Buckling of bars, plates and shells:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
McGraw-Hill
1975
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 379 S. graph. Darst. |
| ISBN: | 0070085935 |
Staff View
MARC
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| 100 | 1 | |a Brush, Don O. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Buckling of bars, plates and shells |c Don O. Brush ; Bo O. Almroth |
| 264 | 1 | |a New York |b McGraw-Hill |c 1975 | |
| 300 | |a XVII, 379 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Flambage (Résistance des matériaux) | |
| 650 | 7 | |a analyse non linéaire |2 inriac | |
| 650 | 7 | |a coque cylindrique |2 inriac | |
| 650 | 7 | |a coque mince |2 inriac | |
| 650 | 7 | |a déformation |2 inriac | |
| 650 | 7 | |a méthode variationnelle |2 inriac | |
| 650 | 4 | |a Buckling (Mechanics) | |
| 650 | 4 | |a Structural analysis (Engineering) | |
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Record in the Search Index
| _version_ | 1804116600271405056 |
|---|---|
| adam_text | CONTENTS
Preface xi
List of Symbols xv
1 Introduction 1
LI Geometric Nonlinearity in Mechanics of Deformable Bodies 1
1 2 Column Analysis 6
1 3 Adjacent Equilibrium 11
1 4 The Slightly Crooked Column 13
1 5 Stability Theory 15
1 6 Metric System Units 17
1 7 General References 17
2 Straight Bars 21
2 1 Introduction 21
2 2 Flexural Instability of Columns 21
2 2a Influence of Boundary Conditions 22
2 2b Instability of Frames 28
Vi CONTENTS
2 2c Elastic Lateral Support 31
2 2d Column on an Elastic Foundation 35
2 3 Torsional Instability of Columns 37
2 4 Lateral Instability of Beams 51
2 5 Beam Columns 60
2 6 Failure of Slender Bars 65
3 Rectangular Flat Plates 75
3 1 Introduction 75
3 2 Elements of Plate Bending Theory 76
3 3 Nonlinear Equilibrium Equations 80
3 3a Summation of Forces and Moments 80
3 3b Stationary Potential Energy 83
3 3c Nonlinear Equilibrium Paths 88
3 4 Linear Stability Equations 89
3 4a Adjacent-Equilibrium Criterion 90
3 4b Minimum Potential Energy Criterion 92
3 5 Applications of the Stability Equation 94
3 5a Plate Simply Supported on Four Edges 94
3 5b Other Boundary Conditions 96
3 5c Shear Loading 99
3 5d Combined Loading 103
3 6 Orthotropic Plates 105
3 7 Sandwich Plates 108
3 8 Failure of Plates 113
4 Circular Rings 120
4 1 Introduction 120
4 2 Thin-Ring Deformation Geometry 121
4 3 Nonlinear Equilibrium Equations for Fluid-Pressure Loading 125
4 4 Linear Stability Equations 129
4 4a Adjacent-Equilibrium Criterion 129
4 4b Minimum Potential Energy Criterion 130
4 5 Solution for Fluid-Pressure Loading 132
4 6 Ring on an Elastic Foundation 133
4 7 Centrally Directed Pressure Loading 135
4 8 The Donnell Approximations 137
CONTENTS VÜ
5 Circular Cylindrical Shells 142
|51 Introduction 142
5 2 Donnell Form of the Nonlinear Equilibrium Equations 143
| 5 2a Summation of Forces and Moments 145
5 2b Stationary Potential Energy 148
» 5 2c Nonlinear Equilibrium Paths 151
t ■ 5 3 Donnell Form of the Linear Stability Equations 152
5 3a Adjacent-Equilibrium Criterion 152
5 3b Minimum Potential Energy Criterion 155
5 4 Stability Equations for Nonshallow Cylinders 157
5 4a Dead-Loading 157
5 4b Fluid-Pressure Loading 159
5 5 Applications of the Stability Equations 161
5 5a Uniform Lateral Pressure 161
5 5b Axial Compression 167
5 5c Torsion 170
5 5d Combined Loading 172
5 5e Influence of Boundary Conditions 174
5 6 Orthotropic Cylindrical Shells 177
5 7 Failure of Cylindrical Shells 182
6 General Shells 190
6 1 Introduction 190
6 2 Nonlinear Equilibrium Equations 193
6 3 Linear Stability Equations 198
6 3a Minimum Potential Energy Criterion 198
6 3b Adjacent-Equilibrium Criterion 201
6 4 Shells of Revolution 202
6 4a Stability Equations with Prebuckling Rotations Retained 204
6 4b Stability Equations with Prebuckling Rotations Omitted 206
6 5 Applications of the Stability Equations 208
6 5a Circular Flat Plates 208
6 5b Shallow Spherical Caps 211
6 5c Conical Shells 214
6 5d Segments of Toroidal Shells 217
7 Influence of Initial Imperfections 225
7 1 Introduction 225
7 2 Cylinder with Axisymmetric Imperfections 228
VÜi CONTENTS
7 3 Initial-Postbuckling Analysis 235
7 3a The Koiter Theory 235
7 3b Two-Bar Frame 240
7 3c Other Examples 252
7 4 Conclusions 258
8 Numerical Solution Methods 263
8 1 Introduction 263
8 2 Matrix Notation 264
8 3 Series Expansions 267
8 3a The Rayleigh-Ritz Method 268
8 3b The Galerkin Method 272
8 3c Buckling of a Cylinder under Bending 274
8 4 Finite Difference Analysis 276
8 4a Application to Column Buckling 281
8 4b Two-dimensional Finite Difference Expressions 286
8 5 Numerical Integration 290
8 6 Finite Element Analysis 294
8 6a Introduction 294
8 6b Bending of a Beam 296
8 6c Column Buckling 300
8 6d Shells of Revolution 303
9 Nonlinear Analysis 314
9 1 Introduction 314
9 2 Two-Column Structure 315
9 3 Solution Methods for Nonlinear Algebraic Equation Systems 320
9 4 Postbuckling Behavior of Plates 323
9 5 Nonlinear Analysis of Cylindrical Shells 326
9 5a Axisymmetric Behavior 326
9 5b Bifurcation from a Nonlinear Prebuckling State 327
9 5c Postbuckling Behavior of Cylindrical Shells 331
9 5d Bending of Cylinders 333
9 6 Spherical Caps 337
9 7 Shells with Elliptic Cross Section 340
9 8 Shells with Cutouts 344
9 9 Conclusions 351
CONTENTS IX
Appendix Variational Methods 357
A l Single Degree of Freedom Systems 357
A 2 Multiple Degree of Freedom Systems 358
A3 Continuous Systems 360
AA The Euler Equations 363
A3 The Trefftz Criterion 365
Index
|
| any_adam_object | 1 |
| author | Brush, Don O. Almroth, Bo O. |
| author_facet | Brush, Don O. Almroth, Bo O. |
| author_role | aut aut |
| author_sort | Brush, Don O. |
| author_variant | d o b do dob b o a bo boa |
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| bvnumber | BV002145812 |
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| callnumber-label | TA656 |
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| callnumber-subject | TA - General and Civil Engineering |
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| dewey-ones | 624 - Civil engineering |
| dewey-raw | 624/.171 |
| dewey-search | 624/.171 |
| dewey-sort | 3624 3171 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Chemie / Pharmazie Physik Bauingenieurwesen |
| format | Book |
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| id | DE-604.BV002145812 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:41:05Z |
| institution | BVB |
| isbn | 0070085935 |
| language | English |
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| physical | XVII, 379 S. graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1975 |
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| publishDateSort | 1975 |
| publisher | McGraw-Hill |
| record_format | marc |
| spelling | Brush, Don O. Verfasser aut Buckling of bars, plates and shells Don O. Brush ; Bo O. Almroth New York McGraw-Hill 1975 XVII, 379 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Constructions, Théorie des Flambage (Résistance des matériaux) analyse non linéaire inriac coque cylindrique inriac coque mince inriac déformation inriac méthode variationnelle inriac Buckling (Mechanics) Structural analysis (Engineering) Beulung (DE-588)4145101-6 gnd rswk-swf Flächentragwerk (DE-588)4017399-9 gnd rswk-swf Stabwerk (DE-588)4056702-3 gnd rswk-swf Stabwerk (DE-588)4056702-3 s Beulung (DE-588)4145101-6 s DE-604 Flächentragwerk (DE-588)4017399-9 s Almroth, Bo O. Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001407576&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brush, Don O. Almroth, Bo O. Buckling of bars, plates and shells Constructions, Théorie des Flambage (Résistance des matériaux) analyse non linéaire inriac coque cylindrique inriac coque mince inriac déformation inriac méthode variationnelle inriac Buckling (Mechanics) Structural analysis (Engineering) Beulung (DE-588)4145101-6 gnd Flächentragwerk (DE-588)4017399-9 gnd Stabwerk (DE-588)4056702-3 gnd |
| subject_GND | (DE-588)4145101-6 (DE-588)4017399-9 (DE-588)4056702-3 |
| title | Buckling of bars, plates and shells |
| title_auth | Buckling of bars, plates and shells |
| title_exact_search | Buckling of bars, plates and shells |
| title_full | Buckling of bars, plates and shells Don O. Brush ; Bo O. Almroth |
| title_fullStr | Buckling of bars, plates and shells Don O. Brush ; Bo O. Almroth |
| title_full_unstemmed | Buckling of bars, plates and shells Don O. Brush ; Bo O. Almroth |
| title_short | Buckling of bars, plates and shells |
| title_sort | buckling of bars plates and shells |
| topic | Constructions, Théorie des Flambage (Résistance des matériaux) analyse non linéaire inriac coque cylindrique inriac coque mince inriac déformation inriac méthode variationnelle inriac Buckling (Mechanics) Structural analysis (Engineering) Beulung (DE-588)4145101-6 gnd Flächentragwerk (DE-588)4017399-9 gnd Stabwerk (DE-588)4056702-3 gnd |
| topic_facet | Constructions, Théorie des Flambage (Résistance des matériaux) analyse non linéaire coque cylindrique coque mince déformation méthode variationnelle Buckling (Mechanics) Structural analysis (Engineering) Beulung Flächentragwerk Stabwerk |
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