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材料的强度：新的统一理论（英文版）
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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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