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{{#Wiki_filter:IjIPBBMfNllClSAR%MTECHNOLOGIESBNT-20697-2(11/B9)(BNNP.20697.1)CALCULATIONSUMMARYSHEET(CSS)DOCUMENTIDENTIFIER32-1235127"02TITLFStressesforSt.LucieUnit2,PzrLEFM4100533PREPAREDBY:T.M.WierREVIENEOBY:A.M.MillerSIGNATURETITLEEnr.IIICOSTCENTERREF.PAGE(S)SIGNATURETITEEnr.IV,7//9s-TMSTATEMENT:REVIEllERINDEPENDENCEPURPOSEANDSUMMARYOFRESULTS:ThepurposeofthisdocumentistodetermineenvelopingNormal,UpsetandEmergencyConditionstressesforthesix1"instrumentationnozzlesintheupperandlowersphericalregionsinthepressurizeratSt.LucieUnit2.Resultsfromthisdocumentwereusedasinputtothefracturemechanicsevaluation,Reference[7].ThestressresultsaresummarizedinTables6.1through6.15inSection6.0.Noconclusionsaredrawnby,thesecalculations.**BWNTNon-Proprietary**Thisdocumentconsistsofpages1through51including20a,33aand33b.THEFOLLONINGCOMPUTERCODESHAVEBEENUSEDINTHISDOCUMENT:CODE/VERSION/REVCODE/VERSION/REVTHISDOCUMENTCONTAINSASSUMPTIONSTHATMUSTBEVERIFIEDPRIORTOUSEONSAFETY-RELATEDISRK'75081'00'l84'950802'.PDRADOCk0500038'PQPDRYES()NO(X)PAGE1oF51 tie'at)
{{#Wiki_filter:IjIPBBMfNllClSAR%MTECHNOLOGIES BNT-20697-2 (11/B9)(BNNP.20697.1)
IBRANUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127<<02RECORDOFREVISIONSRevisionNumber0PagesAdded/ChanchedAllAllDescritionOriginalissueIssueofNon-ProprietaryVersionRemovedassumption5.CorrectedYoung'smodulusofbasematerial.Modulususedintheanalysisofpreviousrevisionswascorrect,butreportedincorrectlyinthistable.8-40CorrectedequationforK,.Performedtheanalysisforonlythesphericalregionwithcorrectedhillsidestressconcentrationfactorandactualthickness.Newmodelcoversallnozzlesintheupperandlowersphericalregions.Replacedwithpages8through50.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:2 BaWNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-021.0Introduction2.0Assumptions3.0DesignInput3.1DesignCharacteristics3.2MaterialProperties3.3ModelGeometry4.0FiniteElementModel5.0ThermalAnalysis6.0StressAnalysis7.0ANSYS5.0AVerification8.0References9.0Microfiche45568101120484950PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:3
CALCULATION SUMMARYSHEET(CSS)DOCUMENTIDENTIFIER 32-1235127" 02TITLFStressesforSt.LucieUnit2,PzrLEFM4100533PREPAREDBY:T.M.WierREVIENEOBY:A.M.MillerSIGNATURE TITLEEnr.IIICOSTCENTERREF.PAGE(S)SIGNATURE TITEEnr.IV,7//9s-TMSTATEMENT:
REVIEllER INDEPENDENCE PURPOSEANDSUMMARYOFRESULTS:Thepurposeofthisdocumentistodetermine enveloping Normal,UpsetandEmergency Condition stressesforthesix1"instrumentation nozzlesintheupperandlowerspherical regionsinthepressurizer atSt.LucieUnit2.Resultsfromthisdocumentwereusedasinputtothefracturemechanics evaluation, Reference
[7].Thestressresultsaresummarized inTables6.1through6.15inSection6.0.Noconclusions aredrawnby,thesecalculations.
**BWNTNon-Proprietary
**Thisdocumentconsistsofpages1through51including 20a,33aand33b.THEFOLLONING COMPUTERCODESHAVEBEENUSEDINTHISDOCUMENT:
CODE/VERSION/REVCODE/VERSION/REVTHISDOCUMENTCONTAINSASSUMPTIONS THATMUSTBEVERIFIEDPRIORTOUSEONSAFETY-RELATED ISRK'75081'00'l84
'950802'.PDRADOCk0500038'P QPDRYES()NO(X)PAGE1oF51 tie'at)
IBRANUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127<<02 RECORDOFREVISIONS RevisionNumber0PagesAdded/ChanchedAllAllDescritionOriginalissueIssueofNon-Proprietary VersionRemovedassumption 5.Corrected Young'smodulusofbasematerial.
Modulususedintheanalysisofpreviousrevisions wascorrect,butreportedincorrectly inthistable.8-40Corrected equationforK,.Performed theanalysisforonlythespherical regionwithcorrected hillsidestressconcentration factorandactualthickness.
Newmodelcoversallnozzlesintheupperandlowerspherical regions.Replacedwithpages8through50.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:2 BaWNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02


B&W'UCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-021.0IntroductionDuringthe1994refuelingoutage,externalleakagewasidentifiedatthepressurizerinstrumentnozzle"C"ofFloridaPower&LightCompany'sSt.LucieUnit2.SubsequentNDEidentifiedindicationsontheJ-weldsforallfoursteamspaceinstrumentnozzles.Modificationsweremadeandjustificationsperformedtodeterminethepotentialforcrackgrowthduringplantoperation.Theevaluationperformedatthetimewasconservativelylimitedtoonecyclebasedonthedesigninformationavailable.Thepurposeofthisanalysisistoprovidestressanalysisinputforaboundingfracturemechanicsflawevaluationsothatitisapplicabletoallsixinstrument/temperature1"nozzlesinthesphericalregionsofthepressurizer.IResultsfromthisdocumentareusedasinputtothefracturemechanicsevaluation,Reference[7].Theresultsarepresentedinthecoordinatesystemshowninfigure6.2,whichisorthogonaltothepostulatedflaw,asrequiredbyReference[7].ThecomponentstressesalongapostulatedflawplaneshowninFigure6.2weredeterminedusingANSYS'5.0Afiniteelementsoftware.2.0Assumptions1)MaterialpropertiesforSA-240,Type304wereassumedforthestainlesssteelcladdingonthepressurizerheadsandshell.2)Theeffectsofthenozzlewereneglectedindeterminingtheshell/headstresses(i.e.thenozzlewasomittedfromthefiniteelementmodel).3)ThehTbetweenthecladdingsurfacetemperatureandthebulkfluidtemperaturewasassumedtobe15'Fforcalculatingthenaturalconvectionheattransfercoefficient.4)Pipingloadsontheinstrumentation/temperaturesensingnozzlesproducenegligiblestressesonthepressurizershell/head.5)'Removed)6)Hydrotestwasassumedtobeshophydrotestonly.Therefore,nofuturehydrotestsareassumedtooccur.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:4 BEcT4NUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-023.0DesignInput3.1DesignCharacteristicsThefollowingdesignparametersforthepressurizerweretakenfromReference[8].Heatup'CooldownOperatingPressureOperatingTemperatureMinimumPressure(ReactorTriptransient)MaximumPressure(AbnormalLossofLoadtransient)100F/hr200F/hr2250psia653F1740psia(653-616'FhT)2400psia(664-614'FhT)PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:5 B&kNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-023.2MaterialPropertiesThissectionsummarizesthematerialpropertiesusedinthethermal/stressanalysis.ThematerialtypescomefromReferences[8-10]andassumption1.Referencesforthematerialpropertiesaregiveninthetablesbelow.Thematerialpropertydesignationandunitsare:KXX-thermalconductivity,btu/(hr-in-'F)DENS-density,lb/in'-specificheat,btu/(lb-'F)CisacalculatedvaluebasedonC=KXX/(DENSxThermalDiffusivity)wherethermaldiffusivityistakenfromthesamesourceasKXXEX-Young'sModulus,psix10'LPX-coefficientofthermalexpansion,in/in/'Fx10'm-designstressintensity,ksiSy-yieldstrength,ksiSu-ultimatestrength,ksiv-Poisson'sratio=.3forallmaterialsPRESSURIZERHEADSANDSHELLSA-533GR-BCL-1,LowAlloySteel(Mn-.SMo-.5Ni)TEMPDENSEXALPXSySu100200300400500600700REF.28391.8833.1079~28311.9500.1139.28231.9833.1196.28171.9833.1257.28091.9583.1323.28021.9167.1389.27941.8583.1448.329.028.528.027.427.026.425.37.0626.750'7.2526.747.57.4326.746.17.5826.745.17.7026.744.S7.8326.743.87.9426.743.180.080.080.080.080.080.080.0PreparedBy:-T.M.WierReviewedBy:A.M.MillerDate:Date:Page:6 I0I4'811 BEDNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02HEADANDSHELLCLADDING304STAINLESSSTEEL,SA-240ASSUMED(18Cr-8Ni)TEMP100200300400500DENS.2862.2853.2844.2836.2827.7250.7750.8167~8667~9083EX.115728.1.120927.6.124627.0.128626.5.131325.8ALPX8.558.799.009.199.37Sy20'30.020'25.020.022.518.720.717.519.4Su75.071.066.064.463.5600700REF.2818.2810.9417.9833.133425.3.135824.89.539.6916.418.263.516.017.763.5PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:7
==1.0 Introduction==
2.0Assumptions 3.0DesignInput3.1DesignCharacteristics 3.2MaterialProperties 3.3ModelGeometry4.0FiniteElementModel5.0ThermalAnalysis6.0StressAnalysis7.0ANSYS5.0AVerification


BOWNUCLEARTECHNOLOGIES**BWNTNON-PROPRXETARY**32-1235127-023.3ModelGeometryThemodelisaxisymmetricwiththeaxisofrotationatthecenterofthepenetration,asifthepenetrationwaslocatedradially.Boththebasemetalandthecladdingarerepresentedthermallyandmechanically(seeFigure3.1).RClo,clcllng(LpDRNazFigure3.1ModelGeometryThecladdingandbasemetalthicknesses,T~~andT,~,respectively,andthepenetrationradius,RNozcomefromReferences[10]and[12].TheradiusR,isnottheactualradiustothebasemetalbutismodifiedasdiscussedlatertoaccountforhillsideeffects.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:8
==8.0 References==
9.0Microfiche 45568101120484950PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:3


B&WNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02ThedimensionsinFigure3.1aboveasusedintheanalysisare:R,=1.52(487/16)=73.63in.(1.52=hillsidestressfactor)R=11/16=0.6875in.T~~=7/32=0.219in.T,~,=37/8=3.875in.Themodelwasbuiltsuchthatthehoopstresswasincreasedbyanappropriatevaluetoaccountforthehillside(non-radial)penetrationswhicharenotinherentinanaxisymmetricmodel.Thisincreasewasaccomplishedbyincreasingtheradiustothebasemetal(R,)byanappropriatefactorK,calculatedlater.Asufficientportionoftheheadwasmodeledtoattenuatethestressconcentrationeffectsatnozzlepenetration(discussedinSection4.0).HillsideEffectPenetrationsinthesphericalheadsexperienceincreasedstressduetothehillsideeffectoftheskewedpenetration.FromRef.[4,p.'337],thefollowingstressconcentrationfactorwascalculatedforthehillsideeffect.ThemaximumstressconcentrationwaspresentattheinstrumentnozzlesinthelowerheadwhereP(theanglebetweenthepenetrationcenterlineandthenormaltothehead)wasamaximum.sin'(24.5625/48.21875)=30.62~K,=K,(1+2sin'$)Refs.[9&10]Ref.[4,p.337]Kr=Kr(1+2sin'0.62o)1,52K,Where:,K,=radialnozzlestressconcentrationfactorK,=non-radialnozzlestressconcentrationfactorP=angletheaxisofthenozzlemakeswiththenormaltothevesselwallPreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:9 IB&WNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**'2-1235127-024.0FiniteElementModelANSYS5.0Afiniteelementsoftware,Reference[6],wasusedtoperformtheaxisymmetricthermalandstressanalysesofthenozzlepenetrationinthesphericalregions.Themodelextendsawayfromthepenetrationfarenoughthattheincreaseinstressduetothepenetrationisnotpresentattheboundary."Thiswillinsurethatanyinaccuraciesatthelocationofboundaryconditionapplicationwillnotaffecttheresultsatthepenetration.JTheheadandcladdingweremodeledusingaxisymmetricelementsPLANE42forthestructuralandPLANE55forthethermal.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:10 BEclNUCLEARTECHNOLOGIES**BWNTNON-PROPRXETARY**32-1235127-025.0ThermalAnalysisThetransientsinRef.[8]werereviewedforthoselikelytoproducemaximumtensilestressontheinsidesurfaceofthepressurizer(conservativeforthefracturemechanicsanalysisinReference[7]).Basedonthereview,thefollowingtransientswereevaluatedinthisanalysis:100'F/hrHeatup,200'F/hrCooldown,aboundingUpsetConditiontransientwhichwasrepresentedasa53'FStep-down(pressure=1740psia)anda53FStep-up(pressure=2400psia),andLossofSecondaryPressure.TheHeatup,Step-down,Step-upandCooldowntransientswerecombinedintoonecomputerrun(microficheSPHTHERM.OUT)with"Heatupfrom70'Fto653'F(rampedover5.83hours,thenheldconstantuntilt=7.0hours),53'FStep-down(instantaneouslydroppedatt=7.0hrs,thenheldfor1.0hour),53'FStep-up(instantaneouslyraisedatt=8.0,thenheldfor1hour)andCooldownfrom653'Fto70'F(rampedover2.915hoursstartingatt=9.0hours,thenheldconstantuntilt=13.0hours)~TheLossofSecondaryPressuretransientconsistsofastepdecreaseto504Fwhichisthenrampedto348Foverthenext90secondsatwhichtime4itisheldconstantouttot=0.50hours.ThethermalresultsarecontainedinmicroficheSPHTHLP.OUT.Thermalconditionswereimposedonthefiniteelementmodelasappliedheattransfercoefficientsandbulkfluidtemperatures.HeattransferwasassumedtooccuratonlytheinsidesurfaceofthepressurizerasshowninFigure5.1.Allothersurfaces,includingthepenetrationsurface,wereassumedtobeinsulated.Aconstantheattransfercoefficientwasusedtosimplifytheanalysisinaconservativemanner.SinceoverestimatingthetensilestressesattheinsidesurfaceofthepressurizerwasconservativeforthefracturemechanicsanalysisinReference[7],theheattransfercoefficientwasselectedtoresultinconservativelyhightensilestressesontheinsidesurfaceofthepressurizer.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:11 B&WNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32"1235127-02DuringHeatupandtheStep-uptransients,heatingoftheinsidesurfacecausescompressionontheinsidesurfaceofthepressurizer.Therefore,useofalowheattransfercoefficientresultsinconservative(tensile)stresses.Conversely,duringCooldownandtheStep-downtransient,ahighheattransfercoefficientresultsinconservative(tensile)stresses.Therefore,nozzlesinthesteamspacewereconservativelyrepresentedusingheattransfercoefficientsinthewaterspace(i.e.forheating,condensingsteamcoefficientsaregreaterthannaturalconvectioncoefficientsinthewaterspaceandforcooling,naturalconvectionsteamcoefficientsarelessthannaturalconvectioncoefficientsinthewaterspace).ZnthecaseoftheStepDownandLossofSecondaryPressuretransients,however,boilingmayoccur,raisingtheheattransfercoefficientsignificantly.The-heattransfercorrelationsinRef.[2]werereviewedforhorizontal'andverticalplates.Thecorrelationforahorizontalheatingplate,faceup(T>Tco)wasselectedasarepresentativeheattransfercoefficientforthenozzlesinthewaterspace.HORIZONTALPLATE,NATURALCO1VVECTION,TURBULENTREGIMEST~yg650FIASSUME15FIT11H=(hT)K4~Kt;=(15)(.17)(1100)=461HR-FT2-oFH=3HRIN2oFFortheStepDowntransient,whereboilingcanoccur,theheattransfercoefficientcomesfromTable2.2ofRef.[11].Themaximumcoefficientisconservativelyused.H=10,000(BTU/ft'r.P)=70(BTU/in.'r.'F)TheresultsofthethermalanalyseswerereviewedusingtheANSYSPOST26postprocessortodeterminetimeswhentheradialhT'soccurred.ThePreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:12 BOWNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02temperaturesasfunctionoftimeatthebasemetal-to-claddinginterfaceandattheouterradiusofthepressurizershellareplottedinFigure5.2.TheradialdTisshowninfigure5.3.ThetemperaturedistributionattimesofextremehT'swereusedtoloadthestructuresincetheextremehT'sresultedinextremethermalstresses.ForCooldown,othertimepointswerealsoconsideredsincethepressureatthetimeofmaximumhTissignificantlylowerthanatearliertimeswherethetTisalmostaslarge.Steadystatetemperaturecaseswerealsorunat653'F/2250psigwithoutmaterialdiscontinuityeffects(T,=T<<=653'F)andat-653'F/2400psigwithmaterialdiscontinuityeffects(T,=70'F).Table5.1summarizethecriticaltransienttimesandidentifiestheassociatedpressuresforeachmodel.ThelocationofnodepairusedforevaluationofthehT'swasthesamenodepairusedforthestresspathinSection6.0andisshowninFigure6.1andthePOST26resultsarecontainedattheendofthethermalrunsinthemicroficheinSection9.0.NotethatalthoughthenodepairusedforevaluatingtheradialhTwasata45'nglethroughtheshellwall,itwasrepresentativeoftheradialgradientsincetheheattransferisonedimensionalintheradialdirection(i.e.,theentireinsidesurfaceisisothermalandtheentireoutsidesurfaceisothermal).PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:13 fl BAHNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02TABLE5.1CRITICALTRANSIENTTIMESTRANSIENTTRANSIENTTIME(HR)PRESSURE(PSIG)Heatup5.832,250Step-down7.06671,740Step-up8.06672,400SteadyState'.0002,400Cooldown'.29151,4729.40811I2329.816260711.915SteadyState'/A2,250LossofSecondaryPressure0.0100.0153102100.0201850.063116'Thepressurewasassumedtoequalthesaturationpressureofthesteamatthecurrentfluidtemperature.'Includesmaterialdiscontinuitytemperatureeffects(T,=70'F).'Excludesmaterialdiscontinuitytemperatureeffects(TfT653F).PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:14 IIIllIeeIlHQISkNOQNHOO+++l88llSQ51115580+++gg'glll8lRHISR550%88++++ggulngaaaiaaaaaaaI1aylll8085REOOSN'I++++gyIllllll!IISQOESH%8++++Illlllllll1%5%%%%%~~~~~IIIIIIIIII)IN5558~+++++Illlllllllll5%88%%%~~~~~lllllllll55%%5555%8++++~IllllllHSIISN5555'8+++gIlllllllllllNERNSI''+++II,gI 0'I~
B&W'UCLEAR TECHNOLOGIES
WW"CANSYS5.0AJUN20199518:44.:10PLOTNO.IPOST26ZV=IDIST=0.75XF=0.5YF=0.5ZF=0.5CENTROIDHIDDENnTEMPTEMP0gI0HW''0lg6~~0010TIME12'6ST.LUCIEPRESSURIZERSPHERICALREGIONIFMPERATURENOZZLEIdMIhlCdUIIhlICOM
**BWNTNON-PROPRIETARY
**32-1235127-02


HaA8OAtid8I~0Q.QC40TOIFFANSYS5.0AJUN20199518:04:10PI.OTNO.2POST26ZV=IDIST=0.75XF=0.5YF=0.5ZF=0.5CENTROIOHIODENRnng0I0H8~~10TIME12ST.I.UCIEPRESSURIZERSPHERICALREGIONTEMPERATURENOZZLE4JIhlVJUlhlIC)h)
==1.0 Introduction==
ANSYS5.0AJUN20I995I7:04:01PI.OTNO.IPOST262V=IOIST=0.~5XF=0.5YF=0.5ZF=0.5CENTROIDHIOOEN<<CTEMPgOI0Ht4TEMP(sIOtt-1)0.52.5TIME3,5ST.lUCIEPRESSURllERSPHERICAlREGIONTEMPERATURENOlllE4JIM4lVlMIC)M
Duringthe1994refueling outage,externalleakagewasidentified atthepressurizer instrument nozzle"C"ofFloridaPower&LightCompany's St.LucieUnit2.Subsequent NDEidentified indications ontheJ-weldsforallfoursteamspaceinstrument nozzles.Modifications weremadeandjustifications performed todetermine thepotential forcrackgrowthduringplantoperation.
~gCDCDCO~~CDRBCD0CDC~8OCl8BaQlQQFLCLB<<CTOIFF[a1044-0ANSZS5.0AJVN20I995Ij:04:07PLOTNO.2POST26LV=I0IST=0.15XF=0.5YF=0.5ZF=0.5CENTROIOIIIOOEN5ng0gI0HWK0.61.62+6TIMEST.I.VCIEPRESSVRILERSPHERICALREGIONTEMPERATUREN022LEGJIkObJUlh)IC)hl B6cWNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-026.0StressAnalysisThetemperaturedistributionsandpressuresatthecriticaltimesinTable5.1wereimposedonthemodeltoobtainthestressesinthepressurizershell.ThepressureboundaryconditionsareshowninFigure6.1.SincethefracturemechanicsevaluationinReference[7]requiresstressesalongtheflawlinethatisapproximately45fromtheaxisofthenozzlepenetration,theANSYSPOST1postprocessorwasusedtotransformthestressesintotheflawlinecoordinatesystemasshowninFigure6.1.Symmetryboundaryconditionswereusedattheedgeofthepressurizerheadtorestricttheheadsmotiontoonlytheradialdirection.Anodalforcewasappliedtotheheadtorepresenttheendcaploaddevelopedatthenozzle(nozzleendcapload=mr'(pressure)=m(.6875)'(pressure)1.4849(pressure)).Thenodalforcewasconservativelyappliedtotheoutsidesurfaceofthemodelsinceitwouldtendtoincreasethetensilestressesinthepressurizershellwhichistheregionofinterest.StressresultsforthegivenmodelarecontainedinthemicroficheofSection9.0.Thestressesalongthe45degreeflawlinearesummarizedforeachtransientanalyzedintheTables6.1through6.13andthefiguresonpages35to47.Theresultsreportedbythefiniteelementmodelhaveaccountedforthestressconcentrationforahillsidepenetrationsubjecttopressurebytheincreaseoftheradiusbyafactorof1.52,however,theincreaseinthermalstressesduetothehillsidepositioningisnotincluded.Fromp.200ofReference[13]thestressconcentrationduetoanellipticalholeinabiaxiallystressedplatewheree,=e,andb/a=1.16,thestressconcentrationshouldbe2.32(say2.4).Themodelispickingupastressconcentrationof2~0fromtheradiallypositionedcircularhole(b/a=1.0)inthemodel.Theincreaseinhoopstressduetothehillsidepositioningwhensubjecttopressurehasbeenincludedbytheincreaseinradius,butthemodelisonlypickinguptheinherentSCFof2.0forthermalstresssincethethermalstressesareessentiallyunaffectedbyradius'hethermalstresses,therefore,mustbeincreasedbyafactorof1.2toaccountforthehillsidepositioning.Thisincreasehasbeenperformedbyseparatingthethermalandpressurestresscomponents,multiplyingthethermalcomponentby1.2,andaddingthepressurecomponentandtheincreasedthermalcomponenttoarriveatthetotalstress.Sincehoopstress(Sz)isdominant,theincreasewillonlybeperformedforthatstresscomponent.Asamplecalculationappearsbelow.Page20ahasbeeninsertedbetween20and21.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:20 B&WNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02ForCooldown-1(Table6.5),atpositionS=0.3360inches:Sz=25288.0Pressurecomponentistakenfromthepressureonlycaseintable6.9.ThispressuremustbemultipliedbytheratioofpressuresSz-press=(P/Ppo)Sz-po(1472/2250)'3235321166psiHence,thethermalcomponentis25288-21166=4122psiThisismultipliedby1.2andthepressurestressisaddedtoarriveatthecorrectedtotalstress.ISz=4122(1.2)+21166=26112.4psiwhichisexactlywhatthetablereports.hTwoadditionaltransients,fluctuationsfromsteadystate,arecalculatedusingtheresultsfromthe53'FStepUpandStepDown.Theyusethemethodabovetoisolatethethermalstressesandapproximatea20'FStepchangebymultiplyingthethermalcomponentbytheratio20/53.'hetransientalsoincludesapressurechangeasdescribedintherelevanttables,6.14and6.15.Notethatthestresses(inpsi)areinthelocalcoordinatesystemofthe45degreeflawlineasshowninFigure6.1and"S"isthedistancefromtheinsidesurface,totheoutsidesurfacealongtheflawline.Notealsothatthefiguresonpages37through47showthestressesnotincludingthe'actorof1.2onthermalstressandareforinformationonly.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:20a P0 B&WNUCLEARTECHNOLOGIESNON-PROPRIETARY**32-1235127-02Table6.1ENDOFHEATUP,P=2250PSIGTHOUTSTRESSESWITHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791'7991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-2539.5-62.51818.22846.53962.34368.85035.55502.65928.86268.76662.06889.87167.57420.07609.07819.57990.38150.18307.78439.38571.58699.68803.18912.09020.49106.79194.09281.59358.49428.89497.79564.29619.09673.29725.59771.39810.29848.69886.59917.69941.39964.79987.510010.010243.010468.010683.010890.011089.0SY-721.5229.6554.0770.82596.53683.54580.25303.15957.66449.96937.17336.47706.58045.68346.28638.48886.69125.09358.49550.69739.59923.210083.010230.010376.010508.010629.010742.010850.010953.011048.011135.011216.011298.011376.011442.011505.011569.011633.011686.011733.011781.011830.011878.011671.011472.011281.011100.010927.0SZ23098.025811.026602.026553.026346.026134.025733.025458.025138.024927.024672.024532.024373.024238.024157.024057.024001.023954'23906.023885.023861.023840.023844.023834.023823.023838.023842.023837.023843.023857'23860.023853.023861.023867.023868.023856.023852.023847.023842'23822.023804.023785'23766.023746.023704.023664.023623'23582.023540.0SZ19234'23322.025004.425393.025538.025564.625332.825185.624974.224844.624661.424584.224479.024392.024356.024297.024277.424265.824251.824260.224265.024272.024302.624316.024328.224366.224391.024404.824429.424462.224481.624488.824511.424531.624545.824544.024550.024555.024559.824546.624534.224520.824507.224492.624451.424412.224372.024331.624290.2PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:21 0
Theevaluation performed atthetimewasconservatively limitedtoonecyclebasedonthedesigninformation available.
~BOWNUCLEARTECHNOLOGIESNON-PROPRIETARY**32-1235127-02Table6.253FSTEPDOWN,P=1740PSIGTHOUTSTRESSESWITHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-3039.0350.33114F14598.95658.25966.26461.36718.86909.57003.07130.57091'7102.17089.27011.96957.86885.66798.56703.76620.46535.16443.16342.56267.66189.86095.06017.05954.05883.05806.95744.05694.75638.05580.45527.85492.65453'5414.15374.25349.55327.85305.85283.75261'5374.05481.85585.25684.05778.2SY2198.32565.52497.12587.34413.05425.96193.76719.77143.27373.57576.97673.87738.37767.77752.57730.67682.37620.57549.27475.07396.67311.87220.27142'7062.36972.06892.96825'6753.76679'6616.36566.56513.36459.56411.26381.76349.96318.06285.96270.96260.26249.46238.46227.36112.26000.55893.25790.25691.4SZ37940.037707.036148.034456.032768.031306.029778.028489.027210.026132.025054.024121.023233.022410'21650.020917.020280.019659.019044.018538.018038.017544.017102.016707.016314.015942.015607.015304.015011.014724.014466.014241.014026.013812.013610.013451.013298.013146.012994.012878.012780.012682.012584.012486.012433.012382.012330.012279.012228.0rSZ38967.839331.538027.736343.334621.933084.831444.130038.628637.327439.326240.725191.324191.923262.322397.621565.220837.620127.019422.818841.518267.517699.617189.216734.816282.915851.915465.415117.114779.014446.914149.613891.613643.713396.913164.612983.512808.312634.412460.312329.512219.012108'11998.211887.911831.411777.011721.511667.111612'PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:22
Thepurposeofthisanalysisistoprovidestressanalysisinputforaboundingfracturemechanics flawevaluation sothatitisapplicable toallsixinstrument/temperature 1"nozzlesinthespherical regionsofthepressurizer.
IResultsfromthisdocumentareusedasinputtothefracturemechanics evaluation, Reference
[7].Theresultsarepresented inthecoordinate systemshowninfigure6.2,whichisorthogonal tothepostulated flaw,asrequiredbyReference
[7].Thecomponent stressesalongapostulated flawplaneshowninFigure6.2weredetermined usingANSYS'5.0A finiteelementsoftware.


BOWNUCLEARTECHNOLOGIESNON-PROPRIETARY**32-1235127-02Table6.353FSTEPUP,P=2400PSIGSTRESSESWITHERMALSTHOUTCFWITH1.2SCFONTHERMALS'0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-2467.-260.1372.2283.3417.3872.4601.5143.5655.6080.6562.6882.7247.7584.7860.8153.8398.8632.8867.9059.9252.9442.9601.9757.9914.10047.10174.10297.10407.10511.10609.10699.10776.10853.10926..10986.11039.11091.11143.11183.11214'1244.11273.11303.11567.11820.12065.12299.12524.SY-1533.7-449.6-23.8227.72023.03125.14062.34851.05585.56168.46753.17256.27729.08170.58575.28969.09309.99642.09970.210240.010507.010768.010998.011206.011412'11602.011775.011931.012080'12226.012356.012472.012582.012691.012795.012878'12959'13040.013121.013186.013242.013300.013358.013416.013182'12956.012741.012536.012341.0SZ18740.022212.023644.024080.024327.024510.024475.024534.024533.024609.024625.024749.024826.024911.025047.025146.025266.025393.025516.025632.025742.025853.025980.026067.026153.026266.026353.026414'26487.026568.026626.026660.026710.026759.026798.026808.026828.026847.026864.026857.026849.026840.026829.026818.026775.026734.026692.026648.026604.0VSZ13439.518493.120993.621994.022710.123229.423453'23719.223902.124125.124275.324521.024704.724886.725115'25299.025493.825694.025888.126063.126231.026398.526578.526709.926840.226997.227122.927217.227323.427437.727524.127581.527655.427728.127788.727814.227849.727884.227916.227919.327919.527918.727915.327912.227870.427830.627789.827746.327703.1PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:23 BOWNUCLEARTECHNOLOGIESNON-PROPRIETARY**32-123S127-02Table6.4STEADYSTATE,Tref70F,Tunif=653F,P=2400PSZGSTRESSESWZTHERMALSTHOUTCFWITH1.2SCF~ONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.3599'3.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-3281.3-156.32331.33706.34926.75382.56081.66551.06969.97285.67651.47839.68076.68285.58425.78587.68709.88819.18924.69008.39092.09170.79225.99290.69354.193.95.09440.39489.09526.99558.09591.29625.89648.79671.09693.29715.39730.79745'9759.99774.19783.59792.69801.39809.710034.010250.010457.010655.010846.0SY478.11203.21373.31568.83540.34706.35658.26399.57059.47534.57999.48361.18690.78984.49233.49473.29667.69849.910025.010163.010297.010424.010528.010625.010720.010799.010873.010942.011005.011064.011119.011170.011217.011263'11308.011349.011387.011425.011463.011499.011532.011565.011598.011632.011427.011229.011039.010858.010686.0SZ32074.033605.033377.032639.031826.031127.030290.029651.028985.028484.027950.027560.027167.026816.026529.026233.026000.025779.025560.025391.025221.025055.024923.024791.024658.024553.024448.024343.024250.024166.024081.023996.023926.023855.023784.023715.023656.023595.023535.023475.023423.023370.023317.023264.023211.023160.023108.023056.023003.0SZ29440.332164.732673.232264.831708.931169.830431.429859.629244.528775.128265.327894.227513.927172.726893.626603.426374.626157.225940.925773.925605.825440.925310.125178.725046.224941.624836.924732.024639.024555.324470.124384.724314.624243.324171.924102.624043.323981.823921.423860.923808.323754.723700.923647'23593.623541.823489.023435.923381.9PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:24, pl BOWNUCLEARTECHNOLOGIESNON-PROPRIETARY**32-1235127-02Table6.5COOLDOWN-1,Psat=1472PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200'2400'3600.44800.56000'7200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192~46392'7592.68792.79992.91193.02393.13593.24793'5993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-1570.8702.62447.13354.64226.84436.04868.45119.25317.25449.65622.65649.75725.65782.75783.95805.35804'5792.65775.25754.85733.25706.45666.75641.55614.45571.25537'5510.85476.85438.15406.75382.45350'5318.35288.75268.95245.05220.75196.05181.15166.95152.35137.55122.45233.35339.65441.35538.65631.5SY738.81302.81350.61419.93004.33871.34536.85025.95432.45688.65928.96087.56218.66322.26391.26452.36485.46508.36524.46523.76519.56510.26489.46470.56449.26418.96390.66365.26335.96303.96275.86252.66226.16199.16174.56158.86141.26123.46105.56097.56091.66085.86080.06074.25960.45850.35744.75643.35546.4SZ24997'26308.026075.025288.024449.023660.022761.022012.021247.020613.019967.019425.018900.018415.017977.017545.017173.016810.016451.016150.015850.015555.015292.015046.014801.014574.014362.014164.013973'13788.013617.013461.013313.013166.013026.012910.012798.012687.012576.012488.012412.012335.012259.012183.012138.012094.012050.012005.011961.0SZ24446.626564.026764'26112.425363.024600.023684.422905.222100.121420.120725.320134.319560.319027'18541.818063.317648.017241.716839.516500.216162.215829.315530.615252.014974.614715.314474.014249.314031'13820.013625.113448.113279.013111.112951.612820.712693.312567.312441.212342.712257.512171.212086.112001.011953.011906.011859'11810.811763.9PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:25 BOWNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02Table6.6COOLDOWN-2,Psat=1232PSIGSTRESSESWITHERMALSTHOUTCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601F00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-1131.7875.92390.73159.73934.44084.54449.94649.14796.94889.05018.95013.35055.35081.05055.05048.35024.14988.44947.64907.24865.64818.84761.54719.24674.74616.04566..94526.34478.84427.14383.44347.84305.74263.04223.54195.64164.24132.54100.34079'4060.84041.74022.34002.74086.84167.24244.14317.54387.4SY694.81231'1265.81310.02771.63553.54141.84566.64911.05116.45305.25419.35507.55570.75602.55626.85627.45618.45602.85574.95543.65507.55462'5421.25377.45326.05278.15234.15187.05137.45093.2.5055.15014.34973.04934.74907.44878.64849.64820.34803.14789'4775.14761.14747'4655.34566.44480.94398.84320.1SZ223952371423554228212203521278204131968018932183021766217114165851609315643152011481514439140661374913435131241284412584123251208111854116431143911240110561089010732105731042310300101811006299439851977296939614953594939451941093699327.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.8.8.7.6.5.3.2.9.6.2.7SZ22229F124267.324476.823842.223114.422359.921458.420678.919875.819187.518486.717878.917290.916741.616235.115738.115301.014874.314450.614088.613730.213374'13052.712754.612457.712175.911914.411672.111436.811206.810994.610804.010621.510437.810264.910124.29987.39850.69714.69610.19520.39430.59340.69250.79205.29160.59115.99071.09026.1PreparedBy:T.M.WierReviewedBy.:A.M.MillerDate:Date:Page:26 BOWNUCLEARTECHNOLOGIESNON-PROPRIETARY**32-1235127-02Table6.7COOLDOWN-3,Psat=607PSIGSTRESSESWITHERMALSTHOUTCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601'0801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX57.31224'2018.22366.12858.62859.83050.53126.03158.03162.93198'3131.73107.03072.62999.82943'2878.42804.72726.32655.42582.92506.12424.42356.72287.12207.92138.32077.22011.61943.21883;21831.91776.81721.21669.21630.51589.81548.81507.51479.41454.91430.21405.11379.81402.81424.51444.81463.81481.5SY340.1817.4840.3825.91898.72429.02801.83058.03246.63334.53406.43426.83426.23408.33369.23323.63265.03199.33128.33054.42978.02898.22815.52738.32659.42576.42499.02427.12353.52278.42210.32149.92088.12025.81967.11922.01876.01829.71783.11750.91723.41695.71668.01640.11601.21563.31526.61490.91456.4SZ13615.015087.015283.014838.014332.013780.013130.012552.011958.011433.010905.010432.09975.59545.69140.78746.98392.88045.07700.27401'7104'6811.36539.76290.46042.45802.15580.85376.75176.24978.04798.04637.44480.04323.04175.04057.43941.53825.93710.53625.03551.63478.23404.93331.83300'3270.23239.73209.33178.8SZ14049'16040.316473.316060.015558.914972.314259.613615.312949.112352.411751.911208.810684.110188.59719.19263.08850.98445.78043.77693'7347.27003.86684.86392.56101.85818.85558.75319.15083.24849.74637.94449.44264.04079.13905.03767.33631.23495.43359.83260.23174.63089.03003'2918.32883'2849'2815'2781'2746'PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:27 BEc'PJNUCLEARTECHNOLOGZES**BWNTNON-PROPRIETARY**32-1235127-02Table6.8ENDOFCOOLDOWN,P=0PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591'6791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-408.5141.8671.7968.21026'1033.01020.8981.6930.7867.3799'721.0642.6562.3477.9393.6312.3228.8143.366F1-12.1-91.5-167.6-237.8-308.9-379.6-445.3-506.3-567.0-627.7-683.1-732.8-781.7-830.7-877.0-913.6-949.7-985.6-1021.5-1047.5-1069.4-1091.2-1112.9-1134.5-1167.0-1198.4-1228.9-1258.4-1286.9SY1474.91166.1945.8890.61004.81048.01063.31041.51003.0943.2876.2794.6710.0621.0526.1430.5335.9238.8139.648.1-44.3-137.8-227.7-310.8-394.5-478.0-555.1-626.1-697.2-768.3-832.4-889.2-946'-1002.9-1056.4-1097.6-1139.1-1180.8-1222.8-1252'-1277.6-1303'-1329.1-1355.2-1335.91317~7-1300.7-1284.9-1270.3SZ9157.47776.06596.75783.75081.04499.23979.73533.73110.82744F92396.62072.21772.01490.21218.1960.1722.8489.4259.456.3-143.6-341.4-529.0-697.9-865.3-1032.6-1184.6-1322.6-1460'-1597.9-1720.8-1828.5-1936.8-2044.5-2144.9-2222'-2299.8-2377'-2453.8-2507.4-2553.4-2599.1-2644.4-2689'-2701.7-2714.0-2726.0-2737.7-2749.0SZ10988.99331.27916.06940.46097.25399.04775.64240.43733'3293.92875.92486.62126.41788.21461.71152.1867.4587.3311.367.6-172.3-409.7-634.8-837.5-1038.4-1239.1-1421.5-1587.1-1752.5-1917.5-2065.0-2194.2-2324.2-2453.4-2573.9-2666.5-2759.8-2852.4-2944.6-3008.9-3064.1-3118.93173~3-3227.3-3242.0-3256.8-3271.2-3285.2-3298.8PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:28
==2.0 Assumptions==
1)Materialproperties forSA-240,Type304wereassumedforthestainless steelcladdingonthepressurizer headsandshell.2)Theeffectsofthenozzlewereneglected indetermining theshell/head stresses(i.e.thenozzlewasomittedfromthefiniteelementmodel).3)ThehTbetweenthecladdingsurfacetemperature andthebulkfluidtemperature wasassumedtobe15'Fforcalculating thenaturalconvection heattransfercoefficient.
4)Pipingloadsontheinstrumentation/temperature sensingnozzlesproducenegligible stressesonthepressurizer shell/head.
5)'Removed) 6)Hydrotest wasassumedtobeshophydrotest only.Therefore, nofuturehydrotests areassumedtooccur.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:4 BEcT4NUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 3.0DesignInput3.1DesignCharacteristics Thefollowing designparameters forthepressurizer weretakenfromReference
[8].Heatup'Cooldown Operating PressureOperating Temperature MinimumPressure(ReactorTriptransient)
MaximumPressure(Abnormal LossofLoadtransient) 100F/hr200F/hr2250psia653F1740psia(653-616'FhT)2400psia(664-614'FhT)PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:5 B&kNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 3.2MaterialProperties Thissectionsummarizes thematerialproperties usedinthethermal/stress analysis.
ThematerialtypescomefromReferences
[8-10]andassumption 1.References forthematerialproperties aregiveninthetablesbelow.Thematerialpropertydesignation andunitsare:KXX-thermalconductivity, btu/(hr-in-'F)
DENS-density,lb/in'-specificheat,btu/(lb-'F)
Cisacalculated valuebasedonC=KXX/(DENS xThermalDiffusivity) wherethermaldiffusivity istakenfromthesamesourceasKXXEX-Young'sModulus,psix10'LPX-coefficient ofthermalexpansion, in/in/'Fx10'm-designstressintensity, ksiSy-yieldstrength, ksiSu-ultimatestrength, ksiv-Poisson's ratio=.3forallmaterials PRESSURIZER HEADSANDSHELLSA-533GR-BCL-1,LowAlloySteel(Mn-.SMo-.5Ni)
TEMPDENSEXALPXSySu100200300400500600700REF.28391.8833.1079~28311.9500.1139.28231.9833.1196.28171.9833.1257.28091.9583.1323.28021.9167.1389.27941.8583.1448.329.028.528.027.427.026.425.37.0626.750'7.2526.747.57.4326.746.17.5826.745.17.7026.744.S7.8326.743.87.9426.743.180.080.080.080.080.080.080.0PreparedBy:-T.M.WierReviewedBy:A.M.MillerDate:Date:Page:6 I0I4'811 BEDNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 HEADANDSHELLCLADDING304STAINLESS STEEL,SA-240ASSUMED(18Cr-8Ni)
TEMP100200300400500DENS.2862.2853.2844.2836.2827.7250.7750.8167~8667~9083EX.115728.1.120927.6.124627.0.128626.5.131325.8ALPX8.558.799.009.199.37Sy20'30.020'25.020.022.518.720.717.519.4Su75.071.066.064.463.5600700REF.2818.2810.9417.9833.133425.3.135824.89.539.6916.418.263.516.017.763.5PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:7


B&rfNUCLEARTECHNOLOGIESNON-PROPRIETARY**32-1235127-02Table6.9PRESSUREONLYATSTEADYSTATE,P=2250PSIGS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192'6392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.3678'4.47984.59184.70384.81584.92785.03985.15185.26385.3758STRESSESWITHERMALSSY3634.13040.12733.22906.63907.94642.95310.35811.86288.16643.56997.37268.27526'7756'7949.98140'8295.28440.18580.38691.68800.08903.58988.19069.09147.89214.19277.19337.59393.09445.29495.89544.99589.49634.09678.49721.59761.69801.99842.49882.69919.79956.99994'SX-6135.0-2413.71029.43102.04040.04710.55309.25736.46146.06428.96710.76914.17103.67266.97397.17526.97623.57714.07803.07867.57932.57995.68043.18091.38139.68175.38210.98246.68276.28301.88327.18351.88369.38386.68403.58418.48429.38440.38451.28460.98467.48474.08480.88487.88682.28869.39049.39222.39388.310031.09862.29698.99542.79393.59251.3WITH1.2SCFONTHERMALSZXXXTHOUTCFSZ42415.038256.034590.032353.030386.028981.027734.026820.025957.025339.024725.024271.023843.023468.023162.022857.022619.022395.022177.022009.021841.021680.021551.021424.021297.021197.021097'20998.020911.020831.020752.020674.020609.020544.0'0479.020416.020362.020307.020253'20199.020153.020106.020060.020013.019967.019923.019878.019834.019789.0PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:29 BRWNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02Table6.10LOSSOFSECONDARYPRESSURE-1,T=0.010,P=310PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMAL0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991'9191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984'3184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX2295.12366.72150.71851.82023.41710.01674.61601.31471.51401.61379.51271.01236.71216.61165.71139.01129.91113.01091.41092.31092.11088.51083.21089.91095.11094.31097.91105.21109.81112.51117.01123.11126.81130'1133.61137.91140'1143.71146.21149.01151'1153.01154'1156.21183.11208.81233.51257'1279.8SY639.7877.6600.6366.11256.91544.11679.31749.71742.71704.81669.71607.21558.61521.01475.21437.61416.21392.71367.51359'1350.81341.91334.91334.51334.01332.51333.01335.71338.01340.01342.51345.81348.81351.81354.81357.71360.51363.31366.21368.71371.01373.51376.01378.61353.11328.51305.01282.61261.2SZ8290.49822.59932.29277.88725.28014.07321.96732.46116.75652.55234.54839.34530.54278.64037.83831.43690.23551.53413.83335.23258.93183.73123.53082.13040.93003.92974.12950.92929.62909.42892.02877.72865.42853.12841.32831.52822.92814.22805.52797.42790.62783.72776.62769.62762.92756.42749.82743.12736'8779.710732.810965.510241.99632'8818.28022.17339.86624.86084.85600.15138.44779.64487.64207.13967.83805.03644.73485.53395.83308.83223.03154.43108.23062.23020.62987.62962.52939.32917.32898.62883.62870.62857.62845.22835.22826.42817.52808.52800.32793.42786.42779.22772.12765.32758.72752.02745.22738.3PreparedBy:ReviewedBy:T.M.WierA.M.MillerDate:Date:Page:30 B&WNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02Table6.11LOSSOFSECONDARYPRESSURE-2,T=0.015,P=210PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX2043.42493.22665.62562.62669.32285.72149.81972.11724.11547.71413.31196.91062.7950.8809.5697.1621.1536.2444.2399.0352.3301.1256.8234.1209.2181.1162.3151.9140.1127'118.8114'110.3105.4101.'2100.199.097.796.396.196.496.797.097.3100.6103.8106.9109'112.7SY2272.82111.61564.21241'2101.12320.22366.12320.92181.82013'1844.71643.31468.11311.01145.5996.8883.2767.5649.5575.3502.5429.5367.4325.8284.4244.0213.5192.7172.5152.8138.6130.4122.6115.0109.0107.7106.4105.2104.1105.2106.8108.4109.9111.4111.7112.0112.2112.4112.6SZ16343.016086.014776.013160.011786.010380.09102.28008.86916.96062.05288.94552.83961.43460.92976.32558.32249.41945.51645.21458.81278.61100.9952.0851.3751.9655.4581.8529.4478.4428.5390.3364.5339.7315.4294.0281.8270.1258'247.7240.7235.3230.1225.2220.6218.2216.0214.0212.2210.5SZ18819.918589.117085.515188.113576.011915.010404.99109.97815.76801.45885.15010.34308.63715.03139.22643'2277.11916.61560.31339.71126.6916.4740.1621.6504.7390.8304.4243.3183.8125'81.051.523.0-5.0-29.5-43.0-56.0-68'-80.8-88.3-93.9-99.2-104.2-108.9-110.9-112.7-114.3-115.7-116.8PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:31 B&QNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02Table6.12LOSSOFSECONDARYPRESSURE-3,T=0.0201P=185PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS.0.00000'1200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384'5584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX1500251132413441354031292930267423342065183015131282107784263948632315146-59-171-269-334-402-471-525-564-603-642-673-695-715-736-756-766-776-786-796-802-806-809-812-815-833-850-866-881-895~4.6.7~3~4.7.9.7.8~4.8.7~4.3~4~4.9.7.2.9.8.7.2.3~4.7.2.0.2.8.9~4.9.9.0.8.6.6.5~4.0~4.6.7.3.0.0.3.8SY3990.93432.72625.12234.23117.23315.13316.53191.92956.42681.62399.92075.11782.91511.11227.6966.7754.3538.5319.3167.317'-133'-264.6-361.1-457.2-551.1-625.5-681.4-735.9-789'-830.6-858.3-885.2-911.7-934.2-944.4-954.5-964.6-974.5-977.5-978.6-979.9-981.5-983.3-960'-938.9-918.3-898.6-880.0SZ26048.023922.021115.018499.016257.014133.012237.010616.09025.27753.36593.25491.74583.33796.43033.32365.01845.61334.5830.2492.8165.6-157.3-435.5-634.4-830.6-1024.3-1175'-1287.7-1398.5-1508.0-1592.8-1651.5-1709.7-1766.9-1816.9-1844.7-1872.4-1899.2-1925.4-1939.9-1950.7-1960.9-1970.5-1979.5-1980.3-1980.8-1980.9-1980.5-1979.6SZ305602807724769216661900816483142281229810403888775056190510741693259246218421233631229-160-545-877-1113-1346-1577-1757-1890-2022-2152-2252-2321-2390-2458-2517-2549-2581-2613-2643-2660-2672-2683-2694-2704-2704-2704-2704-2702-2700.1.3.2.8.7.0.3.2~4.3.3.9.9.8.1.1.8.1.6,4.5~3.0.5.9.7.6.5.1.2.6.8.5.1.04.7.0.5.0.2.7.5.5.7.6~0.8.9IPreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:32 14'I4 BOWNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02Table6.13LOSSOFSECONDARYPRESSURE-4,T=0.063,P=116PSIGS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392'7592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758STRESSESWITHERMALSSY12867.010563.08736.58235.79692.410260.010509.010380.010068.09522.38900.68128.17312.86447.75522.54,587.03659.42707.71733.5844.6-52.4-960.4-1826.9-2613.7-3405.7-4195'-4908.5-5549.2-6188.9-6828.9-7390.7-7869.0-8346.4-8825.3-9269.7-9594.4-9920.7-10249.0-10579.0-10803.0-10991.0-11181.0-11374.0-11569.0-11392.0-11225.0-11069.0-10922.0-10786.0SX-3873.71715.56852.09623.110312.010289.010200.09828.89326.08711.38066.57290.86529.65746.84911.54085.83289.32469.61628.5881.9125.4-644.21377~2-2037.6-2706.6-3375.1.-3980.3-4526.6-5072.1-5617.5-6100.7-6516.6-6926.3-7337.0-7720.7-8008.2-8290.3-8572.2-8854.0-9050.7-9212'-9372.7-9532.7-9692.2-9957.5-10214.0-10463.0-10703.0-10935.0WITH1.2SCFONTHERMALTHOUTCFSZ86107.074667.064405.056957.050389.044855.039860.035555.031453.027886.024484.021310.018359.015582.012897.010351.08015.05714.83445.91468.2-478.9-2406.3-4219.1-5822.0-7411.4-8997.9-10409.0-11656.0-12901.0-14144.0-15224.0-16132.0-17046.0-17954.0-18791.0-19399.0-20012.0-20620.0-21225.0.-21631.0-21973.0-22312.0-22647.0-22979.0-23063'-23147.0-23228.0-23306.0-23382.0VSZ102891.189205.976929.368014'60153.553527.247546.042389.537476.033201.929125.925321.721785.018456.415237.612185.59384.86626.83906.41534.9-799.9-3111.1-5285.1-7207'-9113.3-11016.0-12708.3-14203.7-15696.8-17187.6-18482.8-19571.6-20667.7-21756.6-22760.4-23489'-24224.4-24953.4-25678.8-26165.5-26575.4-26981.7-27383'-27781.2-27881.5-27981.8-28078'ges33aand33bvebeeninsertedtween33and34.Pa-28171.7ha-28262.4bePreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:33 II)4, B&WNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02Table6.14FLUCTUATIONDN-20FSTRESSESWITHOUTTHERMALSCFSTEPDN,100PSIDECREASETO2150PSIGWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391'5591'6791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SZ42469.239620'36599.234476.032533'31049.229644.928551.827496.426679'25865.125211'24592.524033.123543.223064.122665.822282.821906.021603.521303.421010.120757.720524.320291.720085.019892'.219712.119543.819382.419232.619096.018971.718847.818728.418626.618533.018439.218346.018266.318198.818130.618063.117995.017944.417896.017846.517798.017748.9SZmod42857.040233.837308.535188.233233.031720.430273.629136.628035.027172.726312.925615.624954.424354.723825.323308.722876.222459.422048.921718.121390.021068.820790.620534.820280.020051.019838.719641.619456.319277.919113.218964.118827.418691.118560.318450.218348.218246.118144.618059.417987.117914.317842.117769.217717.417667.717616.917567.117516.8PreparedBy:ReviewedBy:T.M.WierA.M.MillerDate:Date:Page:33'.
BOWNUCLEARTECHNOLOGIES
BSWNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02Table6.15FLUCTUATIONUP-20FSTEPUP,100PSIINCREASETO2350PSIGS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184'4384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758STRESSESTHERMALSZ34299.132939.531126.629855.128685.627852.827039.126474.625920.325552.225164.124919.524673.824465.224320.124161'24054.123958'23864.723800.723734.323672.923638'23589.323540.223518.723487.323446.823418.523397.723368.923331.623308.823285.523258.523221.823194.723166.623138.323101.023068.523034.923001.222966.922921.222877.422832.722787.922742.4WITHOUTSCFWITH1'SCFONTHERMALSZmod32298.931536.230126.429068.028075.527369.526653.626167.225682.225369.725032.224833.524628.024456.024345.824219.424140.124071.824005.223963.423918.923878.723863.823831.923799.523794.623777.823749.923734.123725.823707.823679.423665'23651'23632.423601.523580.323558.023535.423501.923472.423442.023411'23379.823334.523291.223247'23202.323157.1PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:33b L)t III~~IIre~I~ssaseeaaamww&w~~~~~zssg~~~~~1>"iiiaRhaYaFaa5%58'8+++pygmy>~lli58(ESS)SHOS+51I+g~yIBBlREISISSSSHggIgg+IBRBE1SQ1OSOSOO++++gggIIIQI8158%E1%00++++ggg8885501115OSN+'+++IIIIIIRIL~0%550%%%%~~~llllllll18(IIIE55SS+g=lilllilaNh%aaaaaaaeeaaalllllll8llh1i5%558++++llllllggllaaraaaaaaaaaIlllllllllllS%585NI+'+++g=IlllllllllSISOEN'1+++'IIIl~~,~I
**BWNTNON-PROPRXETARY
(~104!O211S2ANSTS5.0AJUN21199510:43:39PI.OTNO.POSTISTEP=ISUB=ITIME=IPATHPI.OTNODI=2N002=10&2V=IOIST=0.75XF=0.5YF=0.5ZF=0.5CENTROIOHIOOEN156747egOgI0H474+3201.0-72o150o5371o0751.613ENOOFHEATUP,P=2250PSIG2o152odmDIST3.7634m3014JII4JUlh)IC)
**32-1235127-02 3.3ModelGeometryThemodelisaxisymmetric withtheaxisofrotationatthecenterofthepenetration, asifthepenetration waslocatedradially.
(a10ffoANSTS5.0AJUN21199510:43:44PI.OTNO.2POSTISTEP=2SUB=ITIME=2PATHPI.OTN001=2N002=1082'V=IOIST=0.75XF=0.5YF=0.5ZF=0.5CENTROIOHIOOEN577.2S2STg0gI0HK'58~~219+53300o5371+0751e61353FSTEPOOWN,P=1740PSIG2o152eamDIST~225i.3015+3763o7634e53544MIM4JVlh)IED (a100'211SEANSYS5.0AJUN21199510:43:48PLOTNO.3POSTISTEP=3SUB=ITIME=3PATHPLOTN001=2N002=1082V=IOIST=0.75XF=0.5YF=0.5ZF=0.5CENTROIOHIDDENSYgOgI0H130.6-153+37100+5371a0751.61353FSTEP-UP,P=2400PSIG2m152+666DIST3.7634o3014lh)I4JUlhlIoh) 0
Boththebasemetalandthecladdingarerepresented thermally andmechanically (seeFigure3.1).RClo,clcllng (LpDRNazFigure3.1ModelGeometryThecladdingandbasemetalthicknesses, T~~andT,~,respectively, andthepenetration radius,RNozcomefromReferences
(~10'1)SZANSYS5.0AJUN21199510:43:53PI.OTNO.POSTISTEP=4SUBTIME=%PATHPI,OTN001=2N002=108ZV=IOIST=0.75XF=0.5YF=0.5ZF=0.5CENTROIOHIOOENR.20710mSY0gI014370.047+8051.0752.150+5371+d132Idm302253.7d34.3015o37dEQrtr~~DISTSTEAOYSTATE,TreI=10F,Tunif=653F,P=2400PSIG
[10]and[12].TheradiusR,isnottheactualradiustothebasemetalbutismodifiedasdiscussed latertoaccountforhillsideeffects.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:8  


SScr-4SQSSQW'C'C(~109fl)211ANSYS5.0AJUN211095IO:43:57PI.OTNO.5P05'TISTEP=5SUBTIME=5PATHPI.OTN001=2NOOZ=I08ZV=IOIST=0.75XF=0.5YF=0.5ZF=0.5CENTROIDHIDDENRnneeSSSZg0g0MSY329.5773.baal0Oed371.07d1+613COOlOOWN-I,Psa1=1<72PSIG2old2I665DEST3o763io301o3764)h)IMVlVlhlICIhl (a10991)214191ANSYS5.0AJUN21199510:44:02PLOTNO.6POSTISTEP=6SUB=ITIME=6PATHPI.OTN001=2N002=108ZV=IOIST=0.75XF=0.5YF=0.5ZF=0.5CENTROIOHIDDEN760.06SZ0gI0HSY299.d708~~69.4750Oslo1s0751e615COOI.OOWN.2,Psal=1232PSIG2.152edbbDIST.2254o3015+5765o7654.515bbIhD4JVlIC)h)
B&WNUCLEARTECHNOLOGIES
(a104'ANSYS5.0AJUN21IS95IO:44:06PI.OTNO.7POSTISTEP=7SUB=ITIME=7PATHPI.OTN001=2N002=1082V=IOIST=0.75XF=0.5YF=0.5ZF=0.5CENTROIDHIOOEN7Il.i631~Slg0g0&#xc3;H0a183.SY3io00700.5371a0751+613COOI.OOWN-3,PsaI=607PSIG2o152+6MDIST3.763is3015.376MhPIhPVJUlhPICIhP 91ANSYS5JUN21IO:(4:IPLOTNOPOSTI5I'P=8SUBTIME=8PATHPI.NOD1=2NOD2=10ZV=IDIST=0.XF=0.YF=0.ZF=0.CENTROI.0A1995I8OT75555DHIDDEN-3d7o7svSZ0gI0t(fH14M74900.537lo075lod13ENDOFCOOLDOWN,P=0PSIG2s15DIST302254.3015o3762odb53.7634s63$4Jh)IM4lVlh)IM 8Sr-'d088PAWWzr.8(a1040O424ANSYS5.4AJUN21Icq510:44:15PIOTNO.9POSTISTEP=9SUB=II'ME=9PATHPLOTN001=2NOO2=1002V=I17ISTc0.75XF=0.5YF=0,5ZF=0.5CENTROIOHIOOENn520gI0HWSY670.18~~273.3la01.0752o15OI5371+6133.225ho3010.3762odbb3e763heKRDISTPRESSUREONLYATSTEAOYSTATE,P=2250PSIG4Jh)Ih)GJUlIh)IoM
**BWNTNON-PROPRIETARY
**32-1235127-02 Thedimensions inFigure3.1aboveasusedintheanalysisare:R,=1.52(487/16)=73.63in.(1.52=hillsidestressfactor)R=11/16=0.6875in.T~~=7/32=0.219in.T,~,=37/8=3.875in.Themodelwasbuiltsuchthatthehoopstresswasincreased byanappropriate valuetoaccountforthehillside(non-radial) penetrations whicharenotinherentinanaxisymmetric model.Thisincreasewasaccomplished byincreasing theradiustothebasemetal(R,)byanappropriate factorK,calculated later.Asufficient portionoftheheadwasmodeledtoattenuate thestressconcentration effectsatnozzlepenetration (discussed inSection4.0).HillsideEffectPenetrations inthespherical headsexperience increased stressduetothehillsideeffectoftheskewedpenetration.
FromRef.[4,p.'337],thefollowing stressconcentration factorwascalculated forthehillsideeffect.Themaximumstressconcentration waspresentattheinstrument nozzlesinthelowerheadwhereP(theanglebetweenthepenetration centerline andthenormaltothehead)wasamaximum.sin'(24.5625/48.21875)
=30.62~K,=K,(1+2sin'$)Refs.[9&10]Ref.[4,p.337]Kr=Kr(1+2sin'0.62o)1,52K,Where:,K,=radialnozzlestressconcentration factorK,=non-radial nozzlestressconcentration factorP=angletheaxisofthenozzlemakeswiththenormaltothevesselwallPreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:9 IB&WNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**'2-1235127-02 4.0FiniteElementModelANSYS5.0Afiniteelementsoftware, Reference
[6],wasusedtoperformtheaxisymmetric thermalandstressanalysesofthenozzlepenetration inthespherical regions.Themodelextendsawayfromthepenetration farenoughthattheincreaseinstressduetothepenetration isnotpresentattheboundary.
"Thiswillinsurethatanyinaccuracies atthelocationofboundarycondition application willnotaffecttheresultsatthepenetration.
JTheheadandcladdingweremodeledusingaxisymmetric elementsPLANE42forthestructural andPLANE55forthethermal.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:10 BEclNUCLEARTECHNOLOGIES
**BWNTNON-PROPRXETARY
**32-1235127-02


ANSYS5.0AJUN21199510:44:20PLOTNO.10POSTISTEP=IOSUBTIME=10PAI'HPLOTN001=2N002=108ZV=IDIST=0.15XF=0.5YF=0.5ZF=0.5CENTROIOHIOOEN6151441SZ0gI0HWSY366al30OICP1+075le6132m152+6Mo2254+3015+3763.7IL$4eMdDlSTLOSSOFSECONOARYPRESSURE-I,1=0.010,P=310PSIG4lMIM4JVlhlIEDbJ
==5.0 ThermalAnalysisThetransients==
(~1040O14114ANSYS5.0AJUN21105510:41:24PLOTHO.11POSI'STEP=IISUB=ITIME=IIPAT'NPlOTH001=2H002=108LV=IDIST=0.15XF=0.5YF=0.52F=0.5CENTROIOHIDDENRnn9M.71497.335,1172.S2SYgOgI0HKlg8~~10.4060I5371a0751+6132,153e2254.3015.3762odbb3e7634m535DISTlOSSOFSECOHOARYPRESSURE-2,T=0.015,P=210PSIGLa)IM4JUlh)IM
inRef.[8]werereviewedforthoselikelytoproducemaximumtensilestressontheinsidesurfaceofthepressurizer (conservative forthefracturemechanics analysisinReference
'$41 (s109$O17ANSYS5.0AJUN211995IO:41:29PLOTNO.12POSI'STEP=12SUB=ITIME=12PATHPLOTNOD1=2NOO2=1002V=IOIST=O.)5XF=0.5YF=0.5ZF=0.5CENTROIOHIOOENnnOQH642o73d2o4II2.152STg0gI0HK8~~-19bo0900.5371.075l.dl32olm2odbb3e7d34.3014eESDISTLOSSOFSECONOARZPRESSURE.3,T=0.020,P=185PSIGOo37d4JMIIhl4JUlIIEDh)  
[7]).Basedonthereview,thefollowing transients wereevaluated inthisanalysis:
[I10661)661ANSYS5.0AJUN211995I0:11:33PLOTNO.13POSTISTEP=13SUB=I'TIME=13PATHPI.OI'001=2N002=1082Y=IOISI=0.15XF=0.5YF=0.52F=0.5CENTROIOHIOOEN946o4-146+39-12SYSLgOgI0HPl0.5371+0751o6132o162.666~2264o3613+7634.636,DISTlOSSOfSECONOARYPRESSURE~1,T=0.063,P=116PSIGo3764JMIMVlUlMIM 4BOWNUCLEARTECHNOLOGZES**BWNTNON-PROPRZETARY**32-1235127-027.0ANSYS5.0AVerificationTheANSYSanalysiscode,versionS.OA,wasverifiedusingclosedformsolutionsforhoopstressinasphereandstressconcentrationfactors.Thefollowingcomparisonoffiniteelement(FE)stressresultsandclosedformsolut'nsindicatedthatthesoftwareprovidedaccu.ateresults.Therefore,ANSYS5.0Awasverifiedforthisapplication.FiniteElementResultsfromTableDistanceHooStress0.0(clad/base)42,4152.6879(midbase)21,2975.3758(external)19,789HoopStress(usingthinshelltheory)6.9,Pressure=2250psiaSzpsipsipsie=pr/2tRef.[5,Table28case3a.]e=2250(73.63)/[2(4.094)]=20,233psiComparedto:21g297psi(FE),b%')21297/20233-1)(100%)=5.26%'nd19,789psi(FE),b%')19789/20233-1~(100%')=2.19%'hesepercentdifferencesareattributabletothedifferencesb'etweenthinandthickpressurevesseltheoryandthefactthatatthemidpointofthelinetheremaystillbesomestressconcentrationeffectduetothepenetration.StressConcentrationatHoleSCF=a,,/e,=42415/19789=2.143(FE)kComparedto2.0(fromSect.3.3),h%=]2.14/2.0-1](100%)=7.2%PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:48
100'F/hrHeatup,200'F/hrCooldown, aboundingUpsetCondition transient whichwasrepresented asa53'FStep-down (pressure
'J B&W'UCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-028.0References1)ASMEBoilerandPressureVesselCode,SectionZZI,Division1,Appendices,1986EditionwithnoAddenda.2)BWNSDocumentNo.51-1155656-00,"StandardCorrelationsforNaturalConvection".3)BWNSDocumentNo.NPGD-TM-500,"NPGDMaterialPropertiesProgramUser'sManual",Rev.D,March,1985.4)Harvey,J.F.,"TheoryandDesignofModernPressureVessels",VanNostrandReinholdCo.,NewYork,1974.5)Young,W.C.,"Roark'sFormulasforStress&Strain",6thEditionMcGraw-Hill,NewYork,1989.6)DeSalvo,G.J.andGorman,R.W.,"ANSYSUser'sManualforRevision5.0",1992,SwansonAnalysisSystems,Houston,Pennsylvania.7)BWNTDocument32-1235128-02,"FMAnalysisofSt.LuciePressurizerInstrumentNozzles".8)BWNTDocument38-1210588-00,"PressurizerInstrumentNozzles,FMDesignInput,"forSt.LucieUnit2,dated11/11/94(FP&LNumberJPN-PSLP-94-631,File:PSL-100-14).9)FloridaPower&LightDrawingNo.2998-19321,Rev.0,"TopHeadInstrumentNozzlesRepair".10)FloridaPower&LightDrawingNo.2998-18709,Rev.1,"PressurizerGeneralArrangement".11)Arpaci,V.S.,ConductionHeatTransfer,Adelson-WesleyPublishing,1966.12)*FloridaPowerandLightDrawingNo.2998-18594Rev.0,"PressurizerTopHeadDetailsandAssembly."13)Peterson,R.E.,"StressConcentrationFactors",Wiley&Sons,1974.*Referencesmarkedwithan"asterisk"areretrievablefromtheUtilitiesRecordSystem.AhorizeProjectger'sSignaturePreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:49 BSc't~'UCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-029.0MicroficheThefollowingtablecontainsalistofmicroficheoftheANSYSS.OAcomputeroutput.Thenodesandelementswereidenticalamongallthemodels.FILENAMEFILEDATEDESCRIPTIONSPHTHERM.OUT6/20/95Compositetransientthermalrunsincluding100'F/hrHeatup,53'FStep-down,53'FStep-upand200'F/hrCooldownSPHTHLP.OUTSPHSTRES.OUTMATPROP.MAC6/20/956/21/956/14/95LossofpressurethermalrunStressrunsforallcasesMacrofilecontainingallmaterialpropertydateusedintheanalysis.PRESS.MAC6/15/95MacroforapplyingpressureduringthestressrunsFILMCOEF.MAC6/14/95MacroforapplyingthermalloadsduringthermalrunsPreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:50  
=1740psia)anda53FStep-up(pressure
=2400psia),andLossofSecondary Pressure.
TheHeatup,Step-down, Step-upandCooldowntransients werecombinedintoonecomputerrun(microfiche SPHTHERM.OUT) with"Heatup from70'Fto653'F(rampedover5.83hours,thenheldconstantuntilt=7.0hours),53'FStep-down (instantaneously droppedatt=7.0hrs,thenheldfor1.0hour),53'FStep-up(instantaneously raisedatt=8.0,thenheldfor1hour)andCooldownfrom653'Fto70'F(rampedover2.915hoursstartingatt=9.0hours,thenheldconstantuntilt=13.0hours)~TheLossofSecondary Pressuretransient consistsofastepdecreaseto504Fwhichisthenrampedto348Foverthenext90secondsatwhichtime4itisheldconstantouttot=0.50hours.Thethermalresultsarecontained inmicrofiche SPHTHLP.OUT.
Thermalconditions wereimposedonthefiniteelementmodelasappliedheattransfercoefficients andbulkfluidtemperatures.
Heattransferwasassumedtooccuratonlytheinsidesurfaceofthepressurizer asshowninFigure5.1.Allothersurfaces, including thepenetration surface,wereassumedtobeinsulated.
Aconstantheattransfercoefficient wasusedtosimplifytheanalysisinaconservative manner.Sinceoverestimating thetensilestressesattheinsidesurfaceofthepressurizer wasconservative forthefracturemechanics analysisinReference
[7],theheattransfercoefficient wasselectedtoresultinconservatively hightensilestressesontheinsidesurfaceofthepressurizer.
PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:11 B&WNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32"1235127-02 DuringHeatupandtheStep-uptransients, heatingoftheinsidesurfacecausescompression ontheinsidesurfaceofthepressurizer.
Therefore, useofalowheattransfercoefficient resultsinconservative (tensile) stresses.
Conversely, duringCooldownandtheStep-down transient, ahighheattransfercoefficient resultsinconservative (tensile) stresses.
Therefore, nozzlesinthesteamspacewereconservatively represented usingheattransfercoefficients inthewaterspace(i.e.forheating,condensing steamcoefficients aregreaterthannaturalconvection coefficients inthewaterspaceandforcooling,naturalconvection steamcoefficients arelessthannaturalconvection coefficients inthewaterspace).ZnthecaseoftheStepDownandLossofSecondary Pressuretransients, however,boilingmayoccur,raisingtheheattransfercoefficient significantly.
The-heattransfercorrelations inRef.[2]werereviewedforhorizontal
'andverticalplates.Thecorrelation forahorizontal heatingplate,faceup(T>Tco)wasselectedasarepresentative heattransfercoefficient forthenozzlesinthewaterspace.HORIZONTAL PLATE,NATURALCO1VVECTION, TURBULENT REGIMEST~yg650FIASSUME15FIT11H=(hT)K4~Kt;=(15)(.17)(1100)=461HR-FT2-oF H=3HRIN2oFFortheStepDowntransient, whereboilingcanoccur,theheattransfercoefficient comesfromTable2.2ofRef.[11].Themaximumcoefficient isconservatively used.H=10,000(BTU/ft'r.P)=70(BTU/in.'r.
'F)TheresultsofthethermalanalyseswerereviewedusingtheANSYSPOST26postprocessor todetermine timeswhentheradialhT'soccurred.
ThePreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:12 BOWNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 temperatures asfunctionoftimeatthebasemetal-to-cladding interface andattheouterradiusofthepressurizer shellareplottedinFigure5.2.TheradialdTisshowninfigure5.3.Thetemperature distribution attimesofextremehT'swereusedtoloadthestructure sincetheextremehT'sresultedinextremethermalstresses.
ForCooldown, othertimepointswerealsoconsidered sincethepressureatthetimeofmaximumhTissignificantly lowerthanatearliertimeswherethetTisalmostaslarge.Steadystatetemperature caseswerealsorunat653'F/2250 psigwithoutmaterialdiscontinuity effects(T,=T<<=653'F)andat-653'F/2400psigwithmaterialdiscontinuity effects(T,=70'F).Table5.1summarize thecriticaltransient timesandidentifies theassociated pressures foreachmodel.Thelocationofnodepairusedforevaluation ofthehT'swasthesamenodepairusedforthestresspathinSection6.0andisshowninFigure6.1andthePOST26resultsarecontained attheendofthethermalrunsinthemicrofiche inSection9.0.Notethatalthoughthenodepairusedforevaluating theradialhTwasata45'nglethroughtheshellwall,itwasrepresentative oftheradialgradientsincetheheattransferisonedimensional intheradialdirection (i.e.,theentireinsidesurfaceisisothermal andtheentireoutsidesurfaceisothermal).
PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:13 fl BAHNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 TABLE5.1CRITICALTRANSIENT TIMESTRANSIENT TRANSIENT TIME(HR)PRESSURE(PSIG)Heatup5.832,250Step-down 7.06671,740Step-up8.06672,400SteadyState'.000 2,400Cooldown'.2915 1,4729.40811I2329.816260711.915SteadyState'/A2,250LossofSecondary Pressure0.0100.0153102100.0201850.063116'Thepressurewasassumedtoequalthesaturation pressureofthesteamatthecurrentfluidtemperature.
'Includes materialdiscontinuity temperature effects(T,=70'F).'Excludes materialdiscontinuity temperature effects(TfT653F).PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:14 IIIllIeeIlHQISkNOQNHOO+++
l88llSQ51115580+++
gg'glll8lRHISR550%88++++
ggulngaaaiaaaaaaaI1ay lll8085REOOSN'I++++gy Illllll!IISQOESH%8++++
Illlllllll1%5%%%%%~~~~~
IIIIIIIIII)
IN5558~+++++Illlllllllll5%88%%%~~~~~
lllllllll55%%5555%8++++~
IllllllHSIISN5555'8+++g IlllllllllllNERNSI'
'+++II,gI 0'I~
WW"CANSYS5.0AJUN20199518:44.:10PLOTNO.IPOST26ZV=IDIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIDHIDDENnTEMPTEMP0gI0HW''0lg6~~0010TIME12'6ST.LUCIEPRESSURIZER SPHERICAL REGIONIFMPERATURE NOZZLEIdMIhlCdUIIhlICOM
 
HaA8OAtid8I~0Q.QC40TOIFFANSYS5.0AJUN20199518:04:10PI.OTNO.2POST26ZV=IDIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIOHIODENRnng0I0H8~~10TIME12ST.I.UCIEPRESSURIZER SPHERICAL REGIONTEMPERATURE NOZZLE4JIhlVJUlhlIC)h)
ANSYS5.0AJUN20I995I7:04:01PI.OTNO.IPOST262V=IOIST=0.~5 XF=0.5YF=0.5ZF=0.5CENTROIDHIOOEN<<CTEMPgOI0Ht4TEMP(sIOtt-1)0.52.5TIME3,5ST.lUCIEPRESSURllER SPHERICAl REGIONTEMPERATURE NOlllE4JIM4lVlMIC)M
~gCDCDCO~~CDRBCD0CDC~8OCl8BaQlQQFLCLB<<CTOIFF[a1044-0ANSZS5.0AJVN20I995Ij:04:07PLOTNO.2POST26LV=I0IST=0.15XF=0.5YF=0.5ZF=0.5CENTROIOIIIOOEN5ng0gI0HWK0.61.62+6TIMEST.I.VCIEPRESSVRILER SPHERICAL REGIONTEMPERATURE N022LEGJIkObJUlh)IC)hl B6cWNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02
 
==6.0 StressAnalysisThetemperature==
distributions andpressures atthecriticaltimesinTable5.1wereimposedonthemodeltoobtainthestressesinthepressurizer shell.Thepressureboundaryconditions areshowninFigure6.1.Sincethefracturemechanics evaluation inReference
[7]requiresstressesalongtheflawlinethatisapproximately 45fromtheaxisofthenozzlepenetration, theANSYSPOST1postprocessor wasusedtotransform thestressesintotheflawlinecoordinate systemasshowninFigure6.1.Symmetryboundaryconditions wereusedattheedgeofthepressurizer headtorestricttheheadsmotiontoonlytheradialdirection.
Anodalforcewasappliedtotheheadtorepresent theendcaploaddeveloped atthenozzle(nozzleendcapload=mr'(pressure)
=m(.6875)'(pressure) 1.4849(pressure)).
Thenodalforcewasconservatively appliedtotheoutsidesurfaceofthemodelsinceitwouldtendtoincreasethetensilestressesinthepressurizer shellwhichistheregionofinterest.
Stressresultsforthegivenmodelarecontained inthemicrofiche ofSection9.0.Thestressesalongthe45degreeflawlinearesummarized foreachtransient analyzedintheTables6.1through6.13andthefiguresonpages35to47.Theresultsreportedbythefiniteelementmodelhaveaccounted forthestressconcentration forahillsidepenetration subjecttopressurebytheincreaseoftheradiusbyafactorof1.52,however,theincreaseinthermalstressesduetothehillsidepositioning isnotincluded.
Fromp.200ofReference
[13]thestressconcentration duetoanelliptical holeinabiaxially stressedplatewheree,=e,andb/a=1.16, thestressconcentration shouldbe2.32(say2.4).Themodelispickingupastressconcentration of2~0fromtheradiallypositioned circularhole(b/a=1.0)inthemodel.Theincreaseinhoopstressduetothehillsidepositioning whensubjecttopressurehasbeenincludedbytheincreaseinradius,butthemodelisonlypickinguptheinherentSCFof2.0forthermalstresssincethethermalstressesareessentially unaffected byradius'he thermalstresses, therefore, mustbeincreased byafactorof1.2toaccountforthehillsidepositioning.
Thisincreasehasbeenperformed byseparating thethermalandpressurestresscomponents, multiplying thethermalcomponent by1.2,andaddingthepressurecomponent andtheincreased thermalcomponent toarriveatthetotalstress.Sincehoopstress(Sz)isdominant, theincreasewillonlybeperformed forthatstresscomponent.
Asamplecalculation appearsbelow.Page20ahasbeeninsertedbetween20and21.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:20 B&WNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 ForCooldown-1 (Table6.5),atpositionS=0.3360inches:Sz=25288.0Pressurecomponent istakenfromthepressureonlycaseintable6.9.Thispressuremustbemultiplied bytheratioofpressures Sz-press=(P/Ppo)Sz-po(1472/2250)'32353 21166psiHence,thethermalcomponent is25288-21166=4122psiThisismultiplied by1.2andthepressurestressisaddedtoarriveatthecorrected totalstress.ISz=4122(1.2)+21166
=26112.4psiwhichisexactlywhatthetablereports.hTwoadditional transients, fluctuations fromsteadystate,arecalculated usingtheresultsfromthe53'FStepUpandStepDown.Theyusethemethodabovetoisolatethethermalstressesandapproximate a20'FStepchangebymultiplying thethermalcomponent bytheratio20/53.'he transient alsoincludesapressurechangeasdescribed intherelevanttables,6.14and6.15.Notethatthestresses(inpsi)areinthelocalcoordinate systemofthe45degreeflawlineasshowninFigure6.1and"S"isthedistancefromtheinsidesurface,to theoutsidesurfacealongtheflawline.Notealsothatthefiguresonpages37through47showthestressesnotincluding the'actor of1.2onthermalstressandareforinformation only.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:20a P0 B&WNUCLEARTECHNOLOGIES NON-PROPRIETARY
**32-1235127-02 Table6.1ENDOFHEATUP,P=2250PSIGTHOUTSTRESSESWITHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791'7991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-2539.5-62.51818.22846.53962.34368.85035.55502.65928.86268.76662.06889.87167.57420.07609.07819.57990.38150.18307.78439.38571.58699.68803.18912.09020.49106.79194.09281.59358.49428.89497.79564.29619.09673.29725.59771.39810.29848.69886.59917.69941.39964.79987.510010.010243.010468.010683.010890.011089.0SY-721.5229.6554.0770.82596.53683.54580.25303.15957.66449.96937.17336.47706.58045.68346.28638.48886.69125.09358.49550.69739.59923.210083.010230.010376.010508.010629.010742.010850.010953.011048.011135.011216.011298.011376.011442.011505.011569.011633.011686.011733.011781.011830.011878.011671.011472.011281.011100.010927.0SZ23098.025811.026602.026553.026346.026134.025733.025458.025138.024927.024672.024532.024373.024238.024157.024057.024001.023954'23906.023885.023861.023840.023844.023834.023823.023838.023842.023837.023843.023857'23860.023853.023861.023867.023868.023856.023852.023847.023842'23822.023804.023785'23766.023746.023704.023664.023623'23582.023540.0SZ19234'23322.025004.425393.025538.025564.625332.825185.624974.224844.624661.424584.224479.024392.024356.024297.024277.424265.824251.824260.224265.024272.024302.624316.024328.224366.224391.024404.824429.424462.224481.624488.824511.424531.624545.824544.024550.024555.024559.824546.624534.224520.824507.224492.624451.424412.224372.024331.624290.2PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:21 0
~BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY
**32-1235127-02 Table6.253FSTEPDOWN,P=1740PSIGTHOUTSTRESSESWITHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-3039.0350.33114F14598.95658.25966.26461.36718.86909.57003.07130.57091'7102.17089.27011.96957.86885.66798.56703.76620.46535.16443.16342.56267.66189.86095.06017.05954.05883.05806.95744.05694.75638.05580.45527.85492.65453'5414.15374.25349.55327.85305.85283.75261'5374.05481.85585.25684.05778.2SY2198.32565.52497.12587.34413.05425.96193.76719.77143.27373.57576.97673.87738.37767.77752.57730.67682.37620.57549.27475.07396.67311.87220.27142'7062.36972.06892.96825'6753.76679'6616.36566.56513.36459.56411.26381.76349.96318.06285.96270.96260.26249.46238.46227.36112.26000.55893.25790.25691.4SZ37940.037707.036148.034456.032768.031306.029778.028489.027210.026132.025054.024121.023233.022410'21650.020917.020280.019659.019044.018538.018038.017544.017102.016707.016314.015942.015607.015304.015011.014724.014466.014241.014026.013812.013610.013451.013298.013146.012994.012878.012780.012682.012584.012486.012433.012382.012330.012279.012228.0rSZ38967.839331.538027.736343.334621.933084.831444.130038.628637.327439.326240.725191.324191.923262.322397.621565.220837.620127.019422.818841.518267.517699.617189.216734.816282.915851.915465.415117.114779.014446.914149.613891.613643.713396.913164.612983.512808.312634.412460.312329.512219.012108'11998.211887.911831.411777.011721.511667.111612'PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:22
 
BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY
**32-1235127-02 Table6.353FSTEPUP,P=2400PSIGSTRESSESWITHERMALSTHOUTCFWITH1.2SCFONTHERMALS'0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-2467.-260.1372.2283.3417.3872.4601.5143.5655.6080.6562.6882.7247.7584.7860.8153.8398.8632.8867.9059.9252.9442.9601.9757.9914.10047.10174.10297.10407.10511.10609.10699.10776.10853.10926..10986.11039.11091.11143.11183.11214'1244.11273.11303.11567.11820.12065.12299.12524.SY-1533.7-449.6-23.8227.72023.03125.14062.34851.05585.56168.46753.17256.27729.08170.58575.28969.09309.99642.09970.210240.010507.010768.010998.011206.011412'11602.011775.011931.012080'12226.012356.012472.012582.012691.012795.012878'12959'13040.013121.013186.013242.013300.013358.013416.013182'12956.012741.012536.012341.0SZ18740.022212.023644.024080.024327.024510.024475.024534.024533.024609.024625.024749.024826.024911.025047.025146.025266.025393.025516.025632.025742.025853.025980.026067.026153.026266.026353.026414'26487.026568.026626.026660.026710.026759.026798.026808.026828.026847.026864.026857.026849.026840.026829.026818.026775.026734.026692.026648.026604.0VSZ13439.518493.120993.621994.022710.123229.423453'23719.223902.124125.124275.324521.024704.724886.725115'25299.025493.825694.025888.126063.126231.026398.526578.526709.926840.226997.227122.927217.227323.427437.727524.127581.527655.427728.127788.727814.227849.727884.227916.227919.327919.527918.727915.327912.227870.427830.627789.827746.327703.1PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:23 BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY
**32-123S127-02 Table6.4STEADYSTATE,Tref70F,Tunif=653F,P=2400PSZGSTRESSESWZTHERMALSTHOUTCFWITH1.2SCF~ONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.3599'3.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-3281.3-156.32331.33706.34926.75382.56081.66551.06969.97285.67651.47839.68076.68285.58425.78587.68709.88819.18924.69008.39092.09170.79225.99290.69354.193.95.09440.39489.09526.99558.09591.29625.89648.79671.09693.29715.39730.79745'9759.99774.19783.59792.69801.39809.710034.010250.010457.010655.010846.0SY478.11203.21373.31568.83540.34706.35658.26399.57059.47534.57999.48361.18690.78984.49233.49473.29667.69849.910025.010163.010297.010424.010528.010625.010720.010799.010873.010942.011005.011064.011119.011170.011217.011263'11308.011349.011387.011425.011463.011499.011532.011565.011598.011632.011427.011229.011039.010858.010686.0SZ32074.033605.033377.032639.031826.031127.030290.029651.028985.028484.027950.027560.027167.026816.026529.026233.026000.025779.025560.025391.025221.025055.024923.024791.024658.024553.024448.024343.024250.024166.024081.023996.023926.023855.023784.023715.023656.023595.023535.023475.023423.023370.023317.023264.023211.023160.023108.023056.023003.0SZ29440.332164.732673.232264.831708.931169.830431.429859.629244.528775.128265.327894.227513.927172.726893.626603.426374.626157.225940.925773.925605.825440.925310.125178.725046.224941.624836.924732.024639.024555.324470.124384.724314.624243.324171.924102.624043.323981.823921.423860.923808.323754.723700.923647'23593.623541.823489.023435.923381.9PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:24, pl BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY
**32-1235127-02 Table6.5COOLDOWN-1, Psat=1472 PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200'2400'3600.44800.56000'7200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192~46392'7592.68792.79992.91193.02393.13593.24793'5993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-1570.8702.62447.13354.64226.84436.04868.45119.25317.25449.65622.65649.75725.65782.75783.95805.35804'5792.65775.25754.85733.25706.45666.75641.55614.45571.25537'5510.85476.85438.15406.75382.45350'5318.35288.75268.95245.05220.75196.05181.15166.95152.35137.55122.45233.35339.65441.35538.65631.5SY738.81302.81350.61419.93004.33871.34536.85025.95432.45688.65928.96087.56218.66322.26391.26452.36485.46508.36524.46523.76519.56510.26489.46470.56449.26418.96390.66365.26335.96303.96275.86252.66226.16199.16174.56158.86141.26123.46105.56097.56091.66085.86080.06074.25960.45850.35744.75643.35546.4SZ24997'26308.026075.025288.024449.023660.022761.022012.021247.020613.019967.019425.018900.018415.017977.017545.017173.016810.016451.016150.015850.015555.015292.015046.014801.014574.014362.014164.013973'13788.013617.013461.013313.013166.013026.012910.012798.012687.012576.012488.012412.012335.012259.012183.012138.012094.012050.012005.011961.0SZ24446.626564.026764'26112.425363.024600.023684.422905.222100.121420.120725.320134.319560.319027'18541.818063.317648.017241.716839.516500.216162.215829.315530.615252.014974.614715.314474.014249.314031'13820.013625.113448.113279.013111.112951.612820.712693.312567.312441.212342.712257.512171.212086.112001.011953.011906.011859'11810.811763.9PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:25 BOWNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 Table6.6COOLDOWN-2, Psat=1232 PSIGSTRESSESWITHERMALSTHOUTCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601F00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-1131.7875.92390.73159.73934.44084.54449.94649.14796.94889.05018.95013.35055.35081.05055.05048.35024.14988.44947.64907.24865.64818.84761.54719.24674.74616.04566..94526.34478.84427.14383.44347.84305.74263.04223.54195.64164.24132.54100.34079'4060.84041.74022.34002.74086.84167.24244.14317.54387.4SY694.81231'1265.81310.02771.63553.54141.84566.64911.05116.45305.25419.35507.55570.75602.55626.85627.45618.45602.85574.95543.65507.55462'5421.25377.45326.05278.15234.15187.05137.45093.2.5055.15014.34973.04934.74907.44878.64849.64820.34803.14789'4775.14761.14747'4655.34566.44480.94398.84320.1SZ223952371423554228212203521278204131968018932183021766217114165851609315643152011481514439140661374913435131241284412584123251208111854116431143911240110561089010732105731042310300101811006299439851977296939614953594939451941093699327.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.8.8.7.6.5.3.2.9.6.2.7SZ22229F124267.324476.823842.223114.422359.921458.420678.919875.819187.518486.717878.917290.916741.616235.115738.115301.014874.314450.614088.613730.213374'13052.712754.612457.712175.911914.411672.111436.811206.810994.610804.010621.510437.810264.910124.29987.39850.69714.69610.19520.39430.59340.69250.79205.29160.59115.99071.09026.1PreparedBy:T.M.WierReviewedBy.:A.M.MillerDate:Date:Page:26 BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY
**32-1235127-02 Table6.7COOLDOWN-3, Psat=607PSIGSTRESSESWITHERMALSTHOUTCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601'0801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX57.31224'2018.22366.12858.62859.83050.53126.03158.03162.93198'3131.73107.03072.62999.82943'2878.42804.72726.32655.42582.92506.12424.42356.72287.12207.92138.32077.22011.61943.21883;21831.91776.81721.21669.21630.51589.81548.81507.51479.41454.91430.21405.11379.81402.81424.51444.81463.81481.5SY340.1817.4840.3825.91898.72429.02801.83058.03246.63334.53406.43426.83426.23408.33369.23323.63265.03199.33128.33054.42978.02898.22815.52738.32659.42576.42499.02427.12353.52278.42210.32149.92088.12025.81967.11922.01876.01829.71783.11750.91723.41695.71668.01640.11601.21563.31526.61490.91456.4SZ13615.015087.015283.014838.014332.013780.013130.012552.011958.011433.010905.010432.09975.59545.69140.78746.98392.88045.07700.27401'7104'6811.36539.76290.46042.45802.15580.85376.75176.24978.04798.04637.44480.04323.04175.04057.43941.53825.93710.53625.03551.63478.23404.93331.83300'3270.23239.73209.33178.8SZ14049'16040.316473.316060.015558.914972.314259.613615.312949.112352.411751.911208.810684.110188.59719.19263.08850.98445.78043.77693'7347.27003.86684.86392.56101.85818.85558.75319.15083.24849.74637.94449.44264.04079.13905.03767.33631.23495.43359.83260.23174.63089.03003'2918.32883'2849'2815'2781'2746'PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:27 BEc'PJNUCLEARTECHNOLOGZES
**BWNTNON-PROPRIETARY
**32-1235127-02 Table6.8ENDOFCOOLDOWN, P=0PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591'6791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-408.5141.8671.7968.21026'1033.01020.8981.6930.7867.3799'721.0642.6562.3477.9393.6312.3228.8143.366F1-12.1-91.5-167.6-237.8-308.9-379.6-445.3-506.3-567.0-627.7-683.1-732.8-781.7-830.7-877.0-913.6-949.7-985.6-1021.5-1047.5-1069.4-1091.2-1112.9-1134.5-1167.0-1198.4-1228.9-1258.4-1286.9SY1474.91166.1945.8890.61004.81048.01063.31041.51003.0943.2876.2794.6710.0621.0526.1430.5335.9238.8139.648.1-44.3-137.8-227.7-310.8-394.5-478.0-555.1-626.1-697.2-768.3-832.4-889.2-946'-1002.9-1056.4-1097.6-1139.1-1180.8-1222.8-1252'-1277.6-1303'-1329.1-1355.2-1335.91317~7-1300.7-1284.9-1270.3SZ9157.47776.06596.75783.75081.04499.23979.73533.73110.82744F92396.62072.21772.01490.21218.1960.1722.8489.4259.456.3-143.6-341.4-529.0-697.9-865.3-1032.6-1184.6-1322.6-1460'-1597.9-1720.8-1828.5-1936.8-2044.5-2144.9-2222'-2299.8-2377'-2453.8-2507.4-2553.4-2599.1-2644.4-2689'-2701.7-2714.0-2726.0-2737.7-2749.0SZ10988.99331.27916.06940.46097.25399.04775.64240.43733'3293.92875.92486.62126.41788.21461.71152.1867.4587.3311.367.6-172.3-409.7-634.8-837.5-1038.4-1239.1-1421.5-1587.1-1752.5-1917.5-2065.0-2194.2-2324.2-2453.4-2573.9-2666.5-2759.8-2852.4-2944.6-3008.9-3064.1-3118.93173~3-3227.3-3242.0-3256.8-3271.2-3285.2-3298.8PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:28
 
B&rfNUCLEARTECHNOLOGIES NON-PROPRIETARY
**32-1235127-02 Table6.9PRESSUREONLYATSTEADYSTATE,P=2250PSIGS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192'6392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.3678'4.47984.59184.70384.81584.92785.03985.15185.26385.3758STRESSESWITHERMALSSY3634.13040.12733.22906.63907.94642.95310.35811.86288.16643.56997.37268.27526'7756'7949.98140'8295.28440.18580.38691.68800.08903.58988.19069.09147.89214.19277.19337.59393.09445.29495.89544.99589.49634.09678.49721.59761.69801.99842.49882.69919.79956.99994'SX-6135.0-2413.71029.43102.04040.04710.55309.25736.46146.06428.96710.76914.17103.67266.97397.17526.97623.57714.07803.07867.57932.57995.68043.18091.38139.68175.38210.98246.68276.28301.88327.18351.88369.38386.68403.58418.48429.38440.38451.28460.98467.48474.08480.88487.88682.28869.39049.39222.39388.310031.09862.29698.99542.79393.59251.3WITH1.2SCFONTHERMALSZXXXTHOUTCFSZ42415.038256.034590.032353.030386.028981.027734.026820.025957.025339.024725.024271.023843.023468.023162.022857.022619.022395.022177.022009.021841.021680.021551.021424.021297.021197.021097'20998.020911.020831.020752.020674.020609.020544.0'0479.0 20416.020362.020307.020253'20199.020153.020106.020060.020013.019967.019923.019878.019834.019789.0PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:29 BRWNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 Table6.10LOSSOFSECONDARY PRESSURE-1,T=0.010,P=310PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMAL0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991'9191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984'3184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX2295.12366.72150.71851.82023.41710.01674.61601.31471.51401.61379.51271.01236.71216.61165.71139.01129.91113.01091.41092.31092.11088.51083.21089.91095.11094.31097.91105.21109.81112.51117.01123.11126.81130'1133.61137.91140'1143.71146.21149.01151'1153.01154'1156.21183.11208.81233.51257'1279.8SY639.7877.6600.6366.11256.91544.11679.31749.71742.71704.81669.71607.21558.61521.01475.21437.61416.21392.71367.51359'1350.81341.91334.91334.51334.01332.51333.01335.71338.01340.01342.51345.81348.81351.81354.81357.71360.51363.31366.21368.71371.01373.51376.01378.61353.11328.51305.01282.61261.2SZ8290.49822.59932.29277.88725.28014.07321.96732.46116.75652.55234.54839.34530.54278.64037.83831.43690.23551.53413.83335.23258.93183.73123.53082.13040.93003.92974.12950.92929.62909.42892.02877.72865.42853.12841.32831.52822.92814.22805.52797.42790.62783.72776.62769.62762.92756.42749.82743.12736'8779.710732.810965.510241.99632'8818.28022.17339.86624.86084.85600.15138.44779.64487.64207.13967.83805.03644.73485.53395.83308.83223.03154.43108.23062.23020.62987.62962.52939.32917.32898.62883.62870.62857.62845.22835.22826.42817.52808.52800.32793.42786.42779.22772.12765.32758.72752.02745.22738.3PreparedBy:ReviewedBy:T.M.WierA.M.MillerDate:Date:Page:30 B&WNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 Table6.11LOSSOFSECONDARY PRESSURE-2,T=0.015,P=210PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX2043.42493.22665.62562.62669.32285.72149.81972.11724.11547.71413.31196.91062.7950.8809.5697.1621.1536.2444.2399.0352.3301.1256.8234.1209.2181.1162.3151.9140.1127'118.8114'110.3105.4101.'2100.199.097.796.396.196.496.797.097.3100.6103.8106.9109'112.7SY2272.82111.61564.21241'2101.12320.22366.12320.92181.82013'1844.71643.31468.11311.01145.5996.8883.2767.5649.5575.3502.5429.5367.4325.8284.4244.0213.5192.7172.5152.8138.6130.4122.6115.0109.0107.7106.4105.2104.1105.2106.8108.4109.9111.4111.7112.0112.2112.4112.6SZ16343.016086.014776.013160.011786.010380.09102.28008.86916.96062.05288.94552.83961.43460.92976.32558.32249.41945.51645.21458.81278.61100.9952.0851.3751.9655.4581.8529.4478.4428.5390.3364.5339.7315.4294.0281.8270.1258'247.7240.7235.3230.1225.2220.6218.2216.0214.0212.2210.5SZ18819.918589.117085.515188.113576.011915.010404.99109.97815.76801.45885.15010.34308.63715.03139.22643'2277.11916.61560.31339.71126.6916.4740.1621.6504.7390.8304.4243.3183.8125'81.051.523.0-5.0-29.5-43.0-56.0-68'-80.8-88.3-93.9-99.2-104.2-108.9-110.9-112.7-114.3-115.7-116.8PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:31 B&QNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 Table6.12LOSSOFSECONDARY PRESSURE-3,T=0.0201P=185PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS.0.00000'1200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384'5584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX1500251132413441354031292930267423342065183015131282107784263948632315146-59-171-269-334-402-471-525-564-603-642-673-695-715-736-756-766-776-786-796-802-806-809-812-815-833-850-866-881-895~4.6.7~3~4.7.9.7.8~4.8.7~4.3~4~4.9.7.2.9.8.7.2.3~4.7.2.0.2.8.9~4.9.9.0.8.6.6.5~4.0~4.6.7.3.0.0.3.8SY3990.93432.72625.12234.23117.23315.13316.53191.92956.42681.62399.92075.11782.91511.11227.6966.7754.3538.5319.3167.317'-133'-264.6-361.1-457.2-551.1-625.5-681.4-735.9-789'-830.6-858.3-885.2-911.7-934.2-944.4-954.5-964.6-974.5-977.5-978.6-979.9-981.5-983.3-960'-938.9-918.3-898.6-880.0SZ26048.023922.021115.018499.016257.014133.012237.010616.09025.27753.36593.25491.74583.33796.43033.32365.01845.61334.5830.2492.8165.6-157.3-435.5-634.4-830.6-1024.3-1175'-1287.7-1398.5-1508.0-1592.8-1651.5-1709.7-1766.9-1816.9-1844.7-1872.4-1899.2-1925.4-1939.9-1950.7-1960.9-1970.5-1979.5-1980.3-1980.8-1980.9-1980.5-1979.6SZ305602807724769216661900816483142281229810403888775056190510741693259246218421233631229-160-545-877-1113-1346-1577-1757-1890-2022-2152-2252-2321-2390-2458-2517-2549-2581-2613-2643-2660-2672-2683-2694-2704-2704-2704-2704-2702-2700.1.3.2.8.7.0.3.2~4.3.3.9.9.8.1.1.8.1.6,4.5~3.0.5.9.7.6.5.1.2.6.8.5.1.04.7.0.5.0.2.7.5.5.7.6~0.8.9IPreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:32 14'I4 BOWNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 Table6.13LOSSOFSECONDARY PRESSURE-4,T=0.063,P=116PSIGS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392'7592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758STRESSESWITHERMALSSY12867.010563.08736.58235.79692.410260.010509.010380.010068.09522.38900.68128.17312.86447.75522.54,587.03659.42707.71733.5844.6-52.4-960.4-1826.9-2613.7-3405.7-4195'-4908.5-5549.2-6188.9-6828.9-7390.7-7869.0-8346.4-8825.3-9269.7-9594.4-9920.7-10249.0-10579.0-10803.0-10991.0-11181.0-11374.0-11569.0-11392.0-11225.0-11069.0-10922.0-10786.0SX-3873.71715.56852.09623.110312.010289.010200.09828.89326.08711.38066.57290.86529.65746.84911.54085.83289.32469.61628.5881.9125.4-644.21377~2-2037.6-2706.6-3375.1.-3980.3-4526.6-5072.1-5617.5-6100.7-6516.6-6926.3-7337.0-7720.7-8008.2-8290.3-8572.2-8854.0-9050.7-9212'-9372.7-9532.7-9692.2-9957.5-10214.0-10463.0-10703.0-10935.0WITH1.2SCFONTHERMALTHOUTCFSZ86107.074667.064405.056957.050389.044855.039860.035555.031453.027886.024484.021310.018359.015582.012897.010351.08015.05714.83445.91468.2-478.9-2406.3-4219.1-5822.0-7411.4-8997.9-10409.0-11656.0-12901.0-14144.0-15224.0-16132.0-17046.0-17954.0-18791.0-19399.0-20012.0-20620.0-21225.0.
-21631.0-21973.0-22312.0-22647.0-22979.0-23063'-23147.0-23228.0-23306.0-23382.0VSZ102891.189205.976929.368014'60153.553527.247546.042389.537476.033201.929125.925321.721785.018456.415237.612185.59384.86626.83906.41534.9-799.9-3111.1-5285.1-7207'-9113.3-11016.0-12708.3-14203.7-15696.8-17187.6-18482.8-19571.6-20667.7-21756.6-22760.4-23489'-24224.4-24953.4-25678.8-26165.5-26575.4-26981.7-27383'-27781.2-27881.5-27981.8-28078'ges33aand33bvebeeninsertedtween33and34.Pa-28171.7ha-28262.4bePreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:33 II)4, B&WNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 Table6.14FLUCTUATION DN-20FSTRESSESWITHOUTTHERMALSCFSTEPDN,100PSIDECREASETO2150PSIGWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391'5591'6791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SZ42469.239620'36599.234476.032533'31049.229644.928551.827496.426679'25865.125211'24592.524033.123543.223064.122665.822282.821906.021603.521303.421010.120757.720524.320291.720085.019892'.219712.119543.819382.419232.619096.018971.718847.818728.418626.618533.018439.218346.018266.318198.818130.618063.117995.017944.417896.017846.517798.017748.9SZmod42857.040233.837308.535188.233233.031720.430273.629136.628035.027172.726312.925615.624954.424354.723825.323308.722876.222459.422048.921718.121390.021068.820790.620534.820280.020051.019838.719641.619456.319277.919113.218964.118827.418691.118560.318450.218348.218246.118144.618059.417987.117914.317842.117769.217717.417667.717616.917567.117516.8PreparedBy:ReviewedBy:T.M.WierA.M.MillerDate:Date:Page:33'.
BSWNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 Table6.15FLUCTUATION UP-20FSTEPUP,100PSIINCREASETO2350PSIGS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184'4384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758STRESSESTHERMALSZ34299.132939.531126.629855.128685.627852.827039.126474.625920.325552.225164.124919.524673.824465.224320.124161'24054.123958'23864.723800.723734.323672.923638'23589.323540.223518.723487.323446.823418.523397.723368.923331.623308.823285.523258.523221.823194.723166.623138.323101.023068.523034.923001.222966.922921.222877.422832.722787.922742.4WITHOUTSCFWITH1'SCFONTHERMALSZmod32298.931536.230126.429068.028075.527369.526653.626167.225682.225369.725032.224833.524628.024456.024345.824219.424140.124071.824005.223963.423918.923878.723863.823831.923799.523794.623777.823749.923734.123725.823707.823679.423665'23651'23632.423601.523580.323558.023535.423501.923472.423442.023411'23379.823334.523291.223247'23202.323157.1PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:33b L)t III~~IIre~I~ssaseeaaamww&w~~~~~
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(~104!O211S2ANSTS5.0AJUN21199510:43:39PI.OTNO.POSTISTEP=ISUB=ITIME=IPATHPI.OTNODI=2N002=10&2V=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIOHIOOEN156747egOgI0H474+3201.0-72o150o5371o0751.613ENOOFHEATUP,P=2250PSIG2o152odmDIST3.7634m3014JII4JUlh)IC)
(a10ffoANSTS5.0AJUN21199510:43:44PI.OTNO.2POSTISTEP=2SUB=ITIME=2PATHPI.OTN001=2N002=1082'V=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIOHIOOEN577.2S2STg0gI0HK'58~~219+53300o5371+0751e61353FSTEPOOWN,P=1740PSIG2o152eamDIST~225i.3015+3763o7634e53544MIM4JVlh)IED (a100'211SEANSYS5.0AJUN21199510:43:48PLOTNO.3POSTISTEP=3SUB=ITIME=3PATHPLOTN001=2N002=1082V=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIOHIDDENSYgOgI0H130.6-153+37100+5371a0751.61353FSTEP-UP,P=2400PSIG2m152+666DIST3.7634o3014lh)I4JUlhlIoh) 0
(~10'1)SZANSYS5.0AJUN21199510:43:53PI.OTNO.POSTISTEP=4SUBTIME=%PATHPI,OTN001=2N002=108ZV=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIOHIOOENR.20710mSY0gI014370.047+8051.0752.150+5371+d132Idm302253.7d34.3015o37dEQrtr~~DISTSTEAOYSTATE,TreI=10F,Tunif=653F,P=2400PSIG
 
SScr-4SQSSQW'C'C(~109fl)211ANSYS5.0AJUN211095IO:43:57PI.OTNO.5P05'TISTEP=5SUBTIME=5PATHPI.OTN001=2NOOZ=I08ZV=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIDHIDDENRnneeSSSZg0g0MSY329.5773.baal0Oed371.07d1+613COOlOOWN-I,Psa1=1<72PSIG2old2I665DEST3o763io301o3764)h)IMVlVlhlICIhl (a10991)214191ANSYS5.0AJUN21199510:44:02PLOTNO.6POSTISTEP=6SUB=ITIME=6PATHPI.OTN001=2N002=108ZV=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIOHIDDEN760.06SZ0gI0HSY299.d708~~69.4750Oslo1s0751e615COOI.OOWN.2, Psal=1232 PSIG2.152edbbDIST.2254o3015+5765o7654.515bbIhD4JVlIC)h)
(a104'ANSYS5.0AJUN21IS95IO:44:06PI.OTNO.7POSTISTEP=7SUB=ITIME=7PATHPI.OTN001=2N002=1082V=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIDHIOOEN7Il.i631~Slg0g0&#xc3;H0a183.SY3io00700.5371a0751+613COOI.OOWN-3, PsaI=607PSIG2o152+6MDIST3.763is3015.376MhPIhPVJUlhPICIhP 91ANSYS5JUN21IO:(4:IPLOTNOPOSTI5I'P=8SUBTIME=8PATHPI.NOD1=2NOD2=10ZV=IDIST=0.XF=0.YF=0.ZF=0.CENTROI.0A1995I8OT75555DHIDDEN-3d7o7svSZ0gI0t(fH14M74900.537lo075lod13ENDOFCOOLDOWN, P=0PSIG2s15DIST302254.3015o3762odb53.7634s63$4Jh)IM4lVlh)IM 8Sr-'d088PAWWzr.8(a1040O424ANSYS5.4AJUN21Icq510:44:15PIOTNO.9POSTISTEP=9SUB=II'ME=9PATHPLOTN001=2NOO2=1002V=I17ISTc0.75 XF=0.5YF=0,5ZF=0.5CENTROIOHIOOENn520gI0HWSY670.18~~273.3la01.0752o15OI5371+6133.225ho3010.3762odbb3e763heKRDISTPRESSUREONLYATSTEAOYSTATE,P=2250PSIG4Jh)Ih)GJUlIh)IoM
 
ANSYS5.0AJUN21199510:44:20PLOTNO.10POSTISTEP=IOSUBTIME=10PAI'HPLOTN001=2N002=108ZV=IDIST=0.15 XF=0.5YF=0.5ZF=0.5CENTROIOHIOOEN6151441SZ0gI0HWSY366al30OICP1+075le6132m152+6Mo2254+3015+3763.7IL$4eMdDlSTLOSSOFSECONOARY PRESSURE-I,1=0.010,P=310PSIG4lMIM4JVlhlIEDbJ
(~1040O14114ANSYS5.0AJUN21105510:41:24PLOTHO.11POSI'STEP=IISUB=ITIME=IIPAT'NPlOTH001=2H002=108LV=IDIST=0.15 XF=0.5YF=0.52F=0.5CENTROIOHIDDENRnn9M.71497.335,1172.S2SYgOgI0HKlg8~~10.4060I5371a0751+6132,153e2254.3015.3762odbb3e7634m535DISTlOSSOFSECOHOARY PRESSURE-2,T=0.015,P=210PSIGLa)IM4JUlh)IM
'$41 (s109$O17ANSYS5.0AJUN211995IO:41:29PLOTNO.12POSI'STEP=12SUB=ITIME=12PATHPLOTNOD1=2NOO2=1002V=IOIST=O.)5 XF=0.5YF=0.5ZF=0.5CENTROIOHIOOENnnOQH642o73d2o4II2.152STg0gI0HK8~~-19bo0900.5371.075l.dl32olm2odbb3e7d34.3014eESDISTLOSSOFSECONOARZ PRESSURE.3,T=0.020,P=185PSIGOo37d4JMIIhl4JUlIIEDh)
[I10661)661ANSYS5.0AJUN211995I0:11:33PLOTNO.13POSTISTEP=13SUB=I'TIME=13PATHPI.OI'001=2 N002=1082Y=IOISI=0.15XF=0.5YF=0.52F=0.5CENTROIOHIOOEN946o4-146+39-12SYSLgOgI0HPl0.5371+0751o6132o162.666~2264o3613+7634.636,DISTlOSSOfSECONOARY PRESSURE~1,T=0.063,P=116PSIGo3764JMIMVlUlMIM 4BOWNUCLEARTECHNOLOGZES
**BWNTNON-PROPRZETARY
**32-1235127-02 7.0ANSYS5.0AVerification TheANSYSanalysiscode,versionS.OA,wasverifiedusingclosedformsolutions forhoopstressinasphereandstressconcentration factors.Thefollowing comparison offiniteelement(FE)stressresultsandclosedformsolut'nsindicated thatthesoftwareprovidedaccu.ateresults.Therefore, ANSYS5.0Awasverifiedforthisapplication.
FiniteElementResultsfromTableDistanceHooStress0.0(clad/base) 42,4152.6879(midbase)21,2975.3758(external) 19,789HoopStress(usingthinshelltheory)6.9,Pressure=2250psiaSzpsipsipsie=pr/2tRef.[5,Table28case3a.]e=2250(73.63)/[2(4.094)]=20,233psiComparedto:21g297psi(FE),b%')21297/20233
-1)(100%)=5.26%'nd19,789psi(FE),b%')19789/20233
-1~(100%')
=2.19%'hese percentdifferences areattributable tothedifferences b'etweenthinandthickpressurevesseltheoryandthefactthatatthemidpointofthelinetheremaystillbesomestressconcentration effectduetothepenetration.
StressConcentration atHoleSCF=a,,/e,=42415/19789
=2.143(FE)kComparedto2.0(fromSect.3.3),h%=]2.14/2.0
-1](100%)=7.2%PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:48
'J B&W'UCLEAR TECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02
 
==8.0 References==
1)ASMEBoilerandPressureVesselCode,SectionZZI,Division1,Appendices, 1986EditionwithnoAddenda.2)BWNSDocumentNo.51-1155656-00, "Standard Correlations forNaturalConvection".
3)BWNSDocumentNo.NPGD-TM-500, "NPGDMaterialProperties ProgramUser'sManual",Rev.D,March,1985.4)Harvey,J.F.,"TheoryandDesignofModernPressureVessels",
VanNostrandReinholdCo.,NewYork,1974.5)Young,W.C.,"Roark'sFormulasforStress&Strain",6thEditionMcGraw-Hill, NewYork,1989.6)DeSalvo,G.J.andGorman,R.W.,"ANSYSUser'sManualforRevision5.0",1992,SwansonAnalysisSystems,Houston,Pennsylvania.
7)BWNTDocument32-1235128-02, "FMAnalysisofSt.LuciePressurizer Instrument Nozzles".8)BWNTDocument38-1210588-00, "Pressurizer Instrument Nozzles,FMDesignInput,"forSt.LucieUnit2,dated11/11/94(FP&LNumberJPN-PSLP-94-631, File:PSL-100-14).
9)FloridaPower&LightDrawingNo.2998-19321, Rev.0,"TopHeadInstrument NozzlesRepair".10)FloridaPower&LightDrawingNo.2998-18709, Rev.1,"Pressurizer GeneralArrangement".
11)Arpaci,V.S.,Conduction HeatTransfer, Adelson-Wesley Publishing, 1966.12)*FloridaPowerandLightDrawingNo.2998-18594 Rev.0,"Pressurizer TopHeadDetailsandAssembly."
13)Peterson, R.E.,"StressConcentration Factors",
Wiley&Sons,1974.*References markedwithan"asterisk" areretrievable fromtheUtilities RecordSystem.AhorizeProjectger'sSignature PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:49 BSc't~'UCLEAR TECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02
 
==9.0 Microfiche==
Thefollowing tablecontainsalistofmicrofiche oftheANSYSS.OAcomputeroutput.Thenodesandelementswereidentical amongallthemodels.FILENAMEFILEDATEDESCRIPTION SPHTHERM.OUT6/20/95Composite transient thermalrunsincluding 100'F/hrHeatup,53'FStep-down, 53'FStep-upand200'F/hrCooldownSPHTHLP.OUT SPHSTRES.OUT MATPROP.MAC6/20/956/21/956/14/95LossofpressurethermalrunStressrunsforallcasesMacrofilecontaining allmaterialpropertydateusedintheanalysis.
PRESS.MAC 6/15/95MacroforapplyingpressureduringthestressrunsFILMCOEF.MAC 6/14/95MacroforapplyingthermalloadsduringthermalrunsPreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:50  
'4\>
'4\>
B&VlNUCLEARTECHNOLOGIES**BWNTNON-PROPRIETARY**32-1235127-02ComputerOutputMi.crofichePreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:51 rtl}}
B&VlNUCLEARTECHNOLOGIES
**BWNTNON-PROPRIETARY
**32-1235127-02 ComputerOutputMi.crofiche PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:51 rtl}}

Revision as of 14:55, 29 June 2018

Stresses for St Lucie Unit 2,PZR Lefm.
ML17228B237
Person / Time
Site: Saint Lucie NextEra Energy icon.png
Issue date: 07/14/1995
From: MILLER A M, WIGER T M
BABCOCK & WILCOX CO.
To:
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IjIPBBMfNllClSAR%MTECHNOLOGIES BNT-20697-2 (11/B9)(BNNP.20697.1)

CALCULATION SUMMARYSHEET(CSS)DOCUMENTIDENTIFIER 32-1235127" 02TITLFStressesforSt.LucieUnit2,PzrLEFM4100533PREPAREDBY:T.M.WierREVIENEOBY:A.M.MillerSIGNATURE TITLEEnr.IIICOSTCENTERREF.PAGE(S)SIGNATURE TITEEnr.IV,7//9s-TMSTATEMENT:

REVIEllER INDEPENDENCE PURPOSEANDSUMMARYOFRESULTS:Thepurposeofthisdocumentistodetermine enveloping Normal,UpsetandEmergency Condition stressesforthesix1"instrumentation nozzlesintheupperandlowerspherical regionsinthepressurizer atSt.LucieUnit2.Resultsfromthisdocumentwereusedasinputtothefracturemechanics evaluation, Reference

[7].Thestressresultsaresummarized inTables6.1through6.15inSection6.0.Noconclusions aredrawnby,thesecalculations.

    • BWNTNon-Proprietary
    • Thisdocumentconsistsofpages1through51including 20a,33aand33b.THEFOLLONING COMPUTERCODESHAVEBEENUSEDINTHISDOCUMENT:

CODE/VERSION/REVCODE/VERSION/REVTHISDOCUMENTCONTAINSASSUMPTIONS THATMUSTBEVERIFIEDPRIORTOUSEONSAFETY-RELATED ISRK'75081'00'l84

'950802'.PDRADOCk0500038'P QPDRYES()NO(X)PAGE1oF51 tie'at)

IBRANUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127<<02 RECORDOFREVISIONS RevisionNumber0PagesAdded/ChanchedAllAllDescritionOriginalissueIssueofNon-Proprietary VersionRemovedassumption 5.Corrected Young'smodulusofbasematerial.

Modulususedintheanalysisofpreviousrevisions wascorrect,butreportedincorrectly inthistable.8-40Corrected equationforK,.Performed theanalysisforonlythespherical regionwithcorrected hillsidestressconcentration factorandactualthickness.

Newmodelcoversallnozzlesintheupperandlowerspherical regions.Replacedwithpages8through50.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:2 BaWNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02

1.0 Introduction

2.0Assumptions 3.0DesignInput3.1DesignCharacteristics 3.2MaterialProperties 3.3ModelGeometry4.0FiniteElementModel5.0ThermalAnalysis6.0StressAnalysis7.0ANSYS5.0AVerification

8.0 References

9.0Microfiche 45568101120484950PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:3

B&W'UCLEAR TECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02

1.0 Introduction

Duringthe1994refueling outage,externalleakagewasidentified atthepressurizer instrument nozzle"C"ofFloridaPower&LightCompany's St.LucieUnit2.Subsequent NDEidentified indications ontheJ-weldsforallfoursteamspaceinstrument nozzles.Modifications weremadeandjustifications performed todetermine thepotential forcrackgrowthduringplantoperation.

Theevaluation performed atthetimewasconservatively limitedtoonecyclebasedonthedesigninformation available.

Thepurposeofthisanalysisistoprovidestressanalysisinputforaboundingfracturemechanics flawevaluation sothatitisapplicable toallsixinstrument/temperature 1"nozzlesinthespherical regionsofthepressurizer.

IResultsfromthisdocumentareusedasinputtothefracturemechanics evaluation, Reference

[7].Theresultsarepresented inthecoordinate systemshowninfigure6.2,whichisorthogonal tothepostulated flaw,asrequiredbyReference

[7].Thecomponent stressesalongapostulated flawplaneshowninFigure6.2weredetermined usingANSYS'5.0A finiteelementsoftware.

2.0 Assumptions

1)Materialproperties forSA-240,Type304wereassumedforthestainless steelcladdingonthepressurizer headsandshell.2)Theeffectsofthenozzlewereneglected indetermining theshell/head stresses(i.e.thenozzlewasomittedfromthefiniteelementmodel).3)ThehTbetweenthecladdingsurfacetemperature andthebulkfluidtemperature wasassumedtobe15'Fforcalculating thenaturalconvection heattransfercoefficient.

4)Pipingloadsontheinstrumentation/temperature sensingnozzlesproducenegligible stressesonthepressurizer shell/head.

5)'Removed) 6)Hydrotest wasassumedtobeshophydrotest only.Therefore, nofuturehydrotests areassumedtooccur.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:4 BEcT4NUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 3.0DesignInput3.1DesignCharacteristics Thefollowing designparameters forthepressurizer weretakenfromReference

[8].Heatup'Cooldown Operating PressureOperating Temperature MinimumPressure(ReactorTriptransient)

MaximumPressure(Abnormal LossofLoadtransient) 100F/hr200F/hr2250psia653F1740psia(653-616'FhT)2400psia(664-614'FhT)PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:5 B&kNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 3.2MaterialProperties Thissectionsummarizes thematerialproperties usedinthethermal/stress analysis.

ThematerialtypescomefromReferences

[8-10]andassumption 1.References forthematerialproperties aregiveninthetablesbelow.Thematerialpropertydesignation andunitsare:KXX-thermalconductivity, btu/(hr-in-'F)

DENS-density,lb/in'-specificheat,btu/(lb-'F)

Cisacalculated valuebasedonC=KXX/(DENS xThermalDiffusivity) wherethermaldiffusivity istakenfromthesamesourceasKXXEX-Young'sModulus,psix10'LPX-coefficient ofthermalexpansion, in/in/'Fx10'm-designstressintensity, ksiSy-yieldstrength, ksiSu-ultimatestrength, ksiv-Poisson's ratio=.3forallmaterials PRESSURIZER HEADSANDSHELLSA-533GR-BCL-1,LowAlloySteel(Mn-.SMo-.5Ni)

TEMPDENSEXALPXSySu100200300400500600700REF.28391.8833.1079~28311.9500.1139.28231.9833.1196.28171.9833.1257.28091.9583.1323.28021.9167.1389.27941.8583.1448.329.028.528.027.427.026.425.37.0626.750'7.2526.747.57.4326.746.17.5826.745.17.7026.744.S7.8326.743.87.9426.743.180.080.080.080.080.080.080.0PreparedBy:-T.M.WierReviewedBy:A.M.MillerDate:Date:Page:6 I0I4'811 BEDNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 HEADANDSHELLCLADDING304STAINLESS STEEL,SA-240ASSUMED(18Cr-8Ni)

TEMP100200300400500DENS.2862.2853.2844.2836.2827.7250.7750.8167~8667~9083EX.115728.1.120927.6.124627.0.128626.5.131325.8ALPX8.558.799.009.199.37Sy20'30.020'25.020.022.518.720.717.519.4Su75.071.066.064.463.5600700REF.2818.2810.9417.9833.133425.3.135824.89.539.6916.418.263.516.017.763.5PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:7

BOWNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRXETARY
    • 32-1235127-02 3.3ModelGeometryThemodelisaxisymmetric withtheaxisofrotationatthecenterofthepenetration, asifthepenetration waslocatedradially.

Boththebasemetalandthecladdingarerepresented thermally andmechanically (seeFigure3.1).RClo,clcllng (LpDRNazFigure3.1ModelGeometryThecladdingandbasemetalthicknesses, T~~andT,~,respectively, andthepenetration radius,RNozcomefromReferences

[10]and[12].TheradiusR,isnottheactualradiustothebasemetalbutismodifiedasdiscussed latertoaccountforhillsideeffects.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:8

B&WNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 Thedimensions inFigure3.1aboveasusedintheanalysisare:R,=1.52(487/16)=73.63in.(1.52=hillsidestressfactor)R=11/16=0.6875in.T~~=7/32=0.219in.T,~,=37/8=3.875in.Themodelwasbuiltsuchthatthehoopstresswasincreased byanappropriate valuetoaccountforthehillside(non-radial) penetrations whicharenotinherentinanaxisymmetric model.Thisincreasewasaccomplished byincreasing theradiustothebasemetal(R,)byanappropriate factorK,calculated later.Asufficient portionoftheheadwasmodeledtoattenuate thestressconcentration effectsatnozzlepenetration (discussed inSection4.0).HillsideEffectPenetrations inthespherical headsexperience increased stressduetothehillsideeffectoftheskewedpenetration.

FromRef.[4,p.'337],thefollowing stressconcentration factorwascalculated forthehillsideeffect.Themaximumstressconcentration waspresentattheinstrument nozzlesinthelowerheadwhereP(theanglebetweenthepenetration centerline andthenormaltothehead)wasamaximum.sin'(24.5625/48.21875)

=30.62~K,=K,(1+2sin'$)Refs.[9&10]Ref.[4,p.337]Kr=Kr(1+2sin'0.62o)1,52K,Where:,K,=radialnozzlestressconcentration factorK,=non-radial nozzlestressconcentration factorP=angletheaxisofthenozzlemakeswiththenormaltothevesselwallPreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:9 IB&WNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • '2-1235127-02 4.0FiniteElementModelANSYS5.0Afiniteelementsoftware, Reference

[6],wasusedtoperformtheaxisymmetric thermalandstressanalysesofthenozzlepenetration inthespherical regions.Themodelextendsawayfromthepenetration farenoughthattheincreaseinstressduetothepenetration isnotpresentattheboundary.

"Thiswillinsurethatanyinaccuracies atthelocationofboundarycondition application willnotaffecttheresultsatthepenetration.

JTheheadandcladdingweremodeledusingaxisymmetric elementsPLANE42forthestructural andPLANE55forthethermal.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:10 BEclNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRXETARY
    • 32-1235127-02

5.0 ThermalAnalysisThetransients

inRef.[8]werereviewedforthoselikelytoproducemaximumtensilestressontheinsidesurfaceofthepressurizer (conservative forthefracturemechanics analysisinReference

[7]).Basedonthereview,thefollowing transients wereevaluated inthisanalysis:

100'F/hrHeatup,200'F/hrCooldown, aboundingUpsetCondition transient whichwasrepresented asa53'FStep-down (pressure

=1740psia)anda53FStep-up(pressure

=2400psia),andLossofSecondary Pressure.

TheHeatup,Step-down, Step-upandCooldowntransients werecombinedintoonecomputerrun(microfiche SPHTHERM.OUT) with"Heatup from70'Fto653'F(rampedover5.83hours,thenheldconstantuntilt=7.0hours),53'FStep-down (instantaneously droppedatt=7.0hrs,thenheldfor1.0hour),53'FStep-up(instantaneously raisedatt=8.0,thenheldfor1hour)andCooldownfrom653'Fto70'F(rampedover2.915hoursstartingatt=9.0hours,thenheldconstantuntilt=13.0hours)~TheLossofSecondary Pressuretransient consistsofastepdecreaseto504Fwhichisthenrampedto348Foverthenext90secondsatwhichtime4itisheldconstantouttot=0.50hours.Thethermalresultsarecontained inmicrofiche SPHTHLP.OUT.

Thermalconditions wereimposedonthefiniteelementmodelasappliedheattransfercoefficients andbulkfluidtemperatures.

Heattransferwasassumedtooccuratonlytheinsidesurfaceofthepressurizer asshowninFigure5.1.Allothersurfaces, including thepenetration surface,wereassumedtobeinsulated.

Aconstantheattransfercoefficient wasusedtosimplifytheanalysisinaconservative manner.Sinceoverestimating thetensilestressesattheinsidesurfaceofthepressurizer wasconservative forthefracturemechanics analysisinReference

[7],theheattransfercoefficient wasselectedtoresultinconservatively hightensilestressesontheinsidesurfaceofthepressurizer.

PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:11 B&WNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32"1235127-02 DuringHeatupandtheStep-uptransients, heatingoftheinsidesurfacecausescompression ontheinsidesurfaceofthepressurizer.

Therefore, useofalowheattransfercoefficient resultsinconservative (tensile) stresses.

Conversely, duringCooldownandtheStep-down transient, ahighheattransfercoefficient resultsinconservative (tensile) stresses.

Therefore, nozzlesinthesteamspacewereconservatively represented usingheattransfercoefficients inthewaterspace(i.e.forheating,condensing steamcoefficients aregreaterthannaturalconvection coefficients inthewaterspaceandforcooling,naturalconvection steamcoefficients arelessthannaturalconvection coefficients inthewaterspace).ZnthecaseoftheStepDownandLossofSecondary Pressuretransients, however,boilingmayoccur,raisingtheheattransfercoefficient significantly.

The-heattransfercorrelations inRef.[2]werereviewedforhorizontal

'andverticalplates.Thecorrelation forahorizontal heatingplate,faceup(T>Tco)wasselectedasarepresentative heattransfercoefficient forthenozzlesinthewaterspace.HORIZONTAL PLATE,NATURALCO1VVECTION, TURBULENT REGIMEST~yg650FIASSUME15FIT11H=(hT)K4~Kt;=(15)(.17)(1100)=461HR-FT2-oF H=3HRIN2oFFortheStepDowntransient, whereboilingcanoccur,theheattransfercoefficient comesfromTable2.2ofRef.[11].Themaximumcoefficient isconservatively used.H=10,000(BTU/ft'r.P)=70(BTU/in.'r.

'F)TheresultsofthethermalanalyseswerereviewedusingtheANSYSPOST26postprocessor todetermine timeswhentheradialhT'soccurred.

ThePreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:12 BOWNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 temperatures asfunctionoftimeatthebasemetal-to-cladding interface andattheouterradiusofthepressurizer shellareplottedinFigure5.2.TheradialdTisshowninfigure5.3.Thetemperature distribution attimesofextremehT'swereusedtoloadthestructure sincetheextremehT'sresultedinextremethermalstresses.

ForCooldown, othertimepointswerealsoconsidered sincethepressureatthetimeofmaximumhTissignificantly lowerthanatearliertimeswherethetTisalmostaslarge.Steadystatetemperature caseswerealsorunat653'F/2250 psigwithoutmaterialdiscontinuity effects(T,=T<<=653'F)andat-653'F/2400psigwithmaterialdiscontinuity effects(T,=70'F).Table5.1summarize thecriticaltransient timesandidentifies theassociated pressures foreachmodel.Thelocationofnodepairusedforevaluation ofthehT'swasthesamenodepairusedforthestresspathinSection6.0andisshowninFigure6.1andthePOST26resultsarecontained attheendofthethermalrunsinthemicrofiche inSection9.0.Notethatalthoughthenodepairusedforevaluating theradialhTwasata45'nglethroughtheshellwall,itwasrepresentative oftheradialgradientsincetheheattransferisonedimensional intheradialdirection (i.e.,theentireinsidesurfaceisisothermal andtheentireoutsidesurfaceisothermal).

PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:13 fl BAHNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 TABLE5.1CRITICALTRANSIENT TIMESTRANSIENT TRANSIENT TIME(HR)PRESSURE(PSIG)Heatup5.832,250Step-down 7.06671,740Step-up8.06672,400SteadyState'.000 2,400Cooldown'.2915 1,4729.40811I2329.816260711.915SteadyState'/A2,250LossofSecondary Pressure0.0100.0153102100.0201850.063116'Thepressurewasassumedtoequalthesaturation pressureofthesteamatthecurrentfluidtemperature.

'Includes materialdiscontinuity temperature effects(T,=70'F).'Excludes materialdiscontinuity temperature effects(TfT653F).PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:14 IIIllIeeIlHQISkNOQNHOO+++

l88llSQ51115580+++

gg'glll8lRHISR550%88++++

ggulngaaaiaaaaaaaI1ay lll8085REOOSN'I++++gy Illllll!IISQOESH%8++++

Illlllllll1%5%%%%%~~~~~

IIIIIIIIII)

IN5558~+++++Illlllllllll5%88%%%~~~~~

lllllllll55%%5555%8++++~

IllllllHSIISN5555'8+++g IlllllllllllNERNSI'

'+++II,gI 0'I~

WW"CANSYS5.0AJUN20199518:44.:10PLOTNO.IPOST26ZV=IDIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIDHIDDENnTEMPTEMP0gI0HW0lg6~~0010TIME12'6ST.LUCIEPRESSURIZER SPHERICAL REGIONIFMPERATURE NOZZLEIdMIhlCdUIIhlICOM

HaA8OAtid8I~0Q.QC40TOIFFANSYS5.0AJUN20199518:04:10PI.OTNO.2POST26ZV=IDIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIOHIODENRnng0I0H8~~10TIME12ST.I.UCIEPRESSURIZER SPHERICAL REGIONTEMPERATURE NOZZLE4JIhlVJUlhlIC)h)

ANSYS5.0AJUN20I995I7:04:01PI.OTNO.IPOST262V=IOIST=0.~5 XF=0.5YF=0.5ZF=0.5CENTROIDHIOOEN<<CTEMPgOI0Ht4TEMP(sIOtt-1)0.52.5TIME3,5ST.lUCIEPRESSURllER SPHERICAl REGIONTEMPERATURE NOlllE4JIM4lVlMIC)M

~gCDCDCO~~CDRBCD0CDC~8OCl8BaQlQQFLCLB<<CTOIFF[a1044-0ANSZS5.0AJVN20I995Ij:04:07PLOTNO.2POST26LV=I0IST=0.15XF=0.5YF=0.5ZF=0.5CENTROIOIIIOOEN5ng0gI0HWK0.61.62+6TIMEST.I.VCIEPRESSVRILER SPHERICAL REGIONTEMPERATURE N022LEGJIkObJUlh)IC)hl B6cWNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02

6.0 StressAnalysisThetemperature

distributions andpressures atthecriticaltimesinTable5.1wereimposedonthemodeltoobtainthestressesinthepressurizer shell.Thepressureboundaryconditions areshowninFigure6.1.Sincethefracturemechanics evaluation inReference

[7]requiresstressesalongtheflawlinethatisapproximately 45fromtheaxisofthenozzlepenetration, theANSYSPOST1postprocessor wasusedtotransform thestressesintotheflawlinecoordinate systemasshowninFigure6.1.Symmetryboundaryconditions wereusedattheedgeofthepressurizer headtorestricttheheadsmotiontoonlytheradialdirection.

Anodalforcewasappliedtotheheadtorepresent theendcaploaddeveloped atthenozzle(nozzleendcapload=mr'(pressure)

=m(.6875)'(pressure) 1.4849(pressure)).

Thenodalforcewasconservatively appliedtotheoutsidesurfaceofthemodelsinceitwouldtendtoincreasethetensilestressesinthepressurizer shellwhichistheregionofinterest.

Stressresultsforthegivenmodelarecontained inthemicrofiche ofSection9.0.Thestressesalongthe45degreeflawlinearesummarized foreachtransient analyzedintheTables6.1through6.13andthefiguresonpages35to47.Theresultsreportedbythefiniteelementmodelhaveaccounted forthestressconcentration forahillsidepenetration subjecttopressurebytheincreaseoftheradiusbyafactorof1.52,however,theincreaseinthermalstressesduetothehillsidepositioning isnotincluded.

Fromp.200ofReference

[13]thestressconcentration duetoanelliptical holeinabiaxially stressedplatewheree,=e,andb/a=1.16, thestressconcentration shouldbe2.32(say2.4).Themodelispickingupastressconcentration of2~0fromtheradiallypositioned circularhole(b/a=1.0)inthemodel.Theincreaseinhoopstressduetothehillsidepositioning whensubjecttopressurehasbeenincludedbytheincreaseinradius,butthemodelisonlypickinguptheinherentSCFof2.0forthermalstresssincethethermalstressesareessentially unaffected byradius'he thermalstresses, therefore, mustbeincreased byafactorof1.2toaccountforthehillsidepositioning.

Thisincreasehasbeenperformed byseparating thethermalandpressurestresscomponents, multiplying thethermalcomponent by1.2,andaddingthepressurecomponent andtheincreased thermalcomponent toarriveatthetotalstress.Sincehoopstress(Sz)isdominant, theincreasewillonlybeperformed forthatstresscomponent.

Asamplecalculation appearsbelow.Page20ahasbeeninsertedbetween20and21.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:20 B&WNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 ForCooldown-1 (Table6.5),atpositionS=0.3360inches:Sz=25288.0Pressurecomponent istakenfromthepressureonlycaseintable6.9.Thispressuremustbemultiplied bytheratioofpressures Sz-press=(P/Ppo)Sz-po(1472/2250)'32353 21166psiHence,thethermalcomponent is25288-21166=4122psiThisismultiplied by1.2andthepressurestressisaddedtoarriveatthecorrected totalstress.ISz=4122(1.2)+21166

=26112.4psiwhichisexactlywhatthetablereports.hTwoadditional transients, fluctuations fromsteadystate,arecalculated usingtheresultsfromthe53'FStepUpandStepDown.Theyusethemethodabovetoisolatethethermalstressesandapproximate a20'FStepchangebymultiplying thethermalcomponent bytheratio20/53.'he transient alsoincludesapressurechangeasdescribed intherelevanttables,6.14and6.15.Notethatthestresses(inpsi)areinthelocalcoordinate systemofthe45degreeflawlineasshowninFigure6.1and"S"isthedistancefromtheinsidesurface,to theoutsidesurfacealongtheflawline.Notealsothatthefiguresonpages37through47showthestressesnotincluding the'actor of1.2onthermalstressandareforinformation only.PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:20a P0 B&WNUCLEARTECHNOLOGIES NON-PROPRIETARY

    • 32-1235127-02 Table6.1ENDOFHEATUP,P=2250PSIGTHOUTSTRESSESWITHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791'7991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-2539.5-62.51818.22846.53962.34368.85035.55502.65928.86268.76662.06889.87167.57420.07609.07819.57990.38150.18307.78439.38571.58699.68803.18912.09020.49106.79194.09281.59358.49428.89497.79564.29619.09673.29725.59771.39810.29848.69886.59917.69941.39964.79987.510010.010243.010468.010683.010890.011089.0SY-721.5229.6554.0770.82596.53683.54580.25303.15957.66449.96937.17336.47706.58045.68346.28638.48886.69125.09358.49550.69739.59923.210083.010230.010376.010508.010629.010742.010850.010953.011048.011135.011216.011298.011376.011442.011505.011569.011633.011686.011733.011781.011830.011878.011671.011472.011281.011100.010927.0SZ23098.025811.026602.026553.026346.026134.025733.025458.025138.024927.024672.024532.024373.024238.024157.024057.024001.023954'23906.023885.023861.023840.023844.023834.023823.023838.023842.023837.023843.023857'23860.023853.023861.023867.023868.023856.023852.023847.023842'23822.023804.023785'23766.023746.023704.023664.023623'23582.023540.0SZ19234'23322.025004.425393.025538.025564.625332.825185.624974.224844.624661.424584.224479.024392.024356.024297.024277.424265.824251.824260.224265.024272.024302.624316.024328.224366.224391.024404.824429.424462.224481.624488.824511.424531.624545.824544.024550.024555.024559.824546.624534.224520.824507.224492.624451.424412.224372.024331.624290.2PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:21 0

~BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY

    • 32-1235127-02 Table6.253FSTEPDOWN,P=1740PSIGTHOUTSTRESSESWITHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-3039.0350.33114F14598.95658.25966.26461.36718.86909.57003.07130.57091'7102.17089.27011.96957.86885.66798.56703.76620.46535.16443.16342.56267.66189.86095.06017.05954.05883.05806.95744.05694.75638.05580.45527.85492.65453'5414.15374.25349.55327.85305.85283.75261'5374.05481.85585.25684.05778.2SY2198.32565.52497.12587.34413.05425.96193.76719.77143.27373.57576.97673.87738.37767.77752.57730.67682.37620.57549.27475.07396.67311.87220.27142'7062.36972.06892.96825'6753.76679'6616.36566.56513.36459.56411.26381.76349.96318.06285.96270.96260.26249.46238.46227.36112.26000.55893.25790.25691.4SZ37940.037707.036148.034456.032768.031306.029778.028489.027210.026132.025054.024121.023233.022410'21650.020917.020280.019659.019044.018538.018038.017544.017102.016707.016314.015942.015607.015304.015011.014724.014466.014241.014026.013812.013610.013451.013298.013146.012994.012878.012780.012682.012584.012486.012433.012382.012330.012279.012228.0rSZ38967.839331.538027.736343.334621.933084.831444.130038.628637.327439.326240.725191.324191.923262.322397.621565.220837.620127.019422.818841.518267.517699.617189.216734.816282.915851.915465.415117.114779.014446.914149.613891.613643.713396.913164.612983.512808.312634.412460.312329.512219.012108'11998.211887.911831.411777.011721.511667.111612'PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:22

BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY

    • 32-1235127-02 Table6.353FSTEPUP,P=2400PSIGSTRESSESWITHERMALSTHOUTCFWITH1.2SCFONTHERMALS'0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-2467.-260.1372.2283.3417.3872.4601.5143.5655.6080.6562.6882.7247.7584.7860.8153.8398.8632.8867.9059.9252.9442.9601.9757.9914.10047.10174.10297.10407.10511.10609.10699.10776.10853.10926..10986.11039.11091.11143.11183.11214'1244.11273.11303.11567.11820.12065.12299.12524.SY-1533.7-449.6-23.8227.72023.03125.14062.34851.05585.56168.46753.17256.27729.08170.58575.28969.09309.99642.09970.210240.010507.010768.010998.011206.011412'11602.011775.011931.012080'12226.012356.012472.012582.012691.012795.012878'12959'13040.013121.013186.013242.013300.013358.013416.013182'12956.012741.012536.012341.0SZ18740.022212.023644.024080.024327.024510.024475.024534.024533.024609.024625.024749.024826.024911.025047.025146.025266.025393.025516.025632.025742.025853.025980.026067.026153.026266.026353.026414'26487.026568.026626.026660.026710.026759.026798.026808.026828.026847.026864.026857.026849.026840.026829.026818.026775.026734.026692.026648.026604.0VSZ13439.518493.120993.621994.022710.123229.423453'23719.223902.124125.124275.324521.024704.724886.725115'25299.025493.825694.025888.126063.126231.026398.526578.526709.926840.226997.227122.927217.227323.427437.727524.127581.527655.427728.127788.727814.227849.727884.227916.227919.327919.527918.727915.327912.227870.427830.627789.827746.327703.1PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:23 BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY
    • 32-123S127-02 Table6.4STEADYSTATE,Tref70F,Tunif=653F,P=2400PSZGSTRESSESWZTHERMALSTHOUTCFWITH1.2SCF~ONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.3599'3.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-3281.3-156.32331.33706.34926.75382.56081.66551.06969.97285.67651.47839.68076.68285.58425.78587.68709.88819.18924.69008.39092.09170.79225.99290.69354.193.95.09440.39489.09526.99558.09591.29625.89648.79671.09693.29715.39730.79745'9759.99774.19783.59792.69801.39809.710034.010250.010457.010655.010846.0SY478.11203.21373.31568.83540.34706.35658.26399.57059.47534.57999.48361.18690.78984.49233.49473.29667.69849.910025.010163.010297.010424.010528.010625.010720.010799.010873.010942.011005.011064.011119.011170.011217.011263'11308.011349.011387.011425.011463.011499.011532.011565.011598.011632.011427.011229.011039.010858.010686.0SZ32074.033605.033377.032639.031826.031127.030290.029651.028985.028484.027950.027560.027167.026816.026529.026233.026000.025779.025560.025391.025221.025055.024923.024791.024658.024553.024448.024343.024250.024166.024081.023996.023926.023855.023784.023715.023656.023595.023535.023475.023423.023370.023317.023264.023211.023160.023108.023056.023003.0SZ29440.332164.732673.232264.831708.931169.830431.429859.629244.528775.128265.327894.227513.927172.726893.626603.426374.626157.225940.925773.925605.825440.925310.125178.725046.224941.624836.924732.024639.024555.324470.124384.724314.624243.324171.924102.624043.323981.823921.423860.923808.323754.723700.923647'23593.623541.823489.023435.923381.9PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:24, pl BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY
    • 32-1235127-02 Table6.5COOLDOWN-1, Psat=1472 PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200'2400'3600.44800.56000'7200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192~46392'7592.68792.79992.91193.02393.13593.24793'5993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-1570.8702.62447.13354.64226.84436.04868.45119.25317.25449.65622.65649.75725.65782.75783.95805.35804'5792.65775.25754.85733.25706.45666.75641.55614.45571.25537'5510.85476.85438.15406.75382.45350'5318.35288.75268.95245.05220.75196.05181.15166.95152.35137.55122.45233.35339.65441.35538.65631.5SY738.81302.81350.61419.93004.33871.34536.85025.95432.45688.65928.96087.56218.66322.26391.26452.36485.46508.36524.46523.76519.56510.26489.46470.56449.26418.96390.66365.26335.96303.96275.86252.66226.16199.16174.56158.86141.26123.46105.56097.56091.66085.86080.06074.25960.45850.35744.75643.35546.4SZ24997'26308.026075.025288.024449.023660.022761.022012.021247.020613.019967.019425.018900.018415.017977.017545.017173.016810.016451.016150.015850.015555.015292.015046.014801.014574.014362.014164.013973'13788.013617.013461.013313.013166.013026.012910.012798.012687.012576.012488.012412.012335.012259.012183.012138.012094.012050.012005.011961.0SZ24446.626564.026764'26112.425363.024600.023684.422905.222100.121420.120725.320134.319560.319027'18541.818063.317648.017241.716839.516500.216162.215829.315530.615252.014974.614715.314474.014249.314031'13820.013625.113448.113279.013111.112951.612820.712693.312567.312441.212342.712257.512171.212086.112001.011953.011906.011859'11810.811763.9PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:25 BOWNUCLEARTECHNOLOGIES
    • BWNTNON-PROPRIETARY
    • 32-1235127-02 Table6.6COOLDOWN-2, Psat=1232 PSIGSTRESSESWITHERMALSTHOUTCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601F00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-1131.7875.92390.73159.73934.44084.54449.94649.14796.94889.05018.95013.35055.35081.05055.05048.35024.14988.44947.64907.24865.64818.84761.54719.24674.74616.04566..94526.34478.84427.14383.44347.84305.74263.04223.54195.64164.24132.54100.34079'4060.84041.74022.34002.74086.84167.24244.14317.54387.4SY694.81231'1265.81310.02771.63553.54141.84566.64911.05116.45305.25419.35507.55570.75602.55626.85627.45618.45602.85574.95543.65507.55462'5421.25377.45326.05278.15234.15187.05137.45093.2.5055.15014.34973.04934.74907.44878.64849.64820.34803.14789'4775.14761.14747'4655.34566.44480.94398.84320.1SZ223952371423554228212203521278204131968018932183021766217114165851609315643152011481514439140661374913435131241284412584123251208111854116431143911240110561089010732105731042310300101811006299439851977296939614953594939451941093699327.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.8.8.7.6.5.3.2.9.6.2.7SZ22229F124267.324476.823842.223114.422359.921458.420678.919875.819187.518486.717878.917290.916741.616235.115738.115301.014874.314450.614088.613730.213374'13052.712754.612457.712175.911914.411672.111436.811206.810994.610804.010621.510437.810264.910124.29987.39850.69714.69610.19520.39430.59340.69250.79205.29160.59115.99071.09026.1PreparedBy:T.M.WierReviewedBy.:A.M.MillerDate:Date:Page:26 BOWNUCLEARTECHNOLOGIES NON-PROPRIETARY
    • 32-1235127-02 Table6.7COOLDOWN-3, Psat=607PSIGSTRESSESWITHERMALSTHOUTCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601'0801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX57.31224'2018.22366.12858.62859.83050.53126.03158.03162.93198'3131.73107.03072.62999.82943'2878.42804.72726.32655.42582.92506.12424.42356.72287.12207.92138.32077.22011.61943.21883;21831.91776.81721.21669.21630.51589.81548.81507.51479.41454.91430.21405.11379.81402.81424.51444.81463.81481.5SY340.1817.4840.3825.91898.72429.02801.83058.03246.63334.53406.43426.83426.23408.33369.23323.63265.03199.33128.33054.42978.02898.22815.52738.32659.42576.42499.02427.12353.52278.42210.32149.92088.12025.81967.11922.01876.01829.71783.11750.91723.41695.71668.01640.11601.21563.31526.61490.91456.4SZ13615.015087.015283.014838.014332.013780.013130.012552.011958.011433.010905.010432.09975.59545.69140.78746.98392.88045.07700.27401'7104'6811.36539.76290.46042.45802.15580.85376.75176.24978.04798.04637.44480.04323.04175.04057.43941.53825.93710.53625.03551.63478.23404.93331.83300'3270.23239.73209.33178.8SZ14049'16040.316473.316060.015558.914972.314259.613615.312949.112352.411751.911208.810684.110188.59719.19263.08850.98445.78043.77693'7347.27003.86684.86392.56101.85818.85558.75319.15083.24849.74637.94449.44264.04079.13905.03767.33631.23495.43359.83260.23174.63089.03003'2918.32883'2849'2815'2781'2746'PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:27 BEc'PJNUCLEARTECHNOLOGZES
    • BWNTNON-PROPRIETARY
    • 32-1235127-02 Table6.8ENDOFCOOLDOWN, P=0PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591'6791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX-408.5141.8671.7968.21026'1033.01020.8981.6930.7867.3799'721.0642.6562.3477.9393.6312.3228.8143.366F1-12.1-91.5-167.6-237.8-308.9-379.6-445.3-506.3-567.0-627.7-683.1-732.8-781.7-830.7-877.0-913.6-949.7-985.6-1021.5-1047.5-1069.4-1091.2-1112.9-1134.5-1167.0-1198.4-1228.9-1258.4-1286.9SY1474.91166.1945.8890.61004.81048.01063.31041.51003.0943.2876.2794.6710.0621.0526.1430.5335.9238.8139.648.1-44.3-137.8-227.7-310.8-394.5-478.0-555.1-626.1-697.2-768.3-832.4-889.2-946'-1002.9-1056.4-1097.6-1139.1-1180.8-1222.8-1252'-1277.6-1303'-1329.1-1355.2-1335.91317~7-1300.7-1284.9-1270.3SZ9157.47776.06596.75783.75081.04499.23979.73533.73110.82744F92396.62072.21772.01490.21218.1960.1722.8489.4259.456.3-143.6-341.4-529.0-697.9-865.3-1032.6-1184.6-1322.6-1460'-1597.9-1720.8-1828.5-1936.8-2044.5-2144.9-2222'-2299.8-2377'-2453.8-2507.4-2553.4-2599.1-2644.4-2689'-2701.7-2714.0-2726.0-2737.7-2749.0SZ10988.99331.27916.06940.46097.25399.04775.64240.43733'3293.92875.92486.62126.41788.21461.71152.1867.4587.3311.367.6-172.3-409.7-634.8-837.5-1038.4-1239.1-1421.5-1587.1-1752.5-1917.5-2065.0-2194.2-2324.2-2453.4-2573.9-2666.5-2759.8-2852.4-2944.6-3008.9-3064.1-3118.93173~3-3227.3-3242.0-3256.8-3271.2-3285.2-3298.8PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:28

B&rfNUCLEARTECHNOLOGIES NON-PROPRIETARY

    • 32-1235127-02 Table6.9PRESSUREONLYATSTEADYSTATE,P=2250PSIGS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192'6392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.3678'4.47984.59184.70384.81584.92785.03985.15185.26385.3758STRESSESWITHERMALSSY3634.13040.12733.22906.63907.94642.95310.35811.86288.16643.56997.37268.27526'7756'7949.98140'8295.28440.18580.38691.68800.08903.58988.19069.09147.89214.19277.19337.59393.09445.29495.89544.99589.49634.09678.49721.59761.69801.99842.49882.69919.79956.99994'SX-6135.0-2413.71029.43102.04040.04710.55309.25736.46146.06428.96710.76914.17103.67266.97397.17526.97623.57714.07803.07867.57932.57995.68043.18091.38139.68175.38210.98246.68276.28301.88327.18351.88369.38386.68403.58418.48429.38440.38451.28460.98467.48474.08480.88487.88682.28869.39049.39222.39388.310031.09862.29698.99542.79393.59251.3WITH1.2SCFONTHERMALSZXXXTHOUTCFSZ42415.038256.034590.032353.030386.028981.027734.026820.025957.025339.024725.024271.023843.023468.023162.022857.022619.022395.022177.022009.021841.021680.021551.021424.021297.021197.021097'20998.020911.020831.020752.020674.020609.020544.0'0479.0 20416.020362.020307.020253'20199.020153.020106.020060.020013.019967.019923.019878.019834.019789.0PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:29 BRWNUCLEARTECHNOLOGIES
    • BWNTNON-PROPRIETARY
    • 32-1235127-02 Table6.10LOSSOFSECONDARY PRESSURE-1,T=0.010,P=310PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMAL0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991'9191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984'3184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX2295.12366.72150.71851.82023.41710.01674.61601.31471.51401.61379.51271.01236.71216.61165.71139.01129.91113.01091.41092.31092.11088.51083.21089.91095.11094.31097.91105.21109.81112.51117.01123.11126.81130'1133.61137.91140'1143.71146.21149.01151'1153.01154'1156.21183.11208.81233.51257'1279.8SY639.7877.6600.6366.11256.91544.11679.31749.71742.71704.81669.71607.21558.61521.01475.21437.61416.21392.71367.51359'1350.81341.91334.91334.51334.01332.51333.01335.71338.01340.01342.51345.81348.81351.81354.81357.71360.51363.31366.21368.71371.01373.51376.01378.61353.11328.51305.01282.61261.2SZ8290.49822.59932.29277.88725.28014.07321.96732.46116.75652.55234.54839.34530.54278.64037.83831.43690.23551.53413.83335.23258.93183.73123.53082.13040.93003.92974.12950.92929.62909.42892.02877.72865.42853.12841.32831.52822.92814.22805.52797.42790.62783.72776.62769.62762.92756.42749.82743.12736'8779.710732.810965.510241.99632'8818.28022.17339.86624.86084.85600.15138.44779.64487.64207.13967.83805.03644.73485.53395.83308.83223.03154.43108.23062.23020.62987.62962.52939.32917.32898.62883.62870.62857.62845.22835.22826.42817.52808.52800.32793.42786.42779.22772.12765.32758.72752.02745.22738.3PreparedBy:ReviewedBy:T.M.WierA.M.MillerDate:Date:Page:30 B&WNUCLEARTECHNOLOGIES
    • BWNTNON-PROPRIETARY
    • 32-1235127-02 Table6.11LOSSOFSECONDARY PRESSURE-2,T=0.015,P=210PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX2043.42493.22665.62562.62669.32285.72149.81972.11724.11547.71413.31196.91062.7950.8809.5697.1621.1536.2444.2399.0352.3301.1256.8234.1209.2181.1162.3151.9140.1127'118.8114'110.3105.4101.'2100.199.097.796.396.196.496.797.097.3100.6103.8106.9109'112.7SY2272.82111.61564.21241'2101.12320.22366.12320.92181.82013'1844.71643.31468.11311.01145.5996.8883.2767.5649.5575.3502.5429.5367.4325.8284.4244.0213.5192.7172.5152.8138.6130.4122.6115.0109.0107.7106.4105.2104.1105.2106.8108.4109.9111.4111.7112.0112.2112.4112.6SZ16343.016086.014776.013160.011786.010380.09102.28008.86916.96062.05288.94552.83961.43460.92976.32558.32249.41945.51645.21458.81278.61100.9952.0851.3751.9655.4581.8529.4478.4428.5390.3364.5339.7315.4294.0281.8270.1258'247.7240.7235.3230.1225.2220.6218.2216.0214.0212.2210.5SZ18819.918589.117085.515188.113576.011915.010404.99109.97815.76801.45885.15010.34308.63715.03139.22643'2277.11916.61560.31339.71126.6916.4740.1621.6504.7390.8304.4243.3183.8125'81.051.523.0-5.0-29.5-43.0-56.0-68'-80.8-88.3-93.9-99.2-104.2-108.9-110.9-112.7-114.3-115.7-116.8PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:31 B&QNUCLEARTECHNOLOGIES
    • BWNTNON-PROPRIETARY
    • 32-1235127-02 Table6.12LOSSOFSECONDARY PRESSURE-3,T=0.0201P=185PSIGSTRESSESWITHOUTTHERMALSCFWITH1.2SCFONTHERMALS.0.00000'1200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384'5584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SX1500251132413441354031292930267423342065183015131282107784263948632315146-59-171-269-334-402-471-525-564-603-642-673-695-715-736-756-766-776-786-796-802-806-809-812-815-833-850-866-881-895~4.6.7~3~4.7.9.7.8~4.8.7~4.3~4~4.9.7.2.9.8.7.2.3~4.7.2.0.2.8.9~4.9.9.0.8.6.6.5~4.0~4.6.7.3.0.0.3.8SY3990.93432.72625.12234.23117.23315.13316.53191.92956.42681.62399.92075.11782.91511.11227.6966.7754.3538.5319.3167.317'-133'-264.6-361.1-457.2-551.1-625.5-681.4-735.9-789'-830.6-858.3-885.2-911.7-934.2-944.4-954.5-964.6-974.5-977.5-978.6-979.9-981.5-983.3-960'-938.9-918.3-898.6-880.0SZ26048.023922.021115.018499.016257.014133.012237.010616.09025.27753.36593.25491.74583.33796.43033.32365.01845.61334.5830.2492.8165.6-157.3-435.5-634.4-830.6-1024.3-1175'-1287.7-1398.5-1508.0-1592.8-1651.5-1709.7-1766.9-1816.9-1844.7-1872.4-1899.2-1925.4-1939.9-1950.7-1960.9-1970.5-1979.5-1980.3-1980.8-1980.9-1980.5-1979.6SZ305602807724769216661900816483142281229810403888775056190510741693259246218421233631229-160-545-877-1113-1346-1577-1757-1890-2022-2152-2252-2321-2390-2458-2517-2549-2581-2613-2643-2660-2672-2683-2694-2704-2704-2704-2704-2702-2700.1.3.2.8.7.0.3.2~4.3.3.9.9.8.1.1.8.1.6,4.5~3.0.5.9.7.6.5.1.2.6.8.5.1.04.7.0.5.0.2.7.5.5.7.6~0.8.9IPreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:32 14'I4 BOWNUCLEARTECHNOLOGIES
    • BWNTNON-PROPRIETARY
    • 32-1235127-02 Table6.13LOSSOFSECONDARY PRESSURE-4,T=0.063,P=116PSIGS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392'7592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758STRESSESWITHERMALSSY12867.010563.08736.58235.79692.410260.010509.010380.010068.09522.38900.68128.17312.86447.75522.54,587.03659.42707.71733.5844.6-52.4-960.4-1826.9-2613.7-3405.7-4195'-4908.5-5549.2-6188.9-6828.9-7390.7-7869.0-8346.4-8825.3-9269.7-9594.4-9920.7-10249.0-10579.0-10803.0-10991.0-11181.0-11374.0-11569.0-11392.0-11225.0-11069.0-10922.0-10786.0SX-3873.71715.56852.09623.110312.010289.010200.09828.89326.08711.38066.57290.86529.65746.84911.54085.83289.32469.61628.5881.9125.4-644.21377~2-2037.6-2706.6-3375.1.-3980.3-4526.6-5072.1-5617.5-6100.7-6516.6-6926.3-7337.0-7720.7-8008.2-8290.3-8572.2-8854.0-9050.7-9212'-9372.7-9532.7-9692.2-9957.5-10214.0-10463.0-10703.0-10935.0WITH1.2SCFONTHERMALTHOUTCFSZ86107.074667.064405.056957.050389.044855.039860.035555.031453.027886.024484.021310.018359.015582.012897.010351.08015.05714.83445.91468.2-478.9-2406.3-4219.1-5822.0-7411.4-8997.9-10409.0-11656.0-12901.0-14144.0-15224.0-16132.0-17046.0-17954.0-18791.0-19399.0-20012.0-20620.0-21225.0.

-21631.0-21973.0-22312.0-22647.0-22979.0-23063'-23147.0-23228.0-23306.0-23382.0VSZ102891.189205.976929.368014'60153.553527.247546.042389.537476.033201.929125.925321.721785.018456.415237.612185.59384.86626.83906.41534.9-799.9-3111.1-5285.1-7207'-9113.3-11016.0-12708.3-14203.7-15696.8-17187.6-18482.8-19571.6-20667.7-21756.6-22760.4-23489'-24224.4-24953.4-25678.8-26165.5-26575.4-26981.7-27383'-27781.2-27881.5-27981.8-28078'ges33aand33bvebeeninsertedtween33and34.Pa-28171.7ha-28262.4bePreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:33 II)4, B&WNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 Table6.14FLUCTUATION DN-20FSTRESSESWITHOUTTHERMALSCFSTEPDN,100PSIDECREASETO2150PSIGWITH1.2SCFONTHERMALS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391'5591'6791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184.14384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758SZ42469.239620'36599.234476.032533'31049.229644.928551.827496.426679'25865.125211'24592.524033.123543.223064.122665.822282.821906.021603.521303.421010.120757.720524.320291.720085.019892'.219712.119543.819382.419232.619096.018971.718847.818728.418626.618533.018439.218346.018266.318198.818130.618063.117995.017944.417896.017846.517798.017748.9SZmod42857.040233.837308.535188.233233.031720.430273.629136.628035.027172.726312.925615.624954.424354.723825.323308.722876.222459.422048.921718.121390.021068.820790.620534.820280.020051.019838.719641.619456.319277.919113.218964.118827.418691.118560.318450.218348.218246.118144.618059.417987.117914.317842.117769.217717.417667.717616.917567.117516.8PreparedBy:ReviewedBy:T.M.WierA.M.MillerDate:Date:Page:33'.

BSWNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 Table6.15FLUCTUATION UP-20FSTEPUP,100PSIINCREASETO2350PSIGS0.00000.11200.22400.33600.44800.56000.67200.78400.89601.00801.12001.23191.34391.45591.56791.67991.79191.90392.01592.12792.23992.35192.46392.57592.68792.79992.91193.02393.13593.24793.35993.47193.58383.69583.80783.91984.03184'4384.25584.36784.47984.59184.70384.81584.92785.03985.15185.26385.3758STRESSESTHERMALSZ34299.132939.531126.629855.128685.627852.827039.126474.625920.325552.225164.124919.524673.824465.224320.124161'24054.123958'23864.723800.723734.323672.923638'23589.323540.223518.723487.323446.823418.523397.723368.923331.623308.823285.523258.523221.823194.723166.623138.323101.023068.523034.923001.222966.922921.222877.422832.722787.922742.4WITHOUTSCFWITH1'SCFONTHERMALSZmod32298.931536.230126.429068.028075.527369.526653.626167.225682.225369.725032.224833.524628.024456.024345.824219.424140.124071.824005.223963.423918.923878.723863.823831.923799.523794.623777.823749.923734.123725.823707.823679.423665'23651'23632.423601.523580.323558.023535.423501.923472.423442.023411'23379.823334.523291.223247'23202.323157.1PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:33b L)t III~~IIre~I~ssaseeaaamww&w~~~~~

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(~10'1)SZANSYS5.0AJUN21199510:43:53PI.OTNO.POSTISTEP=4SUBTIME=%PATHPI,OTN001=2N002=108ZV=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIOHIOOENR.20710mSY0gI014370.047+8051.0752.150+5371+d132Idm302253.7d34.3015o37dEQrtr~~DISTSTEAOYSTATE,TreI=10F,Tunif=653F,P=2400PSIG

SScr-4SQSSQW'C'C(~109fl)211ANSYS5.0AJUN211095IO:43:57PI.OTNO.5P05'TISTEP=5SUBTIME=5PATHPI.OTN001=2NOOZ=I08ZV=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIDHIDDENRnneeSSSZg0g0MSY329.5773.baal0Oed371.07d1+613COOlOOWN-I,Psa1=1<72PSIG2old2I665DEST3o763io301o3764)h)IMVlVlhlICIhl (a10991)214191ANSYS5.0AJUN21199510:44:02PLOTNO.6POSTISTEP=6SUB=ITIME=6PATHPI.OTN001=2N002=108ZV=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIOHIDDEN760.06SZ0gI0HSY299.d708~~69.4750Oslo1s0751e615COOI.OOWN.2, Psal=1232 PSIG2.152edbbDIST.2254o3015+5765o7654.515bbIhD4JVlIC)h)

(a104'ANSYS5.0AJUN21IS95IO:44:06PI.OTNO.7POSTISTEP=7SUB=ITIME=7PATHPI.OTN001=2N002=1082V=IOIST=0.75 XF=0.5YF=0.5ZF=0.5CENTROIDHIOOEN7Il.i631~Slg0g0ÃH0a183.SY3io00700.5371a0751+613COOI.OOWN-3, PsaI=607PSIG2o152+6MDIST3.763is3015.376MhPIhPVJUlhPICIhP 91ANSYS5JUN21IO:(4:IPLOTNOPOSTI5I'P=8SUBTIME=8PATHPI.NOD1=2NOD2=10ZV=IDIST=0.XF=0.YF=0.ZF=0.CENTROI.0A1995I8OT75555DHIDDEN-3d7o7svSZ0gI0t(fH14M74900.537lo075lod13ENDOFCOOLDOWN, P=0PSIG2s15DIST302254.3015o3762odb53.7634s63$4Jh)IM4lVlh)IM 8Sr-'d088PAWWzr.8(a1040O424ANSYS5.4AJUN21Icq510:44:15PIOTNO.9POSTISTEP=9SUB=II'ME=9PATHPLOTN001=2NOO2=1002V=I17ISTc0.75 XF=0.5YF=0,5ZF=0.5CENTROIOHIOOENn520gI0HWSY670.18~~273.3la01.0752o15OI5371+6133.225ho3010.3762odbb3e763heKRDISTPRESSUREONLYATSTEAOYSTATE,P=2250PSIG4Jh)Ih)GJUlIh)IoM

ANSYS5.0AJUN21199510:44:20PLOTNO.10POSTISTEP=IOSUBTIME=10PAI'HPLOTN001=2N002=108ZV=IDIST=0.15 XF=0.5YF=0.5ZF=0.5CENTROIOHIOOEN6151441SZ0gI0HWSY366al30OICP1+075le6132m152+6Mo2254+3015+3763.7IL$4eMdDlSTLOSSOFSECONOARY PRESSURE-I,1=0.010,P=310PSIG4lMIM4JVlhlIEDbJ

(~1040O14114ANSYS5.0AJUN21105510:41:24PLOTHO.11POSI'STEP=IISUB=ITIME=IIPAT'NPlOTH001=2H002=108LV=IDIST=0.15 XF=0.5YF=0.52F=0.5CENTROIOHIDDENRnn9M.71497.335,1172.S2SYgOgI0HKlg8~~10.4060I5371a0751+6132,153e2254.3015.3762odbb3e7634m535DISTlOSSOFSECOHOARY PRESSURE-2,T=0.015,P=210PSIGLa)IM4JUlh)IM

'$41 (s109$O17ANSYS5.0AJUN211995IO:41:29PLOTNO.12POSI'STEP=12SUB=ITIME=12PATHPLOTNOD1=2NOO2=1002V=IOIST=O.)5 XF=0.5YF=0.5ZF=0.5CENTROIOHIOOENnnOQH642o73d2o4II2.152STg0gI0HK8~~-19bo0900.5371.075l.dl32olm2odbb3e7d34.3014eESDISTLOSSOFSECONOARZ PRESSURE.3,T=0.020,P=185PSIGOo37d4JMIIhl4JUlIIEDh)

[I10661)661ANSYS5.0AJUN211995I0:11:33PLOTNO.13POSTISTEP=13SUB=I'TIME=13PATHPI.OI'001=2 N002=1082Y=IOISI=0.15XF=0.5YF=0.52F=0.5CENTROIOHIOOEN946o4-146+39-12SYSLgOgI0HPl0.5371+0751o6132o162.666~2264o3613+7634.636,DISTlOSSOfSECONOARY PRESSURE~1,T=0.063,P=116PSIGo3764JMIMVlUlMIM 4BOWNUCLEARTECHNOLOGZES

    • BWNTNON-PROPRZETARY
    • 32-1235127-02 7.0ANSYS5.0AVerification TheANSYSanalysiscode,versionS.OA,wasverifiedusingclosedformsolutions forhoopstressinasphereandstressconcentration factors.Thefollowing comparison offiniteelement(FE)stressresultsandclosedformsolut'nsindicated thatthesoftwareprovidedaccu.ateresults.Therefore, ANSYS5.0Awasverifiedforthisapplication.

FiniteElementResultsfromTableDistanceHooStress0.0(clad/base) 42,4152.6879(midbase)21,2975.3758(external) 19,789HoopStress(usingthinshelltheory)6.9,Pressure=2250psiaSzpsipsipsie=pr/2tRef.[5,Table28case3a.]e=2250(73.63)/[2(4.094)]=20,233psiComparedto:21g297psi(FE),b%')21297/20233

-1)(100%)=5.26%'nd19,789psi(FE),b%')19789/20233

-1~(100%')

=2.19%'hese percentdifferences areattributable tothedifferences b'etweenthinandthickpressurevesseltheoryandthefactthatatthemidpointofthelinetheremaystillbesomestressconcentration effectduetothepenetration.

StressConcentration atHoleSCF=a,,/e,=42415/19789

=2.143(FE)kComparedto2.0(fromSect.3.3),h%=]2.14/2.0

-1](100%)=7.2%PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:48

'J B&W'UCLEAR TECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02

8.0 References

1)ASMEBoilerandPressureVesselCode,SectionZZI,Division1,Appendices, 1986EditionwithnoAddenda.2)BWNSDocumentNo.51-1155656-00, "Standard Correlations forNaturalConvection".

3)BWNSDocumentNo.NPGD-TM-500, "NPGDMaterialProperties ProgramUser'sManual",Rev.D,March,1985.4)Harvey,J.F.,"TheoryandDesignofModernPressureVessels",

VanNostrandReinholdCo.,NewYork,1974.5)Young,W.C.,"Roark'sFormulasforStress&Strain",6thEditionMcGraw-Hill, NewYork,1989.6)DeSalvo,G.J.andGorman,R.W.,"ANSYSUser'sManualforRevision5.0",1992,SwansonAnalysisSystems,Houston,Pennsylvania.

7)BWNTDocument32-1235128-02, "FMAnalysisofSt.LuciePressurizer Instrument Nozzles".8)BWNTDocument38-1210588-00, "Pressurizer Instrument Nozzles,FMDesignInput,"forSt.LucieUnit2,dated11/11/94(FP&LNumberJPN-PSLP-94-631, File:PSL-100-14).

9)FloridaPower&LightDrawingNo.2998-19321, Rev.0,"TopHeadInstrument NozzlesRepair".10)FloridaPower&LightDrawingNo.2998-18709, Rev.1,"Pressurizer GeneralArrangement".

11)Arpaci,V.S.,Conduction HeatTransfer, Adelson-Wesley Publishing, 1966.12)*FloridaPowerandLightDrawingNo.2998-18594 Rev.0,"Pressurizer TopHeadDetailsandAssembly."

13)Peterson, R.E.,"StressConcentration Factors",

Wiley&Sons,1974.*References markedwithan"asterisk" areretrievable fromtheUtilities RecordSystem.AhorizeProjectger'sSignature PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:49 BSc't~'UCLEAR TECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02

9.0 Microfiche

Thefollowing tablecontainsalistofmicrofiche oftheANSYSS.OAcomputeroutput.Thenodesandelementswereidentical amongallthemodels.FILENAMEFILEDATEDESCRIPTION SPHTHERM.OUT6/20/95Composite transient thermalrunsincluding 100'F/hrHeatup,53'FStep-down, 53'FStep-upand200'F/hrCooldownSPHTHLP.OUT SPHSTRES.OUT MATPROP.MAC6/20/956/21/956/14/95LossofpressurethermalrunStressrunsforallcasesMacrofilecontaining allmaterialpropertydateusedintheanalysis.

PRESS.MAC 6/15/95MacroforapplyingpressureduringthestressrunsFILMCOEF.MAC 6/14/95MacroforapplyingthermalloadsduringthermalrunsPreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:50

'4\>

B&VlNUCLEARTECHNOLOGIES

    • BWNTNON-PROPRIETARY
    • 32-1235127-02 ComputerOutputMi.crofiche PreparedBy:T.M.WierReviewedBy:A.M.MillerDate:Date:Page:51 rtl
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