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