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Mechanical Engineering QUESTION #2471
Question 1
In the Lewis beam strength equation for gear tooth bending, the allowable bending load \(F_b\) is expressed as:
  • \(F_b = \sigma_b B / P_d\)
  • \(F_b = \sigma_0 B p Y = \sigma_0 B \pi Y / P_d\)✔️
  • \(F_b = \sigma_0 B C / P_d^2\)
  • \(F_b = \pi \sigma_0 B d / N\)
Correct Answer Explanation
The Lewis equation: \(F_b = \sigma_0 B p Y\) where \(\sigma_0\) is allowable bending stress, \(B\) is face width, \(p=\pi/P_d\) is circular pitch, and \(Y\) is the Lewis form factor.