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Structural Engineering Document 1SE0D Matthias Haldimann Andreas Luible Mauro Overend Structural Use of Glass InternationalAssociationforBridgeandStructuralEngineering IABSE AssociationInternationaledesPontsetCharpentes AIPC InternationaleVereinigungfürBrückenbauundHochbau IVBH Copyright©2008by InternationalAssociationforBridgeandStructuralEngineering Allrightsreserved. Nopartofthisbookmaybereproducedinanyformorbyanymeans, electronic or mechanical, including photocopying, recording, or by any information storageandretrievalsystem,withoutpermissioninwritingfromthepublisher. ISBN978-3-85748-119-2 Publisher: IABSE-AIPC-IVBH ETHZürich CH-8093Zürich,Switzerland Phone: Int. +41-44-6332647 Fax: Int. +41-44-6331241 E-mail: [email protected] Web: www.iabse.org Preface All common applications of architectural glass may be deemed as ‘structural’. A small glasspaneinatraditionalfour-edgesupportedwindowframemustwithstandself-weight, wind-inducedpressures,thermalstrainsandoccasionalcleaningloads. Unsurprisingly thereareseveralsuitableguidelinesandadequaterulesofthumbthatenableappropriate designofthesetraditionalapplications. Recentarchitecturaltrendsandtechnologicaldevelopmentshavebroughtaboutun- precedented opportunities and major changes in the use of glass in buildings. These includetheuseoflargeareaglasspanels;theuseofglassinareastraditionallyreserved for other materials such as roofs, floors, staircases and partitions; a vast selection of improvedglassproducts;awiderangeofnovelsupportandconnectiondetailsincluding boltedglass. Theconsequenceoftheseexcitingapplicationsisthatglassisoftensubjected toonerousactionsandcomplexstatesofstress. Furthermoretheglassmaynowcontribute to the integrity of the overall structure and the consequence of failure is considerably greater,suchthattheglasshasamore‘structural’rolethanthesmallglasspaneinthe traditional four-edge supported window. In such applications the traditional rules of thumbareoflittleassistanceasthesimplifyingassumptionsembeddedwithinthemno longerholdtrueandcannotbeextrapolatedfromthespecificglassproductandsimple boundaryconditionsforwhichtheyweredevised. Structuralengineerscurrentlyhaveabewilderingarrayofglassproductsandconfigu- rationstochoosefromandawiderangeofnormalandexceptionalloadingconditions toconsider,butveryfewunifiedreferencetextsforundertakingthesetasks. Thisbook attemptstoredressthisissuebyprovidinganoverviewoftherecentdevelopmentsinthis fieldtherebyprovidingabasisfortheunderstandingofthestructuralperformanceand designofglassinbuildings. Thebookisprimarilyforstructuralengineersandresearcherswhohaveaninterest instructuralglass. Itdrawsontopicsfrommanyspecialistareassuchasmanufacturing, materialsscience,fracturemechanics,computationalanalysis,reliabilityandforensicengi- neeringandisthereforealsorelevanttoprofessionalsinthisfield. Thelevelisappropriate forseniorundergraduates,post-graduatestudents,researchersandpractisingengineers. Thelevelofinterestandthedepthofknowledgewillvaryforinstancebetweenthe generalpractisingengineerwhomaybeinterestedingaininganoverviewofthegeneral design considerations and specification of glass structures, to the researcher who may beinterestedinaspecificfracturephenomenoninglass. Thiswiderangeofinterestis accommodatedbyprovidingamixofgeneralandspecialistchapters. Furthermore,the textissupplementedbytablesoftherelevantcodesofpracticeandbyanextensivelistof references. Thefirstchapterprovidesareviewofglassproduction,processingmethodsandglass productsrangingfromclearfloatglasstothemorerecentdevelopmentsinswitchable glazing. Thechapteralsoprovidesbothausefullistingofglassproductsaswellasthe underlyingprinciplesthataffectthemechanicalpropertiesofglass. Chapter2provides general guidelines on the analysis and design of glass structures, including advice on actionsonglassstructures,structuralanalysisandcomputationalmodellingaswellas post-breakagebehaviourandrequirements. Chapter3providesananswertotheelusive question ’What is the strength of glass?’ by presenting an account of glass fracture mechanismsandformulatingusefulstochasticfailurepredictionmodelsforasingleflaw and for random surface flaw populations. The chapter also provides an overview of fundamental dynamic fracture mechanics which is useful in glass forensics. Chapter 4 presents a series of quick checks and rules of thumb that are useful for preliminary sizing of structural glass elements. This chapter also reviews the main standards and codes of practice used for the design of structural glass and provides a commentary on the strengths and shortcomings of these standards. Chapter 5 covers the exciting possibilitiesofferedbyloadingglassincompressionandthefactorsthataffectbuckling instabilityinglass. Thechapterprovidesguidelinesontheperformanceandstructural designofglasselementsthatundergocolumnbuckling, lateraltorsionalbucklingand plate buckling. Chapter 6 provides recommendations on how the fracture mechanics formulations presented in the previous chapters may be deployed in practice. This chapter provides guidelines on how to overcome the limitations of laboratory testing andhowtoobtainstatisticallyrelevantandconsistentdata. Chapter7presentsareview of connections and support fixings commonly used in glass structures and provides recommendations on good detailing. The chapter also provides useful sizing charts forboltedfixingsandreviewstherecentdevelopmentsinenhancedmechanicalfixings and adhesive connections. Chapter 8 reviews the current practice and standards used forthedesign-assisted-by-testingapproach,whichisparticularlyrelevantforassessing post-breakageandimpactperformance. Thischapteralsoincludespracticaladvicefor undertakingforensicengineeringinglassstructures. Thisbookthereforeprovidesasnapshotoftherecentdevelopmentsinthestructural useofglassinbuildingsanddrawsfromthelatestdevelopmentsinpracticeandresearch. Thiswasonlypossiblethankstothecontributionsfromstudentsandcolleagueswhohave kindlydonatedtheirworkortheirtime. Theircontributionsaregratefullyacknowledged inthetextandthereferences. Thecontentsofthisbookhavealsobeengreatlyenriched bythecontributionsofseveralglassexperts,whohaveprovidedsubstantialinputand adviceonspecificsectionsofthisbook. Theirnamesarelistedbelowandarealsoshown alongsidetheheadingsofthesectionstheycontributedin. BenjaminBEER WernerSobekStuttgart,Germany LucioBLANDINI,Dr. WernerSobekStuttgart,Germany MickEEKHOUT,Prof.Dr. Octatube,Delft,TheNetherlands ChristophHAAS ErnstBasler+PartnerAG,Zürich,Switzerland IrisMANIATIS,Dr. UniversityoftheGermanFederalArmedForcesMunich,Germany JürgenNEUGEBAUER,Dr. UniversityofAppliedSciences,FHJoanneum,Graz,Austria JensSCHNEIDER,Prof.Dr. FrankfurtUniversityofAppliedSciences,Germany WernerSOBEK,Prof.Dr. WernerSobekStuttgart,Germany GeraltSIEBERT,Prof.Dr. UniversityoftheGermanFederalArmedForcesMunich,Germany RonaldVISSER Octatube,Delft,TheNetherlands FrankWELLERSHOFF,Dr. PermasteelisaCentralEuropeGmbH,Würzburg,Germany Finally a special word of thanks goes to the IABSE Structural Engineering Documents EditorialBoard,especiallytoGeoffTaplin,andtotheirreviewersChrisJofehandGeralt Siebert,whokindlyreviewedthedraftsofthisbookandhelpedtoimproveitwiththeir valuablefeedback. Berne,BaselandNottingham/January2008 Dr.MatthiasHaldimann Dr.AndreasLuible Dr.MauroOverend Contents 1 Material 1 1.1 Production . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.1 Productionofflatglass . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.2 Productionofcastglassandglassprofiles . . . . . . . . . . . . . . . 3 1.1.3 Relevantstandards . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Materialproperties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2.1 Compositionandchemicalproperties . . . . . . . . . . . . . . . . . . 4 1.2.2 Physicalproperties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 Processingandglassproducts . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3.2 Temperingofglass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3.3 Laminatedglass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.3.4 Insulatingglassunits(IGU) . . . . . . . . . . . . . . . . . . . . . . . . 15 1.3.5 Curvedglass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.3.6 Decorativesurfacemodificationprocesses . . . . . . . . . . . . . . . 16 1.3.7 Functionalcoatings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 1.3.8 Switchableglazing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.3.9 Otherrecentglasses . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 1.3.10 Relevantstandards . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2 General Design Guidelines 27 2.1 Thedesignprocess . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.1.1 Particularitiesofglassstructures . . . . . . . . . . . . . . . . . . . . . 27 2.1.2 Riskanalysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.1.3 Post-breakagebehaviourandrobustness . . . . . . . . . . . . . . . . 30 2.2 Actionsonglassstructures . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.2.1 Particularitiesofglassstructures . . . . . . . . . . . . . . . . . . . . . 31 2.2.2 Windloads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 2.2.3 Correlationofwindloadandmaterialtemperature . . . . . . . . . 33 2.2.4 Seismicloadsandmovements . . . . . . . . . . . . . . . . . . . . . . 35 2.2.5 Impactloads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.2.6 Bombblast . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.2.7 Internalpressureloadsoninsulatedglassunits . . . . . . . . . . . . 38 2.2.8 Thermalstress . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 2.2.9 Surfacedamage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 2.3 Structuralanalysisandmodelling . . . . . . . . . . . . . . . . . . . . . . . 40 2.3.1 Geometricnon-linearity . . . . . . . . . . . . . . . . . . . . . . . . . . 40 2.3.2 Finiteelementanalysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 2.3.3 Simplifiedapproachesandaids. . . . . . . . . . . . . . . . . . . . . . 42 2.4 Requirementsforapplication . . . . . . . . . . . . . . . . . . . . . . . . . . 42 2.4.1 Verticalglazing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 2.4.2 Overheadglazing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 2.4.3 Accessibleglazing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.4.4 Railingsandbalustrades . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3 Fracture Strength of Glass Elements 49 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 3.2 Stresscorrosionandsub-criticalcrackgrowth . . . . . . . . . . . . . . . 50 3.2.1 Relationshipbetweencrackvelocityandstressintensity . . . . . . 50 3.2.2 Crackhealing,crackgrowththresholdandhysteresiseffect . . . . 52 3.2.3 Influencesontherelationshipbetweenstressintensityandcrack growth. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.3 Quasi-staticfracturemechanics . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.3.1 Stressintensityandfracturetoughness . . . . . . . . . . . . . . . . . 55 3.3.2 Heat-treatedglass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 3.3.3 Inertstrength . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 3.3.4 Lifetimeofasingleflaw . . . . . . . . . . . . . . . . . . . . . . . . . . 59 3.3.5 Lifetimeofaglasselementwitharandomsurfaceflawpopulation 62 3.3.6 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 3.4 Dynamicfracturemechanics . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 3.5 Laboratorytestingprocedures . . . . . . . . . . . . . . . . . . . . . . . . . . 74 3.5.1 Testingproceduresforcrackvelocityparameters . . . . . . . . . . . 74 3.5.2 Testingproceduresforstrengthdata . . . . . . . . . . . . . . . . . . 75 3.6 Quantitativeconsiderations . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 3.6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 3.6.2 Geometryfactor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 3.6.3 Ambientstrengthandsurfacecondition . . . . . . . . . . . . . . . . 78 3.6.4 Residualsurfacestressduetothermaltempering. . . . . . . . . . . 81 4 Current Standards, Guidelines and Design Methods 85 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 4.2 Rulesofthumb . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 4.2.1 Allowablestressbaseddesignmethods . . . . . . . . . . . . . . . . . 86 4.2.2 Recommendedspan/thicknessratios . . . . . . . . . . . . . . . . . . 87 4.3 Europeanstandardsanddesignmethods. . . . . . . . . . . . . . . . . . . 88 4.3.1 DELRdesignmethod . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 4.3.2 EuropeandraftstandardprEN13474 . . . . . . . . . . . . . . . . . . 90 4.3.3 Shen’sdesignmethod . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 4.3.4 Siebert’sdesignmethod . . . . . . . . . . . . . . . . . . . . . . . . . . 94 4.4 NorthAmericanstandardsanddesignmethods . . . . . . . . . . . . . . 96 4.4.1 Glassfailurepredictionmodel(GFPM) . . . . . . . . . . . . . . . . . 96 4.4.2 AmericanNationalstandardASTME1300 . . . . . . . . . . . . . . 97 4.4.3 CanadianNationalstandardCAN/CGSB12.20 . . . . . . . . . . . . 99 4.5 Analysisandcomments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 4.6 ConclusionandOutlook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 5 Design for Compressive In-plane Loads and Stability Problems 107 5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 5.2 Parametershavinganinfluenceonthebucklingbehaviour . . . . . . . 108 5.2.1 Glassthickness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 5.2.2 Initialdeformation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 5.2.3 Interlayermaterialbehaviourinlaminatedglass . . . . . . . . . . . 109 5.2.4 Boundaryconditionsandglassfixings . . . . . . . . . . . . . . . . . 109 5.3 Columnbuckling. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 5.3.1 Modelling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 5.3.2 Loadcarryingbehaviour . . . . . . . . . . . . . . . . . . . . . . . . . . 112 5.3.3 Structuraldesign . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 5.3.4 Intermediatelateralsupports . . . . . . . . . . . . . . . . . . . . . . . 113 5.3.5 Influenceoftheloadintroduction . . . . . . . . . . . . . . . . . . . . 114 5.4 Lateraltorsionalbuckling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 5.4.1 Modelling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 5.4.2 Loadcarryingbehaviour . . . . . . . . . . . . . . . . . . . . . . . . . . 117 5.4.3 Structuraldesign . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 5.5 Platebuckling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 5.5.1 Modelling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 5.5.2 Loadcarryingbehaviour . . . . . . . . . . . . . . . . . . . . . . . . . . 125 5.5.3 Structuraldesign . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 6 Design Methods for Improved Accuracy and Flexibility 131 6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 6.2 Surfaceconditionmodelling . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 6.2.1 Singlesurfaceflawmodel . . . . . . . . . . . . . . . . . . . . . . . . . 131 6.2.2 Randomsurfaceflawpopulationmodel . . . . . . . . . . . . . . . . 132 6.3 Recommendationsfordesign . . . . . . . . . . . . . . . . . . . . . . . . . . 133 6.4 Testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 6.4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 6.4.2 Determinationofsurfaceconditionparameters . . . . . . . . . . . . 137 6.4.3 Obtainingstrengthdatafordesignflaws . . . . . . . . . . . . . . . . 138 6.5 Overviewofmathematicalrelationships . . . . . . . . . . . . . . . . . . . 140 7 Glass Connections 143 7.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 7.2 Mechanicalfixings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 7.2.1 Linearlysupportedglazing . . . . . . . . . . . . . . . . . . . . . . . . 144 7.2.2 Clampedandfriction-gripfixings . . . . . . . . . . . . . . . . . . . . 145 7.2.3 Boltedsupports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 7.3 Gluedconnections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 7.3.1 General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 7.3.2 Structuralsiliconesealantconnections . . . . . . . . . . . . . . . . . 156 7.3.3 Rigidadhesiveconnections . . . . . . . . . . . . . . . . . . . . . . . . 160 7.4 Recentdevelopmentsandtrends . . . . . . . . . . . . . . . . . . . . . . . . 164 7.4.1 Increasingthepost-breakagestructuralcapacitywithfabricembeds 164 7.4.2 Increasingthepost-breakagestructuralcapacitywithnewgeome- tries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 7.4.3 Highcapacityadhesiveconnections . . . . . . . . . . . . . . . . . . . 166 8 Special Topics 169 8.1 Designassistedbytesting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 8.1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 8.1.2 Post-breakagestructuralcapacity . . . . . . . . . . . . . . . . . . . . 170 8.1.3 Impacttesting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170 8.1.4 Testingconnections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172 8.2 Diagnosticinterpretationofglassfailures . . . . . . . . . . . . . . . . . . 172 8.2.1 Qualitativeanalysisoffailedarchitecturalglass . . . . . . . . . . . 174 8.2.2 Quantitativeanalysisoffailedarchitecturalglass. . . . . . . . . . . 175 A Notation, Abbreviations 177 B Glossary of Terms 183 C Statistical Fundamentals 194 References 199 Index 211 Chapter 1 Material Thistexthasbeencompiledincollaborationwiththefollowingexperts: Prof.Dr.JensSchneider 1.1 Production 1.1.1 Productionofflatglass Figure1.1givesanoverviewofthemostcommonglassproductionprocesses,processing methodsandglassproducts. Themainproductionstepsarealwayssimilar: meltingat ◦ ◦ ◦ 1600–1800 C,formingat800–1600 Candcoolingat100–800 C. Natural Cullet ingredients Melting (20%) (80%) ction Drawing Blowing Pressing Floating Craoslltiinngg, Edexftirbarcattiioonn, u d Pro Cooling Cooling Cooling Cooling Cooling Cooling Grinding, Grinding, Grinding, drilling,coating, Processing Printing dcroillploiemnoutglcerisi,hlnthciignnion,ggaga,,t,cinidg dcroilllpoiemnoutglecri,sihlnthciignnoin,ggaga,,t,icnigd, saltaenbpmmderinipnbndetlaaiinrntsiignngti,gg,n,,g, drillGipbnrergiinnn,ddtciniionngagg,t,ing, coHmsahrpdareepnsinisngingg,, engraving engraving mirroring,acid etching Products Goplatiscfsiabltruegblaesss, gwlHaalsoargsleblleo,aoswdsr,asrgilteanolsamkryisnpsgs, blloencGkslsea,sss,scgerlsea,esnss fagWclaasfisndtusrderu,nocmgiwttluuairrrasreaosnlredss,, bFllogacltakgsfsilsea,,lscdgsosl,oacksaisnsgt ftGieblxraetwsisleso,owsgtllooaonslse, Figure1.1: Glassproductionprocessesandproductsoverview. 1

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