Using the governing equation for the axial deformation of a bar, argue why the displacement field must be quadratic (independent of the boundary conditions for the bar) in the presence of a constant distributed body force; i. e. for the case where b(x) = bo a constant. Assume AE is constant.

Aplate clutch has a single pair of mating friction surfaces 250-mm od by 175-mm id. the mean value of the coefficient of friction is 0.30, and the actuating force is 4 kn. a) find the maximum pressure and the torque capacity using the uniform-wear model. b) find the maximum pressure and the torque capacity using the uniform-pressure model.