Mechanics of Solids

Elasticity and plasticity, types of stresses and strains, Hooke's law, stress-strain diagram for mild steel, working stress, factor of safety; Lateral strain, Poisson's ratio and volumetric strain; bars of varying section; composite bars; thermal stresses; Complex stresses; stresses on an inclined plane; principal planes and principal stresses; Mohr's circle; relation between elastic constants; Strain energy, resilience; gradual, sudden, impact and shock loadings

Definition and types of beams; concept of shear force and bending moment; SF and BM diagrams for cantilever, simply supported and overhanging beams; Beams subjected to point loads, UDL, uniformly varying loads and their combinations; Point of contraflexure; relation between SF, BM and rate of loading

Theory of simple bending; derivation of bending equation; bending stresses; Section modulus of rectangular, circular, I and T sections; design of simple beam sections; Torsion of circular shafts; pure shear; transmission of power; Shafts in series and parallel

Shear stress distribution across rectangular, circular, triangular, I and T sections; Deflection of beams: slope, deflection and radius of curvature; differential equation of the elastic line; Double integration and Macaulay's methods for cantilever and simply supported beams; Mohr's theorem and moment area method

Thin cylindrical shells: longitudinal and circumferential stresses; hoop, longitudinal and volumetric strains; thin spherical shells; Wire-wound thin cylinders; Lame's equation; cylinders under inside and outside pressures; compound cylinders; Columns: buckling and stability; Euler's formula and its limitations; Rankine's formula