Strength of Materials

Elasticity and plasticity; types of stresses and strains; Hooke's law; Factor of safety; Poisson's ratio; Relationship between elastic constants; Bars of varying section; stresses in composite bars

Definition and types of beams; point of contraflexure; Relation between shear force, bending moment and rate of loading; SF and BM diagrams for cantilever, simply supported and overhanging beams; Beams under point loads, UDL, uniformly varying loads, partial UDL, couple and combinations

Theory of simple bending: assumptions, derivation of bending equation, neutral axis; Section modulus of rectangular, circular (solid and hollow), I, T, angle and channel sections; design of beams; Shear stress distribution across rectangular, circular, I, T and angle sections; Torsion of circular shafts

Double integration and Macaulay's methods; Slope and deflection for cantilever, simply supported and overhanging beams; Beams under point loads, UDL, UVL, partial UDL, couple and combinations; Mohr's theorems and moment area method

Classification of columns; Euler's crippling load theory for various end conditions; equivalent length and slenderness ratio; Limitations of Euler's theory; Rankine-Gordon formula; eccentric loading, secant and Perry's formula; Thin cylindrical shells: longitudinal and circumferential stresses; hoop, longitudinal and volumetric strains; Lame's theory for thick cylinders; distribution of hoop and radial stresses; compound cylinders