ML17258A562

Containment Vessel Evaluation.

ML17258A562
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Site:	Ginna
Issue date:	02/01/1982
From:	FULTON J F, HSIEH S GILBERT/COMMONWEALTH, INC. (FORMERLY GILBERT ASSOCIAT
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February1,1982ROBERTE.GINNANUCLEARPOWERPLANTCONTAINMENTVESSELEVALUATIONbyJ.F.FultonS.S.HsiehPREPAREDFORROCHESTERGASANDELECTRICCORPORATIONPREPAREDBYGILBERT/COMMONWEALTHREADING,PENNSYLVANIAQberC/Commonwealth82022400858202i8PDR-ADOCK05000244,P;,;.";*.PDR,'.'"

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TABLEOFCONTENTSSECTIONTITLEPAGEIVVIINTRODUCTIONOBJECTIVESLINERANDCONCRETESTRESSESSTUDANALYSISCONCLUSIONSDECEMBER,1981SMAREPORTREFERENCESTABLESFIGURES1012151618QbertICommonweatth LISTOFTABLESTABLETITLEPAGEComparisonofLinerandConcreteStressesfromG/CandSMAAnalyses16MaximumStudForceandStudDisplacement17LISTOFFIGURESFIGURETITLEGinnaContainmentStructurePAGE18AccidentPressureLoadTransientintheContainment19AccidentTemperatureTransientintheContainment20AccidentTemperatureDistributionintheSteelLiner21MeridionalStressesinLinerforTaCircumferentialStressesinLinerforTa2223MeridionalStressesatInnerSurfaceofConcreteforTa24CircumferentialStressesatInnerSurfaceofConcreteforTa2510MeridionalStressesinLinerforPaCircumferentialStressesinLinerforPa2627MeridionalStressesinLinerforPa+Ta2812CircumferentialStressesinLinerforPa+Ta2913TheModelandResultsofStudAnalysis3014StudForce-DisplacementRelationship31Gilbert/Comeewealth

I.INTRODUCTIONAspartoftheSystematicEvaluationProgram(SEP),StructuralMechanicsAssociates,Inc.(SMA)insupportofLawrenceLivermoreNationalLaboratory(LLNL)performedanevaluationtodeterminethecapacityoftheQianaContainmenttowithstandcombinedseismicandLOCAloadconditions.ThisevaluationisreportedinReferencel.Inthiswork,concernswereexpressedregardingthelinerandconcretestressesintheregionofthedomewherelinerinsulationterminates(seecontainmentconfigurationinFigure1).Analysisresultsfromthereportindicatethataccidenttemperatureswoulddevelophighlinercompressivestressesintheuninsulateddomeregionandrelativelylowlinerstressesbehindtheinsulation.Sincethelinerinthedomeisanchoredtoconcretebyheadedanchors(studs),thisdifferenceinlinercompressivestresseswouldproduceashearforceinthestudsattheinsulationterminationinterface.ThemainconcernexpressedinReference1concentratedonwhetherthesestudsareabletowithstandthisinducedshearforce.InReference1(page18)thefollowingwasconcluded:."Basedonashearcapacityperstudofapproximately,16.5ksi,theforcedevelopedinthebuckledlinerexceedsthecapacityofshearstuds."Gilbert/Commonwealth(G/C)wasrequestedbyRochesterGasandElectricCorporation(RG&E)toreviewandevaluateReference1.TheresultingpreliminaryG/CevaluationappearsinReference2.PartofthisevaluationaddressedthedifferencesbetweentheaccidentpressureandtemperaturecurvesoftheSMAreportversusthosefromtheGinnaFSAR.Thesedifferencesaresummarizedbelow:1.TheaccidentpressurecurveusedinSMAreportisdifferentfromthatpresentedintheFSAR.AttachedFigure2showsacomparisonbetweentheSMAreportpressurecurveandtheDoubleEnded(D.E.)breakpressurecurveappearinginFSARFigure14.3.4.2.Thepeakvaluesfrombothcurvesareaboutthesame:68.5psia(53.8psig)fromSMAand67.2psia(52.5psig)fromtheFSAR.TheFSARcurveEQbertICommonwealth 1*TI decaysmorerapidlythantheSMAcurve.Asanexample,at5minutesintotheaccidenttheFSARvalueisabout56.5psia(41.8psig)comparedwiththeSMAvalueof65psia(50.3psig).Thepeakpressuresfromboththe'MAcurveandtheFSARcurvearelessthantheGinnaDesignPressureof60psig.Theeffectonlinerstresses(basedonanuncrackedconcretemodel)ofdifferencesbetweentheSMAandFSARpressurecurvesisnotverysignificant.Reference1givesavalueofdomelinerstressof4ksitensionresultingfromthe53.8psigpeakaccidentpressure.Thisissmallrelativetothe56ksilinercompressivestresswhichisproducedbythepeakaccidenttemperatureof285oF,asreportedbySMA.2.TheSMAaccidenttemperaturecurveisdifferentfromthetemperatureswhichwouldbeassociatedwiththeFSARD.E.breakpressures.ThislattertemperaturecurvewascalculatedbyG/CandisbasedonthesaturatedsteamtemperaturefortheD.E.breakpressure,assumingthatthecontainmentpressureisequaltothesumofthevaporpressureandtheairpressure.AcomparisonofthetwocurvesisshowninFigure3.Similartothepressurecase,bothcurvesexhibitaboutthesamepeakvalues:280oF(FSAR)and285oF(SMA).However,theFSARcurve,decaysmorerapidly.IntheheattransferanalysisperformedbySMA,thefilmcoefficientwasnotused.Thisisexpectedtoproduceconservativelyhightemperatureandcorrespondinglyhighcompressivestressesintheliner.G/Cperformedaheattransferanalysis(Reference4)incorporatingafilmcoefficientandtheresultingmaximumlinertemperaturewas.250oFatapproximately5minutesafteraLOCA.TheSMAanalysisincorporatedatemperatureinthelinerof285F.GilbetIComeoawealth I4l.ilLe',CI"~4 Reference2alsoaddressedtheconclusionsintheSMAreport(Reference1)regardingtheintegrityofthestuds.First,thestudcapacityof16.5ksigiveninthereportdidnotappearinthereferencequoted*.Thisreference(Table15)givesashearcapacityof16.56kipsfora5/8inchdiameterstudand23.86kipsfora3/4inchdiameterstud.TheremayhavebeenanerrorintheSMAreportinthatthevaluewasintendedtobe16.5~kis.However,thisvalueappliesto5/8inchdiameterstuds,but3/4.inchdiameterstudswereusedforthedomelinerbasedontheavailableinformation.Also,thereportdidnotindicatewhetheraliner-studinteractionanalysiswasperformed.TheconclusionsintheSMAreportareapparentlybasedontheconservativeassumptionthatasinglestudwouldcarryal1oftheunbalancedlinerforcegeneratedattheinsulationterminationinterface.Inreality,Reference2pointsout,aseriesofstudswoulddeforminresponsetotheunbalancedforcewhichwouldredistributethelinerstressesandresultsinamuchreducedvalueforthemaximumstudforce.Becauseofthedifferencesintheloadsdiscussedinitems1and2aboveandduetothequestionsregardingthestudintegrity,G/CperformedtheanalysesoutlinedinSectionII.TheresultsandconclusionsoftheseanalysesarepresentedinSectionsIII,IV,andV.ComparisonsaremadewiththeSMAresultsinReference1~Subsequenttothiswork,onJanuary15,1982G/CreceivedforevaluationaseconddraftoftheSMAreport(Reference9).TherearesignificantdifferencesbetweenthetwoSMAreportdraftsregardingthemagnitudesoftheaccidentpressureandtemperatureloads.Alsothepossiblelinerandstudintegrityproblemsidentifiedinthefirstdraft(Reference1)weresustained.SectionVIaddressestheseitems.*"EmbedmentPropertiesofHeadedStuds",TRWNelsonStudDivision,1977.

~'t II.OBJECTIVESAtRG6E'Srequest,G/Cperformedanindependentanalysisincludingthefollowingitems:A.ObtainlinerandconcretestressesforaccidenttemperatureandaccidentpressureconditionsusingtheinformationpresentedintheFSAR.Comparetheresultswi:ththeSMAanalysisresultsinReferencel.B.Conductaliner-studinteractionanalysistoevaluatethestudintegrity.ThisanalysiswillusetheSMAbucklingandpostbucklinglinercapacitiesinconjunctionwithbothSMAandG/Clinerstresses.QbertICommonwealth 0A III.LINERANDCONCRETESTRESSESThestressesinthelinerandconcretewerecalculatedbythecomputerprogramKSHELl(Reference3),whichisbasedonsmalldeformation,elasticthinshelltheory.B.ModelInthestressanalysis,thecontainmentwasmodeledasanaxisymmetricshellofrevolutionwithawallthicknessof42.375inchesinthecylinderand30.375inchesinthedome(seeFigurel).Athree-layermodelwasused.Theinnerlayerrepresentsthe0.375inchsteelliner.Themiddleandoutsidelayerscomprisetheconcrete.Themodelwassetupsothatthenon-linearaccidenttemperaturedistributionthroughtheshellthicknesscouldbeapproximatedbyspecifyingtheappropriatethermalconductivitiesineachlayer.Theboundaryconditionsatthebaseofthecylinderweretakenasspringsupportedintheradialdirectionwithnomeridionalmomentresistance.Nomovementwasallowedintheverticaldirectionattheshellbase.Theradialstiffnessoftensionrodswhichattachthecylindertothebaseslabwascalculatedtobe48.33kips/in./in.C.Loadsl.AccidentTemeratureInordertodeterminethemostseveretemperaturedistributionintheshellwall,G/Cconductedaheattransferanalysis(Reference4)consideringthefilmcoefficienteffect.Figure4showspartoftheanalysisresults.ItindicatesthattheuninsulatedsteellinerwouldreachapeakQbertICommonwealth

~i~temperatureof250oFatabout5minutesintotheaccident.Accordingly,theassociatedtemperaturedistributioninthewallatthistimewasusedinthestressanalysis.2.AccidentPressureThepeakpressuredoesnotoccurconcurrentlywiththepeakaccide'nttemperature.Sincethelinerstressistensileforpressureloadsandcompressivefortemperatureloads,consideringpeakvaluesconcurrentlydoesnotproducethemostseverelinerstressforthecombinedaccidentpressureandaccidenttemperaturecase.Therefore,thepressurevaluecorrespondingtothemaximumtemperature(5minutesintotheaccident)isdeterminedtobe56.5psia(41.8psig)fromtheD.E.breakpressurecurveprovidedinFSARFigure14.3.4.2,andthiswasusedinthelinerstressanalysis.D.ResultsFigures5to12providethecurveswhichcompareG/CandSMAresultsforlinerandconcretestresses.Itisseenthatthetrendsoftheresultsareverysimilartoeachother.However,therearedifferencesinvalues.Generally,G/Cobtainedcomparativelylowerstresses.ThisisexpectedsincethepressureandtemperaturevaluesusedintheG/CanalysisarelessthanthoseusedintheSMAanalysis.Table1liststhevaluesofthemeridionalandcircumferential(hoop)stressesfordifferentlocationsandloadingcases.,Fromthetable,thecompressivestressintheuninsulateddomelinerforcombinedaccidenttemperatureandaccidentpressureloadsis42.7ksiwhichisabout20XlessthantheSMAvalueof52.1ksi.Themaximumconcretestressis4.2ksicompressionfromtheG/Canalysisversus6.0ksicompressionfromtheSMAanalysis.GlbertICommonweate

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IV.STUDANALYSISInthecontainmentstressanalysis,therearetwoassumptionsinvolvedwhichresultinconservativelyhighvaluesforthelinercompressivestress.First,theconcreteisassumedtoremainuncrackedduringaccidentloading.Inreality,domeconcretecrackingoccurredundertheSITpressureof69psig,andadditionaldomecrackingisexpectedtooccurundertheaccidentloadcombination.Thisgivesaneffectivestiffnessofthereinforcedconcretewhichissomewhatlessthanitsuncrackedvalue.This,inturn,produceslessrestraintontheliner,whichSresultsinlowercompressivestressinthelinerundertheaccidenttemperaturecondition.Also,ithasbeencalculatedthatalinerpanelbucklesataround25.5ksi(Reference1,p.18)andthendevelopsamaximumpost-bucklingstressof29ksi.Hence,thelinerstressislimitedbythisvalue.FromtheG/CresultsinFigures5and6,theminimumcompressivestressinthelinerbehindtheinsulationfortheaccidenttemperatureconditionis1.6ksicompression.Theunbalancedlinerstressintheregionis29-1.6=27.4ksi,andthisdevelopsasignificantshearforceactingattheinsulationterminationinterface.Theunbalancedforceistransmittedtothelinerandstudsbehindtheinsulation.Theshearforceanddisplacementdevelopedinthestudslargelydependonthevalueofunbalancedlinerstresses,thematerialpropertiesoflinerandthecharacteristicsofstudforce-displacementrelationship.Basedontheequilibriumandcompatibilityrelationsateachstud,asetofsimultaneousequationsarederived,fromwhichthestuddisplacementsandforcesaresolvedbyiterationonthestuddisplacements(Reference5).SttcrtICommonwealth I~qtI~+5I'l B.ModelThestud-linerstructureisrepresentedbyasimplifiedonedimensionalsystemasshowninFigure13.Thewidthofthelinerpanelistakentobe24inches,whichisthestudspacing.Oneendofthelinerisfixedapproximately16feetfromthebuckledpanel,whichisthelocation.ofembeddedchannelsattheshellspringline(seeFigure1).Attheotherendaforceexistswhichcorrespondstothepost-bucklingstress29ksi.Thisconditionresultsinmovementofthestudsintheadjacentpanelswiththelargestdisplacementoccurringadjacenttothepanelwherepost-buckledstressisapplied(Studf11).ThesteellinerisrepresentedasalinearelasticmaterialwithYoung'smodulusE~29,000ksi.Theforce-displacementrelationshipforthestudsisobtainedfromtheexperimentalresultsprovidedinReference6.Fromthisreference,theforce-displacementrelationshipcanberepresentedbytheempiricalequationQ=Qu(1-e18A)2/>(seeFigure14)~InthisequationAisthestuddisplacement;Qisthecorrespondingstudforce;andQuistheultimatestudcapacitywhichiscalculatedtobe31.1kipsfromEquation(3)ofReference6fora3/4inchdiameterheadedstud.C.LoadsUsingthepost-bucklingstressof29ksifromtheSMAreport,threedifferentinitialstresscasesfortheinsulatedlinerportionareinvestigated:(1)8ksi,whichisthevalueusedintheSMAreportfortheaccidenttemperaturecondition,(2)1.6ksi,whichistheG/Cresultfortheaccidenttemperaturecondition,and(3)avaryinglinerpanelstressforthePa+Tacondition(G/Cresults)whichrepresentsthecalculatedvariation'inpanelstressstartingattheendoftheinsulationandextendingtowardthespringline.Qberc/Commonwealth

~~k-r D.ResultsFigure13presentsthecomparisonofthestudanalysisresultscorrespondingtothreeinitialstresscases.ThemaximumstudforceandstuddisplacementforeachcasearelistedinTable2alongwiththeultimatestudcapacityandtheallowablestuddisplacement.TheallowabledisplacementofastudislimitedbyTableCC-3730-1oftheASMECode(Reference7)to50Xofitsultimatedisplacementfordisplacementlimitedloads.Theloadonthestudsunderconsiderationareclassifiedasdisplacementlimitedloadssincetheyareprimarilyduetotheaccidenttemperaturecondition.Avalueof0.30incheswasusedfortheultimatedisplacementofthe3/4inchdiameterby3inchlongstudsspecifiedforthedomeliner.ThisvalueisbasedonthetestresultspresentedinReference8.Therefore,anallowabledisplacementof0.15inchesappearsinTable2.ItisnotedthatthemaximumstuddisplacementsforallthreecasesarewithintheCodeallowable.Amongthem,thecaseof1.6ksiinitiallinerstresshasthegreatestvaluesforstuddisplacement(0.098inches)andforce(28.9kips).Qbert/Commonwealth I./tit V.CONCLUSIONSA.Forthelinerandconcretestesses,thetrendoftheresultsfromtheG/CandtheSMAanalysesissimilar;however,themagnitudeofthestressesfromtheG/Canalysisislower.TheG/Canalysisusedanaccidentpressure-timehistoryfromtheFSARalongwiththeassociatedaccidenttemperature-timehistory.IntheSMAreportnew-timehistoriesappearforthesetwoconditions.ThereissomedifferencebetweentheG/CandSMApressureandtemperatureprofiles.However,thesignificantdifferencesinthelinerstressesoccursprimarilybecauseafilmcoefficientwasusedintheG/Cheattransferanalysis,butitwasnotincludedintheSMAanalysis.Thus,eventhoughthepeakairtemperatureunderaccidentconditionisapproximatelythesamefromboththeG/C(280oF)andtheSMA(285F)analyses,alowerlinerandconcretetemperaturesresultedfromtheG/Canalysis.TheeffectofthatisG/Cobtainedamaximumlinerstressofapproximately48ksicompressionversustheSMAvalueofapproximately58ksi(Figure6).Alsoamaximumcompressiveconcretestressofapproximately4900psiresultedfromtheG/Canalysisversus6800psifromSMA(Figure8)~Thedifferenceof10ksiinlinerstressisnotsignificantbecausethisstressislimitedbythebucklingstrengthofapproximately26ksi.TheG/Cconcretestressislessthanthe5000psidesignstrength.TheSMAvalueof6800psiisconservativelyhighduetotheabsenceofafilmcoefficientintheheattransferanalysis.B.TheconclusionsoftheSMAreportregardingthestructuralintegrityofthestudsandthelinerarenotvalidbecausetheanalysisneglectstheinteractionofthestudsandthelinerintransmittingtheforceinthebuckledpanel.ThemorerealisticstudanalysisperformedbyG/CindicatesthatthestuddisplacementsandforcesarewithinacceptablelimitsusingeitherG/CorSMAlinerstresses.Themaximumstudforceof28.9kipsislessthanitsultimatecapacityof31.1kips,andthemaximumstudQberticommonwealth10 I

displacementis0.098incheswhichiswithintheASMEallowableof0.15inches.Therefore,itisconcludedthatstudintegrityismaintainedunderaccidenttemperatureandaccidentpressureconditions.QberLICommonwealth I)'Cwt

~)VI.DECEMBER1981SMAREPORTTheaccidentpressure'ndtemperature-timehistoriesintheDecember,1981draftoftheSMAreport(Reference9)aresignificantlydifferentfromthoseappearinginthepreviousdraftdatedAugust,1981(Reference1).ThepeakvaluesarecomparedbelowalongwiththeG/Cvaluesreportedherein.~RecrtPeakPaPeakAirTaPaMax.LinerTaPa(lMax.LinerTaTaTime(psia)TimeTaTime(psia)(cF)(Secs)~(si)(Secs)(cF)(Secs)~(si)SMADecember,1981(Ref.9)4173586.294267380(71.5)69(54.3)SMAAugust,1981(Ref.1)G/C28560-15068.5120(53.8)2806-10067.210(52.5)Used120285oF25030068.5(53.8)56.5(41.8)IThepeak-airtemperaturereportedinReference9hasincreasedto417Fversus285FfromReference1and280oFcalculatedbyG/C.However,thenewmaximumlinertemperatureof267oFisintheneighborhoodofthe285oFand250Fvaluesusedintheanalysesdiscussedherein.Thepeakaccidentpressureof71.5,psigfromReference9issignificantlygreaterthanboththe53.8psigvaluefrompreviousSMA'reportdraftandthepeakvalueof52.5psigfromFigure14.3.4-2intheFSAR.The71.5psigpressureexceedstheDesignBasisAccidentPressureof60psig.However,thecontainmentstructureisdesignedfor90psiginternalpressuresimultaneouswithaccidenttemperatureasspecifiedbyloadcombination(a)appearinginSection5.1.2.3oftheFSAR.Gilbeet/Commonwealth12 Theeffectoncontainmentintegrityoftheincreasedaccidentpressure,temperature,andseismicloadsisevaluatedforFSARloadcombination(c)inReference9.Theconclusionoftheevaluationarethatinthecylinderanddomeportionsofthecontainment,thelinerandconcretestressesareacceptable.Inthebaseknuckleregionofthecylinderamaximumshearstressof21ksiisreported,,whichexceedslocallyacode(unspecified)allowableof19.2ksiforthe32ksiminimumyieldstrengthlinerusedforGinna.The,'SMA'reportconcludesthat"yieldingofthelinerintheknucklemaypossiblyoccurinaverylocalizedarea".However,thisconclusiondoesnotseemtofollowfromtheresultsinlightofthefact19.2ksirepresentstheallowableshearstressandnotthevaluecorrespondingtotheonsetofyield.Nevertheless,the32ksiyieldstrengthisaminimumspecifiedvalue,andtheactualvaluesforlinerplatemaaterialarehistoricallymuchgreater.Thereportconcludesthatthesafetyfactoris1.0againstseismicoverturning(ofthecontainmentshell)~Actually,Figure5-7inthereportshowsthatunderD+SSE+Pathecompressivestressatthebaseofthewallisnearlyzero.However,thereisadditionalresistancetooverturningprovidedbythetendons,whichshouldbeconsideredinthestabilityanalysis.Theconcernexpressedinthepreviousdra'ftoftheSMAreportregardinglinerandstudintegrityattheinsulationterminationinterfaceinthedomestillexists.However,thisconcernisnotwarrantedforthesamereasondiscussedinSectionIVherein;namely,theunbalancedlinerforcecausedbypanelbucklingmustbeconsideredinaliner-studinteractionanalysis.Itisextremelyconservativetoassumethattheunbalancedforceisentirelyresistedbyonestudoracircumferentiallineofstudslocatedatthisinterface.TheinteractionanalysisperformedbyG/Cisdiscussedintheprevioussections.ThereitisconcludedthatusingeitherthelinerstressesfromtheSMAanalysis(Ref.1)orthoseobtainedbyG/C,thestuddisplacementsarewithintheASMECodeacceptancelimits.Themaximumstuddisplacementfrom theinteractionanalysiswas0.098incheswhichiswithinitsallowablevalueof0.15inches.Thisvalueofstuddisplacementcamefromaninitialstressof1.6ksicompressionforallthepanelsbehindtheinsulationandforastressinthebuckledpanelof29ksicompression.ThesevaluescanbecomparedwiththosenowreportedbySMAinReference9whichare5.8ksicompressionfortheinsulatedpanelsadjacenttothebuckledpaneland25.6ksicompressionforthebuckledpanel.-Fromthiscomparisonitisseen'thataninitialunbalancedpanelstressof27.4ksiexistsfortheinteractionanalysisperformedpreviouslyversus19.8ksifromReference9.Thisimbalancecanbeusedasacomparativemeasureoftheresultingstuddisplacements,i.e.agreaterstuddisplacementwillbeproducedbytheconditionwiththegreaterinitialstressimbalance.Therefore,byinspection,thepanelstressesresultingfromtherevisedSMAreport(Reference9)willproducestuddisplacementslessthanthoseobtainedpreviouslyfromtheinteractionanalysis,whichwereacceptable.Gtbert/Commonwealth14 REFERENCES1."SystematicEvaluationProgramforRobert'E.GinnaNuclearPowerPlantCombinedLoadsEvaluation",preparedforLawrenceLivermoreNationalLaboratorybyStructuralMechanicsAssociates,August,1981.2."ReviewofCombinedLoadsEvaluationReport"byGilbert/Commonwealthle'tter13N1-GR-T3387,November,1981.3."ComputerProgramfortheStressAnalysisofAxisymmetricThin,ElasticShells"byArtursKalnins,1976.4."HEATING5-AnIBM360HeatConductionProgram",CodeDocumentation,W.D.Turner,D.C.Elrod,andI.I.Siman-Tov,UnionCarbideCorp.,NuclearDivision.5."SomeStructuralConsiderationsintheDesignofNuclearContainmentLiners"byJ.M.Doyle,NuclearEnineerinandDesin,Volume16(1971),pp.294-300,1971.6."ShearStrengthofStudConnectionsinLightweightandNormalWeightConcrete"byJ.G.Ollgaard,R.G.SlutterandJ.W.Fisher,AISCEnineerinJournal,pp.55-64,April,1971.7.ASMEBoilerandPressureVesselCodeSectionIII-Division2,"CodeforConcreteReactorVesselsandContainments",1980Edition.8."DesignData-NelsonConcreteAnchor",TRWreport.9."SystematicEvaluationProgramforRobertE.GinnaNuclearPowerPlantCombinedLoadsEvaluation",preparedforLawrenceLivermoreNationalLaboratorybyStructuralMechanicsAssociates,December,1981.SlbertICommonwea!th15

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~~~1TABLE1COMPARISONOFLINERANDCONCRETESTRESSESFROMG/CANDSMAANALYSESLocationLoadCaseMeridional(ksi)~Hoo(ksi)G/CMeridional(ksi)~Hoo(ksi)CylinderConcrete:InnerSurface(SectionA-A)Pressure(Pa)*Temperature(Ta)Pa+Ta+0.4-0.9-0.5+0.8-0.9-0.1+0.3-0.6-0.3+0.6-0.6-0.0DomeConcrete:InnerSurface(SectionB-B)Pressure(Pa)*Temperature(Ta)Pa+Ta+0.5-6.5-6.0+0.5-6.4-5.9+0.4-4.6-4.2+0.4-4.6-4.2CylinderSteelLiner(SectionA-A)Pressure(Pa)Temperature(Ta)Pa+Ta+2.4-8.0-5.6+5.2-8.0-2.8+2.1-4.0-1.9+4'-4.30.2DomeSteelLiner(SectionB-B)Pressure(Pa)Temperature(Ta)Pa+Ta+3.9-56.0-52.1+4.0-56.0-52.0+3'-46.0-42.7+3.3-46.0-42.7*NotshownonfiguresSignConvention:-Compressivestresses+TensilestressesQbertICemmonwealth16 TABLE2MAXIMUMSTUDFORCEANDSTUDDISPLACEMENTBUCKLEDPANELSTRESS=29ksiINITIALSTRESSINLINERBEHINDINSULATION8ksiforTa(SMA)1.6ksiforTa(G/c)VaryingLinerStressforTa+Pa(Glc)Max.StudForceUltimateStudCapacityMax.StudDisplacementAllowableStudDisplacement26.8kips31.1kips0.065in.0.15in.28.9kips31.1kips0.098in.0.15in.28.4kips31.1kips0.088in.0.15in.QbertICommonwcatth17

~0 GilbertAssociates,Inc.Reading,PnnnaylitsninANALYSIS/CALCULATIONSUBJECQimmeLi~EA.REVa0MICROFILMEDORIGINATORg5Q/gDATEfgf/$CI6IPAGE3OFPAGES4$QyunACO<Vpi~HEu75rR<<7O~EiIa~taaila4IC5'feel,,LineraIP0'aIa'aaaWIp~o'-..aaEtHO.al0IiI~SprijLi'ne~'IPYCZnSVICL*iorI'aiIatItt1~aIl630bCOD.04CatIH-/8-PROPRIETARYINFORMATIONOFGILBERTASSOCIATES,INC.FORINTERNALUSEONLYGAI446II78 t(~)/'/a'~:/I~IA/~g///////)c/s/D:I:5/P.cCjap4K.70.$g-;ps88p>>ci67-2ps~a=;pg.gp>>Cr60I'16gps,'g($'03P&l))SMARepave'=l03-256..gps/a(y.g.8ps,~)I,50II!7~/IR40;IIIII(!30.201000.110100oo100010,000100,000TIME(SECONDS)FIGURE2..ACCIDENTPRESSURELOADTRANSIENTINTHECONTAINMENT

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