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Spur Gear Pitch Diameter, Module & Diametral Pitch Calculator

Easily calculate and compute spur gear pitch diameter, module & diametral pitch calculator with accurate equations, live formulas, and expert guidance.

Standard Imperial gear pitch.

Calculated Result
3 inches

Standard Pitch Diameter (D)

Standard Pitch Diameter (D)

3 inches

Pitch Diameter Inches

3

Metric Module Mm

2.12

Outer Tip Diameter Inches

3.167

Circular Pitch Inches

0.262

3 — inches

Calculation Breakdown

  1. Applied FormulaCalculates pitch diameter, outside addendum diameter, circular tooth pitch, and metric module for standard 14.5° and 20° involute spur gears.D = \dfrac{N}{\text{DP}}, \quad m = \dfrac{25.4}{\text{DP}}

Spur Gear Geometry Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.81.52.33.0Standard Pitch Diameter (D)

What Is the Spur Gear Pitch Diameter, Module & Diametral Pitch Calculator?

This tool computes spur gear pitch diameter, module & diametral pitch calculator with high precision arithmetic.

How Does the Spur Gear Pitch Diameter, Module & Diametral Pitch Calculator Work?

Calculates pitch diameter, outside addendum diameter, circular tooth pitch, and metric module for standard 14.5° and 20° involute spur gears.

Spur Gear Pitch Diameter, Module & Diametral Pitch Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

D=NDP,m=25.4DPD = \dfrac{N}{\text{DP}}, \quad m = \dfrac{25.4}{\text{DP}}

Calculates pitch diameter, outside addendum diameter, circular tooth pitch, and metric module for standard 14.5° and 20° involute spur gears.

How to Use the Spur Gear Pitch Diameter, Module & Diametral Pitch Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Spur Gear Pitch Diameter, Module & Diametral Pitch Calculator Example

Input Values:

toothCountN:36
diametralPitchDp:12
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required inches.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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