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 1: Mathematical Preliminaries Week 2: Concept of Force, Displacement and stress Week 3: Transformation of stress and equilibrium equation Week 4: Concept of strain Week 5: Constitutive relation, strain energy and potential Week 6: Displacement due to uniaxial loading, temperature and bending Week 7: Stresses and deflection in homogeneous beams loaded about one principal axis Week 8: Stresses and deflection in beams loaded about principal axis Week 9: Stresses and deflection in beams not loaded about principal axis Weel 10: Stresses and displacement due to torsion Week 11: Thick and thin walled pressure vessels Week 12: Failure modes
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