The formula to calculate the Bite Angle (αb) is:
\[ \alpha_b = \cos^{-1} \left( 1 - \frac{h}{2R} \right) \]
The bite angle refers to the maximum attainable angle between the roll radius at the first contact and the roll centers during rolling of metals.
Height is the distance between the base and the bottom of the roller pressing the material during the rolling process.
The Roller Radius is the distance between the center and the point on the circumference of the roller.
Let's assume the following values:
Using the formula:
\[ \alpha_b = \cos^{-1} \left( 1 - \frac{0.0274}{2 \times 0.102} \right) \approx 0.52427663626508 \]
The Bite Angle is approximately 0.52427663626508 rad.
| Height (m) | Roller Radius (m) | Bite Angle (rad) |
|---|---|---|
| 0.02 | 0.102 | 0.44650736211107 |
| 0.021 | 0.102 | 0.45772802381482 |
| 0.022 | 0.102 | 0.46869872506934 |
| 0.023 | 0.102 | 0.47943670062767 |
| 0.024 | 0.102 | 0.48995732625373 |
| 0.025 | 0.102 | 0.50027438768545 |
| 0.026 | 0.102 | 0.51040030156976 |
| 0.027 | 0.102 | 0.52034629845084 |
| 0.028 | 0.102 | 0.53012257548399 |
| 0.029 | 0.102 | 0.53973842477926 |