ML17292B658
| ML17292B658 | |
| Person / Time | |
|---|---|
| Site: | Columbia  |
| Issue date: | 05/29/1998 |
| From: | WASHINGTON PUBLIC POWER SUPPLY SYSTEM |
| To: | |
| Shared Package | |
| ML17292B657 | List: |
| References | |
| ME-02-98-04-01, ME-02-98-04-R00, ME-2-98-4-1, ME-2-98-4-R, NUDOCS 9905130171 | |
| Download: ML17292B658 (30) | |
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{{#Wiki_filter:SUPPLEMENTAL INFORMATION ANALYTICAL EVALUATION OFINSERVICE INSPECTION EXAMINATION RESULTSAttachment ACalculation ME-02-98-04, "Fracture Mechanics Evaluation ofNlSafeEnd,"Revision09905i30i7i '990429PDRADOCK050003978PDR WA5HINGTON PtMICFOWRRk9SUPPLYSYSTEMCALCULATION COVERSHEETBDCPageEquipment PieceNo.MS-RPV-3ProjectDiscipline WNP-2PageQooCalculation No.ME-02-98-04 Cont'donPage0CIMATERIALANDWELDINGRemarksQualityClass1i"k":TiUe/Subject FRACTUREMECHANICS EVALUATION OFN1SAFEENDPurposeAfracturemechanics evaluation wasperformed toevaluateaplanarindication foundduringin-service inspection ofISIweldnumber24RRC(2)A-1. Theindication isontheinsidesurfaceofthesafe-endandIslocatedat5:00o'lockwhenlookingdownstream. Theindication measures3.52inchesinlengthand0.29inchesdeepinapipewallthatis2.0inchesthick.Theindication existsinSA336ClassF8forgedtype304stainless steelsafe-end. ThesizeofthedefectexceedstheASMECodeSectionXITableIWB3514-2allowable andthusrequiresanevaluation perparagraph IWB3640oftheCode.Thefollowing calculation providesacomprehensive presentation ofthefracturemechanics model,appliedloads(stresses), andCodeevaluations /Wwc-opc-<0CIN//ra,a50IQ.lcd&~o~REVNO.0STATUS/F,P,ORSFInitialIssueREVISIONDESCRIPTION INITIATING DOCUMENTS PER298-0600TRANSMITTAL NO./7ws";;~X@5$~~~~N~PRVNN!'%'%Ã4o-".NN%-:K%%8PERFOR MAMCENERIFICATIOM!RECORD."'~%5~.';.ANNPAN%%%""':R~%%FN."N&%@5%% REVNO.0PERFORMED BY/DATETomErwinVERIFIEDBY/DATE5gvAPPROVEDBY/DATE6-'3>-gStudyCalculations shallbeusedonlyforthepurposeofevaluating alternate designoptionsorassisting theengineerinperforming assessments. 968-18645R4(6/98)
WA58lNGTON tURLlCtOWER:43SUPPLYSYSTEMCALCULATION INDEXPageCalculation No.ME-02-98-04 RevisionNo.0Cont'donPageITEMPAGENO.SEQUENCECalculation CoverSheetCalculation IndexVerification Checklist forCalculation andCMR'sCalculation Reference ListCalculation OutputInterface DocumentRevisionIndexCalculation. OutputSummaryCalculation MethodSketchesManualCalculation 1.000-1.100-1.200-1.300-1.400-2.000-3.000-4.000-Q,~095000-g0i~APPENDICES: AppendixAPagesAppendixBPagesAppendixCPagesAppendixDPagesAppendixAppendixAppendixAppendixPagesPagesPagesPages96S.25278 R2(3/SS) WA5HINGTON PlSLICl'OWaa..~3SUPPLYSYSTEMVERIFICATION CHECKLIST FORCALCULATIONS ANDCMRsPageCont'dOnPage/,3QQCalculation/CMR ME-02-98-04 verifiedusingthefollowing methods:Checklist BelowRevision0wasQAlternate Calculations Checklist ItemClearStatement ofpurposeofanalysisMethodology clearlystatedandsufficiently detailedandappropriate toproposedapplication Logicalconsistency ofanalysis~Completeness ofdocumenting references ~Completeness ofdocumenting andupdatingoutputinterface documents Completeness ofinputAccuracyofinputdataConsistency ofinputdatawithapprovedcriteriaCompleteness instatingassumptions Validityofassumptions Calculation sufficiently detailed~Arithmetical accuracy~Physicalunitsspecified andcorrectly usedReasonableness ofoutputconclusion Supervisor independency check(IfactingasVerifier) -Didnotspecifyanalysisapproach-Didnotruleoutspecificanalysisoptions-Didnotestablish analysisinputsInitial~Ifacomputerprogramwasused:-Istheprogramappropriate fortheproposedapplication? -Havetheprogramerrornoticesbeenreviewedtodetermine Iftheyposeanylimitations forthisapplication? -Istheprogramname,revisionnumberanddateofruninscribed ontheoutput?-Istheprogramidentified ontheCalculation Methodform?Ifso,isitlistedinchapter10oftheEngineering Standards Manual?OtherElementsConsidered ~Ifaseparateverifierwasusedforvalidating thesefunctions oraportionofthesefunctions, signand'initial below.Basedontheforegoing, thecalculation isadequateforthepurposeintended. VerifierSignature s)/DateVerifierInitials968-2528O R1(3I98) QgSUPFL~SYSTEMCALCULATION REFERENCE LISTPAGE00CONT'DONPAGECALCULATION NOoME-02-98-04 REVISIONNO.0SEQUENCENO.AUTHORFailureAnalysisAssociates SupplySystemEPRINRCASMEBurns6RoeASMEISSUEDATEgEDZTIONiORREVZSZO2.235-14-981986198819905/7/761989TITLENASCRACManualUltrasonic Examination DataSheetEvaluation ofFlawsinAustenitic SteelPipingTechnical ReportonMaterialSelection andProcessing Guidelines forBWRCoolantPressureBoundaryPipingASMESectionXZ,Nonmandatory AppendixCHanfordZZ251"BWRVesselStressReportT9,S9,F9Recirculation OutletNozzleASMESectionXIDOCUMENTNO~R-R13-031 NP-4690-SR NUREG-0313,Rev.2 FigC-3210-1T9,S9,F9IWB-364010S.T.RolfeJ.M.BarsomASMEStructural Integrity J.F.Harvey 19771986March19981985FractureandFatigueControlinStructures ASMESectionIII,Appendices TheEffectofRadiation ontheFractureToughness ofAustenitic Stainless SteelBaseandWeldMaterialTheoryandDesignofPressureVesselsAppendixITableZ-2.2SZR-97095pg6144458tI0/89)' WA5BINGTON ttiaLIC?OW81 k9SUPPLYSYSTEMPreparedBy/DateTomEtwinCALCULATION OUTPUTIN'IXRFACE DOCUMENTREVISIONINDEXVerifiedby/0teRPage00c)Cont'dOnPageQ,4ooCslculstion No.ME-02098-04 RevisionNo.0Thebelowlistedoutputinterface calculations and/ordocuments areimpactedbythecurrentrevisionofthesubjectcalculation. Thelistedoutputinterfaces requirerevisionasaresultofthiscalculation. Thedocuments havebeenrevised,ortherevisiondeferredwithManagerapproval, asindicated below.AFFECTEDDOCUMENTNO.NoneCHANGEDBY(e.g.,BDC,SCN,CMR,Rev.)CHANGEDDEFERRED(e.g.,RFTS,LETTERNO.)DEPT.MANAGER'equired fordeferredchangesonly.968-25285 R1(3ISS) WA58INGTON tulLlCtOWRRI>SUPPLYSYSPIMCALCULATION OUTPUTSUMMARYPage,OOVCalculation No.ME-02-98-04 Cont'dOnPageQOQRevisionNo.0N1nozzlesafe-end. ThefirstmodeledthDiscussion ofResultsThreecomputerrunswereusedtoevaluatetheindication intheeindication usingthenormaloperational loadsofthesystem.Thesecondmodelusedthreetransients thatcouldpossiblyoccurinoneyearinterval. Thesetransients werethethermaldiscontinuity stress,OBEandSSE.Thismodelwasusedtodetermine thecrackgrowthexpectedfromthefatigueloadingatdifferent crackdepthsallowingdetermination ofwhenthecrackingwouldbecomeasignificant contributor tocrackgrowth.Thisallowedthedetermination thatthecrackgrowthwouldonlybecomesignificant attheendoftheintervalselectedforthenextinspection. Thethirdmodelusedtheadjustedcracklength(20:1ratio)asrequiredbyNUREG0313Rev.2fortheendoftheIGSCCcrackgrowthatR16asinput.TherequiredfatiguecyclesforOBEandSSEwerethanappliedtothiscrackdimension todetermine acceptability fortheinterval. REV.BARTheresultsofthecomputerrunsareasfollows:Theindication willgrowtoadepthof0.983"byR16ifIGSCCisactiveandthefatiguecyclesareexperienced Incomparing theresultstothe1989ASMESectionXICodeTablesIWB-3641-5 and-.6.Indication isacceptable forcontinued operation untilR16.Theweldwillbereinspected priortoR16,seePERA298-0600CAP1PTLA149503.Conclusions Takingintoaccountthefollowing conservatism's: 1.Theweldresidualstressdistribution usedisforanasweldedcomponent. Thestainless steelsafe-endtonozzleweldhadMSIPperformed onitduringR9.Thedistribution shouldbecompressive attheID.2.Thestressesareconservatively highduetotheuseofOBEstressesforsteadystatethermal.Alsothepressurestressusedisthehoopstressnottheaxialpressurestress.3.Nofaucetareevidentduringtheweldexamination thatwouldindicateIGSCCisactive.Ithasbeendetermined thatWNP-2mayoperateuntilR16beforereexamination ofthenozzletosafe-endweldhastooccur.Theevaluation demonstrates undertheworstimposedloadingconditions theflawmeetstheacceptance criteriaoftheASMESectionXIIWB-'3641-5 and3641-6.Themainfracturemechanism thatwillpropagate theflawisintergranular stresscorrosion cracking. IftheIGSCCphenomena. isactivetheindication willincreaseindepthto0.983byR16.whichislessthantheASMECodeallowable. 968-18652R2(3/98) WA5HINGTON tUSL1CtoWaa4JSUPPLYSYSTEMPreparedBy/DateT.M.Erwin AnalysisMethod(Checkappropriate boxes)O'.AT,C".T JT,ATTONMFTRODVerifiedby/DePageoOCalculation No.ME-02-98-04 RevisionNo.0Cont'dQnPage7.ooIHManual(Asrequired, documentsourceofequations inReference List)HComputerHIn-HouseProgramMainFrameHPersonalQComputerServiceBureauProgramQBCSQCDCQPCCQOTHERHVerifiedProgram:Codename/Revision NASCRAC2.23QUnverified Program:DocumentinAppendixBApproach/Methodology FlawEvaluation ProblemDuringtheperformance ofInservice Inspection ofthereactorvesselRRCAloopanindication was.discovered intheheataffectedzoneofthe24inchRRCsuctionnozzle(N1A)tosafe-endweld24RRC(2)A-1.Theindication isontheinsidesurfaceofthesafe-endandislocatedat5:00o'lockwhenlookingdownstream. Theindication measures3.52inchesinlengthand0.29inchesdeepinapipewallthatis2.0inchesthick.Theindication existsinductileSA336ClassFBforgedtype304stainless steel.Thedesignminimumwallbasedonfaultedpressureis1.01inches.Theremaining ligamentinthesafe-endis1.71inches.Theindication hasexistedforsometime.Duetochangesintheultrasonic techniques andtechnology theabilitytodetectmaterialvariations andconditions hasincreased. Anexampleofthisincreaseinsensitivity. isdemonstrated inthisexamination. ThesameweldwasexaminedduringtheR9outageandnoindication wasdetectedatthattime.However,usingthenewGEultrasonic datasystemthesamedatatapewasreviewedfromtheR9outageanditwasdetermined thatthesameindication existedatthattime.ThenewR13dataoutputandtheR9dataoutputwerecomparedandtheindication showsnochangeindepthorlengththatisnotwithintheinaccuracies oftheequipment. Theindication hasbeeninthesystemsinceatleastR9withnochangeindepthorlength.Theindication isrequiredtobeevaluated asanIGSCCindication eventhoughitshowsnoIGSCCcharactreistics. FlawEvaluation Thelinearindication wasevaluated usingtheNASCRACcomputercodedeveloped byFailureAnalysisAssociates. Thiscodeusesstressfieldinfluence functions asthebasisforflawpropagation. TheNASCRACmodelselectedisashellelementcontaining anelliptically shapedcircumferential flaw.Themodelisidentified as703intheNASCRACmanual.Thisparticular modelincludesthreecrackgrowthdegreesoffreedomencompassing therespective circumferential andcrackdepthcoordinates. Theevaluation wasperformed usingconservative linearelasticfracturemechanics principles. WA58INGTON Pl/5LICPOW51'lY9SUPPLYSYSHMCALCULATION METHOCONTINVATION PAGECont'dOnPageRevisionNo.Page7~~lg.80&Calculation No.f='-OP?P-oYAllModelsThemaximumfracturetoughness usedforthestainless steelmaterialwas150ksi~in.Thevalueisconservative andisapproximately onehalfofthefracturetoughness valuethatisachievable forthistypeofstainless steelproductform.(BWRVIPReportSIR-97-095) (10)LoadCombinations Theloadcombinations usedinthisevaluation areprovidedinsection5.0ofthiscalculation. Thefollowing providesthecombinations usedbyeachofthemodels.N1IGSCC.IN TheIGSCCcalculation fornormaloperation wasperformed using11nodepointsfromtheI.D.toO.D.ForeachpointKminwascalculated bysettingthestressvalueequaltozero.Kmaxwasdetermined byconservatively combining theweldresidualstresses, circumferential pressurestress,deadweight andtheOBEstressthatincludesthermal(seesection5.0).Thenumberofcyclesusedis24sincetheParisequationcrackgrowthlawisinin/hour.Oneloadblockrepresents 24hoursoroneday.N1FAT.INN1FAT1.INThefatiguemodelsalsoused11nodesfromI.D.toO.D.Themodelsweresetupusingstressesinpsiinsteadofksi.TheParisequation(fatigue) wasestablished usingpsiinsteadofksi.TheKminforthefatiguemodelswascalculated usingthenormaloperational stressesusedintheIGSCCmodel.Thecyclicstressesweremadeupofcyclesfromthreetransients thatre-presentthepotential cyclicloadingthenozzlecouldexperience inoneyear.Thesetransients were:Onecycleofthermaldiscontinuity, 300cyclesOBE(contains SRV)andtencyclesSSE.968-25291 R1(3/98) WA5HIHGIN kUaLlcFOWSRI>svppavsvsnmCALCULATION METHODCONTINUATION PAGEPageconrdonpage'3,UspWCalculation No.ME-02-98-04 RevisionNo.0IuatedThemodelingappliestherequirements identified inNRCGenericLetter88-01.Theflawwasevaasanintergranular stresscorrosion crackusingthecrackgrowthrateequationprovidedinthegenericletter.Theweldresidualstressdistribution providedintheletterwasalsousedeventhoughtheweldinquestionhadMechanical StressImprovement (MSIP)performed onitin1994.Theweldresidualstressesaredeveloped fromroomtemperature yieldfor304material(30ksi)asthenormalization stressoutlinedinthegenericletter.Theflawaspectratiowasreviewedandcomparedtotherequirements. ofNUREG-0313, Rev.2.Theaspectratiowasdetermined tobe12:1whichrequirescorrection inlengthasthecrackgrowsuntilanaspectratioof20:1isexceeded. Therefore, thefinalcrackgrowthaspectratiowascorrected manuallytocomplywiththerequirements ofNUREG-0313, Rev.2.Thecorrection foraspectratiowasperformed ateachRefueling outagetimeperiodbaseduponthecomputeroutputfortheIGSCCmodel.Theseintervals weredetermined asfollows:R14willoccurinapproximately 290days,withtwosubsequent 290dayintervals untilR16.ThefiawlengthanddepthfromtheR16corrected valuewasthenusedasinputintothefatiguemodel,Thefatiguemodelusedoneyearofexpectedupsetandfaultedconditions asrequiredbytheCodetoassurethatthecrackwillremainwithintheCodeallowable limitsandNRCrequirements. ThreeinputfileswereusedtoperformtheIGSCCandfatigueevaluations. Thesefileswere:N1IGSCC.IN IGSCCfornormaloperations N1FAT.INFatigueincluding oneyearofthermaldiscontinuity (1cycle),OBE(300cycles),SSE(10cycles)NlFAT1.INFatigueincorporating R16corrected cracklengthforNRC20:1ratioandthesamefatiguecyclesforN1FAT.INThefollowing assumptions andinputswereusedindeveloping eachofthemodels.AllModels:Theflawmodelusedwas703forasemi-elliptical (circumferential) surfacecrackinacylinder. (1)FlawDimensions N1IGSCC.IN Thecrackusedwas3.52"longand0.29"deep.Thehalfcrackwascalculated taking3.52"andN1FAT.INdividingitby2toyield1.76".(2)N1FAT1.IN Thecracklengthforthismodelwastheresultsofthe20:1aspectratiorequiredbytheNRCforIGSCCcracks.Thevalueusedis&omthecrackdepthfor870daysofIGSCCgrowththatwouldoccurbyR16.Thevaluesusedinthemodelwerealengthof17.8ssandadepthof.0.89".Thehalfcrackwasdetermined bydividingthelengthby2thatresultsinavalueof8.9".CrackGrowthLawsN1IGSCC.IN TheParisequationusedforIGSCCgrowthwasthatprovidedinNUREG-0313 Rev.2.The(4)equationused:359E8(hK)'nksiWin-N1FAT.IN'hecrackgrowthrateforfatigueinBWRwaterenvironment wasdetermined usingthefollowing N1FAT1.IN Parisequation: (3)6.155E-18(tK) 'npsiWinN1IGSCC.IN ThelK~valueusedwas10.0or10000forthefatigueN1FAT.INN1FAT1.IN + 5IOINCONEI.182BUrrERINC'7/1637~21/32,./I/eIxI31/32'NCONEL 182OVERLAY3/1O.06CrrP)10'SAFE-NO~IIE0OEIALIS'e30ltKLOS0Nli180'00PlH)80Lm8022UIRC12)A-I 180'OOPl2USC12)8-I O'DOP80MlCIZ)i-2 180'CCPl2UIRC12)8-2 O'CCP8l.180NOZZI.E~IIELOOEDLSAFE-ENO(0.020'CrUAL CARBONCONIENr)I.383~~rt5/803/0R019/32Rl/IS~RPVIS'55CLAOOINCNOIE5CllB.OC>>ELHI)tllIONGUI-I)9NOZZLE'10S)ELLHELDG2Ul-101HOZZLE10SlFEEHOIEELD03Ul7SSFE-EHO10PIPE)EKLD0Ul-101SllEftOFORCIIXIIFEX)HIHEO) 05Ul-119HOZhEINHKRRlDIUSg)~~0t"<<It)0I/s~aIIOO,tPIPE2I/O911/16OZZLE/weeeeleolooeseeeeeeesI/elEIAIeeooeseeesE4loeoltoo flgpssloo~'lESDlltlw, eeftitlto SolesFEEoeeo.EA.129/32PIPIHC5fS'iftttl'tfCfit4$SlffIOOtlttftthf~aNlNOZZLEINCONEL82Roor/NOrINCONEL182BALA)ICE'17$~Slfos)EtSEOECE/S~1)HISCftlt)IN) ISIH)ftf%0fORUSKINFFKSKRTICE ftf)INSERT)LE IHSPfCIICESSPRt)CR>ttS OtLT,C)LOLOC>>)CORER)IftdM5llfOE)tf)IftE)tftcttItkLit)lC>>KSStllIL1ffftt)EEOllIt>>ttZSt4tfRIOLSPECSS)5$CR)E)ECLISO))ttCLIRSOSCeCL7SOSX)M~CL1CSCSREFERENCESE CSIIR)CLElRCO.SNI<6RETiSHf47RET3SHI48RET4151ISOMEIAICS RRC101-1RETRRC102-)RfT205AE023NINOZZLEFORGIHCItlSlff-fHDFORCIIX'l NOZZLEXSSEIKILT PCCIRCSEC))tftti1MQhfllO'180')OLIlf CllSSAIJSFCCt)OKCLSSS~Ift>>RAItf)ELEIXEOWA>>ttclOSIEAS1079VSDIIHCIEOE fValCPOKRSN'PLYSYSIENOtte\Ieft. SA)stolttottet)tEFEP-2KLDCCOEPOKHIICKHIIFIClllttt DI)CRlttEt7)I)RIMEACOfORIt)C~EtEASEC)COt))LSEr~fIff~fCOSOOOOODEERHORPV-105HKTI 5-545CrackGeometModeiLibraryinNASCRACSoftware5.1.26Semi-Elliptical (Circumferential) SurfaceCrackinaCylinderModelFeatureFORTRANVariableOptionFeaturedModelIndexNumberKRKTYPNumberofDegreesofFreedomKRKDOFCrackFrontShapeFiniteWidthEffectsInQuenceFunctionVariableThickness EffectsIVTHICJ-Integral Solutions 7033Semi-Elliptical YesYesNoNoDataInputDescription InputDescription FORTRANInputVariableFormatRemarksVariableThickness InitialCrackSizeBodyWidthsCrackPositionCrackOrientation StressInputa1a2a3tW'gW3XcYc4~-(~)<-(~v)IVTHICAINITL(l) AINITL(2) AINITL(3) WIDTHS(1) WIDTHS(2) WIDTHS(3) WIDTHS(4) CENTER(1) CENTER(2) CRKANGConstant-ConstantConstantConstantConstantConstantConstantConstantConstantEquational TabularEquational Tabular)Terminate )AnalysisOnlyTabularNotApplicable Constant~HLimits:1<aq+as/aq<20;0.0<aq/t<1.0Accuracy: approximately 10'or0.0<a,/t<0.8and1<a2+as/a><12HANItNOTOR fl&lICPO'N406$5UBKYSYFHMCALC:-Ov8Version2.2PAGE:.CSPl'souBY:DATE:SVERIFIED. DATE
5.1LibrofK-andJ-Solutions -ModelDescritions5-55703Zcr(x,y)IIIIIIIXa2~/traa)XNASCRACUser'sManualVersion2:2 wA$HINGToNtuaLIGtowaa4$SUPPLYSYSTIMPtapd8/OatMkbtUALCALCULATION VetlliadBy/DataPago.00Cont'aOnPago5.CIg~Calculation No.-e-o/RevisionNoThepurposeofthecalculation istodetermine theboundingstressintheRecirculation outletnozzleN1atsafeendtonozzleweld.Actualloadsatthenozzleduetothepipearelowerthantheallowable loadsprovidedinthereference documents listedbelow.Actualpipeloadsareavailable incalculation 8.14.107.
References:
1.HanfordII-251nBWRVesselStressReportSectionsT9,S9,F9Recirculation OutletNozzle.2.Drawing732E143,PurchasepartReactorVesselMPL itemNo.B13-D0033.Drawing761E716,ReactorVesselLoadingsRecirculation Outlet:MaximumAllowable NozzleLoadsforEvaluation: DesignMech.LoadDeadWt.SeismicPriSeismicRFEThermalRFEH(kips)0.058.50164164292M(inchkips)58501580295029507020Theabovemomentsare.appliedattheendofthesafeend.Theweldofconcernisthesafeendtonozzleweldwhichis9.75inches+/- 1/16inchfromtheloadapplication point.NozzleDesignPressure: 1250psi,NozzleFaultedPressure: 1375psiNozzleLoadsforRecirculation OutletNozzlefromCalculation 8.14.107whichincludespoweruprateandsnubberoptimization oftherecirculation piping.Condition PrimarySecondary Primary(Faulted) Force-Ibs55523443125481.Moment-inchkips167.4081805.3911066.453966.16694 Rl(6/93) waarrlrrGTorr ttraLIctowaa4$suptLvsysrmrMAMJALCALCULATION Pago.aoCalculation NoCont'aOnPagog5DQPraparad8/DatVarifiodBy/Data-eh'-ovAevi~ionNo.0SafeendmaterialisSA-336F8Smpa16.65ksiO575FZ:=9.75inchZistheoffsetdistancefromtheapplication pointoftheloads.Pd:=1250psiOD:=25.5inchPfpa1375psiID:=21.6876inchImom.=9896in"Ano~:=141.292InCalculate tangential PressureStressesusingthethickwall formulafromTheory'nd DesignofPressureVessels,J.F.Harvey,1985pg61IDbODrpa10.84,11.2..12.75inchaPdOp(r)pab-ab21+-r2pslPressureStressVariation withradiusfromIDtoODisshownbelow.ap(r)10.8411.211.5611.9212.2812.647.79107.504107.244107.007.106.791~106.59410Sincetherangevariableforrdidnotexactlymatchtheoutsidediameterthefollowing equationadjuststotheexactoutsideradius.rpa12.75968-'l8694Ali6/93) ISsUPPLYsys'BMMAI'AJALCALCULATION Pdgo0Cont'sOnPagagPraparadByatay2CVari/ladBy/Data~/~/f~Calculation No.I=-0-Rh'-o"/AavisionNo.ap(r)psaPdb22b21+-r2Gp(I)6.536103PSI.Thusthetangential pressurestressvariesfrom7800psito6530psi.Thisstressistensilearoundthecircumference oftheshell.Basedontheorientation oftheflawthetangential stresswouldnotbeatensilestressforaflawinthetangential direction. ResettheradiustovaryfromlDtoODandrecalculate theradialpressurestress.rps10.84,11.2..12.75inchaPd<pr(r)psb22b21--r2a=10.844b=12.75apr(r)-1.25310-967.181-707.494-470.979'254.958-57.13PSI10.8411.211.5611.9212.2812.64inchesCalculate nozzlebendingstressesatthesafeendtonozzleweldbyapplyingthemomentplustheforcetimestheoffsettogiveamaximumbendingmomentDeadweight Loads:Mdwtpa167.5+5.552Zin-kipscps12.75Mdwt=221.632968.18694 RlI6/93) wASNINOTON tlraLtctow!a4SUPPLYSYSHMPrepared8y/Dazs/~8MAAUALCALCULATION Verified8y/DataS~/ygPage0Cont'aOnPagegpa+Calculation No.--oQ-Y-oi-.AewaronNoMdwtccdWt'=lmomP'wt=0.286'siUpsetLoadsincluding ThermalTheGEloadcombination forRPVnozzlestakesthemaximumofeightdifferent combinations whichincludethermal,obe,obedisplacements, turbinestopvalveclosure,srv,andsrvinertia.Mpbe:=1806+34.5'ZMpbe=2.142'103in-kipsMpbec~abc'=lmom<pbe=2.76ksiFaultedLoads:TheGEfaultedloadscombination doesnotincludethermalbendingonthenozzle.Sincetheupsetloadcombination includesthermal,itisconservatively addedtothefaultedloadingwithoutremovalofthedynamicupsetloads.Msse.=1067+25.5Z+Mpbesse-3.45810in-kip3Msse'~sse'=lmomcz=4.455ksi968.18694 Al{6/93) @SUPPLYSYSIZMPreparedBy/DaY+8MAMJALCALCULATION VerifiedBy/DatePageOr,Cont'sOnP9S'-OOCREV.B/IRCelcUIationNo.--0)-tY-0RevisionNo.Determine thediscontinuity stressesduetotheattachment ofthestainless steelsafeendtothecarbonsteelvesselnozzle.Thevesselnozzlehasa3/8ininconelbutteronthesurfaceandthenisjointedtothesafeendwithaninconelweld.Thustherearethreedifferent materials tobeevaluated forthermalgrowth.NozzleForging-SA-508CL2(3/4NI-1/2Mo-CR-V) Coeffiecient ofThermalExpansion -GroupAMaterials at550F7.34X10"-6in/in/F ModulusofElasticity -27.0X10"6 psiSafeEnd-SA-336F8-(18CR-8Ni)GroupGCoefficient ofThermalExpansion -Group9.45X10'-6in/in/FModulusofElasticity -25.55X106psi.InconelWeldMetal:S8-167N06690(58Ni-29Cr-9Fe)Coeffiecient ofThermalExpansion -8.13X10"-6in/in/F ModulusofElasticity -28.2X10"6psiChecknozzletoinconelthermaldiscontinuity. Eab'=27.010+28.2.10Eab=2.76.107pslua.=73410-6ub.=8.1310Ta.=550-70~tdis'=Eab'aTaubTbTbps550-70atdis=1.047.104pslNozzletosafeendChecktheinconelweldtosafeenddiscontinuity. Eabps25.510+28.2.10Eab=2.685107ua.=9.45.10ub:813.10966.18694 R1{6/93) WA5rrlrlGTON tlraLIGtoWSR4SUPPLYSYSI'EMPraparadBy/atoMANUALCALCULATION VarifiadBy/DataPagoCont'5OnPago~Q)CoocCaicUIatlon No.K-oa--0'/'aviaion No.TaI=550-70atdisEab'xaTa-abTbTbPa550-70+tdis1.701.10Safeendtoinconelweld.4Thusthemaximumdiscontinuity stressisbetweenthestainless steelsafeendandtheinconelweldmetal.Theoriginalvesselstressreportprovidedcalculation ofthestress.concentration factorsatthelocations oftaperedtransitions inthenozzle.Therewasnostressconcentration listedforthejointthatweareevaluating. Sincetheweldjointbetweenthesafeendandthenozzlei'saflushweldbetweentwoequivalent diametercylinders, wecanusethestressindicesfromaflushweldintableNB-3683.2-1.The tablelistsC3as1.0andK3as1.1.Thusfordetermining peakstressatthematerialdiscontinuity, theC3andK3indicesareapplied.1adPa1.0'11'otdis'-1000+dis18.713ksiSummaryofSafeendtonozzlestresses: DesignPressureStress=7.790ksiDeadweight BendingStressodwt=0.286ksiUpsetPrimaryplusSec.BendingStressoobe=2.76ksiFaultedBendingStress,includesthermal,deadweight, obeandsse.:0sse=4.455ksi966-16694 Ai(6/93) 4sUPPLYSYSTtMPraparadBataMAAUALCALCULATION Vari/iadBy/DataPago.007Cont'sOnPago5,~~gREV.Calculation No.--0-P&o~/RavisionNo..ThermalDiscontinuity StressattheCarbon.To Stainless SteelIntersection: dis18'713ksiStressesclassified asbendingstressesabovearebasedontheouterfiberstresstomaximizethemagnitude. Bendingstressontheinnerwallisobtainedbyfactoring thestressby10.84/12.75. Stressesthoughthewallthickness arelinearbetweentheminimumontheinnerwalltoamaximumattheouterwall.966.t6694 Rt(6/93) 43SUPPLYSYSIXMPreparedBy/Date7.M.ENvinMANUALCALCULATIO Verifiedby/DatePage.VIZCont'dOnPageG.oaCalculation No.ME-02-98-04 RevisionNo.0FATIGUECRACKGROWTHRATEBWRENVIRONMENT da/dn~CaEaSe(hK)',n=Materialconstants, C=2.0E-19,n=3.302S=R-ratiocorrection factor=(1.0-0.5Rs)"(3)E=Environmental factor(1.0,2.0and10.0forair,PWR,andBWRenvironments, respectively). hK=Kmax-Kmin,psiinAssumeR-ratio=.7,CaE*S=2,0E-19a10.0f1.0-0.5(.7)s]~=2.0E-18a[1.0-0.5(.49)] =2.0E-18a[.755]=2.0E-18*3.07=6.155E-18THEREFORE da/dn=6.155E-18(dK)'orpsi~in WA5HINGTON tlQLICPOWKRk9SUPPLYSYSIXMPreparedBy/DateT.M.ErwinMANUALCALCULATIO VenTiedby/DatePageCont'dOnPageX.oa8C~oeCetcUIetion No.ME-02-98-04 RevisionNo.0WeldResidualStressCalculation forthroughwallthickness basedonNuReg0313Rev2methodology. (4)Definition ofterms:S=polynomial coefficients c=percentofthroughwallthickness x/tR=ratioofresidualstresstoroomtemperature yieldof30ksiforstainless steel.x=PointmeasuredthroughwallfromIDtoOD.t=Thickness of2.000,=Theroomtemperature yieldstrengthofstainless steel30ksi.cr=Thecalculated residualstressatlocationxthroughwallcr,+R=cr.S:=1.0-6.9108.687-.480-2.027i=04i=010G=0.0O.l0.20.30.40.50.60.70.80.91.0R,:=ps,c, .R=fatthe%thickness, refGaboveanderr=30ksi.y0/1.00.395-0.042-0.321-0.457-0.47-0.385-0.232-0.0440.138027RES:=R30ksiRESistheweldresidualstress WA5BINGTON tUlLlc?OWSR I>sUPPLysvsrimPreparedBy/Date'T.M.EiwinMANUALCALCULATIO Verifiedby/DatePagea4Cont'dOnPage5,]oCalculation No.ME-02-98-04 RevisionNo.0Usingtheinformation developed onthepreviouspagesthefollowing tableidentifies thestressesusedinperforming theevaluations. ThelastcolumninTable1identifies thestressesusedintheIGSCCcalculation. Table1x=in.30R=ksipres.=ksi DWT=ksiOBE=ksiSSE=ksi30'R+pressure+DWT+OBE=ksi 0.20.3950.4-0.0420.6-0.3210.8-0.457-0.471.2-0.3851.4-0.2321.6-0.0441.80.13820.273011.85-1.26-9.63-13.71-14.1-11.55-6.96-1.324.148.17.797.797.797.797.797.797.797.797.797.797.790.2860.2860.2860.2860.2860.2860.2860.2860.2860.2860.2862.762.762.762.762.762.762.762.762.762.762.764.4554.4554.4554.4554.4554.4554.4554.4554.4554.4554.455'0.8322.689.571.2-2.87-3.26-0.713.879.5114.9718.93*SSEwasusedasinputtotable4andisaonetimeeventofsafeshutdownearthquake. ThecomputerCoderoundsthesenumbersuptothenearestthirddecimalinscientific notation. Table2containsthestressesusedindeveloping thefatiguecycleforthethermaldiscontinuity stress.ThisoccursonetimeastheRRCsystemheatsup.TheminimumstressvaluesusedarethesameforthelGSCCcrackgrowthcalculation fornormaloperation. Themaximumstressisdeveloped byconservatively addingthethermaldiscontinuity stressequallythroughwalltothenormaloperational stresses. x=in.ID-ODThermalDiscontinuity StressksiTable2StressMin)Thermaldis)ksiStress(Max) Thermaldis)ksi0.20.40.60.81.21.41.61.818.7318.7318.7318.7318.7318.7318.7318.7318.7318.7318.7340.83622.6869.5761.206-2.874-3.264-0.7143.8769.51614.97618.93659.56641.41628.30619.93615.85615.46618.01622.60628.24633.70637.666Thenumber18.73ksiwasconservatively usedinsteadof18.713ksi.
k3sUpPLYsYSIXMMANUALCALCULATIO Pagec~0Cont'dOnPageZo/Calculation No.ME-02-98-04 PreparedBy/Date='.M.EtwinVerifiedby/DatezeRevisionNo.0Table3containsthestressesusedinthefatigueevaluation fortheupsetloading(OBE).ThestressesforOBEwereconservatively cycledontopofthenormaloperating stressesthatalsocontained theOBEstresses. Forfullstressreversaltheminimumstressesusedwerecalculated usingthenormalstressesandsubtracting theOBEstress(Table1).Themaximumstresswasdeveloped usingthenormalstressesandaddingtheOBEstress.Thenumberofcyclesusedinthefatigueevaluation was300/year. Table3x=in30R+ressure+DWT+OBE=ksi StressMinFatigueOBE=ksiStress(Max)FatigueOBE=ksi0.20.40.60.81.21.41.61.840.83622.6869.5761.206-2.874-3.264-0.7143.8769.51614.97618.93638.07619.9266.816-1.554-5.634-6.024-3.4741.1166.75612.21616.17643.59625.44612.3363.966-0.114-0.5042.0466.63612.27617.73621.696Table4containsthestressesusedinthefatigueevaluation forthefaultedloading(SSE).ThestressesforSSEwereconservatively cycledontopofthenormaloperating stressesthatalsocontained theOBEstresses. Forfullstressreversaltheminimumstressesusedwerecalculated usingthenormalstressesandsubtracting theSSEstress(Table1).Themaximumstresswasdeveloped usingthenormalstressesandaddingtheSSEstress.Thenumberofcyclesusedinthefatigueevaluation was10/lifetime. Table4xfromI30'R+pressure+DWT+OBE=ksi Stress(Min)FatigueSSE=ksiStress(Max)FatigueSSE=ksi0.20.40.60.81.21.41.61.840.83622.6869.5761.206-2.874-3.264-0.7143.8769.51614.97618.93636.38118.2315.121-3.249-7.329-7.719-5.169-0.5795.06110.52114.48145.29127.14114.0315.6611.5811.1913.7418.33113.97119.43123.391 I'~k LWASHINGTON at/aLlCPGWR149SUPPLYSYSTEMPreparedBy/DateT.M.ErwinMANUALCALCULATIO Verifiedby/DatCont'dOnPage0/Calculation No.ME-02-98-04 RevisionNo.0Table5containsthecrackgrowthadjustments madetothecomputercalculated valuesasrequiredbyNUREG0310Rev.2.ForIGSCCcrackgrowththeNRCrequiresanaspectratio(cracklengthtodepth)tobeaminimumof20:1.Tocalculate thisnewlengththeinitialvalueasfoundduringR13wasfirstmultiplied by20toobtainthenewcracklength.Thiswasrepeatedforsubsequent outagesandbyreviewing theoutputdatafortheIGSCCcrackgrowthdepthforestimated operational daysbetweenoutages.R16wasthelastintervalpriortoR17whentheflawlengthtodepthratiowouldexceed33%ofthecircumference. Thislengthwouldrequiretheassumption thattheflawwastheentirecircumference ofthepipeinaccordance withNUREG0313Rev.2.Therefore, themaximumlengthanddepthusedtocompletethefatigueevaluation wastheR16valueof0.89deepand17.8inlength.Outage13141516Days290580870Table5Depth=in0.290.5440.7460.89NewCrackLength=in. 5.810.8814.9217.8TheInputfileforN1FAT1.IN containstheflawlengthof17.8"anddepthof0.89".Thisflawdepthandlengthwasthenranforoneyearoffatiguecyclesduetodiscontinuity, OBEandSSEinaccordance withASMECode1989SectionXIRules.Thefinallengthwasdetermined tobe17.81"and0.983"deep.ThesevaluesforSectionXITableIWB-3641-5 andIWB-3641-6 are:lf=17.81"af=0.983"Todetermine theCodeacceptability oftheflawsTablesIWB-3641-5 and-6areusedtodetermine aanda,.Thesearethemaximumflawdepthsfornormalandfaultedloadingconditions. Acceptability isbasedona<beinglessthanthesetwovalues.Thefollowing calculations areusedinconjunction withthereferenced SectionXITablestodetermined aanda<.Theindication fallsintowhatisclassified asweldzoneperFig.IWB-3641-1. Thisrequirestheflawtobeevaluated usingTablesIWB3641-5and-6.TheuseoftheseTablesrequiresthecalculation ofthedefinedstressratioandtheflawlengthtocircumference ratiotodetermine theallowable depthtothickness ratio.Thisvalueisusedtodetermine themaximumflawdepth. skJSUPPLYSYSI'EMPreparedBy/Date~T.M.EtwinMANUALCALCVLATION Verifiedby/0tPageS.'oCont'dOnPageCetculetion No.ME-02-98-04 RevisionNo.0Circumference ofthenozzleisequalto24+3.14=75.36"(basedonanominaldiameterof24)Depth/Thickness ratio=0.983"/2.0=.492I</Circumference ratio=17.81/75.36"=.236NORMALOPERATING (INCLUDING UPSETANDTEST)CONDITIONS ForTableIWB-3641-5 thestressratioisdetermined bythefollowing equation: StressRatio=M(P+P,+P)I277IS(Fromthereferenced Table)UsingthepreviousdefinestressesandanMvalueof1.0(forshieldedmetalarcweldswhenOD<24')the aboveequationfornormaloperating andupsetconditions isequalto:DWT+OBE+Pressure +OBE+Thermal Discontinuity 0.286+2.76+7.79+2.76+18.73 =32.326ksiNOTE:OBEisaddedtwiceconservatively toboundthenormaloperating andthermalstresses. StressRatio=32.326/2.77/16.65 =.701UsingtheStressRatioandtheCircumferential Ratiotheallowable Depthtothickness ratiofromTableIWB-3641-5is0.6.Therefore themaximumflaw=2.0.6=1.2"deepsince0.983"<1.2Theflawisacceptable perTableIWB-3641-5 EMERGENCY ANDFAULTEDCONDITIONS ForTableIWB-3641-6 thestressratioisdetermined usingasimilarequationasabovewiththeexception oftheSSEstressbeingsubstituted foroneoftheOBEand2.77beingreplacewith1.39.P)StressRatio=M(P+Ps+P)I139IS(Fromthereferenced Table)Therefore: 34.021/1.39/16.65 =1.47UsingtheStressRatioandtheCircumferential Ratiotheallowable Depthtothickness ratiofromTableIWB-3641-5is0.538Therefore thamaximumflaw=2.0*0.538=1.076"since0.983"<1.076'heflawisacceptable perTableIWB-3641-6 Conclusion TheflawmeetsalltheCodeSectionXIrequirements andtheN1nozzlesafe-endisacceptable forusewithoutexamination untilR16.}}