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Course Detail

Course Name Theory of Elasticity
Course Code 15MEC242
Program B. Tech. in Mechanical Engineering
Year Taught 2019


Unit 1

Analysis of Stress and Strain: Stress at a point; stress tensor; stress transformations; principal stresses; octahedral stress; geometrical representation of stress at a point; equations of equilibrium.

Infinitesimal affine transformation for deformation; strain tensor; principal strains; strain-displacement relations for finite and infinitesimal strains; compatibility conditions. Constitutive Equations:General theory; generalized Hooke’s law for anisotropic and isotropic materials.

Unit 2

Equations of Elasticity: Common equations of elasticity theory like Mitchel-Beltrami and Navier equations, formulation of the general elasticity problem; boundary conditions.

Unit 3

Solution of Some Special Boundary Value Problems: Simplifications; two-dimensional problems in rectangular and polar coordinates; Airy’s stress function; a few problems like stress concentration around a circular hole and Boussinesq problem.

A few representative three-dimensional problems; torsion and bending of noncircular prismatic bars (Saint-Venant’s solution); membrane analogy, Simple Plate bending.

Text Books

  • Timoshenko S. P. and Goodier J. N. – ‘Theory of Elasticity’- McGraw Hill International Editions, 1970 – 3rd Edition
  • L. S. Srinath – ‘Advance Mechanics of Solids’ – McGraw Hill Education – 2009 – 3rd Edition


  • Hartog, J. P. D. – ‘Advanced Strength of Materials’- Dover Publications Inc, – 1987
  • Boresi A. P., Schmidt R. J. and Sidebottom O. M. – ‘Advanced Mechanics of Materials’ – John Wiley & Sons Inc. – 1993 – 5th Edition
  • Durelli A. J., Phillips E. A. and Tsao C. H. – ‘Introduction to the Theoretical and Experimental Analysis of Stress and Strain’ – McGraw Hill, New York – 1958.

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