1 Introduction to Statics 1

1/1 Mechanics 1

1/2 Basic Concepts 2

1/3 Scalars and Vectors 2

1/4 Newton’s Laws 5

1/5 Units 6

1/6 Law of Gravitation 9

1/7 Accuracy, Limits, and Approximations 10

1/8 Problem Solving in Statics 11

1/9 Chapter Review 14

2 Force Systems 17

2/1 Introduction 17

2/2 Force 17

Section A Two-Dimensional Force Systems 20

2/3 Rectangular Components 20

2/4 Moment 26

2/5 Couple 31

2/6 Resultants 34

Section B Three-Dimensional Force Systems 37

2/7 Rectangular Components 37

2/8 Moment and Couple 41

2/9 Resultants 48

2/10 Chapter Review 54

3 Equilibrium 55

3/1 Introduction 55

Section A Equilibrium in Two Dimensions 56

3/2 System Isolation and the Free-Body Diagram 56

3/3 Equilibrium Conditions 66

Section B Equilibrium in Three Dimensions 74

3/4 Equilibrium Conditions 74

3/5 Chapter Review 82

4 Structures 83

4/1 Introduction 83

4/2 Plane Trusses 84

4/3 Method of Joints 86

4/4 Method of Sections 92

4/5 Space Trusses 96

4/6 Frames and Machines 99

4/7 Chapter Review 105

5 Distributed Forces 106

5/1 Introduction 106

Section A Centers of Mass and Centroids 108

5/2 Center of Mass 108

5/3 Centroids of Lines, Areas, and Volumes 110

5/4 Composite Bodies and Figures; Approximations 118

5/5 Theorems of Pappus 122

Section B Special Topics 125

5/6 Beams?External Effects 125

5/7 Beams?Internal Effects 128

5/8 Flexible Cables 135

5/9 Fluid Statics 143

5/10 Chapter Review 153

6 Friction 154

6/1 Introduction 154

Section A Frictional Phenomena 155

6/2 Types of Friction 155

6/3 Dry Friction 155

Section B Applications of Friction in Machines 164

6/4 Wedges 164

6/5 Screws 165

6/6 Journal Bearings 169

6/7 Thrust Bearings; Disk Friction 169

6/8 Flexible Belts 172

6/9 Rolling Resistance 173

6/10 Chapter Review 176

7 Virtual Work 177

7/1 Introduction 177

7/2 Work 177

7/3 Equilibrium 180

7/4 Potential Energy and Stability 188

7/5 Chapter Review 197

Appendix A Area Moments of Inertia 198

A/1 Introduction 198

A/2 Definitions 199

A/3 Composite Areas 206

A/4 ProducLts of Inertia and Rotation of Axes 209

Appendix B Mass Moments of Inertia 214

Appendix C Selected Topics of Mathematics 215

C/1 Introduction 215

C/2 Plane Geometry 215

C/3 Solid Geometry 216

C/4 Algebra 216

C/5 Analytic Geometry 217

C/6 Trigonometry 217

C/7 Vector Operations 218

C/8 Series 221

C/9 Derivatives 221

C/10 Integrals 222

C/11 Newton’s Method for Solving Intractable Equations 225

C/12 Selected Techniques for Numerical Integration 227

Appendix D Useful Tables 230

Table D/1 Physical Properties 230

Table D/2 Solar System Constants 231

Table D/3 Properties of Plane Figures 232

Table D/4 Properties of Homogeneous Solids 234

Table D/5 Conversion Factors; SI Units 238

Problems P-1

Index I-1

Problem Answers PA-1