Answer to Question #80131 in Other Engineering for Chris

Question

The axle of a heavy duty tractor 120 K W at 600 rpm it acts as a cantilever supporting a load of 280 N located 60 cm from the fixed end. The allowable normal stress Is 137 MPa and the allowable shear stress is 62 MPa. If the axial load is negligible, find the axle diameter. A:52 mm B:50 mm C:56 mm D:54 mm

Answer 1

Normal stress is given by

where the maximum bending moment,

the radius of the axle,

the moment of inertia.

Substitute

Shear stress is given by

where torque,

polar moment of inertia.

Substitute

Thus, the axle diameter is 54 mm (Option D).