1 General Principles 3 Chapter Objectives 3 1.1 Mechanics 3 1.2 Fundamental Concepts 4 1.3 Units of Measurement 6 1.4 The International System of Units 1.5 Numerical Calculations 10
2 Force Vectors 17 Chapter Objectives 17 2.1 Scalars and Vectors 17 2.2 Vector Operations 18 2.3 Vector Addition of Forces 20 2.4 Addition of a System of Coplanar Forces 31 2.5 Cartesian Vectors 42 2.6 Addition and Subtraction of Cartesian Vectors 46 2.7 Position Vectors 55 2.8 Force Vector Directed Along a Line 58 2.9 Dot Product 68
3 [ Equilibrium of a ParticleChapter Objectives 81 3.1 Condition for the Equilibrium of a Particle 81 3.2 The Free-Body Diagram 82 3.3 Coplanar Force Systems 85 3.4 Three-Dimensional Force Systems 98
4 Force System Resultants 113 Chapter Objectives 113 4.1 Moment of a Force——Scalar Formulation 4.2 Cross Product 118 4.3 Moment of a Force——Vector Formulation 121 4.4 Principle of Moments 126 4.5 Moment of a Force About a Specified Axis 138 4.6 Moment of a Couple 148 4.7 Equivalent System 160 4.8 Resultants of a Force and Couple System 162 4.9 Further Reduction of a Force and Couple System 166 4.10 Reduction of a Simple Distributed Loading 180
5 Equilibrium of a Rigid Body 193 Chapter Objectives 193 5.1 Conditions for Rigid-Body Equilibrium 193 5.1 Equilibrium in Two Dimensions 195 5.2 Free-Body Diagrams 195 5.3 Equations of Equilibrium 209 5.4 Two- and Three-Force Members 218 5.4 Equilibrium in Three Dimensions 231 5.5 Free-Body Diagrams 231 5.6 Equations of Equilibrium 237 5.7 Constraints for a Rigid Body 238
6 Structural Analysis 257 Chapter Objectives 257 6.1 Simple Trusses 257 6.2 The Method of Joints 260 6.3 Zero-Force Members 266 6.4 The Method of Sections 272 6.5 Space Trusses 283 6.6 Frames and Machines 287
7 Internal Forces 325 Chapter Objectives 325 7.1 Internal Forces Developed in Structural Members 325 7.2 Shear and Moment Equations and Diagrams 342 7.3 Relations Between Distributed Load,Shear, and Moment 350 7.4 Cables 360
8 Friction 379 Chapter Objectives 379 8.1 Characteristics of Dry Friction 379 8.2 Problems Involving Dry Friction 383 8.3 Wedges 404 8.4 Frictional Forces on Screws 406 8.5 Frictional Forces on Flat Belts 414 8.6 Frictional Forces on Collar Bearings, Pivot Bearings, and Disks 421 8.7 Frictional Forces on Journal Bearings 424 8.8 Rolling Resistance 426
9 Center of Gravity and Centroid 437 Chapter Objectives 437 9.1 Center of Gravity and Center of Mass for a System of Particles 437 9.2 Center of Gravity, Center of Mass and Centroid for a Body 439 9.3 Composite Bodies 461 9.4 Theorems of Pappus and Guldinus 475 9.5 Resultant of a General Distributed Loading 483 9.6 Fluid Pressure 484
10 Moments of Inertia 499 Chapter Objectives 499 10.1 Definition of Moments of Inertia for Areas 499 10.2 Parallel-Axis Theorem for an Area 501 10.3 Radius of Gyration of an Area 501 10.4 Moments of Inertia for an Area by Integration 502 10.5 Moments of Inertia for Composite Areas 510 10.6 Product of Inertia for an Area 518 10.7 Moments of Inertia for an Area About Inclined Axes 522 10.8 Mohrs Circle for Moments of Inertia 525 10.9 Mass Moment of Inertia 535
11 Virtual Work 551 Chapter Objectives 551 11.1 Definition of Work and Virtual Work 551 11.2 Principle of Virtual Work for a Particle and a Rigid Body 554 11.3 Principle of Virtual Work for a System of Connected Rigid Bodies 555 11.4 Conservative Forces 568 11.5 Potential Energy 569 11.6 Potential-Energy Criterion for Equilibrium 570 11.7 Stability of Equilibrium 572 Appendices A. Mathematical Expressions 584 B. Numerical and Computer Analysis 586 C. Review for the Fundamentals of Engineering Examination 592 Answers to Selected Problems 611 Index 627