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CHAPTER 1

INTRODUCTION TO STATICS 3

1/1 Mechanics 3

1/2 Basic Concepts 4

1/3 Scalars and Vectors 4

1/4 Newton’s Laws 7

1/5 Units 8

1/6 Law of Gravitation 12

1/7 Accuracy, Limits, and Approximations 13

1/8 Problem Solving in Statics 14

1/9 Chapter Review 18

CHAPTER 2

FORCE SYSTEMS 23

2/1 Introduction 23

2/2 Force 23

SECTION A TWO-DIMENSIONAL FORCE SYSTEMS 26

2/3 Rectangular Components 26

2/4 Moment 38

2/5 Couple 50

2/6 Resultants

SECTION B THREE-DIMENSIONAL FORCE SYSTEMS 66

2/7 Rectangular Components 66

2/8 Moment and Couple 74

2/9 Resultants 88

2/10 Chapter Review 99

CHAPTER 3

EQUILIBRIUM 109

3/1 Introduction 109

SECTION A EQUILIBRIUM IN TWO DIMENSIONS 110

3/2 System Isolation and the Free-Body Diagram 110

3/3 Equilibrium Conditions 121

SECTION B EQUILIBRIUM IN THREE DIMENSIONS 145

3/4 Equilibrium Conditions 145

3/5 Chapter Review 163

CHAPTER 4

STRUCTURES 173

4/1 Introduction 173

4/2 Plane Trusses 175

4/3 Method of Joints 176

4/4 Method of Sections 188

4/5 Space Trusses 197

4/6 Frames and Machines 204

4/7 Chapter Review 224

CHAPTER 5

DISTRIBUTED FORCES 233

5/1 Introduction 233

SECTION A CENTERS OF MASS AND CENTROIDS 235

5/2 Center of Mass 235

5/3 Centroids of Lines, Areas, and Volumes 238

5/4 Composite Bodies and Figures; Approximations 254

5/5 Theorems of Pappus 264

SECTION B SPECIAL TOPICS 272

5/6 Beams—External Effects 272

5/7 Beams—Internal Effects 279

5/8 Flexible Cables 291

5/9 Fluid Statics 306

5/10 Chapter Review 325

CHAPTER 6

FRICTION 335

6/1 Introduction 335

SECTION A FRICTIONAL PHENOMENA 336

6/2 Types of Friction 336

6/3 Dry Friction 337

SECTION B APPLICATIONS OF FRICTION IN MACHINES 357

6/4 Wedges 357

6/5 Screws 358

6/6 Journal Bearings 368

6/7 Thrust Bearings; Disk Friction 369

6/8 Flexible Belts 377

6/9 Rolling Resistance 378

6/10 Chapter Review 387

CHAPTER 7

VIRTUAL WORK 397

7/1 Introduction 397

7/2 Work 397

7/3 Equilibrium 401

7/4 Potential Energy and Stability 417

7/5 Chapter Review 433

APPENDICES

APPENDIX A AREA MOMENTS OF INERTIA 441

A/1 Introduction 441

A/2 Definitions 442

A/3 Composite Areas 456

A/4 Products of Inertia and Rotation of Axes 464

APPENDIX B MASS MOMENTS OF INERTIA 477

APPENDIX C SELECTED TOPICS OF MATHEMATICS 479

C/1 Introduction 479

C/2 Plane Geometry 479

C/3 Solid Geometry 480

C/4 Algebra 480

C/5 Analytic Geometry 481

C/6 Trigonometry 481

C/7 Vector Operations 482

C/8 Series 485

C/9 Derivatives 485

C/10 Integrals 486

C/11 Newton’s Method for Solving Intractable Equations 489

C/12 Selected Techniques for Numerical Integration 491

APPENDIX D USEFUL TABLES 495

Table D/1 Physical Properties 495

Table D/2 Solar System Constants 496

Table D/3 Properties of Plane Figures 497

Table D/4 Properties of Homogeneous Solids 499

INDEX 503

PROBLEM ANSWERS 507

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