Mechanics of solids and structures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
[2016]
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| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xi, 835 Seiten Illustrationen |
| ISBN: | 9781783263967 9781783263950 |
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Datensatz im Suchindex
| _version_ | 1804174936032411648 |
|---|---|
| adam_text | Titel: Mechanics of solids and structures
Autor: Rees, David W. A
Jahr: 2016
CONTENTS
PREFACE xi
CHAPTER 1
STRESS AND STRAIN TRANSFORMATION 1
1.1 Three-Dimensional Stress Analysis 1
1.2 Principal Stresses and Invariants 5
1.3 Principal Directions as Co-ordinates 10
1.4 Matrix and Tensor Transformations of Stress 17
1.5 Three-Dimensional Strain Analysis 21
1.6 Plane Stress 28
1.7 Plane Strain 33
Exercises 37
CHAPTER 2
PLANE ELASTICITY THEORY 45
2.1 Elastic Constants 45
2.2 Relationship Between Elastic Constants 48
2.3 Cartesian Plane Stress and Plane Strain 50
2.4 Cartesian Stress Functions 55
2.5 Cylindrical Plane Stress and Plane Strain 67
2.6 Cylindrical Stress Functions 71
Exercises 89
CHAPTER 3
STRUCTURES WITH SYMMETRY 97
3.1 Membrane Theory 97
3.2 Thick-Walled Cylinders 105
3.3 Interference Fits 107
3.4 Rotating Cylindrical Bodies 113
3.5 Thick-Wailed Sphere Under Pressure 122
3.6 Thermal Stresses in Cylindrical Bodies 125
3.7 Thermal Stresses in Thick Spheres 133
References 135
Exercises 135
vi CONTENTS
CHAPTER 4
BENDING OF BEAMS AND PLATES 143
4.1 Bending of Straight Beams 143
4.2 Combined Bending and Direct Stress 146
4.3 Beams with Initial Curvature 149
4.4 Elastic Bending of Composite Beams 155
4.5 Reinforced Sections (Steel in Concrete) 164
4.6 Asymmetric Bending 180
4.7 Bending of Circular Plates 186
4.8 Rectangular Plates 194
Exercises 199
CHAPTER 5
THEORIES OF TORSION 215
5.1 Torsion of Circular Sections 215
5.2 Torsion of Thin Strips 222
5.3 Torsion of Prismatic Bars 226
5.4 Circular Shaft with Variable Diameter 238
5.5 Torsion of Thin-Walled Closed Sections 243
5.6 Wagner-Kappus Torsion of Thin Open Tubes 251
Bibliography 265
Exercises 265
CHAPTER 6
MOMENT DISTRIBUTION 277
6.1 Single-Span Beams 277
6.2 Clapeyron s Theorem of Three Moments 280
6.3 The Moment Distribution Method 286
6.4 Continuous Beams 288
6.5 Beams with Misaligned Supports 294
6.6 Moment Distribution for Structures 295
Exercises 299
CONTENTS vii
CHAPTER 7
FLEXURAL SHEAR FLOW 305
7.1 Shear Stress Due to Shear Force in Beams 305
7.2 St Venant Shear in Prismatic Bars 311
7.3 The Shear Centre and Flexural Axis 315
7.4 Shear Flow in Thin-Walled Open Sections 316
7.5 Shear Flow in Thin-Walled Closed Sections 326
7.6 Web-Boom Idealisation for Symmetrical Sections 335
7.7 Web-Boom Idealisation for Asymmetric Sections 344
Bibliography 347
Exercises 347
CHAPTER 8
ENERGY METHODS 357
!. 1 Strain Energy and External Work 357
1.2 Castigliano s Theorems 363
1.3 The Principle of Virtual Work 371
1.4 The Principle of Virtual Forces 373
1.5 The Unit Load Method 378
i.6 Redundant Structures 385
1.7 The Principal of Virtual Displacements 395
1.8 The Rayleigh-Ritz Method 400
Exercises 406
CHAPTER 9
INSTABILITY OF COLUMNS AND PLATES 419
9.1 Perfect Euler Strut 419
9.2 Imperfect Euler Struts 423
9.3 Composite Struts with Variable Geometry 433
9.4 Semi-Empirical Approaches 444
9.5 Buckling Theory of Plates 452
9.6 Buckling of Plates in Shear 462
9.7 Flexural and Torsional Instability of Thin Open Sections 464
References 472
Bibliography 473
Exercises 473
CONTENTS
CHAPTER 10
FINITE ELEMENTS 483
10.1 The Stiffness Method 483
10.2 Bar Elements 484
10.3 Energy Methods 491
10.4 Triangular Element for Torsion 492
10.5 Plane Triangular Element 497
10.6 Plane Rectangular Element 519
10.7 Triangular Element with Axial Symmetry 522
10.8 Rectangular Element for Plate Flexure 532
10.9 Concluding Remarks 541
References 541
Exercises 542
CHAPTER 11
YIELD AND STRENGTH CRITERIA 549
11.1 Yielding of Ductile Isotropic Metals 549
11.2 General Yield Function for Isotropic Metals 558
11.3 Anisotropic Yielding 565
11.4 Fracture Criteria for Brittle Materials 570
11.5 Strength Criteria for Lamina 576
11.6 Comparisons with Experiment 582
11.7 Concluding Remarks 591
References 591
Bibliography 593
Exercises 593
CHAPTER 1 2
PLASTICITY AND COLLAPSE 597
12.1 Elastic-Plastic Bending of Beams 597
12.2 Plastic Collapse of Beams and Frames 603
12.3 Collapse of Structures 615
12.4 Plastic Torsion of Circular Sections 619
12.5 Multiaxial Plasticity 627
12.6 Plasticity with Hardening 636
References 649
Exercises 650
CONTENTS ix
CHAPTER 13
CREEP AND VISCO-ELASTICITY 659
13.1 The Creep Curve 659
13.2 Secondary Creep Rate 662
13.3 The Equation of State 666
13.4 Brittle Creep Rupture 670
13.5 Correlation of Uniaxial Creep Data 673
13.6 Creep in Structures 675
13.7 Multiaxial Stress States 679
13.8Visco-Elasticity 684
13.9 Design Data 698
References 699
Exercises 700
CHAPTER 14
HIGH- AND LOW-CYCLE FATIGUE 707
14.1 High-Cycle Fatigue 707
14.2 The Stress Cycle 708
14.3 Environmental Effects 721
14.4 Low-Cycle Fatigue 723
14.5 Creep-Fatigue Interaction 734
References 739
Exercises 740
CHAPTER 15
FRACTURE MECHANICS 745
15.1 Blunt Cracks 745
15.2 LEFM 747
15.3 Crack-Tip Plasticity 752
15.4 Fracture Toughness Measurement 756
15.5 Energy Balance Approach 758
15.6 Application of LEFM to Fatigue 766
15.7 Application of Fracture Mechanics to Creep 770
References 771
Exercises 772
x CONTENTS
APPENDIX I
PROPERTIES OF AREAS 775
1.1 Centroid and Moments of Area 775
1.2 Parallel and Perpendicular Axes 776
1.3 Principal Second Moments of Area 777
1.4 Matrix Representation 778
1.5 Graphical Solution 779
Exercises 788
APPENDIX II
MATRIX ALGEBRA 791
II. 1 The Formation of a Matrix 791
11.2 Matrix Addition and Subtraction 791
11.3 Matrix Multiplication 792
11.4 Transpose of a Matrix 793
II. 5 The Inverse of a Matrix 793
11.6 Matrix Types 794
11.7 Matrix Operations 795
Exercises 795
APPENDIX III
STRESS CONCENTRATIONS 799
111.1 Introduction 799
111.2 Tension and Bending of a Flat Plate with a Central Hole 799
111.3 Tension and Bending of a Flat Plate with a Double U-Notch 801
111.4 Tension and Bending of a Flat Plate with Shoulder Fillets 803
111.5 Tension and Bending of a Flat Plate with a Single U-Notch 804
111.6 Tension, Bending and Torsion of Circular Bars and Tubes with Cross-Bores 806
111.7 Tension, Bending and Torsion of a Circular Bar with a Circumferential U-Notch 808
111.8 Tension, Bending and Torsion of a Solid Circular Shaft with a Shoulder Fillet 809
111.9 Bending and Torsion of a Shaft with a Key-Way 811
III. 10 Extended Range of SCFs within Linear Scales 812
III. 11 Concluding Remarks 814
Bibliography 815
Exercises 815
INDEX 817
|
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| spelling | Rees, David W. A. 1947- Verfasser (DE-588)138811911 aut Mechanics of solids and structures David W. A. Rees, D. Sc. (Brunel University, UK) Second edition London Imperial College Press [2016] © 2016 xi, 835 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Technische Mechanik (DE-588)4059231-5 gnd rswk-swf Festkörpermechanik (DE-588)4129367-8 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Strukturmechanik (DE-588)4126904-4 s DE-604 Technische Mechanik (DE-588)4059231-5 s Festkörpermechanik (DE-588)4129367-8 s 2\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028157698&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rees, David W. A. 1947- Mechanics of solids and structures Technische Mechanik (DE-588)4059231-5 gnd Festkörpermechanik (DE-588)4129367-8 gnd Strukturmechanik (DE-588)4126904-4 gnd |
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| title | Mechanics of solids and structures |
| title_auth | Mechanics of solids and structures |
| title_exact_search | Mechanics of solids and structures |
| title_full | Mechanics of solids and structures David W. A. Rees, D. Sc. (Brunel University, UK) |
| title_fullStr | Mechanics of solids and structures David W. A. Rees, D. Sc. (Brunel University, UK) |
| title_full_unstemmed | Mechanics of solids and structures David W. A. Rees, D. Sc. (Brunel University, UK) |
| title_short | Mechanics of solids and structures |
| title_sort | mechanics of solids and structures |
| topic | Technische Mechanik (DE-588)4059231-5 gnd Festkörpermechanik (DE-588)4129367-8 gnd Strukturmechanik (DE-588)4126904-4 gnd |
| topic_facet | Technische Mechanik Festkörpermechanik Strukturmechanik Lehrbuch |
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