# Applied Mechanics By S. B. Junnarkar, Dr. H. J. Shah

~~₹375.00~~ ₹337.50

By **Dr. H. J. Shah, S. B. Junnarkar**

19^{th} Edition 2015

ISBN : 9789385039065

Binding : Paperback

Pages : 816 + 16 = 832

Size (mm) : 235 × 31 × 170

Weight : 1000 g

## Additional information

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## Description

In this text-book, the approach is to study systematically the laws of Mechanics and their application to engineering problems. The outline of the book is:

**Chapters 1** and **2** discuss Introduction of Mechanics; Fundamental Concepts and Principles; Scalars, Vectors and Tensors; SI Units, Vector Algebra, etc.

**Chapter 3** to **10** consist the study of Mechanics of Rigid Bodies: Fundamentals of Statics, Forces and Force systems such as coplanar concurrent force systems; Moments; Parallel Forces and Couples; Spatial forces; Reactions etc.

**Chapter 11** deals in Properties of Lines, Areas and Solids.

**Chapter 12** and **13** discuss application of the connected bodies viz., trusses, frames and mechanisms.

**Chapter 14** gives problems of statics in Graphics Statics

**Chapter 15** and **16** Moments of Inertia of Areas and Masses; Friction respectively.

**Chapters 17** to **21** include the study of Dynamics and Kinematics such as — the motion of the particles, etc.

**Chapters 22** to **29** deal with topics on Kinetics of Particles such as Laws of Motion; Work and Energy; Impulse and Momentum. Special Topics such as Central Force Motion and Collisions; Kinetics of Systems of Particles, Kinetics of Rigid Bodies; Motion of Vehicles are also covered.

**Chapters 30** to **38** deal with topics such as Balancing and Rotating Masses; Virtual Work; The Catenary; Belt and Rope Drive; Toothed Gearing; Lifting Machine; Mechanical Vibration; Hydrostatics and Impact of Jets.

*This book is now contains:*

*** 904 Neatly drawn figures**

*** 56 Useful tables**

*** 453 Solved examples**

*** 670 Unsolved examples at the end of chapters.**

It is hoped that this edition should prove extremely useful to students of Engineering reading for Degree Examinations of all the Universities of India, Diploma Examinations conducted by various Boards of Technical Education, Certificate Courses, as well as for the U.P.S.C., G.A.T.E., A.M.I.E., I.E.S. and other similar competitive and professional examinations. It should also prove of great interest and practical use to the practising engineers.

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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 : SPATIAL FORCES

8 : EQUILIBRIUM OF COPLANAR FORCE SYSTEMS

9 : REACTIONS

10 : EQUILIBRIUM OF SPATIAL FORCE SYSTEMS

11 : PROPERTIES OF LINES, AREAS AND SOLIDS

12 : TRUSSES

13 : FRAMES AND MECHANISMS

14 : GRAPHIC STATICS

15 : MOMENTS OF INERTIA

16 : FRICTION

17 : RECTILINEAR MOTION OF A PARTICLE

18 : MOTION UNDER VARIABLE ACCELERATION

19 : RELATIVE MOTION OF A PARTICLE

20 : CURVILINEAR MOTION OF A PARTICLE

21 : KINEMATICS OF RIGID BODIES

22 : KINEMATICS OF PARTICLES LAWS OF MOTION

23 : KINETICS OF PARTICLES : WORK AND ENERGY

24 : KINETICS OF PARTICLES : IMPULSE AND MOMENTUM

25 : CENTRAL FORCE MOTION

26 : COLLISIONS

27 : KINETICS OF SYSTEMS OF PARTICLES

28 : KINETICS OF RIGID BODIES

29 : MOTION OF VEHICLES

30 : BALANCING OF ROTATING MASSES

31 : VIRTUAL WORK

32 : THE CATENARY

33 : BELT AND ROPE DRIVE

34 : TOOTHED GEARING

35 : LIFTING MACHINES

36 : MECHANICAL VIBRATIONS

37 : HYDROSTATICS

38 : IMPACT OF JETS

Appendix 1 : Selected mathematics

Appendix 2 : Objective questions

INDEX

Checklist

## Detailed Contents

**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

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

Exercise 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 Spatial forces**

7-1. Concurrent forces in space

7-2. Moment of a force

7-3. Resultant of spatial force system

7-4. Wrench resultant

Examples VII

**Chapter 8 equilibrium of coplanar force systems**

8-1. Equilibrium

8-2. Equilibrium of a particle

8-3. Resultant and equilibrant

8-4. Principle of action and reaction

8-5. Free body and free body diagram

8-6. Tensions of strings

8-7. Equilibrium of three forces acting on a particle: Lami’s theorem

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

8-9. External and internal forces

8-10. Tension and compression

8-11 Connected bodies

8-12. Equilibrium of a rigid body

8-13. Conditions of equilibrium for a system of coplanar forces

acting on a body

8-14. Types of supports

8-15. Solution of problems

Examples VIII

**Chapter 9 reactions**

9-1. Axial and transverse forces

9-2. Structural members

9-3. Types of beams

9-4. Reactions by proportions

9-5. Reactions by equations of statics: Principle of super-position

9-6. Determinate and indeterminate beams/structures

Examples IX

**Chapter 10 Equilibrium of SPATIAL FORCE SYSTEMS**

10-1. Equilibrium of spatial force systems

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. Centroids

11-5. First moment of an element of line and area

11-6. First moment of a line segment and a finite area

11-7. Centroids of lines and areas

11-8. Centroids of symmetrical lines and areas

11-9. Centroids by integration

11-10. Summary of centroids of common figures

11-11. Centroids of composite lines and areas

11-12. Theorems of Pappus — Guldinus

11-13. Centroid of volumes

Examples XI’

**Chapter 12 Trusses**

12-1. Engineering applications of connected bodies

TRUSSES

12-2. Introductory

12-3. Assumptions made in the analysis of a truss

12-4. Truss notations

12-5. Common types of trusses

12-6. Analysis of a truss

12-7. Method of joints

12-8. Method of sections

12-9. Determinateness of a truss

12-10. Truss with two hinges

12-11. Space trusses

Examples XII

**Chapter 13 Frames and mechanisms**

13-1. Frames and mechanisms

Examples XIII

**Chapter 14 Graphic statics**

14-1. Introductory

14-2. Basic concepts

14-3. Conditions of equilibrium of a point

14-4. Three force equilibrium of coplanar, non-concurrent, non-parallel

forces

14-5. Resultant of non-concurrent, non-parallel forces: Funicular

polygon

14-6. Resultant of parallel forces

14-7. Parallel forces: Centroid problems

14-8. Graphical conditions of rigid body equilibrium

14-9. Reactions of beams and trusses

14-10. Graphical methods applied to trusses

14-11. Force diagrams for individual joints of a truss

14-12. The Maxwell diagram

14-13. Method of substitution

14-14. Truss with two hinges with inclined loads

Examples XIV

**Chapter 15 moments of inertia**

15-1. Introduction

Area Moment of Inertia

15-2. Definitions

15-3. Radius of gyration

15-4. Parallel axis theorem

15-5. Moment of inertia by integration

15-6. Moment of inertia of composite areas

15-7. 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. Definitions

15-10. Parallel axis theorem

15-11. Moment of inertia of thin plates

15-12. Moments of inertia of standard forms

15-13. Moment of inertia of composite bodies

Examples XV

**Chapter 16 Friction**

16-1. Introduction

16-2. Types of friction

16-3. Characteristics of dry friction

16-4. Angle of friction: Cone of friction

16-5. Angle of repose

16-6. Types of problems

16-7. Equilibrium on a rough inclined plane

Applications of Friction

16-8. The wedge

16-9. The screw

16-10. Screw-jack

16-11. Journal bearings, axle friction

16-12. Thrust bearings: Disc friction

16-13. Thrust bearing: Uniform wear

16-14. Friction plate clutches

16-15. Rolling resistance

Examples XVI

**Chapter 17 Rectilinear motion of a particle**

17-1. Motion of a particle

17-2. Speed

17-3. Velocity

Rectilinear motion

17-4. Definitions

17-5. Motion under constant acceleration

17-6. Motion under gravity

Examples XVII

**Chapter 18 Motion under variable acceleration**

18-1. Motion under variable acceleration

18-2. Vector calculus

Examples XVIII

**Chapter 19 Relative motion of a particle**

19-1. Relative motion of a particle

19-2. Motion of connected particles

Examples XIX

**Chapter 20 Curvilinear motion of a particle**

20-1. Introductory

20-2. Velocity, Acceleration and Hodograph

20-3. Rectangular components of curvilinear motion

20-4. Normal and tangential components: Intrinsic co-ordinates

20-5. Radial and transverse components: Cylindrical co-ordinates

20-6. Angular motion of a line

20-7. Circular motion of a particle

20-8. Simple Harmonic Motion

20-9. Projectiles: Motion in a vertical plane under gravity

20-10. Motion of a projectile on an inclined plane

Examples XX

**Chapter 21 Kinematics of rigid bodies**

21-1. Introduction

21-2. Translation

21-3. Fixed axis rotation

21-4. General plane motion

21-5. Absolute motion analysis

21-6. Relative motion analysis

21-7. Instantaneous centre: Centrodes

Examples XXI

**Chapter 22 Kinematics of particles: laws of motion**

22-1. Introduction

22-2. Inertia and mass: Inertia

22-3. Newton’s laws of motion: First law

22-4. Newton’s second law

22-5. Inertial frame

22-6. Equations of motion

22-7. Constant force acting on a particle

22-8. Variable force acting on a particle

22-9. Motion of a lift

22-10. Motion on a rough inclined plane

22-11. Motion of connected bodies

22-12. D’Alembert’s principle: Dynamic equilibrium

22-13. Curvilinear motion

22-14. Circular motion

22-15. Newton’s law of gravitation

Examples XXII

**Chapter 23 Kinetics of Particles: work and energy**

23-1. Introductory

Work and energy method

23-2. Work done by a force

23-3. Standard cases

23-4. Power and efficiency

23-5. Energy

23-6. Conservative forces

23-7. Principle of conservation of energy

23-8. Total mechanical energy

23-9. Extraneous forces

Examples XXIII

**Chapter 24 Kinetics of Particles: impulse and momentum**

24-1. Linear momentum

24-2. Linear impulse

24-3. Variable force with time

24-4. Impulsive forces

24-5. Angular momentum

24-6. Angular impulse

Examples XXIV

**Chapter 25 Central force motion**

25-1. Introductory

25-2. Central force motion

25-3. Trajectory of a particle under a central force

25-4. Launching of a space vehicle

25-5. Escape velocity: Particle orbits

25-6. Periodic time of an orbit

25-7 Communication satellite

25-8. Kepler’s laws of planetary motion

Examples XXV

**Chapter 26 Collisions**

26-1. Collision of two bodies: Impact

26-2. Definitions

26-3. Phenomenon of impact

26-4. The general condition

26-5. Collision of perfectly elastic bodies

26-6 Inelastic collisions

26-7. Collision of partially elastic bodies

26-8. Oblique impact on a smooth horizontal plane

26-9. Oblique impact of two smooth spheres

Examples XXVI

**Chapter 27 Kinetics of systems of particles**

27-1. Introduction

27-2. Application of law of motion for system of particles

27-3. Principle of motion of mass centre

27-4. Work-energy

27-5. Linear and angular momentum of a system of particles

27-6. Principle of impulse and momentum for a system of particles

Examples XXVII

**Chapter 28 Kinetics of rigid bodies**

28-1. Introduction

28-2. Translation

Rotation

28-3. Rotational motion

28-4. Work done by a couple: Kinetic energy of rotation

28-5. Impulse and momentum

Plane motion

28-6. Wheel rolling without slipping

Special topics

28-7. Flywheels

28-8. Centre of Percussion

Examples XXVIII

**Chapter 29 Motion of vehicles**

29-1. Motion of vehicles

29-2. Tractive resistance

29-3. Tractive force

29-4. Driving torque

29-5. Maximum possible tractive effort

29-6. Power to drive a vehicle

29-7. A truck rolling down a rough inclined plane

29-8. Motion of a truck along level track

29-9. Motion of a truck going round a curve

29-10. Banking a curve: Super-elevation

Examples XXIX

**Chapter 30 Balancing of rotating masses**

30-1. Static and Dynamic balance

30-2. Balancing of several masses in the same plane of

revolution

30-3. Dynamical loads at bearings

30-4. Balancing of a mass by two masses in different planes of

revolution

Examples XXX

**Chapter 31 Virtual work**

31-1. Introductory

31-2. Principle of virtual work

Examples XXXI

**Chapter 32 The catenary**

32-1. The Catenary

32-2. The parabolic chain

32-3. The length of the cable

Examples XXXII

**Chapter 33 belt and rope drive**

33-1. Belt drive

33-2. Velocity ratio

33-3. Compound belt drive

33-4. Length of belt: Open drive

33-5. Length of belt: Crossed drive

33-6. Transmission of power

33-7. Centrifugal tension

33-8. Optimum speed for maximum power

33-9. Rope drive

Examples XXXIII

**Chapter 34 Toothed Gearing**

34-1. Introduction

34-2. Friction wheels

34-3. Toothed wheels: Definitions

34-4. Motion transmitted by toothed gearing

34-5. Forms of wheel teeth

34-6. Trains of wheels

34-7. Design of wheel trains

34-8. Wheel train for a 12-hour clock

34-9. Screw-cutting Lathe

34-10. Lathe back-gear for speed reduction

34-11. Three-speed gear-box of a motor car

34-12. Epicyclic gearing

34-13. Epicyclic trains with bevel wheels

34-14. Humpage’s speed-reduction gear

34-15. The differential gear

34-16. Epicyclic gearing: alternate method

Examples XXXIV

**Chapter 35 Lifting Machines**

35-1. Definitions

35-2. Basic machines

35-3. Differential wheel and axle

35-4. Differential pulley-block

35-5. Differential screw

35-6. Pulley-blocks

35-7. Lifting machines with toothed gearing

35-8. Worm gearing

35-9. Worm geared screw jack

35-10. Worm geared pulley block

35-11. Linear law of machines

35-12. Reversibility of a machine

35-13. Compound efficiency

Examples XXXV

**Chapter 36 Mechanical Vibrations**

36-1. Introduction

36-2. Classification of vibrations

36-3. Vibration parameters

36-4. Free undamped vibrations of a particle: Spring-mass system

36-5. Composite springs

36-6. Simple pendulum

36-7. Conical pendulum

36-8. Compound pendulum

Examples XXXVI

**Chapter 37 Hydrostatics**

37-1. Introductory: Fluids and liquids

37-2. Liquid pressure

37-3. Relation of pressure to depth in a liquid

37-4. Total thrust on a plane vertical area immersed in a liquid:

Centre of Pressure

37-5. Total thrust on an inclined plane area immersed in a liquid

37-6. Floatation and Buoyancy

Conditions of Equilibrium of a Floating Body

37-7. Metacentre

37-8. Metacentric height

Examples XXXVII

**Chapter 38 Impact of jets**

38-1. Force exerted by a jet

38-2. Flat plates: Stationary as well as moving

38-3. Curved vanes

38-4. Pelton wheel: Turbines

Examples XXXVIII

**Appendix 1 Selected mathematics**

**Appendix 2 Objective questions**

**Index**

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