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Q8. A 300 mm diameter solid steel drive shaft transmits 2500 kW at 115 rpm to a hollow steel shaft via a flanged coupling. The coupling has 8 bolts with a safe working stress of 46 MN/m² fitted on a pitch circle diameter of 650 mm. The hollow shaft has a diameter ratio of 0.75 with the same external diameter as the drive shaft.

Calculate EACH of the following:

(a) the minimum diameter of the coupling bolts. (6)

(b) the maximum shear stress in the hollow shaft. (6)

(c) the angle of twist per unit length of the solid shaft in degrees. (4)

Note:

Modulus of Rigidity for steel = 80 GN/m² .