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In this text-book, the approach is to study systematically the laws of Mechanics and their application to engineering problems.
This thoroughly revised, enlarged and completely updated edition, is now organised in 38 chapters — comparatively smaller in size than its previous edition.
This edition contains three new chapters:
(1) Central Force Motion
(2) Kinetic of Systems of Particles
(3) Mechanical Vibrations.
Moreover, following chapters contain substantial new material
(4) Collisions
(5) Motion of Vehicles
This book is now presented in a new form and different size which possesses plenty of new matter, examples and drawings. It now contains:
* 860
* 461
* 32
* 600 |
Neat and clean self-explanatory diagrams
Worked-out examples
Useful tables
Examples for practice with Answers at the end of chapters. |
The salient features of the book are:
* Simple, lucid and easy language
* Step-by-step treatment
* Comprehensive presentation
* Entirely in SI units
* Includes vector algebra and vector mechanics.
This book will be extremely useful to the students of Engineering of all branches reading for Degree Examinations of all the Indian Universities, Diploma Examinations conducted by various Boards of Technical Examinations, Certificate Courses, as well as for AMIE, UPSC, GATE, IES and such similar Examinations. It should also prove of great interest and practical use to the practicing engineers.
| Price |
: |
Rs. 200-00 $. 15-00 £. 20-00 |
|
| Edition |
: |
Sixteenth Revised and Enlarged Edition : 2001 |
| Book Size |
: |
170 mm × 240 mm |
| Binding |
: |
Paperback with Four Colour Jacket Cover |
| Pages |
: |
776 + 20 |
Next>>
Chapter 1 : INTRODUCTION
Chapter 2 : VECTORS
Chapter 3 : COPLANAR CONCURRENT FORCES
Chapter 4 : MOMENTS
Chapter 5 : PARALLEL FORCE AND COUPLES
Chapter 6 : RESULTANT OF COPLANAR FORCE SYSTEMS
Chapter 7 : SPATIAL FORCES
Chapter 8 : EQUILIBRIUM OF COPLANAR FORCE SYSTEMS
Chapter 9 : REACTIONS
Chapter 10 : EQUILIBRIUM OF SPATIAL FORCE SYSTEM
Chapter 11 : PROPERTIES OF LINES, AREAS AND SOLIDS
Chapter 12 : TRUSSES
Chapter 13 : FRAMES AND MECHANISMS
Chapter 14 : GRAPHIC STATICS
Chapter 15 : MOMENTS OF INERTIA
Chapter 16 : FRICTION
Chapter 17 : RECTILINEAR MOTION OF A PARTICLE
Chapter 18 : MOTION UNDER VARIABLE ACCELERATION
Chapter 19 : RELATIVE MOTION OF PARTICLE
Chapter 20 : CURVILINEAR MOTION OF A PARTICLE
Chapter 21 : KINEMATICS OF RIGID BODIES
Chapter 22 : KINETICS OF PARTICLE : LAWS OF MOTION
Chapter 23 : KINETICS OF PARTICLE : WORKS AND ENERGY
Chapter 24 : KINETICS OF PARTICLE : IMPULSE AND MOMENTUM
Chapter 25 : CENTRAL FORCE MOTION
Chapter 26 : COLLISIONS
Chapter 27 : KINETICS OF SYSTEMS OF PARTICLE
Chapter 28 : KINETICS OF RIGID BODIES
Chapter 29 : MOTION OF VEHICLES
Chapter 30 : BALANCING OF ROTATING MASSES
Chapter 31 : VIRTUAL WORK
Chapter 32 : THE CATENARY
Chapter 33 : BELT AND ROPE DRIVES
Chapter 34 : TOOTHED GEARING
Chapter 35 : LIFTING MACHINES
Chapter 36 : MECHANICAL VIBRATIONS
Chapter 37 : HYDROSTATICS
Chapter 38 : IMPACT OF JETS
APPENDIX
Next>>
DETAILED CONTENTS
Chapter 1 : INTRODUCTION
1-1
1-2
1-3
1-4 |
Mechanics
Fundamental concepts
Space
Time
Mass
Rest and motion
Force
Particle
Scalars, vectors and tensors
Scalars
Vectors
Tensors
Fundamental principles
(1) Newton's first law of motion
(2) Newton's second law of motion
(3) Newton's third law of motion
(4) Newton's law of gravitation
(5) The law of parallelogram of forces
(6) The principle of transmissibility |
| 1-5 |
System of units : SI units
BASIC SI UNITS
Table 1-1 : SI UNITS AND THEIR DERIVATIVES
Table 1-2 : SI PREFIXES |
| 1-6 |
Using SI units
Questions
|
Chapter 2 : VECTOR
2-1
2-2 |
Vectors
Basic operations with vectors
(a) Addition of vectors
(b) Subtraction of vectors
(c) Product of a vector and a scalar |
| 2-3 |
Components, unit vectors and position vector
(a) Components
(b) Unit vectors
(c) Position vector |
2-4
2-5
2-6 |
Vector algebra: Dot product
Vector algebra: Cross product
Triple product of vectors
(a) Triple scalar product
(b) Triple vector product
Examples
|
Chapter 3 : COPLANAR CONCURRENT FORCES
| 3-1
|
Forces and force systems
Force
Characteristics of a force
Effect of a force
Measurement units
Types of forces
(1) Contact force or a body force
(2) Point force or a distributed force
(3) External force or internal force
Mass and weight
Loads
Force system
(1) Coplanar
(2) Non-coplanar
(3) Concurrent
(4) Non-concurrent
(5) Collinear |
3-2
3-3
3-4 |
Principle of transmissibility
Resultant of a force system
Resultant of two coplanar concurrent forces
(1) Law of parallelogram of forces
(2) Triangle law of forces
(3) Vector method
(4) Graphical method |
| 3-5
3-6
|
Resultant of several coplanar forces acting at a point : Law of polygon of forces
Resolution of a force
(1) About any two intersecting lines
(2) About rectangular co-ordinate axes. |
| 3-7 |
Resultant of a coplanar concurrent force system : Resolution method
Examples
|
Chapter 4 : MOMENTS
4-1
4-2
4-3 |
Moment of a force
Principle of moments : Varignon's theorem
Coplanar applications
Table 4-1 : SIGN CONVENTIONS : Clockwise (+ve), Anti-clockwise (–ve) |
4-4
4-5 |
Levers
A simple pulley
Examples
|
Chapter 5 : PARALLEL FORCE 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
Coplanar couples
Operations with couples
Equivalent systems of forces
Equipollent systems of vectors
Examples
|
Chapter 6 : RESULTANT OF COPLANAR FORCE SYSTEMS
6-1
6-2 |
Introduction
Resultant of parallel force system
(1) Two like parallel forces
(2) Two unlike unequal parallel forces
(3) Two unlike equal parallel forces
(4) Any number of parallel forces |
6-3
6-4
6-5 |
Centre of parallel forces
Resultant of a general coplanar force system
Concentrated and distributed loads
Examples
|
Chapter 7 : SPATIAL FORCES
7-1
7-2
7-3
7-4 |
Concurrent forces in space
Moment of a force
Resultant of spatial force system
Wrench resultant
Examples
|
Chapter 8 : EQUILIBRIUM OF COPLANAR FORCE SYSTEMS
| 8-1
8-2
|
Equilibrium
EQUILIBRIUM OF A PARTICLE
Equilibrium of a particle
(a) Two force system
(b) System consisting of more than two forces
(c) Three force system |
8-3
8-4
8-5
8-6
8-7
8-8
8-9 |
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
(1) External forces
(2) Internal forces |
8-10
8-11
8-12
8-13
8-14
|
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
(1) Supports offering reactions equivalent to a force with known line of action
(2) Supports offering reactions equivalent to a force of unknown direction
(3) Supports offering the reactions equivalent to
a force of unknown direction and a couple
(4) Linear spring
Simple and fixed supports |
| 8-15 |
Solution of problems
Examples
|
Chapter 9 : REACTIONS
9-1
9-2
9-3
9-4
9-5
9-6
|
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 10 : EQUILIBRIUM OF SPATIAL FORCE SYSTEM
| 10-1 |
Equilibrium of spatial force systems
(1) Concurrent forces
(2) Parallel forces
(3) Non-concurrent, non-parallel forces
Examples
|
Chapter 11 : PROPERTIES OF LINES, AREAS AND SOLIDS
11-1
11-2
11-3
11-4
11-5 |
Introductory
Centre of gravity
Centre of mass
Centroids
Centroids of lines and areas
(a) Centroids of lines
(b) Centroids of areas |
11-6
11-7
11-8 |
First moment of areas and lines
Centroids of symmetrical figures
Centroids by integration
(1) Centroid of a circular arc
(2) Centroid of a triangular area
(3) The uniform sector shaped area
Table 11-1 : CENTROIDS OF LINES
Table 11-2 : CENTROIDS OF AREAS |
11-9
11-10 |
Centroids of composite lines and plates
Theorems of Pappus—Guldinus
Theorem I
Theorem II |
| 11-11 |
Centroid of volumes
Table 11-3 : CENTROIDS OF SOME COMMON VOLUMES
Examples
|
Chapter 12 : TRUSSES
| 12-1 |
Engineering applications of connected bodies
(1) Trusses
(2) Frames
(3) Mechanisms
(1) Two force members
(2) Three force members
TRUSSES |
12-2
12-3
12-4 |
Introductory
Assumptions made in the analysis of a truss
Truss notations
(1) Chord members
(2) Vertical members
(3) Diagonal members
(4) Web members |
12-5
12-6
12-7
12-8
12-9
12-10
12-11 |
Common types of trusses
Analysis of a truss
Method of joints
Method of sections
Determinateness of a truss
Truss with two hinges
Space trusses
(1) Joint method
(2) Method of sections
Table 12-1 : SPACE FRAME OF EXAMPLE 12-12 TENSION (+)
COMPRESSION (–)
Table 12-2 : SPACE FRAME OF EXAMPLE 12-13 TENSION (+)
COMPRESSION (–)
Examples
|
Chapter 13 : FRAMES AND MCHANISMS
| 13-1 |
Frames and mechanisms
Examples
|
Chapter 14 : GRAPHIC STATICS
14-1
14-2 |
Introductory
Basic concepts
(1) Force representation
(2) Resultant of concurrent force system
(3) Resolution of force
(4) Bow's notation |
14-3
14-4
14-5
14-6
14-7
14-8
14-9
14-10
14-11
14-12
14-13
14-14 |
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
Other joints, Mechanical procedure
Method of substitution
Truss with two hinges with inclined loads
|
Chapter 15 : MOMENTS OF INERTIA
| 15-1
15-2
15-3
15-4
15-5
|
Introduction
AREA MOMENT OF INERTIA
Definitions
Radius of gyration
Parallel axis theorem
Moment of inertia by integration
(1) Rectangular section; breadth b, depth d
(2) Hollow rectangular section; I section; Channel section
(3) Parallelogram
(4) Triangular section; base b, height h
(5) Solid circular section; diameter d
(6) Hollow circular section: external diameter D, internal diameter d
(7) Semi-circle of diameter d; quarter circle of diameter d
Table 15-1 : MOMENT OF INERTIA OF PLANE FIGURES |
15-6
15-7 |
Moment of inertia of composite areas
Graphical method for first and second moments of a plane section about
an axis in its plane |
| 15-8 |
Product of inertia
MOMENT OF INERTIA OF MASSES |
15-9
15-10
15-11
15-12 |
Definitions
Parallel axis theorem
Moment of inertia of thin plates
Moments of inertia of standard forms
(1) Thin uniform rod of mass m and length l
(2) Thin ring or hoop or thin cylinder of mass m, radius r about its central axis
(3) Thin circular plate
(4) Thin rectangular plate
(5) Rectangular prism
(6) Circular cylinder of radius r, height h
(7) Sphere of radius r |
| 15-13 |
Moment of inertia of composite bodies
Examples
AREA MOMENT OF INERTIA MOMENT OF INERTIA OF MASSES
|
Chapter 16 : FRICTION
| 16-1
16-2
|
Introduction
Types of friction
(1) Dry friction
(2) Fluid friction
(3) Internal friction |
16-3
16-4
16-5
16-6
16-7 |
Characteristics of dry friction
Angle of friction: Cone of friction
Angle of repose
Types of problems
Equilibrium on a rough inclined plane
Case I. Force parallel to inclined plane
Case II. Force horizontal
Case III. Force inclined at q to the inclined plane
APPLICATION OF FRICTION |
16-8
16-9 |
The wedge
The screw
Pitch (P)
Lead (l )
Lead angle (a) |
| 16-10 |
Screw-jack
(a) Load being raised
(b) Load being lowered
(c) Overhauling of a screw |
16-11
16-12 |
Journal bearings, axle friction
Thrust bearings: Disc friction
(1) End bearing — flat pivot
(2) End bearing — conical pivot
(3) Collar bearing |
16-13
16-14
16-15 |
Thrust bearing: Uniform wear
Friction plate clutches
Rolling resistance
Examples
|
Chapter 17 : rectilinear motion of a particle
17-1
17-2 |
Motion of a particle
Speed
Average speed
Constant speed
Variable speed |
| 17-3 |
Velocity
Constant velocity
Variable velocity
RECTILINEAR MOTION |
17-4
17-5
17-6 |
Definitions
Motion under constant acceleration
Motion under gravity
Examples
|
Chapter 18 : Motion under variable acceleration
| 18-1 |
Motion under variable acceleration
(a) Acceleration given as a function of time, a = f( t )
(b) Acceleration is given as a function of x, a = f(x)
(c) Acceleration is a given function of v, a = f(v) |
| 18-2 |
Vector calculus
Examples
|
Chapter 19 : Relative motion of a Particle
| 19-1 |
Relative motion of a particle
(1) Relative displacement
(2) Relative velocity
(3) Relative acceleration |
| 19-2 |
Motion of connected particles
Examples
|
Chapter 20 : Curvilinear motion of a Particle
20-1
20-2 |
Introductory
Velocity, Acceleration and Hodograph
(1) Velocity
(2) Acceleration
(3) Hodograph |
20-3
20-4
20-5 |
Rectangular components of curvilinear motion
Normal and tangential components : Intrinsic co-ordinates
Radial and transverse components : Cylindrical co-ordinates
Cylindrical co-ordinates
Table 20-1 : EXPRESSIONS FOR CURVILINEAR MOTION |
20-6
20-7
20-8
20-9
20-10
|
Angular motion of a line
Circular motion of a particle
Centripetal acceleration
Simple Harmonic Motion
Projectiles : Motion in a vertical plane under gravity
Motion of a projectile on an inclined plane
Examples
|
Chapter 21 : Kinematics of rigid bodies
21-1
21-2
21-3
21-4
21-5 |
Introduction
Translation
Fixed axis rotation
General plane motion
Absolute motion analysis
(1) Rolling wheel without slipping
(2) Constrained link |
21-6
21-7 |
Relative motion analysis
Instantaneous centre : Centrodes
Examples
|
Chapter 22 : Kinetics of particles : Laws of Motion
22-1
22-2
22-3 |
Introduction
Inertia and mass
Newton's laws of motion:
First law
Second law
Third law
FORCE, MASS AND ACCELERATION METHOD |
| 22-4 |
Newton's second law
Motion of a particle
Weight of a particle |
22-5
22-6 |
Inertial frame
Equations of motion
(a) Rectilinear motion
(b) Curvilinear motion |
22-7
22-8
22-9 |
Constant force acting on a particle
Variable force acting on a particle
Motion of a lift
(a) Upward motion
(b) Downward motion |
22-10
22-11
22-12
22-13 |
Motion on a rough inclined plane
Motion of connected bodies
D'Alembert's principle : Dynamic equilibrium
Curvilinear motion
Rectangular co-ordinates
Intrinsic co-ordinates
Polar co-ordinates |
| 22-14 |
Circular motion
Centripetal force
Inertia force in rotation
Centrifugal force |
| 22-15 |
Newton's law of gravitation
Examples
|
Chapter 23 : Kinetics of particles : Work and Energy
| 23-1
23-2
23-3 |
Introductory
WORK AND ENERGY METHOD
Work done by a force
Standard cases
(1) Work of the force of gravity
(2) Work of a gravitational force
(3) Work done by the force exerted by a spring
(4) Work done by liquid under pressure |
| 23-4 |
Power and efficiency
(1) Power
(2) Efficiency |
| 23-5 |
Energy
(a) Potential energy
(b) Kinetic energy
(c) Strain energy
(d) Units of energy |
23-6
23-7
23-8
23-9 |
Conservative forces
Principle of conservation of energy
Total mechanical energy
Extraneous forces
Examples
|
Chapter 24 : Kinetics of particles : Impulse and momentum
24-1
24-2
24-3
24-4
24-5
24-6 |
Linear momentum
Linear impulse
Variable force with time
Impulsive forces
Angular momentum
Conservation of angular momentum
Angular impulse
Examples
|
Chapter 25 : Central force motion
25-1
25-2
25-3
25-4
25-5
25-6
25-7
25-8
|
Introductory
Central force motion
Areal velocity
Characteristics of central force motion
Trajectory of a particle under a central force
Conic section
Launching of a space vehicle
Escape velocity: Particle orbits
Periodic time of an orbit
Communication satellite
Kepler's laws of planetary motion
Examples
|
Chapter 26 : collisions
26-1
26-2 |
Collision of two bodies : Impact
Definitions
Impact
Line of impact
Central impact
Eccentric impact
Direct impact
Oblique impact |
26-3
26-4
26-5
26-6
26-7
26-8
26-9 |
Phenomenon of impact
The general condition
Collision of perfectly elastic bodies
Inelastic collisions
Collision of partially elastic bodies
Oblique impact on a smooth horizontal plane
Oblique impact of two smooth spheres
Examples
|
Chapter 27 : Kinetics of systems of particles
27-1
27-2
27-3
27-4
27-5 |
Introduction
Application of law of motion for system of particles
Principle of motion of mass centre
Work-energy
Linear and angular momentum of a system of particles
(a) Linear momentum
(b) Angular momentum
(c) Conservation of momentum |
| 27-6 |
Principle of impulse and momentum for a system of particles
Examples
|
Chapter 28 : Kinetics of rigid bodies
| 28-1
28-2
|
Introduction
TRANSLATION
Translation
(1) Rectangular co-ordinates
(2) Intrinsic (n – t) co-ordinates
ROTATION |
| 28-3 |
Rotational motion
(1) Centroidal rotation
(2) Non-centroidal rotation |
| 28-4 |
Work done by a couple: Kinetic energy of rotation:
(1) Work done by a couple
(2) Kinetic energy of rotation |
| 28-5 |
Impulse and momentum
(1) Angular momentum: moment of momentum
(2) Angular impulse
PLANE MOTION |
| 28-6 |
Wheel rolling without slipping
(1) Motion on a horizontal track
(2) Motion on a rough inclined plane
(3) The instant centre
(4) Unbalanced wheel
SPECIAL TOPICS |
28-7
28-8 |
Flywheels
Centre of percussion
Examples
|
Chapter 29 : Motion of vehicles
29-1
29-2
29-3 |
Motion of vehicles
Tractive resistance
Tractive force
(a) Vehicle moving on a level road
(b) Vehicle moving on the incline |
29-4
29-5
29-6
29-7
29-8
29-9
29-10 |
Driving torque
Maximum possible tractive effort
Power to drive a vehicle
A truck rolling down a rough inclined plane
Motion of a truck along level track
Motion of a truck going round a curve
Banking a curve: Super-elevation
(1) Motion impending upward
(2) Motion impending downward
Super-elevation
Examples
|
Chapter 30 : balancing of rotating masses
30-1
30-2
30-3
30-4 |
Static and Dynamic balance
Balancing of several masses in the same plane of revolution
Dynamical loads at bearings
Balancing of a mass by two masses in different planes of revolution
Examples
|
Chapter 31 : Virtual Work
31-1
31-2 |
Introductory
Principle of virtual work
Examples
|
Chapter 32 : The Catenary
32-1
32-2
32-3 |
The Catenary
The Parabolic chain
The length of the cable
Examples
|
Chapter 33 : Belt and Rope Drives
33-1
33-2
33-3
33-4
33-5
33-6
33-7
33-8
33-9 |
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 34 : Toothed gearing
34-1
34-2
34-3 |
Introduction
Friction wheels
Toothed wheels:
Definitions
Pitch circle
Circular pitch
Module |
| 34-4 |
Motion transmitted by toothed gearing
I. Axes of shafts coplanar and parallel
II. Axes of shafts coplanar and intersecting
III. Axes of shafts non-coplanar and non-intersecting |
34-5
34-6 |
Forms of wheel teeth
Trains of wheels
Simple train of wheels
Compound train of wheels |
34-7
34-8
34-9
34-10
34-11
34-12
34-13
34-14
34-15
34-16 |
Design of wheel trains
Wheel train for a 12-hour clock
Screw-cutting Lathe
Lathe back-gear for speed reduction
Three-speed gear-box of a motor car
Epicyclic gearing
Epicyclic trains with bevel wheels
Humpage's speed-reduction gear
The differential gear
Epicyclic gearing: alternate method
Examples
|
Chapter 35 : Lifting Machines
35-1
35-2
35-3
35-4
35-5
35-6
35-7
35-8
35-9
35-10
35-11
35-12 |
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
Compound efficiency
Examples
|
Chapter 36 : MECHANICAL VIBRATION
36-1
36-2
36-3
36-4
36-5
36-6
36-7
36-8
|
Introduction
Classification of vibrations
Vibration parameters
Free undamped vibrations of a particle : Spring-mass system
Composite springs
Simple pendulum
Conditions of equilibrium of a floating body
Conical pendulum
Compound pendulum
Examples
|
Chapter 37 : Hydrostatics
37-1
37-2
37-3
37-4
37-5
37-6
37-7
37-8
|
Introductory : Fluids and liquids
Liquid pressure
Relation of pressure to depth in a liquid
Total thrust on a plane vertical area immersed in a liquid
Total thrust on an inclined plane area immersed in a liquid
Floatation and buoyancy
Conditions of equilibrium of a floating body
Metacentre
Metacentric height
Examples
|
Chapter 38 : Impact of jets
38-1
38-2
38-3
38-4 |
Force exerted by a jet
Flat plates : Stationary as well as moving
Curved vanes
Pelton wheel: Turbines
Examples
|
Appendix
I
II |
Selected mathematics
Objective questions
|
|