A composite assembly consisting of a steel [G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube (1) is shown in Figure P6.63a/64a. The cross-sectional...

A composite assembly consisting of a steel [G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube (1) is shown in Figure P6.63a/64a. The cross-sectional dimensions of the assembly are shown in Figure P6.63b/64b. The allowable shear stress of aluminum tube (1) is 90 MPa, and the allowable shear stress of steel core (2) is 130 MPa. Determine

(a) the allowable torque T that can be applied to the composite shaft.

(b) the corresponding torques produced in tube (1) and core (2).

(c) the angle of twist produced by the allowable torque T.