SOM2 (B-TECH Mechanical Engineering 7-8th)

Unit I Strain Energy & Impact Loading: Definitions, expressions for strain energy stored in a body when load is

applied (i) gradually, (ii) suddenly and (iii) 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, Numericals.

Unit II Theories of Elastic Failure: Various theories of elastic failures with derivations and graphical

representations, applications to problems of 2- dimensional stress system with (i) Combined direct loading

and bending, and (ii) combined torsional and direct loading, Numericals.

Unit III Unsymmetrical Bending: Properties of beam cross section, product of inertia, ellipse of inertia, slope of

the neutral axis, stresses & deflections, shear center and the flexural axis Numericals.

Unit IV Thin Walled Vessels : Hoop & Longitudinal stresses & strains in cylindrical & spherical vessels & their

derivations under internal pressure, wire would cylinders, Numericals.

Unit V Thick Cylinders & Spheres : Derivation of Lame’s equations, radial & hoop stresses and strains in thick,

and compound cylinders and spherical shells subjected to internal fluid pressure only, wire wound

cylinders, hub shrunk on solid shaft, Numericals.

Unit VI Rotating Rims & Discs: Stresses in uniform rotating rings & discs, rotating discs of uniform strength,

stresses in ( I) rotating rims, neglecting the effect of spokes, (ii) rotating cylinders, hollow cylinders &

solids cylinders. Numericals.

Unit VII Bending of Curved Bars : Stresses in bars of initial large radius of curvature, bars of initial small radius of

curvature, stresses in crane hooks, rings of circular & trapezoidal sections, deflection of curved bars &

rings, deflection of rings by Castigliano’s theorem stresses in simple chain link, deflection of simple chain

links, Problems.

Unit VIII Springs: Stresses in open coiled helical spring subjected to axial loads and twisting couples, leaf springs,

flat spiral springs, concentric springs, Numericals.