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Theory of structures: fundamentals, framed structures, plates and shells

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Bibliographische Detailangaben
Beteilige Person:	Marti, Peter 1949- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin Ernst 2013
Schlagwörter:	Befestigungselement Betonbau Bemessung Strukturanalyse Strukturmechanik Konstruktion Beispielsammlung
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=4014692&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025277929&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XVI, 679 S. graph. Darst. 280 mm x 210 mm
ISBN:	9783433029916 9783433602638

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MARC


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Datensatz im Suchindex

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adam_text	CONTENTS PREFACE V I INTRODUCTION 1 THE PURPOSE AND SCOPE OF THEORY OF STRUCTURES 1 1.1 GENERAL 1 1.2 THE BASIS O F THEORY O F STRUCTURES 1 1.3 METHODS OF THEORY O F STRUCTURES 2 1.4 STATICS AND STRUCTURAL DYNAMICS 3 1.5 THEORY OF STRUCTURES AND STRUCTURAL ENGINEERING 3 2 BRIEF HISTORICAL BACKGROUND 5 II FUNDAMENTALS 3 DESIGN OF STRUCTURES 11 3.1 GENERAL 11 3.2 CONCEPTUAL DESIGN 11 3.3 SERVICE CRITERIA AGREEMENT AND BASIS OF DESIGN 14 3.4 SUMMARY 26 3.5 EXERCISES 27 4 STRUCTURAL ANALYSIS AND DIMENSIONING 29 4.1 GENERAL 29 4.2 ACTIONS 29 4.2.1 ACTIONS AND ACTION EFFECTS 29 4.2.2 MODELS O F ACTIONS AND REPRESENTATIVE VALUES 3 0 4.3 STRUCTURAL MODELS 31 4.4 LIMIT STATES 31 4.5 DESIGN SITUATIONS AND LOAD CASES 32 4.6 VERIFICATIONS 33 4.6.1 VERIFICATION CONCEPT 33 4.6.2 DESIGN VALUES 33 4.6.3 VERIFICATION O F STRUCTURAL SAFETY 3 4 4.6.4 VERIFICATION OF SERVICEABILITY 35 4.7 COMMENTARY 35 4.8 RECOMMENDATIONS FOR THE STRUCTURAL CALCULATIONS 36 4.9 RECOMMENDATIONS FOR THE TECHNICAL REPORT 38 4.10 SUMMARY 4 0 4.11 EXERCISES 41 5 STATIC RELATIONSHIPS 4 3 5.1 FORCE SYSTEMS AND EQUILIBRIUM 43 5.1.1 TERMINOLOGY 4 3 5.1.2 FORCE SYSTEMS 4 4 5.1.3 EQUILIBRIUM 45 5.1.4 OVERALL STABILITY 45 5.1.5 SUPPORTS 47 5.1.6 HINGES 50 5.1.7 STRESS RESULTANTS 51 5.2 STRESSES 53 5.2.1 TERMINOLOGY 53 5.2.2 UNIAXIAL STRESS STATE 53 5.2.3 COPLANAR STRESS STATES 5 4 5.2.4 THREE-DIMENSIONAL STRESS STATES 57 5.3 DIFFERENTIAL STRUCTURAL ELEMENTS 61 5.3.1 STRAIGHT BARS 61 5.3.2 BARS IN SINGLE CURVATURE 62 5.4 SUMMARY 68 5.5 EXERCISES 69 6 KINEMATIC RELATIONSHIPS 71 6.1 TERMINOLOGY 71 6.2 COPLANAR DEFORMATION 72 6.3 THREE-DIMENSIONAL DEFORMATION STATE 74 6.4 SUMMARY 76 6.5 EXERCISES 77 7 CONSTITUTIVE RELATIONSHIPS 79 7.1 TERMINOLOGY 79 7.2 LINEAR ELASTIC BEHAVIOUR 81 7.3 PERFECTLY PLASTIC BEHAVIOUR 83 7.3.1 UNIAXIAL STRESS STATE 83 7.3.2 THREE-DIMENSIONAL STRESS STATES 84 7.3.3 YIELD CONDITIONS 85 7.4 TIME-DEPENDENT BEHAVIOUR 9 0 7.4.1 SHRINKAGE 9 0 7.4.2 CREEP AND RELAXATION 91 7.5 THERMAL DEFORMATIONS 9 4 7.6 FATIGUE 94 7.6.1 GENERAL 9 4 7.6.2 S - N CURVES 95 7.6.3 DAMAGE ACCUMULATION UNDER FATIGUE LOADS 7.7 SUMMARY 98 7.8 EXERCISES 9 9 HTTP://D-NB.INFO/1021674397 VIII CONTENTS 8 ENERGY METHODS 101 8.1 INTRODUCTORY EXAMPLE 101 8.1.1 STATICALLY DETERMINATE SYSTEM 101 8.1.2 STATICALLY INDETERMINATE SYSTEM 103 8.1.3 WORK EQUATION 104 8.1.4 COMMENTARY 105 8.2 VARIABLES AND OPERATORS 105 8.2.1 INTRODUCTION 105 8.2.2 PLANE FRAMED STRUCTURES 107 8.2.3 SPATIAL FRAMED STRUCTURES 109 8.2.4 COPLANAR STRESS STATES 110 8.2.5 COPLANAR STRAIN STATE I L L 8.2.6 SLABS I L L 8.2.7 THREE-DIMENSIONAL CONTINUA 113 8.2.8 COMMENTARY 114 8.3 THE PRINCIPLE OF VIRTUAL WORK 115 8.3.1 VIRTUAL FORCE AND DEFORMATION VARIABLES 115 8.3.2 THE PRINCIPLE OF VIRTUAL DEFORMATIONS 115 8.3.3 THE PRINCIPLE OF VIRTUAL FORCES 115 8.3.4 COMMENTARY 116 8.4 ELASTIC SYSTEMS 118 8.4.1 HYPERELASTIC MATERIALS 118 8.4.2 CONSERVATIVE SYSTEMS 119 8.4.3 LINEAR ELASTIC SYSTEMS 125 8.5 APPROXIMATION METHODS 128 8.5.1 INTRODUCTION 128 8.5.2 THE RITZ METHOD 129 8.5.3 THE GALERKIN METHOD 132 8.6 SUMMARY 134 8.7 EXERCISES 135 III LINEAR ANALYSIS OF FRAMED STRUCTURES 9 STRUCTURAL ELEMENTS AND TOPOLOGY 137 9.1 GENERAL 137 9.2 MODELLING OF STRUCTURES 137 9.3 DISCRETISED STRUCTURAL MODELS 140 9.3.1 DESCRIPTION OF THE STATIC SYSTEM 140 9.3.2 JOINT EQUILIBRIUM 141 9.3.3 STATIC DETERMINACY 142 9.3.4 KINEMATIC DERIVATION O F THE EQUILIBRIUM MATRIX 144 9.4 SUMMARY 147 9.5 EXERCISES 147 10 DETERMINING THE FORCES 149 10.1 GENERAL 149 10.2 INVESTIGATING SELECTED FREE BODIES 150 10.3 JOINT EQUILIBRIUM 154 10.4 THE KINEMATIC METHOD 156 10.5 SUMMARY 158 10.6 EXERCISES 158 11 STRESS RESULTANTS AND STATE DIAGRAMS 159 11.1 GENERAL 159 11.2 HINGED FRAMEWORKS 160 11.2.1 HINGED GIRDERS 161 11.2.2 HINGED ARCHES AND FRAMES 163 11.2.3 STIFFENED BEAMS WITH INTERMEDIATE HINGES 165 11.3 TRUSSES 166 11.3.1 PREREQUISITES AND STRUCTURAL TOPOLOGY 166 11.3.2 METHODS OF CALCULATION 169 11.3.3 JOINT EQUILIBRIUM 169 11.3.4 CREMONA DIAGRAM 171 11.3.5 RITTER METHOD OF SECTIONS 172 11.3.6 THE KINEMATIC METHOD 173 11.4 SUMMARY 174 11.5 EXERCISES 175 12 INFLUENCE LINES 177 12.1 GENERAL 177 12.2 DETERMINING INFLUENCE LINES BY MEANS OF EQUILIBRIUM CONDITIONS 178 12.3 KINEMATIC DETERMINATION OF INFLUENCE LINES 179 12.4 SUMMARY 183 12.5 EXERCISES 183 13 ELEMENTARY DEFORMATIONS 185 13.1 GENERAL 185 13.2 BENDING AND NORMAL FORCE 185 13.2.1 STRESSES AND STRAINS 185 13.2.2 PRINCIPAL AXES 187 13.2.3 STRESS CALCULATION 189 13.2.4 COMPOSITE CROSS-SECTIONS 190 13.2.5 THERMAL DEFORMATIONS 192 13.2.6 PLANAR BENDING O F CURVED BARS 193 13.2.7 PRACTICAL ADVICE 194 13.3 SHEAR FORCES 194 13.3.1 APPROXIMATION FOR PRISMATIC BARS SUBJECTED TO PURE BENDING 194 13.3.2 APPROXIMATE COPLANAR STRESS STATE 196 13.3.3 THIN-WALL CROSS-SECTIONS 197 13.3.4 SHEAR CENTRE 199 13.4 TORSION 200 13.4.1 CIRCULAR CROSS-SECTIONS 200 13.4.2 GENERAL CROSS-SECTIONS 201 13.4.3 THIN-WALL HOLLOW CROSS-SECTIONS 204 13.4.4 WARPING TORSION 207 13.5 SUMMARY 216 13.6 EXERCISES 218 14 SINGLE DEFORMATIONS 221 14.1 GENERAL 221 14.2 THE WORK THEOREM 222 14.2.1 INTRODUCTORY EXAMPLE 222 14.2.2 GENERAL FORMULATION 223 14.2.3 CALCULATING THE PASSIVE WORK INTEGRALS 223 14.2.4 SYSTEMATIC PROCEDURE 226 CONTENTS IX 14.3 APPLICATIONS 226 14.4 M A X W E L L ' S THEOREM 230 14.5 SUMMARY 231 14.6 EXERCISES 231 15 DEFORMATION DIAGRAMS 233 15.1 GENERAL 233 15.2 DIFFERENTIAL EQUATIONS FOR STRAIGHT BAR ELEMENTS 233 15.2.1 IN-PLANE LOADING 233 15.2.2 GENERAL LOADING 235 15.2.3 THE EFFECT O F SHEAR FORCES 235 15.2.4 CREEP, SHRINKAGE AND THERMAL DEFORMATIONS 235 15.2.5 CURVED BAR AXES 235 15.3 INTEGRATION METHODS 236 15.3.1 ANALYTICAL INTEGRATION 236 15.3.2 MOHR'S ANALOGY 238 15.5 EXERCISES 243 16 THE FORCE METHOD 245 16.1 GENERAL 245 16.2 STRUCTURAL BEHAVIOUR O F STATICALLY INDETERMINATE SYSTEMS 245 16.2.1 OVERVIEW 245 16.2.2 STATICALLY DETERMINATE SYSTEM 246 16.2.3 SYSTEM WITH ONE DEGREE O F STATIC INDETERMINACY 247 16.2.4 SYSTEM WITH TWO DEGREES OF STATIC INDETERMINACY 249 16.2.5 IN-DEPTH ANALYSIS OF SYSTEM WITH ONE DEGREE OF STATIC INDETERMINACY 250 16.2.6 IN-DEPTH ANALYSIS O F SYSTEM WITH TWO DEGREES OF STATIC INDETERMINACY 253 16.3 CLASSIC PRESENTATION O F THE FORCE METHOD 254 16.3.1 GENERAL PROCEDURE 254 16.3.2 COMMENTARY 255 16.3.3 DEFORMATIONS 257 16.3.4 INFLUENCE LINES 259 16.4 APPLICATIONS 262 16.5 SUMMARY 272 16.6 EXERCISES 274 17 THE DISPLACEMENT METHOD 277 17.1 INDEPENDENT BAR END VARIABLES 277 17.1.1 GENERAL 277 17.1.2 MEMBER STIFFNESS RELATIONSHIP 277 17.1.3 ACTIONS ON BARS 278 17.1.4 ALGORITHM FOR THE DISPLACEMENT METHOD 280 17.2 COMPLETE BAR END VARIABLES 281 17.2.1 GENERAL 281 17.2.2 MEMBER STIFFNESS RELATIONSHIP 282 17.2.3 ACTIONS ON BARS 283 17.2.4 SUPPORT FORCE VARIABLES 283 17.3 THE DIRECT STIFFNESS METHOD 284 17.3.1 INCIDENCE TRANSFORMATION 284 17.3.2 ROTATIONAL TRANSFORMATION 285 17.3.3 ALGORITHM FOR THE DIRECT STIFFNESS METHOD 286 17.4 THE SLOPE-DEFLECTION METHOD 290 17.4.1 GENERAL 290 17.4.2 BASIC STATES AND MEMBER END MOMENTS 292 17.4.3 EQUILIBRIUM CONDITIONS 293 17.4.4 APPLICATIONS 294 17.4.5 RESTRAINTS 298 17.4.6 INFLUENCE LINES 303 17.4.7 CROSS METHOD OF MOMENT DISTRIBUTION 305 17.5 SUMMARY 309 17.6 EXERCISES 310 18 CONTINUOUS MODELS 311 18.1 GENERAL 311 18.2 BAR EXTENSION 311 18.2.1 PRACTICAL EXAMPLES 311 18.2.2 ANALYTICAL MODEL 312 18.2.3 RESIDUAL STRESSES 314 18.2.4 RESTRAINTS 315 18.2.5 BOND 316 18.2.6 SUMMARY 320 18.3 BEAMS IN SHEAR 321 18.3.1 PRACTICAL EXAMPLES 321 18.3.2 ANALYTICAL MODEL 321 18.3.3 MULTI-STOREY FRAME 321 18.3.4 VIERENDEEL GIRDER 323 18.3.5 SANDWICH PANELS 324 18.3.6 SUMMARY 326 18.4 BEAMS IN BENDING 326 18.4.1 GENERAL 326 18.4.2 ANALYTICAL MODEL 327 18.4.3 RESTRAINTS 327 18.4.4 ELASTIC FOUNDATION 329 18.4.5 SUMMARY 332 18.5 COMBINED SHEAR AND BENDING RESPONSE 333 18.5.1 GENERAL 333 18.5.2 SHEAR WALL - FRAME SYSTEMS 334 18.5.3 SHEAR WALL CONNECTION 338 18.5.4 DOWELLED BEAMS 342 18.5.5 SUMMARY 344 18.6 ARCHES 345 18.6.1 GENERAL 345 18.6.2 ANALYTICAL MODEL 345 18.6.3 APPLICATIONS 346 18.6.4 SUMMARY 350 18.7 ANNULAR STRUCTURES 350 18.7.1 GENERAL 350 18.7.2 ANALYTICAL MODEL 351 18.7.3 APPLICATIONS 352 18.7.4 EDGE DISTURBANCES IN CYLINDRICAL SHELLS 353 18.7.5 SUMMARY 354 18.8 CABLES 354 18.8.1 GENERAL 354 18.8.2 ANALYTICAL MODEL 355 18.8.3 INEXTENSIBLE CABLES 357 X CONTENTS 18.8.4 EXTENSIBLE CABLES 358 18.8.5 AXIAL STIFFNESS OF LATERALLY LOADED CABLES 360 18.8.6 SUMMARY 360 18.9 COMBINED CABLE-TYPE AND BENDING RESPONSE 361 18.9.1 ANALYTICAL MODEL 361 18.9.2 BENDING-RESISTANT TIES 362 18.9.3 SUSPENDED ROOFS AND STRESS RIBBONS 363 18.9.4 SUSPENSION BRIDGES 368 18.9.5 SUMMARY 368 18.10 EXERCISES 369 19 DISCRETISED MODELS 371 19.1 GENERAL 371 19.2 THE FORCE METHOD 372 19.2.1 COMPLETE AND GLOBAL BAR END FORCES 372 19.2.2 MEMBER FLEXIBILITY RELATION 372 19.2.3 ACTIONS ON BARS 374 19.2.4 ALGORITHM FOR THE FORCE METHOD 374 19.2.5 COMPARISON WITH THE CLASSIC FORCE METHOD 376 19.2.6 PRACTICAL APPLICATION 376 19.2.7 REDUCED DEGREES OF FREEDOM 376 19.2.8 SUPPLEMENTARY REMARKS 379 19.3 INTRODUCTION TO THE FINITE ELEMENT METHOD 381 19.3.1 BASIC CONCEPTS 381 19.3.2 ELEMENT MATRICES 381 19.3.3 BAR ELEMENT RIGID IN SHEAR 381 19.3.4 SHAPE FUNCTIONS 385 19.3.5 COMMENTARY 386 19.4 SUMMARY 386 19.5 EXERCISES 387 IV NON-LINEAR ANALYSIS OF FRAMED STRUCTURES 20 ELASTIC-PLASTIC SYSTEMS 389 20.1 GENERAL 389 20.2 TRUSS WITH ONE DEGREE O F STATIC INDETERMINACY 389 20.2.1 SINGLE-PARAMETER LOADING 389 20.2.2 DUAL-PARAMETER LOADING AND GENERALISATION 395 20.3 BEAMS IN BENDING 398 20.3.1 MOMENT-CURVATURE DIAGRAMS 398 20.3.2 SIMPLY SUPPORTED BEAMS 399 20.3.3 CONTINUOUS BEAMS 403 20.3.4 FRAMES 404 20.3.5 COMMENTARY 405 20.4 SUMMARY 406 20.5 EXERCISES 407 21 LIMIT ANALYSIS 409 21.1 GENERAL 409 21.2 UPPER- AND LOWER-BOUND THEOREMS 410 21.2.1 BASIC CONCEPTS 410 21.2.2 LOWER-BOUND THEOREM 410 21.2.3 UPPER-BOUND THEOREM 411 21.2.4 COMPATIBILITY THEOREM 411 21.2.5 CONSEQUENCES O F THE UPPER- AND LOWER-BOUND THEOREMS 411 21.3 STATIC AND KINEMATIC METHODS 412 21.3.1 GENERAL 412 21.3.2 SIMPLY SUPPORTED BEAMS 413 21.3.3 CONTINUOUS BEAMS 415 21.3.4 PLANE FRAMES 416 21.3.5 PLANE FRAMES SUBJECTED TO TRANSVERSE LOADS 421 21.4 PLASTIC STRENGTH OF MATERIALS 426 21.4.1 GENERAL 426 21.4.2 SKEW BENDING 426 21.4.3 BENDING AND NORMAL FORCE 428 21.4.4 BENDING AND TORSION 432 21.4.5 BENDING AND SHEAR FORCE 434 21.5 SHAKEDOWN AND LIMIT LOADS 435 21.6 DIMENSIONING FOR MINIMUM WEIGHT 437 21.6.1 GENERAL 437 21.6.2 LINEAR OBJECTIVE FUNCTION 438 21.6.3 FOULKES MECHANISMS 438 21.6.4 COMMENTARY 440 21.7 NUMERICAL METHODS 441 21.7.1 THE FORCE METHOD 441 21.7.2 LIMIT LOAD PROGRAM 442 21.7.3 OPTIMUM DESIGN 444 21.8 SUMMARY 446 21.9 EXERCISES 447 22 STABILITY 449 22.1 GENERAL 449 22.2 ELASTIC BUCKLING 449 22.2.1 COLUMN DEFLECTION CURVE 449 22.2.2 BIFURCATION PROBLEMS 453 22.2.3 APPROXIMATION METHODS 454 22.2.4 FURTHER CONSIDERATIONS 460 22.2.5 SLOPE-DEFLECTION METHOD 465 22.2.6 STIFFNESS MATRICES 469 22.3 ELASTIC-PLASTIC BUCKLING 471 22.3.1 CONCENTRICALLY LOADED COLUMNS 471 22.3.2 ECCENTRICALLY LOADED COLUMNS 474 22.3.3 LIMIT LOADS OF FRAMES ACCORDING TO SECOND-ORDER THEORY 477 22.4 FLEXURAL-TORSIONAL BUCKLING AND LATERAL BUCKLING 480 22.4.1 BASIC CONCEPTS 480 22.4.2 CONCENTRIC LOADING 482 22.4.3 ECCENTRIC LOADING IN THE STRONG PLANE 483 22.4.4 GENERAL LOADING 485 22.5 SUMMARY 488 22.6 EXERCISES 489 V PLATES AND SHELLS 23 PLATES 491 23.1 GENERAL 491 23.2 ELASTIC PLATES 491 23.2.1 STRESS FUNCTION 491 CONTENTS XI 23.2.2 POLAR COORDINATES 493 23.2.3 APPROXIMATING FUNCTIONS FOR DISPLACEMENT COMPONENTS 496 23.3 REINFORCED CONCRETE PLATE ELEMENTS 496 23.3.1 ORTHOGONAL REINFORCEMENT 496 23.3.2 GENERAL REINFORCEMENT 500 23.4 STATIC METHOD 501 23.4.1 GENERAL 501 23.4.2 TRUSS MODELS 501 23.4.3 DISCONTINUOUS STRESS FIELDS 505 23.4.4 STRINGER-PANEL MODEL 511 23.5 KINEMATIC METHOD 512 23.5.1 APPLICATIONS IN REINFORCED CONCRETE 512 23.5.2 APPLICATIONS IN GEOTECHNICAL ENGINEERING 517 23.6 SUMMARY 520 23.7 EXERCISES 522 24 SLABS 525 24.1 BASIC CONCEPTS 525 24.1.1 GENERAL 525 24.1.2 STATIC RELATIONSHIPS 525 24.1.3 KINEMATIC RELATIONSHIPS 531 24.2 LINEAR ELASTIC SLABS RIGID IN SHEAR WITH SMALL DEFLECTIONS 533 24.2.1 FUNDAMENTAL RELATIONSHIPS 533 24.2.2 METHODS OF SOLUTION 535 24.2.3 ROTATIONALLY SYMMETRIC PROBLEMS 536 24.2.4 RECTANGULAR SLABS 539 24.2.5 FLAT SLABS 543 24.2.6 ENERGY METHODS 546 24.3 YIELD CONDITIONS 547 24.3.1 V O N MISES AND TRESCA YIELD CONDITIONS 547 24.3.2 REINFORCED CONCRETE SLABS 550 24.4 STATIC METHOD 557 24.4.1 ROTATIONALLY SYMMETRIC PROBLEMS 557 24.4.2 MOMENT FIELDS FOR RECTANGULAR SLABS 560 24.4.3 STRIP METHOD 563 24.5 KINEMATIC METHOD 567 24.5.1 INTRODUCTORY EXAMPLE 567 24.5.2 CALCULATING THE DISSIPATION WORK 568 24.5.3 APPLICATIONS 569 24.6 THE INFLUENCE O F SHEAR FORCES 572 24.6.1 ELASTIC SLABS 572 24.6.2 ROTATIONALLY SYMMETRIC VON MISES SLABS 574 24.6.3 REINFORCED CONCRETE SLABS 575 24.7 MEMBRANE ACTION 575 24.7.1 ELASTIC SLABS 575 24.7.2 PERFECTLY PLASTIC SLAB STRIP 577 24.7.3 REINFORCED CONCRETE SLABS 578 24.8 SUMMARY 581 24.9 EXERCISES 583 25 FOLDED PLATES 587 25.1 GENERAL 587 25.2 PRISMATIC FOLDED PLATES 588 25.2.1 SAWTOOTH ROOFS 588 25.2.2 BARREL VAULTS 589 25.2.3 COMMENTARY 593 25.3 NON-PRISMATIC FOLDED PLATES 594 25.4 SUMMARY 594 25.5 EXERCISES 594 26 SHELLS 595 26.1 GENERAL 595 26.2 MEMBRANE THEORY FOR SURFACES O F REVOLUTION 596 26.2.1 SYMMETRICAL LOADING 596 26.2.2 ASYMMETRIC LOADING 600 26.3 MEMBRANE THEORY FOR CYLINDRICAL SHELLS 601 26.3.1 GENERAL RELATIONSHIPS 601 26.3.2 PIPES AND BARREL VAULTS 602 26.3.3 POLYGONAL DOMES 604 26.4 MEMBRANE FORCES IN SHELLS OF ANY FORM 606 26.4.1 EQUILIBRIUM CONDITIONS 606 26.4.2 ELLIPTICAL PROBLEMS 607 26.4.3 HYPERBOLIC PROBLEMS 608 26.5 BENDING THEORY FOR ROTATIONALLY SYMMETRIC CYLINDRICAL SHELLS 613 26.6 BENDING THEORY FOR SHALLOW SHELLS 615 26.6.1 BASIC CONCEPTS 615 26.6.2 DIFFERENTIAL EQUATION FOR DEFLECTION 616 26.6.3 CIRCULAR CYLINDRICAL SHELLS SUBJECTED TO ASYMMETRIC LOADING 617 26.7 BENDING THEORY FOR SYMMETRICALLY LOADED SURFACES O F REVOLUTION 620 26.7.1 BASIC CONCEPTS 620 26.7.2 DIFFERENTIAL EQUATION FOR DEFLECTION 620 26.7.3 SPHERICAL SHELLS 621 26.7.4 APPROXIMATION FOR SHELLS O F ANY FORM 623 26.8 STABILITY 623 26.8.1 GENERAL 623 26.8.2 BIFURCATION LOADS 624 26.8.3 COMMENTARY 626 26.9 SUMMARY 627 26.10 EXERCISES 628 APPENDIX A1 DEFINITIONS 631 A2 NOTATION 637 A3 PROPERTIES OF MATERIALS 643 A4 GEOMETRICAL PROPERTIES OF SECTIONS 645 A5 MATRIX ALGEBRA 649 A5.1 TERMINOLOGY 649 A5.2 ALGORITHMS 650 A5.3 LINEAR EQUATIONS 652 A5.4 QUADRATIC FORMS 652 A5.5 EIGENVALUE PROBLEMS 653 A5.6 MATRIX NORMS AND CONDITION NUMBERS 654 XII CONTENTS A6 TENSOR CALCULUS 655 A6.1 INTRODUCTION 655 A6.2 TERMINOLOGY 655 A6.3 VECTORS AND TENSORS 656 A6.4 PRINCIPAL AXES O F SYMMETRIC SECOND-ORDER TENSORS 658 A6.5 TENSOR FIELDS AND INTEGRAL THEOREMS 658 A7 CALCULUS OF VARIATIONS 661 A7.1 EXTREME VALUES O F CONTINUOUS FUNCTIONS 661 A7.2 TERMINOLOGY 661 A7.3 THE SIMPLEST PROBLEM O F CALCULUS OF VARIATIONS 662 A7.4 SECOND VARIATION 663 A7.5 SEVERAL FUNCTIONS REQUIRED 664 A7.6 HIGHER-ORDER DERIVATIVES 664 A7.7 SEVERAL INDEPENDENT VARIABLES 665 A7.8 VARIATIONAL PROBLEMS WITH SIDE CONDITIONS 665 A7.9 THE RITZ METHOD 666 A7.10 NATURAL BOUNDARY CONDITIONS 667 REFERENCES 669 NAME INDEX 671 SUBJECT INDEX 673
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genre	(DE-588)4144384-6 Beispielsammlung gnd-content
genre_facet	Beispielsammlung
id	DE-604.BV040425312
illustrated	Illustrated
indexdate	2025-03-10T13:01:37Z
institution	BVB
isbn	9783433029916 9783433602638
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-025277929
oclc_num	815899997
open_access_boolean
owner	DE-91 DE-BY-TUM DE-634
owner_facet	DE-91 DE-BY-TUM DE-634
physical	XVI, 679 S. graph. Darst. 280 mm x 210 mm
publishDate	2013
publishDateSearch	2013
publishDateSort	2013
publisher	Ernst
record_format	marc
spellingShingle	Marti, Peter 1949- Theory of structures fundamentals, framed structures, plates and shells Befestigungselement (DE-588)4293121-6 gnd Betonbau (DE-588)4006115-2 gnd Bemessung (DE-588)4005461-5 gnd Strukturanalyse (DE-588)4183787-3 gnd Strukturmechanik (DE-588)4126904-4 gnd Konstruktion (DE-588)4032231-2 gnd
subject_GND	(DE-588)4293121-6 (DE-588)4006115-2 (DE-588)4005461-5 (DE-588)4183787-3 (DE-588)4126904-4 (DE-588)4032231-2 (DE-588)4144384-6
title	Theory of structures fundamentals, framed structures, plates and shells
title_auth	Theory of structures fundamentals, framed structures, plates and shells
title_exact_search	Theory of structures fundamentals, framed structures, plates and shells
title_full	Theory of structures fundamentals, framed structures, plates and shells Peter Marti
title_fullStr	Theory of structures fundamentals, framed structures, plates and shells Peter Marti
title_full_unstemmed	Theory of structures fundamentals, framed structures, plates and shells Peter Marti
title_short	Theory of structures
title_sort	theory of structures fundamentals framed structures plates and shells
title_sub	fundamentals, framed structures, plates and shells
topic	Befestigungselement (DE-588)4293121-6 gnd Betonbau (DE-588)4006115-2 gnd Bemessung (DE-588)4005461-5 gnd Strukturanalyse (DE-588)4183787-3 gnd Strukturmechanik (DE-588)4126904-4 gnd Konstruktion (DE-588)4032231-2 gnd
topic_facet	Befestigungselement Betonbau Bemessung Strukturanalyse Strukturmechanik Konstruktion Beispielsammlung
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work_keys_str_mv	AT martipeter theoryofstructuresfundamentalsframedstructuresplatesandshells

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