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Of Engineering Mechanics: He Qing forward Published: 2014

Series items: Introduction to the textbooks for the "Twelfth Five-Year Plan" for general higher education This book combines the editor's years of experience and experience in teaching and reforming engineering mechanics, and uses engineering as the background. Based on the research and exploration of the systematic, logical, and complete teaching content of engineering mechanics, Innovative reforms have been made in the teaching content system, mechanics concepts, examples, and exercise selection to effectively help readers establish mechanical thinking, strengthen mechanical modeling capabilities, and develop the ability to solve practical engineering problems. The book consists of 14 chapters, consisting of two parts: statics and material mechanics. The statics section includes the basics of statics, the simplification of the force system, and the balance of the force system; the material mechanics section includes the basics of material mechanics, internal force analysis of components, axial tension and compression, torsion and shear, bending, stress state analysis and strength Theory, combined deformation, stability of compression bar, energy method, statically indeterminate structure, dynamic stress and alternating stress. This book arranges content summary, thinking questions and exercises after each chapter. The appendix at the back of the book includes the geometric properties of the plane figure, the deformation of the beam under the simple load, the steel profile table and the answers to the exercises. This book can be used as a teaching material for engineering mechanics courses of engineering majors in colleges and universities, and can also be used as a reference for teachers and students and engineering and technical personnel in vocational colleges.

table of Contents

editor

Introduction to the Preface of the Beijing Catalogue in February 2014 1

0? 1 Research content of engineering mechanics 1

0? 2 Research Methods of Engineering Mechanics 3

First statics

Chapter 1 Basics of Statics 8

1? 1 Basic Concepts of Statics 8

1? 2 Basic Principles of Statics 11

1? 3 Constraints and Binding Forces 14

1 ~ 4 Force Analysis and Force Diagram 20

1 to 5 moment and force couple 22

Summary 29

Thinking questions 30

Exercises 31

Chapter 2 Simplification of the Force System 34

Principal vectors and moments of the 2 to 1 force system 34

Simplification of the 2-2 Force System 37

Center of 2 ~ 3 parallel force system and center of gravity of object 44

Summary 47

Thinking questions 48

Exercises 50

Chapter 3 Balance of Forces 54

Equilibrium conditions and equations of the 3? 1 force system 54

3? 2 System Balance 60

3? 3 Plane Truss Balance 66

3? 4 Friction Balance Problems 71

Summary 81

Question 82

Exercises 85

Material Mechanics

Chapter 4 Fundamentals of Material Mechanics

4? 1 Basic Assumptions of Deformed Solids

4? 2 External, Internal, and Section Methods 96

4? 3 Stress and Strain 100

Deformation of 4? 4 members 102

Summary 107

Questions 107

Exercises 109

Chapter 5 Internal Force Analysis of Components 111

5? 1 Internal force on member cross section 111

5? 2 Internal Force Equation and Internal Force Diagram 115

5-3 Relationship between Internal Force and Load Concentration 122

Internal forces of 5? 4 rigid frames and curved rods 129

Summary 132

Questions 133

Exercises 135

Chapter 6 Axial Tension and Compression

6? 1 Axial tension and compression stress 142

6? 2 Strain in axial tension and compression rods 146

Mechanical properties of 6? 3 materials under tension and compression 149

6.4 Axial tensile and compressive strength conditions 155

6-5 stress concentration 160

Summary 161

Thinking Questions 162

Exercises 163

7.Twisting and Shearing

7.1 Twisting of thin-walled cylinder 169

7.2 Stress of torsion on a circular shaft 172

7? 3 Deformation of torsion of circular shaft 177

7? 4 Free torsion of non-circular section bar 179

Practical calculations for 7-5 joins 185

Summary 191

Questions 192

Exercises 194

Chapter 8 Bending 200

8? 1 Bending normal stress 200

8? 2 Bending Shear Stress 211

8? 3 Bend deformation 222

8-4 Measures to improve the bending strength and stiffness of the beam 232

Summary 239

Questions 240

Exercises 241

Chapter 9 Stress State Analysis and Strength Theory

Stress state at 9 to 1 point 249

9-2 Stress State Analysis 252

9? 3 Stress Circle Analysis

9? 4 Generalized Hook's Law 266

9-5 Strength Theory 271

Summary 280

Questions 282

Exercises 285

Catalog of Engineering Mechanics Chapter 10 Combined Deformation 291

10? 1 Compression and bending combined deformation 291

10? 2 oblique bending 299

10 ~ 3 Combined deformation of bending and torsion 304

Summary 309

Questions 310

Exercises 311

Chapter 11 Stabilization of Rods

11? 1 Concept of Stability 317

11? 2 Critical pressure of slender ram 320

11 ~ 3 critical stress diagram 326

11? 4 Stability conditions and reasonable design of pressure bar 332

Summary 338

Questions 339

Exercises 341

12.Energy Law

Strain energy of 12-1 members 344

12? 2 strain energy density 351

12-3 Reciprocity Theorem 357

12-4 Karst Theorem 360

12? 5 Principle of Virtual Work 364

12-6 Moore's Theorem and Graph Multiplication 366

Summary 376

Thinking Questions 378

Exercises 380

Chapter 13 Statically Indeterminate Structures

13? 1 Statically indeterminate structure and its analysis method 385

13? 2 Simple Statically Indeterminate Structure 387

13 ~ 3 Force Method for Solving Statically Indeterminate Structures 397

13-4 Karst Theorem Understanding the Statically Indeterminate Structure 410

Summary 412

Questions 412

Exercises 414

Chapter 14: Dynamic and Alternating Stresses

14? 1 Dynamic stress under inertia load 420

14? 2 impact stress 423

14? 3 Alternating Stress and Its Cyclic Properties 432

14-4 Fatigue test and endurance limit 435

14-5 Fatigue Strength Calculation 443

14-6 Measures to Improve Fatigue Strength of Members 447

Summary 449

Questions 450

Exercises 453

Addendum 457

Appendix A. Geometric Properties of Planar Figures

A? 1 Static moment and centroid 457

A? 2 moment of inertia and product of inertia 459

A? 3 parallel shift formula and rotary formula 463

Summary 468

Questions 469

Exercises 471

Series items: Introduction to the textbooks for the "Twelfth Five-Year Plan" for general higher education This book combines the editor's years of experience and experience in teaching and reforming engineering mechanics, and uses engineering as the background. Based on the research and exploration of the systematic, logical, and complete teaching content of engineering mechanics, Innovative reforms have been made in the teaching content system, mechanics concepts, examples, and exercise selection to effectively help readers establish mechanical thinking, strengthen mechanical modeling capabilities, and develop the ability to solve practical engineering problems. The book consists of 14 chapters, consisting of two parts: statics and material mechanics. The statics section includes the basics of statics, the simplification of the force system, and the balance of the force system; the material mechanics section includes the basics of material mechanics, internal force analysis of components, axial tension and compression, torsion and shear, bending, stress state analysis and strength Theory, combined deformation, stability of compression bar, energy method, statically indeterminate structure, dynamic stress and alternating stress. This book arranges content summary, thinking questions and exercises after each chapter. The appendix at the back of the book includes the geometric properties of the plane figure, the deformation of the beam under the simple load, the steel profile table and the answers to the exercises. This book can be used as a teaching material for engineering mechanics courses of engineering majors in colleges and universities, and can also be used as a reference for teachers and students and engineering and technical personnel in vocational colleges.

table of Contents

editor

Introduction to the Preface of the Beijing Catalogue in February 2014 1

0? 1 Research content of engineering mechanics 1

0? 2 Research Methods of Engineering Mechanics 3

First statics

Chapter 1 Basics of Statics 8

1? 1 Basic Concepts of Statics 8

1? 2 Basic Principles of Statics 11

1? 3 Constraints and Binding Forces 14

1 ~ 4 Force Analysis and Force Diagram 20

1 to 5 moment and force couple 22

Summary 29

Thinking questions 30

Exercises 31

Chapter 2 Simplification of the Force System 34

Principal vectors and moments of the 2 to 1 force system 34

Simplification of the 2-2 Force System 37

Center of 2 ~ 3 parallel force system and center of gravity of object 44

Summary 47

Thinking questions 48

Exercises 50

Chapter 3 Balance of Forces 54

Equilibrium conditions and equations of the 3? 1 force system 54

3? 2 System Balance 60

3? 3 Plane Truss Balance 66

3? 4 Friction Balance Problems 71

Summary 81

Question 82

Exercises 85

Material Mechanics

Chapter 4 Fundamentals of Material Mechanics

4? 1 Basic Assumptions of Deformed Solids

4? 2 External, Internal, and Section Methods 96

4? 3 Stress and Strain 100

Deformation of 4? 4 members 102

Summary 107

Questions 107

Exercises 109

Chapter 5 Internal Force Analysis of Components 111

5? 1 Internal force on member cross section 111

5? 2 Internal Force Equation and Internal Force Diagram 115

5-3 Relationship between Internal Force and Load Concentration 122

Internal forces of 5? 4 rigid frames and curved rods 129

Summary 132

Questions 133

Exercises 135

Chapter 6 Axial Tension and Compression

6? 1 Axial tension and compression stress 142

6? 2 Strain in axial tension and compression rods 146

Mechanical properties of 6? 3 materials under tension and compression 149

6.4 Axial tensile and compressive strength conditions 155

6-5 stress concentration 160

Summary 161

Thinking Questions 162

Exercises 163

7.Twisting and Shearing

7.1 Twisting of thin-walled cylinder 169

7.2 Stress of torsion on a circular shaft 172

7? 3 Deformation of torsion of circular shaft 177

7? 4 Free torsion of non-circular section bar 179

Practical calculations for 7-5 joins 185

Summary 191

Questions 192

Exercises 194

Chapter 8 Bending 200

8? 1 Bending normal stress 200

8? 2 Bending Shear Stress 211

8? 3 Bend deformation 222

8-4 Measures to improve the bending strength and stiffness of the beam 232

Summary 239

Questions 240

Exercises 241

Chapter 9 Stress State Analysis and Strength Theory

Stress state at 9 to 1 point 249

9-2 Stress State Analysis 252

9? 3 Stress Circle Analysis

9? 4 Generalized Hook's Law 266

9-5 Strength Theory 271

Summary 280

Questions 282

Exercises 285

Catalog of Engineering Mechanics Chapter 10 Combined Deformation 291

10? 1 Compression and bending combined deformation 291

10? 2 oblique bending 299

10 ~ 3 Combined deformation of bending and torsion 304

Summary 309

Questions 310

Exercises 311

Chapter 11 Stabilization of Rods

11? 1 Concept of Stability 317

11? 2 Critical pressure of slender ram 320

11 ~ 3 critical stress diagram 326

11? 4 Stability conditions and reasonable design of pressure bar 332

Summary 338

Questions 339

Exercises 341

12.Energy Law

Strain energy of 12-1 members 344

12? 2 strain energy density 351

12-3 Reciprocity Theorem 357

12-4 Karst Theorem 360

12? 5 Principle of Virtual Work 364

12-6 Moore's Theorem and Graph Multiplication 366

Summary 376

Thinking Questions 378

Exercises 380

Chapter 13 Statically Indeterminate Structures

13? 1 Statically indeterminate structure and its analysis method 385

13? 2 Simple Statically Indeterminate Structure 387

13 ~ 3 Force Method for Solving Statically Indeterminate Structures 397

13-4 Karst Theorem Understanding the Statically Indeterminate Structure 410

Summary 412

Questions 412

Exercises 414

Chapter 14: Dynamic and Alternating Stresses

14? 1 Dynamic stress under inertia load 420

14? 2 impact stress 423

14? 3 Alternating Stress and Its Cyclic Properties 432

14-4 Fatigue test and endurance limit 435

14-5 Fatigue Strength Calculation 443

14-6 Measures to Improve Fatigue Strength of Members 447

Summary 449

Questions 450

Exercises 453

Addendum 457

Appendix A. Geometric Properties of Planar Figures

A? 1 Static moment and centroid 457

A? 2 moment of inertia and product of inertia 459

A? 3 parallel shift formula and rotary formula 463

Summary 468

Questions 469

Exercises 471

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