STRENGTH OF MATERIALS

Objectives:
- The objective of this subject is to provide the basic concepts of mechanical behavior of the different materials.
- Student able to know about different loads.
- Student able to learn about different stresses and strains.

UNIT-I
Simple Stresses & Strains : Elasticity and plasticity â?? Types of stresses & strainsâ??Hookeâ??s law â?? stress â?? strain diagram for mild steel â?? Working stress â?? Factor of safety â?? Lateral strain, Poissonâ??s ratio & volumetric strain â?? Elastic moduli & the relationship between them â?? Bars of varying section â?? composite bars â?? Temperature stresses. Strain energy â?? Resilience â?? Gradual, sudden, impact and shock loadings.

UNIT-II
Shear Force and Bending Moment: Definition of beam â?? Types of beams â?? Concept of shear force and bending moment â?? S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, u.d.l., uniformly varying loads and combination of these loads â?? Point of contra flexure â?? Relation between S.F., B.M and rate of loading at a section of a beam.

UNIT-III
Flexural Stresses: Theory of simple bending â?? Assumptions â?? Derivation of bending equation: M/I = f/y = E/R Neutral axis â?? Determination bending stresses â?? section modulus of rectangular and circular sections (Solid and Hollow), I,T,Angle and Channel sections â?? Design of simple beam sections.
Shear Stresses : Derivation of formula â?? Shear stress distribution across various beams sections like rectangular, circular, triangular, I, T angle sections.

UNIT-IV
Analysis of Pin-Jointed Plane Frames : Determination of Forces in members of plane, pin jointed, perfect trusses by (i) method of joints and (ii) method of sections. Analysis of various types of cantilever & simplyâ??supported trusses-by method of joints, method of sections & tension coefficient methods.
Deflection of Beams: Bending into a circular arc â?? slope, deflection and radius of curvature â??Differential equation for the elastic line of a beam â?? Double integration and Macaulayâ??s methods â??Determination of slope and deflection for cantilever and simply supported beams subjected to point loads,- U.D.L uniformly varying load. Mohrâ??s theorems â?? Moment area method â?? application to simple cases including overhanging beams.

UNIT-V
Torsion of Circular Shafts: Theory of pure torsion, Derivation of torsion equations: T/J=q/r=Nθ/L- Assumptions made in theory of pure torsion-Torsional moment of resistance â?? Polar section modulus â?? Power transmitted by shaft s
Thin Cylinders: Thin seamless cylindrical shells â?? Derivation of formula for longitudinal and circumferential stresses â?? hoop, longitudinal and Volumetric strains â?? changes in dia, and volume of thin cylinders â?? Riveted boiler shells â?? Thin spherical shells.

TEXT BOOKS:
1. Strength of materials by Bhavikatti, Lakshmi publications.
2. Solid Mechanics, by Popov
3. Strength of Materials by S.Timshenko
REFERENCE BOOKS:
1. Strength of Materials -By Jindal, Umesh Publications.
2. Analysis of structures by Vazirani and Ratwani.
3. Mechanics of Structures Vol-III, by S.B.Junnarkar.