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Q1. An intermediate shaft is fitted to an engine of power 14 MW operating at 100 rev/min. The shaft is to be solid, with a coupling flange at each end with 12 bolt holes on a pitch circle diameter of 1.6 times the shaft diameter. The limiting shear stress is 190 MN/m² for the shaft material and 170 MN/m² for the bolt material. Calculate EACH of the following:

(a) The diameter of the shaft for a safety coefficient (factor of safety) of two;

(b) The diameter of the bolts for a safety coefficient (factor of safety) of two.