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1．Tension,Compression,and Shear 1

1.1 Introduction to Mechanics of Materials 1

1.2 Normal Stress and Strain 2

1.3 Mechanical Properties of Materials 8

1.4 Elasticity,Plasticity,and Creep 17

1.5 Linear Elasticity,Hooke's Law,and Poisson's Ratio 19

1.6 Shear Stress and Strain 23

1.7 Allowable Stresses and Allowable Loads 32

1.8 Design for Axial Loads and Direct Shear 36

Problems 40

2．Axially Loaded Members 62

2.1 Introduction 62

2.2 Changes in Lengths of Axially Loaded Members 62

2.3 Changes in Lengths under Nonuniform Conditions 69

2.4 Statically Indeterminate Structures 75

2.5 Thermal Effects,Misfits,and Prestrains 82

2.6 Stresses on Inclined Sections 91

2.7 Strain Energy 101

2.8 Impact Loading 111

2.9 Repeated Loading and Fatigue 118

2.10 Stress Concentrations 120

2.11 Nonlinear Behavior 125

2.12 Elastoplastic Analysis 129

Problems 134

3．Torsion 164

3.1 Introduction 164

3.2 Torsional Deformations of a Circular Bar 165

3.3 Circular Bars of Linearly Elastic Materials 168

3.4 Nonuniform Torsion 178

3.5 Stresses and Strains in Pure Shear 184

3.6 Relationship Between Moduli of Elasticity E and G 190

3.7 Transmission of Power by Circular Shafts 191

3.8 Statically Indeterminate Torsional Members 195

3.9 Strain Energy in Torsion and Pure Shear 199

3.10 Thin-Walled Tubes 202

3.11 Stress Concentrations in Torsion 212

Problems 214

4．Shear Forces and Bending Moments 234

4.1 Introduction 234

4.2 Types of Beams,Loads,and Reactions 234

4.3 Shear Forces and Bending Moments 241

4.4 Relationships Between Loads,Shear Forces,and Bending Moments 246

4.5 Shear-Force and Bending-Moment Diagrams 250

Problems 259

5．Stresses in Beams(Basic Topics) 270

5.1 Introduction 270

5.2 Pure Bending and Nonuniform Bending 271

5.3 Curvature of a Beam 272

5.4 Longitudinal Strains in Beams 273

5.5 Normal Stresses in Beams(Linearly Elastic Materials) 277

5.6 Design of Beams for Bending Stresses 287

5.7 Nonprismatic Beams 295

5.8 Shear Stresses in Beams of Rectangular Cross Section 298

5.9 Shear Stresses in Beams of Circular Cross Section 307

5.10 Shear Stresses in the Webs of Beams with Flanges 309

5.11 Built-Up Beams and Shear Flow 314

5.12 Beams with Axial Loads 318

5.13 Stress Concentrations in Bending 323

Problems 325

6．Stresses in Beams (Advanced Topics) 348

6.1 Introduction 348

6.2 Composite Beams 348

6.3 Transformed-Section Method 357

6.4 Doubly Symmetric Beams with Inclined Loads 361

6.5 Bending of Unsymmetric Beams 368

6.6 The Shear-Center Concept 376

6.7 Shear Stresses in Beams of Thin-Walled Open Cross Sections 378

6.8 Shear Stresses in Wide-Flange Beams 381

6.9 Shear Centers of Thin-Walled Open Sections 384

6.10 Elastoplastic Bending 391

Problems 399

7．Analysis of Stress and Strain 418

7.1 Introduction 418

7.2 Plane Stress 419

7.3 Principal Stresses and Maximum Shear Stresses 426

7.4 Mohr's Circle for Plane Stress 434

7.5 Hooke's Law for Plane Stress 447

7.6 Triaxial Stress 451

7.7 Plane Strain 455

Problems 467

8．Applications of Plane Stress(Pressure Vessels,Beams,and Combined Loadings) 482

8.1 Introduction 482

8.2 Spherical Pressure Vessels 482

8.3 Cylindrical Pressure Vessels 487

8.4 Maximum Stresses in Beams 494

8.5 Combined Loadings 502

Problems 515

9．Deflections of Beams 528

9.1 Introduction 528

9.2 Differential Equations of the Deflection Curve 528

9.3 Defections by Integration of the Bending-Moment Equation 533

9.4 Deflections by Integration of the Shear-Force and Load Equations 542

9.5 Method of Superposition 547

9.6 Moment-Area Method 554

9.7 Nonprismatic Beams 561

9.8 Strain Energy of Bending 565

9.9 Castigliano's Theorem 569

9.10 Deflections Produced by Impact 580

9.11 Temperature Effects 582

Problems 584

10．Statically Indeterminate Beams 602

10.1 Introduction 602

10.2 Types of Statically Indeterminate Beams 602

10.3 Analysis by the Differential Equations of the Deflection Curve 605

10.4 Method of Superposition 610

10.5 Temperature Effects 620

10.6 Longitudinal Displacements at the Ends of a Beam 623

Problems 626

11．Columns 635

11.1 Introduction 635

11.2 Buckling and Stability 635

11.3 Columns with Pinned Ends 638

11.4 Columns with Other Support Conditions 648

11.5 Columns with Eccentric Axial Loads 657

11.6 The Secant Formula for Columns 661

11.7 Elastic and Inelastic Column Behavior 666

11.8 Inelastic Buckling 668

Problems 672

12．Review of Centroids and Moments of Inertia 685

12.1 Introduction 685

12.2 Centroids of Plane Areas 685

12.3 Centroids of Composite Areas 688

12.4 Moments of Inertia of Plane Areas 691

12.5 Parallel-Axis Theorem for Moments of Inertia 693

12.6 Polar Moments of Inertia 697

12.7 Products of Inertia 698

12.8 Rotation of Axes 701

12.9 Principal Axes and Principal Moments of Inertia 702

Problems 706

References and Historical Notes 712

Appendix A:Systems of Units and Conversion Factors 721

Appendix B:Problem Solving 729

Appendix C:Mathematical Formulas 734

Appendix D:Properties of Plane Areas 738

Appendix E:Properties of Structural-Steel Shapes 744

Appendix F:Properties of Solid Timber 750

Appendix G:Deflections and Slopes of Beams 751

Appendix H:Properties of Materials 757

Answers to Problems 762

Index 779