# Mechanics of Solids By Dr. H. J. Shah

~~₹500.00~~ ₹375.00

By **Dr. H. J. Shah**

2^{nd} Edition 2023

ISBN : 9789385039652

Binding : Paperback

Pages : 768 + 20 = 788

Size (mm) : 240 × 33 × 170

Weight : 1035 g

## Description

Many Universities have adopted this subject for general stream for all first year engineering students. Therefore, in this textbook titled Mechanics of Solids, approach is to study systematically the fundamentals of Mechanics of Solids and their application to engineering problems which comprises of Statics from Applied Mechanics and a few topics from Strength of Materials.

*The conspectus of the book is:*

**Chapter 01** and **02** gives Introduction of Mechanics; fundamental concepts and principles; Scalers, Vectors and Tensors; SI units, Vectors etc.

**Chapter 03** to **07** Mechanics of Rigid Bodies: Fundamentals of Statics etc.

**Chapter 08** gives Types of Loads, Beams, Supports and Support Reactions etc.

**Chapter 09** Trusses; Chapter 10 Graphics statics

**Chapter 11** and **12** Properties of Lines and Areas, Distributed forces, Centre of Gravity and Moment of Inertia.

**Chapter 13** and **14** Friction; Chapter 15 Simple Machines

**Chapter 16** to **28** Mechanics of deformable bodies or Strength of Materials

**Chapter 16** to **19** consist Simple stresses and strains

**Chapter 20,** **21** and **22** Principal stresses and strains

**Chapter 23** and **28** Physical, Mechanical Properties and Testing of Structural Materials.

**Chapter 24** and **25** Shear forces and Bending Moments

**Chapter 26** and **27** Stresses in Beams.

*The book within its 768 + 20 pages, It comprise the following:*

*** 975 Neatly drawn sketches**

*** 40 Useful tables**

*** 489 Fully illustrated worked examples**

*** 558 Unsolved examples with answers and**

*** 26 Questions at the ends of chapters**

*The salient features of the book are:*

*** Simple, lucid and easy language**

*** Step-by-step treatment of the subject**

*** Comprehensive presentation**

*** Entirely in SI units.**

The text-matter has been arranged systematically to satisfy the need of the First Year Engineering Students (Common to all branches) and also Architecture Students of all the Indian Universities, Diploma examinations conducted by various Boards of Technical Education, Certificate courses as well as for the A.M.I.E., U.P.S.C., G.A.T.E., I.E.S. and other similar competitive and professional examinations. It should also be an immense use to practising Civil Engineers.

## Additional information

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## Content

1 : INTRODUCTION

2 : VECTORS

3 : COPLANAR CONCURRENT FORCES

4 : MOMENTS

5 : PARALLEL FORCES AND COUPLES

6 : RESULTANT OF COPLANAR FORCE SYSTEMS

7 : EQUILIBRIUM OF COPLANAR FORCE SYSTEMS

8 : REACTIONS

9 : TRUSSES

10 : GRAPHIC STATICS

11: PROPERTIES OF LINES, AREAS AND SOLIDS

12 : AREA MOMENTS OF INERTIA

13 : FRICTION

14 : BELT AND ROPE DRIVES

15 : LIFTING MACHINES

16 : SIMPLE STRESS

17 : SIMPLE STRAIN

18 : STATICALLY INDETERMINATE MEMBERS

19 : THERMAL STRESSES AND STRAINS

20 : STRESSES ON INCLINED PLANES

21 : COMBINED STRESSES: PRINCIPAL STRESSES

22 : MOHR’S CIRCLE METHOD

23 : TESTING OF MATERIALS – I

24 : SHEAR FORCES AND BENDING MOMENTS – I

25 : SHEAR FORCES AND BENDING MOMENTS – II

26 : BENDING STRESSES IN BEAMS

27 : SHEAR STRESSES IN BEAMS

28 : TESTING OF MATERIALS–IIT

INDEX

## Details Content

**Chapter 1 INTRODUCTION**

1-1. Mechanics

1-2. Fundamental concepts

1-3. Scalars, vectors and tensors

1-4. Fundamental principles

1-5. System of units: SI units

BASIC SI UNITS

1-6. Using SI units

Questions I

**Chapter 2 VECTORS**

2-1. Vectors

2-2. Basic operations with vectors

2-3. Components, unit vectors and position vector

2-4. Vector algebra: Dot product

2-5. Vector algebra: Cross product

2-6. Triple product of vectors

Examples II

**Chapter 3 COPLANAR CONCURRENT FORCES**

3-1. Forces and force systems

3-2. Principle of transmissibility

3-3. Resultant of a force system

3-4. Resultant of two coplanar concurrent forces

3-5. Resultant of several coplanar forces acting at a point: Law of

polygon of forces

3-6. Resolution of a force

3-7. Resultant of a coplanar concurrent force system: Resolution

method

Examples III

**Chapter 4 MOMENTS**

4-1. Moment of a force

4-2. Principle of moments: Varignon’s theorem

4-3. Coplanar applications

4-4. Levers

4-5. A simple pulley

Examples IV

**Chapter 5 PARALLEL FORCES AND COUPLES**

5-1. Parallel force system

5-2. Couples

5-3. Equivalent couples

5-4. Addition of couples

5-5. Operations with couples

5-6. Equivalent systems of forces

5-7. Equipollent systems of vectors

Examples V

**Chapter 6 RESULTANT OF COPLANAR FORCE SYSTEMS**

6-1. Introduction

6-2. Resultant of parallel force system

6-3. Centre of parallel forces

6-4. Resultant of a general coplanar force system

6-5. Concentrated and distributed loads

Examples VI

**Chapter 7 EQUILIBRIUM OF COPLANAR FORCE SYSTEMS**

7-1. Equilibrium

EQUILIBRIUM OF A PARTICLE

7-2. Equilibrium of a particle

7-3. Resultant and equilibrant

7-4. Principle of action and reaction

7-5. Free body and free body diagram

7-6. Tensions of strings

7-7. Equilibrium of three forces acting on a particle: Lami’s theorem

7-8. Equilibrium of a particle under three forces acting on it

7-9. External and internal forces

7-11. Connected bodies

EQUILIBRIUM OF A RIGID BODY

7-12. Equilibrium of a rigid body

7-13. Conditions of equilibrium for a system of coplanar forces

acting on a body

7-14. Types of supports

7-15. Solution of problems

Examples VII

**Chapter 8 REACTIONS**

8-1. Axial and transverse forces

8-2. Structural members

8-3. Types of beams

8-4. Reactions by proportions

8-5. Reactions by equations of statics: Principle of super-position

8-6. Determinate and indeterminate beams/structures

Examples VIII

**Chapter 9 TRUSSES**

9-1. Engineering applications of connected bodies

TRUSSES

9-2. Introductory

9-3. Assumptions made in the analysis of a truss

9-4. Truss notations

9-5. Common types of trusses

9-6. Analysis of a truss

9-7. Method of joints

9-8. Method of sections

9-9. Determinateness of a truss

9-10. Truss with two hinges

Examples IX

**Chapter 10 GRAPHIC STATICS**

10-1. Introductory

10-2. Basic concepts

10-3. Conditions of equilibrium of a point

10-4. Three force equilibrium of coplanar, non-concurrent, non-parallel

forces

10-5. Resultant of non-concurrent, non-parallel forces: Funicular

polygon

10-6. Resultant of parallel forces

10-7. Parallel forces: Centroid problems

10-8. Graphical conditions of equilibrium

10-9. Reactions of beams and trusses

10-10. Graphical methods applied to trusses

10-11. Force diagrams for individual joints of a truss

10-12. The Maxwell diagram

10-13. Method of substitution

10-14. Truss with two hinges with inclined loads

Examples X

**Chapter 11 PROPERTIES OF LINES, AREAS AND SOLIDS**

11-1. Introductory

11-2. Centre of gravity

11-3. Centre of mass

11-4. First moment of an element of line and area

11-5. First moment of a line segment and a finite area

11-6. Centroids of lines and areas

11-7. Centroids of symmetrical lines and areas

11-8. Centroids by integration

11-9. Summary of centroids of common figures

11-10. Centroids of composite areas

11-11. Theorems of Pappus—Guldinus

11-12. Centroid of volumes

Examples XI

**Chapter 12 AREA MOMENTS OF INERTIA**

12-1. Introduction

12-2. Definitions

12-3. Radius of gyration

12-4. Parallel axis theorem

12-5. Moment of inertia by integration

12-6. Moment of inertia of composite areas

12-7. Product of inertia

Examples XII

**Chapter 13 FRICTION**

13-1. Introduction

13-2. Types of friction

13-3. Characteristics of dry friction

13-4. Angle of friction: Cone of friction

13-5. Angle of repose

13-6. Types of problems

13-7. Equilibrium on a rough inclined plane

APPLICATIONS OF FRICTION

13-8. The wedge

13-9. The screw

13-10. Screw-jack

13-11. Journal bearings, axle friction

13-12. Thrust bearings: Disc friction

13-13. Thrust bearing: Uniform wear

13-14. Friction plate clutches

13-15. Rolling resistance

Examples XIII

**Chapter 14 BELT AND ROPE DRIVES**

14-1. Belt drive

14-2. Velocity ratio

14-3. Compound belt drive

14-4. Length of belt: Open drive

14-5. Length of belt: Crossed drive

14-6. Transmission of power

14-7. Centrifugal tension

14-8. Optimum speed for maximum power

14-9. Rope drive

Examples XIV

**Chapter 15 LIFTING MACHINES**

15-1. Definitions

15-2. Basic machines

15-3. Differential wheel and axle

15-4. Differential pulley-block

15-5. Differential screw

15-6. Pulley-blocks

15-7. Lifting machines with toothed gearing

15-8. Worm gearing

15-9. Worm geared screw jack

15-10. Worm geared pulley block

15-11. Linear law

15-12. Reversibility of a machine

15-13. Compound efficiency

Examples XV

**Chapter 16 SIMPLE STRESS**

16-1. Introduction to Mechanics of deformable bodies

16-2. Loading a bar

16-3. Principle of superposition

16-4. Classification of loaded bar

16-5. Gradual, sudden, impact and shock loading

16-6. Tension and compression

16-7. Resistance of an axially loaded bar

16-8. Concept of a stress

16-10. Simple stress

16-11. Design of an axially loaded member

16-12. Non-prismatic bars

16-13. Axial force diagram

16-14. Rotating rings

16-15. Shear

16-16. Shear stress

16-17. Pure shear

16-18. Bearing stress

Examples XVI

**Chapter 17 SIMPLE STRAIN**

17-1. Introduction

17-2. Linear strain

17-3. Shear strain

17-4. Elasticity

17-5. Hooke’s law

17-6. Axial and shear deformations

17-7. Bars of varying section

17-8. Bars of uniformly varying cross-section

17-9. A bar subjected to self-weight

17-10. Bar of uniform strength

17-11. Bars subjected to uniformly varying loads

17-12. Pin-jointed determinate frames

17-13. Lateral strain: Poisson’s ratio

17-14. Biaxial and triaxial deformations

Examples XVII

**Chapter 18 STATICALLY INDETERMINATE MEMBERS**

18-1. Introduction

18-2. Composite bars

18-3. Equivalent modulus of a composite bar

18-4. Pin-jointed bars

18-5. Stresses due to lack of fit

Examples XVIII

**Chapter 19 THERMAL STRESSES AND STRAINS**

19-1. Introduction

19-2. General

19-3. Coefficient of linear expansion

19-4. Stresses due to changes of temperature

19-5. Compound bar

19-6. Composite bar

19-7. Bars of uniformly varying cross-section

19-8. Shrinking-on

Examples XIX

**Chapter 20 STRESSES ON INCLINED PLANES**

20-1. Introduction

20-2. Stresses on inclined plane of a bar under tension or compression

20-3. State of pure shear: Stresses on inclined planes

20-4. Linear strain of the diagonal BD

20-5. Relation between the Moduli of Elasticity and Rigidity for a

given material

20-6. Bulk Modulus

20-7. Relation between three elastic constants

Examples XX

**Chapter 21 COMBINED STRESSES: PRINCIPAL STRESSES**

21-1. Introduction

21-2. Stress components

21-3. Element subjected to general plane stress system

21-4. Principal planes and principal stresses

21-5. Planes carrying maximum shear stress

21-6. Element subjected to principal stresses

Examples XXI

**Chapter 22 MOHR’S CIRCLE METHOD**

22-1. Mohr’s circle method

Examples XXII

**Chapter 23 TESTING OF MATERIALS – I**

23-1. Introduction

23-2. Metals and alloys

23-3. Testing machines

Tension Tests

23-4. The complete tensile test

23-5. Stress–strain diagram

23-6. Mechanical properties of materials

23-7. Modulus of elasticity

23-8. Yield point by the offset method: Proof stress

23-9. Secant modulus

23-10. Specific modulus of elasticity

23-11. Resilience

23-12. Toughness

Compression Tests

23-13. The compression test

23-14. Compression tests on wood and concrete

23-15. Permissible stress: Factor of safety

Stress Concentration

23-16. Stress concentration

23-17. Stress concentration factor

23-18. Importance of stress concentration under different loads

23-19. Elastoplastic materials: Limit design

Examples XXIII

**Chapter 24 SHEAR FORCES AND BENDING MOMENTS – I**

24-1. Introductory

24-2. Types of beams

24-3. Actions on the cross-section of a beam

24-4. Sign conventions

24-5. Shear Force (S.F.) and Bending Moment (B.M.) diagrams

24-6. Cantilevers

24-7. Simply supported beams

24-8. Relation between the S.F. and the B.M. at a cross-section of

a beam

24-9. Overhanging beams

Examples XXIV

**Chapter 25 SHEAR FORCES AND BENDING MOMENTS – II**

25-1. Introduction

25-2. S.F. and B.M. diagrams for beams with variable loading

25-3. Beams with end couples

25-4. Beams with an intermediate couple

25-5. Supports offering pressures

25-6. Cantilever structures

25-7. Principle of superposition

25-8. Moment and loading diagrams drawn from shear diagrams

25-9. Beams subjected to inclined loads

25-11. Graphical methods

Examples XV

**Chapter 26 BENDING STRESSES IN BEAMS**

26-1. Simple bending

26–2. Theory of simple bending

26-3. Modulus of section or section modulus

26-4. Application of bending equation

26-5. Modulus of rupture

26-6. Beams of rectangular section

26-7. Strength of sections

26-8. Economic sections

26-9. Unsymmetrical and built-up sections

26-10. Modulus figure

26-11. Beam of uniform strength

26-12. Strain energy in flexure

26-13. Laminated springs

Examples XVI

**Chapter 27 SHEAR STRESSES IN BEAMS**

27-1. Resistance to shear force: shear stresses

27-2. Shear flow

27-3. Shear stresses in beams of rectangular and circular sections

27-4. Shear stresses in beams of I-section

27-5. Assumptions and limitations of the shear stresses formula

27-6. Shear stresses in built-up sections

27-7. Beam of square section with one diagonal horizontal

27-8. Design for flexure and shear

27-9. Principal stresses and Principal planes at a point in a beam

section

27-10. Curves of principal stresses

27-11. Principal stresses in an I-section

27-12. Strain-energy due to shear in a beam

Examples XVII

**Chapter 28 TESTING OF MATERIALS–II**

28-1. Flexure tests

28-2. Important flexure tests

28-3. Shear tests

28-4. Hardness

28-5. Brinell hardness test

28-6. Rockwell hardness test

28-7. Impact tests

28-8. Fatigue

28-9. Stress spectrum

28-10. Fatigue tests

28-11. S-N curve

28-12. Endurance limit or fatigue limit

28-13. Fatigue failure

Examples XXVIII

Questions

Index

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