Vector Mechanics for Engineers: Statics and Dynamics, 10th Edition – Ferdinand P. Beer

The main objective of a first course in mechanics should be to develop in the engineering student the ability to analyze any problem in a simple and logical manner and to apply to its solution a few, well-understood, basic principles. It is hoped that this text, as well as the preceding volume, Vector Mechanics for Engineers: Statics, will help the instructor achieve this goal.

General Approach

Vector algebra was introduced at tire beginning of tire first volume and is used in tire presentation of tire basic principles of statics, as well as in tire solution of many problems, particularly three-dimensional prob­lems. Similarly, the concept of vector differentiation will be introduced early in this volume, and vector analysis will be used throughout tire presentation of dynamics. This approach leads to more concise deriva­tions of tire 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 tire correct understanding of tire principles of mechanics and on their application to tire solution of engineering problems, and vector analysis is presented chiefly as a convenient tool,

Practical Applications Are Introduced Early. One of the char­acteristics of the approach used in this book is that mechanics of particles is clearly separated from the mechanics of rigid bodies. This approach makes it possible to consider simple practical applications at an early stage and to postpone the introduction of the more dif­ficult concepts. For example:

  • In Statics, the statics of particles is treated first, and the principle of equilibrium of a particle was immediately applied to practical situations involving only concurrent forces. The statics of rigid bodies is considered later, at which time the vector and scalar products of two vectors were introduced and used to define the moment of a force about a point and about an axis.
  • In Dynamics, the same division is observed. The basic con­cepts of force, mass, and acceleration, of work and energy, and of impulse and momentum are introduced and first applied to problems involving only particles. Thus, students can familiarize.

Contents:

1. Introduction
2. Statics of Particles
3. Rigid Bodies: Equivalent Systems of Forces
4. Equilibrium of Rigid Bodies
5. Distributed Forces: Centroids and Centers of Gravity
6. Analysis of Structures
7. Forces in Beams and Cables
8. Friction
9. Distributed Forces: Moments of Inertia
10. Method of Virtual Work
11. Kinematics of Particles
12. Kinetics of Particles: Newton’s Second Law
13. Kinetics of Particles: Energy and Momentum Methods
14. Systems of Particles
15. Kinematics of Rigid Bodies
16. Plane Motion of Rigid Bodies: Forces and Accelerations
17. Plane Motion of Rigid Bodies: Energy and Momentum Methods
18. Kinetics of Rigid Bodies in Three Dimensions
19. Mechanical Vibrations
Appendix
Photo Credits
Index
Answers to Problems

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