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Q8. A solid steel shaft 190 mm diameter and 10 m long transmits an average power of 1.8 MW at a speed of 250 rev/min. The maximum torque is 1.3 times the mean torque. The solid shaft is to be replaced by a hollow shaft 200 mm outside diameter and be subject to the same torque and stress conditions as the solid shaft.

Calculate EACH of the following:

(a) the maximum stress in the shaft material;(7)

(b) the inside diameter of the replacement hollow shaft; (6)

(c) the weight saving gained by using the hollow shaft. (3)

Note:

The density of steel = 7800 kg/m³