Statics

An accurate, carefully written text on introductory mechanics for beginning engineering students, practicing engineers, and teachers, this text emphasizes use of vectors and explains vector analysis. Other topics include analysis of statically determinate states of equilibrium, equilibrium under distributed forces, and frictional effects in statics. Numerous examples and exercises.

Vector Algebra and Allied Geometrical Concepts

Introduction

1

(1)

Vector and Scalar Quantities

2

(2)

Elementary Operations

4

(7)

Unit Vectors; Rectangular Cartesian Components

11

(6)

Plane and Cylindrical Polar Coordinates

17

(2)

The Scalar Product; Orthogonal Projection and Scalar Components

19

(8)

The Vector Product; Moment of a Vector about a Point

27

(8)

The Scalar Triple Product; the Moment of a Vector about a Line

35

(9)

The Vector Triple Product

44

(4)

Vector Equations

48

(11)

Principles of Statics

59

(81)

Newton's Laws of Motion; Equilibrium of a Particle

59

(3)

Force and Moment Vectors; the Couple

62

(10)

The Mechanical System and the Free-Body Diagram

72

(20)

Equilibrium of Systems

92

(6)

The Rigid Body: Constraints and Equilibrium

98

(4)

Equipollent Sets of Forces; Reduction of Sets of Forces

102

(12)

Distributed Force Sets; Center of Mass and of Gravity

114

(26)

Analysis of Statically Determinate States of Equilibrium

140

(75)

Statically Determinate and Statically Indeterminate Equilibrium

140

(6)

Analysis of the Equilibrium of Systems of Rigid Bodies

146

(17)

Analysis of Trusses

163

(21)

Analysis of Frames and Mechanisms

184

(31)

Equilibrium under Distributed Forces

215

(65)

Introduction

215

(1)

The Loaded Cable

216

(17)

Statically Determinate Beams; Moment and Shear Diagrams

233

(18)

Hydrostatics and Aerostatics

251

(12)

The Stress Tensor; Equilibrium Equations for the Continuum

263

(17)

Frictional Effects in Statics

280

(65)

Sources of Friction in Technology

280

(6)

Elementary Frictional Analysis

286

(14)

Further Aspects of Frictional Analysis

300

(8)

Cable Friction

308

(6)

Friction in Machine Elements

314

(31)

Appendix Centers of Mass

345

(16)

A.1 Definition of the Mass Center of a Body

345

(3)

A.2 Translation and Rotation of Axes

348

(1)

A.3 Further Methods of Locating the Mass Center

349

(3)

A.4 Center of Mass of Uniform Bodies

352

(9)

Index

361

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