Unit - I Moment of Inertia 1.1 Moment of Inertia (M.I.) : definition, M.I. of plane lamina, radius of gyration, section modulus, parallel and perpendicular axes theorems (without derivation), M.I. of rectangle, square circle, semi circle, quarter circle and triangle section (without derivation). 1.2 M.I. of symmetrical and unsymmetrical I-section, channel section, T-section, angle section and hollow sections and built up section about centroidal axes and any other reference axis. 1.3 Polar Moment of Inertia of solid circular sections. Unit - II Simple Stresses and Strains 2.1 Concept of rigid, elastic and plastic bodies, deformation of elastic body under various forces, definition of stress, strain elasticity, Hook's law, elastic limit, modulus of elasticity, SI units. 2.2 Type of stresses-normal, direct, bending and shear and nature of stresses i.e. tensile and compressive stresses. 2.3 Standard stress strain curve for mild steel bar and tor steel bar under tension test, Yield stress, proof stress, ultimate stress, breaking stress and working stress, strain at various critical points, percentage elongation and Factor of safety. 2.4 Deformation of body due to axial force, forces applied at intermediate sections, deformation of body of stepped cross section due to axial load, maximum stress and minimum stress induced. 2.5 Concept of composite section, conditions to have a section composite, stresses induced and load shared by materials under axial loading. 2.6 Concept of temperature stresses and strain, stress and strain developed due to temperature variation in homogeneous simple bar. (no composite section) 2.7 Introduction to strain energy and types of readings such as gradually applied load, suddenly applied load and impact load only. Unit - III Elastic Constants 3.1 Longitudinal and lateral strain, Poisson's ratio, biaxial and triaxial stresses, volumetric strain, change in volume, Bulk modulus. 3.2 Shear stress and strain, modulus of rigidity, simple and complementary shear stress. 3.3 Concept of single shear, double shear and punching shear. 3.4 Relation between modulus of elasticity, modulus of rigidity and bulk modulus. Unit - IV Shear Force and Bending Moment 4.1 Types of supports, beams and loads. 4.2 Concept and definition of shear force and bending moment, relation between load, shear force and bending moment 4.3 Shear force and bending moment diagram for cantilever and simply supported beams subjected to point loads, uniformaly distributed loads and couple, point of contra shear and point of contra flexure. 4.4 Shear force and bending moment diagram for overhanging beams subjected to, point loads, uniformly distributed loads only. Point of contra shear and point of contra flexure. Unit - V Bending and Shear Stresses in Beams 5.1 Concept and theory of pure bending, assumptions, flexural, meaning of term used in equation, bending stresses and their nature, bending stress distribution diagram. 5.2 Concept of moment of resistance and using flexure equation. 5.3 Shear stress equation, meaning of term used in equation, relation between maximum and average shear stress for rectangular and circular section, shear stress distribution diagram. 5.4 Shear stress distribution for square, rectangular, circle, hollow square, rectangular, circle, angle sections, channel section, I-section, T sections. Unit - VI Columns 6.1 Concept of compression member, short column, long column, effective length, radius of gyration, slenderness ratio, type of end conditions for columns, buckling of axially loaded columns. 6.2 Euler's theory, assumptions made in Euler's theory and its limitations. Application of Euler's equation to calculate buckling load. 6.3 Rankin's formula and its application to calculate crippling load. 6.4 Concept of working load/safe load, design load and factor of safety.
