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11. (a) Explain the application of membrane analogy in solving torsion problem, of prismatic
bar of any cross section, for finding twisting moment and shear stress acting on the cross

section. (6)
B B4B142
(b) State and prove Maxwell’s reciprocal theorem. (4)

12. Find the angle of twist per unit length when the two cell tubular section, as shown in

figure 2 is subjected to 8 torque of 30,000 .Take valueof=160x10 /
(10)

1.500

30cm | 30cm
കം

Figure 2

13. Use Prandtl’s method to derive equations for the components of stress, the maximum

value of resultant stress and torsional rigidity of a prismatic bar with elliptic cross

section. os 7 இ (10)
14. Derive an equation for angle of twist per unit length for a thin walled tube subjected to a
torque, T. (10)

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