Dr A.P.J. Abdul Kalam Technical University, UP, Mechanical Engineering Semester 8, Theory of Elasticity Syllabus

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Unit - 1 Basic Equations of Elasticity
1.1 Definition of Stress and Strain
1.2 Relation between stress and strain
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
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
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
5.1 Classical Plate theory KCPT
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Other Subjects of Semester-2
Machine learning
Non-destructive testing
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