Unit I: Simple Stresses and Strains (06 Hours) a) Materials used in construction and their nature, Hook’s Law, Stress-Strain Diagram for elastic, plastic materials and brittle material, Idealized stress-strain diagram, Concept of axial stresses (compression, tension), strains (linear, lateral, shear and volumetric), Elastic constants and their relations. Stresses and strains due to change in temperature. b) Stresses, strains and deformations in determinate and indeterminate structures for homogeneous and composite structures under concentrated loads and temperature changes. Unit II: Shear Force and Bending Moment Diagram (06Hours) Concept of shear force and bending moment. Relation between shear force, bending moment and intensity of loading. Shear force and bending moment diagrams for determinate beams due to concentrated, uniformly distributed, uniformly varying loads and couples. Bending moment and loading diagram from given shear force diagram. Unit III: Shear and Bending Stresses (06Hours) a) 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. b) Bending stresses in beams: theory of simple or pure bending, assumptions, derivation of flexure formula, bending stress distribution diagrams, Moment of Resistance of cross-section. Unit IV: Torsion of Circular Shafts and Principal Stresses and Strains (06Hours) a) Torsion of circular shafts: theory of torsion, assumptions, derivation of torsion formula. Stresses, strains and deformations in determinate and indeterminate shafts of hollow, solid, homogeneous cross- sections subjected to twisting moments. Power transmitted by shafts. b) 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. Unit V: Axially and Eccentrically Loaded Columns. (06 Hours) a) Axially loaded columns: concept of critical load and buckling, 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. b) Direct and bending stresses for eccentrically loaded short column and other structural components such as retaining walls, dams, chimneys, etc. Effect of lateral force and self-weight. Resultant stress diagrams due to axial loads, uni-axial, and bi-axial bending. Concept of core of section for solid and hollow rectangular and circular sections. Unit VI: Slope and Deflection of Beams and Trusses (06Hours) a) Slope and deflection of determinate beams by Macaulay’s method and Strain energy method, Castigliano’s first theorem. Joint displacement of determinate trusses by Unit load method. Note: Only the concept explanation can be taught through Online teaching mode, however, the problem solving is to be done in offline mode.
