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Copyright, ii
Preface, iv
1. General Principles, 2
Chapter Objectives, 3
1.1. Mechanics, 3
1.2. Fundamental Concepts, 4
1.3. Units of Measurement, 7
1.4. The International System of Units, 9
1.5. Numerical Calculations, 10
1.6. General Procedure for Analysis, 12
2. Force Vectors, 16
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, 32
2.5. Cartesian Vectors, 43
2.6. Addition of Cartesian Vectors, 46
2.7. Position Vectors, 56
2.8. Force Vector Directed Along a Line, 59
2.9. Dot Product, 69
3. Equilibrium of a Particle, 84
Chapter Objectives, 85
3.1. Condition for the Equilibrium of a Particle, 85
3.2. The Free-Body Diagram, 86
3.3. Coplanar Force Systems, 89
3.4. Three-Dimensional Force Systems, 103
4. Force System Resultants, 116
Chapter Objectives, 117
4.1. Moment of a Force—Scalar Formulation, 117
4.2. Cross Product, 121
4.3. Moment of a Force—Vector Formulation, 124
4.4. Principle of Moments, 128
4.5. Moment of a Force about a Specified Axis, 139
4.6. Moment of a Couple, 148
4.7. Simplification of a Force and Couple System, 160
4.8. Further Simplification of a Force and Couple System, 170
4.9. Reduction of a Simple Distributed Loading, 183
5. Equilibrium of a Rigid Body, 198
Chapter Objectives, 199
5.1. Conditions for Rigid-Body Equilibrium, 199
5.2. Free-Body Diagrams, 201
5.3. Equations of Equilibrium, 214
5.4. Two- and Three-Force Members, 224
5.5. Free-Body Diagrams, 237
5.6. Equations of Equilibrium, 242
5.7. Constraints and Statical Determinacy, 243
6. Structural Analysis, 262
Chapter Objectives, 263
6.1. Simple Trusses, 263
6.2. The Method of Joints, 266
6.3. Zero-Force Members, 272
6.4. The Method of Sections, 280
6.5. Space Trusses, 290
6.6. Frames and Machines, 294
7. Internal Forces, 328
Chapter Objectives, 329
7.1. Internal Forces Developed in Structural Members, 329
7.2. Shear and Moment Equations and Diagrams, 345
7.3. Relations between Distributed Load, Shear, and Moment, 354
7.4. Cables, 365
8. Friction, 386
Chapter Objectives, 387
8.1. Characteristics of Dry Friction, 387
8.2. Problems Involving Dry Friction, 392
8.3. Wedges, 412
8.4. Frictional Forces on Screws, 414
8.5. Frictional Forces on Flat Belts, 421
8.6. Frictional Forces on Collar Bearings, Pivot Bearings, and Disks, 429
8.7. Frictional Forces on Journal Bearings, 432
8.8. Rolling Resistance, 434
9. Center of Gravity and Centroid, 446
Chapter Objectives, 447
9.1. Center of Gravity, Center of Mass, and the Centroid of a Body, 447
9.2. Composite Bodies, 470
9.3. Theorems of Pappus and Guldinus, 484
9.4. Resultant of a General Distributed Loading, 493
9.5. Fluid Pressure, 494
10. Moments of Inertia, 510
Chapter Objectives, 511
10.1. Definition of Moments of Inertia for Areas, 511
10.2. Parallel-Axis Theorem for an Area, 512
10.3. Radius of Gyration of an Area, 513
10.4. Moments of Inertia for Composite Areas, 522
10.5. Product of Inertia for an Area, 530
10.6. Moments of Inertia for an Area about Inclined Axes, 534
10.7. Mohr’s Circle for Moments of Inertia, 537
10.8. Mass Moment of Inertia, 545
11. Virtual Work, 562
Chapter Objectives, 563
11.1. Definition of Work, 563
11.2. Principle of Virtual Work, 565
11.3. Principle of Virtual Work for a System of Connected Rigid Bodies, 567
11.4. Conservative Forces, 579
11.5. Potential Energy, 580
11.6. Potential-Energy Criterion for Equilibrium, 582
11.7. Stability of Equilibrium Configuration, 583
Appendix A. Mathematical Review and Expressions, 598
Fundamental Problems Partial Solutions and Answers, 603
Answers to Selected Problems, 620
Index, 650

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