This course provides the knowledge of basic stress & strain, shear force & bending moment diagram and Behaviour of beams under lateral loads.
Introduction of materials - Materials, Strength of materials, Strength, Rigid body vs deformable body, Mechanics of deformable bodies, Mechanical properties of materials, Elasticity, Brittleness, Hardness, stress, strain. Types of loads, stress and strain – Load, According to the manner of application, According to the effect produced, Types of stresses, tensile force, Types of strains, tensile strain. Statement of Hooke's Law and Elastic constant - Hooke's law, Elastic constants, Modulus of elasticity, Modulus of rigidity, Bulk modulus. Stress-Strain Diagram for ductile materials - Stress - strain diagram for ductile material, Features of stress - strain curve. Problems based on stress and strain in uniform cross section bars. Lateral strain, Poisson's ratio and factor of safety - Lateral strain, Poisson's ratio, Factor of safety. Elastic constants and their relations - Elastic constants, Relation between young's modulus 'E' and rigidity modulus 'C’, Relation between young's modulus 'E' and Bulk modulus 'K', Relation between young's modulus 'E' , rigidity modulus 'C' and Bulk modulus 'K', Problems based on elastic constant - rectangular steel bar. Analysis on varying cross sections - Bars of varying cross – sections, Problems based on bars of varying cross, Bars subjected to varying loads, Problem based on subjected to varying loads. Volumetric strain of different cross – sections - Volumetric strain, Problem based on volumetric strain. Temperature Stresses and Strains - Temperature Stresses and Strains, Problems based on temperature Stresses and Strains, Thermal stresses in composite bars, Problem based on thermal stresses in composite bars.
Principal Stresses and Strains - Trigonometry Recapitulation, Stress in Inclined Cross Section, Problem based on normal and shear stress, Material Subjected to Pure Shear, Material Subjected to Two Mutually Perpendicular Normal Stresses, Principal Stress and Principal Planes, Material Subjected to Combined Normal and Shear Stresses, Maximum Shear stress, Principal Plane inclination in terms of associated Principal Stresses, Problem based on principle stress, Plane Strain, Principal Strain, Principal Strain in terms of Stress, Exercise 1, Exercise 2. Mohr's Circle - Mohr's Circle, Construction of Mohr's Circle, Problem based on Mohr's Circle, Exercise 1, Exercise 2.
Introduction to strain energy – Definition of strain energy, proof resilience, Strain energy, Resilience, Strain energy – gradual load, Problems based on strain energy, Maximum instantaneous stress due to suddenly applied loading, Problems based on maximum instantaneous stress due to suddenly applied loading. Impact and shock loading - Impact loading, Problems based on impact loading, Shock loading, Problem based on shock loading.
Introduction to beam – Beam definition, Examples of beam, Classification of beams, Geometric forms of beams, Classification of beams based on support, Types of loads on beams. Shear force and bending moment for cantilever beams - Shear force and bending moment in beams, Shear force sign convention, Bending moment sign convention, Shear force and bending moment diagram, Cantilever beam subjected to concentrated load, Cantilever subjected to UDL, Cantilever subjected to UDL and concentrated load, Cantilever subjected to UDL for part of beam, Problem based on s.f and b.m diagrams for cantilever beam, Cantilever subjected to UVL o to w, Cantilever subjected to UVL w to o, Problems based on s.f and b.m diagrams for cantilever beam. Shear force and bending moment for simply supported beams - Concentrated load at mid span, concentrated load placed unsymmetrically, Problem based on simply supported beams, UDL over whole span, Problem based on simply supported beams, UVL o to w at other end, UVL o to w at mid end, Relation between Load, Shear force and Bending moment, Point of contra flexure, Problems based on simply supported beams. Shear force and bending moment for overhanging beam - Shear force and bending moment for overhanging beam, Problem based on left overhanging beam, Problem based on right overhanging beam.
Simple bending Theory – Bending stress, Theory of simple bending, Pure bending, Moment of resistance, Derivation of bending equation, Bending stress in symmetrical and unsymmetrical section. Section modulus - Section modulus, Symmetrical and unsymmetrical section, Section modulus for square section, Section modulus for rectangular section, Section modulus for circular section, Section modulus for triangular section, Other symmetrical sections, Other unsymmetrical sections. Problems based on section modulus. Problems based on bending equation. Design of simple beam sections - Problems based on design of symmetrical section for given load. Bending of curved beams - Bending stress calculation in curved beams, Example for curved beams. Composite or Flitched Beam - Composite or Flitched Beam, Bending of Flitched Beam, Problems based on composite beam.
Shear stress distribution – Introduction to shear stress, Shearing stress variation on beam, Shear stress in rectangular section, Shear stress in circular section, Shear stress in symmetrical I-section, Shear stress in triangular section. Problems based on shear stress distribution - Problems based on shear stress distribution, Problems based on shear stress distribution across the section, Problems based on shear stress: T-section. Shear flow - Shear flow.
