A compound shaft is made of two materials on the left is 1 m length of steel, 90 mm , and on the right

A compound shaft is made of two materials – on the left is 1 m length of steel, 90 mm ø, and on the right is 0.8 m length of aluminum, 60 mm ø. The shaft is fixed at the left end and a torque of 1 kN is applied at the right end, as shown in the figure. The modulus of rigidity is 85 GPa for steel and 30 GPa for aluminum.

9. Determine the angle of twist at C with respect to A

10. Determine the torque to be applied at B so that the angle of twist at C with respect to A is zero.

 

Steel A 1 m B Aluminium C 0.8 m 1 kNm