Vector mechanics for engineers : statics / 3rd SI Metric ed.

Preface
List of Symbols

INTRODUCTION

1.1 What Is Mechanics?
1.2 Fundamental Concepts and Principles
1.3 Systems of Units
1.4 Method of Problem Solution
1.5 Numerical Accuracy

2 STATICS OF PARTICLES

2.1 Introduction
Forces in a Plane
2.2 Force on a Particle,Resultant of Two Forces
2.3 Vectors
2.4 Addition of Vectors
2.5 Resultant of Several Concurrent Forces
2.6 Resolution of a Force into Components
2.7 Rectangular Components of a Force,Unit Vectors
2.8 Addition of Forces by Summing x and y Components
2.9 Equilibrium of a Particle
2.10 Newton's First Law of Motion
2.11 Problems Involving the Equilibrium of a Particle,Free-Body Diagrams
Forces in Space
2.12 Rectangular Components of a Force in Space
2.13 Force Defined by Its Magnitude and Two Points on Its Line of Action
2.14 Addition of Concurrent Forces in Space
2.15 Equilibrium of a Particle in Space
Review and Summary for Chapter 2
Review Problems

3 RIGID BODIES:DQUIVALENT SYSTEMS OF FORCES

3.1 Introduction
3.2 External and Internal Forces
3.3 Principle of Transmissibiity Equivalent forces
3.4 Vector Product of Two Vectors
3.5 Vector Products Expressed in Terms of Rectangular Components
3.6 Moment of a Force about a Point
3.7 Varignon's Theorem
3.8 Rectangular Components of the Moment of a Force
3.9 Scalar Product of Two Vectors
3.10 Mixed Triple Product of Three Vectors
3.11 Moment of a Force about a Given Axis
3.12 Moment of a Couple
3.13 Equivalent Couples
3.14 Addition of Couples
3.15 Couples Can Be Represented by Vectors
3.16 Resolution of a Given Force Into a force at O and a Couple
3.17 Reduction of a System of Forces to One Force and One Couple
3.18 Equivalent Systems of Forces
3.19 Equipollent Systems of Vectors
3.20 Further Reduction of a System of Forces
3.21 Reduction of a System of Forces to a Wrench
Review and Summary for Chapter 3
Review Problems

4 EQUILIBRIUM OF RIGID BODIES

4.1 Introduction
4.2 Free-Body Diagram
Equilibrium in Two Dimensions
4.3 Reactions at Supports and Connections for a Two-Dimensional Structure
4.4 Equilibrium of a Rigid Body in Two Dimensions
4.5 Statically Indeterminate Reactions.Partial Constraints
4.6 Equilibrium of a Two-Force Body
4.7 Equilibrium of a Three-force Body
Equilibrium in Three Dimensions
4.8 Equilibrium of a Rigid Body in Three Dimensions
4.9 Reactions at Supports and Connections for a Three-Dimensional Structure
Review and Summary for Chapter 4
Review Problems

5 DISTRIBUTED FORCES:CENTROIDS AND CENTERS OF GRAVITY

5.1 Introduction
Areas and Lines
5.2 Center of Gravity of a Two-Dimensional Body
5.3 Centroids of Areas and Lines
5.4 First Moments of Areas and Lines
5.5 Composite Plates and Wires
5.6 Determination of Centroids by Integration
5.7 Theorems of Pappus-Guldinus
*5.8 Distributed Loads on Beams
*5.9 Forces on Submerged Surfaces
5.10 Center of Gravity of a Three-Dimensional Body.Centroid of a Volume
5.11 Composite Bodies
5.12 Determination of Centroids of Volumes by Integration
Review and Summary for Chapter 5
Review Problems

6 ANALYSIS OF STRUCTURES

6.1 Introduction
Trusses
6.2 Definition of a Truss
6.3 Simple Trusses
6.4 Analysis of Trusses by the Method of Joints
*6.5 Joints under Special Loading Conditions
*6.6 Space Trusses
6.7 Analysis of Trusses by the Method of Sections
*6.8 Trusses Made of Several Simple Trusses
Frames and Machines
6.9 Structures Containing Multiforce Members
6.10 Analysis of a Frame
6.11 Frames Which Cease to Be Rigid When Detached form Their Supports
6.12 Machines
Review and Summary for Chapter 6
Review Problems

7 FORCES IN BEAMS AND CABLES

*7.1 Introduction
*7.2 Internal Forces in Members
Beams
*7.3 Various Types of Loading and Support
*7.4 Shear and Bending Moment in a Beam
*7.5 Shear and Bending-Moment Diagrams
*7.6 Relations among Load,Shear,and Bending Moment
Cables
*7.7 Cables with Concentrated Loads
*7.8 Cables with Distributed Loads
*7.9 Parabolic Cable
*7.10 Catenary
Review and Summary for Chapter 7
Review Problems

8 FRICTION

8.1 Introduction
8.2 The Laws of Dry Fiction.Coefficients of Friction
8.3 Angles of Friction
8.4 Problems Involving Dry Friction
8.5 Wedges
8.6 Square-Threaded Screws
*8.7 Journal Bearings.Axle Friction
*8.8 Thrust Bearings.Disk Friction
*8.9 Wheel Friction.Rolling Resistance
*8.10 Belt Friction
Review and Summary for Chapter 8
Review Problems

9 DISTRIBUTED FORCES:MOMENTS OF INERTIA

9.1 Introduction
Moments of Inertia of Areas
9.2 Second Moment,or Moment of Inertia,of an Area
9.3 Determination of the Moment of Inertia of an Area by Integration
9.4 Polar Moment of Inertia
9.5 Radius of Gyration of an Area
9.6 Parallel-Axis Theorem
9.7 Moments of Inertia of Composite Areas
*9.8 Product of Inertia
*9.9 Principal Axes and Principal Moments of Inertia
*9.10 Mohr's Circle for Moments and Products of Inertia
Moments of Inertia of Masses
9.11 Moment of Inertia of a Mass
9.12 Parallel-Axis Theorem
9.13 Moments of Inertial of Thin Plates
9.14 Determination of the Moment of Inertia of a Three-Dimensional Body by Integration
9.15 Moments of Inertia of Composite Bodies
*9.16 Moment of Inertia of a Body with Respect to an Arbitrary Axis through O.Mass Products of Inertia
*9.17 Ellipsoid of Inertia.Principal Axes of Inertia
*9.18 Determination of the Principal Axes and Principal Moments of Inertia of a Body of Arbitrary Shape
Review and Summary for Chapter 9
Review Problems

10 METHOD OF VIRTUAL WORK

*10.1 Introduction
*10.2 Work of a Force
*10.3 Principle of Virtual Work
*10.4 Applications of the Principle of Virtual Work
*10.5 Real Machines.Mechanical Efficiency
*10.6 Work of a Force during a Finite Displacement
*10.7 Potential Energy
*10.8 Potential Energy and Equilibrium
*10.9 Stability of Equilibrium
Review and Summary for Chapter 10
Review Problems

Appendix U.S.CUSTOMARY UNITS AND CONVERSIONS TO SI

A.1 U.S.Customary Units
A.2 Conversion from One System of Units to Another

Index
Answers to Problems