Unit I: Theory of Elasticity-Introduction, Stress. Differential equations of equilibrium, strain, compatibility conditions, plane problems of elasticity, stress strain relations, stress functions and applications in 2D problems. Pressurized cylinders & rotating disks, Governing equations, Stresses in thick walled cylinder under internal and external pressures. Introduction to experimental stressanalysis.
Unit II: Energy Methods-Work done by forces and strain energy, reciprocal relations, Castigliano’s theorems, Fictitious load method, statically indeterminate structures, theorem of virtual work, and generalization of castigliano’s theorem.
Unit III: Asymmetrical Bending of beams-Bending of prismatic bars and unsymmetrical bending. Concept of shear centre in symmetric and un-symmetric bending, Plate bending, bending of curved beams.
Unit IV: Torsion of non-circular sections-Introduction, torsion of general prismatic solid section like circular, elliptical, rectangular, triangular shafts, membrane analogy, torsion of thin walled tubes, torsion of thin walled multiple cell closed sections.
- Theory of Elasticity, 1970, Timoshenko SN & Goodier JN, McGrawHill.
- Advanced Mechanics of Materials, 2nd , 1998 Cook RD & Yound WC, PrenticeHall.
- Advanced MechanicsofMaterials, 5th , 1995 Boresi AP, Sidebottom OM, John Wiley.
- Experimental Stress Analysis, 3rd , 2005, Dally JW & Riley WF, College House Enterprises.