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State and explain Saint-Venants semi-inverse method for prismatic bars under

torsion. Hence determine torsional moment and shear stresses in terms of

Prandtls stress function .

2. Derive the Saint-Venants solution for the problem of torsion in straight bars

with circular and elliptical cross-section in obtaining shear stress distribution.

3. Determine the stresses due to bending of a prismatic cantilever subjected to

terminal load and having circular cross-section.

4. a) Assumptions in Theory of Plasticity and its Yield Criteria?

b) Explain Soap film analogy method