Mechanics Of Materials

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.INTENDED AUDIENCE : Any Interested learnersPREREQUISITES :Engineering Mechanics, Basic Calculus

Week 1: Mathematical PreliminariesWeek 2: Concept of Force, Displacement and stressWeek 3: Transformation of stress and equilibrium equationWeek 4: Concept of strainWeek 5:Governing equations in mechanicsWeek 6:Displacement due to uniaxial loading, temperature and bendingWeek 7:Stresses and deflection in homogeneous beams loaded about one principal axisWeek 8: Stresses and deflection in beams loaded about principal axisWeek 9: Stresses and deflection in beams not loaded about principal axisWeek 10: Stresses and displacement due to torsionWeek 11:Pressure vessels and Failure criteriaWeek 12:Buckling