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Mechanics of Materials (6th edition of the original translation)

Author: [US] Ferdinand P. Beer, E Russell Johnston Jr. waiting; Taoqiu Fan, Fan Qin Shan translation Published: 2015

Series items: Era Education · Selected content of excellent textbooks for foreign universities Introduction The features of this book are: pay attention to the expression of basic concepts and basic principles, and the application of simple models. On this basis, the mechanical design formulas required for engineering are derived. At the same time, special attention is paid to engineering applications. First, in the introduction at the beginning of each chapter, the relevant engineering background and engineering examples are introduced. Second, for each concept, principle, and formula, the conditions under which it can be safely applied are pointed out. In the analysis and design of engineering structures and machine parts; in addition, special attention is paid to design. From the first chapter, the analysis and design of components under axial load have been introduced. The contents of this book include: the concept of stress, stress and strain under axial load, torsion, pure bending, analysis and design of beams under bending, shear stress in beams and thin-walled members, stress transformation and strain transformation, given Principal stress under load, deflection of beam, stability of compression bar, energy method. This book can be used as a bilingual teaching material for materials mechanics in related engineering colleges, and it can also be used as a reference for related professional scientific and technical personnel.

Translator's Preface About the Author's Preface Symbol Table Chapter 1 Introduction-Concept of Stress XX

1.1 Introduction 2

1.2 Brief Review of Static Methods 2

1.3 Stresses in components 4

1.4 Analysis and Strength Design 5

1.5 Axial load normal stress 6

1.6 Shear stress 8

1.7 Compression stress in connectors 10

1.8 Application in simple structural analysis and strength design 10

1.9 Methods to Solve Problems 13

1.10 Solution Accuracy 14

Exercise 16

1.11 Stress on oblique sections of members when subjected to axial load 21

1.12 Stress and stress components under general load 23

1.13 Strength Design Issues 26

Exercise 31

Review and Summary 36

Review Questions 38

Computer Exercises 40

Chapter 2 Stress and Strain Under Axial Loads 44

2.1 Introduction 46

2.2 Linear strain under axial load 47

2.3 Stress-strain relationship curve 48

* 2.4 True stress and true strain 52

2.5 Hook's Law Elastic Modulus 53

2.6 Elastic and Plastic Mechanical Behavior of Materials 55

2.7 Alternating Load Fatigue 57

2.8 Deformation of members under axial load 58

Exercise 62

2.9 Statically Indefinite Problems 67

2.10 Effects of Temperature Changes 71

Exercise 77

2.11 Poisson's ratio 81

2.12 Generalized Hooke's Law for Multidirectional Loading

* 2.13 Volume strain volume elastic modulus 85

2.14 Shear Strain

2.15 Further discussion of the relationship between deformations E, ν, and G under axial load

* 2.16 Stress-strain relationship of fiber reinforced composites 92

Problem 96

2.17 Distribution of Stress and Strain under Axial Load

2.18 Stress Concentration

2.19 Plastic Deformation 105

* 2.20 residual stress 109

Problem 112

Review and Summary 116

Review Questions 121

Computer Exercises 124

Chapter 3 Twist 126

3.1 Introduction 128

3.2 Preliminary discussion on torsional shear stress of a circular shaft 129

3.3 Circular shaft torsional deformation

3.4 Stress in the elastic range 133

Exercises 139

3.5 Torsion angle in the elastic range 144

3.6 Reversing the Statically Indefinite Problem

Problem 152

3.7 Strength Design of Transmission Shaft 158

3.8 Stress Concentration During Circular Shaft Torsion

Exercises 162

* 3.9 Plastic deformation during torsion of a circular shaft 165

* 3.10 Torsion of circular shaft of ideal elastoplastic material 167

* 3.11 Residual stress when a circular shaft is twisted 170

Problem 174

* 3.12 Torsion of non-circular section bar 178

* 3.13 Torsion of closed thin-walled member 180

Exercises 184

Review and Summary 189

Review Questions 194

Computer Exercises 196

Chapter 4 Pure Bending 198

4.1 Introduction 200

4.2 Pure Bending of Symmetrical Section Beams 202

4.3 Deformation of Symmetrical Section Beams in Pure Bending

4.4 Stress and Deformation Analysis in the Elastic Range 206

4.5 Deformation of the cross section 210

Problem 213

4.6 Bending of composite beams of different materials 217

4.7 Stress Concentration

Problem 225

* 4.8 Plastic deformation 229

* 4.9 Ideal elastoplastic material beam 231

* 4.10 Plastic deformation of a beam with one plane of symmetry 235

* 4.11 Residual stress 235

Problem 240

Material Mechanics

Exercises 247

4.13 Asymmetric Bending

4.14 General situation of eccentric axial load 257

Exercises 261

* 4.15 Bending of curved beams 266

Problem 272

Review and Summary 276

Review Questions 279

Computer Exercises 282

Chapter 5 Analysis and Design of Beams When Bending

5.1 Introduction

5.2 Shear and Bending Moment Diagrams

Exercises 293

5.3 Differential relationships between loads, shear forces and bending moments

Problem 303

5.4 Bending Strength Design of Straight Beams of Equal Section 306

Problem 310

* 5.5 Determining Shear Force and Moment of Beam by Singular Function Method

Problem 323

* 5.6 Variable cross-section straight beam 327

Problem 331

Review and Summary

Review Questions 338

Computer Exercises 340

Chapter 6 Shear Stresses in Beams and Thin-Walled Members

6.1 Introduction

6.2 Shear forces in longitudinal sections of beam microsections 345

6.3 Determining the Shear Stress of a Beam 348

6.4 Shear stresses for rectangular and I-shaped beams 349

* 6.5 Further discussion of stress distribution in narrow rectangular beams 351

Exercises 355

6.6 Shear force in longitudinal section of beams of arbitrary shape 360

6.7 Bending Shear Stress of Thin-Walled Members

* 6.8 Plastic deformation 364

Exercises 368

* 6.9 Asymmetric bending center of thin wall member 373

Exercise 382

Review and Summary 385

Review Questions 387

Computer Exercises 389

Chapter 7 Stress Transformation and Strain Transformation

7.1 Introduction

7.2 Plane Stress Transformation

7.3 Principal Stress Maximum Shear Stress 398

Exercises 402

7.4 Mohr's circle 405 for plane stress

Exercise 412

7.5 General stress state 415

7.6 Moire circle applied to 3D stress analysis 417

* 7.7 Yield criterion for ductile materials under plane stress 420

* 7.8 Fracture criteria for brittle materials under plane stress 422

Exercise 427

7.9 Stress in thin-walled pressure vessels 431

Exercises 436

* 7.10 Plane Strain Transformation 438

* 7.11 Mohr's circle with plane strain 441

* 7.12 Three-dimensional strain analysis 444

* 7.13 Strain measurement strain 447

Problem 451

Review and Summary 455

Review Questions 459

Computer Exercises 462

Chapter 8 Principal Stresses Under a Given Load 464

* 8.1 Introduction 466

* 8.2 In-beam principal stress 466

* 8.3 Design of transmission shaft 469

Problem 475

* 8.4 Stress under combined load 478

Exercises 486

Review and Summary 491

Review Questions 493

Computer Exercises 495

Chapter 9 Beam Deflection 498

ⅩⅨⅩⅧ9.1 Introduction 500

9.2 Deformation of beams under transverse loads 501

9.3 Elastic Curve Equation 503

9.4 Direct determination of elastic curve based on load distribution 509

9.5 Statically Indeterminate Beam 512

Problem 517

* 9.6 Singular function method to determine the angle and deflection of the beam 522

Exercise 529

9.7 Superposition Method 532

9.8 Superposition Method Applied to Statically Indeterminate Beams 534

Exercise 539

* 9.9 Area Moment Theorem 543

* 9.10 area moment theorem applied to cantilever beams and beams subjected to symmetrical loads 546

* 9.11 Section drawing moment 548

Problem 554

* 9.12 Area moment theorem applied to beams subjected to asymmetric loads 558

* 9.13 Maximum deflection 560

* 9.14 Area moment theorem applied to statically indeterminate beams 563

Exercises 568

Review and Summary 572

Review Questions 578

Computer Exercises 580

Chapter 10 Stabilizer 582

10.1 Introduction

10.2 Structural Stability

10.3 Euler's Formula 587

10.4 Euler's formula applied to other constraints 590

Problem 594

* 10.5 Eccentric load secant formula 600

Exercise 605

10.6 Design of Compression Rods under Central Load 609

Exercises 617

10.7 Design of Compression Rods under Eccentric Loads

Problem 626

Review and Summary 629

Review Questions 631

Computer Exercises 633

Chapter 11 Energy Methods 636

11.1 Introduction

11.2 Strain Energy

11.3 Strain energy density 640

11.4 Elastic Strain Energy at Normal Stress

11.5 Elastic Strain Energy of Shear Stress 644

11.6 Strain Energy in the General Stress State

Problem 651

11.7 Impact load 658

11.8 Impact Load Design 661

11.9 Work and energy with a single load 662

11.10 Applying Functional Methods to Determine Deflection Under a Single Load 664

Exercises 669

* 11.11 Work and energy when several loads are applied at the same time 674

* 11.12 Carr's Theorem 677

* 11.13 Determining the Deflection by Using Karl's Theorem 678

* 11.14 Karst theorem applied to static indefinite structures 681

Exercise 689

Review and Summary 693

Review Questions 697

Computer Exercises 699

Addendum 702

Appendix A Area Moment 703

Appendix B Mechanical Properties of Engineering Common Materials (SI Units) 712

Appendix C Section Steel Table (SI System) 715

Appendix D Beam Deflection and Angle 721

Appendix E Engineering Fundamentals Exam 723

Author: [US] Ferdinand P. Beer, E Russell Johnston Jr. waiting; Taoqiu Fan, Fan Qin Shan translation Published: 2015

Series items: Era Education · Selected content of excellent textbooks for foreign universities Introduction The features of this book are: pay attention to the expression of basic concepts and basic principles, and the application of simple models. On this basis, the mechanical design formulas required for engineering are derived. At the same time, special attention is paid to engineering applications. First, in the introduction at the beginning of each chapter, the relevant engineering background and engineering examples are introduced. Second, for each concept, principle, and formula, the conditions under which it can be safely applied are pointed out. In the analysis and design of engineering structures and machine parts; in addition, special attention is paid to design. From the first chapter, the analysis and design of components under axial load have been introduced. The contents of this book include: the concept of stress, stress and strain under axial load, torsion, pure bending, analysis and design of beams under bending, shear stress in beams and thin-walled members, stress transformation and strain transformation, given Principal stress under load, deflection of beam, stability of compression bar, energy method. This book can be used as a bilingual teaching material for materials mechanics in related engineering colleges, and it can also be used as a reference for related professional scientific and technical personnel.

Translator's Preface About the Author's Preface Symbol Table Chapter 1 Introduction-Concept of Stress XX

1.1 Introduction 2

1.2 Brief Review of Static Methods 2

1.3 Stresses in components 4

1.4 Analysis and Strength Design 5

1.5 Axial load normal stress 6

1.6 Shear stress 8

1.7 Compression stress in connectors 10

1.8 Application in simple structural analysis and strength design 10

1.9 Methods to Solve Problems 13

1.10 Solution Accuracy 14

Exercise 16

1.11 Stress on oblique sections of members when subjected to axial load 21

1.12 Stress and stress components under general load 23

1.13 Strength Design Issues 26

Exercise 31

Review and Summary 36

Review Questions 38

Computer Exercises 40

Chapter 2 Stress and Strain Under Axial Loads 44

2.1 Introduction 46

2.2 Linear strain under axial load 47

2.3 Stress-strain relationship curve 48

* 2.4 True stress and true strain 52

2.5 Hook's Law Elastic Modulus 53

2.6 Elastic and Plastic Mechanical Behavior of Materials 55

2.7 Alternating Load Fatigue 57

2.8 Deformation of members under axial load 58

Exercise 62

2.9 Statically Indefinite Problems 67

2.10 Effects of Temperature Changes 71

Exercise 77

2.11 Poisson's ratio 81

2.12 Generalized Hooke's Law for Multidirectional Loading

* 2.13 Volume strain volume elastic modulus 85

2.14 Shear Strain

2.15 Further discussion of the relationship between deformations E, ν, and G under axial load

* 2.16 Stress-strain relationship of fiber reinforced composites 92

Problem 96

2.17 Distribution of Stress and Strain under Axial Load

2.18 Stress Concentration

2.19 Plastic Deformation 105

* 2.20 residual stress 109

Problem 112

Review and Summary 116

Review Questions 121

Computer Exercises 124

Chapter 3 Twist 126

3.1 Introduction 128

3.2 Preliminary discussion on torsional shear stress of a circular shaft 129

3.3 Circular shaft torsional deformation

3.4 Stress in the elastic range 133

Exercises 139

3.5 Torsion angle in the elastic range 144

3.6 Reversing the Statically Indefinite Problem

Problem 152

3.7 Strength Design of Transmission Shaft 158

3.8 Stress Concentration During Circular Shaft Torsion

Exercises 162

* 3.9 Plastic deformation during torsion of a circular shaft 165

* 3.10 Torsion of circular shaft of ideal elastoplastic material 167

* 3.11 Residual stress when a circular shaft is twisted 170

Problem 174

* 3.12 Torsion of non-circular section bar 178

* 3.13 Torsion of closed thin-walled member 180

Exercises 184

Review and Summary 189

Review Questions 194

Computer Exercises 196

Chapter 4 Pure Bending 198

4.1 Introduction 200

4.2 Pure Bending of Symmetrical Section Beams 202

4.3 Deformation of Symmetrical Section Beams in Pure Bending

4.4 Stress and Deformation Analysis in the Elastic Range 206

4.5 Deformation of the cross section 210

Problem 213

4.6 Bending of composite beams of different materials 217

4.7 Stress Concentration

Problem 225

* 4.8 Plastic deformation 229

* 4.9 Ideal elastoplastic material beam 231

* 4.10 Plastic deformation of a beam with one plane of symmetry 235

* 4.11 Residual stress 235

Problem 240

Material Mechanics

Exercises 247

4.13 Asymmetric Bending

4.14 General situation of eccentric axial load 257

Exercises 261

* 4.15 Bending of curved beams 266

Problem 272

Review and Summary 276

Review Questions 279

Computer Exercises 282

Chapter 5 Analysis and Design of Beams When Bending

5.1 Introduction

5.2 Shear and Bending Moment Diagrams

Exercises 293

5.3 Differential relationships between loads, shear forces and bending moments

Problem 303

5.4 Bending Strength Design of Straight Beams of Equal Section 306

Problem 310

* 5.5 Determining Shear Force and Moment of Beam by Singular Function Method

Problem 323

* 5.6 Variable cross-section straight beam 327

Problem 331

Review and Summary

Review Questions 338

Computer Exercises 340

Chapter 6 Shear Stresses in Beams and Thin-Walled Members

6.1 Introduction

6.2 Shear forces in longitudinal sections of beam microsections 345

6.3 Determining the Shear Stress of a Beam 348

6.4 Shear stresses for rectangular and I-shaped beams 349

* 6.5 Further discussion of stress distribution in narrow rectangular beams 351

Exercises 355

6.6 Shear force in longitudinal section of beams of arbitrary shape 360

6.7 Bending Shear Stress of Thin-Walled Members

* 6.8 Plastic deformation 364

Exercises 368

* 6.9 Asymmetric bending center of thin wall member 373

Exercise 382

Review and Summary 385

Review Questions 387

Computer Exercises 389

Chapter 7 Stress Transformation and Strain Transformation

7.1 Introduction

7.2 Plane Stress Transformation

7.3 Principal Stress Maximum Shear Stress 398

Exercises 402

7.4 Mohr's circle 405 for plane stress

Exercise 412

7.5 General stress state 415

7.6 Moire circle applied to 3D stress analysis 417

* 7.7 Yield criterion for ductile materials under plane stress 420

* 7.8 Fracture criteria for brittle materials under plane stress 422

Exercise 427

7.9 Stress in thin-walled pressure vessels 431

Exercises 436

* 7.10 Plane Strain Transformation 438

* 7.11 Mohr's circle with plane strain 441

* 7.12 Three-dimensional strain analysis 444

* 7.13 Strain measurement strain 447

Problem 451

Review and Summary 455

Review Questions 459

Computer Exercises 462

Chapter 8 Principal Stresses Under a Given Load 464

* 8.1 Introduction 466

* 8.2 In-beam principal stress 466

* 8.3 Design of transmission shaft 469

Problem 475

* 8.4 Stress under combined load 478

Exercises 486

Review and Summary 491

Review Questions 493

Computer Exercises 495

Chapter 9 Beam Deflection 498

ⅩⅨⅩⅧ9.1 Introduction 500

9.2 Deformation of beams under transverse loads 501

9.3 Elastic Curve Equation 503

9.4 Direct determination of elastic curve based on load distribution 509

9.5 Statically Indeterminate Beam 512

Problem 517

* 9.6 Singular function method to determine the angle and deflection of the beam 522

Exercise 529

9.7 Superposition Method 532

9.8 Superposition Method Applied to Statically Indeterminate Beams 534

Exercise 539

* 9.9 Area Moment Theorem 543

* 9.10 area moment theorem applied to cantilever beams and beams subjected to symmetrical loads 546

* 9.11 Section drawing moment 548

Problem 554

* 9.12 Area moment theorem applied to beams subjected to asymmetric loads 558

* 9.13 Maximum deflection 560

* 9.14 Area moment theorem applied to statically indeterminate beams 563

Exercises 568

Review and Summary 572

Review Questions 578

Computer Exercises 580

Chapter 10 Stabilizer 582

10.1 Introduction

10.2 Structural Stability

10.3 Euler's Formula 587

10.4 Euler's formula applied to other constraints 590

Problem 594

* 10.5 Eccentric load secant formula 600

Exercise 605

10.6 Design of Compression Rods under Central Load 609

Exercises 617

10.7 Design of Compression Rods under Eccentric Loads

Problem 626

Review and Summary 629

Review Questions 631

Computer Exercises 633

Chapter 11 Energy Methods 636

11.1 Introduction

11.2 Strain Energy

11.3 Strain energy density 640

11.4 Elastic Strain Energy at Normal Stress

11.5 Elastic Strain Energy of Shear Stress 644

11.6 Strain Energy in the General Stress State

Problem 651

11.7 Impact load 658

11.8 Impact Load Design 661

11.9 Work and energy with a single load 662

11.10 Applying Functional Methods to Determine Deflection Under a Single Load 664

Exercises 669

* 11.11 Work and energy when several loads are applied at the same time 674

* 11.12 Carr's Theorem 677

* 11.13 Determining the Deflection by Using Karl's Theorem 678

* 11.14 Karst theorem applied to static indefinite structures 681

Exercise 689

Review and Summary 693

Review Questions 697

Computer Exercises 699

Addendum 702

Appendix A Area Moment 703

Appendix B Mechanical Properties of Engineering Common Materials (SI Units) 712

Appendix C Section Steel Table (SI System) 715

Appendix D Beam Deflection and Angle 721

Appendix E Engineering Fundamentals Exam 723

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