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

$($Hint: For normal stress $-$ Look at moment diagram in xy plane then xz plane, and combine to find max moment

location. For shear stress $-$ Note that the ends are free to rotate, so locating max shear stress location should be

straightforward.$)$

$(30$ points$)$

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