Stress Concentration, Concept of stress and strain: St. Venant’s principle of stress and strain diagram, Hooke’s law, Young’s modulus, Poisson ratio, stress at a point, stresses and strains in bars subjected to axial loading, Modulus of elasticity, stress produced in compound bars subjected to axial loading, Temperature stress and strain calculations due to applications of axial loads and variation of temperature in single and compound walls. Two dimensional system, stress at a point on a plane, principal stresses and principal planes, Mohr’s circle of stress, ellipse of stress and their applications, Two dimensional stress-strain system, principal strains and principal axis of strain, circle of strain and ellipse of strain, Relationship between elastic constants.
Definition shear force and bending moment, relation between load, shear force and bending moment, BM and SF diagrams for cantilevers, Simply supported and fixed beams with or without overhangs, calculation of maximum BM and SF and the point of contra flexure under Concentrated loads, Uniformity distributed loads over the whole span or part of span, combination of concentrated loads (two or three) and uniformly distributed loads, uniformly varying loads, application of moments.
Symmetric member in pure bending, stress and deformations in the elastic range, deformations in transverse cross section, bending of members made of several materials, stress concentrations, plastic deformations, residual stresses, eccentric axial loading in a plane of symmetry, unsymmetrical bending, general case of eccentric axial loading, bending of curved members, deflection of beams
Stresses and deformation in circular shaft, Stresses in elastic range, Angle of twist, statically indeterminate shafts, design of transmission shafts, stress concentration and plastic deformations in circular shafts, circular shafts of an elastoplastic material, residual stresses in circular shafts, torsion of noncircular member, thin walled hollow shafts
Definitions, expressions for strain energy stored in a body when load is applied: gradually, suddenly and with impact, strain energy of beams in bending, beam deflections, strain energy of shafts in twisting, energy methods in determining spring deflection, Castigliano’s & Maxwell’s theorems
Column under axial load, concept of instability and buckling, slenderness ratio, derivation of Euler’s formulae for the elastic buckling load, Euler’s, Rankine, Gordom’s formulae Johnson’s empirical formula for axial loading columns and their applications, eccentric compression of a short strut of rectangular & circular sections