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Course Detail

Course Name Advanced Mechanics of Materials
Course Code 15CVL431
Program B. Tech. in Civil Engineering
Year Taught 2019


Unit 1

Stress at a point – stress on an arbitrarily oriented plane – stress transformations – strain theory – principal stresses & strains (2D& 3D) – Generalized Hooke’s law – Equations of thermo-elasticity for isotropic materials – strain energy density – stress concentration.

Failure & Failure criteria: Modes of failure – yield failure criteria – introduction to fracture mechanics – cracks & brittle fracture – fatigue – elastic and inelastic buckling.

Unit 2

Beams on elastic foundation: Basic equations – Winkler foundations – semi-infinite beams with concentrated loads – infinite beams with concentrated loads – uniformly distributed load – beams of finite length.

Curved Beams: Circumferential stresses – radial stress and shear stress in curved beams – sections having thinflanges – closed sections with thin walls – deflections of sharply curved beams.

Unit 3

Displacements – strains and compatibility – equilibrium equations and boundary conditions – stressfield solutions for plane stress problems – polynomial solutions in Cartesian coordinates – displacements calculated from stresses – plane stress problems in polar coordinates.

Text Books

  1. A. P. Boresi and O. M. Sidebottom, “Advanced Mechanics of Materials”, Wiley, 2009.
  2. Budynas, R. G., “Advanced Strength and Applied Stress Analysis”, Tata McGraw Hill, 2011.


  • Timoshenko S. P and Goodier J. N, “Theory of Elasticity”, Tata McGraw Hill, 2010.
  • Srinath L. S, “Advanced Mechanics of Solids”, Tata McGraw Hill, 2008.
  • S P Timoshenko,“Strength of Materials – Part 2” CBS Publishers & Distributors; Third edition, 1956.
  • R. D. Cook and W. C. Young, “Advanced Mechanics of Materials”, Prentice Hall, 1999.

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