Construction

Pitch Diameter Calculator

Find the pitch diameter of a gear.

Parameters Live Compute
Calculated Output
Pitch diameter 2.5
Formula: PD = teeth ÷ diametral pitch
Step-by-Step Breakdown
1. Values used:
2. Number of teeth = 30
3. Diametral pitch (DP) = 12
4.
5. Pitch diameter = Number of teeth / Diametral pitch (DP) = 30 / 12 = 2.5
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Find the pitch diameter — the circle where gear teeth ideally mesh.

The math behind it

PD = number of teeth ÷ diametral pitch. DP = teeth per inch of pitch diameter.

Worked Example

30 teeth, DP 12 → 2.5 in.

Frequently Asked Questions

Module instead?

In metric, module = 25.4 ÷ DP; pitch diameter = module × teeth (mm).

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