Strength of Materials: Simple Stress & Strain

1. Simple Stress and Strain (10 hours)

1.1 Introduction to Strength of Materials

1.2 Deformable bodies, external forces, internal stresses and strains

1.3 Types of stresses: Normal stress, shear stress, bearing stress

1.4 Material behavior under axial loading: Stress-strain diagram for mild steel, yield stress, proportional limit, elastic limit, Hooke’s law, Young’s modulus of elasticity, strain hardening, ultimate stress/strength, ductility, toughness, elastic and inelastic strains, concept of factor of safety and allowable/permissible stress

1.5 Stress-strain behavior for ductile and brittle materials, proof stress

1.6 Fatigue and creep strength

1.7 Thermal stress and strain in simple, compound, composite and indeterminate bars

1.8 Lateral strains and Poisson’s ratio

1.9 Shear deformation and shear angle; Hooke’s law for shearing deformations, modulus of rigidity

1.10 Multi-axial loading and generalized Hooke’s law

1.11 Definitions of isotropic, anisotropic and orthotropic materials

1.12 Volumetric stress-strain, bulk modulus

1.13 Relationships between elastic constants

1.14 Saint-Venant’s principle and stress concentrations

1.15 Elongation of bars under axial loadings: Uniform and varying cross-sections, tapered sections, compound and composite bars

1.16 Use of compatibility equations for axially loaded indeterminate bars