The formula to calculate the Addendum of Wheel is:
\[ A_w = \frac{T}{2} \left( \sqrt{1 + \frac{Z_p}{T} \left( \frac{Z_p}{T} + 2 \right) \left( \sin(\Phi_{\text{gear}}) \right)^2} - 1 \right) \]
Where:
Addendum of wheel is the height by which a tooth of a gear projects beyond the standard pitch circle or pitch line.
Let's assume the following values:
Using the formula:
\[ A_w = \frac{T}{2} \left( \sqrt{1 + \frac{Z_p}{T} \left( \frac{Z_p}{T} + 2 \right) \left( \sin(\Phi_{\text{gear}}) \right)^2} - 1 \right) \]
Evaluating:
\[ A_w = \frac{12}{2} \left( \sqrt{1 + \frac{8}{12} \left( \frac{8}{12} + 2 \right) \left( \sin(0.55850536063808) \right)^2} - 1 \right) \]
The Addendum of Wheel is 1.34657221449183 meters.
| Number of Teeth on Wheel | Number of Teeth on Pinion | Pressure Angle (rad) | Addendum of Wheel (m) |
|---|---|---|---|
| 10 | 8 | 0.55850536063808 | 1.381661843901 |
| 12 | 8 | 0.55850536063808 | 1.346572214492 |
| 14 | 8 | 0.55850536063808 | 1.319773958203 |
| 16 | 8 | 0.55850536063808 | 1.298664104506 |
| 18 | 8 | 0.55850536063808 | 1.281618041012 |
| 20 | 8 | 0.55850536063808 | 1.267572274191 |