1. A hollow shaft with diameter ratio 3:8 is required to transmit 600 KW power at 110 rpm, the maximum torque being 20% greater than the mean. The shear stress is not to exceed 63MN/m2 and angle of twist in a length of 3 m is not to exceed 1.40 . Determine the diameter of the shaft. Assume modulus of rigidity for the shaft material as 84 GN/m2 .

2. Find the increase in volume of thin walled spherical shell with internal radius r subjected to uniform internal pressure p.

3. Draw the shear force and bending moment diagrams for the beam and loading shown in Fig. 1 and determine the maximum normal stress due to bending.