10ME661 Theory of Elasticity syllabus for ME


Part A
Unit-1 Definition And Notation 6 hours

Stress, Stress at a Point, Equilibrium Equations, Principal Stresses, Mohr’s Diagram, Maximum Shear Stress, Boundary Conditions.

Unit-2 Strain At A Point 7 hours

Compatibility Equations, Principal Strains, Generalised Hooke’s law, Methods of Solution of Elasticity Problems – Plane Stress-Plane Strain Problems.

Unit-3 Two Dimensional Problems 7 hours

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.

Unit-4 General Equations In Cylindrical Co-Ordinates 6 hours

Thick cylinder under uniform internal and / or external pressure, shrink and force fit, stress concentration.

Part B
Unit-5 Stresses In An Infinite Plate 7 hours

Stresses In An Infinite Plate (with a circular hole) subjected to uniaxial and biaxial loads, stress concentration, stresses in rotating discs and cylinders.

Unit-6 Torsion Of Circular, Elliptical And Triangular Bars 6 hours

membrane analogy, torsion of thin open sections and thin tubes.

Unit-7 Thermal Stresses 7 hours

Thermo elastic stress strain relationship, Equations of equilibrium Thermal stresses in thin circular discs and in long circular cylinder, sphere.

Unit-8 Uniqueness Theorem 6 hours

Principle of super position, reciprocal theorem, saint venant principle.

Last Updated: Tuesday, January 24, 2023