CHAPTER 1
INTRODUCTION TO STATICS 3
1/1 Mechanics 3
1/2 Basic Concepts 4
1/3 Scalars and Vectors 5
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 39
2/5 Couple 50
2/6 Resultants 58
SECTION B THREE-DIMENSIONAL FORCE SYSTEMS 66
2/7 Rectangular Components 66
2/8 Moment and Couple 75
2/9 Resultants 89
2/10 Chapter Review 100
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 143
3/4 Equilibrium Conditions 143
3/5 Chapter Review 160
CHAPTER 4
STRUCTURES 169
4/1 Introduction 169
4/2 Plane Trusses 171
4/3 Method of Joints 172
4/4 Method of Sections 184
4/5 Space Trusses 193
4/6 Frames and Machines 200
4/7 Chapter Review 220
CHAPTER 5
DISTRIBUTED FORCES 229
5/1 Introduction 229
SECTION A CENTERS OF MASS AND CENTROIDS 231
5/2 Center of Mass 231
5/3 Centroids of Lines, Areas, and Volumes 234
5/4 Composite Bodies and Figures; Approximations 250
5/5 Theorems of Pappus 261
SECTION B SPECIAL TOPICS 269
5/6 Beams—External Effects 269
5/7 Beams—Internal Effects 276
5/8 Flexible Cables 288
5/9 Fluid Statics 303
5/10 Chapter Review 321
CHAPTER 6
FRICTION 331
6/1 Introduction 331
SECTION A FRICTIONAL PHENOMENA 332
6/2 Types of Friction 332
6/3 Dry Friction 333
SECTION B APPLICATIONS OF FRICTION IN MACHINES 353
6/4 Wedges 353
6/5 Screws 354
6/6 Journal Bearings 364
6/7 Thrust Bearings; Disk Friction 365
6/8 Flexible Belts 372
6/9 Rolling Resistance 373
6/10 Chapter Review 381
CHAPTER 7
VIRTUAL WORK 391
7/1 Introduction 391
7/2 Work 391
7/3 Equilibrium 395
7/4 Potential Energy and Stability 411
7/5 Chapter Review 427
APPENDICES
APPENDIX A
AREA MOMENTS OF INERTIA 434
A/1 Introduction 434
A/2 Defi nitions 435
A/3 Composite Areas 449
A/4 Products of Inertia and Rotation of Axes 457
APPENDIX B
MASS MOMENTS OF INERTIA 469
APPENDIX C
SELECTED TOPICS OF MATHEMATICS 470
C/1 Introduction 470
C/2 Plane Geometry 470
C/3 Solid Geometry 471
C/4 Algebra 471
C/5 Analytic Geometry 472
C/6 Trigonometry 472
C/7 Vector Operations 473
C/8 Series 476
C/9 Derivatives 476
C/10 Integrals 477
C/11 Newton’s Method for Solving Intractable Equations 479
C/12 Selected Techniques for Numerical Integration 481
APPENDIX D
USEFUL TABLES 485
Table D/1 Physical Properties 485
Table D/2 Solar System Constants 486
Table D/3 Properties of Plane Figures 487
Table D/4 Properties of Homogeneous Solids 489
INDEX 493
PROBLEM ANSWERS 497