JNTUH COLLEGE OF ENGINERING KUKATPALLY HYDERABAD DEPARTMENT OF CIVIL ENGINEERING

JNTUH COLLEGE OF ENGINERING KUKATPALLY HYDERABAD DEPARTMENT OF CIVIL ENGINEERING

M. Tech (SE)(PTPG) I Semester

THEORY OF ELASTICITY & PLASTICITYAnswer any FIVE questions Time: 3Hrs

All questions carry equal marks

Max Marks: 60

1. Define Hookes law and stress strain relations for a deformable body of elastic material. Obtain equilibrium equation and boundary conditions and hence arrive at compatibility condition in term of stress components for a plane stress condition. 2. Evaluate the stress components in the cross section and deformations of a simply supported beam loaded with UDL.3. Obtain the effect of a circular hole on stress distribution in plates.

4. When a curved bar is bending due to force applied at one end, find out the stresses in the c/s and deformation of the bar.5. Explain stress ellipsoid and stress invanants Calculate principal stresses for the following stress tensor at a point in a 3-D body.

1206

0104 6 4 14

6. a) Write equations of equilibrium in term of displacements for 3-D problem of

elasticity. b) When a prismatic bar is stretching by its own weight. obtain displacements of

bar at the free end.

7. Explain membrane analogy. Apply the same to a bar of narrow rectangular section and evaluate shear stresses in cross section.

8. Explain briefly i) Soap film method

ii) Torsion of rolled profiled sectionJNTUH COLLEGE OF ENGINERING KUKATPALLY HYDERABAD DEPARTMENT OF CIVIL ENGINEERING

M. Tech (SE)(PTPG) I Semester - II - MIDTHEORY OF ELASTICITY & PLASTICITY

Answer any FOUR questions Time: 2Hrs

All questions carry equal marks

Max Marks: 40

1. Evaluate the displacements in pure bending of prismatic bar. 2. State and explain saint venants semi inverse method for prismatic bars under torsion. Hence arrive at shear stress and torque values in terms of stress function . Applying the same to a bar of elliptic c/s obtain distribution of shear stress in the c/s and warping displacement in c/s.

3. Derive membrane analogy. Apply this to the torsion of bar of narrow rectangular cross section. 4. Evaluate the shear stress distribution in a cantilever bar of circular cross section, loaded at the fue end.

5. Explain soap film method for solving bending problem.

6. Explain

i) Torsion of thin tubes

ii) Failure theories for Elastic / Plastic behavior of materials.