Stress at a point – stress on an arbitrarily oriented plane - stress transformations - strain theory – principal stresses & strains (2D& 3D) - Generalized Hooke’s law - Equations of thermo-elasticity for isotropic materials - strain energy density - stress concentration.
Failure & Failure criteria: Modes of failure – yield failure criteria - introduction to fracture mechanics - cracks & brittle fracture – fatigue - elastic and inelastic buckling.
Beams on elastic foundation: Basic equations - Winkler foundations - semi-infinite beams with concentrated loads – infinite beams with concentrated loads - uniformly distributed load - beams of finite length.
Curved Beams: Circumferential stresses - radial stress and shear stress in curved beams - sections having thinflanges - closed sections with thin walls - deflections of sharply curved beams.
Displacements - strains and compatibility - equilibrium equations and boundary conditions – stressfield solutions for plane stress problems - polynomial solutions in Cartesian coordinates – displacements calculated from stresses - plane stress problems in polar coordinates.