Mechanics of Structures syllabus

Simple stress and strain: Introduction to types of loads (static, dynamic, and impact loading) and various types of stresses with applications; Hooke’s law, Poisson’s ratio, modulus of elasticity, modulus of rigidity, bulk modulus. Interrelation between elastic constants; stress-strain diagram for ductile and brittle materials; factor of safety; stresses and strains in determinate and indeterminate beams, homogeneous and composite bars under concentrated loads and self-weight; thermal stresses in plain and composite members.

Shear force and bending moment diagrams: Introduction to shear force (SFD) and bending moment diagrams (BMD); SFD and BMD for statically determinate beams due to concentrated load, uniformly distributed load, and combined loading; relationship between rate of loading, shear force, and bending moment; concept of zero shear force, maximum bending moment and point of contra-flexure.

Bending stress on a beam: Theory of simple bending; bending stress distribution along unsymmetrical I and T sections. Shear stress on a beam: Introduction to transverse shear stress on a beam with application; shear stress distribution diagram along unsymmetrical I and T sections. Slope and deflection on a beam: Macaulay method for different types of loading and end conditions.

Torsion of circular shafts: Basic torsion formulae and assumption in torsion theory, Torque transmission on strength and rigidity basis, Shaft subject to bending and combined loading, Equivalent torque, Design of propeller shaft and axle. Buckling of columns, various end conditions. Analysis of columns and structs by Euler, Rankine and Johnson theories.

Principal stresses: Transformation of plane stress; analysis of principal stresses and planes by analytical method only. Theories of elastic failure: Maximum principal stress theory, maximum shear stress theory, maximum distortion energy theory and applications. Comparison of various theories of failure.