# Strength of Materials, Vol. 1 A Practical Approach

by D.S. Prakash RaoUsually Ships in 4 Days.

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## Book Information

Publisher: | Universities Press (India) Pvt. Ltd. |

Published In: | 2006 |

ISBN-10: | 8173711259 |

ISBN-13: | 9788173711251 |

Binding Type: | Paperback |

Weight: | 2.12 lbs |

Pages: | pp. xvi + 664, Figures, Tables, Index, Appendices |

The Title "Strength of Materials, Vol. 1 A Practical Approach" is written by D.S. Prakash Rao. This book was published in the year 2006. The ISBN number 8173711259|9788173711251 is assigned to the Paperback version of this title. This book has total of pp. xvi + 664 (Pages). The publisher of this title is Universities Press (India) Pvt. Ltd.. We have about 815 other great books from this publisher. Strength of Materials, Vol. 1 A Practical Approach is currently Available with us.

## Related Books

## About the Book

The book, written in SI units with standard notation and conventions, incorporates the recent developments in structural forms and systems. It presents a gradual transition to theory of structures from the elementary theories of solid mechanics. The Book provides study material for the second and third years of the four-year degree courses in Engineering and architecture.

1. Structural systems, such as determinate frames, shells, folded plates, composite beams and box girders are included.

2. The behaviour of various engineering materials is explained.

3. Various theories, their applications and limitations are presented with clarity.

4. Historical development of the subject is included.

5. Illustrated profusely with over 400 lucid figures, 300 solved examples, 650 exercise problems and about 300 short questions with multiple choices.

## About the Author

Prof. D.S. Prakash Rao has over thirty years of research, design and teaching experience. He has worked with several organisations in India and overseas, was associated with projects on a wide range of subjects, and has authored several research papers, reports and books. Dr Rao is the recipient of several awards including the Bharat Ratna Sir Mokshagundam Visveshvaraya award for his outstanding contribution to the engineering profession. He is presently with the Civil Engineering Department, University College of Engineering, Hyderabad.

## Contents

Preface

1. Introduction :

Introduction

i. Historical Review

ii. System of Units

iii. Conventions and Notation :

a. Forces and Moments

b. Coordinate System

c. Displacements, Rotations and Deformations

d. Supports

iv. External Forces on a Body :

a. Direct Forces

b. Transverse Forces

c. Equilibrium of a Body

v. Internal Forces of a Body

vi. Free Body Diagrams

vii. Equivalent Force Systems

viii. Deformations of Bodies :

a. Elasticity of Materials

b. Other Assumptions

ix. Testing Methods

x. Standard Codes of Practice

xi. Summary

I. DIRECT STRESSES :

Introduction

1. Stress

2. Strain

3. Hooke's Law and Young's Modulus

4. Stress-Strain Behaviour of Materials :

i. Mild Steel

ii. High Strength Steels

iii. Concrete

iv. Other Materials

v. Ductility

vi. Elastic and Plastic Ranges

5. Factor of Safety

6. Elongation of a Bar

7. Principle of Superposition

8. Members with Varying Cross Section

9. Compound Bars :

i. Stresses in Compound Bars

ii. Apparent Elasticity Modulus

10. Thermal Stresses :

i. Thermal Stresses in Simple Bars

ii. Thermal Stresses in Compound Bars

11. Poisson's Ratio

12. Bulk Modulus

13. Non-Linear Elasticity

14. Summary

15. Exercises

II. IMPACT LOADING AND STRAIN ENERGY :

Introduction

1. Impact Loading

2. Work and Energy of a System :

i. External Work

ii. Internal Work

iii. Energy Principle

3. Impact Loads

4. Summary

5. Exercises

III. SHEAR STRESSES :

Introduction

1. Types of Direct Shear

2. Shear Stress

3. Complementary Shear

4. Shear Strain

5. Rigidity Modulus

6. Joints in Steel Structures :

i. Riveted and Bolted Joints

a. Strength in Shear

b. Strength in Bearing

c. Strength in Tearing

ii. Efficiency of Joints

7. Welded Joints

8. Strain Energy

9. Summary

10. Exercises

IV. STRESS AND STRAIN ANALYSIS :

Introduction

1. Conventions and Notation

i. Direct Stresses

ii. Shear Stresses

iii. Inclination of Planes

2. Simple Stress Condition

3. Pure Shear Stress

4. Bi-Axial Stress Condition

5. General Stress Analysis (Combined Biaxial and Shear Stresses)

6. Relation between Young's Modulus and Rigidity Modulus

7. Mohr's Stress Circle :

a. Negative Shear Stresses

8. Three-Dimensional Stress Analysis :

i. Stresses at a Point

ii. Principal Stresses and Planes

iii. Mohr's Circle

9. Strain Analysis :

i. Strains in an Arbitrary Direction

ii. Principal Strains

iii. Mohr's Strain Circle

iv. Principal Stresses from Strains

10. Failure Theories :

i. Maximum Principal Stress Theory (Rankine's Theory)

ii. Maximum Shear Stress Theory (Tresca's, Coulomb's, Guest's Theory)

iii. Maximum Shear Strain Energy Theory (Mises', Huber's and Hencky's Theory)

iv. Maximum Strain Energy Theory (Haigh's Theory)

v. Maximum Principal Strain Theory (St. Venant's Theory)

vi. Comparison of the Theories

11. Summary

12. Exercises

V. ANALYSIS OF BEAMS :

Introduction

1. Types of Beams

2. Loading on Beams

3. Forces on a Beam Section :

i. Shear Force and Bending Moment

ii. Convention for Shear Force and Bending Moment

iii. Bending Moment and Shear Force Diagrams

4. Relation between Load, Shear Force and Bending Moment :

i. Relation between Load and Shear Force

ii. Relation between Shear Force and Bending Moment

5. Summary

6. Exercises

VI. FLEXURAL ANALYSIS OF BEAMS :

Introduction

1. Assumptions of Bending Theory

2. Euler-Bernoulli's Bending Equation

3. Moment of Inertia :

i. Theorem of Parallel Axes

ii. Theorem of Perpendicular Axes

4. Moments of Inertia of Arbitrary Sections :

i. Alternative Method

5. Moments of Inertia about Arbitrary Axes

6. Moments of Inertia of a Rectangle about Arbitrary Axes

7. Composite Beams :

i. Analysis of Composite Beams

ii. Flexural Rigidity of Beams

8. Flexural Shear Stresses :

i. Shear Stress Analysis

ii. Distribution of Shear Stresses

iii. Transverse and Longitudinal Shear

iv. Shear Centre

9. Section Modulus

10. Radius of Gyration and Slenderness Ratio

11. Non-Linear Elasticity

12. Summary

13. Exercises

VII. COMBINED STRESSES :

Introduction

1. Analysis :

i. Eccentricity in one Direction

ii. Eccentricity in two Directions

2. Kern of a Section :

i. Rectangular Section (Middle Third Rule)

ii. Circular Section (Middle Quarter Rule)

3. Non-Prismatic Members

4. Prestressed Structures

5. Summary

6. Exercises

VIII. TORSIONAL STRESSES :

Introduction

1. Torsion Analysis :

i. Assumptions of Torsion Analysis

ii. Torsion Equation

iii. Polar Moment of Inertia :

a. Solid Circular Section

b. Hollow Circular Section

c. Thin Circular Tube

d. Longitudinal Stresses in Shafts

2. Strain Energy in Elastic Shafts

3. Power Transmission by Shafts

4. Non-Prismatic Shafts

5. Non-Circular Sections :

i. Rectangular Section

ii. Flanged Beams

6. Thin-walled closed sections 287

7. Comparison of Open and Closed Sections

8. Multi Cell Closed Sections

9. Combined Torsion and Bending :

i. Solid Circular Shafts

ii. Other Sections

10. Compound shafts

11. Shaft Couplings :

i. Sleeve Coupling

ii. Hanged Coupling

iii. Efficiency of Couplings

12. Shear Keys

13. Summary

14. Exercises

IX. DEFLECTIONS IN BEAMS :

Introduction

1. Beam Differential Equation

2. Boundary Conditions :

i. Fixed end Conditions

ii. Simply Supported end Conditions

iii. Intermediate Support Conditions

iv. Section of Symmetry

v. Section of Antimetry

3. Method of Integration :

i. Direct Method

ii. Macaulay's Method

iii. Limitations of the Method

4. Moment Area Method :

i. Theorem I

ii. Theorem II

iii. Limitations of the Method

5. Conjugate Beam Method :

i. Theorem I

ii. Theorem II

iii. Limitations of the Method

6. Energy Methods :

i. Strain Energy due to Bending :

a. Flexural Direct Stresses

b. Flexural Shear Stresses

ii. Application of Energy Methods

iii. Limitations of the Method

7. Reciprocal Theorem :

i. Maxwell's Theorem

ii. Maxwell-Betti's Theorem

8. Flexural and Torsional Effects

9. Summary

10. Exercises

X. Statically Indeterminate Beams :

Introduction

1. Methods of Analysis

2. Direct Method of Analysis

3. Points of Inflection

4. Method of Flexibility Coefficients :

i. Determinate forms of a Structure

ii. Compatibility Conditions

iii. Procedure of Analysis

iv. Limitations of the Method of Flexibility Coefficients

5. Theorem of Three Moments :

i. Development of the Theorem

ii. Procedure of Analysis

iii. Limitations of the Method

6. Computation of Shear Forces

7. Advantages and Disadvantages of Indeterminate Beams

8. Summary

9. Exercises

XI. DETERMINATE ARCHES AND FRAMES :

Introduction

1. Arches :

i. Pressure Lines

ii. Eddy's Theorem

iii. Three-Hinged Parabolic Arches

iv. Axial Force and Radial Shear Force

v. Three-Hinged Circular Arches

2. Frames :

i. Analysis of Frames

ii. Conventions and Notation

3. Summary

4. Exercises

XII. TRUSSES :

Introduction

1. Assumptions of Truss Analysis

2. Configurations of Plane Trusses :

i. Roof Trusses

ii. Bridge Trusses

3. Statical Indeterminacy of Trusses

4. Conventions and Notation

5. Analysis of Plane Trusses :

i. Method of Joints

ii. Method of Sections

iii. Method of Tension Coefficients :

a. The concepts of Tension Coefficients

b. The Procedure

6. Space Trusses :

i. Degree of Redundancy

ii. Analysis of Space Trusses

7. Members of Zero Forces :

i. Plane Trusses

ii. Space Trusses

8. Advantages and Disadvantages of Trusses

9. Summary

10. Exercises

XIII. CYLINDERS AND SPHERICAL SHELLS :

Introduction

1. Thin Cylinders :

i. Assumptions of Analysis

ii. Analysis

2. Thin Spheres

3. Thin Cylinders with Spherical Ends

4. Volumetric Strain

5. Prestress in Cylinders :

i. Circumferential Prestress

ii. Longitudinal Prestress

6. Cylinders under Combined Loading

7. Thick Cylinders :

i. Assumptions

ii. Analysis :

a. External Pressure is Zero

b. Error in Thin Cylinder Theory

8. Design of Cylinders :

i. Maximum Principal Stress Criterion

ii. Maximum Shear Stress Criterion

iii. Maximum Shear Strain Energy Criterion

iv. Maximum Strain Energy Criterion

v. Maximum Principal Strain Criterion

9. Compound Cylinders :

i. Analysis

ii. Diametral Interference

10. Spherical Shells :

i. Analysis

ii. Shells under Crown Load

iii. Shell under Self-Weight

iv. Shell under Snow-Loading

11. Summary

12. Exercises

XIV. COLUMNS AND STRUTS :

Introduction

1. Axially Loaded Long Columns :

i. Column with both Ends Hinged :

a. Euler's Curve

b. Critical Length of Columns

c. Elastic Instability

ii. Columns with both ends Fixed

iii. Columns with one end fixed and the other Hinged

iv. Columns with one end fixed and the other free

v. Buckling Load for General end Conditions

2. Long Columns with Eccentric Loading :

i. Columns with Hinged Ends

ii. Columns with one end Fixed and the other Free

iii. Hinged columns with Eccentric Load at one end

3. Struts with Lateral Loading :

i. Struts with a Lateral Mid-Span Load

ii. Struts with Lateral Distributed Load

iii. Struts with Lateral Distributed Load and Eccentric Axial Load

4. Columns with Initial Curvature

5. Limitations of Euler's Theory

6. Empirical Formulae :

i. Rankine-Gordon's Formula

ii. Johnson's Parabolic Formula

iii. Johnson's Straight Line Formula

iv. Rankine-Merchant's Formula

v. Perry Robertson's Formula

7. Non-Prismatic Struts

8. Columns with Partial Restraints :

i. Fixed-free column with Lateral Restraint at the free end

ii. Pin-ended Column with Partial Restraint Against Rotation

9. Summary

10. Exercises

XV. SPRINGS :

Introduction

1. Helical Springs :

i. Close Coiled Helical Springs :

a. Axial Loading

b. Axial Torque

ii. Open Coiled Helical Springs :

a. Axial Loading

b. Axial Torque

2. Compound Springs :

i. Springs Placed Side by Side

ii. Springs Connected Axially

3. Conical Springs

4. Leaf springs :

i. Semi-Elliptic Leaf Springs

ii. Quarter-Elliptic Leaf Springs

5. Flat Spiral Spring

6. Summary

7. Exercises