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Course content |
Module 1: Basics: Fundamentals of mechanics of deformable solids. Concepts of stress and strain and their relationships. Axially loaded members - Normal stress and strain, Simple (direct) shear stress and strain, Hooke’s law, Stresses on inclined planes under axial loading, thermal stresses and strains, statically indeterminate problems. Elastic strain energy under axial loads.
Module 2: Torsion: torsion of circular cross-section shafts (Solid and hollow sections): Deformation field, Torsion formulae for stresses and angular deflection, Elastic strain energy under torsion, Closely-wound helical springs – stresses and deflections.
Module 3: Bending: Euler – Bernoulli model: normal and shear stresses, deflections for symmetric bending. Statically indeterminate problems, Elastic strain energy under flexure.
Module 4: Combined stresses: State of stress and strain at a point , transformation laws , Mohr’s circle diagram for stress and principal stresses, thin walled structures : thin cylinders and spheres. Theories of failure: Maximum Normal-Stress theory, Maximum shear-stress theory and Maximum Distortional-energy theory.
Module 5: Energy methods – Castigliano’s theorem and its applications, fictitious-load method. Stability of structures – Buckling of idealized and elastic columns
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Texts/References |
TEXTBOOKS- S.H Crandall, N.C Dahl and S.J Lardner, An Introduction to Mechanics of Solids, Tata McGraw Hill, Third Edition, 2012.
- E.P. Popov, Engineering Mechanics of Solids, Prentice Hall of India, 2nd edition, 2012.
REFERENCES:- J. M. Gere and Goodno, Mechanics of Materials, 7th ed, Cengage Learning India, 2012.
- J.P Den Hartog, Strength of Materials, Dover, 1949.
- J.M Gere and S.P Timoshenko, Mechanics of Materials, CBS Publishers, 1986
- R. C. Hibbeler, Mechanics of Materials, Pearson, 10th edition, 2016.
- S.P Timoshenko and D.H Young, Elements of strength of Materials, 5th ed, Affiliated East West Press, 1976.
- F. P. Beer, E. R. Johnston Jr., John T. DeWolf , D. F. Mazurek, Mechanics of Materials, McGraw- Hill Education; 7th edition, 2014
- M. Salvadori and R. Heller, Structure in Architecture, Prentice Hall Inc, 1963.
- S.P Timoshenko, History of Strength of Materials, Dover, 1983.
- M. H. Sadd, Elasticity: Theory, Applications, and Numerics, 1st ed, Elsevier India, 2006.
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