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Engineering Mechanics  
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ISBN: 9789394524330

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Description

Table of contents

Biographical note

This text book is designed to suit the needs of the syllabus of the course Engineering Mechanics of Anna University R 2013 of various disciplines of engineering (Aeronautical, Automobile, Chemical, Civil, Marine, Material Science, Mechanical, Mechatronics, Production, Robotics).

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Description

This text book is designed to suit the needs of the syllabus of the course Engineering Mechanics of Anna University R 2013 of various disciplines of engineering (Aeronautical, Automobile, Chemical, Civil, Marine, Material Science, Mechanical, Mechatronics, Production, Robotics).

Table of contents
  • Cover
  • Title Page
  • Copyright Page
  • Contents
  • Preface
  • List of Symbols
  • Chapter 1 BASIC CONCEPTS AND UNITS AND DIMENSIONS; REVIEW OF VECTOR AND VECTOR OPERATIONS
    • 1.1 Introduction
    • 1.2 Concepts
    • 1.3 Historic Background
    • 1.4 Newton’s Laws
    • 1.5 Physical Quantities
    • 1.6 Units and Dimensions
    • 1.7 Vectors and Vector Operations
      • 1.7.1 Scalars
      • 1.7.2 Vectors
      • 1.7.3 Unit Vector
      • 1.7.4 Direction Cosines
      • 1.7.5 Components of a Vector in Space
      • 1.7.6 Vector Classification
    • 1.8 Vector Operations
      • 1.8.1 Vector Addition
      • 1.8.2 Multiplication of Vectors
      • 1.8.3 Derivatives of Vectors
    • Check What You Have Learnt
    • Problems for Practice
  • Chapter 2 STATICS OF A PARTICLE
    • 2.1 General
    • 2.2 Types of Forces
    • 2.3 Planar Concurrent Forces – Resultant
      • 2.3.1 Graphical Method
      • 2.3.2 Vector Approach for Finding the Resultant
    • 2.4 Resolution of Forces
    • 2.5 Static Equilibrium of Forces on a Particle
      • 2.5.1 Equilibrant and Resultant
    • 2.6 Support Reactions
    • 2.7 Concept of Free Body
    • 2.8 Space Concurrent Forces
      • 2.8.1 Components of Space Force
      • 2.8.2 Resultant of Space Forces
    • 2.9 Equilibrium of Space Concurrent Forces
    • Check What You Have Learnt
    • Problems for Practice
  • Chapter 3 STATICS OF RIGID BODIES
    • 3.1 Introduction
    • 3.2 Transmissibility of a Force
    • 3.3 Moment of a Force
    • 3.4 Varignon’s Theorem
    • 3.5 Moment of Planar Forces
    • 3.6 Couple
    • 3.7 Equivalent Force and Couple
    • 3.8 Moment of Space Forces
      • 3.8.1 Moment About Any Point A
      • 3.8.2 Moment About An Axis
    • 3.9 Static Equilibrium of Rigid Bodies
    • 3.10 Statically Determinate Bodies
    • 3.11 Support Reactions
      • 3.11.1 Support Reactions – Planar Forces and Planar Motions
      • 3.11.2 Support Reactions – Space Forces and Space Motions
    • Check What You Have Learnt
    • Problems for Practice
  • Chapter 4 CENTRAL POINTS-CENTROID, CENTER OF MASS AND CENTER OF GRAVITY
    • 4.1 Introduction – Distributed Forces
    • 4.2 First Moment Theorem
    • 4.3 Centroid of a Line
      • 4.3.1 Centroid of a Composite Line
    • 4.4 Centroid of an Area
      • 4.4.1 Centroid of Composite Areas
    • 4.5 Pappus–Guldinus Theorems
    • 4.6 Centroid of a Volume
      • 4.6.1 Classical Integration Method
      • 4.6.2 Centroid of Composite Volumes
    • 4.7 Center of Mass (Mass Centre)
    • 4.8 Center of Gravity
    • Check What You Have Learnt
    • Problems for Practice
    • Appendix
  • Chapter 5 MOMENT OF INERTIA: AREA AND MASS
    • 5.1 Introduction
      • 5.1.1 Second Moment of Forces
    • 5.2 Area Moment of Inertia: (Plane Areas)
      • 5.2.1 Area Moment of Inertia – Integration Method
    • 5.3 Perpendicular Axis Theorem
    • 5.4 Radius of Gyration
    • 5.5 Parallel Axis Theorem (Transfer of Axes)
    • 5.6 Moment of Inertia of Composite Areas
    • 5.7 Product of Inertia
      • 5.7.1 Product of Inertia When One of the Axes is an Axis of Symmetry
      • 5.7.2 Use of Parallel Axis Theorem to Find Product of Inertia
    • 5.8 Rotation of Axes
      • 5.8.1 Principal Moments of Inertia
    • 5.9 Mohr’s Circle
      • 5.9.1 Graphical Construction of Mohr’s Circle
    • 5.10 Mass Moment of Inertia
      • 5.10.1 Mass Moment of Inertia for a Particle
      • 5.10.2 Mass Moment of Inertia for a Rigid Body
    • 5.11 Radius of Gyration
    • 5.12 Parallel–Axis Theorem
    • 5.13 Mass Moment of Inertia of a Thin Homogeneous Plate of Uniform Thickness – Relationship with Area Moment of Inertia
    • 5.14 Mass Moment of Inertia of Solids of Simple Shapes
    • Check What You Have Learnt
    • Problems for Practice
    • Appendix
  • Chapter 6 FRICTION
    • 6.1 Introduction
    • 6.2 Types of Friction
      • 6.2.1 Dry Friction
      • 6.2.2 Fluid Friction
      • 6.2.3 Rolling Friction
    • 6.3 Characteristics of Dry Friction
    • 6.4 Theory of Dry Friction
      • 6.4.1 Adhesion Theory
    • 6.5 Coefficient of Friction and Angle of Friction
    • 6.6 Friction Cone
    • 6.7 Angle of Repose
    • 6.8 Assessment of Friction Force
    • 6.9 Wedge
    • 6.10 Ladder
    • 6.11 Belts and Ropes
    • 6.12 Effect of Rolling Friction
    • Check What You Have Learnt
    • Problems For Practice
  • Chapter 7 KINEMATICS OF PARTICLES
    • 7.1 Introduction
      • 7.1.1 Types of Motion For a Particle
    • 7.2 Rectilinear Motion
      • 7.2.1 Position and Displacement
      • 7.2.2 Velocity and Acceleration
      • 7.2.3 Motion With Acceleration as a Function of Time
      • 7.2.4 Motion With Acceleration as a Function of Displacement
      • 7.2.5 Motion With Acceleration as a Function of Velocity
      • 7.2.6 Motion With Uniform Velocity
      • 7.2.7 Uniformly Accelerated Motion
    • 7.3 Curvilinear Motion
      • 7.3.1 Velocity and Acceleration
      • 7.3.2 Curvilinear Motion: x–y Coordinates
      • 7.3.3 Projectile Motion
      • 7.3.4 Curvilinear Motion – Tangential and Normal Components
      • 7.3.5 Curvilinear Motion – Radial and Transverse Components
    • 7.4 Relative Motion
      • 7.4.1 Relative Motion of Particles Along the Same Line
      • 7.4.2 Relative Motion – Curvilinear Path
    • 7.5 Dependant Relative Motion
    • Check What You Have Learnt
    • Problems For Practice
  • Chapter 8 KINEMATICS OF RIGID BODIES
    • 8.1 General
    • 8.2 Types of Motion for a Rigid Body
    • 8.3 Rectilinear Translation
    • 8.4 Curvilinear Translation – Planar
    • 8.5 Planar Rotation of a Body
    • 8.6 General Plane Motion of a Rigid Body
    • 8.7 Method of Relative Motion
    • 8.8 Instantaneous Centre of Rotation
    • 8.9 Acceleration of Any Point – Body in General Plane Motion
    • Check What You Have Learnt
    • Problems For Practice
  • Chapter 9 KINEMATICS OF PARTICLES-FORCE/ACCELERATION APPROACH
    • 9.1 Introduction
    • 9.2 Force-Acceleration Relationship – Equation of Motion
    • 9.3 Dynamic Equilibrium – D’Alembert Principle
    • 9.4 Equation of Motion – Planar Curvilinear Motion
      • 9.4.1 x-y Components
      • 9.4.2 Normal and Tangential Components
      • 9.4.3 Radial and Transverse Components
    • 9.5 Motion of a Particle Under a Central Force
    • Check What You Have Learnt
    • Problems For Practice
  • Chapter 10 KINEMATICS OF PARTICLES-WORK/ENERGY APPROACH
    • 10.1 Introduction
    • 10.2 Concept of Work
    • 10.3 Special Cases of Work Done
      • 10.3.1 Rectilinear Motion with Constant Force
      • 10.3.2 Work Done on a Body by the Gravitational Force (Body at Low Altitude)
      • 10.3.3 Work Done by a Gravitational Force (Body at High Altitude)
      • 10.3.4 Work Done by a Spring Force
    • 10.4 Kinetic Energy of a Body
    • 10.5 Work Done with Dissipative Forces
    • 10.6 Potential Energy
      • 10.6.1 Potential Energy of Bodies Far Away from Earth
      • 10.6.2 Potential Energy in Springs
    • 10.7 Conservation of Energy
    • 10.8 Transformation of Energy
    • 10.9 Power and Efficiency
    • 10.10 Work Done and Change in Potential Energy – Conservative System
    • Check What You Have Learnt
    • Problems for Practice
  • Chapter 11 KINEMATICS OF PARTICLES-IMPULSE-MOMENTUM APPROACH
    • 11.1 Introduction
    • 11.2 Impulse
    • 11.3 Impulse-Momentum Relation
    • 11.4 Impulsive Forces and Impulsive Motion
    • 11.5 Conservation of Momentum
    • 11.6 Impact
      • 11.6.1 Central Impact
      • 11.6.2 Non-Central Impact
      • 11.6.3 Direct Impact
      • 11.6.4 Oblique Impact
      • 11.6.5 Direct Central Impact
    • 11.7 Oblique Impact
    • 11.8 Motion Involving Impulse, Momentum and Energy
    • Check What You Have Learnt
    • Problems for Practice
  • Chapter 12 KINETICS OF RIGID BODIES
    • 12.1 General
    • 12.2 Rectilinear Translation - Equation of Motion
    • 12.3 Curvilinear Translation
    • 12.4 Rotation About a Fixed Axis
      • 12.4.1 Moment of Forces About the Axis of Rotation
      • 12.4.2 Moment of Effective Forces About O
      • 12.4.3 Rotation About the Mass Centre
    • 12.5 Work Done on a Rigid Body
      • 12.5.1 Work Done in Pure Translation
      • 12.5.2 Work Done in Pure Rotation about Mass Centre
      • 12.5.3 Work Done on a Rigid Body in General Plane Motion
    • 12.6 Kinetic Energy of a Rigid Body
    • 12.7 Kinetic Energy of Rigid Body in Non-Centroidal Rotation
    • 12.8 Conservation of Energy and Momentum Principle for a Rigid Body
    • 12.9 Power Given to a Rigid Body by External Forces
    • Check What You Have Learnt
    • Problems for Practice
  • Conversion Factors
  • Index
Biographical note

R. Murugan is Associate Professor of Mechanical Engineering Department at Sri Venkateswara College of Engineering, Sriperumbudur. He has more than 19 years of experience in teaching Engineering Mechanics, Engineering Graphics, Theory of Machines, and Machine Design. He has been actively involved with Prof. T.V. Balasubramanian in coordination, course material preparation, and continuous assessment in the Course - Engineering Mechanics for students of various branches in the B.E. programme in Sri Venkateswara College of Engineering.

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