Mechanics of Materials

, by Beer, Ferdinand P.; Johnston, E. Russell; Dewolf, John T.

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ISBN: 9780073659350 | 0073659355
Cover: Hardcover
Copyright: 2/1/2001

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Preface

xiii

List of Symbols

xix

Introduction--Concept of Stress

(45)

Introduction

(1)

A Short Review of the Methods of Statics

(3)

Stresses in the Members of a Structure

(1)

Analysis and Design

(1)

Axial Loading; Normal Stress

(2)

Shearing Stress

(2)

Bearing Stress in Connections

(1)

Application to the Analysis and Design of Simple Structures

(2)

Method of Problem Solution

(1)

Numerical Accuracy

(8)

Stress on an Oblique Plane under Axial Loading

(1)

Stress under General Loading Conditions; Components of Stress

(3)

Design Considerations

(20)

Review and Summary for Chapter 1

(9)

Stress and Strain-Axial Loading

(85)

Introduction

(1)

Normal Strain under Axial Loading

(2)

Stress-Strain Diagram

(5)

True Stress and True Strain

(1)

Hooke's Law; Modulus of Elasticity

(1)

Elastic versus Plastic Behavior of a Material

(2)

Repeated Loadings; Fatigue

(2)

Deformations of Members under Axial Loading

(9)

Statically Indeterminate Problems

(4)

Problems Involving Temperature Changes

(10)

Poisson's Ratio

(1)

Multiaxial Loading; Generalized Hooke's Law

(2)

Dilatation; Bulk Modulus

(2)

Shearing Strain

(3)

Further Discussion of Deformations under Axial Loading; Relation among E, v, and G

(3)

Stress-Strain Relationships for Fiber-Reinforced Composite Materials

(9)

Stress and Strain Distribution under Axial Loading; Saint-Venant's Principle

104

(3)

Stress Concentrations

107

(2)

Plastic Deformations

109

(4)

Residual Stresses

113

(19)

Review and Summary for Chapter 2

121

(11)

Torsion

132

(77)

Introduction

132

(2)

Preliminary Discussion of the Stresses in a Shaft

134

(2)

Deformations in a Circular Shaft

136

(3)

Stresses in the Elastic Range

139

(11)

Angle of Twist in the Elastic Range

150

(3)

Statically Indeterminate Shafts

153

(12)

Design of Transmission Shafts

165

(2)

Stress Concentrations in Circular Shafts

167

(5)

Plastic Deformations in Circular Shafts

172

(2)

Circular Shafts Made of an Elastoplastic Material

174

(3)

Residual Stresses in Circular Shafts

177

(9)

Torsion of Noncircular Members

186

(3)

Thin-Walled Hollow Shafts

189

(20)

Review and Summary for Chapter 3

198

(11)

Pure Bending

209

(99)

Introduction

209

(2)

Symmetric Member in Pure Bending

211

(2)

Deformations in a Symmetric Member in Pure Bending

213

(3)

Stresses and Deformations in the Elastic Range

216

(4)

Deformations in a Transverse Cross Section

220

(10)

Bending of Members Made of Several Materials

230

(4)

Stress Concentrations

234

(9)

Plastic Deformations

243

(3)

Members Made of an Elastoplastic Material

246

(4)

Plastic Deformations of Members with a Single Plane of Symmetry

250

(1)

Residual Stresses

250

(10)

Eccentric Axial Loading in a Plane of Symmetry

260

(10)

Unsymmetric Bending

270

(6)

General Case of Eccentric Axial Loading

276

(9)

Bending of Curved Members

285

(23)

Review and Summary for Chapter 4

298

(10)

Analysis and Design of Beams for Bending

308

(64)

Introduction

308

(3)

Shear and Bending-Moment Diagrams

311

(11)

Relations among Load, Shear, and Bending Moment

322

(10)

Design of Prismatic Beams for Bending

332

(11)

Using Singularity Functions to Determine Shear and Bending Moment in a Beam

343

(11)

Nonprismatic Beams

354

(18)

Review and Summary for Chapter 5

363

(9)

Shearing Stresses in Beams and Thin-Walled Members

372

(51)

Introduction

372

(2)

Shear on the Horizontal Face of a Beam Element

374

(2)

Determination of the Shearing Stresses in a Beam

376

(1)

Shearing Stresses Txy in Common Types of Beams

377

(3)

Further Discussion of the Distribution of Stresses in a Narrow Rectangular Beam

380

(8)

Longitudinal Shear on a Beam Element of Arbitrary Shape

388

(2)

Shearing Stresses in Thin-Walled Members

390

(2)

Plastic Deformations

392

(10)

Unsymmetric Loading of Thin-Walled Members; Shear Center

402

(21)

Review and Summary for Chapter 6

414

(9)

Transformations of Stress and Strain

423

(73)

Introduction

423

(2)

Transformation of Plane Stress

425

(3)

Principal Stresses: Maximum Shearing Stress

428

(8)

Mohr's Circle for Plane Stress

436

(10)

General State of Stress

446

(2)

Application of Mohr's Circle to the Three-Dimensional Analysis of Stress

448

(3)

Yield Criteria for Ductile Materials under Plane Stress

451

(2)

Fracture Criteria for Brittle Materials under Plane Stress

453

(9)

Stresses in Thin-Walled Pressure Vessels

462

(8)

Transformation of Plane Stress

470

(3)

Mohr's Circle for Plane Strain

473

(2)

Three-Dimensional Analysis of Strain

475

(3)

Measurements of Strain; Strain Rosette

478

(18)

Review and Summary for Chapter 7

486

(10)

Principal Stresses Under a Given Loading

496

(34)

Introduction

496

(1)

Principal Stresses in a Beam

497

(3)

Design of Transmission Shafts

500

(8)

Stresses under Combined Loadings

508

(22)

Review and Summary for Chapter 8

521

(9)

Deflection of Beams

530

(77)

Introduction

530

(2)

Deformation of a Beam under Transverse Loading

532

(1)

Equation of the Elastic Curve

533

(5)

Direct Determination of the Elastic Curve from the Load Distribution

538

(2)

Statically Indeterminate Beams

540

(9)

Using Singularity Functions to Determine the Slope and Deflection of a Beam

549

(9)

Method of Superposition

558

(2)

Application of Superposition to Statically Indeterminate Beams

560

(9)

Moment-Area Theorems

569

(2)

Application to Cantilever Beams and Beams with Symmetric Loading

571

(2)

Bending-Moment Diagrams by Parts

573

(9)

Application of Moment-Area Theorems to Beams with Unsymmetric Loadings

582

(2)

Maximum Deflection

584

(2)

Use of Moment-Area Theorems with Statically Indeterminate Beams

586

(21)

Review and Summary for Chapter 9

594

(13)

Columns

607

(63)

Introduction

607

(1)

Stability of Structures

608

(2)

Euler's Formula for Pin-Ended Columns

610

(4)

Extension of Euler's Formula to Columns with Other End Conditions

614

(11)

Eccentric Loading; the Secant Formula

625

(11)

Design of Columns under a Centric Load

636

(16)

Design of Columns under an Eccentric Load

652

(18)

Review and Summary for Chapter 10

662

(8)

Energy Methods

670

(65)

Introduction

670

(1)

Strain Energy

670

(2)

Strain-Energy Density

672

(2)

Elastic Strain Energy for Normal Stresses

674

(3)

Elastic Strain Energy for Shearing Stresses

677

(3)

Strain Energy for a General State of Stress

680

(13)

Impact Loading

693

(2)

Design for Impact Loads

695

(1)

Work and Energy under a Single Load

696

(2)

Deflection under a Single Load by the Work-Energy Method

698

(11)

Work and Energy under Several Loads

709

(2)

Castigliano's Theorem

711

(1)

Deflections by Castigliano's Theorem

712

(4)

Statically Indeterminate Structures

716

(19)

Review and Summary for Chapter 11

726

(9)

APPENDICES

735

(30)

A Moments of Areas

736

(10)

B Typical Properties of Selected Materials Used in Engineering

746

(4)

C Properties of Rolled-Steel Shapes

750

(12)

D Beam Deflections and Slopes

762

(1)

E Fundamentals of Engineering Examination

763

(2)

Photo Credits

765

(1)

Index

766

(9)

Answers to Problems

775

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Mechanics of Materials

Table of Contents

Supplemental Materials