STATICS Chapter 1 Introductory Concepts

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1 Contents Preface to Adapted Edition... (v) Preface to Third Edition... (vii) List of Symbols and Abbreviations... (xi) PART - I STATICS Chapter 1 Introductory Concepts 1-1 Scope of Mechanics Preview if Statics Fundamental Concepts and Axioms Scalar and Vector Quantities Introduction to Free-body Diagrams Guide to Solving Problems Dimensional Checks Conversion of Units Numerical Computations Slide Rules and Calculators Useful Techniques and Information Chapter 2 Resultants of Force System 2-1 Introduction Parallelogram Law Forces and Components Resultant of Coplanar Concurrent Forces Components of Forces in Space Vector Notation Vector Algebra, Dot Product Vector Algebra, Cross Product Moment of Force Principle of Moments (xv)

2 Contents... (xvi) 2-10 Coplanar Applications Spatial Applications Couples Resultant of any Force System Chapter 3 Equilibrium of Force Systems 3-1 Introduction Free-body Diagrams Equations of Equilibrium Equilibrium of Planar Systems Further Discussion of Planar Equilibrium Equilibrium of Spatial Systems Chapter 4 Analysis of Structures 4-1 Introduction Construction of Trusses Method of Joints Methods of Sections Redundant Members; Counter Diagonals Method of Members Frames Space Trusses Chapter 5 Friction 5-1 Introduction Theory of Friction Angle of Friction Laws of Friction Further Applications of Friction Square-threaded Screws Belt Friction Disk Friction Rolling Resistance

3 Contents...(xvii) Chapter 6 Centroids and Centers of Gravity 6-1 Introduction Centre of Gravity of Flat Plate Centroids of Areas and Lines Importance of Centroids and Moments of Area Centroids Determined by Integration Centroids of Composite Figures Theorem of Pappus Center of Gravity of Bodies Centroids of Volumes Summary Chapter 7 Moments of Inertia 7-1 Definition of Moment of Inertia Polar Moment of Inertia Radius of Gyration Transfer Formula for Moment of Inertia Moments of Inertia by Integration Moments of Inertia for Composite Areas Product of Inertia Product of Inertia is Zero with Respect to Axes of Symmetry Transfer Formula for Product of Inertia Moment of Inertia with Respect to Inclined Axes Mohr s Circle for Moments of Inertia Maximum and Minimum Moments of Inertia Principal Axes Moments of Inertia of Masses Radius of Gyration Transfer Formula for Mass Moments of Inertia Mass Moments of Inertia by Integration Moments of Inertia of Composite Bodies Summary

4 Contents... (xviii) Chapter 8 Special Topics 8-1 Introduction Shear and Moment Equations and Diagrams Relations between Load, Shear and Bending Moment Definition and Meaning of Work Introductory Concepts of Virtual Work Method Principle and Application of Virtual Work Introduction Application of Parallelogram Law Resultant of Coplanar Force Systems String Polygon Equilibrium of Force Systems by Graphic Methods Graphic Analysis of Trusses Maxwell Diagrams Chapter 9 Kinematics of a Particle PART - II DYNAMICS 9-1 Introduction Motion of a Particle Rectilinear Motion Motion Curves Introduction to Vector Calculus Rectangular Components of Curvilinear Motion Normal and Tangential Components of Acceleration Radial and Transverse Components Cylindrical Coordinates Summary

5 Contents... (xix) Chapter 10 General Principles of Dynamics 10-1 Introduction Newton s Laws of Motion for a Particle Fundamental Equation of Kinetics for a Particle Gravitational and Absolute System of Units D Alembert s Principle Motion of the Mass Center Moment Effect of External Forces Summary Chapter 11 Kinetics of Particles 11-1 Introduction Translation Analysis as a Particle Further Discussion of Particle Kinetics Translation Analysis as a Rigid Body Summary Chapter 12 Kinematics of Rigid Bodies 12-1 Introduction. Types of Rigid-Body Motion Angular Motion Fixed-Axis Rotation Definition and Analysis of Plane Motion Application of Kinematic Equations Instant Center and Instantaneous Axis of Rotation The Omega Theorem Chapter 13 Kinetics of Rigid Bodies 13-1 Introduction Equations of Plane Motion Fixed-Axis Rotation Rolling Bodies General Plane Motion Summary

6 Contents... (xx) Chapter 14 Work-Energy Method 14-1 Introduction Work-Energy Equation for Translation Interpretation and Computation of Work Work-Energy Applied To Particle Motion Power Efficiency Work-Energy Applied to Connected Systems Work-Energy Method Applied to Fixed-Axis Rotation Work-Energy Applied to Plane Motion Summary Chapter 15 Impulse and Momentum 15-1 Introduction Linear Impulse-Momentum Dynamic Action of Jet Streams Conservation of Linear Momentum Elastic Impact Impulse Momentum in Plane Motion Satellite Motion Introduction to Gyroscopic Action Summary Chapter 16 Mechanical Vibrations 16-1 Introduction, Definitions and Concepts Simple Harmonic Motion. Free Vibrations Simple Pendulum Compound Pendulum Torsion Pendulum

7 Contents...(xxi) 16-6 Graphical Representation of Simple Harmonic Motion Free Vibrations Without Damping : General Case Free Vibrations Analyzed by Work-Energy Method Forced Vibrations Summary Index

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