Home|Back
MECHANICS OF SOLIDS
[ENTIRELY IN SI UNITS]
by
Dr. H. J. Shah

In this text book the approach is to study systematically the fundamentals of Mechanics of Solids and their application to engineering problems. It mainly consists of Statics and a few topics of Strength of Materials. This book is an outcome of author’s well acclaimed books, namely Elements of Applied Mechanics and Mechanics of Structures Vol. I

The outline of the book is:

Chapter 1 and 2 discuss Introduction of Mechanics; Fundamental Concepts and Principles; Scalars, Vectors and                  Tensors; SI units, Vector Algebra, etc.
Chapter 3  to 7 Mechanics of Rigid Bodies: Fundamentals of Statics etc.
Chapter 8  includes Types of Loads, Beams, Supports and Support Reactions etc.
Chapter 9  Trusses and 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 and Belt Drive where as Chapter 15 Simple Machines
Chapter 16 to 28 Mechanics of Deformable Bodies or Strength of Materials
Chapter 16 to 19 descuss 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 Force and Bending Moment Diagrams
Chapter 26 and 27 Stresses in Beams

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

* 975
*   40
* 489
* 558
*   26
Neatly drawn sketches
Useful tables
Fully illustrated worked examples
Unsolved examples with answers and
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

It is hoped that this text-book will satisfy the need of the students of the Engineering and Architecture 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.

Price : Rs. 250-00    
Edition : First Edition : 2008
ISBN : 978-81-85594-83-5
Book Size : 170 mm × 240 mm
Binding : Paperback with Four Colour Jacket Cover
Pages : 768 + 20
Next>>

CONTENTS

Chapter 1   : INTRODUCTION

Chapter 2   : VECTORS

Chapter 3   : COPLANAR CONCURRENT FORCES

Chapter 4   : MOMENTS

Chapter 5   : PARALLEL FORCES AND COUPLES

Chapter 6   : RESULTANT OF COPLANAR FORCE SYSTEMS

Chapter 7   : EQUILIBRIUM OF COPLANAR FORCE SYSTEMS

Chapter 8   : REACTIONS

Chapter 9   : TRUSSES

Chapter 10 : GRAPHIC STATICS

Chapter 11 : PROPERTIES OF LINES, AREAS AND SOLIDS

Chapter 12 : AREA MOMENTS OF INERTIA

Chapter 13 : FRICTION

Chapter 14 : BELT AND ROPE DRIVES

Chapter 15 : LIFTING MACHINES

Chapter 16 : SIMPLE STRESS

Chapter 17 : SIMPLE STRAIN

Chapter 18 : STATICALLY INDETERMINATE MEMBERS

Chapter 19 : THERMAL STRESSES AND STRAINS

Chapter 20 : STRESSES ON INCLINED PLANES

Chapter 21 : COMBINED STRESSES: PRINCIPAL STRESSES

Chapter 22 : MOHR’S CIRCLE METHOD

Chapter 23 : TESTING OF MATERIALS – I

Chapter 24 : SHEAR FORCES AND BENDING MOMENTS – I

Chapter 25 : SHEAR FORCES AND BENDING MOMENTS – II

Chapter 26 : BENDING STRESSES IN BEAMS

Chapter 27 : SHEAR STRESSES IN BEAMS

Chapter 28 : TESTING OF MATERIALS – II

Next>>

DETAILED CONTENTS

Chapter 1 : INTRODUCTION

1-1
1-2
1-3
1-4
1-5

1-6

Mechanics
Fundamental concepts
Scalars, vectors and tensors
Fundamental principles
System of units: SI units
Basic SI Units
Using SI units
Questions

Chapter 2 : VECTORS

2-1
2-2
2-3
2-4
2-5
2
-6

Vectors
Basic operations with vectors
Components, unit vectors and position vector
Vector algebra: Dot product
Vector algebra: Cross product
Triple product of vectors
Examples

Chapter 3 : COPLANAR CONCURRENT FORCES

3-1
3-2
3-3
3-4
3-5
3-6
3-7

Forces and force systems
Principle of transmissibility
Resultant of a force system
Resultant of two coplanar concurrent forces
Resultant of several coplanar forces acting at a point: Law of polygon of forces
Resolution of a force
Resultant of a coplanar concurrent force system: Resolution method
Examples

Chapter 4 : MOMENTS

4-1
4-2
4-3
4-4
4-5

Moment of a force
Principle of moments: Varignon's theorem
Coplanar applications
Levers
A simple pulley
Examples

Chapter 5 : PARALLEL FORCES AND COUPLES

5-1
5-2
5-3
5-4
5-5
5-6
5-7

Parallel force system
Couples
Equivalent couples
Addition of couples
Operations with couples
Equivalent systems of forces
Equipollent systems of vectors
Examples

Chapter 6 : RESULTANT OF COPLANAR FORCE SYSTEMS

6-1
6-2
6-3
6-4
6-5

Introduction
Resultant of parallel force system
Centre of parallel forces
Resultant of a general coplanar force system
Concentrated and distributed loads
Examples

Chapter 7 : EQUILIBRIUM OF COPLANAR FORCE SYSTEMS

7-1

7-2
7-3
7-4
7-5
7-6
7-7
7-8
7-9
7-10
7-11

7-12
7-13
7-14
7-15

Equilibrium
Equilibrium of a
particle
Equilibrium of a particle
Resultant and equilibrant
Principle of action and reaction
Free body and free body diagram
Tensions of strings
Equilibrium of three forces acting on a particle: Lami’s theorem
Equilibrium of a particle under three forces acting on it
External and internal forces
Tension and compression
Connected bodies
Equilibrium of a rigid body
Equilibrium of a rigid body
Conditions of equilibrium for a system of coplanar forces acting on a body
Types of supports
Solution of problems
Examples

Chapter 8 : REACTIONS

8-1
8-2
8-3
8-4
8-5
8-6

Axial and transverse forces
Structural members
Types of beams
Reactions by proportions
Reactions by equations of statics: Principle of super-position
Determinate and indeterminate beams/structures
Examples

Chapter 9 : TRUSSES

9-1

9-2
9-3
9-4
9-5
9-6
9-7
9-8
9-9
9-10

Engineering applications of connected bodies
Trusses
Introductory
Assumptions made in the analysis of a truss
Truss notations
Common types of trusses
Analysis of a truss
Method of joints
Method of sections
Determinateness of a truss
Truss with two hinges
Examples

Chapter 10 : GRAPHIC STATICS

10-1
10-2
10-3
10-4
10-5
10-6
10-7
10-8
10-9
10-10
10-11
10-12
10-13
10-14

Introductory
Basic concepts
Conditions of equilibrium of a point
Three force equilibrium of coplanar,
non-concurrent, non-parallel forces
Resultant of non-concurrent, non-parallel forces
: Funicular polygon
Resultant of parallel forces
Parallel forces: Centroid problems
Graphical conditions of equilibrium
Reactions of beams and trusses
Graphical methods applied to trusses
Force diagrams for individual joints of a truss
The
maxwell diagram
Method of substitution
Truss with two hinges with inclined loads
Examples

Chapter 11 : PROPERTIES OF LINES, AREAS AND SOLIDS

11-1
11-2
11-3
11-4
11-5
11-6
11-7
11-8
11-9
11-10
11-11
11-12

Introductory
Centre of gravity
Centre of mass
First moment of an element of line and area
First moment of a line segment and a finite area
Centroids of lines and areas
Centroids of symmetrical lines and areas
Centroids by integration
Summary of centroids of common figures
Centroids of composite areas
Theorems of pappus—
guldinus
Centroid of volumes
Examples

Chapter 12 : AREA MOMENTS OF INERTIA

12-1
12-2
12-3
12-4
12-5
12-6
12-7

Introduction
Definitions
Radius of gyration
Parallel axis theorem
Moment of inertia by integration
Moment of inertia of composite areas
Product of inertia
Examples

Chapter 13 : FRICTION

13-1
13-2
13-3
13-4
13-5
13-6
13-7

13-8
13-9
13-10
13-11
13-12
13-13
13-14
13-15

Introduction
Types of friction
Characteristics of dry friction
Angle of friction: Cone of friction
Angle of repose
Types of problems
Equilibrium on a rough inclined plane
Applications of
friction
The wedge
The screw
Screw-jack
Journal bearings, axle friction
Thrust bearings: Disc friction
Thrust bearing: Uniform wear
Friction plate clutches
Rolling resistance
Examples

Chapter 14 : BELT AND ROPE DRIVES

14-1
14-2
14-3
14-4
14-5
14-6
14-7
14-8
14-9

Belt drive
Velocity ratio
Compound belt drive
Length of belt: Open drive
Length of belt: Crossed drive
Transmission of power
Centrifugal tension
Optimum speed for maximum power
Rope drive
Examples

Chapter 15 : LIFTING MACHINES

15-1
15-2
15-3
15-4
15-5
15-6
15-7
15-8
15-9
15-10
15-11
15-12
15-13

Definitions
Basic machines
Differential wheel and axle
Differential pulley-block
Differential screw
Pulley-blocks
Lifting machines with toothed gearing
Worm gearing
Worm geared screw jack
Worm geared pulley block
Linear law
Reversibility of a machine
Compound efficiency
Examples

Chapter 16 : SIMPLE STRESS

16-1
16-2
16-3
16-4
16-5
16-6
16-7
16-8
16-9
16-10
16-11
16-12
16-13
16-14
16-15
16-16
16-17
16-18

Introduction to mechanics of deformable bodies
Loading a bar
Principle of superposition
Classification of loaded bar
Gradual, sudden, impact and shock loading
Tension and compression
Resistance of an axially loaded bar
Concept of a stress
Normal stresses
Simple stress
Design of an axially loaded member
Non-prismatic bars
Axial force diagram
Rotating rings
Shear
Shear stress
Pure shear
Bearing stress
Examples

Chapter 17 : SIMPLE STRAIN

17-1
17-2
17-3
17-4
17-5
17-6
17-7
17-8
17-9
17-10
17-11
17-12
17-13
17-14

Introduction
Linear strain
Shear strain
Elasticity
Hooke’s law
Axial and shear deformations
Bars of varying section
Bars of uniformly varying cross-section
A bar subjected to self-weight
Bar of uniform strength
Bars subjected to uniformly varying loads
Pin-jointed determinate frames
Lateral strain: Poisson’s ratio
Biaxial and triaxial deformations
Examples

Chapter 18 : STATICALLY INDETERMINATE MEMBERS

18-1
18-2
18-3
18-4
18-5

Introduction
Composite bars
Equivalent modulus of a composite bar
Pin-jointed bars
Stresses due to lack of fit
Examples

Chapter 19 : THERMAL STRESSES AND STRAINS

19-1
19-2
19-3
19-4
19-5
19-6
19-7
19-8

Introduction
General
Coefficient of linear expansion
Stresses due to changes of temperature
Compound bar
Composite bar
Bars of uniformly varying cross-section
Shrinking-on
Examples

Chapter 20 : STRESSES ON INCLINED PLANES

20-1
20-2
20-3
20-4
20-5
20-6
20-7

Introduction
Stresses on inclined plane of a bar under tension or compression
State of pure shear: Stresses on inclined planes
Linear strain of the diagonal BD
Relation between the Moduli of elasticity and
rigidity for a given material
Bulk
modulus
Relation between three elastic constants
Examples

Chapter 21 : COMBINED STRESSES: PRINCIPAL STRESSES

21-1
21-2
21-3
21-4
21-5
21-6

Introduction
Stress components
Element subjected to general plane stress system
Principal planes and principal stresses
Planes carrying maximum shear stress
Element subjected to principal stresses
Example
s

Chapter 22 : MOHR'S CIRCLE METHOD

22-1

Mohr’s circle method
Examples

Chapter 23 : TESTING OF MATERIALS – I

23-1
23-2
23-3

23-4
23-5
23-6
23-7
23-8
23-9
23-10
23-11
23-12

23-13
23-14
23-15

23-16
23-17
23-18
23-19

Introduction
Metals and alloys
Testing machines
Tension
tests
The complete tensile test
Stress–strain diagram
Mechanical properties of materials
Modulus of elasticity
Yield point by the offset method: Proof stress
Secant modulus
Specific modulus of elasticity
Resilience
Toughness
Compression
tests
The compression test
Compression tests on wood and concrete
Permissible stress: Factor of safety
Stress
concentration
Stress concentration
Stress concentration factor
Importance of stress concentration under different loads
Elastoplastic materials: Limit design
Examples

Chapter 24 : SHEAR FORCES AND BENDING MOMENTS – I

24-1
24-2
24-3
24-4
24-5
24-6
24-7
24-8
24-9

Introductory
Types of beams
Actions on the cross-section of a beam
Sign conventions
Shear force (S.F.) and
bending moment (B.M.) diagrams
Cantilevers
Simply supported beams
Relation between the S.F. and
the B.M. at a cross-section of a beam
Overhanging beams
Examples

Chapter 25 : SHEAR FORCES AND BENDING MOMENTS – II

25-1
25-2
25-3
25-4
25-5
25-6
25-7
25-8
25-9
25-10
25-11

Introduction
S.F. and B.M. diagrams for beams with variable loading
Beams with end couples
Beams with an intermediate couple
Supports offering pressures
Cantilever structures
Principle of superposition
Moment and loading diagrams drawn from shear diagrams
Beams subjected to inclined loads
Inclined beams
Graphical methods
Examples

Chapter 26 : BENDING STRESSES IN BEAMS

26-1
26-2
26-3
26-4
26-5
26-6
26-7
26-8
26-9
26-10
26-11
26-12
26-13

Simple bending
Theory of simple bending
Modulus of section or section modulus
Application of bending equation
Modulus of rupture
Beams of rectangular section
Strength of sections
Economic sections
Unsymmetrical and built-up sections
Modulus figure
Beam of uniform strength
Strain energy in flexure
Laminated springs
Examples

Chapter 27 : SHEAR STRESSES IN BEAMS

27-1
27-2
27-3
27-4
27-5
27-6
27-7
27-8
27-9
27-10
27-11
27-12

Resistance to shear force: shear stresses
Shear flow
Shear stresses in beams of rectangular and circular sections
Shear stresses in beams of I-section
Assumptions and limitations of the shear stresses formula
Shear stresses in built-up sections
Beam of square section with one diagonal horizontal
Design for flexure and shear
Principal stresses and Principal planes
at a point in a beam section
Curves of principal stresses
Principal stresses in an I-section
Strain-energy due to shear in a beam
Examples

Chapter 28 : TESTING OF MATERIALS – II

28-1
28-2
28-3
28-4
28-5
28-6
28-7
28-8
28-9
28-10
28-11
28-12
28-13

Flexure tests
Important flexure tests
Shear tests
Hardness
Brinell hardness test
Rockwell hardness test
Impact tests
Fatigue
Stress spectrum
Fatigue tests
S-N curve
Endurance limit or fatigue limit
Fatigue failure
Examples
Questions