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 |  موضوع: كتاب Beer Vector Mechanics for Engineers Statics and Dynamics الجمعة 11 أبريل 2014, 1:27 pm | |
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Beer Vector Mechanics for Engineers Statics and Dynamics 10th Edition
Ferdinand P. Beer
Late of Lehigh University
E. Russell Johnston, Jr.
Late of University of Connecticut
David F. Mazurek
U.S. Coast Guard Academy
Phillip J. Cornwell
Rose-Hulman Institute of Technology
With the collaboration of
Brian P. Self
California Polytechnic State University - San Luis Obispo
ويتناول الموضوعات الأتية :
Contents
Preface xix
Guided Tour xxiii
What Resources Support This Textbook? xxv
Acknowledgments xxvii
Connect xxviii
List of Symbols xxx
1 Introduction 1
1.1 What Is Mechanics? 2
1.2 Fundamental Concepts and Principles 2
1.3 Systems of Units 5
1.4 Conversion from One System of Units to Another 10
1.5 Method of Problem Solution 11
1.6 Numerical Accuracy 13
2 Statics of Particles 14
2.1 Introduction 16
Forces in a Plane 16
2.2 Force on a Particle. Resultant of Two Forces 16
2.3 Vectors 17
2.4 Addition of Vectors 18
2.5 Resultant of Several Concurrent Forces 20
2.6 Resolution of a Force into Components 21
2.7 Rectangular Components of a Force. Unit Vectors 27
2.8 Addition of Forces by Summing X and Y Components 30
2.9 Equilibrium of a Particle 35
2.10 Newton’s First Law of Motion 36
2.11 Problems Involving the Equilibrium of a Particle.
Free-Body Diagrams 36
Forces in Space 45
2.12 Rectangular Components of a Force in Space 45
2.13 Force Defined by Its Magnitude and Two Points on Its
Line of Action 49
2.14 Addition of Concurrent Forces in Space 50
2.15 Equilibrium of a Particle in Space 58
Review and Summary for Chapter 2 66
Review Problems 69
Computer Problems 723 Rigid Bodies: Equivalent
Systems of Forces 74
3.1 Introduction 76
3.2 External and Internal Forces 76
3.3 Principle of Transmissibility. Equivalent Forces 77
3.4 Vector Product of Two Vectors 79
3.5 Vector Products Expressed in Terms of
Rectangular Components 81
3.6 Moment of a Force about a Point 83
3.7 Varignon’s Theorem 85
3.8 Rectangular Components of the Moment of a Force 85
3.9 Scalar Product of Two Vectors 96
3.10 Mixed Triple Product of Three Vectors 98
3.11 Moment of a Force about a Given Axis 99
3.12 Moment of a Couple 110
3.13 Equivalent Couples 111
3.14 Addition of Couples 113
3.15 Couples Can Be Represented by Vectors 113
3.16 Resolution of a Given Force into a Force at O
and a Couple 114
3.17 Reduction of a System of Forces to One Force and
One Couple 125
3.18 Equivalent Systems of Forces 126
3.19 Equipollent Systems of Vectors 127
3.20 Further Reduction of a System of Forces 128
*3.21 Reduction of a System of Forces to a Wrench 130
Review and Summary for Chapter 3 148
Review Problems 153
Computer Problems 156
4 Equilibrium of Rigid Bodies 158
4.1 Introduction 160
4.2 Free-Body Diagram 161
Equilibrium in Two Dimensions 162
4.3 Reactions at Supports and Connections
for a Two-Dimensional Structure 162
4.4 Equilibrium of a Rigid Body in Two Dimensions 164
4.5 Statically Indeterminate Reactions. Partial Constraints 166
4.6 Equilibrium of a Two-Force Body 183
4.7 Equilibrium of a Three-Force Body 184
Equilibrium in Three Dimensions 191
4.8 Equilibrium of a Rigid Body in Three Dimensions 191
x Contents4.9 Reactions at Supports and Connections for a xi
Three-Dimensional Structure 191
Review and Summary for Chapter 4 210
Review Problems 213
Computer Problems 216
5 Distributed Forces: Centroids
and Centers of Gravity 218
5.1 Introduction 220
Areas and Lines 220
5.2 Center of Gravity of a Two-Dimensional Body 220
5.3 Centroids of Areas and Lines 222
5.4 First Moments of Areas and Lines 223
5.5 Composite Plates and Wires 226
5.6 Determination of Centroids by Integration 236
5.7 Theorems of Pappus-Guldinus 238
*5.8 Distributed Loads on Beams 248
*5.9 Forces on Submerged Surfaces 249
Volumes 258
5.10 Center of Gravity of a Three-Dimensional Body.
Centroid of a Volume 258
5.11 Composite Bodies 261
5.12 Determination of Centroids of Volumes by Integration 261
Review and Summary for Chapter 5 274
Review Problems 278
Computer Problems 280
6 Analysis of Structures 282
6.1 Introduction 284
Trusses 285
6.2 Definition of a Truss 285
6.3 Simple Trusses 287
6.4 Analysis of Trusses by the Method of Joints 288
*6.5 Joints Under Special Loading Conditions 290
*6.6 Space Trusses 292
6.7 Analysis of Trusses by the Method of Sections 302
*6.8 Trusses Made of Several Simple Trusses 303
Frames and Machines 314
6.9 Structures Containing Multiforce Members 314
6.10 Analysis of a Frame 314
Contents6.11 Frames Which Cease to Be Rigid When Detached
from Their Supports 315
6.12 Machines 330
Review and Summary for Chapter 6 344
Review Problems 347
Computer Problems 350
7 Forces in Beams and Cables 352
*7.1 Introduction 354
*7.2 Internal Forces in Members 354
Beams 361
*7.3 Various Types of Loading and Support 361
*7.4 Shear and Bending Moment in a Beam 363
*7.5 Shear and Bending-Moment Diagrams 365
*7.6 Relations Among Load, Shear, and Bending Moment 373
Cables 383
*7.7 Cables with Concentrated Loads 383
*7.8 Cables with Distributed Loads 384
*7.9 Parabolic Cable 385
*7.10 Catenary 395
Review and Summary for Chapter 7 403
Review Problems 406
Computer Problems 408
8 Friction 410
8.1 Introduction 412
8.2 The Laws of Dry Friction. Coefficients
of Friction 412
8.3 Angles of Friction 413
8.4 Problems Involving Dry Friction 416
8.5 Wedges 429
8.6 Square-Threaded Screws 430
*8.7 Journal Bearings. Axle Friction 439
*8.8 Thrust Bearings. Disk Friction 441
*8.9 Wheel Friction. Rolling Resistance 442
*8.10 Belt Friction 449
Review and Summary for Chapter 8 460
Review Problems 463
Computer Problems 466
xii Contents9 Distributed Forces: xiii
Moments of Inertia 468
9.1 Introduction 470
Moments of Inertia of Areas 471
9.2 Second Moment, or Moment of Inertia, of an Area 471
9.3 Determination of the Moment of Inertia of an
Area by Integration 472
9.4 Polar Moment of Inertia 473
9.5 Radius of Gyration of an Area 474
9.6 Parallel-Axis Theorem 481
9.7 Moments of Inertia of Composite Areas 482
*9.8 Product of Inertia 495
*9.9 Principal Axes and Principal Moments of Inertia 496
*9.10 Mohr’s Circle for Moments and Products of Inertia 504
Moments of Inertia of a Mass 510
9.11 Moment of Inertia of a Mass 510
9.12 Parallel-Axis Theorem 512
9.13 Moments of Inertia of Thin Plates 513
9.14 Determination of the Moment of Inertia of a
Three-Dimensional Body by Integration 514
9.15 Moments of Inertia of Composite Bodies 514
*9.16 Moment of Inertia of a Body with Respect to an Arbitrary Axis
Through O. Mass Products of Inertia 530
*9.17 Ellipsoid of Inertia. Principal Axes of Inertia 531
*9.18 Determination of the Principal Axes and Principal Moments of
Inertia of a Body of Arbitrary Shape 533
Review and Summary for Chapter 9 545
Review Problems 551
Computer Problems 554
10 Method of Virtual Work 556
*10.1 Introduction 558
*10.2 Work of a Force 558
*10.3 Principle of Virtual Work 561
*10.4 Applications of the Principle of Virtual Work 562
*10.5 Real Machines. Mechanical Efficiency 564
*10.6 Work of a Force During a Finite Displacement 578
*10.7 Potential Energy 580
*10.8 Potential Energy and Equilibrium 581
*10.9 Stability of Equilibrium 582
Review and Summary for Chapter 10 592
Review Problems 595
Computer Problems 598
Contentsxiv Contents 11 Kinematics of Particles 600
11.1 Introduction to Dynamics 602
Rectilinear Motion of Particles 603
11.2 Position, Velocity, and Acceleration 603
11.3 Determination of the Motion of a Particle 607
11.4 Uniform Rectilinear Motion 618
11.5 Uniformly Accelerated Rectilinear Motion 618
11.6 Motion of Several Particles 619
*11.7 Graphical Solution of Rectilinear-Motion Problems 632
*11.8 Other Graphical Methods 633
Curvilinear Motion of Particles 643
11.9 Position Vector, Velocity, and Acceleration 643
11.10 Derivatives of Vector Functions 645
11.11 Rectangular Components of Velocity and Acceleration 647
11.12 Motion Relative to a Frame in Translation 648
11.13 Tangential and Normal Components 667
11.14 Radial and Transverse Components 670
Review and Summary for Chapter 11 685
Review Problems 689
Computer Problems 692
12 Kinetics of Particles:
Newton’s Second Law 694
12.1 Introduction 696
12.2 Newton’s Second Law of Motion 697
12.3 Linear Momentum of a Particle. Rate of Change
of Linear Momentum 698
12.4 Systems of Units 699
12.5 Equations of Motion 701
12.6 Dynamic Equilibrium 703
12.7 Angular Momentum of a Particle. Rate of Change
of Angular Momentum 727
12.8 Equations of Motion in Terms of Radial and
Transverse Components 728
12.9 Motion Under a Central Force. Conservation of
Angular Momentum 729
12.10 Newton’s Law of Gravitation 730
*12.11 Trajectory of a Particle Under a Central Force 741
*12.12 Application to Space Mechanics 742
*12.13 Kepler’s Laws of Planetary Motion 745
Review and Summary for Chapter 12 754
Review Problems 758
Computer Problems 76113 Kinetics of Particles: Energy and Contents xv
Momentum Methods 762
13.1 Introduction 764
13.2 Work of a Force 764
13.3 Kinetic Energy of a Particle. Principle of Work
and Energy 768
13.4 Applications of the Principle of Work and Energy 770
13.5 Power and Efficiency 771
13.6 Potential Energy 789
*13.7 Conservative Forces 791
13.8 Conservation of Energy 792
13.9 Motion Under a Conservative Central Force.
Application to Space Mechanics 793
13.10 Principle of Impulse and Momentum 814
13.11 Impulsive Motion 817
13.12 Impact 831
13.13 Direct Central Impact 831
13.14 Oblique Central Impact 834
13.15 Problems Involving Energy and Momentum 837
Review and Summary for Chapter 13 854
Review Problems 860
Computer Problems 864
14 Systems of Particles 866
14.1 Introduction 868
14.2 Application of Newton’s Laws to the Motion of a System
of Particles. Effective Forces 868
14.3 Linear and Angular Momentum of a System of Particles 871
14.4 Motion of the Mass Center of a System of Particles 872
14.5 Angular Momentum of a System of Particles About Its
Mass Center 874
14.6 Conservation of Momentum for a System of Particles 876
14.7 Kinetic Energy of a System of Particles 886
14.8 Work-Energy Principle. Conservation of Energy for a System
of Particles 887
14.9 Principle of Impulse and Momentum for a System
of Particles 887
*14.10 Variable Systems of Particles 897
*14.11 Steady Stream of Particles 898
*14.12 Systems Gaining or Losing Mass 900
Review and Summary for Chapter 14 917
Review Problems 921
Computer Problems 92415 Kinematics of Rigid Bodies 926
15.1 Introduction 928
15.2 Translation 930
15.3 Rotation About a Fixed Axis 931
15.4 Equations Defining the Rotation of a Rigid Body
About a Fixed Axis 934
15.5 General Plane Motion 944
15.6 Absolute and Relative Velocity in Plane Motion 946
15.7 Instantaneous Center of Rotation in Plane Motion 958
15.8 Absolute and Relative Acceleration in Plane Motion 970
*15.9 Analysis of Plane Motion in Terms of a Parameter 972
15.10 Rate of Change of a Vector with Respect to a
Rotating Frame 985
15.11 Plane Motion of a Particle Relative to a Rotating Frame.
Coriolis Acceleration 987
*15.12 Motion About a Fixed Point 998
*15.13 General Motion 1001
*15.14 Three-Dimensional Motion of a Particle Relative to a Rotating
Frame. Coriolis Acceleration 1013
*15.15 Frame of Reference in General Motion 1014
Review and Summary for Chapter 15 1026
Review Problems 1033
Computer Problems 1037
16 Plane Motion of Rigid Bodies: Forces
and Accelerations 1040
16.1 Introduction 1042
16.2 Equations of Motion for a Rigid Body 1043
16.3 Angular Momentum of a Rigid Body in Plane Motion 1044
16.4 Plane Motion of a Rigid Body. D’Alembert’s Principle 1045
*16.5 A Remark on the Axioms of the Mechanics
of Rigid Bodies 1046
16.6 Solution of Problems Involving the Motion of a
Rigid Body 1047
16.7 Systems of Rigid Bodies 1048
16.8 Constrained Plane Motion 1072
Review and Summary for Chapter 16 1097
Review Problems 1099
Computer Problems 1103
xvi Contents17 Plane Motion of Rigid Bodies: Energy xvii
and Momentum Methods 1104
17.1 Introduction 1106
17.2 Principle of Work and Energy for a Rigid Body 1106
17.3 Work of Forces Acting on a Rigid Body 1107
17.4 Kinetic Energy of a Rigid Body in Plane Motion 1108
17.5 Systems of Rigid Bodies 1109
17.6 Conservation of Energy 1110
17.7 Power 1111
17.8 Principle of Impulse and Momentum for the Plane Motion
of a Rigid Body 1129
17.9 Systems of Rigid Bodies 1132
17.10 Conservation of Angular Momentum 1132
17.11 Impulsive Motion 1147
17.12 Eccentric Impact 1147
Review and Summary for Chapter 17 1163
Review Problems 1167
Computer Problems 1170
18 Kinetics of Rigid Bodies in
Three Dimensions 1172
*18.1 Introduction 1174
*18.2 Angular Momentum of a Rigid Body in
Three Dimensions 1175
*18.3 Application of the Principle of Impulse and
Momentum to the Three-Dimensional Motion
of a Rigid Body 1179
*18.4 Kinetic Energy of a Rigid Body
in Three Dimensions 1180
*18.5 Motion of a Rigid Body in Three Dimensions 1193
*18.6 Euler’s Equations of Motion. Extension of
D’Alembert’s Principle to the Motion of a
Rigid Body in Three Dimensions 1194
*18.7 Motion of a Rigid Body About a Fixed Point 1195
*18.8 Rotation of a Rigid Body About a Fixed Axis 1196
*18.9 Motion of a Gyroscope. Eulerian Angles 1212
*18.10 Steady Precession of a Gyroscope 1214
*18.11 Motion of an Axisymmetrical Body
Under No Force 1215
Review and Summary for Chapter 18 1229
Review Problems 1234
Computer Problems 1238
Contents19 Mechanical Vibrations 1240
19.1 Introduction 1242
Vibrations Without Damping 1242
19.2 Free Vibrations of Particles. Simple
Harmonic Motion 1242
19.3 Simple Pendulum (Approximate Solution) 1246
*19.4 Simple Pendulum (Exact Solution) 1247
19.5 Free Vibrations of Rigid Bodies 1256
19.6 Application of the Principle of Conservation
of Energy 1268
19.7 Forced Vibrations 1278
Damped Vibrations 1290
*19.8 Damped Free Vibrations 1290
*19.9 Damped Forced Vibrations 1293
*19.10 Electrical Analogues 1294
Review and Summary for Chapter 19 1305
Review Problems 1310
Computer Problems 1314
Appendix A1
Photo Credits C1
Index I1
Answers to Problems AN1
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