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:
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.
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.
| 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 |