Practice Problem 2-3 |
Given: In a gear train, Gear A drives Gear B. Due to the gear contact, Gear A applies a force of FA = 900 N on Gear B. The gear teeth on both gears are of length L = 2.5 cm and the pressure angle is f = 14°. Req'd: What is the Maximum Bending Moment, Mmax in the gear tooth [N-m]? |
Solution: For a cantilevered beam with point load at tip, the maximum moment occurs at the base and is given by: Mmax = (Fvert)(L) = FA·cos(f)·L = (873 N)(0.025 m) = 21.8 N-m |