Machine Design

A spur gear in a seed drill gear train has a module of $m = 3\text{ mm}$ and a face width of $b = 30\text{ mm}$. The gear tooth material has an allowable bending fatigue stress of $\sigma_b = 140\text{ MPa}$. The Lewis form factor based on module is $Y = 0.32$. Using the Lewis bending equation ($F_t = \sigma_b b m Y$), the maximum permissible beam strength tangential tooth load in $\text{N}$ is ________ (round off to integer).