Engineering Mechanics

Abhijit Chanda, Debabrata Nag

ISBN: 9788126570935

520 pages

eBook also available for institutional users 

INR 579

Description

Engineering Mechanics provides a comprehensive coverage for the Mechanical Engineering

students and Practicing Engineers. With the purpose of providing a smooth transition from high

school mathematics to Engineering Mechanics, a separate dedicated chapter on Vector Algebra

has been introduced at the beginning of this book. The subject matter has been presented with

essential and coherent theoretical background. It also highlights the applications of the theory

learnt through a wide number of worked-out Solved Examples arranged in increasingly difficult

level.

Preface

 

Statics

 

Chapter 1 a Quick Glimpse to Vector algebra

1.1 Introduction

1.2 Unit Vector

1.3 Direction Cosines

1.4 Vector as a Line Segment

1.5 Position Vector

1.6 Vector Addition and Subtraction

1.7 Product of Two Vectors

1.8 Vector Equation

1.8.1 Linearly Independent Vectors

1.9 A Look to Different Coordinate Systems

 

Chapter 2 introduction to Mechanics

2.1 Mechanics – Basic Definitions

2.2 Idealisations and Basic Assumptions

2.3 Dimensions, Law of Dimensional Homogeneity and Units

 

Chapter 3 Vector Mechanics

3.1 Introduction

3.2 An Introduction to Vector Algebra

3.3 Miscellaneous Vectors

3.4 Vector Resolution and Cartesian Vector

3.5 Position Vector

3.6 Product of Vectors

3.7 Couple-Moment

 

Chapter 4 Equivalent Force and Moment

4.1 Introduction

4.2 Basic Concept

4.3 Varigon’s Theorem of Moment

 

Chapter 5 Equilibrium

5.1 Introduction

5.2 Analysis Methodology

5.3 Free Body Diagrams

5.4 Two-Force Member

5.5 Three-Force Member

5.6 Frames and Machines

 

Chapter 6 Truss

6.1 Introduction

6.2 Types of Truss

6.3 Analysis of Truss

 

Chapter 7 Friction

7.1 Introduction

7.2 Governing Equation of Friction

7.3 Steps of Analysis

7.4 Friction in Simple Machines

 

Chapter 8 Central Points and Properties of Surfaces

8.1 Introduction

8.2 Centre of Mass and Centre of Gravity

8.3 Area Moment of Inertia

8.4 Product Area-Moment of Inertia

8.5 Parallel Axis Theorem

8.6 Perpendicular Axis Theorem

8.7 Area Moment of Inertia for Composite Area

8.8 Centroid of Shell Element

 

Chapter 9 Distributed Force Systems

9.1 Introduction

9.2 Types of Distributed Load

9.3 Analysis of Plane Distributed Load

 

Chapter 10 Virtual Work

10.1 Introduction

10.2 Virtual Work Theorems and Equation of Equilibrium Formulations

 

Dynamics

 

Chapter 1 Particle Kinematics

Objectives

1.1 Introduction

1.2 Study of Kinematics

1.3 Rectilinear Motion

1.4 Plane Curvilinear Motion in X-Y Coordinates

1.5 n-t Coordinates for Curvilinear Motion

1.6 Curvilinear Motion in Polar Coordinates

1.7 Kinematics of Connected Bodies

 

Chapter 2 Kinetics

2.1 Introduction

2.2 Kinetics of a Particle

2.3 Two-Dimensional Kinetics of a Slab-Like Rigid Body

2.4 D’Alembert’s Principle

2.5 Types of Kinetics Problems

 

Chapter 3 Work, Energy and Power

3.1 Introduction

3.2 Work Done by Various Types of Forces

3.3 Energy

3.4 Conservative Forces

3.5 Work–Energy Principle

3.6 Power

 

Chapter 4 Momentum and Impulse

4.1 Impulse and Linear Momentum of a Particle

4.2 Angular Momentum

4.3 Conservation of Linear Momentum

4.4 Conservation of Angular Momentum

4.5 Linear Momentum for a System of Mass Particles

4.6 Impulsive Forces and Moments

4.7 Collision of Bodies

 

Chapter 5 Dynamics of System of Particles

5.1 Introduction

5.2 Kinematics of System

5.3 Kinetics of the System

 

Chapter 6 Plane Kinematics of Rigid Body

6.1 Rigid Body

6.2 Motion of Rigid Body in Two Dimensions

6.3 Instantaneous Centre of Velocity

6.4 Piston Displacement and Velocity of a Reciprocating Mechanism

6.5 Special Discussion on the Locus of a Point on the Connecting Rod

6.6 Rolling Motion of Cylinder-Like Body

 

Chapter 7 Rotational Kinetics of Rigid Bodies

7.1 Introduction

7.2 Equations of Motion of Body Undergoing Plane Fixed-Axis Rotation

7.3 D’Alembert’s Principle

7.4 Mass-Moment of Inertia

 

Chapter 8 Introduction to Dynamics of Vibration

8.1 Introduction

8.2 Free Vibration of an SDOF System

8.3 Consideration of Mass of the Spring Element

8.4 Damped Free Vibration of Single Degree of Freedom System

8.5 Viscous Damping

8.6 Forced Vibration of Single Degree of Freedom System

8.7 Forced Vibration

 

Solved Examples

Practice Problems

Index

 

 

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