A 50 mm diameter solid steel shaft is coupled by means of a rigid flange coupling to a hollow steel shaft having an external diameter of 100 mm. The coupling has 12 bolts on a pitch circle diameter of 250 mm. The maximum shear stress in the shafts is 55 MPa and the maximum shear stress in the bolts is 21 MPa. G = 80 GPa.
3.1 Determine the maximum torque that the solid shaft can transmit.
3.2 Calculate the internal diameter of the hollow shaft.
3.3 Calculate the standard diameter of the coupling bolts.
3.4 If the solid shaft is 1 m long and the hollow shaft is 2 m long, calculate the equivalent torsional stiffness of the shaft assembly. (Ignore any effects of the coupling)
3.5 Determine the total angle of twist of the shaft assembly.