The composite shaft shown in Figure P6.65/66 consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sleeve has an outside diameter of 35 mm, an inside diameter of 25...

The composite shaft shown in Figure P6.65/66 consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sleeve has an outside diameter of 35 mm, an inside diameter of 25 mm, and a shear modulus of G₁
= 45 GPa. The solid steel core has a diameter of 25 mm and a shear modulus of G₂
= 80 GPa. The allowable shear stress of sleeve (1) is 180 MPa, and the allowable shear stress of core (2) is 150 MPa. Determine

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

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

(c) the rotation angle of end B relative to end A that is produced by the allowable torque T.