CHAPTER 1 INTRODUCTION

1.1 Mechanics

1.2 Basic Concepts

Problems 1.1-1.4

1.3 Units

1.3.1 SI Units

1.3.2 Customary Units

1.3.3 Conversion between Systems of Units 

Problems 1.5-1.9

1.4 Numerical Calculations

1.5 Problem-solving Strategy

1.6 Computational Software 

CHAPTER 2 VECTOR ANALYSIS

2.1 Introduction

2.2 Vectors

2.2.1 Definition of a Scalar and a Vector

2.2.2 Vector Addition

2.2.3 Multiplication of a Vector by a Scalar

2.2.4 Vector Components

2.2.5 Resolution of a Vector into Components

2.3 Forces and Their Characteristics

2.3.1 Concurrent Coplanar Forces 

Problems 2.1-2.21

2.4 Three-dimensional Cartesian Coordinates and Unit Base Vectors

2.4.1 Unit Base Vectors

2.4.2 Vector Equality in Component Notation

2.4.3 Vector Addition by Components

2.4.4 Multiplication of a Vector by a Scalar

2.4.5 Vector Directions in Space

2.4.6 General Unit Vectors

2.4.7 Vector Directions in Space

2.4.8 Matrix Notation for Vectors

2.5 Computation of Vector Operations 

Problems 2.22-2.59

2.6 Components of a Vector in Nonorthogonal Directions

2.7 Systems of Linear Equations

2.7.1 Matrices 

Problems 2.60-2.78

2.8 Scalar Product of Two Vectors

2.8.1 Applications of the Scalar Product 

Problems2.7-2.95

2.9 Vector Product of Cross Product

2.9.1 Multiple Products of Vectors 

Problems2.96-2.111

2.10 Direct Vector Solutions 

Problems2.112-2.122 

CHAPTER 3 PARTICLE EQUILIBRIUM

3.1 Free-body Diagrams of a Particle 

Problems 3.1-3.10

3.2 Equilibrium of a Particle 

Problems 3.11-3.37

3.3 Springs

3.4 Statically Indeterminate Problems 

Problems 3.38-3.46

3.5 Special Sections

3.5A Introduction to Friction 

Problems 3.47-3.63

3.5B Keystone of the Arch 

Problems 3.64-3.65 

CHAPTER 3 RIGID BODIES: EQUIVALENT FORCE SYSTEMS

4.1 Rigid Bodies

4.2 Modeling of Rigid Bodies and Moment of a Force 

Problems4.1-4.10

4.3 Moment of a Force about a Point in Space

4.3.1 Direct Vector Solutions

4.4 Varignon's Theorem 

Problems 4.11-4.40

4.5 Moment of a Force about an Axis 

Problems 4.41-4.51

4.6 Moment of a Couple 

Problems 4.52-4.61

4.7 Equivalent Force Systems 

Problems 4.62-4.65

4.8 Special Equivalent Force Systems

4.8.1 Concurrent Force Systems

4.8.2 Coplanar Force Systems

4.8.3 Parallel Force Systems

4.9 General Equivalent Force Systems

4.9.1 The Wrench 

Problems4.66-4.84 

CHAPTER 5 DISTRIBUTED FORCES: CENTROIDS AND CENTER OF GRAVITY

5.1 Introduction

5.2 Center of Mass and Center of Gravity

5.2.1 Center of Mass

5.2.2 Center of Gravity

5.3 Average Position: Centroids of Areas, Volumes, and Lines; The First Moment

5.3.1 Centroid of an Area

5.3.2 Centroid of a Volume

5.3.3 Centroid of a Line

5.4.4 Centroid of a Curve in Space 

Problems 5.1-5.25

5.4 Theorems of Pappus and Guldinus 

Problems 5.26-2.32

5.5 Centroids of Composite Bodies 

Problems5.33-5.51

5.6 Distributed Loads on Beams 

Problems5.52-5.62

5.7 Forces Due to Fluid Pressure Acting on a Submerged Surface

5.7.1 Buoyancy 

Problems 5.63-5.70 

CHAPTER 6 EQUILIBRIUM OF RIGID BODIES

6.1 Introduction

6.2 Supports for a Two-dimensional Model

6.3 Supports for a Three-dimensional Model

6.4 Free-body Diagram 

Problems 6.1-6.10

6.5 Equilibrium of a Rigid Body in Two Dimensions

6.5.1 Solution Strategy

6.5.2 A Two-Force Member

6.5.3 A Three-Force Member 

Problems 6.11-6.33

6.6 Equilibrium of a Rigid Body in Three Dimensions

6.6.1 Constraints

6.7 Statically Indeterminate Reactions and Improper Constraints 

Problems 6.34-6.57 

CHAPTER 7 ANALYSIS OF STURUCTURES

7.1 Introduction

7.2 Planar Trusses

7.3 Simple Trusses

7.4 Method of Joints

7.5 Method of Joints Using Matrix Techniques 

Problems7.1-7.30

7.6 Method of Sections 

Problems 7.31-7.55

7.7 Space Trusses 

Problems 7.56-7.66

7.8 Compound Trusses

7.9 Frames and Machines 

Problems 7.67-7.97 

CHAPTER 8 INTERNAL FORCES IN STRUCTURAL MEMBERS

8.1 Introduction

8.2 Internal Forces in a Member 

Problems 8.1-8.17

8.3 Types of Loading and Supports in Beams

8.4 Shear and Bending Moments in Beams

8.4.1 Relationship between the Load Distribution, the Shear Force, and the Bending Moment 

Problems 8.18-8.41

8.5 Discontinuity Functions for Beam Equations 

Problems 8.42-8.53

8.6 Cables

8.6.1 Cable Subjected to Concentrated Loads

8.6.2 Cables Supporting Loads Distributed Uniformly along a Horizontal Line

8.6.3 Cable Supporting Loads Distributed Uniformly along Its Own Length 

Problems 8.54-8.70 

CHAPTER 9 FRICTION

9.1 Introduction

9.2 Coulomb Friction 

Problems 9.1-9.62

9.3 Wedges 

Problems 9.63-9.81

9.4 Square-Threaded Screws 

Problems 9.82-9.96

9.5 Belt Friction

9.5.1 V-belts

9.6 Bearings

9.7 Thrust Bearings, Collars, and Clutches

9.8 Rolling Resistance 

Problems 9.97-9.117 

CHAPTER 10 MOMENTS OF INERTIA

10.1 Introduction

10.2 Second Moment of an Area

10.2.1 Determination of the Second Moment of an Area by Integration

10.3 Polar Moment of Inertia

10.4 Second Moment of an Area about Centroidal Axes for Specific Areas 

Problems 10.1-10.21

10.5 Parallel-Axis Theorem for the Second Moment of Area

10.6 Radius of Gyration of an Area 

Problems 10.22-10.32

10.7 Second Moments of Composite Areas 

Problems 10.33-10.45

10.8 Pricipal Second Moments of Area

10.8.1 Product Moment of an Area, or Product Moment of Inertia

10.8.2 Rotation of Axes 

Problems 10.46-10.59

10.9 Mohr's Circle to Determine Principal Second Moments of Area 

Problems 10.60-10.73

10.10 Eigenvalue Problem 

Problem 10.74-10.87

10.11 Mass Moments of Inertia

10.11.1 Parallel-Axis Theorem 

Problems 10.88-10.102 

CHAPTER 11 VIRTUAL WORK

11.1 Introduction

11.1.1 Work- By a Force or Moment

11.2 Virtual Work

11.3 Principle of Virtual work for a System of Connected Rigid Bodies 

Problems 11.1-11.28

11.4 Finite Work of a Force and Moment 

Problems 11.29-11.34

11.5 Conservative Forces and Potential Energy

11.6 Potential Energy and Equilibrium

11.7 Stability of Equilibrium 

Problems 11.35-11.60 

APPENDIX

Solution of Systems of Linear Equations

Gauss-Jordan Reduction

Inverse of a Matrix

Solution of Vector Equations 

STATICS INDEX DICTIONARY

ANSWERS

INDEX