MECHANICS OF MATERIALS SIXTH EDITIONPDF|Epub|txt|kindle电子书版本网盘下载

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1 Introduction—Concept of Stress2

1.1 Introduction4

1.2 A Short Review of the Methods of Statics4

1.3 Stresses in the Members of a Structure7

1.4 Analysis and Design8

1.5 Axial Loading； Normal Stress9

1.6 Shearing Stress11

1.7 Bearing Stress in Connections13

1.8 Application to the Analysis and Design of Simple Structures13

1.9 Method of Problem Solution16

1.10 Numerical Accuracy17

1.11 Stress on an Oblique Plane under Axial Loading26

1.12 Stress under General Loading Conditions；Components of Stress27

1.13 Design Considerations30

Review and Summary for Chapter 142

2 Stress and Strain—Axial Loading52

2.1 Introduction54

2.2 Normal Strain under Axial Loading55

2.3 Stress-Strain Diagram57

2.4 True Stress and True Strain61

2.5 Hooke’s Law； Modulus of Elasticity62

2.6 Elastic versus Plastic Behavior of a Material64

2.7 Repeated Loadings； Fatigue66

2.8 Deformations of Members under Axial Loading67

2.9 Statically Indeterminate Problems78

2.10 Problems Involving Temperature Changes82

2.11 Poisson’s Ratio93

2.12 Multiaxial Loading； Generalized Hooke’s Law94

2.13 Dilatation； Bulk Modulus96

2.14 Shearing Strain98

2.15 Further Discussion of Deformations under Axial Loading； Relation among E，v，and G101

2.16 Stress-Strain Relationships for Fiber-Reinforced Composite Materials103

2.17 Stress and Strain Distribution under Axial Loading； Saint-Venant’s Principle113

2.18 Stress Concentrations115

2.19 Plastic Deformations117

2.20 Residual Stresses121

Review and Summary for Chapter 2129

3 Torsion140

3.1 Introduction142

3.2 Preliminary Discussion of the Stresses in a Shaft144

3.3 Deformations in a Circular Shaft145

3.4 Stresses in the Elastic Range148

3.5 Angle of Twist in the Elastic Range159

3.6 Statically Indeterminate Shafts163

3.7 Design of Transmission Shafts176

3.8 Stress Concentrations in Circular Shafts179

3.9 Plastic Deformations in Circular Shafts184

3.10 Circular Shafts Made of an Elastoplastic Material186

3.11 Residual Stresses in Circular Shafts189

3.12 Torsion of Noncircular Members197

3.13 Thin-Walled Hollow Shafts200

Review and Summary for Chapter 3210

4 Pure Bending220

4.1 Introduction222

4.2 Symmetric Member in Pure Bending224

4.3 Deformations in a Symmetric Member in Pure Bending226

4.4 Stresses and Deformations in the Elastic Range229

4.5 Deformations in a Transverse Cross Section233

4.6 Bending of Members Made of Several Materials242

4.7 Stress Concentrations246

4.8 Plastic Deformations255

4.9 Members Made of an Elastoplastic Material256

4.10 Plastic Deformations of Members with a Single Plane of Symmetry260

4.11 Residual Stresses261

4.12 Eccentric Axial Loading in a Plane of Symmetry270

4.13 Unsymmetric Bending279

4.14 General Case of Eccentric Axial Loading284

4.15 Bending of Curved Members294

Review and Summary for Chapter 4305

5 Analysis and Design of Beams for Bending314

5.1 Introduction316

5.2 Shear and Bending-Moment Diagrams319

5.3 Relations among Load，Shear，and Bending Moment329

5.4 Design of Prismatic Beams for Bending339

5.5 Using Singularity Functions to Determine Shear and Bending Moment in a Beam350

5.6 Nonprismatic Beams361

Review and Summary for Chapter 5370

6 Shearing Stresses in Beams and Thin-Walled Members380

6.1 Introduction382

6.2 Shear on the Horizontal Face of a Beam Element384

6.3 Determination of the Shearing Stresses in a Beam386

6.4 Shearing Stresses T xy in Common Types of Beams387

6.5 Further Discussion of the Distribution of Stresses in a Narrow Rectangular Beam390

6.6 Longitudinal Shear on a Beam Element of Arbitrary Shape399

6.7 Shearing Stresses in Thin-Walled Members401

6.8 Plastic Deformations404

6.9 Unsymmetric Loading of Thin-Walled Members；Shear Center414

Review and Summary for Chapter 6427

7 Transformations of Stress and Strain436

7.1 Introduction438

7.2 Transformation of Plane Stress440

7.3 Principal Stresses：Maximum Shearing Stress443

7.4 Mohr’s Circle for Plane Stress452

7.5 General State of Stress462

7.6 Application of Mohr’s Circle to the Three-Dimensional Analysis of Stress464

7.7 Yield Criteria for Ductile Materials under Plane Stress467

7.8 Fracture Criteria for Brittle Materials under Plane Stress469

7.9 Stresses in Thin-Walled Pressure Vessels478

7.10 Transformation of Plane Strain486

7.11 Mohr’s Circle for Plane Strain489

7.12 Three-Dimensional Analysis of Strain491

7.13 Measurements of Strain； Strain Rosette494

Review and Summary for Chapter 7502

8 Principal Stresses under a Given Loading512

8.1 Introduction514

8.2 Principal Stresses in a Beam515

8.3 Design of Transmission Shafts518

8.4 Stresses under Combined Loadings527

Review and Summary for Chapter 8540

9 Deflection of Beams548

9.1 Introduction550

9.2 Deformation of a Beam under Transverse Loading552

9.3 Equation of the Elastic Curve553

9.4 Direct Determination of the Elastic Curve from the Load Distribution559

9.5 Statically Indeterminate Beams561

9.6 Using Singularity Functions to Determine the Slope and Deflection of a Beam571

9.7 Method of Superposition580

9.8 Application of Superposition to Statically Indeterminate Beams582

9.9 Moment-Area Theorems592

9.10 Application to Cantilever Beams and Beams with Symmetric Loadings595

9.11 Bending-Moment Diagrams by Parts597

9.12 Application of Moment-Area Theorems to Beams with Unsymmetric Loadings605

9.13 Maximum Deflection607

9.14 Use of Moment-Area Theorems with Statically Indeterminate Beams609

Review and Summary for Chapter 9618

10 Columns630

10.1 Introduction632

10.2 Stability of Structures632

10.3 Euler’s Formula for Pin-Ended Columns635

10.4 Extension of Euler’s Formula to Columns with Other End Conditions638

10.5 Eccentric Loading； the Secant Formula649

10.6 Design of Columns under a Centric Load660

10.7 Design of Columns under an Eccentric Load675

Review and Summary for Chapter 10684

11 Energy Methods692

11.1 Introduction694

11.2 Strain Energy694

11.3 Strain-Energy Density696

11.4 Elastic Strain Energy for Normal Stresses698

11.5 Elastic Strain Energy for Shearing Stresses701

11.6 Strain Energy for a General State of Stress704

11.7 Impact Loading716

11.8 Design for Impact Loads718

11.9 Work and Energy under a Single Load719

11.10 Deflection under a Single Load by the Work-Energy Method722

11.11 Work and Energy under Several Loads732

11.12 Castigliano’s Theorem734

11.13 Deflections by Castigliano’s Theorem736

11.14 Statically Indeterminate Structures740

Review and Summary for Chapter 11750

Appendices759

A Moments of Areas760

B Typical Properties of Selected Materials Used in Engineering770

C Properties of Rolled-Steel Shapes774

D Beam Deflections and Slopes786

E Fundamentals of Engineering Examination787

Photo Credits789

Index791

Answers to Problems801