GR 14SET - 1CODE:GR14D5154GR11D5104GR11D5104GR11D5104GR11D5104GR11D5104

M.Tech - I Semester Regular Examinations, Apr/May, 20151. Theory of Elasticity and PlasticityTime: 3 hours Max Marks: 60

Instructions:1. Question paper comprises of Part-A and Part-B2. Part-A (for 20 marks) must be answered at one place in the answer book.3. Part-B (for 40 marks) consists of seven questions, answer anyFIVE.PART A(Answer ALL questions All questions carry equal marks)2 * 10 = 20 Marks

1). a.State the assumptions of Linear Elasticity[2]

b.Define Stress and Strain tensors?[2]

c.What is Biharmonic equation?[2]

d.What are Hookes Law relation ships?[2]

e.What is Lames ellipsoid?[2]

f.What are Siant-Venants equations of compatibility?[2]

g.What is membrane analogy for torsion?[2]

h.What is warping?[2]

i.What is strain hardening?[2]

j.Define yield criteria?[2]

PART B(Answer any FIVE questions. All questions carry equal marks )8 * 5 = 40 Marks

2.The state of stress at a point with respect to x,y,z system is 105-15 51020 kN/sq.m-152025Determine the stress relative to x1, y1, z1 coordinate systems obtained by a rotation through 450 about Z axis.[8]

3.Obtain equilibrium equations and boundary conditions and hence arrive at compatibility condition in term of stress components for a plane stress condition. [8]

4.A thick cylinder is subjected to internal and external pressures define equations for radial and circumferential stresses at the boundaries.[8]

5.Derive the Saint-Venants solution to the problem of torsion in straight bars and apply this solution to a bar with elliptical cross section.[8]

6.Write the assumptions of theory of plasticity and explain the different theories of failure and write yield criterion for each. [8]

7.Express the solutions for 2-Dimentional problems by the use of polynomials.[8]

8.Determine stresses due to bending of a cantilever by terminal load.[8]

END OF THE PAPER

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