Gear External Diameter Calculator

Calculate the external diameter of a gear based on its pitch diameter and tooth count

Input Parameters

Calculation Results

Calculation Formula

External Diameter = Pitch Diameter × (Number of Teeth ÷ Pitch Diameter + 2)

Where:
- External Diameter: The outer radius of the gear
- Pitch Diameter: The diameter at which the teeth mesh
- Number of Teeth: The total number of teeth on the gear

Calculation Details

Gear External Diameter Calculator Usage Guide

Learn how to use the Gear External Diameter Calculator and understand gear geometry principles

How to Use This Calculator

  1. Enter the pitch diameter of your gear (the diameter at which the teeth mesh)
  2. Enter the number of teeth on the gear
  3. Select the unit of measurement (inches or millimeters)
  4. Click the "Calculate" button to compute the external diameter
  5. The calculator will display the result along with detailed calculation steps

Understanding Gear Geometry

Gears are mechanical components used to transmit motion and power between rotating shafts. The external diameter of a gear is an important parameter that affects how gears mesh with each other.

The pitch diameter is the reference diameter used to calculate gear properties. The relationship between the external diameter, pitch diameter, and number of teeth is:

D = P × (Z/P + 2)

Where:

  • D = External Diameter
  • P = Pitch Diameter
  • Z = Number of Teeth

Practical Applications

This calculator is useful for:

  • Designing gear systems
  • Ensuring proper gear meshing
  • Manufacturing and inspection of gears
  • Calculating required bearing sizes

Note: For more complex gear calculations, including tooth thickness and pressure angle, additional parameters would be needed.