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Q1. A drive shaft comprises a solid steel shaft of 28 mm diameter which is a sliding fit in a hollow shaft of outside diameter 40 mm. The two shafts are connected by a shear pin as shown in Fig Q4. The torsional shear stress in the solid shaft is not to exceed 24 MN/m², whilst the pin material will shear at a stress of 80 MN/m². Calculate EACH of the following:

(a) The maximum torque that can be transmitted by the solid shaft;

(b) The maximum shear stress in the hollow shaft when transmitting the torque calculated in Q4 (a);

(c) The diameter of the shear pin so that it will protect the solid shaft from excessive stress.