3CE1

STRENGTH OF MATERIALS AND MECHANICS OF STRUCTURES – I

L-3, T-1

UNIT 1

Simple Stresses  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.

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.

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.