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Course Co-ordinated by IIT Madras
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Dr. U. Saravanan
IIT Madras

 

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This first course in mechanics of deformable bodies introduces the four concepts - Force, stress, strain, displacement - and the four equations that connect them, namely equilibrium equations, constitutive relation, compatibility condition and strain displacement relation.Systematic procedure to solve problems of engineering interest is outlined. In particular, force and displacement relation of structural elements subjected to uniaxial stress, bending, twisting and inflation is studied. Estimation of possible modes of failure of these structural elements and the failure load is outlined.

Week

Topics

1.

Mathematical Preliminaries

2.

†Concept of Force, Displacement and stress

3.

Transformation of stress and equilibrium equation

4.

Concept of strain

5.

Constitutive relation, strain energy and potential

6.

Displacement due to uniaxial loading, temperature and bending

7.

Stresses and deflection in homogeneous beams loaded about one principal axis

8.

Stresses and deflection in beams loaded about principal axis

9.

Stresses and deflection in beams not loaded about principal axis

10.

Stresses and displacement due to torsion

11.

Thick and thin walled pressure vessels

12.

Failure modes

Engineering Mechanics, Basic Calculus


 Gere, J. M., Goodno, B. J., Mechanics of materials, Cengage Learning, 2012.
2. Popov E.P. Engineering mechanics of solids, Prentice Hall of India Private Limited, 2004.
3. Beer F.P., Johnson E.R., and

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