 1.25m

Pitch diameter PD = m x N: a module-2, 40-tooth gear has PD = 80 mm and meshes with any module-2 gear regardless of tooth count. The involute profile is the trick: the flank unwraps from a base circle so contact rolls without sliding - constant velocity ratio, tolerant of small center-distance error. Pressure angle 20 is modern default (stronger than legacy 14.5); undercut appears below ~17 teeth on standard 20 and needs profile shift; backlash is engineered clearance, not sloppiness.

Gear Tooth Profile Generator FAQ

What is module?

Pitch diameter per tooth: PD = m x N. Module-2, 40 teeth = 80mm pitch circle. Matching modules mesh; counts can differ.

Why involute?

Rolls without sliding and keeps ratio constant despite small center error - the property behind interchangeable gears.

What causes undercut?

Below ~17 teeth at 20 degrees, cutter interference - fixed with profile shift or more teeth.

Deep-dive guides