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Course Detail

Course Name Solid Mechanics
Course Code 15CVL203
Program B. Tech. in Civil Engineering
Semester Three
Year Taught 2019


Unit 1

Stress and strain at a point – tension, compression and shear stresses – Hooke’s law – Poisson’s ratio – relationship between elastic constants – compound bars – thermal stresses – strain energy in tension, compression and shear – resilience – stresses due to impact and suddenly applied load.

Different types of beam – statically determinate and indeterminate beams – shear force and bending moment diagrams – relationship between intensity of loading, shear force and bending moment.

Unit 2

Theory of simple bending – Stress distribution at a cross-section due to bending moment forstatically determinate beams – flitched beams.

Shear stress distribution.

Unsymmetrical bending and Shear centre.

Torsion of circular solid and hollow shafts – combined bending moment and torsion on shafts – close coiled and open coiled helical springs

Complex stresses – principal stresses and principal planes – principal strains – graphical method

Unit 3

Deflection of beams – double integration method – Macaulay’s method – Area Moment method – Conjugate beam method – Strain energy approach.

Theory of columns – members subjected to axial load and bending moment – Euler’s theory for long columns – assumptions and limitations – Rankine’s formula.

Thin and thick cylinders – Lame’s equation – compound cylinders.

Theories of failure and applications in design.

Text Books

  1. Gere, J. M. and Goodno. B. J., “Mechanics of Materials”, CL Engineering, 2012.
  2. Beer, Johnston, DeWolf, Mazurek., “Mechanics of Materials”, McGraw-Hill Education, 2013.


  • Timoshenko, S. P., and Young, D. H., “Elements of Strength of Materials”, East West Press, New Delhi, 2003.
  • Popov E. P., “Mechanics of Materials”, Prentice Hall India, New Delhi, 2002
  • Crandall, S. H., Dahal, N. C., and Lardener, T. J., “An Introduction to Mechanics of Solids”, McGraw Hill Books Co, 1985, 2nd Edition 2007 4. Nash W. A. “Strength of Materials”, McGraw Hill Book Company, 2006

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