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Introduction to Solid Mechanics

by: Shames, Irving H.; Pitarresi, James M.

Introduction to Solid Mechanics

by: Shames, Irving H.; Pitarresi, James M.

ISBN 13:
9780132677585
ISBN 10:
013267758X
Edition: 3rd
Format: Paperback
Copyright: 10/21/1999
Publisher: Pearson

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Summary

Rather than a rote "cookbook" approach to problem-solving, this book offers a rigorous treatment of the principles behind the practices, asking students to harness their sound foundation of theory when solving problems.A wealth of examples illustrate the meaning of the theory without simply offering recipes or maps for solving similar problems.

Preface

About the Authors

Fundamental Notions

(8)

Introduction

(1)

Fundamental Concepts

(2)

Vectors and Tensors

(1)

Force Distributions

(1)

A Note on Force and Mass

(1)

Closure

(1)

A Look Back

(2)

Stress

(38)

Introduction

(1)

Stress

(12)

Stress Notation

(2)

Complementary Property of Shear

(3)

A Comment on the Complementary Property of Shear

(1)

Equations of Equilibrium in Differential Form

(2)

Closure

(1)

A Look Ahead: Hydrostatics

(17)

Highlights (2)

(16)

Strain

(34)

Introduction

(1)

The Displacement Field

(1)

Strain Components

(13)

Strains in Terms of the Displacement Field

(6)

Compatibility Considerations

(2)

Closure

(1)

A Look Ahead: Fluid Mechanics I

(11)

Highlights (3)

(10)

Introduction to Mechanical Properties of Solids

(30)

Introduction

(1)

The Tensile Test

(6)

Strain Hardening and Other Properties

(2)

Idealized One-Dimensional, Time-Independent, Stress-Strain Laws

(2)

A Look Ahead; Viscoelasticity and Creep

(2)

Fatigue

(4)

Stress Concentration

(2)

One-Dimensional Thermal Stress

100

(2)

Closure

102

(1)

A Look Back

103

(1)

A Look Ahead; Composite Materials

103

(8)

Highlights (4)

105

(6)

One-Dimensional Problems

111

(56)

Introduction

111

(1)

Basic Considerations

111

(2)

Statically Determinate Problems

113

(8)

Statically Indeterminate Problems

121

(8)

Residual Stress Problem

129

(5)

Design Problem

134

(4)

Thermoelastic Problems

138

(4)

Closure

142

(1)

A Look Ahead; Basic Laws of Continua

143

(24)

Highlights (5)

144

(23)

Generalized Hooke's Law and Introduction to Energy Methods

167

(46)

Introduction

167

(1)

Part A: Simple Constitutive Relations

Three-Dimensional Hooke's Law for Isotropic Materials

168

(3)

Relation Between the Three Material Constants

171

(3)

Nonisothermal Hooke's Law

174

(2)

Nonisotropic, Linear, Elastic Behavior: Generalized Hooke's Law

176

(3)

A Look Ahead; Fluid Mechanics II

179

(1)

Part B: Introduction to Energy Methods

Strain Energy

179

(6)

Castigliano's Second Theorem (Energy Methods I)

185

(10)

Basic Equations of Elasticity

195

(3)

Closure

198

(1)

A Look Ahead; Variational Methods

199

(14)

Highlights (6)

201

(12)

Plane Stress

213

(26)

Introduction

213

(1)

Stress Variations at a Point for Plane Stress

214

(3)

A Pause and a Comment

217

(2)

Principal Stresses and Principal Axes

219

(4)

Mohr's Circle

223

(7)

Closure

230

(9)

Highlights (7)

231

(8)

Plane Strain

239

(22)

Introduction

239

(1)

A Look Back; Taylor Series and Directional Derivatives

240

(1)

Transformation Equations for Plane Strain

241

(3)

Properties of Plane Strain

244

(5)

A Pertinent Comment

249

(1)

Strain Gages

250

(3)

Closure

253

(8)

Highlights (8)

254

(7)

Failure Criteria

261

(22)

Introduction

261

(2)

Yield Criteria for Isotropic Ductile Materials

263

(9)

Yield Surfaces

272

(4)

Maximum Normal Stress Theory for Brittle Fracture

276

(1)

Comparison of the Theories

276

(1)

Closure

277

(2)

Highlights (9)

278

(1)

A Look Back; Equivalent Force Systems

279

(4)

Section Forces in Beams

283

(48)

Introduction

283

(1)

Shear Force, Axial Force, and Bending Moment

283

(11)

Direct Formulations of Shear and Bending-Moment Equations

294

(5)

Differential Relations for Bending Moment, Shear Force, and Load

299

(3)

Sketching Shear-Force and Bending-Moment Diagrams

302

(5)

Problems Requiring Equations and Diagrams

307

(4)

Additional Considerations

311

(3)

Closure

314

(1)

A Look Back

315

(16)

Highlights (10)

317

(14)

Stresses in Beams

331

(104)

Introduction

331

(1)

Part A: Basic Considerations

Pure Bending of Symmetric Beams

332

(10)

Bending of Symmetric Beams with Shear: Normal Stress

342

(4)

Bending of Symmetric Beams with Shear: Shear Stress

346

(9)

Determination of the Sign of the Shear Stress

355

(5)

Consideration of General Cuts

360

(11)

Part B: Special Topics

Composite Beams

371

(8)

Case of Unsymmetric Beams

379

(7)

Shear Stress in Beams of Narrow Open Cross Section

386

(6)

A Note on the Shear Center for Thin-Walled Open Members

392

(3)

Inelastic Behavior of Beams: The Elastic, Perfectly Plastic Case

395

(3)

A Note on the Failure of a Structure: Limit Design

398

(3)

Inelastic Behavior of Beams: Generalized Stress-Strain Relation

401

(2)

Stress Concentrations for Bending

403

(1)

Bending of Curved Beams

404

(7)

Closure

411

(24)

Highlights for Part A (11)

412

(23)

Deflection of Beams

435

(56)

Introduction

435

(1)

Differential Equations for Deflection of Symmetric Beams

435

(10)

Additional Problems

445

(5)

Statically Indeterminate Beams

450

(6)

Superposition Methods

456

(6)

Shear Deflection of Beams

462

(2)

Energy Methods for Beams

464

(9)

Closure

473

(18)

A Look Ahead: A Closer Look at Beam Deflection and Highlights (12)

474

(17)

Singularity Functions

491

(22)

Introduction

491

(1)

Delta Functions and Step Functions

491

(4)

Deflection Computations Using Singularity Functions

495

(7)

The Doublet Function

502

(7)

Closure

509

(4)

Torsion

513

(54)

Introduction

513

(1)

Circular Shafts

513

(7)

Torsion Problems Involving Circular Shafts

520

(8)

Stress Concentrations

528

(2)

Torsion of Thin-Walled Noncircular Closed Shafts

530

(5)

Elastic, Perfectly Plastic Torsion

535

(5)

Noncircular Cross Sections

540

(6)

Strain Energy Computations for Twisting

546

(6)

Closure

552

(15)

Highlights (14)

553

(14)

Three-Dimensional stress Properties at a Point

567

(32)

Introduction

567

(1)

Three-Dimensional Transformation Formulations for Stress

567

(16)

Principal Stresses for a General State of Stress

583

(6)

Tensor Invariants

589

(1)

A Look Ahead: Tensor Notation

590

(3)

Closure

593

(6)

Highlights (15)

594

(5)

Three-Dimensional strain Relations at a Point

599

(14)

Introduction

599

(1)

Transformation Equations for Strain

599

(7)

Properties of Strain

606

(3)

Closure

609

(4)

Highlights (16)

609

(4)

Introduction to Elastic Stability

613

(44)

Introduction

613

(1)

Definition of Critical Load

613

(2)

A Note on Types of Elastic Instabilities

615

(2)

Beam-Column Equations

617

(2)

The Column: Buckling Loads

619

(9)

Looking Back as Well as Ahead

628

(1)

Solution of Beam-Column Problems

628

(3)

Initially Bent Member

631

(3)

Eccentrically Loaded Columns

634

(3)

General Considerations

637

(1)

Inelastic Column Theory

638

(3)

A Note on Column Formulas

641

(1)

Closure

642

(1)

A Look Ahead: Finite Elements

643

(14)

Highlights (17)

645

(12)

Energy Methods

657

(40)

Introduction

657

(1)

Part A: Displacement Methods

Principal of Virtual Work

658

(9)

Method of Total Potential Energy

667

(5)

A Comment on the Total Potential Energy Method

672

(1)

The First Castigliano Theorem

672

(6)

Part B: Force Methods

Principal of Complementary Virtual Work

678

(4)

Complementary Potential Energy Principal

682

(2)

Use of the Total Complementary Energy Principal

684

(3)

The Second Castigliano Theorem

687

(1)

Closure

688

(9)

Introduction to Finite Elements

697

(68)

A Comment

697

(1)

Part A: Finite Elements for Trusses

Introduction

698

(1)

The Stiffness Matrix for an Element: Definition

699

(1)

Finite Elements and Trusses

700

(4)

Stiffness Matrix for an Element

704

(2)

The Global Stiffness Matrix

706

(4)

Solution of a Truss Problem

710

(5)

Part B: Some Preliminary General Considerations

Basic Considerations for Finite Elements

715

(3)

General Theory for the Displacement Method

718

(4)

Closure

722

(1)

APPENDICES

I. Deformation of Isotropic Materials

723

(4)

II. Proof Using Tensor Notation that Strain Is a Second-Order Tensor

727

(2)

III. A Note on the Maxwell-Betti Theorem

729

(3)

IV. Tables

Wide-flange Beams

732

(3)

Standard Channels

735

(1)

Standard Angles

736

(1)

Standard Pipes

737

(1)

Property of Areas

738

(1)

Mechanical Properties of Materials

739

(4)

V. Answers to Problems

743

(22)

Index

765

Amazon no longer offers textbook rentals. We do!

Introduction to Solid Mechanics

Introduction to Solid Mechanics

9780132677585

013267758X

Summary

Table of Contents

Supplemental Materials

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