COURSE SUMMARY
Course Title:
Theory of Elasticity
Course Code:
15MEC242
Year Taught:
2015
2016
2017
2018
Type:
Elective
Degree:
School:
School of Engineering
Campus:
Bengaluru
Chennai
Coimbatore
Amritapuri

'Theory of Elasticity' is a course offered in the B. Tech. in Mechanical Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham.

#### SYLLABUS

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.

#### TEXTBOOKS

• 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

#### REFERENCES

• 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.