Table of Contents
Stresses and Strains
Concept of stress and strain (Linear, Lateral, Shear and volumetric), Hook's law, Elastic constants and their relationship, Stress-strain diagrams for brittle, Elastic and plastic materials, Factor of safety and working stresses, Generalized Hook's law.
Axial force diagram, Stresses, Strains and deformations in determinate and indeterminate structures for homogenous and composite structures under concentrated loads, Self-weight and temperature changes.
Shear Force and Bending Moment Diagram
Concept of shear force and bending moment. Relation between shear force, Bending moment and intensity of loading. Shear force and bending moment diagrams for cantilevers, Simple and compound beams due to concentrated, Uniformly distributed, Uniformly varying loads and couples in determinate beams.
Bending moment and loading diagram from given shear force diagram. Shear force and loading diagram from given bending moment diagram.
Bending and Shear Stresses
Stresses due to bending : Theory of simple or pure bending, Concept and determination of moment of inertia for various cross-sections. Assumptions, Derivation of flexure formula, Bending stress distribution diagrams, Moment of resistance of cross-section flitched beams.
Shear stresses in beams : Concept of shear, Complimentary shear, Derivation of shear stress formula, Shear stress distribution for various cross sections, Maximum and average shear stress for circular and rectangular sections. Shear connectors.
Torsion and Strain Energy
Torsion of circular shafts : Theory of torsion, Assumptions, Derivation of torsion formula. Stresses, Strains and deformations in determinate and indeterminate shafts of hollow, Solid, Homogenous and composite cross-sections subjected to twisting moments. Power transmitted by shafts, Twisting moment diagrams.
Strain energy and impact : Concept of strain energy, Expression of strain energy for axially loaded member under gradual, Sudden and impact loads, Strain energy due to self weight, Bending and torsion.
Principle Stresses and Strains
Principal stresses and strains : Concept of principal planes and principal stresses, Normal and shear stresses on an oblique plane, Magnitude and orientation of principal stresses and maximum shear stress. Mohr's circle for plane stresses.
Combined effect of axial stress, Bending moment, Shear and torsional moments. Theories of failure : Maximum normal stress, Maximum shear stress and maximum strain theory.
Axially and Eccentrically Loaded Columns
Axially loaded columns : Concept of critical load and buckling, Derivation of Euler's formula for buckling load with hinged ends, Concept of equivalent length for various end conditions, Rankine's formula, Safe load on column and limitations of Euler's formula.
Direct and bending stresses for eccentrically loaded short column and other structural components such as retaining walls, Dams, Chimney's etc. Effect of lateral force and self-weigth. Resultant stress diagrams due to axial loads, Uni-axial, and biaxial bending. Concept of core of section for rectangular and circular sections.
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