The $2-$in$-$diameter solid steel shaft shown below is simply supported at the ends. Two pulleys are keyed to the

shaft where pulley B is of diameter $2$ in$.$ and pulley C is of diameter $10$ in$.$ The pulleys are located $8$ in from each

other and away from the supports. Considering bending and torsional stresses only, determine the locations and

magnitudes of the greatest tensile, compressive, and shear stresses in the shaft