Introduction to objective, scope and outcome of the subject.
Simple Stresses and Strains: Concept of stress and strain in three
dimensions and generalized 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; Stresses in composite members,
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.
Moment of Inertia: Polar and product moment of inertia, Principal axes and
principal moment of inertia
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
Membrane Analysis: Stress and strain in thin cylindrical & spherical shells
under internal pressures.
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, Point of
Contra-flexure, relation between load, SF and BM
Theory of simple bending: Distribution of bending and shear stresses for
simple and composite sections