ME 223

Solid Mechanics - II

3-0-0-6

Prerequisite: ME 212 Solid Mechanics – I or Equivalent

Syllabus:

Review on 3D state of stress in solids; review on 3D state of strain in solids; Saint-Venant’s principle; principle of superposition; boundary value problems: stress formulation, displacement formulation, Beltrami-Michell equations, Navier’s equations; methods of solution; plane problems: plane stress and plane strain problems; solution of plane problems using Airy stress function: straight beams, curved beams; unsymmetrical bending of beam elements; shear centre and shear flow in thin-walled beams; axisymmetric problems: thick-walled cylinders, rotating disk and cylinders; stress analysis of a plate with a circular/non-circular hole, torsion of non-circular bar; energy methods: principle of virtual work, minimum potential energy.

Texts:

1.     S. P. Timoshenko and J. N. Goodier, Theory Of Elasticity, McGraw Hill International, 2010.

2.     L. S. Srinath, Advanced Mechanics Of Solids, Tata McGraw -Hill, 2008.

References:

1.     M. H. Sadd, Elasticity: Theory, Applications and Numerics, Elsevier, 2005.

2.     S. H. Crandall, N. C. Dahl and T. J. Lardner, An Introduction to the Mechanics of Solids, TMH, 2008.

3.     S. P. Timoshenko, Strength of Materials, Vols. 1 and 2, CBS Publishers, 1986.

4.     H. Shames and J. M. Pitarresi, Introduction to Solid Mechanics, Prentice Hall of India, 2003.

5.     A. C. Ugural and S. K. Fenster, Advanced Strength and Applied Elasticity, 3rd Ed., Prentice Hall, 1994.

6.     A. P. Boresi, R. J. Schmidt and O. M. Sidebottom, Advanced Mechanics Of Materials, John Wiley, 1993.

7.     Y. C. Fung, Foundations of Solid Mechanic