Engineering Mechanics: Vector and Classical Approach (All india)

Description

Engineering mechanics is a basic course taught to students of all branches in their very first year of undergraduate curriculum. In this course, students are taught to model actual field problems into engineering problems and find the solutions using laws of mechanics. The skill developed through this course helps in breaking a large problem into a set of small parts and finding the solution for each part maintaining the continuity. This enhances the analytical capability of the Cover Preface to the Second Edition Preface to the First Edition Contents Chapter-1. Basics 1.1 Basic Terminologies in Mechanics 1.2 Laws of Mechanics 1.3 Units 1.4 Dimensions 1.5 Characteristics of a Force 1.6 System of Forces 1.7 Vectors 1.8 Vectorial Representation of Forces and Moments 1.9 Position Vector 1.10 Addition of Vectors 1.11 Subtraction of Vectors 1.12 Product of a Vector with a Scalar Quantity 1.13 Displacement Vector 1.14 Dot Product of Vectors 1.15 Cross Product of Vectors Important Definitions and Concepts Important Formulae Problems for Exercise Chapter-2. Statics of Particles 2.1 Resolution of Concurrent Coplanar Forces 2.2 Composition of Concurrent Coplanar Forces 2.3 Equilibriant of System of Forces 2.4 Equilibrium of Particles Subject to Coplanar Forces 2.5 Resolution of Forces in Space 2.6 Resultant of Concurrent Force System in Space 2.7 Equilibrium of Particles Subject to System of Forces in Space Important Definitions and Concepts Important Formulae Problems for Exercise Chapter-3. Statics of Rigid Bodies 3.1 Moment of a Force about a Point 3.2 Components of Moments 3.3 Moment of a Force about a given Axis 3.4 Varignon’s Theorem of Moments 3.5 Couple-Moment 3.6 Types of Vectors 3.7 Resolution of a Force into a Force and a Couple 3.8 Resultant of Non-concurrent Force System 3.9 Wrench Resultant 3.10 Equilibrium of Rigid Bodies (Equilibrium of Non-concurrent Force System) 3.11 Beams Important Definitions and Concepts Important Formulae Problems for Exercise Chapter-4. Friction 4.1 Frictional Force 4.2 Laws of Coloumb Friction 4.3 Equilibrium Analysis of Simple System with Sliding Friction 4.4 Rolling Resistance 4.5 Belt Friction Important Definitions and Concepts Important Formulae Problems for Exercise Chapter-5. Properties of Surfaces and Solids 5.1 Determination of Areas and Volumes 5.2 Centre of Gravity and Centroids 5.3 Centroid of a Line 5.4 First Moment of Area and Centroid 5.5 Second Moments of Plane Area 5.6 Moment of Inertia from First Principles 5.7 Moment of Inertia of Composite Sections 5.8 Product Moment of Plane Area 5.9 Principal Moment of Inertia 5.10 Theorems of Pappus–Guldinus 5.11 Centre of Gravity of Solids 5.12 Mass Moment of Inertia 5.13 Determination of Mass Moment of Inertia from First Principles 5.14 Relation between Mass Moment of Inertia and Area Moment of Inertia Important Definitions and Concepts Important Formulae Problems for Exercise Chapter-6. Dynamics of Particles—Kinematics 6.1 Terminologies in Dynamics 6.2 Rectilinear Motion 6.3 Motion Curves 6.4 Motion with Uniform Velocity 6.5 Motion with Uniform Acceleration 6.6 Acceleration Due to Gravity 6.7 Motion with Varying Acceleration 6.8 Plane Curvilinear Motion Referred to Rectangular Coordinates 6.9 Motion of Projectiles 6.10 Tangential and Normal Accelerations 6.11 Rotational Motion 6.12 Plane Curvilinear Motion in Polar Coordinates 6.13 Curvilinear Motion in Space 6.14 Relative Motion Important Definitions and Concepts Important Formulae Problems for Exercises Chapter-7. Dynamics of Particles-Kinetics 7.1 Newton’s Law—D’Alembert’s Principles 7.2 Work–Energy Method 7.3 Impulse Momentum 7.4 Impact of Elastic bodies Important Definitions and Concepts Important Formulae Problems for Exercise Chapter-8. Elements of Rigid Body Dynamics 8.1 Types of Rigid Body Motion 8.2 Kinematics of Rigid Body Motion 8.3 Kinetics of Rigid Body Translation 8.4 Kinetics of Rigid Body Rotation 8.5 Kinetics of Rigid Body Plane Motion—D’Alembert’s Principle 8.6 Impulse Momentum Method 8.7 Work-Energy Principle Important Definitions and Concepts Important Equations Problems for Exercise