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[资源] 材料的强度：新的统一理论（英文版）

Strength of Materials: A New Unified Theory for the 21st Century

Author(s): Surya Patnaik, Dale Hopkins
Publisher: Butterworth-Heinemann (Elsevier)
Year: 2004
Edition: 1
Language: English
Pages: 771
Strength of Materials provides a comprehensive overview of the latest theory of strength of materials. The unified theory presented in this book is developed around three concepts: Hooke's Law, Equilibrium Equations, and Compatibility conditions. The first two of these methods have been fully understood, but clearly are indirect methods with limitations. Through research, the authors have come to understand compatibility conditions, which, until now, had remained in an immature state of development. This method, the Integrated Force Method (IFM) couples equilibrium and compatibility conditions to determine forces directly.The combination of these methods allows engineering students from a variety of disciplines to comprehend and compare the attributes of each. The concept that IFM strength of materials theory is problem independent, and can be easily generalized for solving difficult problems in linear, nonlinear, and dynamic regimes is focused upon. Discussion of the theory is limited to simple linear analysis problems suitable for an undergraduate course in strength of materials. To support the teaching application of the book there are problems and an instructor's manual. ·Provides a novel approach integrating two popular indirect solution methods with newly researched, more direct conditions ·Completes the previously partial theory of strength of materials ·A new frontier in solid mechanics
Table of contents :
Cover......Page 1
Title ......Page 3
Copyright......Page 4
Contents......Page 5
Preface......Page 9
Strength of Materials......Page 12
Determinate Analysis......Page 13
Indeterminate Analysis......Page 14
Stiffness Method......Page 15
Other Methods......Page 16
Unified Theory of Strength of Materials......Page 18
Historical Sketch......Page 19
References......Page 21
1. Introduction......Page 22
1.1 Systems of Units......Page 25
1.2 Response Variables......Page 28
1.3 Sign Conventions......Page 36
1.4 Load-Carrying Capacity of Members......Page 37
1.5 Material Properties......Page 49
1.6 Stress-Strain Law......Page 51
1.7 Assumptions of Strength of Materials......Page 58
1.8 Equilibrium Equations......Page 63
Three-Legged Table Problem......Page 65
Navier's Table Problem......Page 68
Problems......Page 71
2.1 Bar Member......Page 76
2.2 Stress in a Bar Member......Page 89
2.3 Displacement in a Bar Member......Page 93
2.5 Strain in a Bar Member......Page 95
2.6 Definition of a Truss Problem......Page 97
2.7 Nodal Displacement......Page 106
2.8 Initial Deformation in a Determinate Truss......Page 117
2.9 Thermal Effect in a Truss......Page 120
2.10 Settling of Support......Page 122
2.11 Theory of Determinate Analysis......Page 125
2.12 Definition of Determinate Truss......Page 134
Problems......Page 143
3. Simple Beam......Page 150
3.1 Analysis for Internal Forces......Page 152
3.2 Relationship between Bending Moment, Shear Force, and Load......Page 170
3.3 Flexure Formula......Page 174
3.4 Shear Stress Formula......Page 180
3.5 Displacement in a Beam......Page 185
3.6 Thermal Displacement in a Beam......Page 200
3.7 Settling of Supports......Page 204
3.8 Shear Center......Page 205
3.9 Built-up Beam an Interface Shear Force......Page 218
3.10 Composite Beams......Page 223
Problems......Page 230
4. Determinate Shaft......Page 238
4.1 Analysis of Internal Torque......Page 239
4.2 Torsion Formula......Page 243
4.3 Deformation Analysis......Page 245
4.4 Power Transmission through a Circular Shaft......Page 254
Problems......Page 257
5. Simple Frames......Page 260
Problems......Page 280
6. Indeterminate Truss......Page 284
6.1 Equilibrium Equations......Page 287
6.2 Deformation Displacement Relations......Page 289
6.4 Compatibility Conditions......Page 290
6.5 Initial Deformation and Support Settling......Page 291
6.7 Response Variables of Analysis......Page 294
6.9 Method of Displacements or the Displacement Method......Page 295
6.10 Integrated Force Method......Page 296
Procedures for Analysis......Page 297
Theory of Dual Integrated Force Method......Page 310
Theory of Stiffness Method......Page 317
Stiffness Method for Thermal Load......Page 321
First Thermal Load......Page 322
Second Thermal Load......Page 323
Stiffness Method for Support Settling......Page 324
Problems......Page 326
7. Indeterminate Beam......Page 332
7.1 Internal Forces in a Beam......Page 336
7.2 IFM Analysis for Indeterminate Beam......Page 338
7.3 Flexibility Matrix......Page 350
7.4 Stiffness Method Analysis for Indeterminate Beam......Page 358
7.5 Stiffness Method for Mechanical Load......Page 360
7.6 Stiffness Solution for Thermal Load......Page 362
7.7 Stiffness Solution for Support Settling......Page 364
7.8 Stiffness Method Solution to the Propped Beam......Page 371
7.9 IFM Solution to Example 7-5......Page 376
7.10 Stiffness Method Solution to Example 7-5......Page 381
Problems......Page 387
8. Indeterminate Shaft......Page 392
8.1 Equilibrium Equations......Page 393
8.3 Force Deformation Relations......Page 394
8.4 Compatibility Conditions......Page 396
8.5 Integrated Force Method for Shaft......Page 397
8.6 Stiffness Method Analysis for Shaft......Page 400
Problems......Page 422
9. Indeterminate Frame......Page 426
9.1 Integrated Force Method for Frame Analysis......Page 428
9.2 Stiffness Method Solution for the Frame......Page 442
9.3 Portal Frame—Thermal Load......Page 446
9.4 Thermal Analysis of the Frame by IFM......Page 448
9.5 Thermal Analysis of a Frame by the Stiffness Method......Page 450
9.6 Support Settling Analysis for Frame......Page 452
Problems......Page 457
10.1 Stress State in a Plate......Page 462
10.2 Plane Stress State......Page 463
10.3 Stress Transformation Rule......Page 466
10.4 Principal Stresses......Page 469
10.5 Moh's Circle for Plane Stress......Page 474
10.6 Properties of Principal Stress......Page 477
10.8 Stress in a Spherical Pressure Vessel......Page 484
10.9 Stress in a Cylindrical Pressure Vessel......Page 487
Problems......Page 491
11.1 The Buckling Concept......Page 496
11.2 State of Equilibrium......Page 499
11.3 Perturbation Equation for Column Buckling......Page 500
11.4 Solution of the Buckling Equation......Page 502
11.5 Effective Length of a Column......Page 508
11.6 Secant Formula......Page 509
Interpretation of the Secant Formulas......Page 512
Problems......Page 513
12. Energy Theorems......Page 518
12.1 Basic Engergy Concepts......Page 519
Energy Theorems......Page 530
Problems......Page 571
13. Finite Element Method......Page 576
13.1 Finite Element Model......Page 578
Equations of Integrated Force Method......Page 580
Equations of the Stiffness Method......Page 582
13.2 Matrices of the Finite Element Methods......Page 583
Problems......Page 613
14.1 Method of Redundant Force......Page 616
14.2 Method of Redundant Force for a Beam......Page 626
14.3 Method of Redundant Force for a Shaft......Page 634
14.4 Analysis of a Beam Supported by a Tie Rod......Page 636
14.5 IFM Solution to the Beam Supported by a Tie Rod Problem......Page 639
14.6 Conjugate Beam Concept......Page 643
14.7 Principle of Superposition......Page 647
14.8 Navier's Table Problem......Page 650
14.9 A Ring Problem......Page 654
14.10 Variables and Analysis Methods......Page 658
Problems......Page 661
Introduction......Page 666
Types of Matrices......Page 668
Matrix Operation......Page 670
Choleski Method......Page 673
Eigenvalue Problem......Page 676
Introduction......Page 680
Base Units......Page 698
Sign Conventions for Equilibrium Equations......Page 702
Appendix 5: Mechanical Properties of Structural Materials......Page 706
Axial Force......Page 708
Shear Force......Page 709
Bending Moment......Page 710
Beam Formulas......Page 711
Appendix 7: Strength of Materials Computer Code......Page 724
Appendix 8: Answers......Page 738
Index......Page 762

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