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STRENGTH OF MATERIALS (COMMON TO CV/ TR/ EV)

Sub Code : CV - 33 IA Marks : 25

Hrs/ Week : 04 Exam Hours : 03

Total Hrs. : 52 Exam Marks : 100

Simple Stress and Strain

1.1 Introduction1.2 Properties of materials

1.3 Stress, strain, Hooks law

1.4 Poissons Ratio1.5 Stress Diagram for structural steel and non ferrous materials

1.6 Principles of superposition1.7 Total elongation of tapering bars of circular and rectangular cross sections. Elongation

due to self weight1.8 Composite section

1.9 Volumetric strain, expression for volumetric strain1.10 Elastic constants, relationship among elastic constants1.11 Thermal stresses including compound bars

12 Hrs

Compound bars

2.1 Introduction

2.2 Stress components on inclined planes2.3 General two-dimensional stress system

2.4 Principle planes and stresses

2.5 Mohrs circle of stresses05 Hrs

Bending moment and shear force in beams

3.1 Introduction

3.2 Types of beams loadings and supports3.3 Shearing force in beam

3.4 Bending moment3.5 Sign convention

3.6 Relationship between loading shear force and bending moment

3.7 Expression for shear and bending moment equations, SFD and BMD with salient values

for cantilever beams simply supported beams and overhanging beams consideringpoint loads, UDL, UVL and couple.

06 Hrs

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Bending stress and shear stress in beams

4.1 Introduction

4.2 Bending stress in beam4.3 Assumptions in simple bending theory4.4 Pure bending derivation of Bernoullis equation

4.5 Modulus of rupture, section modulus

4.6 Flexural rigidity4.7 Beam of uniform strength

4.8 Expression of horizontal shear stress in beam4.9 Shear stress diagram for rectangular, symmetrical I and T section

(Flitched beams not included)05 Hrs

Deflection of beams

5.1 Introduction5.2 Definitions of slope, deflection

5.3 Elastic curve- derivation of differential equation of flexture5.4 Sign convention slope and deflection for standard loading classes using

Maccualays method for prismatic beams and overhanging beams subjected to pointloads, UDL and couple

06 Hrs

Torsion of circular shafts

6.1 Introduction

6.2 Pure torsion torsion equation of circular shafts6.3 Strength and stiffness

6.4 Torsional rigidity, torsional flexibility and polar modulus

6.5 Power transmitted by shaft solid and hollow circular sections06 Hrs

Elastic stability of columns

7.1 Introduction

7.2 Eulers theory on columns

7.3 Effective length slenderness ration7.4 Short and long columns radius of gyration, buckling load

7.5 Assumptions, derivations of Eulers Buckling load for different end conditions7.6 Limitations of Eulers theory

7.7 Rankines formula06 Hrs

Thin and thick cylinders

8.1 Thin and thick cylinders subjected to pressure change in length, diameter and volume8.2 Lames equations (compound cylinders not included)

06 Hrs

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SCHEME OF EXAMINATION

Chapter 1 2 questions

Chapter 2 1 questionsChapter 3 1 questions

Chapter 4 1 questions

Chapter 5 1 questionsChapter 6 & 7 1 questionsChapter 8 1 questions

Totally 8 questions is to be asked in the examination and the student has to answer any five

questions.

TEXT BOOKS

1. Strength of materials, B.C. Punmia, Ashok Jain, Arun Jain, Lakshmi publications, New Delhi.

2. Strength of materials, Basavarajaiah and Mahadevappa, Khanna Publishers,New Delhi.

3. Strength of materials, Ramamrutham Dhanapath Rai Publishers, New Delhi.

REFERENCE BOOKS:

1. Strength of materials L.S. Srinath, Prakash Desai and Ananth Ramu McMillan publishers,

Chennai.2. Strength of materials, Singer Harper and Row publications.3. Strength of materials, S.S. Bhavikatti Vikas publications House pvt. Ltd.

4. Elements of Strength of materials, Timoshenko and young Affiliated East-West press.