# Strength of Materials | SE | 2015-Course

## Overview

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Strength of Materials

AbbreviationSOM
Course

Second Year, Semester I

Mechanical and Automobile Engineering

Credits

 Lect/Tut 4 PR/OR 1

Examination Scheme

 In Semester (Online) 50 Marks End Semester Examination (Theory) 50 Marks Oral 50 Marks
LanguageEnglish

## Prerequisites

1. Fundamentals of engineering mechanics
2. Analysis of forces and moments
3. Laws of motion, kinetics, kinematics
4. Algebra and trigonometry

## Course Objectives

To understand

• Mechanical behavior of the body by determining the stresses, strains and deflections produced by the loads up to the elastic limit.
• Fundamental concepts related to deformation, strain energy, moment of inertia, load carrying capacity, slope an deflection of beams, shear forces, bending moments, torsional moments, column and struts, principal stresses and strains and theories of failure

## Course Outcomes

Student should be able to

• Apply knowledge of mathematics, science for engineering applications
• Design and conduct experiments, as well as to analyze and interpret data
• Design a component to meet desired needs within realistic constraints of health and safety
• Identify, formulate, and solve engineering problems
• Practice professional and ethical responsibility
• Use the techniques, skills, and modern engineering tools necessary for engineering practice

## Syllabus and Notes

### Unit I: Simple stresses and strains

• Stress, strain, 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, homogeneous and composite bars under concentrated loads and self weight.
• Temperature stresses in simple members.

### Unit II: Shear Force and Bending Moment Diagrams

• Shear force and bending moment diagrams for statically determinate beam due to concentrated load, uniformly distributed load, uniformly varying load and couple, Relationship between rate of loading, shear force and bending moment.
• Maximum bending moment and position of points of contra flexure.

### Unit III: Stresses in Machine Elements

• Bending stresses : Theory of simple bending, assumptions, derivation of flexural formula, second moment of area of common cross sections (rectangular, I,T,C ) with respect to centroidal and parallel axes, bending stress distribution diagrams, moment of resistance and section modulus.
• Shear stresses: Concept, derivation of shear stress distribution formula, shear stress distribution diagrams for common symmetrical sections, maximum and average shears stresses, shear connection between flange and web.

### Unit IV: Beams and Strain Energy

• Slope and deflection of beams: Relation between bending moment and slope, slope and deflection of determinate beams, double integration method (Macaulay’s method), derivation of formula for slope and deflection for standard cases.
• Strain energy: Strain energy due to axial load (gradual, sudden and impact), strain energy due to bending and torsion.

### Unit V: Torsion and Bucking

• Torsion: Stresses, strain and deformations in determinate shafts of solid and hollow, homogeneous and composite circular cross section subjected to twisting moment, derivation of torsion equation, stresses due to combined torsion, bending and axial force on shafts.
• Buckling of columns: Concept of buckling of columns, derivation of Euler’s formula for buckling load for column with hinged ends, concept of equivalent length for various end conditions, limitations of Euler’s formula, Rankine’s formula, safe load on columns

### Unit VI: Principal Stresses, Strains and Elastic Failure

Principal stresses and strains:

• Normal and shear stresses on any oblique plane.
• Concept of principal planes, derivation of expression for principal stresses and maximum shear stress, position of principal planes and planes of maximum shear.
• Graphical solution using Mohr’s circle of stresses.
• Principal stresses in shaft subjected to torsion, bending moment and axial thrust (solid as well as hollow),
• Concept of equivalent torsional and bending moments.

Theories of elastic failure:

• Maximum principal stress theory, maximum shear stress theory, maximum distortion energy theory – their applications and limitations.

## List of Practicals

(Any 6 out of 1 to 8 and any 2 out of 9 to 11)

1. Tension test for aluminum alloy and mild steel using extensometer.
2. Tension test for brass using extensometer
3. Shear test of ductile material on Universal Testing Machine.
4. Experimental verification of flexural formula in bending for cantilever beam.
5. Experimental verification of flexural formula in bending for simply supported beam.
6. Measurement of stresses and strains in beams for different end conditions using strain gauges.
7. Experimental verification of torsion formula for circular bar.
8. Experimental verification of von Mises theory of failure.Graphical simulation of - (using suitable software like MD-Solids, Matlab, MS-Excel etc.)
9. Shear force and bending moment diagrams with different end of.
10. Slope and deflection.
11. Principal stresses through graphical and analytical method.

## Multiple Choice Questions

 Online Phase-I ( 25 Marks) Unit-1 Simple Stresses and Strain Unit-2 Shear force and Bending Moment Diagrams Online Phase-II (25 Marks) Unit-3 Stresses in Machine Elements Unit-4 Slope amd Deflection of Beams, Strain Energy

## References

• MCQ's by Prof Jayant Sir, and Prof. Purekar Prashant, Pune
• WikiNote Foundation
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Created by Vishal E on 2019/01/11 09:08

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