ME202-Advanced Mechanics of Solids
Course Objectives:
- To impart concepts of stress and strain analyses in a solid.
- To study the methodologies in theory of elasticity at a basic level.
- To acquaint with the solution of advanced bending problems.
- To get familiar with energy methods for solving structural mechanics problems.
Syllabus:
Introduction, concepts of stress, equations of equilibrium, strain components, strain-displacement relations,compatibility conditions, constitutive relations, boundary conditions, 2D problems in elasticity, Airy’s stress function method, unsymmetrical bending of straight beams, bending of curved beams, shear center, energy methods in elasticity, torsion of non-circular solid shafts, torsion of thin walled tubes.
Expected outcome:
At the end of the course students will be able to
- Apply concepts of stress and strain analyses in solids.
- Use the procedures in theory of elasticity at a basic level.
- Solve general bending problems.
- Apply energy methods in structural mechanics problems.
Text Books:
- L. S. Sreenath, Advanced Mechanics of Solids, McGraw Hill, 2008
- S. Jose, Advanced Mechanics of Materials, Pentagon Educational Services, 2013
- S. Anil Lal, Advanced Mechanics of Solids, Siva Publications & Distributors, 2017
References Books:
- S. P. Timoshenko, J. N. Goodier, Theory of elasticity, McGraw Hill,1970
- R.J. Atkin, and N. Fox, An introduction the theory of elasticity, Longman,1980
- J. P. Den Hartog, Advanced Strength of Materials, McGraw Hill,1987
- C. K. Wang, Applied Elasticity, McGraw Hill,1983
- S. M. A. Kazimi, Solid Mechanics, McGraw Hill,2008
- L. Govindaraju ,TG Sitharaman, Applied elasticity for Engineers,NPTEL
- U. Saravanan, Advanced Solid Mechanics, NPTEL
- http://solidmechanics.org/contents.php- Free web book on Applied Mechanics of Solids by A.F. Bower.
Presentations:
| Module | Topic | Date of Upload |
|---|---|---|
| Module-0 | Introduction | 14-01-2018 |
| Module-1 | Stress Analysis Part-1 | 14-01-2018 |
| Module-1 | Stress Analysis Part-2 | 14-01-2018 |
| Module-1 | Strain Analysis | 22-01-2018 |
| Module-2 | Constitutive equations | 29-01-2018 |
| Module-2 | 2D Problems in Elasticity | 08-02-2018 |
Tutorials:
| Name.Sl No | Topic | Date of Submission |
|---|---|---|
| Tutorial-1 | Analysis of Stess | 22-01-2018 |
| Tutorial-2 | Analysis of Strain | 02-02-2018 |
| Tutorial-3 | Stress-Strain Relations and 2D problems in elasticity | 09-02-2018 |