Engineering mechanics : statics / 3rd ed.

Table Of Contents:
Preface xiii
About the Authors xxi

Introduction 2(16)

Engineering and Mechanics 4(1)

Learning Mechanics 4(1)

Problem Solving 4(1)

Calculators and Computers 5(1)

Engineering Applications 5(1)

Subsequent Use of This Text 5(1)

Fundamental Concepts 5(3)

Space and Time 6(1)

Newton's Laws 7(1)

Units 8(5)

International System of Units 8(1)

U.S. Customary Units 9(1)

Angular Units 9(1)

Conversion of Units 10(3)

Newtonian Gravitation 13(5)

Vectors 18(65)

Vector Operations and Definitions 20(1)

Scalars and Vectors 20(1)

Rules for Manipulating Vectors 21(8)

Vector Addition 21(2)

Product of a Scalar and a Vector 23(1)

Vector Subtraction 23(1)

Unit Vectors 23(1)

Vector Components 24(5)

Cartesian Components 29(1)

Components in Two Dimensions 29(13)

Manipulating Vectors in Terms of Components 30(1)

Position Vectors in Terms of Components 30(12)

Components in Three Dimensions 42(16)

Magnitude of a Vector in Terms of Components 43(1)

Direction Cosines 44(1)

Position Vectors in Terms of Components 45(1)

Components of a Vector Parallel to a Given Line 45(13)

Products of Vectors 58(1)

Dot Products 58(9)

Definition 58(1)

Dot Products in Terms of Components 59(1)

Vector Components Parallel and Normal to a Line 60(7)

Cross Products 67(2)

Definition 67(1)

Cross Products in Terms of Components 67(1)

Evaluating a 3 x 3 Determinant 68(1)

Mixed Triple Products 69(14)

Chapter Summary 76(2)

Review Problems 78(5)

Forces 83(41)

Types of Forces 84(5)

Terminology 84(1)

Gravitational Forces 84(1)

Contact Forces 85(4)

Equilibrium and Free-Body Diagrams 89(2)

Two-Dimensional Force Systems 91(15)

Application to Engineering: Steady Flight 95(11)

Three-Dimensional Force Systems 106(18)

Computational Mechanics 114(4)

Chapter Summary 118(2)

Review Problems 120(4)

Systems of Forces and Moments 124(76)

Two-Dimensional Description of the Moment 126(22)

The Moment Vector 137(1)

Magnitude of the Moment 137(1)

Sense of the Moment 137(2)

Relation to the Two-Dimensional Description 139(1)

Varignon's Theorem 140(8)

Moment of a Force About a Line 148(13)

Definition 148(2)

Applying the Definition 150(4)

Application to Engineering: Rotating Machines 154(7)

Couples 161(9)

Equivalent Systems 170(4)

Conditions for Equivalence 170(1)

Demonstration of Equivalence 170(4)

Representing Systems by Equivalent Systems 174(26)

Representing a System by a Force and a Couple 175(5)

Representing a System by a Wrench 180(10)

Computational Mechanics 190(3)

Chapter Summary 193(1)

Review Problems 194(6)

Objects in Equilibrium 200(60)

The Equilibrium Equations 202(1)

Two-Dimensional Applications 202(21)

Supports 203(3)

Free-Body Diagrams 206(1)

The Scalar Equilibrium Equations 207(5)

Application to Engineering: Design for Human Factors 212(11)

Statically Indeterminate Objects 223(6)

Redundant Supports 223(2)

Improper Supports 225(4)

Three-Dimensional Applications 229(16)

Supports 229(5)

The Scalar Equilibrium Equations 234(11)

Two-Force and Three-Force Members 245(15)

Two-Force Members 245(2)

Three-Force Members 247(5)

Computational Mechanics 252(2)

Chapter Summary 254(2)

Review Problems 256(4)

Structures in Equilibrium 260(56)

Trusses 262(2)

The Method of Joints 264(11)

Application to Engineering: Bridge Design 268(7)

The Method of Sections 275(5)

Space Trusses 280(4)

Frames and Machines 284(32)

Analyzing the Entire Structure 285(1)

Analyzing the Members 285(22)

Computational Mechanics 307(3)

Chapter Summary 310(1)

Review Problems 311(5)

Centroids and Centers of Mass 316(58)

Centroids 318(1)

Centroids of Areas 319(6)

Centroids of Composite Areas 325(6)

Distributed Loads 331(6)

Describing a Distributed Load 331(1)

Determining Force and Moment 331(1)

The Area Analogy 332(5)

Centroids of Volumes and Lines 337(12)

Definitions 338(5)

Centroids of Composite Volumes and Lines 343(6)

The Pappus-Guldinus Theorems 349(5)

First Theorem 349(1)

Second Theorem 350(4)

Centers of Mass 354(1)

Definition of the Center of Mass 354(1)

Centers of Mass of Objects 355(5)

Centers of Mass of Composite Objects 360(14)

Application to Engineering: Centers of Mass of Vehicles 363(4)

Chapter Summary 367(2)

Review Problems 369(5)

Moments of Inertia 374(48)

Areas 376(1)

Definitions 376(7)

Parallel-Axis Theorems 383(12)

Application to Engineering: Beam Design 389(6)

Rotated and Principal Axes 395(10)

Rotated Axes 396(1)

Moment of Inertia About the x' Axis 396(1)

Moment of Inertia About the y' Axis 397(1)

Principal Axes 397(3)

Mohr's Circle 400(5)

Masses 405(1)

Simple Objects 405(3)

Slender Bars 405(1)

Thin Plates 406(2)

Parallel-Axis Theorem 408(14)

Chapter Summary 417(2)

Review Problems 419(3)

Friction 422(54)

Theory of Dry Friction 424(18)

Coefficients of Friction 425(2)

Angles of Friction 427(15)

Applications 442(34)

Wedges 443(2)

Threads 445(7)

Journal Bearings 452(2)

Thrust Bearings and Clutches 454(6)

Belt Friction 460(3)

Application to Engineering: Belts and Pulleys 463(5)

Computational Mechanics 468(3)

Chapter Summary 471(1)

Review Problems 472(4)

Internal Forces and Moments 476(52)

Beams 478(1)

Axial Force, Shear Force, and Bending Moment 478(6)

Shear Force and Bending Moment Diagrams 484(6)

Relations Between Distributed Load, Shear Force, and Bending Moment 490(7)

Cables 497(1)

Loads Distributed Uniformly Along Straight Lines 497(4)

Shape of the Cable 497(1)

Tension of the Cable 498(1)

Length of the Cable 498(3)

Loads Distributed Uniformly Along Cables 501(5)

Shape of the Cable 501(1)

Tension of the Cable 502(1)

Length of the Cable 502(4)

Discrete Loads 506(7)

Determining the Configuration and Tensions 506(1)

Comments on Continuous and Discrete Models 507(3)

Computational Mechanics 510(3)

Liquids and Gases 513(1)

Pressure and the Center of Pressure 513(2)

Pressure in a Stationary Liquid 515(13)

Chapter Summary 524(1)

Review Problems 525(3)

Virtual Work and Potential Energy 528(35)

Virtual Work 530(11)

Work 530(1)

Principle of Virtual Work 531(2)

Application to Structures 533(8)

Potential Energy 541(15)

Examples of Conservative Forces 541(2)

Principle of Virtual Work for Conservative Forces 543(1)

Stability of Equilibrium 543(7)

Computational Mechanics 550(2)

Chapter Summary 552(1)

Review Problems 553(3)
APPENDICES

A Review of Mathematics 556(3)

A.1 Algebra 556(1)

A.2 Trigonometry 556(1)

A.3 Derivatives 557(1)

A.4 Integrals 557(1)

A.5 Taylor Series 558(1)

A.6 Vector Analysis 558(1)

B Properties of Areas and Lines 559

B.1 Areas 559(1)

B.2 Lines 560

C Properties of Volumes and Homogeneous Objects 556(7)
Answers to Even-Numbered Problems 563(10)
Index 573