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toProgressiveCollapse

DANethercota

aDepartmentofCivilandEnvironmentalEngineering,ImperialCollegeLondon

Abstract:

Itisrarenowadaysfora“newtopic”toemergewithintherelativelymaturefieldofStructuralEngineering.Progressivecollapse-or,moreparticularly,understandingthemechanicsofthephenomenonanddevelopingsuitablewaystoaccommodateitsconsiderationwithinournormalframeworksforstructuraldesign-canbesoregarded.BeginningwithillustrationsdrawnfromaroundtheworldoverseveraldecadesandculminatinginthehighlypublicWTCcollapses,thosefeaturesessentialforarepresentativetreatmentareidentifiedandearlydesignapproachesarereviewed.Morerecentworkisthenreported,concentratingondevelopmentsofthepastsevenyearsatImperialCollegeLondon,whereacomprehensiveapproachcapableofbeingimplementedonavarietyoflevelsandsuitablefordirectusebydesignershasbeenunderdevelopment.Illustrativeresultsareusedtoassistinidentifyingsomeofthekeygoverningfeatures,toshowhowquantitativecomparisonsbetweendifferentarrangementsmaynowbemadeandtoillustratetheinappropriatenessofsomepreviousdesignconceptsasawayofdirectlyimprovingresistancetoprogressivecollapse.

2011PublishedbyElsevierLtd.

Keywords:

Compositestructures;

ProgressiveCollapse;

Robustness;

Steelstructures;

Structuraldesign

1.Introduction

Overtimevariousdifferentstructuraldesignphilosophieshavebeenproposed,theirevolutionarynaturereflecting:

*Growingconcerntoensureadequateperformance.

*Improvedscientificknowledgeofbehaviour.

*Enhancedabilitytomovefromcraftbasedtosciencebasedandthusfromprescriptivetoquantitativelyjustifiedapproaches

Thiscanbetracedthroughconceptssuchas:

permissiblestress,ultimatestrength,limitstatesandperformancebased.Asclients,usersandthegeneralpublichavebecomeincreasinglysophisticatedandthusmoredemandingintheirexpectations,soitbecamenecessaryfordesignerstocoveraneverincreasingnumberandrangeofstructuralissues–mostlythroughconsiderationofthe“reachingthisconditionwouldbetoagreaterorlesserextentunacceptable”approach.Thereforeissuesnotpreviouslyconsidered(oronlyallowedforinanimplicit,essentiallycopyingpastsatisfactoryperformance,way)startedtorequireexplicitattentionintheformof:

anassessmentofdemand,modellingbehaviourandidentificationofsuitablefailurecriteria.Thetreatmentoftopicssuchasfatigue,fireresistance,durabilityandserviceabilitycanallbeseentohavefollowedthispattern.

Totakeaspecificexample:

designingadequatefireresistanceintosteelframedbuildingsbegan(oncetheneedhadbeenrecognised)withsimpleprescriptiverulesforconcreteencasementofvulnerablemembersbutithas,inrecentyears,evolvedintoasophisticateddisciplineoffireengineering,concernedwithfireloading,theprovisionofprotectivesystemssuchassprinklers,calculationofresponseintheeventofafireandtheabilitytomakequantitativecomparisonsbetweenalternativestructuralarrangements.Notonlyhasthisledtoobviouseconomicbenefitsinthesenseofnotprovidingfireprotectionwhereitgaveonlynegligiblebenefit,ithasalsoledtoincreasedfiresafetythroughbetterunderstandingofthegoverningprinciplesandtheabilitytoactintelligentlyindesigningsuitablearrangementsbasedonaproperassessmentofneed.

PriortotheRonanPointcollapseinLondonin1968thetermsrobustness,progressivecollapse,

disproportionatecollapseetc.,werenotpartofStructuralEngineeringvocabulary.Theconsequencesofthedamagedonetothat22storeyblockofpre-castconcreteapartmentsbyaverymodestgasexplosiononthe18thfloorledtonewprovisionsintheUKBuildingRegulations,outlawingformanyyearsofsocalledsystembuiltschemes,demolitionofseveralcompletedbuildings,temporaryremovalofgasinhighriseconstructionandtheformationoftheStandingCommitteeonStructuralSafety.Eventually,thebenefitsofproperlyengineeredpre-fabricationwererecognised,safemethodsfortheinstallationofgasweredevisedandtheindustrymovedon.However,thestructuraldesignguidanceproducedatthattime-thatstillunderpinsmuchpresentdayprovision-wasessentiallyprescriptiveinnaturewithnoreallinktoactualperformance.

SubsequentincidencesofprogressivecollapsesuchastheMurraghBuildingandtheWorldTradeCentrebroughtincreasedattentiontotheactualphenomenonandissuesofhowitmightreasonablybetakenintoaccountforthosestructuraldesignswhereitwasconsideredappropriate.Indoingthisitis,ofcourse,essentialtoincludeboththeriskofatriggeringincidentandtheconsequencesofafailuresothattheresultingmoreonerousstructuraldemandsareusedappropriately.Arguably,adisproportionateresponseintermsofrequiringcostlyadditionalprovisionsincaseswheretherisks/consequencesareverylow/veryminormaybeasharmfulasfailingtoaddressthosecaseswheretherisks/consequencesarehigh/severe.

ThispaperwillreviewcurrentapproachestodesigntoresistprogressivecollapseandcontrastthesewithworkundertakenoverthepastsevenyearsatImperialCollegeLondon,wherethegoalhasbeentheprovisionofarealisticallybasedmethodsuitableforuseinroutinedesign.Theessentialfeaturesofthemethodwillbepresented,itsuseonseveralexamplesdescribedandresultspresentedtoillustratehowitisleadingtoabetterunderstandingofboththemechanicsofprogressivecollapseandthewaysinwhichstructuralengineerscanbestconfiguretheirstructuressoastoprovideenhancedresistance

2.Designtoresistprogressivecollapse

Thetwomostfrequentlyuseddesignapproachesintendedtoaddresstheissueofprogressivecollapseare:

*Providingtyingcapacity

*Checkingalternateloadpaths

Figure1:

TieForcesinaFrameStructure

Thefirstisessentiallyprescriptiveandconsistsofensuringthatbeams,columns,connectionsandfloor(orroof)canacttogethertoprovideaspecifiedminimumlevelofhorizontaltyingresistance;

theactualvaluesrequiredarenormallyrelatedtotheverticalloading.Figure1,whichistakenfromrecentUSGuidance(SEI2010),illustratestheprinciple.Theapproachissimpletoappreciate,requiresminimalstructuralcalculationand,insituationswheretheoriginalprovisionsarefoundtobeinadequate,canbemadetoworkbyprovidingmoresubstantialconnectionsand/oradditionalreinforcementinfloorslabsInaninterestingrecentdevelopment,thatrecognizesthelinktothegenerationofcatenaryaction,USGuidancehasrestrictedtheuseoftyingbetweenthestructuralmemberstosituationsinwhichitcanbedemonstratedthattheassociatedconnectionscancarrytherequiredforceswhilstundergoingrotationsof0.2radiance.Wherethisisnotpossible,tyingshouldactthroughthefloorsandtheroof.However,recentstudies(Nethercotetal2010a;

Nethercotetal2010b)havesuggestedthattyingcapacitycorrelatespoorlywithactualresistancetoprogressivecollapse.Moreover,beingprescriptive,itdoesnotpermitthemeaningfulcomparisonofalternativearrangements-afundamentalfeatureofstructuraldesign.

Initsmostfrequentlyusedformthealternativeloadpathapproachpresumestheinstantaneouslossofasinglecolumnandthenrequiresthattheabilityoftheresultingdamagedstructuretobridgethelossbedemonstratedbysuitablecalculation(GudmundssonandIzzuddin2010).Theapproachmaybeimplementedatvaryinglevelsofsophisticationintermsoftheanalysis;

forexample,recentthinkingintheUnitedStates(SEI2010)makesprovisionforanyof:

linearstatic,non-linearstaticornon-lineardynamicanalysisandprovidessomeguidanceontheuseofeach.Itmayalsobeusedasthebasisformoresophisticatednumericalstudiesofparticularstructuresandparticularincidentse.g.forensicwork;

thebestofthese–whicharelikelytobecomputationallyverydemanding–havedemonstratedtheirabilitytocloselyreplicateactualobservedbehaviour.

3.Essentialfeaturesofprogressivecollapse

Threefeatureshavepreviously(Nethercot2010)beingidentifiedasessentialcomponentsofanyreasonablyrealisticapproachtodesignagainstprogressivecollapse:

*Eventstakeplaceoveraveryshorttimescaleandtheactualfailureisthereforedynamic.

*Itinvolvesgrossdeformations,generatinglargestrains,leadingtoinelasticbehaviouraswellaschangeofgeometryeffects.

*Failureessentiallycorrespondstoaninabilityofthestructureinitsdamagedstatetoadoptanewpositionofequilibriumwithoutseparationofkeyelements.

Figure2:

Simplifiedmulti-levelapproachforprogressivecollapseassessment

Additionalfeatures,designedtomaketheapproachattractiveforusebypracticingEngineershavealsobeenproposed(Nethercot2010):

*Processshouldconsistofaseriesofstepsbroadlysimilarinconcepttothoseusedfor“conventional”structuraldesign.

*Itshould,preferably,becapableofimplementationatavarietyatlevelsofcomplexity–withthechoicereflectingtheimportanceofthestructure.

*Anyrequiredanalysisshouldutilisefamiliartechniques;

wheretheserequirecomputationsbeyond“handmethods”,theseshouldbebasedontheuseofavailableanalysissoftware.

*Arealisticandrecognisablecriterionoffailureshouldbeused.

*Approachshouldpermitstudyofcauseandeffectandbesuitableforthemaking

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