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Simple Stresses and Strains
Stresses, Strains, Modulus of elasticity (E), Modulus of rigidity (G), Bulk Modulus (K), Yield Stresses, Ultimate Stress, Factor of safety, shear stress, Poisson’s ratio
Relationship between E, G and K, bars of varying sections, deformation due to self- weight, composite sections, temperature stress.
Shear Force and Bending Moment in Beams
Axial force, shear force and bending moment diagrams for statically determinate beams including beams with internal hinges for different types of loading
Relationship between rate of loading, shear force and bending moment.
Theory of Simple Bending
Moment of inertia, transfer theorem, polar moment of inertia
Flexure formula for straight beam, simple problems involving application of flexure formula, section modulus, moment of resistance, flitched beams
Strain energy due to axial force, stresses in axial member and simple beams under impact loading
Shear Stresses in Beams
Distribution of shear stress across plane sections commonly used for structural purposes.
Theory of Simple Torsion
Torsion in circular shafts-solid and hallow, stresses in shaft when transmitting power
Concept of equivalent torsional and bending moment
Direct and Bending Stresses
Application to member’s subjected to eccentric loads, core of section, problems on chimneys, retaining walls, dams, etc. involving lateral loads.
Columns and Struts
Members subjected to axial loading, concept of buckling, Effective length, Euler’s formula for columns and struts with different support conditions, Limitation of Euler’s formula, Rankine’s formula, Problems based on Euler’s and Rankine’s formulae.
Principal Planes and Stresses
General equation for transformation of stress, principal planes and principal stresses, maximum shear stress, stress determination using Mohr’s circle
Thin Cylindrical and Spherical Shells
Thin Cylindrical and spherical shells under internal pressure.
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