Unit - I Simple Stresses and Strains: Elasticity and plasticity - Types of stresses & strains-Hooke’s law- stress - strain diagram for mild steel - Working stress - Factor of safety - Lateral strain, Poisson’s ratio and volumetric strain - Elastic moduli and the relationship between them - Bars of varying section - composite bars - Temperature stresses. Strain energy - Resilience -Gradual, sudden, impact and shock loadings. (Chapter - 1) UNIT - II Shear Force and Bending Moment: Definition of beam - Types of beams - Concept of shear force and bending moment - S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, u.d.l., uniformly varying loads and combination of these loads - Point of contra flexure - Relation between S.F., B.M and rate of loading at a section of a beam. (Chapter - 2) UNIT - III Flexural Stresses: Theory of simple bending - Assumptions - Derivation of bending equation: M/I = f/y = E/R Neutral axis - Determination bending stresses - section modulus of rectangular and circular sections (Solid and Hollow), I,T, Angle and Channel sections - Design of simple beam sections. Shear Stresses: Derivation of formula - Shear stress distribution across various beams sections like rectangular, circular, triangular, I, T angle sections. (Chapter - 3) UNIT - IV Principal Stresses and Strains: Introduction - Stresses on an inclined section of a bar under axial loading - compound stresses - Normal and tangential stresses on an inclined plane for biaxial stresses - Two perpendicular normal stresses accompanied by a state of simple shear - Mohr’s circle of stresses - Principal stresses and strains - Analytical and graphical solutions.. (Chapter - 4) UNIT - V Torsion of Circular Shafts: Theory of pure torsion -Derivation of Torsion equations
