Numerical analysis of reinforced concrete structures
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| Sprache: | English Romanian |
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Amsterdam u.a.
Elsevier
1993
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| Schriftenreihe: | Developments in civil engineering
41 |
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| 264 | 1 | |a Amsterdam u.a. |b Elsevier |c 1993 | |
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| 650 | 4 | |a Reinforced concrete construction | |
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Datensatz im Suchindex
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| adam_text | DEVELOPMENTS IN CIVIL ENGINEERING, 41 NUMERICAL ANALYSIS OF REINFORCED
CONCRETE STRUCTURES BY CONSTANTIN A VRAM, CORNELIU BOB, RICHARD
FRIEDRICH AND VALERIU STOIAN TECHNICAL UNIVERSITY, TIMISOARA ELSEVIER
AMSTERDAM - LONDON - NEW YORK - TOKYO 1993 TABLE OF CONTENTS PREFACE IX
NOTE XI CHAPTER 1 / INTRODUCTION 1 CHAPTER 2 / NUMERICAL METHODS FOR
STRUCTURAL ANALYSIS 7 2.1 GENERAL ASPECTS . . 2.1.1 MATHEMATICAL MODELS
7 2.1.2 PHYSICAL METHODS . , 8 2.2 THE FINITCR^LEMENT METHOD .;;., .
,:,-.,, . . ..,-, ,**.-, .; : * 9 2.2.1 BASIC PRINCIPLES. ....,, *, ..
,.;J 9 2.2.2 THE FINITE-ELEMENT METHOFI. FOR ELASTIC CONTINUA 18 2.2.3
DISPLACEMENT FUNCTIONS AND CONVERGENCE CRITERIA;. . . . * 23 2.2.4 TYPES
OF FINITE ELEMENTS *. 25 2.2.5 POST-ELASTIC ANALYSIS BY FINITE ELEMENTS
. . . . *.--. 27 2.2.6 SECOND-ORDER ANALYSIS BY IINITC ELEMENTS . -. . .
. . . *. . . . . 30 2.2.6.1 SECOND-ORDER ANALYSIS 32 2.2.6.2 THE STUDY
OF STABILITY 37 2.2.7 DYNAMICAL ANALYSIS BY FINITE ELEMENTS 38 2.2.8
PROBABILISTIC FINITE-ELEMENT ANALYSIS 39 2.2.8.1 STATISTICAL EVALUATION
OF STRUCTURAL PROPERTIES . . . . . . 39 2.2.8.2 STATIC ANALYSIS USING
PROBABILISTIC CONCEPTS 41 2.2.8.3 PROBABILISTIC DESIGN OF STRUCTURAL
ELEMENTS 43 2.3 THE FINITE-STRIP METHOD 45 2.3.1 BASIC PRINCIPLES . .
* . . . : . ; . . . 45 2.3.2 DISPLACEMENT FUNCTIONS 46 2.3.3
DEVELOPMENT OF FINITE-STRIP MATRICES 49 2.4 THE BOUNDARY-CLEMENT METHOD
51 2.4.1 BASIC PRINCIPLES . . . . . . 51 2.4.2 THE GENERAL METHOD OF
WEIGHTED RESIDUALS 55 2.4.3 HYBRID NUMERICAL METHODS 59 2.5 THE THEORY
OF EQUIVALENCES . . . . . . . . . . 60 CHAPTER 3 / JLAR STRUCTURES . .
65 3.1 STATIC ANALYSIS OF FRAMEWORKS 65 3.1.1 ELASTIC ANALYSIS . .
**,!. .::. . . . . - . . . . . . . 65 3.1.1.1 THE BAR FINITE ELEMENT .
. . . . . . . . . . . . . . . . 65 * TABLE OF CONTENTS 3.1.1.2 THE FORCE
METHOD 73 3.1.1.3 THE DISPLACEMENT METHOD 82 3.1.1.4 NUMERICAL EXAMPLES
86 3.1.1.5 PRACTICAL ASPECTS OF THE FINITE-ELEMENT FRAMEWORK ANALYSIS.
95 3.1.2 POST-ELASTIC ANALYSIS 99 3.1.2.1 GENERAL ASPECTS 99 3.1.2.2
ELASTO-PLASTIC CHARACTERISTICS OF REINFORCED CONCRETE MEMBERS 100
3.1.2.3 ANALYSIS METHODS FOR REINFORCED CONCRETE STRUCTURES . . . 104
3.1.2.4 NUMERICAL EXAMPLE 107 3.2 STABILITY OF BAR STRUCTURES ILL 3.2.1
ELASTIC ANALYSIS ILL 3.2.1.1 CHARACTERISTIC MATRICES ILL 3.2.1.2
SOLUTION OF NONLINEAR EQUATIONS 116 3.2.1.3 NUMERICAL EXAMPLES 117 3.2.2
POST-ELASTIC ANALYSIS 120 3.3 DYNAMICS 121 3.3.1 SINGLE DEGREE OF
FREEDOM SYSTEMS 122 3.3.2 MULTIPLE DEGREES OF FREEDOM SYSTEMS 127
3.3.2.1 DYNAMIC ANALYSIS BY THE DISPLACEMENT METHOD 127 3.3.2.2 DYNAMIC
ANALYSIS BY THE FORCE METHOD 131 3.3.3 MODAL ANALYSIS OF DYNAMIC
RESPONSE 131 3.3.4 DYNAMIC RESPONSE OF DISTRIBUTED-MASS SYSTEMS 134
3.3.5 FINITE-ELEMENT ANALYSIS OF THE DYNAMIC RESPONSE OF
DISTRIBUTED-MASS SYSTEMS 138 3.3.6 NUMERICAL EXAMPLES 142 CHAPTER 4 /
PLATE STRUCTURES 149 4.1 STATIC ANALYSIS OF PLATE STRUCTURES 149 4.1.1
THE FINITE-ELEMENT METHOD 149 4.1.1.1 PLANE STRESS 149 4.1.1.2
BENDING-STRESS FINITE-ELEMENT ANALYSIS . . . 214 4.1.2 THE FINITE-STRIP
METHOD 241 4.1.2.1 GENERAL PRINCIPLES 241 4.1.2.2 FINITE-STRIP BENDING
ANALYSIS 244 4.1.2.3 FINITE-STRIP PLANE-STRESS ANALYSIS 252 4.1.2.4
FINITE-STRIP STRUCTURAL ANALYSIS 260 4.1.2.5 EXAMPLES OF FINITE-STRIP
ANALYSIS 264 4.1.3 THE THEORY OF EQUIVALENCES 269 4.1.3.1 THE STRAIN
ENERGY 269 4.1.3.2 PLANE-STRESS ANALYSIS 273 4.1.3.3 PLATE BENDING
ANALYSIS 304 4.2 STABILITY OF PLATE STRUCTURES 319 4.2.1 FINITE-ELEMENT
ANALYSIS 320 4.2.1.1 ELASTIC STABILITY OF PLATES 320 4.2.1.2
POST-ELASTIC STABILITY ANALYSIS 320 4.2.2 FINITE-STRIP ANALYSIS 322 VI
TABLE OF CONTENTS 4.3 DYNAMICS OF PLATE STRUCTURES 323 4.3.1 CLASSICAL
ANALYSIS OF PLATE DYNAMICS 323 4.3.2 FINITE-ELEMENT ANALYSIS OF PLATE
DYNAMICS 325 4.3.3 FINITE-STRIP ANALYSIS OF PLATE DYNAMICS 329 4.3.4
DYNAMIC ANALYSIS OF PLATE STRUCTURES USING FINITE-ELEMENT AND FINITE-
STRIP MODELS 333 4.3.5 THE THEORY OF EQUIVALENCES 338 CHAPTER 5 /
THIN-SHELL STRUCTURES 339 5.1 STATIC ANALYSIS OF THIN SHELLS 339 5.1.1
FINITE-ELEMENT STATIC ANALYSIS 339 5.1.1.1 ELASTIC ANALYSIS 341 5.1.1.2
POST-ELASTIC ANALYSIS 362 5.1.2 FINITE-STRIP ANALYSIS OF SHELLS 364
5.1.3 THEORY OF EQUIVALENCES APPLIED TO SHELL ANALYSIS . . . . 366 5.2
STABILITY ANALYSIS OF THIN SHELLS 367 5.3 DYNAMICS OF THIN SHELLS 369
CHAPTER 6 / MASSIVE STRUCTURES 373 6.1 STATICS OF MASSIVE STRUCTURES 373
6.1.1 THE FINITE-ELEMENT METHOD 373 6.1.1.1 INTRODUCTION 373 6.1.1.2
PLANE-STRAIN ANALYSIS 373 6.1.1.3 AXISYMMETRIC SOLID STRUCTURES 377
6.1.1.4 GENERAL THREE-DIMENSIONAL ANALYSIS 388 6.1.1.5 ISOPARAMETRIC
SOLID ELEMENTS 392 6.1.2 THEORY OF EQUIVALENCES APPLIED TO
THREE-DIMENSIONAL ANALYSIS . . . 401 6.1.2.1 PLANE-STRAIN EQUIVALENT
MODELS . 401 6.1.2.2 THREE-DIMENSIONAL EQUIVALENT MODEL 408 6.2 DYNAMIC
ANALYSIS OF MASSIVE STRUCTURES 414 APPENDIX A / BASIC CONCEPTS- 421 A. 1
VARIATIONAL PRINCIPLES 421 A. 1.1 NATURAL VARIATIONAL PRINCIPLES 421 A.
1.2 MODIFIED VARIATIONAL PRINCIPLES. LAGRANGE MULTIPLIERS 423 A.2 MATRIX
ALGEBRA 424 A.2.1 LINEAR AND QUADRATIC FORMS . . 424 A.2.2 SOLUTION
OF EQUATION SYSTEMS 425 A.2.2.1 LINEAR SYSTEMS 425 A.2.2.2 NONLINEAR
SYSTEMS 425 A.2.3 EIGENVALUE PROBLEMS 427 A.3 INTERPOLATION AND
INTEGRATION 428 A.3.1 NATURAL COORDINATES 428 A.3.2 APPROXIMATION AND
INTERPOLATION 431 A.3.3 INTEGRATION FORMULAE 436 VII TABLE OF CONTENTS
A.4 STATISTICAL EVALUATION OF STRUCTUIAL CHARACTERISTICS 440 A.4.1
VALUES OF R FOR COMPUTING FRACTILE VALUES X P . . . 440 A.4.2 VALUES OF
Y» FOR COMPUTING FRACTILE VALUES FOR GUMBEL DISTRIBUTION FOR MAXIMA . .
. . ... . . 441 A.4.3 EXACT FORMULAE FOR COMPUTING STATISTICAL VALUES OF
SOME RANDOM FUNCTIONS . 442 A.4.4 APPROXIMATE COMPUTATION OF STATISTICAL
VALUES FOR SOME FUNCTIONS 443 A.4.5 CORRESPONDENCE BETWEEN FAILURE
PROBABILITY AND RELIABILITY . . . 444 APPENDIX * / CHARACTERISTIC
MATRICES 445 B. 1 THE FINITE-ELEMENT METHOD 445 B. 1.1 THE STIFFNESS
MATRIX 445 B.1.2 SECANT AND TANGENT STIFFNESS MATRIX 462 B.2
FINITE-STRIP METHOD . ... . .... 469 . . . B.2.1 FINITE-STRIP TYPES AND
MATRIX VALUES FOR DISPLACEMENTS . . . . 469 B.2.2 FINITE-ELEMENT STRIPS
AND DISPLACEMENT FUNCTIONS ALONG STRIPS . 470 B.2.3 MATRIX K MA IN THE
GENERAL BENDING CASE 471 B.2.4 MATRIX * ** FOR A SKEW FINITE STRIP
SUBJECT TO IN-PLANE LOADING . . . 472 B.2.5 STRAIN MATRIX H M FOR A
CYLINDRICAL FINITE STRIP 473 B.2.6 MATRIX B M FOR A TRUNCATED-CONE
FINITE STRIP 474 13.2.7 MASS MATRIX FOR A TRUNCATED-CONE FINITE STRIP
475 B.3 THEORY OF EQUIVALENCES 476 . , B.3.1 STIFFNESS MATRIX FOR A
RECTANGULAR PIN-JOINTED MODEL UNDER PLANE- STRESS STATE 476 B.3.2
STIFFNESS MATRIX-FOR A TRIANGULAR PIN-JOINTED MODEL UNDER PLANE- STRESS
SLATE ....:, .. ... 477 B.3.3 STIFFNESS MATRIX FOR RHOMBUS MODEL UNDER
PLANE-STRESS STATE . . . 478 . B.,3.4 STIFFNESS MATRIX FOR RECTANGULAR
MODEL WITH RIGID CENTRE NODE UNDER PLANE-STRESS STATE *. . * . ... . . .
. 479 B.3.5 STIFFNESS MATRIX FOR ORTHOGONAL BEAM MODEL UNDER
BENDING-STRESS STATE 480 B.3.6 STIFFNESS MATRIX FOR RECTANGULAR MODEL
WITH DIAGONAL BARS UNDER ;, BENDING-STRESS STATE 481 B.3.7 STIFFNESS
MATRIX FOR ISOSCELES TRAPEZOID MODEL UNDER PLANE-STRESS STATE 482
REFERENCES . . . . . . . . . . : 483 ADDITIONAL REFERENCES , 493 AUTHOR
INDEX 495 SUBJECT INDEX 498 VIII
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| id | DE-604.BV009928047 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T13:44:47Z |
| institution | BVB |
| isbn | 0444988424 |
| language | English Romanian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006576322 |
| oclc_num | 27186119 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-898 DE-BY-UBR DE-634 |
| owner_facet | DE-91 DE-BY-TUM DE-898 DE-BY-UBR DE-634 |
| physical | IX, 508 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Elsevier |
| record_format | marc |
| series | Developments in civil engineering |
| series2 | Developments in civil engineering |
| spellingShingle | Numerical analysis of reinforced concrete structures Developments in civil engineering Analyse numérique ram Construction en béton armé ram Reinforced concrete construction Stahlbetonbau (DE-588)4056842-8 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4056842-8 (DE-588)4042805-9 |
| title | Numerical analysis of reinforced concrete structures |
| title_alt | Structuri din beton armat |
| title_auth | Numerical analysis of reinforced concrete structures |
| title_exact_search | Numerical analysis of reinforced concrete structures |
| title_full | Numerical analysis of reinforced concrete structures by Constantin Avram ... |
| title_fullStr | Numerical analysis of reinforced concrete structures by Constantin Avram ... |
| title_full_unstemmed | Numerical analysis of reinforced concrete structures by Constantin Avram ... |
| title_short | Numerical analysis of reinforced concrete structures |
| title_sort | numerical analysis of reinforced concrete structures |
| topic | Analyse numérique ram Construction en béton armé ram Reinforced concrete construction Stahlbetonbau (DE-588)4056842-8 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Analyse numérique Construction en béton armé Reinforced concrete construction Stahlbetonbau Numerische Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006576322&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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