Problem $3$:

The shaft shown in the figure below is made from an aluminum jacket ACB with $G_{\text{A}\text{l}\text{u}}=27,000$ MPa, and a steel core $AC$ and $CB$ with $G_{Stl}=75,000$MPa. If it is fixed at $B$ and a torque of $T_0=600N-m$ is applied at its rigid end cap at $A$ as shown,

draw F$.$B$.$D$.$s for your calculation;

draw the internal torque $T$ diagrams for the aluminum jacket and the steel core;

determine the internal torque $T_{Stl}$ in the steel core and $T_{\text{A}\text{l}\text{u}}$ in the aluminum jacket;

calculate the maximum shear stress $({}_{\text{m}\text{a}\text{x}}{)}_{Stl}$ in the steel core and $({}_{\text{m}\text{a}\text{x}}{)}_{\text{A}\text{l}\text{u}}$ in the aluminum jacket.