Engineering Mechanics.
Babu, Jaget.
Engineering Mechanics. - 0 - 1 online resource (949 pages)
Cover -- Contents -- Preface -- Chapter 1: Introduction to Mechanics -- 1.1 Mechanics -- 1.1.1 Statics -- 1.1.2 Dynamics -- 1.2 Fundamental Concepts and Axioms -- 1.2.1 Rigid body -- 1.2.2 Mass -- 1.2.3 Force -- 1.3 The Principle of Transmissibility of a Force -- 1.4 Laws of Mechanics -- 1.4.1 Newton's First Law of Motion -- 1.4.2 Newton's Second Law of Motion -- 1.4.3 Newton's Third Law of Motion -- 1.4.4 Law of Gravitational Attraction -- 1.5 Units of Measurement -- 1.5.1 SI Units -- 1.6 Dimensional Homogeneity -- 1.7 Scalar and Vector Quantities -- Chapter 2: Force, Resultant, Resolution -- 2.1 First Concept of Resultant of Forces, Resolution of Forces -- 2.2 The Law of Parallelogram of Forces -- 2.3 Resolution of Forces -- 2.3.1 How a Force is Resolved -- 2.3.2 Orthogonal Components of a Force -- 2.3.3 Determination of the Rectangular Components of a Force -- 2.4 Resultant of Coplanar Concurrent Forces -- 2.4.1 Graphical Method -- 2.4.2 Analytical Method -- Chapter 3: Basics of Vector Algebra -- 3.1 Introduction -- 3.2 Preliminary Considerations -- 3.2.1 Addition -- 3.2.2 Subtraction -- 3.3 Components of a Force Vector -- 3.3.1 Directions Cosines -- 3.4 Unit Vectors -- 3.5 Vector Representation -- 3.6 Scalar or Dot Product of Two Vectors -- 3.7 Cross-Product of Two Vectors -- 3.8 Position Vector -- 3.9 Moment of a Force About a Point -- 3.10 Varignon's Theorem (or Principle of Moments) -- 3.11 Moment of a Force About a Line -- 3.11.1 Vector Analysis -- 3.11.2 Couple -- Chapter 4: Resultants of any Force Systems -- 4.1 Resultant of Force Systems -- 4.2 Resultant of Given Force Systems -- 4.2.1 Resultant of Coplanar Force Systems -- 4.2.2 Resultant of Parallel Force Systems in Space -- 4.3 Resultant of a Simple Distributed Loading -- 4.3.1 Resultant Force: Magnitude -- 4.3.2 Position of the Resultant Force. Chapter 5: Equilibrium of Bodies (Scalar and Vector Methods) -- 5.1 Newton's First Law of Motion -- 5.2 The Free-Body Diagram -- 5.2.1 Procedure for Drawing an FBD -- 5.2.2 Examples of FBDs -- 5.3 Equations of Equilibrium -- 5.4 Equilibrium of Planar Force Systems -- 5.5 Bodies Subjected to Two Equivalent Loadings -- 5.6 Equations of Equilibrium -- 5.6.1 Equilibrium of Spatial Force Systems: Three-Dimensional Applications -- 5.6.2 Supports -- 5.6.3 Equilibrium Equation -- 5.7 Vectorial Formulation of Forces in Space -- 5.7.1 Computation of Scalar Triple Product -- Chapter 6: Virtual Work -- 6.1 Concept of Work -- 6.2 Preliminary to the Virtual Work Method -- 6.3 The Principle of Virtual Work -- 6.3.1 Degrees of Freedom of a System -- Chapter 7: Friction -- 7.1 Definition of Friction -- 7.2 Principles of Friction -- 7.3 Why Does Friction Between Two Contacting Solid Bodies Occur? -- 7.4 Coefficient of Friction -- 7.5 Kinetic Friction Force -- 7.6 Angle of Friction -- 7.6.1 Definition of Angle of Friction -- 7.7 Experiment to Determine the Angle of Friction -- 7.8 Laws of Friction -- 7.9 Procedure for Analysis -- 7.10 Analysis of Equilibrium of Rigid Bodies Subjected to Frictional Force of Resistance -- 7.10.1 A Variation of the Solution -- 7.11 Friction at the Ends of a Ladder -- Chapter 8: Structural Mechanics: Trusses -- 8.1 Introduction -- 8.2 Trusses -- 8.3 Simplifying Assumptions for Design -- 8.4 Analysis of Truss -- 8.4.1 The Method of Joints -- 8.4.2 Sum of the Procedure for Analysis -- 8.5 Truss Analysis by the Method of Sections -- Chapter 9: Forces and Moments in Beams -- 9.1 First Concepts in Modeling Beams -- 9.1.1 Supports for Beams -- 9.2 Types of Load -- 9.2.1 Point Load -- 9.2.2 Distributed Load -- 9.2.3 Point of the Action of the Resultant Force -- 9.2.4 Support Reactions -- 9.2.5 Reaction Forces -- 9.2.6 Support Reactions. 9.2.7 Support Reactions -- 9.2.8 Point of Action of F on Shaft -- 9.2.9 Support Reactions -- 9.2.10 Resultant Moment of the Forces About Point B -- 9.2.11 Support Reactions -- Chapter 10: Flexible Cables -- 10.1 Analysis of Cables -- 10.1.1 General Formulas for All Flexible Cables Hanging Freely -- 10.2 Application to a Parabolic Curve -- 10.2.1 Length of the Cable -- 10.2.2 Length of the Cable -- 10.2.3 Alternative Expression for Cable Length -- 10.3 The Catenary Cable -- 10.3.1 Cable Subjected to Concentrated Loads -- 10.4 General Cable Theorem -- 10.4.1 Maximum Tension in the Cable -- 10.4.2 Maximum Tension in the Cable -- Chapter 11: Properties of Surfaces -- 11.1 Centroids -- 11.2 Planes and Lines of Symmetry -- 11.3 Centroids by Integration -- 11.4 Centroids of Composite Bodies -- 11.5 Pappus-Guldinus Theorems -- 11.6 Moments of Inertia -- 11.6.1 Moment of Inertia of Plane Areas -- 11.6.2 Unit of Moment of Inertia -- 11.6.3 Moment of Inertia of Plane Areas by Integration -- 11.7 Polar Moment of Inertia of Plane Areas -- 11.8 Radius of Gyration -- 11.9 Transfer Formula for Parallel Axes -- 11.10 Moment of Inertia of Composite Areas -- 11.11 Product of Inertia -- 11.12 Transfer Formula for Product of Inertia -- 11.13 Moment of Inertia with respect to Inclined Axes -- 11.14 Maximum and Minimum Moments of Inertia: Principal Axes -- 11.15 Mohr's Circle Method for Finding Moments of Inertia with respect to Inclined Axes -- Chapter 12: Kinematics of Particles -- 12.1 Introduction -- 12.1.1 Reference Frame -- 12.1.2 Gravitational Force -- 12.1.3 Equation of Kinetics for a Body or Praticle -- 12.2 Motion of a Particle -- 12.2.1 Velocity -- 12.2.2 Acceleration -- 12.2.3 Units -- 12.3 Rectilinear Motion -- 12.3.1 Sign Convention -- 12.3.2 Uniform Acceleration -- 12.4 Motion Curves -- 12.5 Vector Calculus. 12.6 Curvilinear Motion and Its Rectangular Components -- 12.7 Motion of a Projectile (Curvilinear Motion) -- 12.8 Normal and Tangential Components of Acceleration (Curvilinear Motion) -- Chapter 13: Relative Velocity -- 13.1 Motion Relative to a Frame in Translation -- Chapter 14: Kinematics of Rigid Bodies -- 14.1 Introduction -- 14.2 Translation -- 14.3 Angular Motion of Rigid Body: Rotation About Fixed Axis -- 14.4 Plane Motion: Relative Velocity Method -- 14.4.1 Chasle's Theorem -- 14.5 Kinematic Equations: Use Thereof -- 14.6 Instant Center and Instantaneous Axis of Rotation -- Chapter 15: Kinetics of Particles -- 15.1 Introduction -- 15.2 Translation of a Particle -- 15.2.1 Rectilinear Translation -- 15.3 Equations of Motion: Normal and Tangential Coordinates -- Chapter 16: Mass Moment of Inertia -- 16.1 Moment of Inertia of a Mass -- 16.2 Radius of Gyration -- 16.3 Parallel-Axis Theorem -- Chapter 17: Kinetics of Rigid Bodies: Newton's Law -- 17.1 Motion of Lifts and Connected Bodies -- 17.2 Newton's Second Law -- 17.3 Equation of Motion -- 17.4 Free-Body Diagram -- 17.5 Rectilinear Motion -- 17.6 Motion of Lift-Analysis -- 17.7 D'Alembert's Principle -- 17.7.1 D'Alembert's Principle -- 17.7.2 Comments on D'Alembert's Principle -- 17.7.3 Illustration on the Use of D'Alembert's Principle -- 17.8 Motion of Vehicles Around a Circular Path -- Chapter 18: Alternative Approach to Dynamics -- 18.1 Energy Method -- 18.2 Power -- 18.3 Conservative Force Fields -- 18.4 Conservation of Mechanical Energy -- 18.5 Alternative Form of Work-Energy Equation -- Chapter 19: Methods of Momentum -- 19.1 Alternate Approach to Dynamics -- 19.2 Linear Momentum Considerations for an Aggregate of Particles -- 19.3 Principle of Conservation of Linear Momentum -- 19.4 Impulse-Momentum Principle -- Chapter 20: Impact and Moment of Momentum -- 20.1 Impact. 20.2 Central Impact -- 20.3 Consideration of Deformation for Direct Central Impact -- 20.4 Coefficient of Restitution (e) -- 20.5 Relation Between e and Velocities of the Bodies -- 20.6 Oblique Central Impact -- 20.6.1 Energy Loss During Impact -- 20.6.2 Principle of Impulse and Momentum -- 20.6.3 Motion Along the Common Tangent (T-Axis) -- 20.6.4 Motion Along the Line of Impact (N-Axis) -- 20.7 Impact of a Body with a Huge Rigid Body or a Plane Surface -- 20.7.1 Work-Energy Principle -- 20.8 Moment of Momentum -- 20.9 Angular Momenta of a System of Particles -- 20.10 Angular Momentum About the Center of Mass -- 20.11 Conservation of Momentum of a System of Particles -- 20.12 Angular Impulse and Momentum of a System of Particles -- Chapter 21: Kinetics of Rigid Bodies: Work-Energy Approach -- 21.1 Basic Concept -- 21.2 Work-Energy Equation for a System of Particles -- 21.3 Work-Energy Relation for Rigid Bodies -- 21.4 Kinetic Energy of a Rigid Body in Plane Motion -- Chapter 22: Simple Harmonic Motion and Mechanical Vibrations -- 22.1 Introduction -- 22.1.1 Free Vibration -- 22.1.2 Damped Free Vibration -- 22.1.3 Forced Vibration -- 22.1.4 Period of Vibration -- 22.1.5 Cycle of Vibration -- 22.1.6 Frequency of Vibration -- 22.1.7 Amplitude -- 22.1.8 Simple Harmonic Motion (SHM) -- 22.2 Development of the Equation of Simple Harmonic Motion -- 22.3 Simple Pendulum -- 22.4 Graphical Representation of Simple Harmonic Motion -- 22.5 Free Vibrations Without Damping: Spring-Mass Model -- 22.6 Free Vibration-Work-Energy Method -- 22.7 Kinetic Energy and Potential Energy of Spring-Mass System -- 22.8 Torsional Vibration (Angular Vibration) -- Chapter 23: Simple Machines and Concept of Stresses -- 23.1 Simple Machines -- 23.1.1 Load or Resistance (W) -- 23.1.2 Mechanical Advantage (MA) -- 23.1.3 Load-Effort Relationship -- 23.2 Simple Wheel and Axle. 23.3 Differential Wheel and Axle.
With a clear writing style, comprehensive coverage and a variety of solved problems, Engineering Mechanics is a complete guide to students of engineering mechanics. The book uses both the scalar and vector approaches in explaining core concepts, which are preceded by a practical example. A large number of worked-out examples as well as numerous review questions and practice problems at the end of every chapter aid in the understanding and retention.
9789332509740
Electronic books.
620.1
Engineering Mechanics. - 0 - 1 online resource (949 pages)
Cover -- Contents -- Preface -- Chapter 1: Introduction to Mechanics -- 1.1 Mechanics -- 1.1.1 Statics -- 1.1.2 Dynamics -- 1.2 Fundamental Concepts and Axioms -- 1.2.1 Rigid body -- 1.2.2 Mass -- 1.2.3 Force -- 1.3 The Principle of Transmissibility of a Force -- 1.4 Laws of Mechanics -- 1.4.1 Newton's First Law of Motion -- 1.4.2 Newton's Second Law of Motion -- 1.4.3 Newton's Third Law of Motion -- 1.4.4 Law of Gravitational Attraction -- 1.5 Units of Measurement -- 1.5.1 SI Units -- 1.6 Dimensional Homogeneity -- 1.7 Scalar and Vector Quantities -- Chapter 2: Force, Resultant, Resolution -- 2.1 First Concept of Resultant of Forces, Resolution of Forces -- 2.2 The Law of Parallelogram of Forces -- 2.3 Resolution of Forces -- 2.3.1 How a Force is Resolved -- 2.3.2 Orthogonal Components of a Force -- 2.3.3 Determination of the Rectangular Components of a Force -- 2.4 Resultant of Coplanar Concurrent Forces -- 2.4.1 Graphical Method -- 2.4.2 Analytical Method -- Chapter 3: Basics of Vector Algebra -- 3.1 Introduction -- 3.2 Preliminary Considerations -- 3.2.1 Addition -- 3.2.2 Subtraction -- 3.3 Components of a Force Vector -- 3.3.1 Directions Cosines -- 3.4 Unit Vectors -- 3.5 Vector Representation -- 3.6 Scalar or Dot Product of Two Vectors -- 3.7 Cross-Product of Two Vectors -- 3.8 Position Vector -- 3.9 Moment of a Force About a Point -- 3.10 Varignon's Theorem (or Principle of Moments) -- 3.11 Moment of a Force About a Line -- 3.11.1 Vector Analysis -- 3.11.2 Couple -- Chapter 4: Resultants of any Force Systems -- 4.1 Resultant of Force Systems -- 4.2 Resultant of Given Force Systems -- 4.2.1 Resultant of Coplanar Force Systems -- 4.2.2 Resultant of Parallel Force Systems in Space -- 4.3 Resultant of a Simple Distributed Loading -- 4.3.1 Resultant Force: Magnitude -- 4.3.2 Position of the Resultant Force. Chapter 5: Equilibrium of Bodies (Scalar and Vector Methods) -- 5.1 Newton's First Law of Motion -- 5.2 The Free-Body Diagram -- 5.2.1 Procedure for Drawing an FBD -- 5.2.2 Examples of FBDs -- 5.3 Equations of Equilibrium -- 5.4 Equilibrium of Planar Force Systems -- 5.5 Bodies Subjected to Two Equivalent Loadings -- 5.6 Equations of Equilibrium -- 5.6.1 Equilibrium of Spatial Force Systems: Three-Dimensional Applications -- 5.6.2 Supports -- 5.6.3 Equilibrium Equation -- 5.7 Vectorial Formulation of Forces in Space -- 5.7.1 Computation of Scalar Triple Product -- Chapter 6: Virtual Work -- 6.1 Concept of Work -- 6.2 Preliminary to the Virtual Work Method -- 6.3 The Principle of Virtual Work -- 6.3.1 Degrees of Freedom of a System -- Chapter 7: Friction -- 7.1 Definition of Friction -- 7.2 Principles of Friction -- 7.3 Why Does Friction Between Two Contacting Solid Bodies Occur? -- 7.4 Coefficient of Friction -- 7.5 Kinetic Friction Force -- 7.6 Angle of Friction -- 7.6.1 Definition of Angle of Friction -- 7.7 Experiment to Determine the Angle of Friction -- 7.8 Laws of Friction -- 7.9 Procedure for Analysis -- 7.10 Analysis of Equilibrium of Rigid Bodies Subjected to Frictional Force of Resistance -- 7.10.1 A Variation of the Solution -- 7.11 Friction at the Ends of a Ladder -- Chapter 8: Structural Mechanics: Trusses -- 8.1 Introduction -- 8.2 Trusses -- 8.3 Simplifying Assumptions for Design -- 8.4 Analysis of Truss -- 8.4.1 The Method of Joints -- 8.4.2 Sum of the Procedure for Analysis -- 8.5 Truss Analysis by the Method of Sections -- Chapter 9: Forces and Moments in Beams -- 9.1 First Concepts in Modeling Beams -- 9.1.1 Supports for Beams -- 9.2 Types of Load -- 9.2.1 Point Load -- 9.2.2 Distributed Load -- 9.2.3 Point of the Action of the Resultant Force -- 9.2.4 Support Reactions -- 9.2.5 Reaction Forces -- 9.2.6 Support Reactions. 9.2.7 Support Reactions -- 9.2.8 Point of Action of F on Shaft -- 9.2.9 Support Reactions -- 9.2.10 Resultant Moment of the Forces About Point B -- 9.2.11 Support Reactions -- Chapter 10: Flexible Cables -- 10.1 Analysis of Cables -- 10.1.1 General Formulas for All Flexible Cables Hanging Freely -- 10.2 Application to a Parabolic Curve -- 10.2.1 Length of the Cable -- 10.2.2 Length of the Cable -- 10.2.3 Alternative Expression for Cable Length -- 10.3 The Catenary Cable -- 10.3.1 Cable Subjected to Concentrated Loads -- 10.4 General Cable Theorem -- 10.4.1 Maximum Tension in the Cable -- 10.4.2 Maximum Tension in the Cable -- Chapter 11: Properties of Surfaces -- 11.1 Centroids -- 11.2 Planes and Lines of Symmetry -- 11.3 Centroids by Integration -- 11.4 Centroids of Composite Bodies -- 11.5 Pappus-Guldinus Theorems -- 11.6 Moments of Inertia -- 11.6.1 Moment of Inertia of Plane Areas -- 11.6.2 Unit of Moment of Inertia -- 11.6.3 Moment of Inertia of Plane Areas by Integration -- 11.7 Polar Moment of Inertia of Plane Areas -- 11.8 Radius of Gyration -- 11.9 Transfer Formula for Parallel Axes -- 11.10 Moment of Inertia of Composite Areas -- 11.11 Product of Inertia -- 11.12 Transfer Formula for Product of Inertia -- 11.13 Moment of Inertia with respect to Inclined Axes -- 11.14 Maximum and Minimum Moments of Inertia: Principal Axes -- 11.15 Mohr's Circle Method for Finding Moments of Inertia with respect to Inclined Axes -- Chapter 12: Kinematics of Particles -- 12.1 Introduction -- 12.1.1 Reference Frame -- 12.1.2 Gravitational Force -- 12.1.3 Equation of Kinetics for a Body or Praticle -- 12.2 Motion of a Particle -- 12.2.1 Velocity -- 12.2.2 Acceleration -- 12.2.3 Units -- 12.3 Rectilinear Motion -- 12.3.1 Sign Convention -- 12.3.2 Uniform Acceleration -- 12.4 Motion Curves -- 12.5 Vector Calculus. 12.6 Curvilinear Motion and Its Rectangular Components -- 12.7 Motion of a Projectile (Curvilinear Motion) -- 12.8 Normal and Tangential Components of Acceleration (Curvilinear Motion) -- Chapter 13: Relative Velocity -- 13.1 Motion Relative to a Frame in Translation -- Chapter 14: Kinematics of Rigid Bodies -- 14.1 Introduction -- 14.2 Translation -- 14.3 Angular Motion of Rigid Body: Rotation About Fixed Axis -- 14.4 Plane Motion: Relative Velocity Method -- 14.4.1 Chasle's Theorem -- 14.5 Kinematic Equations: Use Thereof -- 14.6 Instant Center and Instantaneous Axis of Rotation -- Chapter 15: Kinetics of Particles -- 15.1 Introduction -- 15.2 Translation of a Particle -- 15.2.1 Rectilinear Translation -- 15.3 Equations of Motion: Normal and Tangential Coordinates -- Chapter 16: Mass Moment of Inertia -- 16.1 Moment of Inertia of a Mass -- 16.2 Radius of Gyration -- 16.3 Parallel-Axis Theorem -- Chapter 17: Kinetics of Rigid Bodies: Newton's Law -- 17.1 Motion of Lifts and Connected Bodies -- 17.2 Newton's Second Law -- 17.3 Equation of Motion -- 17.4 Free-Body Diagram -- 17.5 Rectilinear Motion -- 17.6 Motion of Lift-Analysis -- 17.7 D'Alembert's Principle -- 17.7.1 D'Alembert's Principle -- 17.7.2 Comments on D'Alembert's Principle -- 17.7.3 Illustration on the Use of D'Alembert's Principle -- 17.8 Motion of Vehicles Around a Circular Path -- Chapter 18: Alternative Approach to Dynamics -- 18.1 Energy Method -- 18.2 Power -- 18.3 Conservative Force Fields -- 18.4 Conservation of Mechanical Energy -- 18.5 Alternative Form of Work-Energy Equation -- Chapter 19: Methods of Momentum -- 19.1 Alternate Approach to Dynamics -- 19.2 Linear Momentum Considerations for an Aggregate of Particles -- 19.3 Principle of Conservation of Linear Momentum -- 19.4 Impulse-Momentum Principle -- Chapter 20: Impact and Moment of Momentum -- 20.1 Impact. 20.2 Central Impact -- 20.3 Consideration of Deformation for Direct Central Impact -- 20.4 Coefficient of Restitution (e) -- 20.5 Relation Between e and Velocities of the Bodies -- 20.6 Oblique Central Impact -- 20.6.1 Energy Loss During Impact -- 20.6.2 Principle of Impulse and Momentum -- 20.6.3 Motion Along the Common Tangent (T-Axis) -- 20.6.4 Motion Along the Line of Impact (N-Axis) -- 20.7 Impact of a Body with a Huge Rigid Body or a Plane Surface -- 20.7.1 Work-Energy Principle -- 20.8 Moment of Momentum -- 20.9 Angular Momenta of a System of Particles -- 20.10 Angular Momentum About the Center of Mass -- 20.11 Conservation of Momentum of a System of Particles -- 20.12 Angular Impulse and Momentum of a System of Particles -- Chapter 21: Kinetics of Rigid Bodies: Work-Energy Approach -- 21.1 Basic Concept -- 21.2 Work-Energy Equation for a System of Particles -- 21.3 Work-Energy Relation for Rigid Bodies -- 21.4 Kinetic Energy of a Rigid Body in Plane Motion -- Chapter 22: Simple Harmonic Motion and Mechanical Vibrations -- 22.1 Introduction -- 22.1.1 Free Vibration -- 22.1.2 Damped Free Vibration -- 22.1.3 Forced Vibration -- 22.1.4 Period of Vibration -- 22.1.5 Cycle of Vibration -- 22.1.6 Frequency of Vibration -- 22.1.7 Amplitude -- 22.1.8 Simple Harmonic Motion (SHM) -- 22.2 Development of the Equation of Simple Harmonic Motion -- 22.3 Simple Pendulum -- 22.4 Graphical Representation of Simple Harmonic Motion -- 22.5 Free Vibrations Without Damping: Spring-Mass Model -- 22.6 Free Vibration-Work-Energy Method -- 22.7 Kinetic Energy and Potential Energy of Spring-Mass System -- 22.8 Torsional Vibration (Angular Vibration) -- Chapter 23: Simple Machines and Concept of Stresses -- 23.1 Simple Machines -- 23.1.1 Load or Resistance (W) -- 23.1.2 Mechanical Advantage (MA) -- 23.1.3 Load-Effort Relationship -- 23.2 Simple Wheel and Axle. 23.3 Differential Wheel and Axle.
With a clear writing style, comprehensive coverage and a variety of solved problems, Engineering Mechanics is a complete guide to students of engineering mechanics. The book uses both the scalar and vector approaches in explaining core concepts, which are preceded by a practical example. A large number of worked-out examples as well as numerous review questions and practice problems at the end of every chapter aid in the understanding and retention.
9789332509740
Electronic books.
620.1