Introduction to solid mechanics
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| Format: | Buch |
| Sprache: | English |
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Englewood Cliffs, NJ
Prentice-Hall
1989
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| Ausgabe: | 2. ed. |
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Datensatz im Suchindex
| _version_ | 1819621188422336512 |
|---|---|
| adam_text | INTRODUCTION
TO SOLID MECHANICS
Second Edition
IRVING H SHAMES
Faculty Professor and Distinguished Teaching Professor
Faculty of Engineering and Applied Science
State University of New York at Buffalo
PRENTICE HALL, Englewood Cliffs, NJ 07632
CONTENTS
PREFACE xiii
1 FUNDAMENTAL NOTIONS 1
1 1 Introduction 1
1 2 Vectors and Tensors 3
1 3 Force Distributions 4
14A Note on Force and Mass 5
1 5 Closure 6
2 STRESS * 7
2 1 Introduction 7
2 2 Stress 9
2 3 Stress Notation 15
2 4 Complementary Property of Shear 17
25A Comment on the Complementary Property of Shear 21
2 6 Equations of Equilibrium in Differential Form 22
2 7 Closure 24
vii
viii
3 STRAIN
Introduction 35
The Displacement Field 35
Strain Components 37
Strains in Terms of the Displacement Field 48
Compatibility Considerations 54
Closure 55
Contents
4 INTRODUCTION TO MECHANICAL PROPERTIES OF SOLIDS 67
4 1 Introduction 67
4 2 The Tensile Test 68
4 3 Strain Hardening and Other Properties 74
4 4 Idealized One-Dimensional, Time-Independent,
Stress-Strain Laws 76
*4 5 Time-Dependent Constitutive Relations 77
*4 6 Fatigue 82
4 7 Stress Concentration 87
*4 8 One-Dimensional Thermal Stress 88
4 9 Closure 90
5 ONE-DIMENSIONAL PROBLEMS 99
5 1 Introduction 99
5 2 Basic Considerations 99
5 3 Statically Determinate Problems 101
5 4 Statically Indeterminate Problems 106
5 5 Residual Stress Problem 109
*5 6 Problem Involving Viscoelastic Behavior 111
5 7 Design Problem 114
*5 8- Thermoelastic Problems 117
5 9 Closure 120
6 MULTIDIMENSIONAL STRESS-STRAIN RELATIONS 140
6 1 Introduction 140
6 2 Three-Dimensional Hooke s Law for Isotropic Materials 141
*6 3 Nonisotropic, Linear, Elastic Behavior: Generalized
Hooke s Law 148
*6 4 Strain Energy 151
6 5 Basic Equations of Elasticity 157
6 6 Closure 159
Contents ix
7 PLANE STRESS 168
7 1 Introduction 168
7 2 Stress Variations at a Point for Plane Stress 169
73A Pause and a Comment 173
7 4 Principal Stresses and Principal Axes 175
7 5 Mohr s Circle 179
7 6 Introduction to Photoelasticity 186
7 7 Closure 191
8 PLANE STRAIN 200
8 1 Introduction 200
8 2 Transformation Equations for Plane Strain 201
8 3 Properties of Plain Strain 206
84A Pertinent Comment 210
8 5 Further Discussion of Experimental Stress Analysis:
Strain Gauges 211
8 6 Brittle Lacquer Coatings and Moire Fringes 214
8 7 Closure 216
9 FAILURE CRITERIA 223
9 1 Introduction 223
9 2 Yield Criteria for Isotropic Ductile Materials 225
*9 3 Yield Surfaces 233
9 4 Maximum Normal Stress Theory for Brittle Fracture 238
9 5 Comparison of the Theories 239
9 6 Closure 240
10 SECTION FORCES IN BEAMS 243
10 1 Introduction 243
10 2 Shear Force, Axial Force, and Bending Moment 243
10 3 Direct Formulations of Shear and Bending-Moment
Equations 252
10 4 Differential Relations for Equilibrium and
Their Uses 257
*10 5 Sketching Diagrams Using Other Coordinates 271
10 6 Closure 273
11 STRESSES IN BEAMS 287
11 1 Introduction 287
x Contents
11 2 Pure Bending of Symmetric Beams 288
11 3 Bending of Symmetric Beams with Shear: Normal
Stress 295
11 4 Shear Stress in Transversly Loaded Beams 299
11 5 Consideration of General Cuts 307
*11 6 Composite Beams 314
*11 7 Case of Unsymmetric Beams 321
*11 8 Shear Stress in Beams of Narrow Cross Section 329
*11 9 A Note on the Shear Center for Thin-Walled Members 335
*11 10 Inelastic Behavior of Beams: The Elastic, Perfectly
Plastic Case 338
* 11 11 A Note on the Failure of a Structure: Limit
Design 341
* 11 12 Inelastic Behavior of Beams: Generalized
Stress-Strain Relation 343
11 13 Stress Concentrations for Bending 346
11 14 Closure 347
12 DEFLECTION OF BEAMS 369
12 1 Introduction 369
12 2 Differential Equations for Deflection of
Symmetric Beams 369
12 3 Additional Problems 377
12 4 Statically Indeterminate Beams 382
12 5 Superposition Methods 387
*12 6 Shear Deflection of Beams 392
12 7 Closure 395
*13 SINGULARITY FUNCTIONS 406
13 1 Introduction 406
13 2 Delta Functions and Step Functions 406
13 3 Deflection Computations Using Singularity Functions 410
13 4 The Doublet Function 417
13 5 Closure 422
14 TORSION 426
14 1 Introduction 426
14 2 Circular Shafts 427
14 3 Torsion Problems Involving Circular Shafts 432
14 4 Stress Concentrations 440
•14 5 Torsion of Thin-Walled Noncircular Shafts 441
Contents xi
*14 6 Elastic, Perfectly Plastic Torsion 446
*14 7 Noncircular Cross Sections 451
14 8 Closure 453
15 THREE-DIMENSIONAL STRESS PROPERTIES AT A POINT 467
15 1 Introduction 467
15 2 Three-Dimensional Transformation Formulations for Stress 468
*15 3 Principal Stresses for a General State of Stress 481
15 4 Tensor Invariants 487
15 5 Introduction to Tensor Notation 488
15 6 Closure 490
16 THREE-DIMENSIONAL STRAIN RELATIONS ATA POINT 499
16 1 Introduction 499
16 2 Transformation Equations for Strain 500
16 3 Properties of Strain 506
16 4 Closure 508
17 INTRODUCTION TO ELASTIC STABILITY 514
17 1 Introduction 514
17 2 Definition of Critical Load 514
17 3 A Note on Types of Elastic Instabilities 517
17 4 Beam-Column Equations 518
17 5 The Column: Buckling Loads 520
*17 6 A Mathematical Note 526
17 7 Solution of Beam-Column Problems 527
17 8 Initially Bent Member 529
*17 9 Eccentrically Loaded Columns 532
17 10 General Considerations 535
*17 11 Inelastic Column Theory 536
* 17 12 A Note on Column Formulas 539
17 13 Closure 540
*18 ENERGY METHODS I: DISPLACEMENT METHODS 550
18 1 Introduction 550
18 2 Principle of Virtual Work 551
18 3 A Comment 565
18 4 Strain Energy Computations 566
18 5 Method of Total Potential Energy 570
18 6 A Comment on the Total Potential Energy Method 574
xii Contents
18 7 The First Castigliano Theorem 574
18 8 Closure 578
* 19 ENERGY METHODS II: FORCE METHODS 584
19 1 Introduction 584
19 2 Complementary Virtual Work Principle 584
19 3 Complementary Strain Energy 588
19 4 Complementary Potential Energy Principle 589
19 5 Use of the Total Complementary Energy Principle 591
19 6 The Second Castigliano Theorem 594
19 7 The Second Castigliano Theorem: Statically
Indeterminate Beam Problems 598
19 8 The Second Castigliano Theorem: Statically
Indeterminate Truss Problems 602
19 9 Closure 606
*20 INTRODUCTION TO FINITE ELEMENTS 612
20 1 A Comment 612
Part A: Finite Elements for Trusses 613
20 2 Introduction 613
20 3 The Stiffness Matrix for an Element: Definition 614
20 4 Finite Elements and Trusses 615
20 5 Stiffness Matrix for an Element 619
20 6 The Global Stiffness Matrix 622
20 7 Solution of a Truss Problem 626
Part B: Some Preliminary General Considerations 631
20 8 Basic Considerations for Finite Elements 631
20 9 General Theory for the Displacement Method 635
20 10 Closure 638
APPENDICES 640
I Computer Projects 640
II Deformation of Isotropic Materials 681
III Proof Using Tensor Notation That Strain
Is a Second-Order Tensor 684
IV Tables 686
V Answers to Even-Numbered Problems 695
INDEX 1-1
|
| any_adam_object | 1 |
| author | Shames, Irving H. 1923- |
| author_GND | (DE-588)172371147 |
| author_facet | Shames, Irving H. 1923- |
| author_role | aut |
| author_sort | Shames, Irving H. 1923- |
| author_variant | i h s ih ihs |
| building | Verbundindex |
| bvnumber | BV005760207 |
| callnumber-first | T - Technology |
| callnumber-label | TA405 |
| callnumber-raw | TA405 |
| callnumber-search | TA405 |
| callnumber-sort | TA 3405 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | UF 1500 |
| ctrlnum | (OCoLC)18441646 (DE-599)BVBBV005760207 |
| dewey-full | 620.1/12 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/12 |
| dewey-search | 620.1/12 |
| dewey-sort | 3620.1 212 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV005760207 |
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| indexdate | 2024-12-23T11:44:41Z |
| institution | BVB |
| isbn | 0134975464 |
| language | English |
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| spellingShingle | Shames, Irving H. 1923- Introduction to solid mechanics Solids Strength of materials Festigkeitslehre (DE-588)4016917-0 gnd Festkörpermechanik (DE-588)4129367-8 gnd Mechanik (DE-588)4038168-7 gnd |
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| title | Introduction to solid mechanics |
| title_auth | Introduction to solid mechanics |
| title_exact_search | Introduction to solid mechanics |
| title_full | Introduction to solid mechanics |
| title_fullStr | Introduction to solid mechanics |
| title_full_unstemmed | Introduction to solid mechanics |
| title_short | Introduction to solid mechanics |
| title_sort | introduction to solid mechanics |
| topic | Solids Strength of materials Festigkeitslehre (DE-588)4016917-0 gnd Festkörpermechanik (DE-588)4129367-8 gnd Mechanik (DE-588)4038168-7 gnd |
| topic_facet | Solids Strength of materials Festigkeitslehre Festkörpermechanik Mechanik |
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