Stress, Stress at a Point, Equilibrium Equations, Principal Stresses, Mohr’s Diagram, Maximum Shear Stress, Boundary Conditions.
Compatibility Equations, Principal Strains, Generalised Hooke’s law, Methods of Solution of Elasticity Problems – Plane Stress-Plane Strain Problems.
Cartesian co-ordinates – Airy’s stress functions – Investigation of Airy’s Stress function for simple beam problems – Bending of a narrow cantilever beam of rectangular cross section under edge load – method of Fourier analysis – pin ended beam under uniform pressure.
Thick cylinder under uniform internal and / or external pressure, shrink and force fit, stress concentration.
Stresses in an infinite plate(with a circular hole) subjected to uniaxial and biaxial loads, stress concentration, stresses in rotating discs and cylinders.
membrane analogy, torsion of thin open sections and thin tubes.
Thermo elastic stress strain relationship, Equations of equilibrium Thermal stresses in thin circular discs and in long circular cylinder, sphere.
Principle of super position, reciprocal theorem, saint venant principle.