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Anna Theory of Elasticity Sem-VI
No Units Titles Sub Titles Chapters
1 Unit 1 Basic Equtions of Elasticity Definition of Stress and Strain- Stress - Strain relationships - Equations of Equilibrium, Compatibility equations, Boundary Conditions, Saint Venant's principle - Principal Stresses, Stress Ellipsoid - Stress invariants VIEW CHAPTERS
2 Unit 2 Plain stress and plane strain problems Airy's stress function, Bi-harmonic equations, Polynomial solutions, Simple two dimensional problems in Cartesian coordinates like bending of cantilever and simply supported beams VIEW CHAPTERS
3 Unit 3 Popular coordinates Equations of equilibrium, Strain - displacement relations, Stress - strain relations, Airy's stress function, Axi - symmetric problems, Introduction to Dunder's table, Curved beam analysis, Lame's, Kirsch, Michell's and Boussinesque problems - Rotating discs VIEW CHAPTERS
4 Unit 4 Torsion Navier's theory, St Venant's theory, Prandtl's theory on torsion, semi- inverse method and applications to shafts of circular, elliptical, equilateral triangular and rectangular sections, Membrane Analogy VIEW CHAPTERS
5 Unit 5 Introduction to theoryof plates and shells Classical plate theory - Assumptions - Governing equations - Boundary conditions - Navier's method of solution for simply supported rectangular plates - Levy's method of solution for rectangular plates under different boundary conditions VIEW CHAPTERS
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