Stability analysis and design of structures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 535 S. graph. Darst. |
| ISBN: | 3540207848 |
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| 100 | 1 | |a Gambhir, Murari L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stability analysis and design of structures |c Murari L. Gambhir |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
| 300 | |a XI, 535 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | MURARI L. GAMBHIR STABILITY ANALYSIS AND DESIGN OF STRUCTURES WITH 159
FIGURES FYJ SPRINGER CONTENTS INTRODUCTION 1 1.1 DEFINITIONS OF
STABILITY 2 1.2 STRUCTURAL INSTABILITY 5 1.3 METHODS FOR STABILITY
ANANLYSIS ...: 8 1.4 SUMMARY 10 BASIC PRINCIPLES : 11 2.1 INTRODUCTION
11 2.2 IDEALIZATION OF STRUCTURES 11 2.3 EQUATIONS OF EQUILIBRIUM 11 2.4
FREE-BODY DIAGRAMS 13 2.5 WORK OF EXTERNALLY APPLIED FORCES 15 2.5.1
EIGENWORK AND DISPLACEMENT WORKS 17 2.5.2 LINEAR SPRINGS 18 2.5.3
VIRTUAL WORK 20 2.5.4 THE PRINCIPLE OF SUPERPOSITION OF MECHANICAL WORK
22 2.5.5 NON-LINEARITIES 24 2.6 WORK OF INTERNAL FORCES: STRAIN ENERGY
25 2.7 THE WORK EQUATION 29 2.8 ENERGY THEOREMS OF ELASTIC SYSTEMS 39
2.9 POTENTIAL ENERGY 43 2.9.1 TOTAL POTENTIAL ENERGY OF A DEFORMABLE
BODY 44 2.9.2 PRINCIPLE OF STATIONARY POTENTIAL ENERGY 45 2.9.3
APPLICATIONS OF TOTAL POTENTIAL ENERGY PRINCIPLES 46 2.10 METHODS OF
SOLUTION 49 2.10.1 METHOD OF TRIAL FUNCTIONS 49 2.10.2 GALERKIN METHOD
60 2.10.3 FINITE DIFFERENCE METHOD 61 2.10.4 NUMERICAL INTEGRATION 66
2.11 ORTHOGONALITY OF BUCKLING MODES 78 2.12 PROBLEMS 80 VIII CONTENTS 3
RIGID-BODY ASSEMBLAGES 87 3.1 INTRODUCTION 87 3.2 METHODS OF ANALYSIS 87
3.2.1 EQUILIBRIUM APPROACH 87 3.2.2 ENERGY APPROACH 88 3.3
SINGLE-DEGREE-OF-FREEDOM RIGID-BAR ASSEMBLAGES 92 3.3.1 MODELING OF
ELASTICALLY DEFORMABLE ELEMENTS BY EQUIVALENT SPRINGS 96 3.4
TWO-DEGREE-OF-FREEDOM SYSTEMS 101 3.5 DISCRETE ELEMENT METHOD 107 3.6
PROBLEMS 114 4 BUCKLING OF AXIALLY LOADED MEMBERS (COLUMNS) 119 4.1
INTRODUCTION 119 4.2 BUCKLING LOADS FOR MEMBERS WITH DIFFERENT END
CONDITIONS 119 4.2.1 HINGED-HINGED STRUT 120 4.2.2 FIXED-FREE CANTILEVER
STRUT 121 4.2.3 FIXED-HINGED STRUT 123 4.2.4 FIXED-FIXED STRUT 124 4.2.5
STRUTS WITH ELASTIC SUPPORTS 126 4.2.6 FRAMED COLUMNS 128 4.3 CONCEPT OF
EFFECTIVE LENGTH 135 4.4 APPROXIMATE TECHNIQUES 139 4.5 LARGE DEFLECTION
THEORY 157 4.6 PROBLEMS 159 5 STABILITY ANALYSIS OF BEAM-COLUMNS 171 5.1
INTRODUCTION 171 5.2 DERIVATION OF BASIC EQUATIONS 171 5.3 ANALYSIS OF
BEAM-COLUMNS 172 5.3.1 BEAM-COLUMN WITH CONCENTRATED LOADS 173 5.3.2
BEAM-COLUMN WITH AN INTERIOR MOMENT 176 5.3.3 BEAM-COLUMN SUBJECTED TO
END MOMENTS 177 5.3.4 BEAM-COLUMNS SUBJECTED TO DISTRIBUTED LOADS 181
5.3.5 ROTATIONALLY RESTRAINED BEAM-COLUMNS 184 5.4 BEAM-COLUMN WITH
ELASTIC SUPPORTS 185 5.4.1 DIFFERENTIAL EQUATION METHOD 185 5.4.2
NUMERICAL PROCEDURE 189 5.5 STRUT WITH INITIAL ECCENTRICITY 199 5.6
INTERACTION EQUATION 201 5.7 PROBLEMS 205 CONTENTS IX STABILITY ANALYSIS
OF FRAMES 213 6.1 INTRODUCTION 213 6.2 CLASSICAL APPROACH 213 6.2.1
CONTINUOUS COLUMNS AND BEAM-COLUMNS 213 6.2.2 RIGID-FRAMES 220 6.3
SEMI-GEOMETRICAL APPROACH 227 6.4 STIFFNESS METHOD 233 6.4.1 CRITERION
FOR DETERMINATION OF CRITICAL LOAD 233 6.4.2 STIFFNESS MATRIX INCLUDING
AXIAL FORCE EFFECTS 235 6.5 STABILITY FUNCTIONS 240 6.5.1 MEMBER WITH NO
LATERAL DISPLACEMENT 240 6.5.2 MEMBER SUBJECTED TO A RELATIVE END
DISPLACEMENT A 242 6.6 FRAMES WITH SIDESWAY 251 6.6.1 SINGLE-BAY
MULTI-STOREY FRAMES 257 6.6.2 MULTI-BAY RIGID FRAMES 265 6.6.3
SUBSTITUTE FRAME METHOD 269 6.7 RIGIDLY CONNECTED TRUSSES 272 6.8 MOMENT
DISTRIBUTION METHOD 277 6.9 PROBLEMS 283 BUCKLING OF MEMBERS HAVING OPEN
SECTIONS 291 7.1 INTRODUCTION 291 7.2 TORSIONAL BUCKLING 291 7.2.1
MEMBER SUBJECTED TO TORQUE 291 7.2.2 MEMBER SUBJECTED TO AXIAL FORCE 299
7.3 LATERAL BUCKLING OF BEAMS 315 7.3.1 TORSIONAL BUCKLING DUE TO
FLEXURE 315 7.3.2 TORSIONAL BUCKLING DUE TO FLEXURE AND AXIAL FORCE 323
7.4 LATERAL BUCKLING OF BEAMS WITH TRANSVERSE LOADS 324 7.4.1 LATERAL
BUCKLING OF A CANTILEVER BEAM 324 7.4.2 LATERAL BUCKLING OF A SIMPLY
SUPPORTED BEAM 328 7.5 PROBLEMS 330 ELASTIC BUCKLING OF THIN FLAT PLATES
335 8.1 INTRODUCTION 335 8.2 GOVERNING DIFFERENTIAL EQUATIONS OF BENDING
336 8.2.1 BOUNDARY CONDITIONS 341 8.3 ENERGY APPROACH 342 8.3.1 STRAIN
ENERGY OF PLATES 342 8.3.2 POTENTIAL ENERGY DUE TO IN-PLANE FORCES 343
8.4 BUCKLING ANALYSIS OF RECTANGULAR PLATES 344 8.4.1 GOVERNING
DIFFERENTIAL EQUATION SOLUTION 344 8.4.2 STATIONARY POTENTIAL PRINCIPLE
362 8.5 BUCKLING OF WEB PLATES OF GIRDERS 367 8.5.1 BUCKLING OF
RECTANGULAR PLATE IN SHEAR 368 X CONTENTS 8.5.2 BUCKLING OF RECTANGULAR
PLATE DUE TO NON-UNIFORM LONGITUDINAL STRESSES 371 8.5.3 BUCKLING OF
STIFFENED PLATES 374 8.6 STRENGTH OF THIN PLATES IN COMPRESSION 383 8.7
PLATES UNDER LONGITUDINAL COMPRESSION AND NORMAL LOADING 387 8.7.1
GOVERNING DIFFERENTIAL EQUATION METHOD 387 8.7.2 ENERGY APPROACH 390 8.8
PROBLEMS 392 9 STABILITY ANALYSIS OF ARCHES, RINGS AND SHELLS 397 9.1
INTRODUCTION 397 9.2 ARCHES 398 9.2.1 FLAT ARCHES 398 9.2.2 CIRCULAR
ARCHES 399 9.3 STABILITY OF RINGS AND TUBES 406 9.4 ELASTIC INSTABILITY
OF THIN SHELLS 410 9.4.1 GOVERNING DIFFERENTIAL EQUATION 411 9.4.2
ENERGY APPROACH 415 9.5 PROBLEMS 419 10 INELASTIC BUCKLING OF STRUCTURES
425 10.1 INTRODUCTION 425 10.2 INELASTIC BUCKLING OF STRAIGHT COLUMNS
425 10.2.1 STRESS-STRAIN RELATIONSHIP 427 10.3 THEORIES OF INELASTIC
BUCKLING 430 10.3.1 REDUCED MODULUS THEORY 430 10.3.2 TANGENT MODULUS
THEORY 433 10.4 ECCENTRICALLY LOADED COLUMNS 436 10.4.1 ANALYSIS OF
SHORT COLUMNS 440 10.5 INELASTIC BUCKLING BY TORSION AND FLEXURE 443
10.6 LATERAL BUCKLING OF BEAMS IN THE INELASTIC RANGE 443 10.7 INELASTIC
BUCKLING OF PLATES 444 10.7.1 PLATES SUBJECTED TO UNIAXIAL LOADING 445
10.7.2 PLATE SUBJECTED TO IN PLANE BIAXIAL LOADING 448 10.8 INELASTIC
BUCKLING OF THE SHELLS 449 10.9 PROBLEMS 451 11 STRUCTURAL DESIGN FOR
STABILITY OF MEMBERS 453 11.1 INTRODUCTION 453 11.2 COLUMN DESIGN
FORMULA 453 11.3 LOCAL PLATE BUCKLING OF STRUCTURAL MEMBERS 457 11.3.1
AVERAGE SHEAR STRESS 461 11.3.2 FLEXURAL BUCKLING OF WEBS 465 11.3.3
BUILT-UP SECTIONS 466 11.4 BEAM DESIGN FORMULA 468 CONTENTS XI 11.4.1
LATERAL BUCKLING OF BEAMS 468 11.4.2 EFFECTIVE LENGTH OF COMPRESSION
FLANGE 469 11.4.3 CODAL PROVISIONS 471 11.4.4 BEARING COMPRESSIVE STRESS
476 11.5 STIFFENERS 478 ; 11.5.1 VERTICAL STIFFENERS 478 11.5.2
HORIZONTAL STIFFENERS 479 11.6 BEAM-COLUMN DESIGN FORMULAE 480 11.6.1
CODAL PROVISIONS 482 11.6.2 DESIGN OF A BEAM-COLUMN MEMBER 484 11.7
OPTIMUM DESIGN 488 11.8 PROBLEMS 491 APPENDIX A: STABILITY FUNCTIONS 493
A.I STABILITY FUNCTIONS FOR COMPRESSION MEMBERS 493 A.2 STABILITY
FUNCTIONS FOR TENSION MEMBERS 497 A.3 STABILITY MAGNIFICATION FACTORS
FOR MEMBERS WITH LATERAL LOAD .... 499 APPENDIX B: EFFECTIVE LENGTH OF
STEPPED ARID MULTIPLE LEVEL LOAD COLUMNS 503 APPENDIX C: MATHEMATICAL
ESSENTIALS 515 C.I LINEAR DIFFERENTIAL EQUATIONS 515 C.2 BESSEL
FUNCTIONS 518 C.3 FOURIER SERIES 524 APPENDIX D: GENERAL REFERENCES 529
SUBJECT INDEX 531
|
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| indexdate | 2024-07-09T19:58:57Z |
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| language | English |
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| spelling | Gambhir, Murari L. Verfasser aut Stability analysis and design of structures Murari L. Gambhir Berlin [u.a.] Springer 2004 XI, 535 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Estabilidade estrutural larpcal Estruturas (análise) larpcal Structural analysis (Engineering) Structural stability Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Strukturelle Stabilität (DE-588)4295517-8 gnd rswk-swf Konstruktionselement (DE-588)4165100-5 gnd rswk-swf Konstruktionselement (DE-588)4165100-5 s Strukturelle Stabilität (DE-588)4295517-8 s Mathematisches Modell (DE-588)4114528-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012843507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gambhir, Murari L. Stability analysis and design of structures Estabilidade estrutural larpcal Estruturas (análise) larpcal Structural analysis (Engineering) Structural stability Mathematisches Modell (DE-588)4114528-8 gnd Strukturelle Stabilität (DE-588)4295517-8 gnd Konstruktionselement (DE-588)4165100-5 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4295517-8 (DE-588)4165100-5 |
| title | Stability analysis and design of structures |
| title_auth | Stability analysis and design of structures |
| title_exact_search | Stability analysis and design of structures |
| title_full | Stability analysis and design of structures Murari L. Gambhir |
| title_fullStr | Stability analysis and design of structures Murari L. Gambhir |
| title_full_unstemmed | Stability analysis and design of structures Murari L. Gambhir |
| title_short | Stability analysis and design of structures |
| title_sort | stability analysis and design of structures |
| topic | Estabilidade estrutural larpcal Estruturas (análise) larpcal Structural analysis (Engineering) Structural stability Mathematisches Modell (DE-588)4114528-8 gnd Strukturelle Stabilität (DE-588)4295517-8 gnd Konstruktionselement (DE-588)4165100-5 gnd |
| topic_facet | Estabilidade estrutural Estruturas (análise) Structural analysis (Engineering) Structural stability Mathematisches Modell Strukturelle Stabilität Konstruktionselement |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012843507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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