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Unit - 1 Basic Equations Of Elasticity

Unit 1

Basic Equations of Elasticity

1.1 Definition of Stress and Strain

1.2 Relation between stress and strain

1.3 Equation of equilibrium

1.4 Compatibility Equations

1.5 Boundary Conditions

1.6 Saint venant’s Principle

1.7 Stress Ellipsoid

1.8 Stress Invariants

Unit - 2 Plane Stress And Plane Strain Problems

UNIT 2

Plane Stress and Plane Strain Problems

2.1 Airy’s Stress Function

2.2 BiHarmonic Equation

2.3 2D Problem on Airy space function

Unit - 3 Polar Coordinates

UNIT 3

Polar coordinates

3.1 Equilibrium equation in the polar coordinate

3.2 Strain Displacement Relation

3.3 StressStrain Relation

3.4 Airy Stress Function in the polar coordinate

3.5 Axial Symmetry

3.6 Curved beam analysis

3.7 Circular plate with a Holelame’s problem

3.8 Special case rotating disk

3.9 Boussinesq problem

3.10 Kirsch’s Problem

Unit - 4 Torsion

UNIT 4

TORSION

4.1 Navier’s Theory of Torsion

4.2 St. Venant’s Theory of TorsionSemi inverse method

4.3 Application of St. Venant TheorySemiinverse method

4.4 Prandtl’s Theory on Torsion

4.5 Membrane Analogy

Unit - 5 Introduction To Theory Of Plates And Shells

UNIT 5

Introduction to Theory of Plates and Shells

5.1 Classical Plate theory KCPT

5.2 Boundary Conditions

5.3 Navier’s method for a simply supported rectangular plate

5.4 Levy’s Method of Solution for Rectangular Plates

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