| |
| |
Preface | |
| |
| |
List of Symbols | |
| |
| |
| |
Introduction | |
| |
| |
| |
What Is Mechanics? | |
| |
| |
| |
Fundamental Concepts and Principles | |
| |
| |
| |
Systems of Units | |
| |
| |
| |
Conversion from One System of Units to Another | |
| |
| |
| |
Method of Problem Solution | |
| |
| |
| |
Numerical Accuracy | |
| |
| |
| |
Statics of Particles | |
| |
| |
| |
Introduction | |
| |
| |
Forces in a Plane | |
| |
| |
| |
Force on a Particle: Resultant of Two Forces | |
| |
| |
| |
Vectors | |
| |
| |
| |
Addition of Vectors | |
| |
| |
| |
Resultant of Several Concurrent Forces | |
| |
| |
| |
Resolution of a Force into Components | |
| |
| |
| |
Rectangular Components of a Force. Unit Vectors | |
| |
| |
| |
Addition of Forces by Summing x and y Components | |
| |
| |
| |
Equilibrium of a Particle | |
| |
| |
| |
Newton's First Law of Motion | |
| |
| |
| |
Problems Involving the Equilibrium of a Particle. Free-Body Diagrams | |
| |
| |
Forces in Space | |
| |
| |
| |
Rectangular Components of a Force in Space | |
| |
| |
| |
Force Defined by Its Magnitude and Two Points on Its Line of Action | |
| |
| |
| |
Addition of Concurrent Forces in Space | |
| |
| |
| |
Equilibrium of a Particle in Space | |
| |
| |
Review and Summary for Chapter 2 | |
| |
| |
Review Problems | |
| |
| |
Computer Problems | |
| |
| |
| |
Rigid Bodies: Equivalent Systems of Forces | |
| |
| |
| |
Introduction | |
| |
| |
| |
External and Internal Forces | |
| |
| |
| |
Principle of Transmissibility. Equivalent Forces | |
| |
| |
| |
Vector Product of Two Vectors | |
| |
| |
| |
Vector Products Expressed in Terms of Rectangular Components | |
| |
| |
| |
Moment of a Force about a Point | |
| |
| |
| |
Varignon's Theorem | |
| |
| |
| |
Rectangular Components of the Moment of a Force | |
| |
| |
| |
Scalar Product of Two Vectors | |
| |
| |
| |
Mixed Triple Product of Three Vectors | |
| |
| |
| |
Moment of a Force about a Given Axis | |
| |
| |
| |
Moment of a Couple | |
| |
| |
| |
Equivalent Couples | |
| |
| |
| |
Addition of Couples | |
| |
| |
| |
Couples Can Be Represented by Vectors | |
| |
| |
| |
Resolution of a Given Force Into a Force at O and a Couple | |
| |
| |
| |
Reduction of a System of Forces to One Force and One Couple | |
| |
| |
| |
Equivalent Systems of Forces | |
| |
| |
| |
Equipollent Systems of Vectors | |
| |
| |
| |
Further Reduction of a System of Forces | |
| |
| |
| |
Reduction of a System of Forces to a Wrench | |
| |
| |
Review and Summary for Chapter 3 | |
| |
| |
Review Problems | |
| |
| |
Computer Problems | |
| |
| |
| |
Equilibrium of Rigid Bodies | |
| |
| |
| |
Introduction | |
| |
| |
| |
Free-Body Diagram | |
| |
| |
Equilibrium in Two Dimensions | |
| |
| |
| |
Reactions at Supports and Connections for a Two-Dimensional Structure | |
| |
| |
| |
Equilibrium of a Rigid Body in Two Dimensions | |
| |
| |
| |
Statically Indeterminate Reactions: Partial Constraints | |
| |
| |
| |
Equilibrium of a Two-Force Body | |
| |
| |
| |
Equilibrium of a Three-Force Body | |
| |
| |
Equilibrium in Three Dimensions | |
| |
| |
| |
Equilibrium of a Rigid Body in Three Dimensions | |
| |
| |
| |
Reactions at Supports and Connections for a Three-Dimensional Structure | |
| |
| |
Review and Summary for Chapter 4 | |
| |
| |
Review Problems | |
| |
| |
Computer Problems | |
| |
| |
| |
Distributed Forces: Centroids and Centers of Gravity | |
| |
| |
| |
Introduction | |
| |
| |
Areas and Lines | |
| |
| |
| |
Center of Gravity of a Two-Dimensional Body | |
| |
| |
| |
Centroids of Areas and Lines | |
| |
| |
| |
First Moments of Areas and Lines | |
| |
| |
| |
Composite Plates and Wires | |
| |
| |
| |
Determination of Centroids by Integration | |
| |
| |
| |
Theorems of Pappus-Guldinus | |
| |
| |
| |
Distributed Loads on Beams | |
| |
| |
| |
Forces on Submerged Surfaces | |
| |
| |
Volumes | |
| |
| |
| |
Center of Gravity of a Three-Dimensional Body: Centroid of a Volume | |
| |
| |
| |
Composite Bodies | |
| |
| |
| |
Determination of Centroids of Volumes by Integration | |
| |
| |
Review and Summary for Chapter 5 | |
| |
| |
Review of Problems | |
| |
| |
Computer Problems | |
| |
| |
| |
Analysis of Structures | |
| |
| |
| |
Introduction | |
| |
| |
Trusses | |
| |
| |
| |
Definition of a Truss | |
| |
| |
| |
Simple Trusses | |
| |
| |
| |
Analysis of Trusses by the Method of Joints | |
| |
| |
| |
Joints under Special Loading Conditions | |
| |
| |
| |
Space Trusses | |
| |
| |
| |
Analysis of Trusses by the Method of Sections | |
| |
| |
| |
Trusses Made of Several Simple Trusses | |
| |
| |
Frames and Machines | |
| |
| |
| |
Structures Containing Multiforce Members | |
| |
| |
| |
Analysis of a Frame | |
| |
| |
| |
Frames Which Cease to Be Rigid When Detached from Their Supports | |
| |
| |
| |
Machines | |
| |
| |
Review and Summary for Chapter 6 | |
| |
| |
Review Problems | |
| |
| |
Computer Problems | |
| |
| |
| |
Forces in Beams and Cables | |
| |
| |
| |
Introduction | |
| |
| |
| |
Internal Forces in Members | |
| |
| |
Beams | |
| |
| |
| |
Various Types of Loading and Support | |
| |
| |
| |
Shear and Bending Moment in a Beam | |
| |
| |
| |
Shear and Bending-Moment Diagrams | |
| |
| |
| |
Relations among Load, Shear, and Bending Moment | |
| |
| |
Cables | |
| |
| |
| |
Cables with Concentrated Loads | |
| |
| |
| |
Cables with Distributed Loads | |
| |
| |
| |
Parabolic Cable | |
| |
| |
| |
Catenary | |
| |
| |
Review and Summary for Chapter 7 | |
| |
| |
Review Problems | |
| |
| |
Computer Problems | |
| |
| |
| |
Friction | |
| |
| |
| |
Introduction | |
| |
| |
| |
The Laws of Dry Friction. Coefficients of Friction | |
| |
| |
| |
Angles of Friction | |
| |
| |
| |
Problems Involving Dry Friction | |
| |
| |
| |
Wedges | |
| |
| |
| |
Square-Threaded Screws | |
| |
| |
| |
Journal Bearings: Axle Friction | |
| |
| |
| |
Thrust Bearings: Disk Friction | |
| |
| |
| |
Wheel Friction: Rolling Resistance | |
| |
| |
| |
Belt Friction | |
| |
| |
Review and Summary for Chapter 8 | |
| |
| |
Review Problems | |
| |
| |
Computer Problems | |
| |
| |
| |
Distributed Forces: Moments of Inertia | |
| |
| |
| |
Introduction | |
| |
| |
Moments of Inertia of Areas | |
| |
| |
| |
Second Moment, or Moment of Inertia, of an Area | |
| |
| |
| |
Determination of the Moment of Inertia of an Area by Integration | |
| |
| |
| |
Polar Moment of Inertia | |
| |
| |
| |
Radius of Gyration of an Area | |
| |
| |
| |
Parallel-Axis Theorem | |
| |
| |
| |
Moments of Inertia of Composite Areas | |
| |
| |
| |
Product of Inertia | |
| |
| |
| |
Principal Axes and Principal Moments of Inertia | |
| |
| |
| |
Mohr's Circle for Moments and Products of Inertia | |
| |
| |
Moments of Inertia of Masses | |
| |
| |
| |
Moment of Inertia of a Mass | |
| |
| |
| |
Parallel-Axis Theorem | |
| |
| |
| |
Moments of Inertia of Thin Plates | |
| |
| |
| |
Determination of the Moment of Inertia of a Three-Dimensional Body by Integration | |
| |
| |
| |
Moments of Inertia of Composite Bodies | |
| |
| |
| |
Moment of Inertia of a Body with Respect to an Arbitrary Axis through O: Mass Products of Inertia | |
| |
| |
| |
Ellipsoid of Inertia: Principal Axes of Inertia | |
| |
| |
| |
Determination of the Principal Axes and Principal Moments of Inertia of a Body of Arbitrary Shape | |
| |
| |
Review and Summary for Chapter 9 | |
| |
| |
Review Problems | |
| |
| |
Computer Problems | |
| |
| |
| |
Method of Virtual Work | |
| |
| |
| |
Introduction | |
| |
| |
| |
Work of a Force | |
| |
| |
| |
Principle of Virtual Work | |
| |
| |
| |
Applications of the Principle of Virtual Work | |
| |
| |
| |
Real Machines: Mechanical Efficiency | |
| |
| |
| |
Work of a Force during a Finite Displacement | |
| |
| |
| |
Potential Energy | |
| |
| |
| |
Potential Energy and Equilibrium | |
| |
| |
| |
Stability of Equilibrium | |
| |
| |
Review and Summary for Chapter 10 | |
| |
| |
Review Problems | |
| |
| |
Computer Problems | |
| |
| |
| |
Fundamentals of Engineering Examination | |
| |
| |
Photo Credits | |
| |
| |
Index | |
| |
| |
Answers to Problems | |