Description
Vector Mechanics for Engineers: Statics and Dynamics 12th Edition by Ferdinand P. Beer, ISBN-13: 978-1259638091
[PDF eBook eTextbook] – Available Instantly
- Publisher : McGraw Hill
- Publication date : January 29, 2018
- Edition : 12th
- Language : English
- 1504 pages (Large size file: 59 MB)
- ISBN-10 : 125963809X
- ISBN-13 : 978-1259638091
NOTE: This book is a standalone book and will not include any access codes.
Vector Mechanics for Engineers helps students analyze problems in a simple and logical manner and then apply basic principles to their solutions, encouraging a strong conceptual understanding of these basic principles. Offering a unified presentation of the principles of kinetics and a systematic problem-solving approach, the text has proven to be an effective teaching tool, especially when paired with the digital resources available.
A primary objective in a first course in mechanics is to help develop a student’s ability first to analyze problems in a simple and logical manner, and then to apply basic principles to their solutions. A strong conceptual understanding of these basic mechanics principles is essential for successfully solving mechanics problems. We hope this text will help instructors achieve these goals.
Vector algebra is introduced at the beginning of the Statics volume and is used in the presentation of the basic principles of statics, as well as in the solution of many problems, particularly three-dimensional problems. Similarly, the concept of vector differentiation is introduced early in the Dynamics volume, and vector analysis is used throughout the presentation of dynamics. This approach leads to more concise derivations of the fundamental principles of mechanics. It also makes it possible to analyze many problems in kinematics and kinetics which could not be solved by scalar methods. The emphasis in this text, however, remains on the correct understanding of the principles of mechanics and on their application to the solution of engineering problems, and vector analysis is presented chiefly as a convenient tool.
Table of Contents:
Preface xv
Guided Tour xix
Digital Resources xxiii
Acknowledgments xxv
List of Symbols xxvii
1 Introduction 1
1.1 What is Mechanics? 2
1.2 Fundamental Concepts and Principles 3
1.3 Systems of Units 5
1.4 Converting between Two Systems of Units 10
1.5 Method of Solving Problems 11
1.6 Numerical Accuracy 15
2 Statics of Particles 16
2.1 Addition of Planar Forces 17
2.2 Adding Forces by Components 29
2.3 Forces and Equilibrium in a Plane 38
2.4 Adding Forces in Space 54
2.5 Forces and Equilibrium in Space 67
Review and Summary 76
Review Problems 80
3 Rigid Bodies: Equivalent Systems
of Forces 83
3.1 Forces and Moments 85
3.2 Moment of a Force about an Axis 105
3.3 Couples and Force-Couple Systems 119
3.4 Simplifying Systems of Forces 138
Review and Summary 162
Review Problems 167
4 Equilibrium of Rigid Bodies 170
4.1 Equilibrium in Two Dimensions 173
4.2 Two Special Cases 199
4.3 Equilibrium in Three Dimensions 207
Review and Summary 227
Review Problems 229
5 Distributed Forces: Centroids and
Centers of Gravity 232
5.1 Planar Centers of Gravity and Centroids 234
5.2 Further Considerations of Centroids 250
5.3 Additional Applications of Centroids 262
5.4 Centers of Gravity and Centroids of Volumes 276
Review and Summary 293
Review Problems 297
6 Analysis of Structures 299
6.1 Analysis of Trusses 301
6.2 Other Truss Analyses 319
6.3 Frames 334
6.4 Machines 350
Review and Summary 363
Review Problems 365
7 Internal Forces and Moments 368
7.1 Internal Forces in Members 369
7.2 Beams 379
7.3 Relations Among Load, Shear, and Bending Moment 392
*7.4 Cables 407
*7.5 Catenary Cables 419
Review and Summary 426
Review Problems 429
8 Friction 431
8.1 The Laws of Dry Friction 433
8.2 Wedges and Screws 453
*8.3 Friction on Axles, Disks, and Wheels 462
8.4 Belt Friction 471
Review and Summary 480
Review Problems 482
9 Distributed Forces: Moments of
Inertia 485
9.1 Moments of Inertia of Areas 487
9.2 Parallel-Axis Theorem and Composite Areas 497
*9.3 Transformation of Moments of Inertia 516
*9.4 Mohr’s Circle for Moments of Inertia 526
9.5 Mass Moments of Inertia 533
*9.6 Additional Concepts of Mass Moments of Inertia 553
Review and Summary 568
Review Problems 573
10 Method of Virtual Work 575
*10.1 The Basic Method 576
*10.2 Work, Potential Energy, and Stability 596
Review and Summary 610
Review Problems 613
11 Kinematics of Particles 615
11.1 Rectilinear Motion of Particles 617
11.2 Special Cases and Relative Motion 638
*11.3 Graphical Solutions 654
11.4 Curvilinear Motion of Particles 665
11.5 Non-Rectangular Components 692
Review and Summary 713
Review Problems 717
12 Kinetics of Particles:
Newton’s Second Law 721
12.1 Newton’s Second Law and Linear Momentum 723
12.2 Angular Momentum and Orbital Motion 767
*12.3 Applications of Central-Force Motion 778
Review and Summary 792
Review Problems 796
*Advanced or specialty topics
13 Kinetics of Particles: Energy and
Momentum Methods 799
13.1 Work and Energy 801
13.2 Conservation of Energy 830
13.3 Impulse and Momentum 858
13.4 Impacts 883
Review and Summary 910
Review Problems 916
14 Systems of Particles 920
14.1 Applying Newton’s Second Law and Momentum Principles
to Systems of Particles 922
14.2 Energy and Momentum Methods for a System of
Particles 940
*14.3 Variable Systems of Particles 956
Review and Summary 975
Review Problems 979
15 Kinematics of Rigid Bodies 982
15.1 Translation and Fixed-Axis Rotation 985
15.2 General Plane Motion: Velocity 1002
15.3 Instantaneous Center of Rotation 1023
15.4 General Plane Motion: Acceleration 1037
15.5 Analyzing Motion with Respect to a Rotating Frame 1056
*15.6 Motion of a Rigid Body in Space 1073
*15.7 Motion Relative to a Moving Reference Frame 1090
Review and Summary 1105
Review Problems 1111
16 Plane Motion of Rigid Bodies: Forces
and Accelerations 1115
16.1 Kinetics of a Rigid Body 1117
16.2 Constrained Plane Motion 1152
Review and Summary 1186
Review Problems 1188
17 Plane Motion of Rigid Bodies: Energy
and Momentum Methods 1192
17.1 Energy Methods for a Rigid Body 1194
17.2 Momentum Methods for a Rigid Body 1222
17.3 Eccentric Impact 1245
Review and Summary 1271
Review Problems 1275
18 Kinetics of Rigid Bodies in Three
Dimensions 1279
18.1 Energy and Momentum of a Rigid Body 1281
*18.2 Motion of a Rigid Body in Three Dimensions 1300
*18.3 Motion of a Gyroscope 1323
Review and Summary 1341
Review Problems 1346
19 Mechanical Vibrations 1350
19.1 Vibrations without Damping 1352
19.2 Free Vibrations of Rigid Bodies 1368
19.3 Applying the Principle of Conservation of Energy 1382
19.4 Forced Vibrations 1393
19.5 Damped Vibrations 1407
Review and Summary 1424
Review Problems 1429
Appendix: Fundamentals of Engineering Examination A1
Answers to Problems AN1
Index I1
Properties of Geometric Shapes I17
Born in France and educated in France and Switzerland, Ferdinand P. Beer held an M.S. degree from the Sorbonne and an Sc.D. degree in theoretical mechanics from the University of Geneva. He came to the United States after serving in the French army during the early part of World War II and taught for four years at Williams College in the Williams-MIT joint arts and engineering program. Following his service at Williams College, Beer joined the faculty of Lehigh University, where he taught for thirty-seven years. He held several positions, including the University Distinguished Professors Chair and Chairman of the Mechanical Engineering and Mechanics Department. In 1995, Beer was awarded an honorary Doctor of Engineering degree by Lehigh University.
Born in Philadelphia, Russ holds a B.S. degree in civil engineering from the University of Delaware and an Sc.D. degree in the field of structural engineering from The Massachusetts Institute of Technology (MIT). He taught at Lehigh University and Worchester Polytechnic Institute (WPI) before joining the faculty of the University of Connecticut where he held the position of Chairman of the Civil Engineering Department and taught for twenty-six years. In 1991 Russ received the Outstanding Civil Engineer Award from the Connecticut Section of the American Society of Civil Engineers.
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