Relation between Pitch and Pitch Circle Diameter of Chain Drive Calculator

Calculate Pitch Circle Diameter





Formula

The formula to calculate the Pitch Circle Diameter of a Chain Drive is:

\[ d_{pitch} = P_{chain\ drive} \cdot \csc\left(\frac{180 \cdot \pi}{180 \cdot t_{sprocket}}\right) \]

Where:

Definition

The Pitch Circle Diameter of a Gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.

Example Calculation

Let's assume the following values:

Using the formula:

\[ d_{pitch} = 0.05 \cdot \csc\left(\frac{180 \cdot \pi}{180 \cdot 30}\right) \]

Evaluating:

\[ d_{pitch} = 0.478338611675281 \text{ m} \]

The Pitch Circle Diameter of the Chain Drive is 0.478338611675281 m.

Conversion Chart

Pitch of Chain Drive (m) Number of Teeth on Sprocket Pitch Circle Diameter (m)
0.01 30 0.095667722335
0.02 30 0.191335444670
0.03 30 0.287003167005
0.04 30 0.382670889340
0.05 30 0.478338611675
0.06 30 0.574006334010
0.07 30 0.669674056345
0.08 30 0.765341778680
0.09 30 0.861009501016
0.1 30 0.956677223351