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SYLLABUS:-

SECTION A
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.
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.

SECTION B
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.
Thin Walled Vessels : Hoop & Longitudinal stresses & strains in cylindrical & spherical vessels & their derivations under internal pressure, wire would cylinders, Numericals.

SECTION C
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.
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.

SECTION D
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.
Springs: Stresses in open coiled helical spring subjected to axial loads and twisting couples, leaf springs, flat spiral springs, concentric springs, Numericals.