B.Tech. III Sem CIVIL Engineering

III SEMESTER

3CE1. STRENGTH OF MATERIALS AND MECHANICS OF STRUCTURES – I

UNIT 1 Simple Stressed and Strains : Concept of stress and strain in three dimensions and generalized Hooke’s law; Direct stress and strain: free body diagrams, Hooke’s law, Young’s modulus; Tension test of mild steel and other materials: true and apparent stress, ultimate strength, yield stress and permissible stress; Stresses in prismatic & non prismatic members and in composite members; Thermal stresses; Shear stress, Shear strain, Modulus of rigidity, Complementary shear stress; Poisson’s ratio, Volumetric strain, Bulk modulus, relation between elastic constants; Strain energy for gradually applied, suddenly applied and impact loads.

UNIT 2 Compound Stress : Two dimensional stress system: stress resultant, principal planes and principal stresses, state of pure shear maximum shear stress, Mohr’s circle & it’s application.

UNIT 3 Centroid and Moment of Inertia : First moment of area, Centroid and moment of inertia of symmetrical & unsymmetrical sections, radius of gyration, polar moment of inertia, product moment of inertia, parallel axis theorem, principal axes and principal moment of inertia. Plane trusses : Simple pin jointed trusses and their analysis: method of joints, method of section and introduction to computer methods.

UNIT 4 Bending of Beams : Types of supports, support reactions, determinate and indeterminate structures, static stability of plane structures; Bending moment, Shear force and Axial thrust diagrams for statically determinate beams subjected o various types of loads and moments.

UNIT 5 Theory of simple bending: Distribution of bending and shear stresses for simple and composite sections; Shear center and its location in flanged sections.

Introduction to unsymmetrical bending.

Columns : Short and long columns, slenderness ratio, crushing and buckling of column, short column subjected to axial and eccentric loads; Euler’s theory and its limitation, concept of effective length of columns; Rankine & Secant formulae.