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A course of mathematics for engineers and scientists. Volume 3, Theoretical mechanics /
A Course of Mathematics for Engineers and Scientists, Volume 3: Theoretical Mechanics details the fundamentals concepts of theoretical mechanics. The title first covers the foundations of mechanics, and then proceeds to tackling plane statics and virtual work. Next, the selection talks about continu...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Pergamon,
1963.
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| Colección: | Pergamon international library.
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| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Theoretical Mechanics: A Course of Mathematics for Engineers and Scientists; Copyright Page; Table of Contents; PREFACE; CHAPTER I. THE FOUNDATIONS OF MECHANICS; 1:1 Introduction; 1:2 Fundamental concepts; 1:3 Newton's Laws o�i Motion; CHAPTER II. PLANE STATICS AND VIRTUAL WORK; 2:1 The equilibrium of a particle and a rigid body; 2:2 Equivalent sets of forces; 2:3 The work done by a force; 2:4 The Principle of Virtual Work; 2:5 Potential energy; 2:6 Statically indeterminate systems; CHAPTER III. CONTINUOUSLY DISTRIBUTED FORCES
- 3:1 A uniform, flexible, inelastic string hanging under gravity3:2 Variable loading
- the suspension bridge; 3:3 The equilibrium of heavy elastic strings; 3:4 Strings in contact with surfaces; 3:5 Shearing forces and bending moments; 3:6 The bending of thin elastic beams; 3:7 Pure flexure; 3:8 The properties of the Heaviside Unit function and its derivative; 3:9 Macaulay's Method; 3:10 Clapeyron's theorem of three moments; 3:11 Struts; CHAPTER IV. KINEMATICS; 4:1 Introduction; 4:2 Velocity and acceleration; 4:3 Special representations; 4:4 The Hodograph; 4:5 Relative motion
- 4:6 Angular velocity4:7 Instantaneous Centre: Centrodes; CHAPTER V. PARTICLE DYNAMICS I: MOTION WITH ONE DEGREE OF FREEDOM; 5:1 Introduction: Conservative forces; 5:2 Motion on a straight line; 5:3 Simple harmonic motion and damping; 5:4 Motion in a circle; 5:5 Motion on other curves; CHAPTER VI. PARTICLE DYNAMICS II: MOTION WITH TWO DEGREES OF FREEDOM; 6:1 Introduction; 6:2 The motion of a projectile in a resisting medium; 6:3 Motion under a central force-general theorems; 6:4 The differential equations of central orbits; 6:5 The direct law of force; 6:6 The inverse square law
- 6:7 Newton's Theorem of the revolving orbitCHAPTER VII. SYSTEMS OF PARTICLES; 7:1 The motion of two interacting particles; 7:2 The encounter o�i two interacting particles; 7:3 The motion of connected particles; 7:4 The general theory of systems of particles; 7:5 The motion of a rigid lamina; 7:6 Applications of the principles of conservation of linear momentum, angular momentum and energy to the motion of rigid bodies; 7:7 Moments and Products of Inertia of a plane system; CHAPTER VIII. THE UNIPLANAR MOTION OF A RIGID BODY; 8:1 Introduction; 8:2 The motion of a rigid body about a fixed axis