ML18040A362

Rev 1 to A10.1-AD-003, Pressure Locking Evaluation of Movs.

ML18040A362
Person / Time
Site:	Nine Mile Point
Issue date:	10/21/1997
From:	CRUZ D A NIAGARA MOHAWK POWER CORP.
To:
Shared Package
ML17059C644	List: ML17059C643 ML18040A362
References
A10.1-AD-003, A10.1-AD-003-R01, A10.1-AD-3, A10.1-AD-3-R1, NUDOCS 9904300086
Download: ML18040A362 (305)

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{{#Wiki_filter:(Enclosure1consistsofCalculationNo.A10.1-AD-003,titled"PressureLockingEvaluationofMOVs."Enclosure1has137pages,whicharenumberedfrom1toE4) 0 GARAUMOHAWKNUCLEARENGINEERING~CA'LC.UL'AT:.lON.',C,OV;ER'SHEET".,""Page1(NextZ)Tetai/s7LastC'4NINEMILEPOINTNUCLEARSTATIONUnit(1,2or0=Both):2Discipline:MECHANICALTitlePRESSURELOCKINGEVALUATIONOFMOV'SCalculationNo.A10.1-AD-003(Sub)system(s)VARIOUSBuildingFloorElev.IndexNo.NANANAOriginator(s)DOMINGOACRUZ~.Ael(KChecker(s)IApprover(s)ldll/CgIC.ZeteeRevDescritionDesignPrep'd'haneNo.BDateChkDateADate01COMPLETEREVISIONTONAINCORPORATEDISP.00AANDTOUSEMOSTCURRENTINDUSTRYINF.DAca8-25-ygComputerOutput/MicrofilmFiledSeparately(Yes/No/NA):NO'.:SafetyClass(SR/NSRIQxx):SRSupersededDocument(s):A10.1-AD@03,REV.00,.~+c</I/e(9',eDOCumentCrOSSReferenCe(S)-FOradditianalreferenCeSSeepage(S):46NE'b<C.O)titsrS%tg.~&eg4bO4-GRefSEESECTION4.0DocumentNo.DocTeIndexSheetRevGeneralReference(s):NONERemarks:NONEConfirmationRequired(Yes/No):NoFinalIssueStatusFileLocationOperationsAcceptanceSeePage(s):NA(APPIFIO/VOI):APP(CeleIHold):GaleRequired(YesINo):NoEvaluationNumber(s)IRevision:NACopyofApplicabilityReviewAttached(Yes/N/R)7NRKeyWords:PRESSLOCKING,GL89-10,MOVTHRUST,SR,MECH,NMP2,GL95%7ComponentID(s)(AsshownlnMEL):2CSH'MOV101,2CSL'MOV107,2ICSMOV121,122,128,129,2RHS'MOV115,116,4A,B,C,2SWP'MOV17A,B,18A,B,21A,B,66A,B,67A,B,94A,B'gl'gl043000869'gI042iPDRADQCK050004i0PPDRFORMAT¹NEP-DES-08,Rev.02(F01) GARR::::!e':'-'!:.:::'-':'::':'::.:-f-:.::"Page1(NextPlCALCULATIONCOVERSHEETTotalIa7NUOLEARENGINEERINGNINEMILEPOINTNUCLEARSTATIONUnit(1,2or0=Both):2Discipline:MECHANICALTitlePRESSURELOCKINGEVALUATIONOFMOV'SCalculationNo.A10.1-AD-003(Sub)system(s)VARIOUSBuildingNAFloorElev.IndexNo.NANAOriginator(s)DOMINGOA.CRUZChecker(s)/Approver(s)@~i~r~S.Z~~,~A('(~RevDescritionDesignPrep'dChaneNo.BDateChkDateADate01COMPLETEREVISIONTONAINCORPORATEDISP.00AANDTOUSEMOSTCURRENTINDUSTRYINF.Dhcetll-25-ygComputerOutput/MicrofilmFiledSeparately(Yes/No/NA):NO.SafetyClass(SRINSRIQxx):SRSupersededDocument(s):A10.1&D403,REV.00,.ts+~I//6/pgDocumentCrossReference(s)-Foradditionalreferencesseepage(s):4QNE><Calild'rS%8,<Gacket>"ri.+RefSEESECTION4.0DocumentNo.DocTIndexSheetRevGeneralReference(s):NONERemarks:NONEConfirmationRequired(Yes/No):NoFinalIssueStatusFileLocationOperationsAcceptanceSeePage(s):NA(APPIFIOIVOI):APP(Cele/Hold):CeleRequired(Yes/No):NoEvaluationNumber(s)IRevision:NACopyofApplicabilityReviewAttached(YesIN/R)?NRKeyWords:PRESSLOCKING,GL89-10,MOVTHRUST,SR,MECH,NMP2,GL95%7ComponentID(s)(AsshowninMEL):2CSH'MOV101,2CSL'MOV107,2ICS'MOV121,122,128,129,2RHS'MOV115,116,4A,B,C,2SWP'MOV17A,B,18A,841A,B,66A,B,67A,B,94A,BFORMAT¹NEP-DES48,Rev.02(FOI)

N%NIAGARAUMOHAWKNUCLEARENGINEERINGCAL'CULATION'CONTINUATIONSHEETvPage<@extraNineMilePointNuclearStationOriginator/Date3crnowA.C,~//8/Ls'/rgef.Unit:2Checker/Date~JP.JH7A10.1-AD-003Disposition:NARevision011.0PURPOSE:ThepurposeofthisevaluationistoassessthecapabilityofvariousmotoroperatedvalvestoopenagainstpotentialpressurelockingconditionsasdescribedinNUREG1275,OperatingFeedbackReport-PressureLockingandThermalBindingofGateValves,andtoaddressGL89-10,Supplement6andGL95-07.ThefollowingvalveshavebeenidentifiedaspotentiallysusceptibletopressurelockingperNER-2M-007,Rev.1,"PressureLockingIThermalBindingofSafetyRelatedPowerOperatedValves".Thisevaluationusesthecurrentdesignbasistodeterminetheacceptabilityofthesevalves.2.0SCOPE:HighPressureCoreSpraySystem-2CSH'MOV101LowPressureCoreSpraySystem-2CSLMOV107ReactorCoreIsolationCoolingSystem-2ICS'MOV121,2ICS"MOV122,2ICS*MOV128and2ICS'MOV129ResidualHeatRemovalSystem-2RHS'MOV115,2RHS'MOV116,2RHS*MOV4A,2RHS*MOV4Band2RHS'MOV4CServiceWaterSystem-2SWP*MOV17A,2SWP'MOV17B,2SWP'MOV18A,2SWP'MOV18B,2SWP"MOV21A,2SWP'MOV21B,2SWP'MOV66A,2SWP'MOV66B,2SWP*MOV67A.2SWP'MOV67B,2SWP'MOV94Aand2SWPMOV94BI3.0METHODOLOGY:Foreachofthevalvegroups,themostlimitingpressurelockingjconditionswillbeidentified.UtilizingtheformulasderivedfromtheCommonwealthEdison,'ethod,therequiredthrusttoopenthevalvesubjecttopressurelockingisdetermined(Ref.'),andadjustedwiththeKalsiEngineeringEnhancedPressureLockingMethodology(Ref.31).

4.0REFERENCES

INOTES:1.NMPCTeleconwithAnchorDarling,dated8l22l95,(AttachmentA)'.MPR-1691,"NineMilePointUnit2GateValvePressureLockingDuetoBonnetHeatup",datedNovember19953.LimitorqueManual,NMPCFileNo.N2L20000VALVE003,Rev.0.,andEPRIApplicationGuidetoMOVs,Doc.No.NP-6660-D,Section3.3.3.FORMAT¹NEP-DES-08,Rev.01(F02)

NVNIAGARA4MOHAWKNUCLEARENGINEERINGCALCULATIONCONTINUATIONSHEETNineMilePointNuclearStat/onOriginator/Date,,.4,.C.n~letzshgef.Unit:2Checker/Date~/o-/H7A10.1-AD-003Disposition:NARension014.VelanReportDM-0050,pageA4,(Attachment8)5.NUREGICP-0152,page3C-9through3C-34,"CommonwealthEdisonCompanyPressure,LockingTestReport",(AttachmentC)6.NUREGICR-5807,page5through11,"ImprovementinMotorOperatedGateValveDesignandPredictionModelsforNuclearPowerPlantSystems"(AttachmentD)7.For2CSH'MOV101DBR-CSH-MOV101,Rev.1,andMOVsizingcalculationNo.A10.1-G-048,Rev.08.For2CSLMOV107DBR-CSL-MOV107,Rev.1,andMOVsizingcalculationNo.A10.1-F-032,Rev.09.For2ICSMOV121DBR-ICS-MOV121,Rev.2,andMOVsizingcalculationNo.A10.1-H-059,Rev.010.For2ICSMOV122DBR-ICS-MOV122,Rev.2,andMOVsizingcalculationNo.A10.1-H-059,Rev.011.For2ICS'MOV128DBR-ICS-MOV128,Rev.2,andMOVsizingcalculationNo.A10.1-H-059,Rev.012.For2ICS'MOV129DBR-ICS-MOV129,Rev.2,andMOVsizingcalculationNo.A10.1-H-059,Rev.013.For2RHS*MOV4ADBR-RHS-MOV4A,Rev.1,andMOVsizingcalculationNo.A10.1-E-139,Rev.014.ForRHS'MOV48DBR-RHS-MOV48,Rev.1,andMOVsizingcalculationNo.A10.1-E-139,Rev.015.For2RHSMOV4CFORMAT¹NEP-DES-OS,Rev.01(F02)

YNIAGARA0MOHAWKNUCLEARENG1NEERINGCAL'CULATIONCONTINUATIONSHEETPage4(Next~SNineMilePointNuclearStationUnit:2Originator/DateChecker/DateQvm'en<.cA,.C-aux/8/ZtA7/0./4'~ef.A10.1-AD-003Disposition:NARevision01DBR-RHS-MOV4C,Rev.1,andMOYsizingcalculationNo.A10,1-E-139,Rev.016.For2RHS"MOV115DBR-RHS-MOV115,Rev.1,andMOVsizingcalculationNo.A10.1-E-139,Rev.017.For2RHS"MOV116DBR-RHS-MOV116,Rev.1,andMOVsizingcalculationNo.A10.1-E-139,Rev.018.For2SWP*MOV17ADBR-SWP-MOV17A,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev,019.For2SWP'MOV17ADBR-SWP-MOV17A,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.020.For2SWP"MOV18ADBR-SWP-MOV18A,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.021.For2SWP'MOV18BDBR-SWP-MOV18B,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.022.For2SWP'MOV21ADBR-SWP-MOV21A,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.023.For2SWP'MOV21BteDBR-SWP-MOV21B,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.024.For2SWP'MOV66ADBR-SWP-MOV66A,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.025.For2SWP'MOV66BDBR-SWP-MOV66B,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.0FORMAT¹NEP-DES-08,Rev.01(F02)

NVNAGARAUMOHAWKNUCLEARENGINEERINGCALCULATIONCONTINUATIONSHEETPage(Next~eeNineMilePointNuclearStationOriginator/DateChecker/DaDC')e)>'l)e,i>I~C.Recta/8/2C/5'7ef.26.ForSWP*MOV67AUnit:2y-/rt/-f7A10.1-AD-003Disposition:NARevision01DBR-SWP-MOV67A,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.02?.For2SWP'MOV678DBR-SWP-MOV678,Rev.1,andMOVsizingcalculationNo.A10.1-NQ08,Rev.028.For2SWP'MOV94ADBR-SWP-MOV94A,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.029.For2SWP'MOV948DBR-SWP-MOV948,Rev.1,andMOVsizingcalculationNo.A10.1-N408,Rev.030.Roark'sFormulasforStressandStrain,SixthEdition1989,pages398,399,404,405,408.409444and445,(AttachmentE)31.ENHANCEDPRESSURELOCKINGMETHODOLOGY,KalsiEngineering,inc.(1997)5.0CALCULATIONRESULTS:Asdocumentedasthebottomofthelastpageforeachvalveevaluated,thethrustmarginiseitherpositiveornegative.Apositivethrustmarginindicatesthatthevalveandactuatorislikelytoovercomeapplicabletheoreticalpressurelockingphenomena.Anegativethrustmarginindicatesthatthevalveandactuatormaynotbeabletoovercometheapplicabletheoreticallockingphenomena.Ofthevalvesevaluated,valves2CSH'MOV101,2CSLMOV107,2ICS'MOV121,2ICSMOV129,2RHS'MOV115,2RHSMOV116,2RHS'MOV4A,2RHS'MOV48)2RHSxMOV4C)2SWP'MOV21A,2SWP'MOV218,2SWP*MOV66A,2SWP'MOV668,2SWP'MOV678and2SWP'MOV948yieldedanegativethrustmargin.However,anevaluationofplantconfiguration,normalandaccident,andsystemfunctionforeachofthevalvesanalyticallysusceptibletopressurelockingindicatesnooperabilityconcernsandthevalveswilloperateunderpostulatedaccidentscenarious.AdetailevaluationoftheresultsofthiscalculationforthevalvesidentifiedassusceptibletopressurelockingphenomenaisincludedinNER-2M07,Rev.02.CHECKERSNOTE:Thiscalculationwashandchecked,thereforetheMATHCADcommonlyusedcommercialprogramdoesnotrequiredvalidationforthisapplication.FORMAT¹NEP-DES-08,Rev.01(F02)

NiagaraMohawkPowerCorporationNuctearEngineeringOriginatorlDate~a.Cw~/,s/y>oharmsyNMP2CalculationCont.SheetChecker/DatePageQt/37A10.1-AtM03,Rev.01ValveIDno:2CSH'MOV101Reuired0eninForceDeternminationunderPressureLockinConditionsCOINEDMethodDESIGNINPUTS:ValveDiskGeometry:hubradius,b:=2hublength,L:=0.094rmeanseatradius,a:=6.125averagediskthickness,t:=1.66seatangle,a:=6e:=-'"e=o.o522180eishalfdiskanglectValveDiskMaterialProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3OtherValveParameters:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),P>.=55ValveBonnetpressure(psig),Pboggct2477Downstreampressure(psig),Pdo~'ryP.4IIValveStemDiameter,D~.--LSStaticUnseatingThrust,F~'.=4385(reference:Test¹8,4/18/96)ValveFactorVF:=0.5(reference:NER-2M410)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,It'.=cope)-'-a~(e)It=0.513(reference¹6)gives,'Pavg245'10P~+Pdo~AverageDPAcrossDisk,DPavgPbo~<-2DiskStNnesConstants,D:=andG:=EtE121-v2(1+v)whichgives,D1.23210GeometryFactors,C2'.=-1-14andG=1.131~10I+2ln-C3'=--+IIn-+--11bC8.'=-1+v+(1-v)2ab1+va1-vb2C9.---ln-+-1--a2b4awhichgives,C20.164C80'68C3=0.028C9=0.289COMEDPLEvaluationPCSH101A.MCDValveID:2CSH'MOV101page1 I NiagaraMohawkPowerCorporationNuciearEngineeringOnginatorloateo~~)~4-<~~~tnhqNMP2CalculationCont.SheetChecker/DatePagefo(tStA10.1-AD403,Rev.01AdditionalGeometryFactors,.fp'=bI642422fpfpfpfpI+4--5--4-2+-~In-aaaarpIL17.=-442I-U00aI--I----~I+(I+Y)In-4aafp,whichgives,LII=0.006andL17~0/141MomentFactors,Mfb'=2DPavg'aC9/22'0)C82abob:='"'(*-0*)2bwhichgives,Mfb=-3.38910andQb~2.052'10Deflectionfrompressure/bending,aaavga34ybq:=Mfb'2+Qb-C3-L11DDDwhichgives,yb~i).008qDeflectionfrompressureIshear,2arprpK~:=-0.32In--I+-I-2in-bab2m'DPavgaysq'=whichgives,Ksa&.404andy~%.002DeflectionfrompressureIhubstretch,ofee'=tt(a-b)DPavg-PfoteeLystretch'tb2Ewhichgives,Pfo~=2.579.10andy~=-3.281~10COMEDPLEvaluationPCSH101A.MCDValveID:2CSH'MOV101page2 I0 NiagaraMohawkPowerCorporationNuorearEngineeringOnginatorloate~~a+>k~CC4>4<(tetl~r)NMP2CelcutationCont.SheetCheckerloateQIoI-r<Page~of(3IA10.1-AD403,Rev.01TotalDeflectionduetopressure,yq:=ybq+ysq+ygthAdditionalGeometryFactorswhichgives,r0'.=ayq=<.OIroL3'.=-4.a22roaro+IIn-+--IaroaroL9,=-a2I+vaI-vro-In-+-1-2ro4awhichgives,L3~0andL9=0PDeflectionfromseatload/bending,w:=IC2roC9roC3ybw'.=L9--+L3whichgives,OCSbbybw2317106DeflectionfromseatloadIshear,roroKsa:=-1.2-In-aby~:=Ksa-whichgives,Ksa-1.343tGy~~-4.38310DeflectionfromseatloadIhubcompression,-2ttay'ompr'tbL2whichgives,ycomrTotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw2'7610~hi~hgi~es,wequilibn~3.51710'quilibriumcontactloaddistribution,yqwequilibrium'=ywLoadperseat=2.tta-=1.354I0yqywPressureLockingForce,COMEDPLEvaluationPCSH101A.MCDValveID:2CSH'MOV101page3

NiagaraMohatttrkPowerorporattonNuciearEngineeringNMP2CatctglationCont.SheetChecker/Dategag///-(0<Page1o(/37A10.1-AD403,Rev.01YqFpreslock:=2ma-'PM<e)-sm(e))2whichglvm.Fpreslock=1245'losJwPistonEffectForce,Pan',=0pistonstreettem'[bonnetann)whichgives,F;1fft=4.377'10"ReversePistonEffect"Force,Fvert.'=(ta2Pbonnetupdown'sin(0)whichgives,F~=3.02210TotalForceRulredtoOvercomePressureLockln"total'reslock+"po+vertpistoneffectFto~1'546805ACTUATORCAPABILITY:ActuatorModelISize:MotorTorqueOutput:GearRatio:ApplicationFactor.PulloutEfficienc:ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:TQout:=TQmRV.OGR.AfEffTQoutTHcap:=-Sf=SMB-00-10TQm:=9.3OGR:=72Af:=0.9Eff:=0.4RV:=1.0TQout~241.056Sf:=0.018919THcap=1.27410tt-lbstt-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNGMETHODOLOGY:KEI:=1.20aThrustMargin:=THeap-(ptomtKEI)ThrustMargin~-1.729'10lbsConclusion:OpenThrustMarginisnegative,thereforethisvalveandactuatorareunlikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPCSH101A.MCDValveID:2CSH'MOV101page4

NiagaraMohawkPowerCorporationNucteerEngineeringOriginator/Datewe~~/i~bpNMP2CalcutationContSheetChecker/Date~>-i17Page/OH/+7A10.1-AD403,Ret/.01ValveIDno:2CSL'MOV107Reuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pp.=500ValveBonnetpressure(psig),Pboggat=8931Downstreampressure(psig)Pdp~'alveDiskGeometry:hubradius,b:=1.25hublength,L:=0.25meanseatradius,a:=1.879averagediskthickness,t:=0.626seatangle,a:=loe:=--e=0.087att2180ValveDiskMaterialProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v.=0.3OtherValveParameters:eishalfdiskangleaValveStemDiameter,D<~.'=1.375StaticUnseatingThr'ust,Fpo3399(reference:Test¹4,6/3/96)(reference:NER-2M410)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,It:=~ge)-'-sa(e)It=0.521(reference¹6)givesDPavg86811(PG:=E2(I+v)whichgives,D=6.60510andG=1.131~10Pup+Pdo~AverageDPAcrossDisk,DPavg:=Pbomct-2DiskStittnasConstants,D:=andEtl2t-v2Iba.bbabGeometryFactors,C2.=-I--I+2In-C3'.=--+IIn-+--I4ab4aabaIb2bI+vaI-vb2C8.'=-I+v+(I-v)-C9.---ln-+-I--2aa2b4awhichgives,C20.049C8=0.805C30.005C9=0.241COMEDPLEvaluationPCSL107A.MCDValveID:2CSLMOV107page1

NiagaraMohawkPowerCorPorat/onNuclearEngineeringOriginaterloateQcwr~g4@AceCJrP/$7NMP2CalculationCont.SheetChecker/Date~~-i-17Page/rof/p7A10.1-AD403,Rw.01AdditionalGeometryFactors,rp.'=bI6424rprpI+4--5--4aa2rp2rpa2+-In-arpIL174I-vI--I-44rprpaa2~I+(I+v)ln-rpwhichgives,MomentFactors,LII=4.46310andLi7=0.046Mrb'=-2DPavgaC8C9a-rp-L172ab'"'(*-0')2bwhichgives,Mrb-2.11310andQb6.834-10Deflectionfrompressure/bending,4aaavgyb'.=Mrb.-C2+Qb-C3-L11DDDwhichgh/es,yb~-2.798'10qDefiectlonfrompressureIshear,2arprpK:=-0.32in--I+-~I-21n-bab2saavgat.Gwhichgives,Ksa=%.077andy=-3.348'10sqDeflet%ionfrompressureIhubstretch,Pflt(ab)DPg-PforceLystretch-ttb2Ewhichgives,Pf0~0=5.368.10-andy~~-4.64910COMEDPLEvaluationPCSL107A.MCDValveID:2CSLMOV1074page2 0 NiagaraMotunNkPowerCorporationNuclearEngineeringOriginator/DateQo~p~A.C~Pr/ralphNMP2CalculationCont.SheetChecker/DateA~~-<7Page/2d/STA10.1-AD403,Rev.01TotalDeflectionduetopressure,AdditionalGeometryFactorsyqybq+ysq+ystretchwhichgives,yq=<.611~10r:=aroL3=-.4-a22roaro+Iln-+--IaroaroL9.--a2I+vaI-vro-In-+-I-2ro4awhichgives,L30andL9~0DeflectionfromseatloadIbending,w:=IIIC2roC9roC3ybw.-L9--.+L3whichgives,OCSbb'bw=-1.45810DeflectionfromseatloadIshear,Ksa'=-1.2-In-abay~!=Ksa-tGwhichgives,Ksa<.489ysw=-1.298'10DeflectionfromseatloadIhubcompression,'2'll'aycompr"'=ttbLhwhichgives,ycompr102310ETotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw-2.85810whichgives,wequilibrium~Loadperseat=2tta-2.731~10yq~4ywEquilibriumcontactloaddistribution,yqwequilibrium'PressureLockingForce,COMEDPLEvaluationPCSL107A.MCDValveID:2CSLMOV107page3 84l NiagaraMohawkPowerCorporationNigciesrEnpineerinyOnpinstor/Date4Cesc>//tike!rgrNMP2CalculationCont.SheetChecker/Date/)./i)/4Pat/e/>ofr3bTA10.1-ADO03,Rev.01Fp]k2na-(itcos(e)-sin(0))2'YqWwhichg/vesaFPistonEffectForce,Pa~."=02pistonstreet'stem'(bonnetatm)whichganesaFp,stoncffcct=1326'10"ReversePistonEffect"Force,2vmt[s'e'('onnetupdeum)j'smigiTotalForceReuiredtoOvercomePressureLockinwhichgives,Fv~=1.678'10Ftotall=Fpreslock+Fpo+F'vert-F'pistoncffcctwhichgivesFtotal304969710ACTUATORCAPABILITY:ActuatorMotor/Size:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutputStemFactor:ThrustCapability:TQout:=TQIRVOGRAfEffTQoutTHcap:=-Sf=SMB-00S-15TQm:=14.18OGR:=23Af:=0.9Eff.s=0.45RV:=0.8848TQout=103.407Sf':=0.017861'IHcap5.7910ft-lbsft-lbs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20ThrustMargin:=THoap-'(pmmtKEI)eThrustMargin-3.081~10lbsConclusion:OpenThrustMarginisnegative,thereforethisvalveandactuatorareunlikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPCSL107A.MCDValveID:2CSL'MOV107page4

NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/Date6/itlF7NMP2CalculationCont.SheetChecker/DateWv-i~7Page/Q/I'37A10.1-AtM03,Rev.01ValveIDno:2ICSMOV121Reuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPlJTS'esignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),P>>..=1200ValveBonnetpressure(psig),Pbonnet1200Downstreampressure(psig),Pdown0ValveDiskGeometry:hubradius,b:=3.063hublength,L:=0.188meanseatradius,a.'=4.45averagediskthickness,t:=1.012artseatangle,u.=106:=--00.0872180ValveDiskMaterialProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3OtherValveParameters:eishalfdiskangleaValveStemDiameter,D<.=2.5ValveFactorVF:=0.6StaticUnseatingThrust,F>>.=27694(raference:Test¹7,1/9/96)(reference:NER-2M-010)CALCULATIONS:Coefficientoffnctionbetweendiskandseat,lt:=~ge)-sin(e)It=0.631(reference¹6)AverageDPAcrossDisk,DiskStitfnesConstants,up~downavg'onnet2glvesrDPavg600D:=andG:=EtE12(i-')2(1+v)whichgives,D=2.7910andG=1.131~10GeometryFactors,C2'.=-I--I+21n-C3.'=--+IIn-+--IIba.bbab4ab4aabaIbC8.'=-I+v+(I-v)-2a2bI+vaI-vbC9.---In-+-I-a2b4awhichgives,C20.043C80.816C3=0.004C9=0.23COMEDPLEvaluationPICS121A.MCDValveID:2ICSMOV121page1 n NiagaraMohawkPowerCorgorationNuclearEngin<<ringOriginator/DateWa~4.C~~~/rPl~NMP2CatcutationCont.Sh<<tChecker/Dateczf85>-ir7Pager+o//P7A10.1-AD403,Rev.01Add/t/onalGeometry'actors,rp=bI64242fpfpfpI+4--5--4aaa2rpa2+-ln-arp42II-v0fpaL17.=-I--I----I+(I+v)In-44aarpwhichgives,MomentFactors,LII~3.39810andL17=0.04Mrb.'=-2DPavgaC89a-rp-L172abDPavgQb.'=(a-roj2bwhichgives,Mrb-698.979andQb1.021'10Deflectionfrompressurelbend/ng,4aaavgayb.'=M*-C2+Qb-C3-LIIDDDwhichgives,yb-1.07810qDeflectionfmmpressure/sheer,2arprpKsa.'=-0.32In--I+-~I-2In-bab2sa'vgaysqwhichgives,Ksa~%.066endy~=W.877'10Deflecflonfrompressure/hubstretch,force'=tt(a-b)DPavgPfofoo'Lystretch-ttb2Ewhichgives,Pf1.964-10endy~t,>-2.131~10COMEDPLEvaluationPICS121A.MCDValveID:2ICS'MOV121page2 f NiagaraMohawkPowerCorPoratlonNuclearEngineertngoriginator/DateQc~r~rg.Q~pNMP2CalculationCont.SheetChecker/Date~~-i-e7PageAaf/3PA10.1-AD403,Rev.01TotalDeflectionduetopressure,yq'bq+-"sq+ystretchAdditionalGeometryFactorswhichgives,ro,'=ay=-1.78710qroL3.'=-.4a22roaro+1ln-+--1aroaroL9--.aIII2lyva1-vro-ln-+-1-2ro4awhichgives,L30andL90Deflectionfromseatload/bending,w:=1a3.wC2ro.C9roC3'bw'9--+L3whichg/ves,DC8bbybw~-3.6710Deflectionfromseatload/shear,roroKsa:=-1.2-ln-abayswi=Ksa-tGwhichgives,Ksa-0.448y~~-1.743'10Deflectionfromseatload/hubcompression,-2ttaycompr'=ttbL2whichgives,y=-3.03310TotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,y-5.44310whichgives,weq~brium328415Equilibriumcontactloaddistribution,yqequilibrium'wLoadperseat=2tta-9.1831(PyqywPressureLockingForce,COMEDPLEvaluationPICS121A.MCDValveID:2ICS'MOV121page3

NiagaraMohawkPovtterCorporationNuctearEngineeringOriginator/Date@capri@A~C.~/tr/Z5ly7NMP2CatculationCont.SheetChecker/DateIO.WPPager7of/P7A10.1-AD403.Rev.01YqFp~lock'tt'a-(Itcos(8)-sin(0))2whichgives,Fprslock993810~'wPistonEN'ectForce,Pau:=0pistonstreet'stem'(bonnet,stm)F1st"ReversePistonEffect"Force,Fcrt.=rta2pbonnctupdownTotalForceReuiredtoOvercomePressureLockinwh/chg/vesFycrt6506I0F<<taI:=Fpreslock+Fpo+Fycrt-Fpistonaffecwhichgives,.F<<~=3.82481410ACTUATORCAPABILITY:ActuatorModelISizerMotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor:ThrustCapability:TQoutTHcap:=-SETQout:=TQmRVOGRAfEff=SB-2-60TQm:=51.63OGR:=101.52Af:=0.9EK:=0.35RV:=0.8627TQout~1.229'10Sf:=0.029481THcap~4.16810ft-Ibsft-IbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNGMETHODOLOGY:KEI:=1.20TbtnstMssipn:=THeep-(FtomtKEI)ThrustMargin~-4.21610IbsConclusion:Open,ThrustMarginisnegative,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPICS121A.MCDValveID:2ICSMOV121page4

NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/DateDurgaA~C49t)pljrrNMP2CalculationCont.SheetChecker/DatePage/got/'37A10.1-AD403,Rev.01ValveIDno:2ICSMOV122Reuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS'esignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),P>>.=160ValveBonnetpressure(psig),Pbonnet,.=160Downstreampressure(psig),Pd.=0ValveDiskGeometry:eishalfdiskangleahubradius,b:=4.94meanseatradius,a=5.75averagediskthickness,t:=0.789attseatangle,a:=7e:=--e=o.o612180ValveDiskMaterialProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3OtherValveParameters:ValveStemDiameter,D~.=2ValveFactorVF:=0.5StaticUnseatingThrustFpo9730(reference:Test¹30,10/27/93)(reference:NER-2M-010)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,it:=~ge)-'-~(e)lt=0.515(referece¹6)AverageDPAcrossDisk,DiskStiffnesConstants,up+downDPavg'bonnet2gives,DPavg,803EtandG.E121-v2(1+v)whichgives,D=1.32210andG=1.131~10GeometryFactors,C2.'=-1--1+2ln-C3'.=--+1ln-+-.-11b2C8.=-1++2aC9.---ln-+-1--whichgives,C20.009C8=0.908C3=4.316'10C9=0.124COMEDPLEvaluationPICS122A.MCDValveID:2ICSMOV122page1 0 hNiagaraMohawkPowerCorporationNuctearEngineeringOriginator/Date+~~~AiO~y4/jpl+TNMP2CalculationCont.SheetChecker/Date7-1+7Page/fol~TA10.1-AD403,RW.01AdditionalGeometryFactors,rp.=bI64hh242000I+4--5--4aaarpa21--In-arpIL17442I-U'0aI--I----I+(I+Y)In-"4aarpwhichgives,MomentFactors,LII=1.54510andL170.009Mrb'=-2DPavgaC8C9a-rp-L172ab'(0)2b'hichgives,Mrb-28.505andQb=70.113Deflectionfrompressurelbending,4aaavgyb'=Mrb-C2+Qb'C3-LIIDDDhwhichgives,yb~3398'10qDeflect/onfrompressurelshear,2arprpK~:=-0.32'In--I+-~I-2In-bab2m'vgatG"whichgives,Ksa~%.013andysq371510hhDeflectionfrompressure//hubstretch,orce'=tt(a-b)DPavg-Pforce.Lystretchttb.2Ewhichgives,Pforce2176l(Pandystretch603410COMEDPLEvaluationPICS122A.MCDValveID:2ICS'MOV122page2

NiagaraMohawkPowerCorporationNuotearEngineeringOriginatorloate'Daor~poJPr~Mi</r5~f7NMP2CatoLrlationCont.SheetChN'kar/OstIggpPage~i>~A10.1-AD403,Rw.01TotalDeflectionduetopressure,yq'bq+ysq+ystretchwhichgives,y=-7.17410AddilionalGeometryFactorsro.'=aroL3.=-.4a22roaro+Iln-+--IaroaroL9.'=-a2I+vaI-vro-In-+-I--2ro4awhichgives,L3=0andL9=0PDeflectionfromseatload/bending,w'-]C2rpC9foC3ybw'~L9--+L3DC8bbwhichgives,ybw=-1.43~oDeflectionfromseatload/shear,Ksa:=-1.2-ln-aby:=Ksa-whichgives,Ksa.182tGy~-1.174'10Deflectionfromseatload/hubcompression,-2'1taycomprttbL2whichgives,y~mpr=-I002'10TotalDeflectionfromunitseatload,yw:=ybw+yswaycomprwhichgives,yw262110whichgives,Equilibriumcontactloaddistribution,yqwequilibrium'Loadperseat=2tta-988.835yqywequilibriumPressureLockingForce,COMEDPLEvaluationPICS122A.MCDValveID:2ICS'MOV122page3

NiagaraMohawkPowerCorPorationNuctearEngineeringOriginator/DateWCms>c/A~~/g//25'lf7NMP2CatculationCont.SheetChecker/DatePagegloti>7A10.1-AO403.Rev.01VqFpresIock2+a(pcos(e)-sin(e))2whichgives,Fpreslock=895.433Yw1'istonEffectForce,Pau:=02Fpistcnstreet'Dstem'(Phcnnet-Penn}whichgive,pistcnefreet=502655"ReversePistonEffect"Force,Fvert.'=na2Pbonnetupdown-sin(e)whichgives.TotalForceReuiredtoOvercomePressureLockinF~1.015'10Ftotal:=Fpreslock+Fpo+Fvert-Fpistoneffectwhichgives,F><=1.11373510TQoutTHcap:=-SfACTUATORCAPA8ILITYtActuatorModel/Size:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:TQout:=TQmRVOGRAfEffStemFactor:ThrustCapability:=SMB-0-25TQm:=25.0OGR:=43.69Af:=0.9Eff:=0.4RV:=0.806TQout=316.927Sf:=0.019627THcapIs61510ft-lbsft-IbsIbsENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20ThrustMtutpn:=THcsp-(FmmiKHI}ThrustMargin~2.783~10IbsConclusion:OpenThrustMarginispositive,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPICS122A.MCDValvelD:2lCSMOV122page4

NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/Date~,~,A'.~c./,];ZPPNMP2CalculationCont.SheetChecker/Date+"r-i+7PagegZof/3~Ato.t-AD403.Rev.01ValveIDno:2ICSMOV128Reuired0eninForceDefernminafionunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pp.=1200ValveBonnetpressure(psig),Pbonnet'=1200Downstreampressure(psig),Pdo.=0ValveDiskGeometry:hubradius,b:=3.063hublength,L:=0.188rmeanseatradius,a:=4.45averagediskthickness,t:=1.012aftseatangle,a:=100:=--80.0872180ValveDiskMaterialProperties:modulusofelasticity,E:=29400000OtherValveParameters:Poisson'sRatio,v:=0.38ishalfdiskangleuValveStemDiameter,D~.=2.5ValveFactorVF:=0.6StaticUnseatingThrust,Fpo17995(reference:Test¹10,5f4N5)(reference:NER-2M-010)CALCULATIONS:Coefficientoffnct/onbetweendiskandseat,It:=cue)-sin(6)It=0.631(reference¹6)AverageDPAcrossDisk,DiskSfiffnesConstants,up+downDPavg.'=Pbonnet2gives,DPavg600D:=andG:=EtEl2(1-')2(1+v)whichgives,D=2.7910andG=1.131~10Iba.bbabGeometryFactors,C2'.=-I--I+2In-C3'.=--+IIn-+--I4ab4a,abaIbC8:=-I++2bI+vaI-vb2C9'=--In-+-I-a2b4awhichgives,C20.043C808'6C3~0.004C9~0.23COMEDPLEvaluationPICS128A.MCDValveID:2ICSMOV128page1

NiagaraMohawkPowerCorporationNuclearEngineeringOrigina!or/Date2c/isJapNMP2CalculationCont.SheetCheckor/Da!ep-j-f7PageZgofiS7'10.1-AD403,Rev.01Addit/onalGeomet/yFactors,rp'.=b2422fpfpfpfpL11'=-I+4--5--4.-~2+-ln-64aaaarpIL17.'=-442I-Y00aI--I----I+(I+Y)ln-4aarpwhichgives,LII=3.39810andMomentFactors,L17~0.04~Mrb'DPavgaC9(2'pj1(C82ab~b:=.'"'(*-0*)2bwhichgives,Mrb-<98.979andQbI021IpkDeflectionfrompressure(bending,aaavga34yb'=M*-C2+Qb'C3-LIIooowhichgives,yb=-1.078-10qDeflectionfrompressureIshear,2arpr'pK~:=-0.321n--I+-~I-21n-bab2Km'DPavgat.Gwhichgives,Ksa%.066andIIIy~%.87710sqDeflectionfrompressurelhubstretch,Pfpfee't(ab)DPavgPfpfce'Lystretch'=ttb2Ewhichgives,Pfp~=1.96410andy~h=-2.13110COMEDPLEvaluationPICS128A.MCDValveID:2ICS'MOV128page2

NiagaraMohawkPowerCorporationNuctearEngineeringOriginator/Dateuo~r~~<-d~pc/~VppNMP2CalculationCont.SheetChecker/DateA10,1.AD403,Rev.01TotalDeflectionduetopressure,yq:ybq~ysq+y~~hwhichgives,y=-1.78710AdditionalGeometryFactorsro.'=aroL3,--4a22roaro+IIn-+--IaroaroL9-'=-a21I+vaI-vro-In-+-I-2ro4awhichgives,L3=0and'L90Deflectionfromseatload/bending,w:=Ia3.wC2roC9ro.c3ybw'9--+L3DC8bbwhichgives,ybw=-3.6710Deflectionfromseatload!shear,roroKsa:=-1.2-In-aby~.'=Ksa-whichgives,KsaW.448tGy~~-,1.74310Deflectionfromseatload/hubcompression,-2'tt'aycompr'tbL2whichgives,ycompr3'03310TotalDeflectionfromunitseatload,yw:=ybw+y~+ycomprwhichgives,yw=-5.44310whichgivestwcqtulibzum328.415Equilibriumcontactloaddistnbut/on,yqwequiIibriumywLoadperseat=2tta-=9.183~10yqywPressureLockingForce,COMEDPLEvaluationPICS128A.MCDValveID:2ICS'MOV128page3 It NiagaraMohawkPowerCorPorationNuctearEngineenngOriginator/DateZcXs~~vA.~/P'/t,rZzlppNMP2CatculationCont.SheetChecker/Date~retr'I"Pagano//97A10.1.AD403,Rev.01Yq3Fpreslock2tta-(pcos(1)-sin(e))2whichgives,Fpreslock=9.938'0VwPistonEffectForce,Pau'.=0ttFpinonWmtDm'(PhonerPenn)rwhichg/ves,Fpistoneffec"ReversePistonEffect"Force,Frets.=[as(2Phonnetup-Pttoten)]sin(S)TotalForceReuiredtoOvercomePressureLockinwhichgives,Fv~650610Ftotall=Fpreslock+Fpo+Fvert-Fpistonwhichgives,F>~2.854914.10ACTUATORCAPABILITY:ActuatorMode!ISize:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:TQout:=TQmRVOGRAfEffStemFactor:ThrustCapability:THcap:=-TQoutSf=SB-2-60TQm.'=58.37OGR:=72.01Af:=0.9Eff:=0.4RV:=0.8703TQout=1.14610Sf:=0.029481THcap~3.88810ft-1bsft-1bs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNGMETHODOLOGY:KEI:=1.20ThrustMtntpn:=THoap-(Fn,uuKE!)ThrustMargin4.617'101bsConclusion:OpenThrustMarginispositive,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPICS128A.MCDValveID:2ICSMOV128page4

NiagaraMohawkPowerCorgorationNuoiearEngineeringNMP2CalculationCont.Sheetcheekerioste~r/</r7Pageant/'07A10.1-AD403,Rev.01ValveIDno:2ICS'MOV129Reuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPIJTS:ValveDiskGeometry:hubradius,b:=2.25meanseatradius,a:=3averagediskthickness,t:=0.378e:=-'"e=o.o612180eishalfdiskangleahublength,L:=0.125seatangle,u:=7ValveDiskMaterialProperties:modulusofelasticitY,E:=29400000Poisson'sRatio,v:=0.3DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pp.=76ValveBonnetpressure(psig),Pbonn<<=2799Downstreampressure(psig),Pdo~0OtherValveParameters:ValveStemDiameter,D<~.=1.5ValveFactorVF:=0.65StaticUnseatingThrust,F~.=5924(reference:Test¹12,6/QM3)(reference:NER-2M-010)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,It.,=cue)-sin(e)It0.676(reference¹6)AverageDPAcrossDisk,DiskStlffnesConstants,avg'onnetPup+Pdo~gives;DPav<=2.761~102D:=andG:=EtEu(1-.*j2(1+v)whichgives,D=1.45410andG=1.131~101ba,bbabGeometryFactors,C2.'=-I--I+2.1n-C3'.=--+1ln-+--I4ab4aaba1b2C8.=-1+v+(1-v)-2abI+va1-vb2C9.---ln-+-1--a2b4awhichgives,C20.028C8~0.847C3~0.002C9~0.198COMEDPLEvaluationPICS129A.MCDValveID:2ICS'MOV129page1

NiagaraMohawkPowerCorPorationNuctearEngineeringOnginator/DateWc,~~a,A'.QuarSc./ip~NMP2CatcutationContSheetChecker/DatePageMottpTA10.1-AD403,Rw.01AdditionalGeomet/yFactors,rp.'=bI11642422rprpfpfpI+4--5--4-~2+-ln-aaaarpIL17'.=-.442I-vrOrOaI--I----I+(I+v)In-4aarpwhichgives,MomentFactors,LII=1.45310andL17=0.027Mg:=-2DPavgacsC9-(-0j-"I72ab.,~b:=-'"'('-0')2bwhichgives,Mrb=%03.057andQb~2.41610DetiectionfrompressureIbend/ng,aaavg.a34yb'.=Mrb-C2+Qb-C3-LIIooowhichgives,yb--8.04910qDeflectionfrompressureIshear,2a'o'oK:=-0.32In--I+-I-21n-sa'ab2sa'vgatGwhichgives,Ksa041'ndy~-2.40410sqDeflectionfrompressure/hubstretch,Pfore'0Tt(ab)DPavg-PforceLystretch'=ttb2Ewhichgives,Pforce341510andystretch-4.56510COMEDPLEvaluationPICS129A.MCDValveID:2ICSMOV129page2

NiagaraMohawkPowerCorPorationNuotearEngineeringOrtginatorioateWoe~-.4.Cavyc/~/ppNMP2CalcutattonCont.Sheetchecker/Dmto~p/j/rpPagegdoflVV'10.1-ADOOS,Rev.01TotalDeflectionduetopressure,AddilionalGeometry'actorsyq'=ybq+ysq+ysttchwhichgivesyq=~001ro.'=aroL3=-4a22roaro+11n-+--1araroL9.'--.ar1+va1-vo-ln-+-1-2ro4awhichgives,L3=0andL9=0Deflechonframseatload/bending,w:=IIPas.wC2roC9roC3yb'.=-----L9--+L3DC8bbwhichgives,ybw=-1.08810Deflectionfromseatload/shear,roroKsa:=-1.2-In-abay~'.=Ksa-tGwhichgives,Ksa<.345ysw~-2.42310Deflectionfromseatload/hubcompression,-2rtaycompr'=rtbL2whichgives,ycompr=-252'107otalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw133210Equilibriumcontactloaddistribution,cqttitibrtttmwhichgives,yqwLoadperseat=2rta-=1.48510yqywwcqtttTtbrtttm787.968PressureLockingForce,COMEDPLEvaluationPICS129A.MCDValveID:2ICSMOV129page3 lgFy NiagaraMohavttkPovtrerCorporationNuclearEngineeringOriginatorloate'Qp~ry>><.Cecq/gQj/F7NMP2CalculationCont.SheetChecker/Date,gHIIPage2lotI77A10.1.AD403,Rev.01VqFp1ock21ta(pcos(0)sin(8))2whichgives,Fp,1oc1'wPistonEffectForce,Pau:=01t2I"pistonstreettem'ibonnetatm)pistoneffect"ReversePistonEffect"Force,Fvetttta2PbonnetPupPtlownstn()whichgivesFvert953210TotalForceReulredtoOvercomePressureLocklnFtotal:Fpres1ock+FpotF>crtFpistowhichgives,F<<~=2.87274610ACTUATORCAPABILITY:ActuatorModel/Size:MotorTorqueOutput:GearRatio:ApplicationFactor.PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:TQoutTHcap'.=-,SfTQout:=TQmRVOGR.AfEffft-lbsft-Ibs=SMB-00-10TQm:=10.0OGR:=36.2Af:=0.9Eff:=0.4RV:=0.8252TQout107.54Sf:=0.015334THcap=7.01310'bsENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20TbrnstMargin:=THoap-(F>>mtKEI)ThrustMargin~-2.746101bsConclusion:OpenThrustMarginlsnegative,thereforethisvalveandactuatorareunlikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPICS129A.MCDValveID:2ICSMOV129page4 0 NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/Date~/i~/vrNMP2CalculationCont.SheetChecker/DatePageQO//P7A10.1AD403.Rev.01ValveIDno:2RHSMOV115ReuiredOeninForceDeternminafionunderPressureiockinCondifionsCOMEDMethodDESIGNINPUTS'alveDiskGeometry:hubradius,b:=5.75hublength,L:=0.25meanseatradius,a:=7.703averagediskthickness,t;=1.644seatangle,a'=100:=-'"0-0.08721800ishalfdiskangleaValveDiskMaterialProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3OtherVaNeParameters:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),P.=85ValveBonnetpressure(psig),Pbonnet'=7105Downstreampressure(psig),Pdo~0It0.521(reference¹6)ValveStemDiameter,D~.=2.375'taticUnseatingThrust,Fpo12604(reference:Test¹4,6/24/93)ValveFactorVF:=0.5(reference:NER-2M-010)1CALCULATIONS:Coefficientoffnctionbetweendiskandseat,It:=~<0)-sin(0)AverageDPAcrossDisk,DiskSt/ffnesConstants,gives,DPag=7.06310andG:=2(1+v)P~+Pdo~avg'onnet2Et312I-vwhichgives,D=1.19610andG1.131~10Iba".bbabGeometryFactors,C2'.=-I--~I+2In-C3',=--+IIn-+--I4ab4aabaIb2C8-'+v+(I-v)-2a2C9.---In-+-I-whichgives,C2~0.029C8~0.845C3~0.002C9=02COMEDPLEvaluationPRHS115A.MCDValveID:2RHSMOV115page1 0 NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/DateWc~i~~W.impc.gp/ppNMP2CalculationCont.SheetChaclterllhte~Qg/~ePagea/of/'3TA10.1-AD403,Rev.01AdditionalGeometryFactors,rp"=b242I000LII'=-1+4--5--464aaa2rpa2+-ln-arpIL1744I-v0I--I--4a2rpaI+(I+v)In-arpwhichgives,LII=1.53510andMomentFactors,2DPavgaC9/Mrb'.=-~-~a-rp,i-L17C82abL17~0.028'(Oi2bwhichgives,Mrb=-1.5710andQb1.61410Deflectionfrompressureibending,4aa"avg'b'rb'C2+Qb'C3'LllD.DDwhichgives,yb=W.OOIqDetiecfionfrompressure/shear,2arprpK~:=-0.321n--I+-~1-21n-b-'b2stt'vgat.Gwhichgives,Kaa=%.043andy~=%.605'ODefieÃonfrompressurelhubstretch,Pforca't(ab)DPavg-PforciLystretch-ttb2Ewhichgives,Pf0~5.82910andy~th-2.38610CQMEDPLEvaluationPRHS115A.MCDValveID:2RHS'MOV115page2

NiagaraMohawkPowerCorporationNuotearEngineeringOriginatorloateVo~rvpe4.Qmac/(slp7NMP2CalculationCont.SheetChecker/DIt~~p/1)ggPage32ofr&7A10.1-AtM03,Rev.01TotalDeflectionduetopressure,AdditionalGeometryFactorsyq:ybq+ysq+y~~hwhichgives,,yq=%.002r"=aroL3--4a22roaro+IIn-+--IararpL9.=-a2I+vaI-vro-~In-+-I-2rp4awhichgives,L3=0andL9=0Detlectionfromseatload/bending,w:=IC2rpC9fpC3ybw'9--+L3whichgives,DC8bbybw=-2.33810Deflectionfromseatload/shear,Ksa:=-1.2-In-abaysw'=~'Gwhichgives,Ksa-0.351y'w-1.454'10Deflectionfromseatload/hubcompression,-2'tt'aycompr'tbL2whichgives,y~r=-1.981~10TotalDeflectionfromunitseatload,yw:=ybw+ysw+yeomprwhichgives,yw3'81110Equilibriumcontactloaddistnbution,yqwequiiibritm:=-whichgives,ywLoadperseat~2tta-=2.71210yqywwequilibrium5'6NIPPressureLockingForce,COMEDPLEvaluationPRHS115A.MCDValveID:2RHS'MOV115page3 0 NiagaraMohawkPowerCorporationNuoiearEngineeringOriginatot/Datez~~g~g;A.4~8/zHs7NMP2CalculationCont.SheetChecker/DatePage&of/3'7A10.1-AD403,Rev.01Yqpreslock'=211a-"(p'cos(e)-sin(e))2"whichg/ves,Fpresloci;YwPistonEffectForce,pistonetreot'='tem'(bonnetatm)whiclgives,Fpistonegect"ReversePistonEffect"Force,.IPont/=[aa(2PbonnetnpPttonn)]sin(g)TotalForceReuiredtoOvercomePressureLockinwhichgives,F~=2.29510Ftotd:=Fp~I~k+Fpo+Fv~-Fpi~nerectwhichgives,Ftod4.44765410ACTUATORCAPABIUTY'QoutTHcap:=-SfActuatorModelISIze:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:TQout."=TQmRV-OGRAfEffStemFactoi:ThrustCapability:=SMB-0-25TQm.'=24.67OGR:=58.13Af:=0.9Eff:=0.4RV:=0.8767TQout=396.802Sf:=0.023664THcap1.67710ft-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.JtENHANCEDPRESSURELOCIQNGMETHODOLOGY:KEI:=1.20TbrnstMargin:=THoap-(pmmtKBI)ThrustMargin~-5.17101bsConclusion:OpenThrustMarginIsnegative,thereforethisvalveandactuatorareunlikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPRHS115A.MCDValveID:2RHS'MOV115page4

NiagaraMohawkPowerCorporationNuotearEngineeringOriginator/Date<</c'r/r7NMP2CalcutationCont.SheetCh<<kerlDle~>//~Pageggf137A10.1.AD403.Rev.01ValveIDno:2RHS'MOV116ReuiredOeninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS'alveDiskGeometry:hubradius,b:=5.75meanseatradius,a.'=7.703averagediskthickness,t:=1.644attseatangle,a.=100:=--0=0.08721800ishalfdiskangleahublength,L:=0.25ValveDiskMaterialProperties:modulusofelasÃcity,E:=29400000Poisson'sRatio,.=0.3OtherValveParameters:DesignBasisConditionsattImeofPressureLockingEvent:Upstreampressure(psig),Pp.=133ValveBonnetpressure(psig),Pbonnet=1868Downstreampressure(psig),Pdown0ValveFactorVF:=0.5ValveStemDiameter,D~..=2.375StaticUnseatingThrustFpo16894(reference:Test¹10,7/10195)(reference:NER-2M-010)CALCULATIONS:Coefficientoffrictionbetweendiskendseat,it:=cos(0)--sin(0)IVFp0.521(reference¹6)AverageDPAcrossDisk,DiskStNnesConstants,up+"downDPavg'.=Pbonnet2glvesrD;=andG:=i2.(1-')2(1+v)DPavI80210whichgives,D1.19610andG=1.131~10IbabbabGeometiyFactors,C2.=-I--1+2ln-C3'.=--+Iln-+--I4ab4aabaIb2bI+vaI-vb2C8:=-'+v+(I-v)C9,---In-+-I--2aa2b4awhichgives,C20.029C80.845C3=0.002C9=0.2COMEDPLEvaluationPRHS116A.MCDValveID:2RHS'MOV116page1 0w} NiagaraMohawkPowerCorporationNuctearEngineeringOriginator/Date+~~ape+-OW2rXp(gpNMP2CalculationCont.SheetCheckerloate~g~/pPage'PSof~>>Ato.t-AD403,Rev.01AdditionalGeometryFactors,rp.'=b2422IfPrPrPfPL11'.=-1+4--5--4-~2+-In-64aaaarpIL17-=-.42I-vrprpaI--I----I+(I1-v)In-4aarpwhichgives,L1,1=1.53510andMomentFactors,2DPavgaC9/~(a-rp(-L17C82abL17=0.028'rib.-'"'.(a'-r,*j2bwhichgives,M~=-4.00510and3Qb=4116IODefiedionfrompressure/bending,aaavg.a34yb'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb~-2.93710qDetiectionfrompressure/shear,2arprpK~:=-0.32In--I+-I-2In-bab2mPavgaysqwhichgives,K~~&.043andy-24510sqDefieBionfrompressure/hubstretch,Pf"'(ab)DPg-PforceLystretch'vnb2Ewhichgives,Pfo~1.487'10andystretch%.087'10COMEDPLEvaluationPRHS116A.MCDValveID:2RHS'MOV116page2

lII, NktgaraMohawkPovrerCorporationNuclearEngineeringOrtginatorloate~~~~y~~.8~al~s/j~NMP2CalculationCont.SheetChecker/Date~le/e~Page/cotr>WA10.1-AD403.Rev.01TotalDeflectionduetopressure,AdditionalGeometryFactorsyq:=ybq+ysq+ystthwhichgives,yq544810ro;=aroL3--.4a22roaroe-IIn-+--IaroaroL9.'=-a2I+vaI-vro-In-~-I-2ro4awhichgives,L3=0andL9~0Deflectionfromseatload/bending,w:=Ias.wC2roC9roC3ybw-L9--+L3whichgives,DC8bbybw"2.338'10Deflectionfromseatload/sheer,roroKsa.'=-1.2-In-abysw.'=Ksa-whichgives,tGKsa~<.351ysw~-1.454'10Deflectionfromseatload/hubcompression,L--2'tt'a2ycompr'=2'ttbEwhichgives,y~-1.981~10TotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw~-3.81I10whichgives,wequilibrium~1.42910Equilibriumcontactloaddistribution,yqwequilibrium'=ywLoadperseat=2tta-6.91810yq4ywPressureLockingForce,COMEDPLEvaluationPRHS116A.MCDValveID:2RHS'MOV116page3

NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/DateQc,~/~augtieg/Z)l57NMP2CalculationCont.SheetChecker/Date>>geN<</37A10.1-AO403,Rev.01preslock"'a'(>')())v'reslockYq~4YwPistonEffectForce,P~,=0pistoneffectDstem'ibonnetatm)whichgives,Fp,st,neffect=8.27510'ReversePistonEffect"Force,Frets.'=[sa(2Fbonnet-Pp-Pgo~)]sin(g)TotalForceReuiredtoOvercomePressureLockinwhichgives,F~=5.85410Ftotal'Fpreslock+Fpp+Fvert-Fpistoneffectwhichgives,F>~=.1.26883~10ACTUATORCAPABILITY:'ctuatorModel/Size:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:'StemFactor.ThrustCapability:TQoutTHcap:=-SfTQout:=TQmRVOGRAfEff=SMB-0-25TQm'=24.67OGR:=58.13Af:=0.9Eff:=0.4RV:=0.8731TQout~393.55Sf:=0.023664THcap~1.663~10ft-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20ThrustMargin--THcap-(FtoMKEi)ThrustMargin~-1.356'10lbsConclusion:OpenThrustMarginisnegative,thereforethisvalveandactuatorareunlikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPRHS116A.MCDValveID:2RHS'MOV116page4 0 NiagaraMohawkPowerCorporationNuctearEngineeringOriginator/DateNMP2CalculationCont.SheetChecirer/DatePaggtrtri/P7A10.1.AD403,Rev.01ValveIDno:2RHSMOV4AReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:ValveDiskGeometry:hubradius,b:=2.25hublength,L:=0.125raveragediskthickness,t:=0.378e:=--o.o612180eishalfdiskanglea4meanseatradius,a:=3seatangle,a:=7ValveDiskMaterfalProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3DesignBasIsConditionsattimeofPressureLockingEvent:eUpstreampressure(psig),P=325ValveBonnetpressure(psig),Pbo<<=9677Downstreampressure(psig),Pdown0OtherValveParameters:ValveStemDiameter,D<~'.=1.5ValveFactorVF:=0.5StaticUnseatingThrustFpo6341(reference:Test¹5,t/7/97)(reference:NER-2M-010)CALCULA77ONS:Coefficientoffiictionbetweendiskandseat,lt:=cope)--sin(e)IVFIt0.515(reference¹6)AverageDPAcrossDisk,DiskStlffnesConstants,gives,DPavg951510andG'=2(I+v)up~downavg'onnet2E.t3u(i-.*jwhichgives,D1.45410andG1.131~10b1+vaI-vb2C9---In-+-I--a2b4aIba.bbabGeometryFactors,C2'.=-,I--~I+2In-C3'=--+IIn-+--I4ab4aabaIbC8.=-2awhichgives,C20.028C8=0.847C3=0.002C9=0.198COMEDPLEvaluationPRHS4AA.MCDValveID:2RHS'MOV4Apage1 lj NiagaraMohawkPowerCorPorationNuctearEngineeringOriginator/DateWo+.~~-4.Ceg~/~g/.~NMP2CalculationCont.SheetChecker/DatePage5&f~>>A10.1-AtM03,Rev.01AdditionalGeometry'actors,rp'.=bI64242fpfpfpI+4--5--4aaa2rpa2+-~In-,arp1L174421-vrPrPaI--I----I+(I+v)ln-4aarpwhichgives,MomentFactors,LII=1.45310andL17=0.027Mrb'DPavgaC8a-rp-L172.ab<b:-.'"'(*-"*j2bwhichgives,Mrb=-3.11210andQb~8.32510Deflectionfrompressureibending,4aaavgyb'=Mrb-C2+Qb-C3-L11ooowhichgives,yb=<.003qDeflectionfrompressure/shear,2arprpK:=-0.32In--I+-I-21n-Sa'bb2sa'vgysq'=whichgives,Ksa=%.041andy'8.28610sqDeflectionfrompressurelhubstretch,Pf0~tt(ab)DPavg.-Pto~'Lystretch'=ttb2Ewhichgives,Pto~=1.17710andy~~~-1.57310COMEDPLEvaluationPRHS4AA.MCDValveID:2RHS'MOV4Apage2 IhI~ NiagaraMohawkPowerCorporationNuclearEngineeringOriginatorloateQomrap.g.@goy/gy/<NMP2CalculationCont.SheetPagegoofisTA10.1-AD403,Rev.01TotalDeflectionduetopressure,AdditionalGeometryFactorsyq:=ybq+ysq+ygetchwhichgives,yq=.004r.'=aroL3'=-4a22roaro+IIn-~--Iar'0aroL9,'=-a2I+vaI-vro-ln-+-I-2ro4awhichgives,L3=0andL9=0Deflectionfromseatload/bending,w:=IC2roC9roC3ybw-L9--+L3whichgives,DC8bbybw=-1.08810Deflectionfromseatload/shear,roroKsa:=-1.2-In-aby~:=Ksa-whichgives,tGKsa<.345ysw~-2.42310Deflectionfromseatload/hubcompression,.-2naycompr'bL2Ewhichgives,ycompr252109TotalDeflectionfromunitseatload,yw:=ybw+yswaycomprwhichgives,yw=-1.33210Equilibriumcontactloaddistribution,wequii;brium.'=-whichgiveswequilibriu=2.71510yqywLoadperseat=2na-=5.11810yqywPressureLocldngForce,COMEDPLEvaluationPRHS4AA.MCDValveID:2RHSMOV4Apage3

NiagaraMohawkPowerCorPorationNuclearEngineeringOriginator/Date'Dc,mrs38~>s/S/l567NMP2CalculationCont.SheetChecker/Date~,etrr1Page'flor>>7Ato.t-AD403,Rev.01Fpreslook2aa-(1cos(e)-sin(e))2whichgives,Fpros1001=4.63510Yq~~~4WPistonEffectForce,Pa~'.=0PPinonW~t:=SDn~(Phoner-Pet)"ReversePistonEffect"Force,Frets~.'=[se~(2PhonnetupPdorm)j'etn(tt).ITotalForceReuiredtoOvercomePressureLockinwhichgive~,Fpistonwhichgives,Fy~328510Ftotall=Fproslook+Fpo+Fyurt-Fpiston0@00whichgives,F<<~=6.84352710ACTUATORCAPABILITY:ActuatorModelISize:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:TQoutTHcap:=-SfTQout:=TQmRVOGR.AfEff=SB-OOS-15TQm:=14.18OGR:=36.2Af:=0.9EQ':=0.45RV:"-0.8538TQout~151.549Sf:=0.018919THcap=8.0110ft-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20ThrustMeripn:=THoep-(pn,~KEI)ThrustMargin=-7.411~10lbsConclusion:OpenThrustMarginisnegative,thereforethisvalveandactuatorareunlikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPRHS4AA.MCDValveID:2RHSMOV4Apage4 fp0 NiagaraMohawkPowerCorporationNuclearEngineeringOrlglnalor/Date~z/vr>p~8~4/2'3/Y7NMP2CalculationCont.SheetChecker/Date~z/z/rgPage/Zof/$7A10.1-AD4ta,Rev.01ValveIDno:2RHSMOV4BReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS'esignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pp.=325ValveBonnetpressure(psig),Pbo~<<=9677Downstreampressure(psig),Pdo.=0ValveDiskGeometry:hubradius,b:=2.25raveragediskthickness,t:=0.378e:=-=o.o612180eishalfdiskangleameanseatradius,a:=3seatangle,a'.=7hublength,L:=0.125Poisson'sRatio,v:=0.3ValveDiskMaterialProperties:modulusofelasticity,E:=29400000OtherValveParameters:ValveStemDiameter,Dst.=1.5ValveFactorVF:=0.5StaticUnseatingThrust,Fpo7324(reference:Test¹5,6/16/96)(reference:NER-2M-010).CALCULAnONS:Coefficientoffrictionbetweendiskandseat,it:=cope>I--~(e)VFp0.515(reference¹6)AverageDPAcrossDiskDPavgupdowngives,DPav<=9.515102Et3DiskSfNnesConstants,D:=andG:=n.(i-')2(1+v)whichgives,D1.45410andG1.131~10Iba.bbabGeometlyFactors,C2.'=-I--I+21n-C3'.=--+IIn-+--I4ab4aabaI2c8:=-1+v+2ab1+vaI-vb2C9---In-+-I--a2b4awhichgives,C20.028C8=0.847C3=0.002C9=0.198COMEDPLEvaluationPRHS4BA.MCDValveID:2RHSMOV4Bpage1 ,)pf NiagaraMohawkPowerCorgorationNuctearEngineeringOriginator/Date-~p-N.<~ier.abpNMP2CalculationCont.SheetChecker/DatePager/3of/37A10.1-AD003,Rev.01AdditionalGeometryFactors,rp'=b164242000]+4--5--4aaa2'02+-ln-a1L]74421-U00a1--1----I+(]+Y)ln-4aarpwhichgives,MomentFactors,Lll=1.45310andL]70.027Mrb'=-2DPavgaC8C9-a-rp-L]72abwhichgives,Mrb-3.11210andQb=8.325]0DeflectionfrompressureIbending,aaavga34yb'.=Mrb-C2+Qb'C3-L]1ooowhichgives,yb~0.003qDeflectionfrompressure/shear,2arprpK~:=-0.32]n--]+-~1-2]n-'ab2m'vgaysq'=whichgives,Ksa~%.04]andy'-8.28610sqDeflectionfrompressureIhubstretch,Pforcett(ab~)DPavgPforce'Lystretchttb2Ewhichgives,pforce]]77]pandystretch-].573]pCOMEDPLEvaluationPRHS4BA.MCDValveID:2RHS'MOV4Bpage2 1 NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/Date.>oA.e~zQzz/syNMP2CalculationCont.SheetChecker/Date~rWrZPeg~Af/j7A10.1-AD403.Rev.01TotalDeflectionduetopressure,AdditionalGeometryFactorsyq:=ybq~ysq+ystetchwhichgives,yq0004ro=aroL3.=-.4a22roaro+IIn-+--IaroaroL9--a2I+vaI-vro-In-+-I-2ro4awhichgives,L3=0andL9~0Deflectionfromseatload/bending,w:=IawC2rDC9fpC3ybw:-L9--+L3whichgives,DC8bbybw-1.08810Deflectionfromseatload/sheer,roroKsa:=-1.2-In-abay:=Ksa-tGwhichgives,Ksa~<.345y~~-2.42310Deflectionfromseatload/hubcompression,-2'll'aycompr'tbL2whichgives,ycomprTotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,y=-1.33210Equilibriumcontactloaddistribution,yqequiiibn~:=-whichgives,ywLOadperSeata-2fta-5.11810yq4ywequilibriumPressureLockingForce,COMEDPLEvaluationPRHS4BA.MODValveID:2RHS'MOV4Bpage3 1 NiagaraMohawkPowirCorporation'uclearEngineeringOriginator/Date'3cmrwagA'-~&/isls7NMP2CatculatlonCont.SheetChecker/DatePagett+ofW7A10.1-AD403,Rev.01Fprslock(l')())gpfeloctuVq~4WPistonEtectForce,P~'.=0tt2/Fpistonetrtmt'=u'Dstem'(PbonnetPerm)whichgives,"ReversePistonEffect"Force,Fyett.'=rta2Pbonnetupgown.sin(0)1TotalForceReuiredtoOvercomePressureLockinwhichgives,Fy~328510rFtotal:=FprestoedpFpo+Fyett-Fpistoneffectwhichgives,F<<~=6.94182710ACTUATORCAPABILITY:ActuatorModelISize:MotorTorqueOutput:GearRatio:ApplicationFactor.PulloutEfficienc:ReducedVoltage:TorqueOutput:StemFactor.ThrustCap'ability:TQoutTHcap:=-SfTQout:=TQmRVOGRAfEff=SB-OOS-15TQm:=14.18OGR:=36.2Af:=0.9Eff:=0.45RV:=0.8741TQout~158.841Sf:=0.018919THcap~8.396'10ft-lbsft-1bsIbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20ThrustMargin:=THcsp-(FmmtKEt)ThtustMargin=-7.491~101bsConclusion:OpenThrustMarginisnegative,thereforethisvalveandactuatorareunlikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPRHS4BA.MCDValveID:2RHSMOV4Bpage4 U NiagaraMohawkPowerCorporationNuclearFngineeringOriginator/Date.~.ZAc/zylspNMP2CalcuhtionCont.SheetChecker/DatePagefrcpf/37A10.1-AD403,Rev.01ValveIDno:2RHS'MOV4CReuiredOeninForceDeternminationunderPressureiockinConditionsCOMEDMethodDESIGNINPUTS'alveDiskGeometry:hubradius,b:=2.25meanseatradius,a:=3seatangle,a'.=7averagediskthickness,t:=0.378e:=--0.06I21806ishalfdiskangleahublength,L:=0.125ValveDiskMaterialPropertie:modulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3OtherValveParameters:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pnp325ValveBonnetpressure(psig),Pbonn<<=9677Downstreampressure(psig),Pdown0ValveFactorVF'=0.5ValveStemDiameter,Dst~1.5>StaticUnseatingThrust,Fpo3798(reference:Test¹21,Tlt8/g5)(reference:NER-2M-010)CALCULATIONS:Coeftic/entoffrict/onbetweendiskandseat,lt.=coge)I--sin(6)VFIt=0.515(reference¹6)AverageDPAcrossDisk,DiskSNfnesConstants,gives,'P<<g=9.515~10G:=E2.(1+v)up~down<<g'bonnetEt:='ndu(i-')whichgives,D=1.45410andG~I.I31~10Iba.bbabGeomet/yFactors,C2.'=-I--I+2In-C3'.=--+Ih-+--I4ab4.aabaIb2C8.=-1+v+(I-v)2ab1+va1-vb2C9'.=--In-+-I--a2b4awhichgives,C2=0.028C8=0.847C3~0.002C9=0.198COMEDPLEvaluationPRHS4CA.MCDValveID:2RHS'MOV4Cpage1

NiagaraMohawkPowerCorporationNuclearfngineeringOriginator/DateWw~g~N.8~WiP/P'PNMP2CalculationCont.SheetChecker/Dater/r7Pagegkfl~7A10.1-AD403,Relr.01AdditionalGeometryFactors,rp'.=b2422fpfp.fpfpLII=-I+4--5--4-2+-~In-64aaaarpIL17.--44I-Y00I--I-4aa2~I+(I+Y)In-arpwhichgives,LII=1.45310andMomentFactors,2DpavgaC9I22h(a-f0)-LI7C82abL17=0.027avg222bwhichgives,Mrb-3.11210andQb8.32510DeflectionfrompressureIbending,aaavga34yb.'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb~%.003qDeflectionfrompressureIshear,2arprpK~'=-0.321n--I+-~I-21n-bab2KsaDP'avgaysq'=whichgives,Ksa~%.041andy=-8.28610sqDefleiWonfrompressureIhubstretch,Pforcett'(abjDPavgPforce'Lystrctch-ttb2Ewhichgives,Pfo~-1.17710'ndy~etch=1573'10COMEDPLEvaluationPRHS4CA.MCDValveID:2RHSMOV4Cpage2 >Eg~ NiagaraMohawkPowerCorporationNuclearEngineeringOnginatorloatewt"~Qgp$pNMP2CalculationCont.SheetChecker/DatePsge4<ot/3>A10.1.AD403,Rev.01TotalDeflectionduetopressure,yq'bq+ysq+ystretchAdditionalGeometryFactorswhichgives,ro.'=ay=%.004qroL3'=-4a22roaro+IIn-+--IaroaroL9'.=-ar)-ln-+-I-2ro4awhichgives,L30andDeflectionfromseatload/bending,w:=IaswC2ro'Cgro'C3ybw.-L9--+L3whichgives,DC8bbybw-1.088'10Deflectionfromseatload/sheer,roroKsa:=-1.2-In-abaysw:=KsR-tGwhichgives,Ksa=%.345ysw=-2.42310Deflectionfromseatload/hubcompression,L,-2tta2compr2'ttbwhichgives,~9ycomprTotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw=-1.33210Equilibnumcontactloaddistribution,wequilibrium'yqwhichgives,wequilibrium=2.71510ywLoadperseat=2tta-5.11810yq4ywPressureLocMngForce,COMEDPLEvaluationPRHS4CA.MCDValveID:2RHS'MOV4Cpage3

NiagaraMohawkPowerCorporationNuclearEngineering/PD$lp7NMP2CalculationCont.SheetChecker/DatePage+of/+fA10.1-AtM03.Rev.OtYq~~-~4Fpres]ock.=2tta-(ltcos(t))-sin(0))2whichgives,Fpres]oc]=4.635]0YwPistonEffectForce,Pat:=0pistoneg'act'='tem'(honnetaun)"'o"tg"pistonstreet"ReversePistonEffect"Force,.I2Poets's'a'(g'PhennetPupPttosan)j'stn(g)TotalForceReuiredtoOvercomePressureLockinwhichgives,Fycrt328510Ftpta]:=Fpres]ock+Fpp+Fycrt-Fpistoncffcctwhichgives,F<<~=6.58922710ACTUATORCAPABILITY'ctuatorModelISIze:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor:ThrustCapability:TQoutTHcap:=-SfTQout:=TQmRVOGR.AfEff=SB-OOS.15TQm:=14.18OGR:=36.2Af:=0.9Eff:=0.45RV:=0.8727TQout~158.332Sf:=0.018919,THcap8.369~]0ft-1bsft-lbsIbs.NOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KE]:=1.20ThrustMargin:=THcap-(F>ogKE1)ThrustMargin=-7.07'101bsConclusion:OpenThrustMarginlsnegative,thereforethisvalveandactuatorareunlikelytoovercomethetheoreticalpressurelockingunderconditionsevaluated.COMEDPLEvaluationPRHS4CA.MCDValveID:2RHS'MOV4Cpage4

NiagaraMohawkPrrrrerCorPorationNuclearEngineeringOriginatorloategaw~'$r/a3/6NMP2CalculationCont.SheetPagejabot/Q7A10.1-AD403,Rev.01ValveIDno:2SWPMOV17AReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:DesignBasisConditionsattimeofPressureLockingEvent:ValveDiskGeometry:hubradius,b:=4.94meanseatradius,a:=5.75averagediskthickness,t:=0.789seatangle,a,'=70:=--0-0.061att21800ishalfdiskangleahublength,L:=0.125ValveDiskMaterialProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v.--0.3Upstreampressure(psig),P>>.=123ValveBonnetpressure(psig),Pbonn<<=86Downstreampressure(psig),Pdown0OtherValveParameters:ValveStemDiameter,D~.=2ValveFactorVF:=0.6StaticUnseatingThrust,Fpo6219(reference:Test¹25,3ttM5)(reference:NER-2M-010)CALCULATIONS:Coefficientoffnctionbetweendiskandseat,tt:=cos(0)--sin(0)tt=0.622(reference¹6)AverageDPAcrossDisk,DiskStifl'nesConstants,gives,DPav245andG=E2(1+v)up+downDPavg.'=Pbonnet2Et3u(i-')whichgives,D1.32210andG1.131~10GeometryFactors,C2.'=-1--1+2ln-C3.'=--+11n-+--11bC8.--1+v+(1-v)2abI+va1-vb2C9.---ln-+-1--a2b4awhichgives,C20.009C8~0.908C3=4.316'10C9~0.124COMEDPLEvaluationPSWP17AA.MCDValveID:2SWP'MOV17Apage1 .~ NiagaraMohawkPowerCorporationNuctearEngineeringOriginator/DateWoevppw4Cwpcfg3/9)NMP2CalculationCont.SheetChecker/Datez/z/H7Page5lofr3arA10.1-AD403.Rev.01AdditionalGeometryFactors,rp'.=bIll'4242fpfpfpI+4--5--4aaa2rpa2+-In-arpIL17'=-.442I-U00aI--I----~I+(I+Y)In-4aarpwhichgives,L11=1.545'10andMomentFactors,L17=0.009Mg:=-2DPavgaC9~-a-rp-L17C82abavg2bwhichgives,Mrb-8.73endQb=21.472Deflectionfrompressure%ending,4aaavgayb'.=Mrb-C2+Qb-C3-.LIIDODwhichgives,yb~-1.041~10qDeflectionfrompressure/sheer,2arprpK~:=-0.32In--I+-~I-2In-bab2I'vgaysq'=whichgives,Ksa%.013andy'sq=-1.13810Deflectionfrompressure/hubstretch,Pra~.--a(a-b)DPaa<Pforce'Lystretch'=ttb2Ewhichgives,Pfp~666.467andy~~-1.84810COMEDPLEvaluationPSWP17AA.MCDValveID:2SWPMOV17Apage2 II NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/DateZ~~pS.e~~/islspNMP2CalculationCont.SheetChecker/Date~/zr~Page5'Zofr%TA10.1-AtM03,Rev.OtTotalDeflectionduetopressure,AdditionalGeometryFactorsyq'bq+ysq+ystretchwhichgives,yq219710ro.'=aroL3'.=-4a22roaro+IIn-+--IaroaroL9--a2I+vaI-vro-ln-+-I-2ro4awhichgives,L3=0andL9=0Deflectionfromseatload/bending,w:=IawC2ro'C9fo'C3ybw'=-----L9--+L3whichgives,DC8bbybI437'10"7Deflectionfromseatloadlshear,roroKsa:=-1.2-ln-abay~:=Ksa-tGwhichgives,Ksa~%.182y=-1.17410Deflectionfromseatload!hubcompression,-2'lray'compf'ibL2whichgives,ycomprTotalDeflectionf/omunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw~2621'10Equilibnumcontactloaddistribution,yqwequilibrium'wwhichgives,Loadperseat~2tta-302.831yqywequilibriumPressureLockingForce,COMEDPLEvaluationPSWP17AA.MCDValveID:2SWPMOV17Apage3

NiagaraMohawkPowerCorporationNuclearEngineering~sQflglnatof/Date,.A.~in/~ff/P7NMP2CalculationCont.SheetChecker/Dategtgrstg+Page5$of/37A10.1-ADO03,Rey.01YqFpreslook2sa-(pcos(8)-sin(8))2whichgives,Fpreslook338833/wPistonEffectForce,Pau:=02"pistoncffect'stem'(bonnetatm)""tp"'istoneffect"ReversePistonEh'ect"Force,Fv~',=rta2Pbonnetupdownsin(8)whichgives,Fert=310.711TotalForceReuiredtoOvercomePressureLockinsFtotal:=Fpreslook+Fpo+Fvert-Fptstoneffecwhichgives,F>ud~6.59836710ACTUATORCAPABILITY:ActuatorModel/Size:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:'temFactor:ThrustCapability:TQoutIHcap:=-SfTQout:=TQmRVOGRAfEff=SMB-0-25TQm:=23.52OGR;=39.11Af:=0.9Eff:=0.4RV:=0.8785TQout=255.571Sf:=0.019627THcap~1.302'10tt-lbsft-lbs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20ThrustMargin:=THcap-(FmmtKEI)ThrustMargin=5.103'101bsConclusion:OpenThrustMarginlspositive,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPSWP17AA.MCDValveID:2SWP'MOV17Apage4 0 NiagaraMohawkPovverCorporationNuclearEngineertngNMP2CalculationCont.SheetChecker/Date7/Z/gpPage'574/97A10.1AD403.Rev.01ValveIDno:2SWPMOV17BIReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:ValveDiskGeometry:hubradius,b:=4.94rmeanseatradius,a'.=5.75averagediskthickness,t:=0.789seatangle,a:=7e:=-'"e=o.o612180.eishalfdiskangleuhublength,L:=0.125ValveDiskMaterfalProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),P:=123ValveBonnetpressure(psig),Pbonnet'=86Downstreampressure(psig),Pdoggy0OtherValveParameters:ValveStemDiameter,"D<<~.=2ValveFactorVF:=0.6StaticUnseatingThrustFpo5862(reference:Test¹6,8/2M4)(reference:NER-2M-010)CALCULATIONS:CoeNicientoffrictionbetweendiskandseat,p.'=cos(e)I--sin(e)VFIt0.622(reference¹6)AverageDPAcrossDisk,DiskSNfnesConstants,Pup+Pdownavg'onnet2gives,DPav<24.53D:=andG:=i2.(1-')2(1+v)whichgives,D1.32210andG=1.131~10Iba.bbabGeometryFactors,C2'.=-I--~1+2.ln-C3.=--+IIn-+--I4ab4aabaIbC8.--I+v+(I-v)2aC9---In-+-I--whichgives,C20.009C8>0.908C3=4.316'10C9=0.124COMEDPLEvaluationPSWP17BA.MCDValveID:2SWPMOV17Bpage1 e NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/DateW~~crP-Q~~gybeNMP2CalculationCont.SheetChecker/Date~7/i/F7A10.1AD403,Rev.01AdditionalGeometryFactors,rp=bI64242000I+4--5--4aaa2rpa2+-In-arpIL17442I-U00aI--I----I+(I+Y)In-4aarpwhichgives,LII=1.54510andMomentFactors,2avg'a9/2p-rpC82abL17=0.009DPavg~b=-(-Oj2bwhichgives,Mrb-8.73andQb21.472Deflectionfrompressure/bending,a2a3DPavg'ayb'.=Mrb-C2+Qb'C3-LIIDDDwhichgives,yb-1.04110Deflectionfrompressure/shear,2arprpK~:=-0.321n--I+-I-21n-babJysq:=.2m.DavgatGwhichgives,Ksa~%.013andy'-1.138'10sq0Deflectionfrompressure/hubstretch,:='(a'-b')DP,,-Pforca.Lystretch.ttb2Ewhichgives,Pf0~0=666.467andysearch84810COMEDPLEvaluationPSWP17BA.MCDValveID:2SWP'MOV17Bpage2 'C NiagaraMohawkPowerCorgorationNuciearEngineeringOriginatorlOateW~~~>4.C'mg+~skyNMP2CalcuhrtionCon!.SheetPage5cof/99A10.1-AD403,Rev.01TotalDeflectionduetopressure,AddNonalGeometryFactorsyq:=ybq<<ysq+ystretchwhichgivesryq219710r'.=aroL3--.4a2roa+IIn-+aro2r0-IaroL9=-ar2I+vaI-v0-In-+-I-2ro4awhichgives,L3=0andL9~0~Deflectionfromseatload/bending,w:=I~.awC2roC9rpC3ybw',=L9'-+L3whichgives,DC8bbybI437'10Deflectionfromseatloadlshear,roroKsa:=-1.2-In-abay~:=Ksa'-tGwhichgives,Ksa=-0.182ysw=-1.174'10Deflectionfromseatload/hubcompression,-2'ttaycompr'.bL2whichgives,yp-1.002'10TotalDeflectiofromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw2621'10Equilibriumcontactloaddistribution,yqequilibrium'hichgives,ywLoadperseat=2tta-=302.831yqywequilibriumPressureLockingForce,COMEDPLEvaluationPSWP17BA.MCDValveID:2SWPMOV17Bpage3 e NiagaraMohawkPowerCo/PorationNuclearEngineeringOriginator/DateThorn.ep-.At+/FlzglppNMP2CalculationCont.SheetChecker/Date~rs-rrÃ7Page&ot/77A10.1-AD403.Rev.01Fpresloclt2aa-(pcos(0)-sin(0))2whichgives,Fpresloci'338.833Vq/wPistonEffectForce,Pat:=0pistonstreet'=O'tem'<bonnetpatm)whichgives,Fistoneffect270.177"ReversePistonEffect"Force,Fvert"'aPbonnetPupPdownTotalForceReuiredtoOvercomePressureLockinwhichgives,F~=310.711Ftotal:=Fprestock+Fpo+F1/ert-Fpistoneffectwhichgives,F<<<=6.24136710ACTUATORCAPABlLITYtActuatorModel/Size:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:TQout:=TQmRVOGR.AfEffStemFactor.TQoutThrustCapability:THcap'.=Sftt-'bstt-lbs=SMB-0-25TQm:=23.52OGR:=39.11Af:=0.9Eff:-"0.4RV:=0.8834TQout=258.43Sf:=0.019627THcap=1.317'10lbsNOTE:RVlSSQUARE/FACTUATORlSAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20ThrustMargin:=THeap-(FtongKBI)ThustMargin~5.677101bsConclusion:OpenThrustMarginlspositive,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelocklngconditionsevaluated.COMEDPLEvaluationPSWP17BA.MCDValveID:2SWP'MOV17Bpage4

NiagaraMohawkPowerCorporationNuciearEngineeringOriginator/Oate'uowpro/I~Q0(p3/vNMP2CalcutationCont.SheetCheckedoate~e/z/r7Page5$br/%TAt0,1-AD403.Rev.OtValvelDno:2SWPMOV18AReuired0eninForceDefernminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:ValveDiskGeometry:hubradius,b:=4.94meansestrsdius,a:=5.75averagediskthickness,t:=0.789seatangle,a.'=70:=--0=0.06121800ishstfdisksngleahublength,L:=0.125Valve'iskMatertalProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pp.--108ValveBonnetpressure(psig),Pbonnet=125Downstreampressure(psig),Pdo~.=0OtherValveParameters:ValveStemDiameter,Dat~.--2ValveFactorVF:=0.6StaticUnseatingThrustFpo8635(reference:Test¹8,3/17>95)(reference:NER-2M-010)CALCULATIONS:Coefticientoffnctionbetweendiskandseat,~<0)--sm(0)IVFit=0.622(reference¹6)AverageDPAcrossDisk,DiskSfiffnesConstants,gives,DPav<~71andG:=E2(I+v)up+downDPavg'=Pbonnet"2Etiz(i-v')whichgives,D~1.32210andG~1.131~102GeometryFsctors,C2.'=-I--I+21n-C3.=--+IIn-IbC8'=-I+v+(I-v)-2abI+vaI-vbC9---In-+-I--a2b4awhichgives,C20.009C8=0.908C3~4.31610C9=0.124COMEDPLEvaluationPSWP18AA.MCDValveID:2SWP'MOV18Apage1

NiagaraMohawkPowerCorporationNuclearEngineeringOrit/lnatorloateWc~~pt,N.desycP~/pgNMP2CalculationCont.SheetChecker/Dater/s/f7Peg<~ref/V7A10.1&D003,Rw.01AdditionalGeomehyFactors,rp.'=b2422fprprprpL11.'=-1+4.--5--4-2+-~In-64aaaarp42rorpaL17.=-I--I----.1~(1+v)In-44aarpwhichgives,LII=1.54510andMomentFactors,L17~0.009Mg:=-2DPavgaC9--(a-ro)-LlqCS2abDPavgo:=-(-")2bwhichgives,Mrb=-25.298andQb~62.225Deflectionfiompressure/bending,a2a3DPavgayb'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb3.016.10qDeflectionfiompressure/shear,2arprpK~:=-0.321n--I+-~1-21n-bab2avg'owhichgives,Ksa=%.013andy'-3.297'10sqtDeflectionfrompressure/hubstretch,Pf.'=ll(a-b)DPvgPforceLystretchttb2Ewhichgives,Pf0~~1.93110andy~<h-5.35510COMEDPLEvaluationPSWP18AA.MCDValveID:2SWPMOV18A'age2

NiagaraMohawkPowerCorporationNuclearEngineeringCSginatorlDateQ~~apy4e@ADk-/g3/pyNMP2CalculationCont.SheetCheckerloater/rr'6Pag~W7A10.1-AD403,Rev.OtTotalDeflectionduetopressure,AdditionalGeometryFactorsyq'bq+ysq+ystretchwhichgives,yqH.36710ro:=aroL3--4a22roaro+IIn-+--IaroaroL9--a2I+vaI-vro-In-+-I--2ro4awhichgives,L30andL9=0,Deflectionfromseatloadlbending,w.'=IaswC2roC9roC3ybw'-L9--+L3whichgives,DC8bbyb-I437'10Deflectionfromseatloadlshear,roroKsa'.=-1.2-In-'bay~:=Ksa'Gwhichgives,Ksa~-0.182y<-I;17410Deflectionfromseatload/hubcompression,L2'll'a2ycompr'Ettbwhichgives,ycomprTotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw=-2.621~10Equilibriumcontactloaddistnbution,weqtniib.tm,.=-whichgives,yqwLoadperseat-"2tta-877.591yqywweqttitibritm=24.291PressureLockingForce,,COMEDPLEvaluationPSWP'I8AA.MCDValveID2SWPMOV18Apage3

NiagaraMohawkPowerCorporationNuclearEngineeringOriginatorloatem--;-A+lsPg/~pNMP2CalculationCont.SheetChecker/Date/isr<<.Paged/of/7A10.1-AtHSS,Rev.01Fpresiocle:=2rta-"(ttcos(0)-sin(6))2whichgives,Fpresloci=981.925YqWPistonEffectForce,Pat:=0ft"pistonstreet,a'Dstem'(phonnetpeon)whichgives,Fpistoneffect"ReversePistonEffect"Force,Fvert'.=fta~2Pbonnetup-Pdo1tfnsin(e)TotalForceReuiredtoOvercomePressureLockinwhichgives,Fy~900428total'reslock+po+vertpistoneffectwhichgives,F<<~1.01246510'CTUATORCAPABILITY:ActuatorModel/SIze:MotorTorqueOutput:GearRatio:ApplicationFactor.PulloutENciency:ReducedVoltage:TorqueOutput:TQout:=TQmRVOGRAfEffStemFactor.ThrustCapability:,THcap.'=-ToutSf=SMB-0-25TQm.'=23.21OGR:=39.11Af:=0.9Eff:=0.4RV'-=0.8789TQout=252.432,Sf:=0.019627THcap=128610ft-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20ThrustMargin:=THoap-(Fto%KEI)ThrustMargin711.881IbsslConclusion:OpenThrustMarginlspositive,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPl.EvaluationPSWP18AA.MCDValveID:2SWP'MOV18Apage4

NiagaraMohawkPowerCorporattonNuclearEngineertngOriginato/Date,-.w.e;-E~/~NMP2CalculationCont.SheetChecker/Dategledf>/i/~7PapescutIPTA10.1-AD403,Rev.01ValveIDno:2SWP'MOV18BReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pp,=108ValveBonnetpressure(psig),Pbonnet.--125Downstreampressure(psig),Pdown0ValveDiskGeometry:hubradius,b:=4.94meanseatradius,a:=5.75averagediskthickness,t:=0.789hublength,L:=0.125seatangle,a:=71:=--"e0.061att2180ValveDiskMaterialProperties:0ishalfdisk'angleamodulusofelasticity,E:=29400000OtherValveParameters:ValveStemDiameter,D<~.--2ValveFactorVF:=0.6Poisson'sRatio,v.=0.3StaticUnseatingThrust,Fpo2129(reference:Test¹11.SS96)(reference:NER-2M-010)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,p:=cos(e)-'-s~(e)p0.622(reference¹6)AverageDPAcrossDisk,DiskSINnesConstants,gives,DP=71BedG:=-E2(1+v)up+downavg'onnet2Etn(1-')whichgives,D=1.32210andG=1.131~101ba.bbabGeometryFactors,C2.=-1--1+21n-C3'.=--+1ht-+--14,ab4aaba1b2C8=-1+v+(1-v)2ab1+va1-vb2C9---ln-+-1--a2b4awhichgives,C2=0.009C80.908C3=4.316'10C9~0.124COMEDPLEvaluationPSWP18BA.MCDValveID:2SWP'MOV18Bpage1 r7ifIII NiagaraMohawkPowerCorporationNuctearEngineeringOriginator/DateQ~~~o4-C~&2j/57NMP2CalculationCont.SheetChecker/Oate~~/./~rPagw'o//37A10.1-AD403,RW,01AdditionalGeometry'Factors,rp.'=bI64242rpfpfpI+4--5--4aaa2rpa2+-In-arpIL174421-Y'0aI--I----I+(I+Y)In-4aarpwhichgives,MomentFactors,L11=1.54510,andL17=0.009Mrb'DPavgaCgC9~a-rp-L172abQb'a-r0j2bwhichgives,M+--25.298andQb-62.225Deflect/onfrompressure/t/ending,aaavga34yb.'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb=-3.01610qDeflectionfiompressure/shear,2arprpK~:=-0.32In--I+-I-2In-bab2sa'vgaysq'hichgives,Ksa~.013andy"~-3.29710ssqDeflectionfrompressure/hubstretch,Pftt(ab)DPgPforce'Lystretch'b2Ewhichgives,force'y~<<h-5355'10COMEDPLEvaluationPSWP18BA,MCDValveID:2SWPMOV18Bpage2~i

NiagaraMohawkPowerCorporationNuctearEngineeringOriginator/DateR~pjuWP~~~fg+g7NMP2CalculationContSheetChecker/Date~~/slurPager"trot/77A10.1-AD403,Rev.01TotalDeflectionduetopressure,AdditionalGeometry'Factorsyq'bq+ysq+ystretchwhichgives,yq=%.367.10ro'.=aroL3'.=-4a22roaro1-1~In-+--IararoL9.=-ar2I+vaI-vo-In-+-I-2ro4awhichgives,'"L3~0and'L9~0Deflectionfromseatload/bending,w:=IC2roC9.roC3ybw..=-----L9--+L3whichgives,DC8bbyb143710'rDeflectionfromseatload/sheer,roroKsa:=-1.2-In-aby.'=Ksa-whichgives,sw'GKsa~%.182y~-1.17410Deflectionfromseatload/hubcompression,-2ttaycompr'itbL2whichgives,ycompr~I'00210TotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw-2.621~10Equilibriumcontactloaddistributr'on,weqmlibri~'hichgives,yqywLoadperseat=2tt.a-877.591yqywwequilibrium=24.291PressureLocMngForce,COMEDPLEvaluationPSWP18BA.MCDValveID:2SWP'MOV18Bpage3 f' NiagaraMohawkPowerCorporaaonNuotearEngineeringNMP2CatoulationCont.SheetCheckerlDate~io.rrrWPageirSot/3~A10.1-AD403,Rev.01Flock:=2tta-(pcos(0)-sin(0))2whichgives,Fpreslock981925Yqpres1WPistonEffectForce,.Pau:=0"pistonstreet'=S'Dstem'(pbonnetpstm)whichgivessFlstonoff~e392.699"ReversePistonEffect"Force,Fvert'=rta2PbonnetupdownTotalForceReuiredtoOvercomePressureLockinwhichgives,F~=900.428Ftotal'preslock+Fpo+FveftFpistwhichgives,'<<~=3.61865410'ACTUATORCAPABILITY:ActuatorModel/Size:MotorTorqueOutput:GearRatio:ApplicationFactor.PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:TQout:=TgRVOGRAfarTQoutTHcap.'=-Sf=SMB-0-25TQm:=23.52OGR:=39.11Af:=0.9Eff:=0.4RV:=0.8852TQout=259.484St:=0.019627THcap~1.32210ft-Ibstt-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNGMETHODOLOGY:KEI:=1.20ThrustMsrtpn:=THeep-(FmmtKEI)ThrustMargin~8.878'10lbsIConclusion:OpenThrustMarginispositive,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPSWP18BA.MCDValveID:2SWP'MOV18Bpage4 0 NiagaraMohawkPowerCorporationNuctearEngineeringOriginator/DateQ~/~3bpNMP2CalcutationCont.SheetChecker/Date~vrzjt7PageC4or~7A10.1.AD403,RW.01ValveIDno:2SWP'MOV2tAReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:ValveDiskGeometry:hubradius,b:=0.875meanseatradius,a.=1.47averagediskthickness,t:=0.54.attseatangle,a.=10e:=--e=0.08721800ishalfdiskangleuhublength,L:=0.25ValveDIskMaterfaiProperties:modulusofelasticity,E;=29400000Poisson'sRatio,v.=0.3OtherValveParameters:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pnp108ValveBonnetpressure(psig),Pbonnet.=2314Downstreampressure(psig),Pd~.=0ValveFactorVF:=IValveStemDiameter,D<.=1.125StaticUnseatingThrust,Fo:=1890(reference:Test¹7,3/30/93)(reference.'ER-2M-010)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,cope)-'-s~(e)It=1.091(reference¹6)AverageDPAcrossDisk,DiskSNfnesConstants,up+down3avgbonnet2gives,DPavg22610D:=andG:=EtEiz(i-')2(I+v)whichgives,D~4.23910andG~1.131~10IbaaGeometryFactors,C2.=-I--I+21n-C3'.=--+IIn-+--I4ab4aabaIb2C8'.=-1+v+(I-v)2aC9.=--In-+-I-whichgives,C2=0.07C80774C3=0.008C9~0.268COMEDPLEvaluationPSWP21AA.MCDValveID:2SWPMOV21Apage1

NiagaraMohawkPowerCorPorationNuctearEngineeringOriginator/Dateso~.oy~4Q~PZ)$gNMP2CatcutationCont.SheetChecker/DatePageC'Pot/77A10.1-AD403,Rw.01AdditionalGeometryFactors,rp.'=bI642422rprprpfp1+4--5--4-2+-~In-aaaarpIL17442rprpaI--I----I+(I+v)In-4aarpwhichgives,L11=9.14910andMomentFactors,2DpavgC9M~'=---(a-ro)-LrrC82abL17~0.063~b:=-'"'(*-0')2bwh/chg/ves,Mrb=-516.898andQb1.80210'eflectionf/QmpressureIbending,2yb.=Mrb-C2+Qb-C3-.L11ODDwhichgives,y~%.15810bqDeflectionfrompressureIshear,2rprpK~:=-0.32In--I+-~I-2In-bab2saavgatGwhichgives,Ksa=%.118a/ldy'sq=%.403'10Deflectionfrompressure/hubstretch,P,:=a(a'-b')DP,,Pforce'Lystretchttb2Ewhichgives,Pforce990618andystretch=-1.751.10COMEDPLEvaluationPSWP21AA.MCDValveID:2SWP'MOV21Apage2

NiagaraMohawkPowerCorporationNuclearEngineering4Originator/DateRowi>pc,A.Q~QZy/ppNMP2CalculationCont.SheetChecker/Date~/i/~rPagerr1/o/~7>A10.1.AMX},Rw.01TotalDeflectionduetopressure,yq'bq~ysq+y.trctchwhichgives,y=-2.031~10AdditionalGeometryFactorsro:=aroL3'=-4a22roaro+11n-+--1aroaroL9.=-a21+va1-vro-1n-+-1-2ro4awhichgives,L3=0IIandL9=0Detlectionfromseatload/bending,w:=1~awC2roC9roC3ybw.-L9--+L3whichgives,DC8bbybw64'Deflectionfromseatload/shear,roroKsa:=-1.2-1n-aby:=Ksa-whichgives,KsaW.623sw'~~-1:499'10Deflectionfromseatload/hubcompression,-2ttaycompr'bL2whichgives,y~-1.63310TotalDeflectionfromunitseatload,yw:=ybw+yswaycomprwhichgives,yw3.62610Equilibriumcontactloaddistribution,w~b-~.=-whichgives,yqywLoadperseatr2tta-5.17510yqywwcquiTibrium5%'241PressureLockingForce,COMEDPLEvaluationPSWP21AAMGDValveID:2SWP'MOV21Apage3

NiagaraMohawkPowerCorporationNuctearEngineeringOriginator/Date,>;A'.aPdislp~NMP2CatcutationCont.SheetChecker/DatePio.ridPage//ofI$1A10.1-AD403.Rev.01Yq4Fpres]ocp2fta-"(pcos(0)-sin(0))2whichgives,Fpresloc'k=1.03510WPistonEffectForce,Pat:=0ft"pistonetr(mt'stem'ibonnetpetm)whichgivesrFpistoncff~t"ReversePistonEffect"Force,v~:="Pbonnct-up-so~'m<<)TotalForceReuiredtoOvercomePressureLockinwhichgives,Fcrt=2.67410Ftotal.'=Fprcslock+Fpo+'FvertFpistoncffcctwhichgives,'<<~=1.26132810ACTUATORCAPABILITY:ActuatorMode!ISize:MotorTorqueOutput:GearRatio:ApplicationFactor.PulloutEfficiency:ReducedVoltage:TorqueOutput:TQout:=TQmRVOGRAfEffStemFactor..TQutThrustCapability:fHcap:=-ToutSf=SMB-000-5TQm.'=4.76OGR:=52Af:=0.9Eff:=0.4RV:=0.8623TQout~66.257Sf:=0.014500THcap~4.56910ft-1bsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20'ibrnstMer(pn:=THeep-(FmmrKH1)ThrustMargin~-1.057101bsConclusion:OpenThrustMarginIsnegative,thereforethisvalveandactuatorareunlikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPSWP21AA.MCDValveID:2SWP'MOV21Apage4

NIagaraMohawkPowerCorPorationNuctearEngineeringOriginator/Date~enie3wA.ge'/e3legNMP2CalcutationContSheetChecker/DateekePage7uor/97A10.1-AD403,RW.01ValveIDno:2SWPMOV21BReuired0eninForceDefernminafionunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:ValveDiskGeometry:hubradius,b:=0.875meanseatradius,a:=1.47averagediskthickness,t:=0.54seatangle,a.=100:=--00.087att21800ishalfdiskangleahublength,L:=0.25ValveDiskMaterialPropertiesmodulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3OtherValveParameters:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),P:=108ValveBonnetpressure(psig),Pbo<<.=2314Downstreampressure(psig),Pdo~0ValveFactorVF:=1ValveStemDiameter,D<~.=1.125StaticUnseatingThrust,Fpo1245(reference:Test¹12,1295)(reference:NER-2M-010)CALCULA77ONS:Coefficientoffrictionbetweendiskandseat,cos(0)-sin(0)it=1.091(reference¹6)AverageDPAcrossDisk,DiskSNI'nesConstants,gives,DPa2.2610EG:=-2(1+v)P~+Pdo~Davg"bonnet2Et3D:=endwhichgives,D4.23910andG=1.131~101babb2ab2GeometryFactors,C2.=-1--1+21n-C3.=--+1ln-+--14ab4aaba1b2C8'=-1+v+(1-,v)-2ab1+va1-vb2C9.'=--ln-+-.1--a2b4awhichgives,C2=0.07C8~0.774C3~0.008C9=0.268COMEDPLEvaluationPSWP21BA.MCDValveID:2SWP'MOV21Bpage1

NiagaraMohawkPowerCorPorationNuclearEngineeringoriginator/DateNMP2CalculationCont.SheetChecker/DatePagey/of/37At0.t-AD403,Rev.01AdditionalGeometryFactors,rp'.=b164242rprprp1+4--5--4aaa2rpa2+-ln-arp1L174421-Y00aI--1----I+(1+Y)ift-4aarpwhichgives,MomentFactors,2DPaygaC&L11=9.14910and9~a-rp-L172abL17~0.063ob:=-'"'('-0')2bwhichgives,Mrb-516.898andQb~1.802'lpWDeflectionfrompressure&ending,aDPaygayb'Žrb'2+Qb'3'looowhichgives,y~%.15&10bqDeflectionfrompressure/shear,2'rp'pK~:=-0.321n--1+-~1-21n-abI2s'a'vgaysq'=whichgives,Ksa~.l1&andy'.40310sqDeflectionfrompressure/hubstretch,Pforcett(ab)DPaygPforceLystretch'=itb2Ewhichgives,Pf0~=9.906.10andy~~-1.751~10COMEDPLEvaluationPS.WP21BA.MCDValveID:2SWP'MOV218page2 0 NiagaraMohawkPowerCorgorationNuotearEngineeringOriginator/Date>c~p-8'~Wzp/ppNMP2CatcutationCont.SheetCheckerloatePage72bi/77A10.1-AD403,Rev.01TotalDeflectionduetopressure,AdditionalGeometry'actorsyq'=ybq+ysq+ystretchwhichgives,yq203110ro.'=aroL3'=-4a22roaro+IIn-+--IaroaroL9"=-a2I+vaI-vro-ln-+-I-2ro4awhichgives,L3~0andL9~0Deflectionfromseatload/bending,w:=I~.a3wC2roC9roC3ybw.-L9--+L3whichgives,DC8bbyb=-1.964107Deflectionfromseatload/shear,roroKsa:=-1.2-In-aby:=Ksa-whichgives,sw'sa~W.623ysw~-1.49910Deflectionfromseatload/hubcompression,-2'1t'aycompr'tbL2whichgives,y~-1.63310TotalDeflectionfromunitseatload,yw:=ybw+'yswaycomprwhichgives,yw~-3.626'10Equilibnumcontactloaddistribution,equilibrium'whichgives,yqywLoadperseat=2tta-~5.17510yqywwequilibrium560'241PressureLockingForce,COMEDPLEvaluationPSWP21BA.MCDValveID:2SWP'MOV21Bpage3 I NiagaraMohawkPowerCorporationNuotearEnt/ineerinyOnglnatof/DatewowropA'/r(gSrp7NMP2CatoutattonCont.SheetChecker/Date~rertr+pPa//el&o/I>>A10.1-AD403,Rev.01Fpresloca'=2tta-(Pcos(e)-sin(e))2Jtl>wwhichgives,F,1~1,1.03510PistonEffectForce,Pat:=0Ppistonetreet'='tern'(PttonnetPann)whichgives,Ppistonstreetpton4"ReversePistonEffect"Force,vertonnetupdownTotalForceReuiredtoOvercomePressureLockinwhichgives,F~2.67410Ftotai:=Fpresloca+Fpo+Fvert-Fpistoneffectwhichgives,F<<nd=1.19682810'CTUATORCAPABILITY:ActuatorModel/Size:MotorTorqueOutput:GearRatio:ApplicationFactor.PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor:ThrustCapability:TQoutTHcap:=-SfTQout:=TQmRVOGRAfEff=SMB-000.5TQm;=4.76OGR:=52Af:=0.9Eff:=0.4RV:=0.8591TQout=65.766Sf:=0.014500THcap=4.5361(Pft-1bsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:"-1.20ThntatMargin:=THcap-(FtongKEi)ThrustMargin~%.826'101bsConclusion:OpenThrustMarginIsnegative,thereforethisvalveandactuatorareunlikelytooVercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPSWP21BA.MCDValveID:2SWPMOV21Bpage4

NiagaraMohawkPowerCorporatkeNuciearEnginoerinpOrlglnatof/DataQonvrp>Atots/splngNMP2CalcukrtionCont.SheetCheckerlDate.~re/r7Page7rtor/ppA10.1-AD403,Rev.01ValveIDno:2SWPMOV66AReuiredOeninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:DesignBasisConditionsattimeofPressureLockingEvent:IUpstreampressure(psig),F:=108ValveBonnetpressure(psig),Pb<=108IDownstreampressure(psig),Fgo~0ValveDiskGeometry:hubradius,b:=3.375hublength,L:=0.125meanseatradius,a:=3.91averagediskthickness,t:=0.48seatangle,a:=10e:=--e0.087att2180ValveDiskMaterialProperties:'odulusofelasticity,E:=29400000OtherValveParameters:Poisson'sRatio,v.'=0.3eishalfdisk'angleaValveFactorVF:=0.65ValveStemDiameter,D~.=1.625StaticUnseatingThrustFpo9232(reference:Test¹25,10/5/94)(reference:NER-2M-010)CALCULA77ONS:Coel'cientoffnctionbetweendiskandseat,It:=I--am(e)VFIt=0.686(reference¹6)gives,DPavg54Fup+FdeAverageDPAcrossDisk,DPavg'DiskEtttthssConstsnts,D:=sndG:=EtEtk(t-s')2(tsv)whichgives,D2.977'10andG=1.131~10GeometryFactors,C2.'=-I--I<<2In-Iba4abIbC8.'=-I+v+(I-v)-2aC3.---+IIn-+--IC9---In-+-I--whichgives,C20.009C8~0.911COMEDPiEvaluationPSWP66AA.MCDC3=3.965'10C9=0.121(o+ValveID:2SWP'MOVS48page1

NiaparaMohawkPowerCorporationNuclearEnpineerinpOripinator/OateQ~~~A'.g~WiplppNMP2CalculationCont.SheetCheckerloatePape75ot/77A10.1AO403.Rw.OtAddih'onelGeometryFactors,rp.'=b2422fpfpfpfpLII=-I+4--5--4-~2+-In-64aaaarpIL17442I-U00aI--I----~I+(I+v)ln-4aarpwhichgives,LII=1.37810andMomentFactors,2avg9/2Mg:=-'o)C82abL17=0.009'"'a'-ra'j2bwhichgives,Mrb-8.373andQb-3118Deflectionfrompressurelbending,aaavga34yb.'=Mrb-C2+Qb-C3-LIIDDDwhichgives,yb-1.93710tIDeflectionfmmpressure/sheer,2arprpK~:=-0.32In--I+-~I-2In-bab2KsaDPav'g'asq'Gwhichgives,Ksa~%.012endy'1.79610sqDeflectionfrompressure/hubstretch,Pf'.=ll(a-b)DPvg-PforceLystretch'=rtb2Ewhichgives,Pf0~661.191IIandy~tch-3.92810COMEDPLEvaluationPSWP66AA.MCDValveID:2SWP'MOV66Apage2

NiagaraMohawkPowerCotporattonNuotearEnttineertnttOrfttlnatorioate>~~~>A'.g~c/gy+)NMP2CatoulationCont.SheetCheckerloate7/i/~yA10.1AD403,Rw.01TotalDeflectionduetopressure,AdditionalGeometryFactorsyq'bq+ysq+ystretchwhichgives,yq~-3.77I'10r0.'=aroL3.'=-.4a22roar0+Iln-+--Iaroar0L9.=-a21+vaI-v0-In-+-I-2ro4awhichgives,L3=0andL9=0Deflectionfromseatload/bending,w:=Ia.wC2roC9roC3ybw.=L9--+L3whichgives,DC8bbybw183510Deflectionfromseatload/shear,roroKsa:=-1.2-ln-abay:=Ksa-tGwhichgives,Ksa=-0.177y=-I27210Deflecflonfromseatload/hubcompression,-2tt'acompr'tbL2whichgives,y-1.45910TotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw3122'10Equilibriumcontactloaddistribution,yqwe~bn~.=-whichgives,wLoadperseat=2aa-296.797yqywequilibrium12'081PressureLDCMngForce,COMEDPLEvaluallonPSWP66AA.MCDValveID:2SWPMOV66Apag83 0 NiagaraMohawkPowerCorporationNuciearEngineeiingOriginator/Datea~"p"4.~4/go/prNMP2CeioiglationCont.SheetChecker/Date~rsr.rr/PageTfo/I+'7A10.1-AD403.Rev.01Fpresleak'tta-"(p;cos(e)-sin(e))2whichgives,Fpreslook=354.165YqVrrPistonEffectForce,Pau'=02/FpistonstreetDstem'(pbonnetpatm)whichgives,Fpistoneff~t=223.986"ReversePistonEffect"Force,F<<.'=ita2PbonnetupgownTotalForceReuiredtoOvercomePressureLockinwhichgives,Fv<<=452.0SSFtotal:=Fpreslook+Fpo+Fv<<-Fpistonwhichgives,F+~=9.814267'10ACTUATORCAPABILITY:ActuatorMode)/Size:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor:ThrustCapability:TQoutTHcap"=-SfTQout:=TQIRVOGRAfEff=SMB-00-15TQrn:=14.74OGR:=34.1Af:=0.9Eff:=0.4RV:=0.8838TQout=141.339Sf:=0.016407THeap=8.615'10ft-lbsft-lbsIbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20ThroatMargin:=THoap-(Fm~Kgi)nThrustMargin-3.163'10lbsConclusion:OpenThrustMarginlsnegative,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.4COMEDPLEvaluationPSWP66AA.MCDValveID:2SWP'MOV66Apage4 ll NiagaraMohawkPowerCorporationNucteafEngineeringOflglnatof/DateA0$gcfsEi)7HMP2CalculationContSheetChecker/Gate~/<CPage7+1/37A10.1.AD403,Rev.01ValveIDno:2SWP'MOV66BReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),P>>.=108ValveBonnetpressure(psig),Pbo~ct-108Downstreampressure(psig),P~o~.=0ValveDiskGeometry:hubradius,b:=3.375hublength,L:=0.125meanseatradius,a'.=3.91averagediskthickness,t:=0.48seatangle,a:=106:=--60.087att2180ValveDiskMaterialProperties:modulusofelasticity,E:=29400000OtherValveParameters:Poisson'sRatio,v.=0.36ishalfdisk'angleuValveStemDiameter,D<~.=1.625StaticUnseatingThrustFpo7027(reference:Test¹16,3N/94)ValveFactorVF:=0.65(reference:NER-2M-010)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,It:=cos(6)I--sitt(6)VFp0.686(reference¹6)Pup+Pdo~A~erageDPAcrossDisk,DPayg:Pboggct-gives,DP=542DiskSNnvesCenslsnls,D:=sndG:=EtE12(!-v)2(!vv)whichgives,D2.97710andG=1.131'10Iba.bbabGeometryFactors,C2.=-I--I+2ln-C'3'.=--+Ih-+--I4ab4aa'aIbC8.'=-I+v+(I-v)2ab1+vaI-vb2C9=--In-+-I--a2b4awhichgives,C20.009C8~0.911C3=3.965'10C9~0.121COMEDPLEvaluationPSWP66BA.MCDValveID:2SWPeMOVSICBpage1 I, NiagaraMohawkPowerCorgorationNuctearEngineeringOriginator/Date~~oPoW<~~M&7NMP2CatcutationCont.SheetChecker/Date~/z/yyPage7?of/77A10.1AD403,Rw.01Add/t/onelGeometryFactors,rp.'=b2422fpfpfpfpL11'=-1+4--5--4-2+-In-64aaaarp42II-Y00aL17'.=-I--1----~I+(I+Y)In-44aarpwhichgives,LII=1.37810andMomentFactors,L17=0.009Mg:=-2OPavg'aC9~-a-rp-L17C82ab~b:=-'"'(*-o*j,2bwhichgives,Mrb=-8.373endQb~31.18Deflectionfrompressureibending,aaavga34yb'.=Mrb-C2+Qb-C3-L11ooowhichgives,yb~1.937.10qDeflectionfrompressureIshear,2arprpK~:=-0.32In--I+-~1-2In-bab2sa'vgaSq'Gwhichgives,Ksa=%.012endy-1.796'10SqDeflectionfrompressure/hubstretch,Pro~.'=m(a-b)DP~<-PronxL>'uetch:=ttb2Ewhichgives,Pfo~=661.191endy~th=-3.928108fCOMEDPLEvaluaIIonPSWP66BA.MCDValveID:2SWPMOV66Bpage2 I NiagaraMohawkPowerCorgorationNudearEngineeringOriginator/Date%~ryan~Ai4&4'fdkpjNMP2CalcuiationCont.SheetChecker/Date~p/z/rzPagetourt/37A10.1-AD403,Rw.01TotalDeflectionduetopressure,yqybq+ysq+ystretchwhichgives,y=-3.771~10AdditionalGeometryFactorsro.'=aroL3.'=-.4a22roaro+IIn-+--IaroaroL9'.=-ar21+vaI-vo-~In-+-I--2ro4awhichgives,L3~0andL9~0Deflectionfromseatload/bending,w:=1awC2roC9roC3ybw'9--+L3DC8bbwhichgives,ybw=-1.83510Deflectionfromseatload/shear,roKsa.'=-1.2-In-aby:=Ksa-whichgives,Ksa%.177tGy~~-I:27210Deflectionfromseatload/hubcompression,-2"tt.aycompr'bL2whichgives,y-1.45910TotalDetlectionfromunitseatloa'd,yw'bw+ysw+ycomprwhichgives,yw312210Equilibriumcontactloaddistribution,we,l;b~.--whichgives,ywLoadperseatr-2tta-296.797yqywequilibriumPressureLockingForce,COMEDPLEvaluationPSWP66BA.MCDValveID:2SWP'MOV668page3

NiagaraMohawkPowerCorporationNuotearEngineeringOnglnstor/Date~~nyuP-<5/g/as/P7NMP2CaCulati'onCont.SheetChecker/Date7Pagej/ot/W7Atp.t-AD403,Rev.01Fpresloci'.'=2tta-(itcos(e)-sin(e))2whichgives,presleakWtPistonEffectForce,Pau:=0"pistonstreettem'ihonestann}whichgives,Fpistoneffect"ReversePistonEIfect"Force,Fyert'=a'2'PbonnetPupdownTotalForceReuiredtoOvercomePressureLockinwhichgives,Fy~=452.088Ftptait=Fpres]pck1Fpp+FyertFpistpneffectwhichgives,Ftp<760926710ACTUATORCAPABILITY'ctuatorModelISize:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:TQoutTHcap:=-SfTQout:=TQmRV.OGRAfEff=SMB-00-15TQm.'=14.74OGR:=34.1Af:=0.9Eff:=0.4RV:-"0.8847TQout=141.627Sf:=0.016407THcap=8.63210tt-lbstt-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCIQNGMETHODOLOGY:KEI:=1.20ThrustMargin:=THoap-(FmmtKEI)ThrustMargin-499.0051bsConclusion:OpenThrustMarginisnegative,thereforethisvalveandactuatorareliketytoovercomethetheoreticalpressurelockingconditionsevaluated.ra/d4clcvat4JY/cl'payeej4vdrymrrvelvlcrgtptgsl1'AdNCisa/rrglkcgpn/icPt~r.ppggpthese'rprlreertrresureroskio1SeeeranroCOMEDPLEvaluationPSWP66BA.MCDValveID:2SWP'MOV66Bpage4

NiagaraMohawkPowerCorporationN)tctearEngtneerfngOrfgtnatorloateg~~A~Q-tt>>/svNMP2calo)stationCont.SheetChecker/Date.Page~/3$A10.1-AD403,Rw.01ValveIDno:2SWP'MOV67AReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pup108ValveBonnetpressure(psig),Pbonnet=108Downstreampressure(pslg),Pdown0ValveDiskGeometry:hubradius,b:=1.25hublength,L:=0.25meanseatradius,a:=1.88averagediskthickness,t:=0.626urtseatangle,a=10e;=--e=0.0872180ValveDiskMaterialPropertiesmodulusofelasticity,E:=29400000OtherValveParameters:Poisson'sRatio,v:=0.3eishalfdisKangleaValveFactorVF:=1ValveStemDiameter,Dst..=1.375StaticUnseatingThrust,F>>.=2534(reference:Tesr¹10.1M')(reference:NER-2M-010)CALCULATIONS:CoeNicientoffrictionbetweendiskandseat,it.=cos(0)-sin(e)lt1.091(reference¹6)up~downAverageDPAcrossDisk,':=Pbgives,DP542DiskSt)I)asConstantsD:=,andG:=-EtE,)s.()-s')2(1+v)whichgives,D6.60510andG=1.131~101babbabGeomet/yFactors,C2.=-1--1+2ln-C3=--+1h-+--14ab4aaba'b2b1+va1-vb2C8:=-1v+C9,---ln-+-~1-2aa2b4awhichgives,C20.049C8=0.805COMEDPLEvaluationPSWP67AA.MCDC3~0.005C9=0.241@7'alveID:2SWPMOVQ48page1

NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/DateQ~rwpoAiQrc44-4rjQ3/pQNMP2CalculationCont.SheetChecker/Date~/4ePag~biyPAto.t-AD403,Rev.01Add/tionalGeometryFactors,rp'=bI64242rprprp1+4.--5--4aaa2rpa2+-1n-arp1L174421-vrpro1--1----~1+(1+4aav)ln-arpwhichgives,MomentFactors,L114.481.10andL17<0.046Mg:=-2avgaC8a-rp-L172&bwhichgives,Mrb-13.186andQb=42.593Deflectionfmmpressure/bend/ng,4&aavg'b'.=Mrb-C2+Qb-C3-L11DDDwhichgives,yb~-1.752'10Deflectionfrompressure/shear,2arprpK~:=-0.32.1n--1+-~1-2ln-bab2sa'vgat.Gwhichgives,Ksa=%.078andy.=-2.0910sqDeflectionfrompressu/8/hubstretch,Pfpreett(ab)DPavgPforceLystretch'=ttb2Ewhichgives,Pfo~334.525andy~~=-2.897'10COMEDPLEvaluationPSWP67AA.MCDValveID:2SWP'MOV67Apage2 I NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/DateQc~r.))~4.C'~/g)(p-gNMP2CalculationCont.SheetCheckerlDatePagePfotr37A10.1-AD403,Rev.01TotalDeflectr'onduetopressure,yq'bq+ysq+ystretchwhichgives,y-4.131~10AdditionalGeometryFactorsro'.=aroL3'=-4a22roaro+IIn-+--IaroaroL9--ar21+vaI-vo-In-+-I-2ro4awhichgives,L3~0endL9=0Deflectionfromseatload/bending,w:=IawC2roC9roC3ybw'-L9--+L3whichgives,DC8bbybwDeflectionfromseatload!shear,roroKsa:=-1.2-In-aby~:=Ksa-whichgives,atGKsa~W.49ysw~-1.301~IODeflectionfmmseatload/hubcompression,.-2ttacompr'tbL2Ewhichgives,ycomprTotalDeflectionfromunitseatload,whichgives,yw~2'868'10yw'=ybw+ysw+ycomprEquilibriumcontactloaddistribution,yqwequilibrium'wLoadperseatra2tta-170.165yqywwhichgives,equilibriumPressureLockingForce,COMEDPLEvaluationPSWP67AA.MCDValveID:2SNIP'MOV67Apage3

NiagaraMohawkPowerCorporationNuclearEngineeringOriginatorlnateA.+/b/nslPPNMP2CatcutationCont.SheetChecker/batePagano//7/}At0.1.AO403.Rev.OtFpresJocktt'a'(tt'cos(e)-sin(e))2Yq1'wPistonEffectForce,Pat:=02/pistoneffecttem'(bonnetetm}whichgives,Fp~s1~k=0.3Iwhichgives,Fpistoneffect'160.368"ReversePistonEffect"Force,Fvert'=rta~2Pbonnetupdownsin(e)whichgives,TotalForceReuiredtoOvercomePressureLockinFv~=104.517Ftotat:=Fprestock+Fpo+Fvert-Fpistoneffectwhichgives,F>~=2.81847810'CTUATORCAPABILITY:ActuatorModel/Size:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:TQoutTHcap:=-SfTQout:=TQmRVOGRAfEff=SMB-000-5TQm'=5OGR:=40Af:=0.9Eff:=0.4RV:=0.8816TQout55.96Sf':=0.014263THcap~3.92310ft-lbsft-Ibs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20nMtp.:=nrpyt.~ffffi}ThrustMargin=541.246IbsConclusion:OpenThrustMarginispositive,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPSWP67AA.MCDValveID:2SWP'MOV67Apage4 0 NiagaraMohawkPowerCorporationNudearEngineeringOriginator/Date>~i.peAQ4,/tr/~7NMP2CalcutationCont.SheetChecker/Date7/</87peg+Carr3'A10.1-AD403.Rw.01ValveIDno:2SWPMOV67BReuiredoeninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS'esignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),P>>.=108ValveBonnetpressure(psig),Pbonnet=108Downstreampressure(psig),Pdown0ValveDiskGeometry:hubradius,b:=1.25hublength,L:=0.25meanseatradius,a:=1.88averagediskthickness,t:=0.626attseatangle,a:=10e:=--e=0.0872180ValveDiskMaterialProperties:modulusofelasticity,E:=29400000OtherValveParameters:Poisson'sRatio,v.--0.30ishalfdiskangleuValveStemDiameter,D<.=1.375StaticUnseatingThrust,F>>.=3092(reference:Test¹12,10/1M4)ValveFactorVF:=I(reference:NER-2M-Of0)CALCULA77ONS:Coeflicientoffrictionbetweendiskandseat,p:=coge)-'-s~(e)'lt1.091(reference¹6)AverageDPAcmssDisk,DiskStN'nesConstants,gives,DP=54andG:=E2(I+v)up1downDPavg'bonnet2Et3i2(l-')whichgives,D6.60510andG=1.131~10I'bb2abiGeometryFactors,C2'=-I--~I+2ln-C3.=--+IIn-+--I4ab4aabaIbc8:=-1+v+2ab2C9---In-+-I--whichgives,C20.049C8~0.805COMEDPLEvaluationPSWP67BA.MCDC3~0.005C9=0.241ValveID:2SWP'MOVQ&page1

NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/DateQo~np~A'-4~~ip/ppNMP2CalcutattonCont.SheetChecker/DateelitismPage~fr+7A10.1-AD%03,Rev.01AddtI'onalGeomehyFactors,rp.'=b2422rprprprpLII:=-I+4--5--4-~2+-~In-64aaaarpIL17442I-vroroaI--I----~I+(I+v)In-4aarpwhichgives,L11=4.481~10andMomentFactors,2OPavg'r2Mrb'=--'(a-rp)-LI7C82.abL17=0.046~b=-'"'(*-0*)2bwhichgives,Mrb-13.186andQb=42.593Deflectfonfrompressure/bending,2aavgayb'=Mrb-C2+Qb-C3-L11,ooowhichgives,yb175210qDeflectionfrompressure/shear,2arrpKsa'=-0.32.1n--I+-~I-2In-bab2m'vgat.Gwhichgives,Ksa=%.078aridy'sq=-2.0910Deflectionfrompressure/hubstretch,Pfprcett(a-b)OPavgPforce'Lystretch'=ttb2Ewhichgives,Pf=334.525andysttch=-2.89710COMEDPLEvaluationPSWP67BA.MCDValveID:2SWP'MOV67Bpage2

NiagaraMohawkPowerCorporationNuoteerEngineeringOriginetotlnetegoergpoA8~g/r->lpgaNMP2CetouletionCont.SheetPage$hf/~A10.1-A@003,Rev.01TotalDeflectionduetopressure,AdditionalGeometryFactorsyq:ybq+ysq+y~~whichgives,yq=-4.131~10'Ir.'=,aroL3.=-.4a22roaro+IIn-+--IararoL9.'=-.ar21+v&I-v0-In-+-I-2ro4awhichgives,L3=0andL9=0Deflectionfromseatload/bending,w:=IawC2roC9roC3L9--+L3whichgives,DCSbbybwI'465'107Deflectionfromseatload/shear,roroKsa.'=-1.2-In-aby~:=Ksa-whichgives,Ksa~W.49tGswy-1.30110Deflectionfromseatload/hubcompression,L-2'1t'a2ycompr'=ttbEwhichgives,y~"1.02310TotalDeflectionfromunitseatload,whichgives,yw=-2.86810wequilibrium14406yw:=ybw+ysw+ycomprEquilibriumcontactloaddistribution,yqwequilibrium'whichgives,ywLoadperseat=2tta-=170.165yqywPressureLockingForce,COMEDPLEvaluationPSWP67BA.MCDValveID:2SWP'MOV67Bpage3 0tl NiagaraMohawkPowerCorPorationNuotearEngineeringNMP2CatoutationCont.SheetChecker/DateA+1Pageej'o//37A10.1-AD403.Rev.01F1k:=2na-(pcos(e)-sin(e))2whichgives,Fpreslock=30.3Yqpreslock'wPistonEffectForce,P~'.=0Fraraairaar'Danan'PhennarFane)whinhgivenFpinnaairaari60368"ReversePistonEffect"Force,Fv~.=[en(gphe~ar-Pap-Pea~)]ain(8)whihngiveaTotalForceReuiredtoOvercomePressureLockinFvm=104.517"total'reslock+po~vertpistoneffectwhichgives,'to<3376478103.ACTUATORCAPABILITYtActuatorModel/Size:MotorTorqueOutput:GearRatio:ApplicationFactor.PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:TQout:=TQmRVOGR.AfEffTQoutTHcap.'=-Sf=SMB-000-5TQm:=5OGR:=40Af:=0.9Eff:=0.4RV:=0.8825TQout=56.074Sf:-"0.014263THcap~3.931~10lt-lbstt-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCKINGMETHODOLOGY:KEI:=1.20ThreatMargin:=Tiicap-(Fn,ng.KEi)ThstMargin~-120.34lbsIL~Conclusion:OpenThrustMarginisnegative,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated>Ayufetre8sixrcVleieea~gpgn.iggot./ns'e,~etg~>~fcmscol'iegpecg4/Ho>drev'.COMEDPLEvaluationPSWP67BA.MCDValveID:2SWP'MOV67Bpage4

NiagaraMohawkPowerCorporationNuclearEngineering'go~apn@Q+l>%i&7ValveIDno:2SWP'MOV94ANMP2CalculationCont.SheetChecker/DatePager/PPA10.1-AD403,Rev.01Reuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTSrValveDiskGeometry:hubradius,b:=3.375hublength,L:=0.125meanseatradius,a:=3.91averagediskthickness,t:=0.4Saftseatangle,o:=10e=--e=0.0872180diskangleaValveDiskMaterialProperties:eishalfmodulusofelasticity,E:=29400000Poisson'sRatio,v:=0.3OtherValveParameters:ValveStemDiameter,D<~.--1.625StaticUnseatingThrust,F~.=7751(reference:Test¹26,$9i95)ValveFactorVF:=0.65(reference:NER-2M-010)DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),P~.=10SValveBonnetpressure(psig),Pbonnet=108Downstreampressure(psig),Pdown'=0CALCULATIONS:Coefllcientoffrictionbetweendiskandseat,p:=cos(e)--a~(e)IVF~+p0.686(reference¹6)AverageDPAcrossDisk,DiskStf'ffnesConstants,gives,DP=54andG:=-E2(1+v)up+downDPavg'bonnet2Etu(i-.*)whichgives,D2.97710andG=1.131~10Iba,bbabGeometryFactors,C2.=-I--1+2ln-C3.'=--+IIn-+--I4ab4aabaIbC8.=-I+v+(I-v)2abI+vaI-vb2C9.---In-+-.I-a2b4awhichgives,C20.009C80.911COMEDPLEvalUationPSWP94AA.MCDC3=3.965'10C9<0.121AValvelD:2SWP'MOVpage1 Jl0 NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/DatecQ~~~+z4'~&/z3j5pNMP2CalculationCont.SheetChecker/DatePage~fo/r%~,A10.1&D40S.Rev.01AdditionalGeometryFactors,rp,=b242'oro'oL11'=-1+4--5--464aaa2roa2+-ln-arp1L174421-U00a1--1----~11-(1+Y)1n-4aarpwhichgives,L11=1.378.10andMomentFactors,2DPavgaC9I2Mrb'0jC82abL17=0.009'"'(*-0*)2bwhichgives,Mrb=-8.373andQb=31.18DellectionfrompressureIbending,4aDPavgayb'.=Mrb-C2+Qb'C3-.L11DDDwhichgives,yb193710qDeflectionfrompressure/shear,2arprpK~:=-0.321n--1+-1-21n-babysq'=.2saavgatGwhichgives,Ksa=%.012.andy.~-L79610sqDeflect/onfrompressure/hubstretch,Pforce'.=tt(a-b)DPavgPforceLystretch=nb2Ewhichgives,Pforce~661.191andystretch-3.928'10COMEDPLEvaluationPSWP94AA.MCDValvelD:2SWP'MOV94Apage2

NiagaraMohawkPowerCotporauonNuclearEngineeringOrlginatorlnatecCiygpgNMP2CalculationCont.SheetchackarlDste~~/g/rrPage/~/'37Ato.t-AD403,Rev.01TotalDeflectionduetopressure,AdditionalGeometryFactorsyq'bq+ysq+ystretchwhichgives,yq=-3.771~10ro:=aroL3'=-.4822roaro+Iln-+--I8roaroL9--a1I+vaI-vo-ln-+-I-2ro4awhichgives,L3~0andL9=0Deflectionfromseatload/bending,Wi=I8wC2roC9roC3ybw.'=L9--+L3whichgives,DC8bbybw=-1.835'107Deflectionfromseatload/shear,roroKsa.'=-1.2-In-ab8y~.--Ksa-tGwhichgives,Ksa=%.177ysw=-1.272'10Deflectionfromseatload/hubcompression,-2tt.aycompr'tbL2whichgives,ycompr'otalDeflectionfromunitseatload,yw:=ybw+'ysw+ycomprwhichgives,yw312210whichgives,Equilibriumcontactloaddistributfon,yqwequilibrium'wLoadperseat-"2tta-~296.797Jqywequi]ibriumPressureLockingForce,COMEDPLEvaluationPSWP94AA.MCDValvelD:2SWP'MOV94Apage3

NiagaraMohawkPowerCorfgoratfonNucfearEngineeringt3rfginator/DateroyoAf~QlfClgnlrpNMP2CatculationCont.SheetChecker/DatejglrpIt./f/Page9+f/37Atp.1AD403,Rev.OtF1~'=2fta-(itcos(6)-sin(0))2whichgives,Fpreslock=354.165preslockYwPistonEffectForce,Pan:=0ftpistoneffect'tem'ibonnetpatm)whichgives,Ftstpn~~t223986"ReversePistonEffect"Force,Fveftaa2PbonnetPupPdownsm(1)whichgives,TotalForceReuiredtoOvercomePressureLockinF~=452.088F<<tal:=Fpreslock+Fpp+Fveft-Fpistoneffectwhichgives,F<<~=8.33326710'CTUATORCAPABILITY:ActuatorModel!Size:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:StemFactor.ThrustCapability:TQout:=TQmRVOGRAfEffTQoutTHcap:=-Sf=SMB-00-15TQm'.=14.74OGR:=34.1Af:=0.9Eff:=0.4RV:=1.0TQout~180.948Sf:=0.016407THcap=1.10310tt-lbsft-lbslbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KE[:=1.20ThrustMargin:=THcap-(Fm~KEI)ThustMargin~1.029101bsConclusion:OpenThrustMarginlspositive,thereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationPSWP94AA.MCDValvelD:2SWPMOV94Apage4

NiagaraMohawkPowerCorporationNuclearEngineeringOriginator/Date>~.p..4-Q~/iabpNMP2CalculationCont.SheetCheckeriDater/s/N7>>Pag~of/5'7A10.1.AD403,Rev.01ValveIDno:2SlrrVP'MOV94BReuired0eninForceOeternminafionunderPressureLockinCondifionsCOMEDMethodDESIGNINPUTS:ValveDiskGeometry:hubradius,b:=3.375meanseatradius,a'.=3.91averagediskthickness,t:=0.48seatangle,a--100:=--00.087.art21808ishalfdiskangleahublength,L:=0.125Valve.DiskMaterialProperties:modulusofelasticity,E:=29400000Poisson'sRatio,v.=0.3OtherValveParameters:hlValveStemDiameter,Dz.'=1.625StaticUnseatingThrust,Fpo8674(reference:Test¹6,tV1M3)(reference:NER-2M-010)ValveFactorVF:=0.65DesignBasisConditionsattImeofPressureLockingEvent:Upstreampressure(psig),Pp.=108ValveBonnetpressure(psig),Pbonnet"108Downstreampressure(psig),Pdown0CALCULA77ONSiCoeNicientoffnctionbetweendiskandseat,p:=cue)-sin(0)p0.686(reference¹6)AverageDPAcrossDisk,DiskStiffnesConstants,gives,DP=54Sfl(tG:=-E2(1+v)up+downavg'onnet"2Etr2(r-')whichgives,D=2.97710andG1.131~101ba.bbaGeometiyFactors,C2.'=-1--1+2ln-C3.'=--+1h-+4ab4aab1bC8:=-1+v+(1-v)2ab1+va1-vC9.--.-ln-+-a2b4whichgives,C20.009C80.911C3=3.965'10C9=0.)21COMEDPLEvaluationPSWP94BA.MCDValveID:2SWPMOV94Bpage1

NiagaraMohawkPowerCorgorationNuclearEngineeringOriginatorloate~~pc,Q.g~~gyyppNMP2CalculationCont.Sheetakkkkklrakrk~7/a/r7Page95ofr~'7A10.1AO403,RW.01AdditionalGeometryFactors,rp',=b2422rprprprpL11'=-I+4--5--4-~2+-In-64aaaarpIL17.'=-44I-v0I--I--4~a2rpa~I+(I+v)ln-arpwhichgives,MomentFactors,LII1.37810andL17=0.009Mg:=-2DPavgaC8a-rp-L172ab'"'(*-0*)2bwhichgives,M*-8.373andQb~31.18Deflectionfrompressure/bending,r4aaavgayb'.=Mrb'C2+Qb-C3-L11DOOwhichgives,yb~-I93710,qDeflectionfrompressure/shear,2arprpK~:=-0.32In--I+-~I-2In-bab2Km.DPavgat.Gwhichgives,K~~%.012andy-1.796'10sqDeflectionfrompressure!hubstretch,Pra~.'=a(a-b)DPak<Pforce'Lystretch'tb2Ewhichgives,Pf0~'"~661.191andystretch=-3.92810COMEDPLEvaluationPSWP94BA,MCDValveID:2SWP'MOV948page2 1I'I NiagaraMohawkPowerCorporationNuotearEngineeringOriginator/Date~reapg,A'MP2CalcuiationCont.Sheetcweaeaas<a~Page94efi'PA10.1-AD402.Rev.01TotalDeflectionduetopressure,yq'bq+ysq+ystretchwhichgives,y=-3.771~10AdditionalGeometerFactorsr:=aroL3'=-4a22roaro+IIn-+--IaroaroL9.=-.a2I+va1-vro-ln-+-I-2ro4awhichgives,L3=0andL9=0Deflectionfmmseatload/bending,w:=IawC2roC9roC3ybw:=----L9--+L3whichgivesDC8bbybw~-1.83510Deflectionfromseatload/shear,roroKsa:=-1.2-ln-aby:=Ksa-whichgives,asw'sa~%.177ysw~-1.272.10Deflectionfromseatload/hubcompression,-2'ttacompr'tbL2whichgives,ycomprTotalDetlectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw3.12210Equilibriumcontactloaddistnbution,we~bn~.'=-whichgives,yqywLoadperseat>>-2tta-~296.797yqywwequilibrium12.081PressureLockingForce,COMEDPLEvaluationPSWP94BA.MCDValveID:2SWP'MOV94Bpage3

NiagaraMohawkPowerCorPorationNucfearEngineeringOnginator/Datewo~rzprr~rob/p'/zsjpQNMP2CafcufationCont.SheetChecker/Date.ir/fCj7Pagerr/ofJ9~A10,1.AD403,Rev.Ot2.,q.(.~>0)<0)).2whichgives,Fp1~k=354165YqYwPistonEffectForce,Pat:=02/ppistonstreetDstem'(PbonnetPstm)wh/chgive~,Fp,.st,ncff~t=223.986s"ReversePistonEffect"Force,Fcrt.'-.fta2Pbonnct-Pup-Pflownsin(8)whichgives,TotalForceReuiredtoOvercomePressureLockinFv~=452.088Ftptat.'=Fpresloci'+Fpc+Fvert-Fpistoncffccwhichgives,Ft~9.256267'10'CTUATORCAPABILITY:ActuatorModel/SizarMotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput:Stemfactor.ThrustCapability:TQoutTHcap:=SfTQout:=TQmRVOGRAfEff=SMB-00-15TQm',=14.74OGR:=34.1Af:=0.9Eff'=0.4RV:=1.0TQout~180.948Sf:=0.016407THcap=1.103'10ft-lbsft-lbs1bsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOCNNGMETHODOLOGY:KEI:=1.20TbrnstMsrttin=THcsp-(FtomtKEI)ThrustMargin~-78.7991bsQt/1Conclusion:OpenThrustMarginIsnegative,thereforethisvalveandactuatorarelikelyto.overcomethetheoreticalpressurelocklngconditlonsevaluated>pe~everHAerr/a~giw/~aogirasolgrafHriisr/d/'~pgaep~4)drifts~<~4COMEDPLEvaluationPSWP94BA.MCDValveID:2SWP'MOV94Bpage4

hlYNlAGARAHQMOHg~K..CALCULATIONCONTINUATION'SHEETNUCLEARENGINEERINGPage(Next~atNineMilePointNuclearStationUnit:2Disposition:NAOriginator/DateChecker/DatecgiOWWP'ffe~ggPria/~rA10.1-AD-003Revision01ATTACHMENTSFORMAT¹NEP-DES-08,Rev.01(F02)

NIAG&MIITOHAWKPersonsInvolved:CACCldll/0>:A/0,(-ADa&9Pgv'(AAsl~ed/gNUcr.Em~~~Ay~PggNG~~GNOTESOFTELEPHONECONVERSATIONNMPC:GainesBruceAnchor/Darling:RonBrubakerDateofConversation:Tuesday,August22,1995

Subject:

InternalValveDimensionsfor2CSH*MOV1012:45PMSummaryofConversation:RoncalledtostatethathewasworkingonourP.Q.toprovideinternalvalvedimensions.RonstatedthatasIhadpreviouslyrequested,thathewascallingtoprovidemethedimensionsfor2CSH~MOV101inadvanceoftheformalresponse.Applicabledimensionsfor2CSH*MOV101are:SeatOD:SeatID:HubDiameter:Wedgeangle:Topofdiscwidth:Bottomofdiskwidth:Hubwidth:131/2inches11inches4inches6degrees(includesbothfaces)2.013inchesI/306inchesP/,Pod")3/16inchRonstatedthattherewasabout1/8inchofhardfacingonthediscscat.IadvisedhimthatIthoughtthatMPRwantedthcwidthlesshardfacing.Ron'alsostatedthatthehubwidthwasnotauniformwidthfromtoptobottom.Thesidesareabrasivecutandthatisthe3/16inchdimension.Ronstatedthathewouldtrytaclarifywhatisbeingprovidedintheformalresponse.ActionRequiredandDueDates:Nospecificactionsaretoresultf'romthisdiscussion.AnchorDarlingisto,complywithP.O.Commitments:N/Axc:RonBrubaker(byfax) 0 NiagaraMohawkPowerCorporation-VeianP.O.P9-80572-KDimensionalDataforPressureLockingAnalysisDM-0050cP0ValveID2RHSAMOV112VelanDw.No.P2-7026-N13item492017.62515.935SeatDimensionsSizeOOIDHubDia.1<.2500,37K%6/HubTopofDiskWidthThick"essBottomofDiskWedgeBonnetThicknessAnleVolume1.330104464.72RHS*MOV113P2-7026-N13482017.62515.935i4.2500.3751.330104464.72RHS*MOV15A2RHS*MOV15B2RHS*MOV25A2RHS*MOV2sB2SWP'MOV21A2SWP*MOV21B2CSL4MOV1072SWPAMOY67A2SWP*MOV67B2ICS*MOV129P3-7026-N10P3-7026-N10P3-7026-N10P3-7028-N10P3-7026-N18P3-7026-N18P3-7026-N2P3-7026-N18P3-7026-N18P3-7026-N2474747476262137777241616161615.90615.90615.90615.9063.1253.1253.9383.9383.9386.25014.90614.90614.90614.9062.7602.7603.5763.5763.5765.7501'..500i1.50011.50011.5001.7501.7502.5002.5002,5004.5000.~000.6000.5000.6000.5000.5000.5000.5000.5000.250".~BP3.8821.8821.8820.5280.5280.6280.6280.6280.4121.4061.4061.4061.4060.5520.5520.6240.6240.6240.343103238.9103238.9103238.9103238.9106391063.910111.010111.01011107215.32ICS*MOV1362HH8'OV4AP3-7026-N224P3-7028-N2266.250-8.2605.7506.7604.5004.6000.2500.4120.2600.4120.3430.3437216.3721632RHS*MOV4B2RHS*MOV4CP3-7026-N2P3-7026-N22SWP*MOV17A2SWPoMOV17B2SWP'MOV1BAP3-7026-N6P3-7026-NBP3-7026-N62SWP*MOV66AP3-7026-N62SWP*MOV66BP3-7026-N62SWP'MOV94AP3-7026-N62SWP*MOV94BP3-7026-N62525656566663737386688881212126.2506.2508.063-8.0638.0638.06311.750ii.7s011.7505.7505.7507.5637.5637.5637.56311.25011.26011.2509.8759.8769.8750,2500.2600.2504.5000.2504.5000.2506.7500.2506.7500.2506.7500.2506.7500.2500.4120.4120.4710.4710.4710.4710.671AP7<967"-0.3430.3430.4780.4780.4780.4780.9060.9060.906721s37215.310434.310434.810434.810434.871294071294.071294.02SWP*MOV18B2RHS'MOV1152RHS*MOV1162ICS*MOV1262ICS*MOV1222ICS~MOV121P3-7026-N6P3-7026-N6P3-7026=N6P3-7026-NBP3-7026-N10P2-7026-N172ICS*MOV128P2-7026-N17Note:Dimensionsarelninches.38464530-403669121616612101011.75015.90615.9065.87511.7508.7508.75011.25014.90614.9065.33211.2508.0308.0309.87511.50011.5003.0009.8756.1256.1250.2500.5000.5001.0000.2500.3750.3751.8821.8821.0000.6710.8260.8260.9061.4061.4061.1230.9061.1971.1977129.0103238.910.3238.910283.471294.010617.210617.2Preparedby:JohnMcDougall24/08/1995Rev1 ' 4M~Mme.~CP~qtcd=4Cz4COMMONWEALTHEDISONCOMPANYPRESSURELOCKINGTESTREPORTBrianD.Bunte,P.E.CommonwealthEdisonCompanyJohnF.Kelly,P.E.RECTATechnologies,inc.ABSTRACTPressuieLockingisaphenomenawhichcancausetheunseatingthrustfor'gateygyetoincreasedramaticallyfromitstypicalstaticunseatingthrust.Thiscanresultinthevalveactuatorhavinginsufficientcapabilitytoopenthevalve.Inaddition,thiscanresultinvalvedamageincaseswheretheactuatorcapabilityexceedsthevalvestructurallimits.Forthesereasons,aproperunderstandingoftheconditionswhichmaycausepressurelockingandthermalbinding,aswellasamethodologyforpredictingtheunseatingthrustforapressurelockedorthermallyboundvalve,arenecessary,Thisreportdiscussestheprimarymechanismswhichcausepressurelocking.Theseincludesuddendepressurizationofpipingadjacenttothevalveandpressurizationoffluidtrappedinthevalvebonnetduetoheattransfer.Thisreportprovidesamethodologyforcalculatingtheunseatingthrustfora'valvewhichispressurelocked.Thisreportprovidestestdatawhichdemonstratestheaccuracyofthecalculationmethodology.DESCRY"HONOFPRESSURELOCKINGPHENOMENAPressurelockingoccurswhenthebonnetcavitypressureofagatevalveexceedsthepressureonhghsidesofthevalvedisk.Thetwoprimarymechanismsthatexistforpressurelockingofgatevalvesaredescribedbelow:Thispressurelockingmechanismoccurswhenavalveispressurizedfromoneside.Leakagepastthevalvescatwillcausethefluidinthegatevalvebonnettopressurizeto.,thepressureofthehighpressuresideofthevalvedisk.Dependingontheleak-tightnessofthevalveseats,thispressurizatioprocessmaytakesecondsorhours;however,itisextremelyunlikelythatthevalveseatwillbesufficientlyleaktighttopreventthisprocessfromeventuallyoccurring.Ifthesourceofpressureissuddenlyremoved,thenprcssureinthebonnetvalvewillremaintrapped.Ifthevalveiscalledupontoopenbeforethebonnetpressurehasdecayedtothelinepressure,thenapressurelockingeventoccurs.eThe'timeneededforthebonnetpressuretodecayisdependentonseveralfactorsincludingleaktightncssofvalveseatsandpacking.Inaddition,whenthebonnetfluidisatahightemperatureorcontainslargeamountsofair,the,bonnetpressuredecaysmuchmoreslowlyduetothepressurizereffect.Apparentcasesofpressurelockingoccurringuptoadayafterthepressuresourceisremovedhavebeenrecorded.However,testdatapresentedlaterinthisreportsuggeststhatthebonnetpressureislikelytodecaywithinonehourofthesuddendepressurizationevent3C-9'UREG/CP-0152 0'I0 g44iehwy~yCC~~c+C2~urring~istypeofpressurelockingislikelytooccurwhenpumpsadjacenttoclosedvalvesshutofforwhenaneventsuchasaLOCAcausespressureononesideofavalvetosuddenly<<op<<f~entheinitialdifferentialpressureacrossthevalvediskissufficienttounseatthehighpressuresidediskfromitsseat,thenthebonnetpressurefollowingasuddendepressurizationeventislessthanthebonnetpressureatthestartoftheevent.Themaximumpressurewhichcanbetrappedinthevalvebonnetcanbecalculatedbydeterminingthedifferentialpressureatwhichthevalvediskwillcomebackintocontactwiththevalveseat.Untilthedisktoseatcontactisre-established,thebonnetpressurewillfollowthe.upstreamsidepressure.ThiscalculationhasbeendevelopedbyComEd,butisnotprovidedinthisreportduetoconstraintsonlength.Thispressurelockingmechanismoccurswhenthevalvebonnetcavityofagatevalveisfilledwithliquidthatcontainslittleornoair.Ifaheatsourceisappliedtofluidinthevalvebonnetcavity,thenexpansionofthefluidcancausepressureinthevalvebonnettodramaticallyincrease.Theheatsourcecanbefluidinpipingadjacenttothevalveorexternalenvironmentalconditionsasmightbeencounteredfollowingahighenergylinebreak.Pressurizationratesof-20psi/'Fto60psi/'Fhavebeenrecordedduringspecialtesting.However,pressurizationratesofthisnaturerequirethefollowingconditionstoexist:thevalveseatsandpachngmustbeveryleaktight~theheatsourcemustprovideahighheattransferratetothebonnetcavityfluid~noaircanexistinthevalvebonnetcavity,orthetemperatureriseinthevalvebonnetcavitymustbesufficienttocausetheexpandingfluidtocollapsetheairbubblesbeforethehighpressurizationratecanbeachieved.PRESSURELOCKINGCALCULATIONMEI'HODOLOGY1.Thevalvediskisassumedtoactastwoidealdisksconnectedbyahub.Theequationsinreference1areassumedtoconservativelymodeltheactualloadduetopressureforces,2..ThecoefBcientoffrictionbetweenthevalve,seatanddiskisassumedtobethesameunderpressurelockingconditionsasitisunderDPconditions.NUREG/CP41523C-10

~X~U4aaKLbKA)i-CQX<oik44~~h~g~+C~%c.Kcgn'nputsareusedincalculatingtheforcerequiredtounseatapressurelockedMOV:i~sign~isPressureConditionsatthetimeofthepressurelockingevent.Thisincludestheupstream(PP,downstream(P~g,andbonnetpressure(P~J.~ValveDiskGeometry.Thisincludesthehubradius(b),hublength(L),meanseatradius.,(a),seatangle(8),andaveragediskthickness(t).Figure1belowisprovided,forfurtherclarification.Whenthehubcross-sectionisnotcircular(e.g.manyWestinghousegatevalvedesigns),thenaneffectivehubradiuswhichcorrespondstoacircleofequalareatothehubcross-sectionalareashouldbeused.~ValveDiskMaterialProperties.Thisincludesthemodulusofelasticity(E)andthePoisson'sratio(r)forthediskbasematerial.~ValveStemDiameter(D~II~StaticUnseatingThrust(FP~CoefficientofFrictionbetweenDiskandSeat(p)3C-11NUREG/CP-0152 0 FIGURE1SEATRlNGVALVEDISKISeatRingCenterlinePlaneofSymmeThroughOlskThemethodologyforcalculatingthethrustrequiredtoopentheMOVsunderthepressurelockingscemuioisbasedontheReference1(Roark's)engineeringhandbook.ThismethodologyisbasedinpartoncalculationsdevelopedbyMPRAssociates(Reference2).Themethodologydeterminesthetotalforcerequiredtoopenthevalveunderapressurelockingscenariobycalculatingthefourcomponentstothisrequiredforce.Thefourcomponentsoftheforcearethepressurelockingcomponent,thestaticunseatingcomponent,thepistoneffectcomponent,andthe"reversepistoneffect'omponent.Thesecomponentsaredeterminedusingthefollowingsteps.NUREG/CP41523C-12 IIIII~,~n ledastwoplatesattachedatthecenterbyahubwhichisconcentricwithplaneofsymmetryisassumedbetweenthevalvedisks.'ThisplanefsymmetryisconsideredfixedintheanalysisFIGURE2HaneofSymmetryModeledAs:-I-AxisafSymmetry3C-13NUREG/CP-0152

~~IJQ(~l~i~%4gt44+b.~Q~q~+Cgascxfonthisgeometry,thefo>>o~ingconstantsarecalculatedusingtheReferenceiequations:AverageDPAcrossDiskP+P~OP~-PboDiskStressConstantsExt(ReferenceI,Table24)D-12x/1-v'-.2x(1+v)GeometryFactorsb(Q.gb'sFM~INB(Reference1,Table24)1C=-1-24bC=-4aI1+2b'2+1aab-+--1ba(4)1C=-I2bC=-9aI+v+(1-v)-a1+va1-v+2b4b21--a(7)hHGKG/CP41523C-14

gQa(,jiL)-4~++~eh~pn+CV)qzcThepressureforceisassumedtoactuniformlyupontheinnersurfaceofthediskbetweenthehubdiameterandtheouterdiskdiameter.Theouteredgeoithediskisassumedtobeunimpededandallowedtodeflectawayfromthepressureforce.Inaddition,thediskhubisallowedtostretch.ThetotaldisplacementattheouteredgeofthevalvediskduetoshearandbendingandduetohubstretcharecalculatedusingtheReference1equations.FIGURE3shear~am.~stretchAddtdonalGccwcnyFacmrs(lbfcrcnccl.Toblc24)(r,~bfor'Cacc2L)PuP2P3,1]+(]+v)MomentF~()$g~sg('D()-DPxC-ci(()(2ssasaa2Ta(sla24,Csaa2L)hf>>2(a-as)Lss](r,~bforCocc2L)~DPav(~~)22(bDcjfccclcccjhraprccc()telbcatbga'iDPassgaa'PalaasaaL1a(s(a2(Ccaa2L)yk(aCsQ(s-Cs-.D-(ss3C-15NUREG/CP4152

4~bcX~Wi-o~A,LO.E-KC-O~~044~~4~a~%CCS~+~~CoDeflecttofrompressure.'hear(peference1,Table25,Case2L)Ksa=-0.2t---'-2l(13)(r,=bforCase"L)K,.xDPavgxa'xGDeflectionPopressureIhubstretchP>=tr(a'b')DPavg-PjLnxb'2xETotalDeflectionduetopressure(17)AnevenlydistributedforceisassumedtoactbetweenthevalveseatandtheouteredgeofthevalvediskTNsforceactstodeflecttheouterdiameterofthevalvediskinwardandtocompressthediskhub.Thepressureforceisreactedtobyanincreaseinthiscontactforcebetweenthevalvediskandseats.Thevalvebodyseatsareconservativelyassumedtobefixed.Therefore,thedeflectionduetotheknownpressureloadmustbebalancedbythedeflectionduetotheunknownseatload.Thedeflectionduetothepressureforcewaspreviouslycalculated.TheReference1equationsarenowusodtodeterminethecontactforcebetweentheseatanddiskwhichresultsinadeflectionwhichisequalandoppositetothedeflectionduetothepressureforce.Thisisdonebyfirstcalculatingtheamountdeflectioncreatedbyaunitloadofseatconstforce(w~1lbf/in).Theequilibriumcontactloadisthendeterminedbydividingthedeflectioncausedbytheunitcontactloadintothepreviouslycalculateddeflectionduetothepressureforce.Theequationsareprovidedbelow.NUREG/CP%1523C-16

i~a+o~k<O>-4>-<<~hA4.Ac%wca+p~ggQQo+C-Z4rfdditionalGeometryFactors(ReferenceI,Table24,CaseIL)rnL,=-4xalro+Ia2ar,I-+--Ir,a(18)(forCaseIL,r,=a,.L3=Q=0)>>0aI+v-I2aI-v+ro4-HDeflectionjomseaload/bending(r,=a)~,~pc/yp(ReferenceI,Table24,CaseIL,w=I)(2o)Deflectionf>>omseatload/sltea>>(>>=a)(ReferenceI,TaMe25,CaseIL,w=1)E'-12-'ab(21)y=E-(22)Deflectt'onPomseatloadIhubcour.Zxgxaw=I,.'.'Cnryres.hefo>>ce=2xexayzxb(23)TotalDeflectionpornuniseatload(w=1)'.=y+y+y(24)3C-17NUREG/CP-0152 ~'0 gg4i~4~i>+CCsa~+'C~+nttload'istribution(ibf/in)andthecorrespondingloadappliedTherefore,theequilibriumcontacttoeachseatiscutscalculated.usingtherelationshipbc}ow..,it'lleX.iscalculatedfpp~Loadperseat=2xgxax-(25'26beusedtodetermineanappropriatescattodiskfrictioncoefficient.UsingSeveralmethodsmayuecfollowinuationthisfrictioncoccientana',c'ri'fi'andaforcebalanceonthediskto,seatinterface,thc'cqbetweenisderivedforcuatingescalI'htcmforcerequiredtoovercomethcincreasedcontactloadtheseatanddisk:F=2xgrxax-'[pxcos{8)-sin{8)jx2prcskek(27)wlenilthelass2corraposdssothenumberofscamThestaticunseatingforceresultsfromtheopenpacgonkinloadandpulloutforce'duetowedgingofthevalvediskduringclosure.Theseloadsaresuperimposedontheloadsduetocpressureforceswhichoccurduringpressurelocking.ThevalueforthisloadisbasedonstatictestdatafortheMOVs.I~ThepistoneffectduetovaIveinternalpressureaccedingoutsidepressureiscalculatedusingthestandardlnusuy'eqdard'usuy'equationThisforceassistsmovementofthevalvestemintheopendirection.2F=-xDxPb<<<<,-P<<III)plsrosscffecs4srtlss{2SNUREG/CPA1523C-l8

Thereversepistoneffectisthetermusedinthiscalculationtorefertothepressureforceactingdownwardagainstthevalvedisk.Thisforceiscalculatedasfollows:F,,=<xax2xP~-P,,-P,xsing(29)HGURE4P1oanetPbonnet3C-19NUREG/CP-0152

~~XcIo.+s'o<EhtO~t-h<0-<<>k44~~4we~+C~4K2cAsmentionedpreviously,thetotalstemforce(tension)requiredtoovercomepressurelochngisthesumofthefourcomponentsdiscussedabove.Allofthetermsarepositivewiththeexceptionofthepistoneffectcomponent.(30)DESCRIFMONOFTESTVALVESThethreetestvalveswereobtainedfromdifferentsources.TheCranevalveisatestvalvelocatedatQuadCitiesStation.TheWestinghousevalvewasobtainedthroughtheWestinghouseOwnersGroup.TheBorg-WarnervalvewasobtainedfromArizonaPublicService.TheCramvalveisasparevalvewhichwassubjectedtoblowdowntestingatWyleLaboratoriesinHuntsville,Ahlmmt.TheWestinghousevalveisatestvalvewhichwassubjectedtolimitedtestingatSouthTexasProject.TheBorg-Warnervalvewasasparevalvewhichhadnotbeensubjectedtoprevioustestingotherthanthatperformedatthevendorpriortodelivery.ThcCranevalveisacarbonsteelvalve(Model783-U)whichwasmodifiedduringblowdowntestingtocontainastainlesssteelvalvediskandmalcolmizedguiderail(similartotheModel783-ULvalvedesign).TheWestinghousevalveandBorg-Warner'alvewerestainlesssteelvalvedesigns.NUREG/CP41523C-20 11 DMM~'IONOFTEST'APPARATUS~Xc~~W~q>K~@,(Zxy-ugg4hc4~+~+c4CThefigurebelowshowsthebasictestsetupusedforthepressurelockingtests.AVQTES'4tacquisitionsystemandaMotorPowerMonitor(MPM)dataacquisitionsystemwereusedtocollectstemthrust,actuatortorqueandmotorpowerdata.Inaddition,on-linepressuredatawascollectedduringtheWestinghouseandBorg-Warnervalvetests.AhydrostatictestpumpandaccumulatorwereusedasthepressuresourceduringpressurelockingtestsandhydrppumpDPtests:HGURESVOTESmLlmttarq.MPMsystemVent88S>>InGa"QeAccumutatorPressureGaugePressureGaugeHydroPump~1PressureGaugePressureGaugeVentFortheCranetest,thevalvewaslaidonitssiCkwiththestemslightlybelowhorizontal.Thisconfigurationwasusedtoenlirethatnoairpocketswouldbetrappedwithinthevalvebodywhenitwasfilledwithwater.TheWestinghousevalvewasinstalledinateststandwiththestemupright.Thevalvebonnetwasventedbybleedingairoutofthkpackingleakwffline.'TheBorg-Warnervalvewasinstalledinaspecialteststandwhichallowedpivotingthevalveabo'erlineThevalvestemcouldbeputatanyanglebetweenuprightandslopedut1'tscen~~~~~valvebonnet,thedownwardata15degreeangleineitherdirection.ToremoveairfromthevalvebonvalvewasrotatedonitssiCkandrockedupanddownasitfilledwithwater.3C-21NUREG/CP4152

DESCRY'TIONOFTESTMETHODSThetestprocessstartedwithstaticteststrokestoverifytheproperinstallationofthedataacquisitisystemsandtomeasurestaticunseatingloadmagnitudeandrepeatability.LLEKRATTLocalleakratetestsofthevalveswereperformedtomeasureseattightness.Thesetestswiperformedatmultipletorqueswitchsettingsinsomecases.DPTestsintheopendirectionwereperformedbypressurizingthevalvefromonesidewithhydropumpandthenstrokingthevalveopen.Testdataindicatesthatthedifferentialpressureimaintainedacrossthevalvediskwhilethediskslidacrossthevalveseat.ThepurposeoftheDPtcwastopreconditionthevalveseatsanddisksandtomonitortheseat-to-diskfrictioncoefficient.DPtestswereperformeduntilastablefrictioncoefficientwasachieved.Aseriesofpressurelockingtestswasperformedfoteachvalve.Inletpressure,outletpressure,bonpressure,andstaticseatingforcewerevariedduringthesetests.Staticbaselineteststomeasurestaticunseatingloadwereperformedbetweenthepressurelockingtests.Thcclosurestrokesforstatictestswereperformedatthesameinitialconditions(pressureandseatingforce)astheclosstrokespriortothepressurelockingtestssothatthechangeinunseatingloadduetopressurelockcouldbeaccuratelydetermined.Tomeasuretheseattightness,bonnetdeprcssurizationratetestswereperformed.Theentirevassembly(includingthevalvebonnet)waspressurizedwhileintheclosedposition.Thentheupstranddownstreampressutewctevented.Thebonnetpressureasafunctionoftimewasmeasured.To'easurethcpotentialforpressurelockingduetobonnetfiuidheat-up,thermallyinducedboypressurizationratetestswereperformedontheWestinghouseandBorg-Warnervalves.Aftervenairfromthevalvebonnetcavity,eachvalvewasclosedwhilefilledwithwateratapproximatelypsig.Thevalvebonnetwasthenheatedusinganoutsideheatsource.Thepressureofthefluidinvalvebonnetwasmeasureddirectly.ThetemperatureoffluidinthevalvebonnetfortheBorg-WavalveandthetemperatureoftheoutsideofthevalvebonnetfortheWestinghousevalveweremeasuInitialpressurizationratesbetween0.5and2.0psi/degreeFweremeasured.MuchhigherultirNUREG/CP41523C-22 1 klO<-Ab-o9CtWe4C.~WpressurizationrateswerewitnessedduringtheBorg-Warnertests.Thedatafromthistestingisnotpresentedinthisreport,butisavailablefromComEduponrequest.PRESSURELOCKINGTESTDATAThefollowingtableprovidesthepressurelockingtestresultscomparingthemeasuredpressurelockingunseatingloadtothepredictedpressurelockingunseatingload:TABLE1IncraLseercentConservatism(Non-Cons.)Notesfan41414114el,4fgofgofgofg-fgefge~fge~14el4fge~fge~fg~3ce23NUREG/CP-0152

6+~~M~Vw+c.g(e%(fgoifgoIorg-rg-.IOrg-.Irg-.Irg"~ItattcUnseatingThrust14clncratse14dIncreaseercent'onservatism(Non-Cons.)NotesNOTES:1.Thepercentconservatismvaluesarecalculatedaftera"memoryeffect"of3100lbf(atTSS=1)or3500Ibf(atTSS=2)isaddedtothepredictedpressurelockingload.Testingindicatedthattheprocessofapplyingandthenrelievingpressureagainstonesideoftheclosedvalvewassufficienttocausetheunseatingforcetoincreasebytheseamounts,evenwhennopressurewascapturedinthevalvebonnet.ThiseffectwasonlynotedfortheBorg-Warnertestvalve.2.Whenbonnetpressuresignificantlyexceedsthepressureclassratingofthetestvalve,thepressurelockingcalculationmethodologyappearstobecomenon~nservative.3.Tests86and95wereperformedtoquantifythe"memoryeffect"fortheBorg-Warnervalve.Thcsctestswereperformedlikeapressurelockingtestinthathighpressure(-600psig)wasputagainstonesideofthevalvediskandthenbledoff.However,anypressurethatenteredthevaLvebonnetwasrelievedpriortotheopeningstroke.J4.TheACmotorforthetestvalvestanedduringthistestandthevalvedidnotfullyunseat.Testdatasuggeststhatopenvalvemotionwasinitiatedpriortothcstall.Consequently,themeasured.increaseduetopressurelockingisbelievedtobe.correct.5.Thcpressuredataforthistestisquestionableandisbeingevaluatedatthistime.II6.Theupstreamanddownstreamprcssureduringthesetestswasapproximately350psig.Thiswasdonetoapproximate,theLPCIandLPCSinjectionvalvepressureconditionswhichcouldexistintheeventofaLOCh.Graphs1through6providethcdatainTable1forthethreetestvalves.Thctotalmeasuredunseatingloadversusthetotalpredictedunseatingloadandthepressurerelatedportionofthemeasiuedloadversusthepredictedpressurerelatedportionoftheunseatingloadareplottedforeachvalve.NUREG/CP%1523C-24 IP'It GRAPH1PredictedUnseatingThrustVersusMeasuredPressureLocldngUnseatingForceforCraneValve'IsxNOtm1mo001000020000300004XOO600000007000080000TotalPredictedUneealngLoad3C-25NUREGICP-0152

GRAPH2PredictedVersusMeasuredPortionofPressureThrustbuetoPressureForcesforCraneValve4XNO3500030MO2500020000150001000050000050001000015000200002500030000350004XNOPredictedLoadDuetoPressureNUREG/CP-01523C-26 r, oowRo)he%)cpuGRAPH3PredictedUnseatingThrustVersusMeasuredPressureLockingUnseatingThrustforWestinghouseValve'O50008000Cco'Igaxo10000010002000300040005000TotalPredictedUnseatingThrust3C-27NUREG/CP-'0152

GRAPH4PredictedYersusMeasuredPortionofUnseatingThrustDuetoPressureForcesforWestinghouseValve7000a8000Ch5000gm<<xeceoaxe'100001000200030004000500060007000PredictedLaadDuetoPressureNUREG/CF41523C-28 I) GRAPH5PredictedUnseatingThrustVersusMeasuredPressureLockingUnseatingThrustforBorg-WarnerValve1000015000'000025000PredictedUnseatingLoad3C-29NUREG/CP-0152 0 GRAPH6PredictedVersusMeasuredPortionofUnseatingThrustDuetoPressureForces.forBorg-%amerValve10000"1$08NXSPrecHctedPnasureFoneeNUREGICP-01523C-30 14 K~l~+o~~a.i-hb-Oo~Po1c.zw4-c>4PRIMARYDIN'ERENCESBETWEENTHECOMMONWEALTHEDISONPRESSURELOCKINGCALCULATIONANDTHEPRESSURELOCKINGCALCULATIONMETHODPUBLISHEDINNUIT/CP-0146TheComEdmethodologyisbasedoncalculatingthecontactloadattheedgeofthediskwhichresultsinanequalandoppositediskdeflectiontothatcausedbypressuretrappedbetweenthedisks,TheComEdmethodologydiffersinseveralwaysfromthemethodologydescribedintheReference4NUREG.~TheNUTMEGMethodologyignoresdiskdeflectionduetohubelongation.Thisisnon-conservative.Fortypicaldiskgeometries,theexpectedimpactofignoringthiseffectislessthan5%.~ThehKGKGMethodologyisbasedonusingTable24ofRoark'sequationsforcalculatingforcesinthedisk.Thistableignoresdiskdeflectionductotransverseshearstresses.Section10.3ofRoark'sEquationsdiscussestheconditionsunderwhichdeflectionduetoshearisnegligible.Fortypicaldiskgeometriesthedeflectionduetoshearisoftennotnegligible.Table25ofRoark'sEquationsprovidestheequationsforcalculatingdiskdeflectionduetoshear.Ignoringdeflectionductoshearisnon~nscrvativc.Forsmallvalvesizeswherethediskthicknesstodiskdiameteraspectratioislarge()0.3),ignoringshearmayresultinunderpredictingthedisktoseatcontactloadby10%ormore,TheComEdmethodologytreatstheverticalpressureforceonthediskseparatelyfromthepressurelochngloadcausedbytheincreasedcontactloadbetweentheseatanddisk.TheNUREGmethodologyreliesonuseoftheopendiskfactorfortranslatingtheincreasedseatingcontactforceintoanincreasedunseatingload.Theopendiskfactorisbasedonafreebodydiagraminwhichthediskhubisunloaded.Thisisnotthecaseforpressurelocking.TheNUREGtreatmentofthesetwocomponentstothepressurelockingunseatingloadisnon-conservative.ThissourceofnonmnservatismisgenerallymuchmoresignificantthantheotherconcernsmentionedabovefortheNUREGmethodandistheprimaryComEdconcernwiththeNUITmethod.Thederivationsonthefollowingpagesareprovidedtosupportthediscussionabove.3C-31NUREG/CP-0152

Op~phATeACTORDERIVATlON(Openingavalveagainstadifferentialpressure)%~%~4o~pF=StemForce(tension)pici-~u-'~+~'~4~p~i+CP=PressureForce<g~q,c+CZGFIGURE6'DPxSeatAreaR=SeatReactionForcepR=SeatFrictionForce8=SeatAngleDiskFactor(VF)=F/P(bydefinition)Sumofforcesindirection:gF,Peos8Rcos8-@csin-8PcM8cos&+psia&Sumofforcesiny~ction:Z~~e.-heiam-FPsfn&P.sh8-peas&}coe&coe&+csin&shcps&+yah&sh&-icos&)cos&+psh&cos&+psh8Fsin&coe&+psin&~&sh&+col(31)(32)(33)P~Pcoe&+psh8(34)hKHKG/CP41523C-32

PRESSURELOCKINGSUM'OFFORCES5c4'h,fQ.'I.h.Qca%Q.o+~4i~~%CW~qqC>wQ.++4F=StemForce(tension)FIGURE7P=PressureForce=DPxSeatAreaQ,=SeatReactionForce(calculatedusingRoark's)p,Q,=SeatFrictionForce,8=SeatAngleT=DiskHubTension<aNotethatthesumoftheforcesinthex~tionisdifferentthanfortheseatfactorcaseduetothehubtensionforceT.Consequently,theQ,valueisatypicallyamuchlowerportionofthePvalueunderpressurelochngthanitisfortheseatfactorcalculation.(ThisisthebenefitofusingRoark'sequationsforcalculatingtheseatloadincrease.)Therefore,thesumoftheforcesinthedirectionshouldbesolvedfordirectlyfromthefreebodydiagramabove,asfollows:PPzFpQ,esS-Psbdl+Qp-in8:.FqJpcos8-Iin8)+Mn8(35)ThefirsttermintheequationaboveisthepressurelockingloadtermintheComEdmethodology.ThesecondtermintheequationaboveistheForreversepistoneffectterm~intheComEdmethodology.TheComEdmethodaddsthesetwotermstothestaticunseatingloadandthensubtractsthestemrejectionloadtogetthepredictedunseatingloadunderpressurelockingconditions(37)Ratherthanusetheseequations,theNUREGmethodappliestheopenseatfactortotheQ,value.Becauseoftherelationshipinequation37below,theNUREGmethodsubstantiallyunderpredictstheverticalpressureforceportionoftherequiredthrust.Qa<Pcos8/(cos8+psin8)3C-33NVREG/CP4152 I xvr.REHaMNCESC-K44'0<tg.~b.)-oa'WR,<th.~~+~pm'nqqC+<c4C2Young,W.C.,1989,SixthEditionofRoark'sFormulasforStressandStrain,McGraw-HillInc.n2.MPRCalculations101-013-1,"EffectofBonnetPressureonDisctoSeatContactLoad",dated3/23/95;and101-013-4,"EstimateofValveUnseatingForceasFunctionofBonnetPressure",dated3/23/95.3.ElectricPowerResearchInstitute,NuclearMaintenanceApplicationsCenter,1990,ApplicationGuideForMotor-OperatedValvesinNuclearPowerPlants,EPRI/NMACReportNP-6660-D,March.4.Smith,D.E.,1994,"CalculationtoPredicttheRequiredThrusttoOpenaFlexibleWedgeGateValveSubjectedtoPressureLocking",ProceedingsoftheWorkshoponGateValvePressureLockingand7hennalBinding,NUREG/CP-0146,July1995.NUREG/CP41523C-34

gc+So~6lQhe@-~4~y~+P~)w6l<W12,GATEVALVETYPE,GEOMETRY,ANDITSEFFECTONOPEMNGANDCLOSINGTHRUSTSTherearefivedifferenttypesofgatevalvesthatcovermostoftheapplicationsinnuclearpowerplantsintheUnitedStates.ThekeyfeaturesofthesedesignsareshowninFigure2.1.Variationsinthemostcommonlyusedgatevalvesincludesolid,flexible,andsplitgates(Figure2.1a).ThetwotypesofparallelexpandingwedgegatesshowninFigure2.1barealsoused,buttheirpopulationissmaller.ParallelslidinggatevalvesshowninFigure2.1carerelativelyuncommonintheUnitedStates,butarewidelyusedinEuropeannuclearpowerplants.TheadvantagesanddisadvantagesofvariousdesignfeaturesforthesevalvesarediscussedindetailinReference[13]FlexibleWedgeGateSolidWedgeGateSplitWedgeGateFigure2.1aConventionalSolidWedge,HexibleWedge,andSplitWedgeGateValvesAsshowninthesefigures,thedesignsvarysignificantlyingategeometries.Otherimportantvariationsthataffectperformancearerelatedtogateguidearrangementsandtheirdimensions;clearancesatcriticallocationsbetweengate,guides,andseats;seatcontactwidths;andmaterialsandsurfacefinishinthediscguideslidinginterfaces.Section2presentsthegatethrustrequirementsfortheabove-describedvariationsingategeometries.Thissectionalsoaddressesthepotentialfordisctiltingduringmid-travelduetofluidforcesacrossthedisc.Disctiltingcauseslocalizedloadingbetweenthediscandthedownstreamseat,orbetweenthediscandtheguides.Apreliminaryanalysisapproachtodeterminethelocalizedcontactstressesispresentedinthissectiontodeterminetheloadingseveritybaseduponvalvedesignandoperatingconditions. 0 Preliminaryanalysesoflocalizedcontactstressesbetweendiscandseatsaswellasdiscandguidesusedintypicalwedgegatevalvedesignsarepresentedinthissection.Thepreliminaryapproachpresentedhereneedsfurtheranalyticalrefinementandempiricalcorrelationstodevelopimprovedpredictivemodels.DetailedderivationsoftheequationssummarizedinthissectionareincludedinAppendicesA,B,andC.StomUpperWodgeUpstreamDiscDown-streamDiscLowerWedgeBodySogmentSeatStopPadFiguxe2.1bParallelExpandingGateValvesStemDiscRetalnlngPineDiscCarrierSeatPreloadSpringFigure2.1cParallelSlidingGateValve /I Nn~amCIvordgo('4~WakenAtn.i-~p~+~lWaqg2,l.StemThrustforSolid,Flexible,andSplitWodgeGateValves'IEventhoughtherearedifferencesintheperformanceofsolid,flexible,andsplitwedgegatevalvesasrelatedtotheirsensitivity,toexternalpipingloadsandthermalbinding[13],theequationsfortheirstemthrustrequirementsbaseduponfreebodyconsiderationsarethesame.Subsections2.1.1through2.1.2summarizethestemthrustrequirementstoIovercomeonlythedifferentialpressureloadacrossthedisc.Subsections2.1.3and2.1.4givethestemwedgingandunwedgingthrustrequirementstocloseandopenthegate,respectively.ThetotalstemthrustrequirementstocloseandoperithegateareprovidedinSection2.4,whichincludeothercomponentssuchasstempackingload,stemrejectionforce(alsoreferredtoasblowoutforceorpistoneff'ectforce),andstemandgateweight.2.1.1.Ciosinl,StemThrusttoOuereomeGateDi/7erentialPressureAsshowninSectionA.1.1ofAppendixA,thestemthrustatthegatetoovercomethediff'erentialpressureduringclosingcanbeexpressedas:F,=.F[cos6-@sine(Eq.2.1)FpFiguxeR2GateEquilibriumUnderhPLoadDuringClosingwhereFs=Fp=8=stemloadatgate,Ibdiscpressureloadduetoupstream/downstreamdifferentialpressure,lbhPx(effectiveseatarea)coefficientoffrictionbetweengateandseat1/2ofgatewedgeangle,deg'Thediscpressureload,Fp,istheproductofhPandseatareabasedoneffectivediscsealingdiameterasdiscussedfurtherinSection2.5.FromEquation2.1therelationshipbetweenthecommonly-usedtermdiscfactor(some-timescalledualuefactor)andcoefficientoffriction,p,canbederived:DiscFactor=cos8-psin8(Eq.2.la)For'ypicalwedgegatevalvesthatuseatotalwedgeangleofaround10degrees(or8=5')andanormalrangeofcoefficientsoffriction,thedifferencebetweenthediscfactorandthecoefficientoffrictionispracticallynegligible,asdiscussedinSection3.1.Thediscfactorcalculatedintheclosingdirectioncanbeasmuchas5percenthigherthanthecoefficientoffrictionfortypicalvaluesof8andpthatareencounteredinpractice. I'c 2.1.2.OpeningStemThrusttoOvercomeDiscDifferentialPressureAsderivedinSectionA.l.2ofAppendixA,stemthrustduringopeningofawedgediscagainstadifferentialpressureisgivenby:F=~Fcos6+Isin6(Eq.2.2)Fromthisonecanderivetheequivalencebetweenthediscfactorintheopeningdirectionandthecoefficientoffriction:DiscFactor=cos6+iLsin6(Eq.2.2a)FigureR3GateEquilibriumUnderdPLoadDuringOpeningThediscfactorintheopeningdirectionisslightlylessthanthecoefficientoffrictionfortypicalrangesofwedgeanglesandcoefficientsoffriction(within5percentofthecoefficientoffriction),asdiscussedinSection3.1.Asstatedearlier,thestemforcecalculatedinEquation2.1or2.2istheforcerequiredtoovercomethedifferentialpressureresistanceonly.2.1.3.StemWedgingLoad-ClosingThestemwedgingloadisrelatedtothenormalseatcontactforce,Fn,asshowninSectionA.1.3ofAppendixA:F,=2(sin6+pcos6)F(Eq,2.3)Figure2AGateEquilibriumunderWedgingLoadDuringClosingItshouldbenotedthatthisequationappliestothecasewhenthereisnodifferen'tialpressureacrossthegate.Whendifferentialpressureispresent,thestemforceFsinthisequationisthenetstemforceaftersubtractingthedifferentialpressureload.Insomecases,thelimitswitchinsteadofthetorqueswitchisusedtostopthedisctravelintheclosingdirection.Whereacceptablefromtheshut-offstandpoint,thisapproachcanbeusedtoreduce,andinsomecaseseliminate,thewedgingload,F. \ >1,4.StemUnwedgingLoad-OpeningQh%+-a.~(~F~~~~8~~wbgSectionA.l.4ofAppendixAshowsthattheunwedg-ingloadtoovercometheseatcontactforce,F,isgivenby:F=2(lLcos9-sin9)F(Eq.2.4)FnFigure2$GateEquilibriumunderUnwedgingLoadDuringOpeningTheseatcontactforce,F,thatistobeovercomedur-ingtheopeningcycleisdevelopedby(1)wedgingloadfromthepreviousclosingcycle,includinginertiaovershoot,(2)externalpipingloads,or(3)differentialthermaleffectsbetweenthevalvebodyanddisc.Section4providesananalyticalmethod-ologytopredictstemthrustduetoinertiaovershoot,andSection5discussesexternalpipeloadandther-maleffectsthatmayinfluencethenormalload,Fn.2.2.StemThrustforParaMExpandingGateValvesThisSubsection2.2summarizesthestemthrustrequirementsforclosingandopeningdirectionsforthetwotypesofparallelexpandinggatevalvesshowninFigure2.1b.Thesamestemthrustequationsapplytobothtypesofparallelexpandinggatevalvesshowninthisfigure.Thetypicalwedgean'gleusedinthethrough-conduittypeis15degrees,andforthedouble-disctypeis25degrees.Itshouldbenotedthatforcoefficientoffrictionof0.4Z(=tan25')orless,the25-degreeanglebetweenthewedgesurfaces(alsoreferredtoasbackangles)providesanon-lockingconditionbetweenthewedges.2.2.1.StemThrusttoOvercomeGateDifferentialPressure-ClosingandOpeningFnFyClosingOpeningHguxeRSGateEquilibriumUnderhPLoadDuringClosing/OpeningF-pF(Eq.2,5)wherep=coefficientoffrictionbetweenseatanddiscFpdiscpressureloadduetoupstream/downstreamdifferentialpressure,lb=hPx(effectiveseatarea)AsshowninSectionA.2.1ofAppendixA,thefollowingequationappliestobothclosingandopenihgstemthruststoovercomegatefrictionalforceduetohPload; (l4 ('iQ.i-ayoo~l20Ihw4-~~~~2.2.2.Stem7VedgingLoad-ClosingThestemwedgingloadforaparallelexpandinggatevalveisshowninSectionA.2.2ofAppendixAtobegivenby:sill6+pcos6Fsp+cos6-p'sin6(Eq.2.6)XFpFigure2.7GateEquilibriumUnderWedgingLoadDuringClosingwhere6Fncoefficientoffrictionbetweenseatanddisccoefficientoffrictionbetweenwedgefacesparallelgatetotalwedgeangle,degnormalforcebetweengateandseatduetowedging,lbsThis,equationmakesallowance'orthefactthatthecoefficientsoffrictionattheseat-to-discinterfacemaybedifferentthanthatatthewedgeinterface.TypicallytheseatfaceshaveafinersurfacefinishandareoverlaidwithStellitehard-facing,whereasthewedgefaceshavearoughersurfacefinishandarenothard-faced.Ifthecoefficientoffrictionattheseatfacesandthewedgefacesisassumedtobethesame,p'p,andthisequationreducestoFs=sin'61-li+2gcos6cos6-csin6Fn(Eq.2.6a)Equation2.6ashowsthatthestemloadisproportionaltotheseatcontactforce,Fn.2.2.3:StemUnwedgingLoad-OpeningThestemunwedgingloadtoovercometheseatcontactforce,Fn,foraparallelexpandinggatevalveisgivenby(referenceSectionA.2.3,AppendixA): 0

• a~kia.l-a~ia~S2c'l~s~+((pp'-1)sin8+(g+ll')cos6F(Eq.2.7)cos8~p'sin6I'orp=p',thisequationreducesto:sin6p-1+2pcos6F-Fncos6+psin6-(Eq.2.7a)Figure2.8GateEquiHbriumUnderUnwedgingLoadDuringOpeningAsdiscussedinSection2.1.4,theseatcontactforceFntobeovercomeisdeterminedbyaddingthewedgingforcefromthepreviousclosingcycletotheresultantforcefromexternalpipingloadsanddifferentialthermalexpansionloadsbetweenthebodyanddisc.42>.StemLoadsforParallelSlidingGateValves-ClosingandOpeningMostparallelslidinggatevalvesareequippedwithapreloadingspringtomaintainpropercontactandprovidealowpressuresealbetweenthediscandseats.AsshowninAppendixA,SectionA.3.1,therequiredstemthrusttoovercomedPandspringloadfrictioncanbeexpressedas:FI=2pF>>+pFpwhereF>>=discspringload,lbF>=hPx(eFectiveseatarea),lbs(Eq.2.8)<s<nA~F~PDawn~wpaWllP~~p4FigureR9GateEquBibriumUnderhPLoadDuringClosing Egl.0 A>COtao>sa>S><')>>>>>>>a:VCSa>uuS>u>>CO5>OS>>t>o>Orb>OS>>rsOnsiment:Af,auunittangentialbendingmoment;Q.~unitshearforce{forceperunitofc'Ircumferenciallength);E~modulusofelasticity(force:unitarea:vsPoisson'sratio;y~temperaturecoefftcientofexpansion{unitstrainperdegree);a~outerradius;b~innerradiusforannular>te;t~platethickness;r~radiallocationofquantitybeingevaluated;r,~radiallocationofunitlineloadingorstartofadistributedload.F,FOandG>tof'>aretheseveralfunctionsoftheradiallocationr.C>toCsareplateconstantsdependentupontheratioaib.L,toL>>areloadingnstantsdependentupontheratioair,.Whenusedassubscripts,randtrefertoradialandtangentialdirections,respectively.Whenusedasosc.a.b.andorefertoanevaluationofthequantitysubscriptedattheouteredge,inneredge,andtheposinonol'heloadingorstartof~I'oading.respectively.Whenusedasasubscript,rreferstoanevaluationofthequantitysubscripted'atthecenteroftheplate.f'(llsareasar>cia(edwiththeseveralquantitiesinthefollowingmanner:Deflectionsvandvoarepositiveupward:slopes()2nd84arepositivecneflectio>>lincreasespositivelyasrincreases;moments/)f~Ill>.>>mlIfarepositivewhencreatingcompressiononthetopsurface;andthesrforceQisp>sitivewhenactingupwardontheinneredgeofagivenannularsectionBc>>di>>gs(recsescanbefoundfromthemoments/IfrandAfrbytheexpreani>>r>o=6M/t2.TheplateconstantD=Etal)2{)-r).Thesingularityictionbrackets()indicatethattheexpressioncontainedwithinthebracketsmustbeequatedtoserounlessr)ro,afterwhichtheyareuestedanyotherbrackets.NotethatQa,Q,M,andMarereactions,notloads.Theyexistonlywhennecessaryedgerestraintsareprovided.rralPl>>rfssn<2inandGonuan>>(orSolidandAnnularCircularPla>caulOOcn<n0(>>>00>>>>nrb>Irtrb>>=--I.-+-p--jLbrj.-,-(-'.)'("*'-')]=.([()']'"'()Ifbrl=-I(l+rl-+(I-r)-j2bJ=-'.[-(-:)']=-'[(-')'-i+li.-,']IIrbK=-(I-r)---2Lb.J=2[I++ll->(-)]=-',I-""'-'.."t'-H'9I+rbrI-~I~biIn+2rb4Lb~Jn--.'['-(-.')("*'-;)]--:.([(-.')'"]-:.(-.')'-)IfbrlC>>u[(I+r)+(Ir)2~bJn--,'[-(-.')']2,=-'[(-')'i+is-']C,-'(I-a)(-'--)2.--,'!+.+<i-.>(-')]n--.'{-"."-:--','[-(-.')'])h)I's'tAQOOQgC)h+4~k,b,a~+CPvq~Q'{af{-frsorIrjrrl'In-r-{-~)~rrIr,r2I=I-(-')(Io21-)]'-([(-")'")'-'.(-")*-)IfrlLs=[(I+rI+(IrlJ2[rro2i[I(')]2i,=-;[(-')-i+Ii.-']ICin(I-rsi2rs~ta=-[In.>+(I-r)(-'J2l'.=-{-"'"--'"['-(-")'))=-'.('(-")-(-)-(-)[*.(-)]"-;,}(r,(il-225--155(')225!(')I4AOO(rro){+si(-")'[s(-")+io]o-'}42rr(25-l25+225{-')-25()-"(-)-"(-)'["(-)'1"-:)'-['(-)-~(-)I-'],[lo-l5-+5(-)+52()(I+so)],[is-si-"+n(-")'-2(-")'-5(")'(2+iso')]-{I-='[i-(-")]-(-")[)+no..>i-'])'(:.)](-")'[I-(')ll+sa-)]<s.--,"{[(-')'+l]~-'+(-")'-I)<.-..>rlCaw-[(I+4)'+(I4)-](r-r)4r00,-,'[-(-"))<.-..>'r[(rlr]C,-f(.)-)+2)l(,,)4I2w-(I-r2)J(rr)2Ca>u-[I+~+(I-4)(-')J(rr)42[n--"{-".-'.-'.'[-(-")']}<-">'=-.'.(-~(-)'-'(-)'-~(-)'["(-)')"-;)<-">5<-225-'-(I-o'+IIii(-"))4.4OO(rr){+so(-')'fs(-')'+io]o-')rsC,(!22-2'5+225(')-25(')-"(-:)-"(-)'f"(-)']'-:.}'=I'['-(-)'-(-')*"-']<-">'(r-r)4r[Isol'+si(-')2(-')-5(')(I+Iso-))"--,'(.{'-(-ll-(-:)'["<">"-,'])<-">'>n~>>>>

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(Enclosure2consistsoftheDispositiontoCalculationNo.A10.1-AD-003,titled"PressureLockingEvaluationofMOVs."Enclosure2has13pages,~~whicharenumberedfrom1to13) 0 TNAGARAVMOHAWKNUCLEARENGINEERINGPeoe1INaxi)0'telLi(t'ti3uProject:NINEMILEPOINTNUCLEARSTATIONUnit(1,2or0=Both):~Discipline:+<<~~(Sub)System(s)~mPIndexNo.Tilem~f.cos,Uac.'(I('egl:-uKu-I('o~Wo<sCalcullttionNo.RevDispA,tOd'l-A5-OO~0tgIP,nginatorA,,q,ate/o~r~>>46c-~aM/rrAgCheckerDateKePS+CfirVXe+JOlO/lrql/9ChangeNo.ApproverAe~Date"'-SafetyClass:(SR/NSR/QXX):SupersededDocument(s):Q,om(NMPCAcceptance/DateDescnptionofChangehwpeetA'awiw~(a'R~~+o~.~~~~"t~~~'>""+I~'f4%.waifC,N'%(44~~~d'1RI'2~Pw~on5'7A/Q,ie%he.P~y'E~~g~py~ogrgb44E.0ve/LA'ti(5h,Q,'@~V~c(./~8'~~P$&Ou&7Al8AIVtC~<Id(~Agr"hrR,ups)%De~$0~4+0Qld0~4th~ce.pr~a,s.pV+o-77A4Pg~s'IIX+~$o4+P~i4~isCw%dasrte~md+4P<+02."r~'l$cs444s.(iXd1pobd+I<7esolutionl4,~X>ZI~~A,~~~~X(~+%~~ur.leC4W.hruS1'wf(v'~~g44K.44%o0e.4~~4I)~~>~~5"hOe5CVat>w44>gg,'ro,.i(o>uaPCrossReferenceChangels):tZ-eeW97-034onirmaoonequireeso:SeePage(s):inassuetatupieocationperationscceptance(APPIFIO/(/OII:+Pi(Ca(outa(/oo/Heidi:+d(dRead(Yea(I/'IAI:(dClEvaluationNumber(s):2Og3T0-70%'hrU~CopyofApplicabilityReviewAttached)Yes29%9fCAL-pP<<ops),Z5g+'oCÃ-V-4KeyWords:FooThrcg+/s(~ArWg2IIr9><<O7ComponentIDls)(AsshowninMEL):2.~Psmawa+A~gcgfgeWnVO(4-7~s~PvWoec'7Az~~p~wooc7n-+<T.ws~p+WD>4'7/3MMc/b-AG7((efaa0rSOSf0342lPage25NEP-DES-08Rev04 0 NiagaraMohawkPowerCorporationNMP2NuctearEngineeringCalculationCont.SheetOriginator/DateDno~'mQ~4Q~/cf/<~(>~Checker/DategVttIJrq/R<Page2ott3Ato.t.AD%03,Rev.01Disp.01AValveIDno:";"<<VP'"'IQVtGAReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pp.'=108ValveBonnetpressure(psig),Pbonn<<.=108'ownstreampressure(psig),Pdown0ValveDiskGeometry:hubradius,b:=3.375meanseatradius,Ia.'=3.91averaaediskthickness,~anhublength,L:=0.125seatangle,a'.=106:=-6=0.0872180t:=0.48ValveDiskMaterialProperties:modulusofelasticity,E'.=29400000OtherValveParameters:Poisson'sRatio,v.'=0.36rsr','2!r<.'/s.'.:..:2gieotValveFactorVF:=0.65ValveStemDiameter,Dstern.'=1.625StaticUnseatingThrustFpo9232(reference:Test¹25,70/6/94)r'/eference:N.":R-2'-Ot0)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,cos<6>1--sin(6)VFIt=0686treferencePrte,up+downAverageDPAcrossDisk,DPavgPbonnet-'IE\DiskStiffnesConstants,D:=212I-vIIIwhichgives,D=2.97710andgives,DPav<=54nndG:=E2(2+2I)G=1.131~10IbabbabGeometryFactors,C2'.=-I--1+2In-C3',=--+1In-+--I4ab4aaba1bC8:=-1+v+2a2C9'=--In-+-I--whichgives,C2=8.91910C3=3.96510C8=0.911C9=0.121COMEDPLEvaitjationlNPswp66aaa.mcdValveID:2SWP'MOV66Apage1 1t~, NiagaraMohawkPowerCorporationNMP2NuctearEngineeringCatctrlationCont.SheetOriginator/Date~~1~aeA8~Xfflt~t~7Checker/Date/dc'//elfvPage3oft'ttAto.t.AD4103,Rey,111Disp.01AAdditionalGeometrt/Factors,rp'.=b2421000L11'=-1+4--5--464aaa2rpa2+-ln-arp1L174421-v'0'0a1--1----'+(1+v)ln-4aarpwhichgives,L11=1.37810andL17=8.641.10MomentFactors,2DPavgaC9fMrb'.=---(a-r0)-Lr7C82abQb'a-r0)2bwhichgives,M,b=-8.373andQb=31.18Deflectionfrompressure/bending,4~=a'avgaybqŽrb'C2+QbC3-L11DDDwhichgives,ybq=-1.93710Deflectionfrompressure/shear,2arprpKsa'32'In1+'2'Ibab.2sa'vgasq'Gwhichgives,Ksa=-0.012andysq179610"Deflectionfrompressure/hubstretch,(2force(a-b)DPavgPforce'Lystretctt'abb2Ewhichgives,Pf=661.191andystre<ctt=-3.92810COMEDPLEvaluationlNPswp66aaa.mcdValveID:2SWP'MOV66Apage2 /0 NiagaraMohawkPowerCorporationNMP2NuclearEngineeringCalculahonCont.SheetOriginatorloate'Dc~>~>eQ~I~tW~fCheckedoate~+ii'><iqrtyvesPage4ofi3Ato.t.AD403.Rev.01Disp.01ATotalDeflectionduetopressure,AdditionalGeometerFactorsyq:=ybq+ysq+ystretchwhichgives,yq=-3.77110r.'=a0'pL3'.=-.4a22roaro+1ln-+--1aroap1+va1-vroL9'=--ln-+-.1--a2rp4awhichgives,L3=0andL9=0DeflectionfromseatloadIbending,w.'=1aswC2rpC9p3y.b.=L9--+L3whichgives,C8bbybw=-L83S10Deflectionfromseatload/shear,rprpKsa.'=-1.2In-aby'.=Ksawhichgives,atGKsa=-0.177ysw1'272'10DeflectionfromseatloadIhubcompression,L,-2na2ycompr'bEwhichgives,ycompr=TotalDeflectionfromunitseatload,yw:=ybw+ysw+'ycomprwhichgives,yw=-3.12210whichgives,Equilibriumcontactloaddistribution,yqwequilibrium'wLoadperseat=2na=296.797yqywequilibrium=12.081PressureLockingForce,COMEDPLEvaluationlNPswp66aaa.mcdValveID:2SWPMOV66Apage3

eNiagaraMohawkPowerCorporationNMP2NuclearEngineeringCatoutaoonCont.SheetOriginator/DateQ~<~~~lL,.~glrgtyqCheotterjoategvgy/rg/ggPagesot+AlO.t-AD403.Rev.01Disp.01AVqpreslock:=2na-'(it~os(8)-sin(8)).2whichgives,Fp,eslock=354.165YwPistonEffectForce,Pu'=0aun'n>>"pistoneffecttem'(bonnetatmwhichgives,Fpistoneffect223.986'ReversePistonEffect'orce,,IFeen[n'.=e(2FOonnetnpOownj]ein(8)TotalForceReuiredtoOvercomePressureLockin,whichgives,Fvert452088FtotI:=Fpreslock+Fpo+Fvert-"pisto~effectwhichgives,,Ftotal=9.81426710.ACTUATOFtCAPAGILlTYtActuatorNodei/Slzet&fotorTorqueOutput:GearRatio:ApplicationFactor:PulloutENciencytReducedVoltage:TorqueOufput:StemFactor;ThtustCapat3llityt~TQoutTHcap:=-SfTQout:=TQmRVOGRAfEff=8MB-00-1$TQm'=14.74OGR:=41.0Af:=0.9Eff:=0.4RV:=0.8838TQout=169.939Sf'=0.016407THcap=1.03610ft-Ibsft-IbslbsiVOTErRVlSSQUARE/FACTUATQRISAC.ENHANCEDPRESSURELQCKtNGNETHQDQLOGKKEI:='.20ThrustMargin:=THcap-F>~.KEIThrustMargin=-1.41910lbsARyaotConclusion:OpenThrustt0erginisnegative,thereforethisvalveandactuatorare-~44~overcomethetheoreticalpressuretorkingconditionsevaluated.COMEDPLEvaluationINPswp66aaa.mcdValveID:2SWP'MOV66Apage4 0 NiagaraMohawkPowerCorporationNMP2NuclearEngineeringCatculationCont.SheetOriginator/Date422~>~y~A~gtgg(qyChecker/Dateaf/r4/4oPagetc2otl3A10.1.AD403.Rev.01Disp.01AValveIDno:282tV!'MOVE:~AReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPIJTS:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pp.'=108ValveBonnetpressure(psig),Pbonnet108Downstreampressure(psig),Pdown0ValveDiskGeometry:hubradius,b:=1.25hublength,L:=0.25meanseatradius,a'.=1.88averaaediskthickness,t:=0.626axseatangle,a'.=10e:=-e=0.0872180ValveDiskMaterialProperties:modulusofelasticity,E:=29400000OtherValveParameters:ValveStemDiameter,Dstern.'=1.375ValveFactorVF.'=IPoisson'sRatio,v'.=0.3ejshair'Ipkij)ojetx'taticUnseatingThrust,Fpo'.=4056(reference:Test¹8,5/17/98)(je/erence:NER-Bk0$0)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,0cos(e)It:=--sin(e)1VFIt=1091treferee::eft3AverageDPAcrossDisk,DiskStiffnesConstants,gives,nndG:=E2(1+v)up+downavg'onnet2Et121-vDPayg54whichgives,D=6.60510andG=1.13110GeometryFactors,C2.'=-I--1+2In-C3'.=--+IIn-+--I1ba,bbab4ab'4aaab2C8'.=-1+v+(I-v)~-2a2C9:=--In-+-I--whichgives,C2=0.049C8=0.805C3=5.09310C9=0.241COMEDPLEvaluationlNPswp67aaa.mcdValveID:2SWP'MOV67Apage1 II, NiagaraMohawkPowerCorporationNMP2NuctearEngineeringCalcutationCont.SheetOriginator/DateQ~,~~4~/VlyleapChecker/Date'IX4u]el~~Page'7otIPAt0.t-AD%03.Rev.01Disp.01AAdd/'tionatGeometr3/Factors,'p'.=b~I64242fprprpI+4--5--4-aaa2fp2y-In-arpIL17442.I-vP0aI+(I+v)In-4aarpwhichgives,L11=4.48110andMomentFactors,2DPavgaC9lM~b'.=---(a-r0)-L~rcg2abL17=0.046ob:=-'"'(*-0*)2bwhichgives,Mrb--13.186andQb42.593Deflectionfrompressure/bending,aaavgaybq:=MrbC2+QbC3-L11DDDwhichgives,yh=-1.75210Deflectionfrompressure/shear,2arprpKsa'.32In--1+-~I-2In-bab2sa'vgat.owhichgives,Ksa=-0.078andysq=-2.0910Deflectionfrompressure/hubstretch,l2orce(a-b)DPavg-PforceLystretch'tb2Ewhichgives,Pforce334525andystretch=-2.89710COMEDPLEvaiuationlNPswp67aaa.mcdValveID:2SWP'MOV67Apage2 ll018lp NiagaraMohawkPowerCorporationNMP2NuclearEngineeringCatcutabonCont.SheetOriginaterlnateQss~lW~g'~/+f<0IO)CheokerrDategadN/err/WPage~ott3Ato.t.AD403.Rev.0tDisp.OtATotalDeflectionduetopressure,AdditionalGeometryFactorsyq'=ybq+ysq+ystretchhfchgivesyq=-4.13110rp.'=arpL3'.=-4a22roaro+1ln-+--1aroaroL9:=-.a2I+vaI-v0-ln-+-1--2rp4awhichgives,L3=0andL9=0DeflectionfromseatloadIbending,we1awC2p9y'bwDC8brpC3Lg--+L3,evhichgivssbybw=-1.46510DeflectionfromseatloadIshear,fprpKsa.'=-1.2ln-aby',=Ksawhichgives,atGKsa=-0.49ysw=-1.30110DeflectionfromseatloadIhubcompression,L,-2na2ycompr'=nbEwhichgives,compr102310TotalDeflectionfromunitseatload,yw:=ybw+ysw+ycomprwhichgives,yw=-2.86810Equilibriumcontactloaddistribution,wequilibrium'hichgivyqywyqLoadperseat=2na=170.165ywwequilibrium14'406PressureLockingForce,COMEDPLEvaiuationlNPswp67aaa.mcdValveID:2SWPMOV67Apage3 tl NiagaraMohawkPowerCorporationNMP2NuclearEngineeringCalculationCont.Sheetortginatorroate%+>~'toA.~/~(ry(yqcheckerroate~/vJe/~/~~PageIof17At0.t-AD403.Rev.OtDisp.ptAYqFIk'.=2tta(Itcos(e)-sin(e))2presocwwhichgives,FpreslockPistonEffectForce,P:=0aun2/pistoneffecttem'(bonnetatmwlIchgives,Fpistpneffect=160.368'ReversePistonEffect'orce,Fvert'.a~2Pbonnetupgownsin(e)whichgives,vert04TotalForceReuiredtoOvercomePressureLockin,Ftotal:=Fpreslock+Fpp+Fvert-Fpistpneffecwhichgives,Fto~=4.34047810ACTLrAWRCAPAGILITV'cfuetorIHodel/'ize:MotorTorqueOutput:GearRatio:ApplicationFactor:PulloutEfficiency."ReducedVoltage:TorqueOutput:8temFacfor:ThrustCapatv7ltrrr:TQoutTHcap'.=-SfTQout:=TQmRVOGRAfEffft-lbsft-Ibs=SM8-000-5TQm,'=5OGR:=57.0Af:=0.9/Eff:=0.4RVl=0.8816TQout=79.743Sf:=0.014263THcap=5.59110IbsItIOT'F;RtrIGSQUAREIFACTLIATORISAC.FWHAeCEOPRESSURELOCIr,'AVOurETHOaoLOOI"KEI:=1.20ThrustMargin'.=THcaP-FtotIKEIThrustMargin=382.299lbsConclusion:OpenThrustNerainisPositive.fhereforethisvalveandactuatorareIilrelyfoovercomethetheoreticalpressurelockingconrIIBonsevaluated.COMEDPLEvaluationlNPswp67aaa.mcdValveID:2SWP'MOV67Apage4

NiagaraMohawkPowerCorporationNMP2NtrotearEngineeringCatoulationCont.SheetohginalorloateQ~l~j'eAr~/Vlcglpfcheckerroate+tIcrIre/r9/OrrPagelOol\gAt0.t.AD403.Rev.01Disp.otAValveIDno:BSSVP>;"Ot/6TBReuired0eninForceDeternminationunderPressureLockinConditionsCOMEDMethodDESIGNINPUTS:DesignBasisConditionsattimeofPressureLockingEvent:Upstreampressure(psig),Pp.'=10SValveBonnetpressure(psig),Pbonn<<.'=10SDownstreampressure(psig),Pdown0ValveDiskGeometry:hubradius,b:=1.25meanseatradius,modulusofelasticity,E:=29400000Poisson'sRatio,v'.=0.3OtherValveParameters:a.'=1.88averaaediskthickness,t:=0.626arthublength,L:=0.25seatangle,ct'.=10e:=--e=0.0872180ValveDiskMaterialProperties:eishtirdi:-'..;tngieaValveFactorVF.'=IValveStemDiameter,Dstcm.'=1.375StaticUnseatingThrust,F~.'=2444(reference:Test¹13,5/26/9B)Ireference:NER-2'-Ot0)CALCULATIONS:Coefficientoffrictionbetweendiskandseat,p,.'=cos(e)I--sin(e)VFIt=1.091("eference="6;AverageDPAcrossDisk,DiskStiffnesConstants,gives,DPavg=54andG:=E2/1+v)up+downavg'onnet2Et12I-vwhichgives,D=6.60510andG=1.13110GeometryFactors,C2'.=-I--~I+2In-C3.'=--+Iln-+--IIba,bbab4ab'4aababCS:=-'+'+('-')2abI+vaI-vbC9'=--ln-+-I--a2b4awhichgives,C2=0.049C8=0.805C3=5.09310C9=0.241COMEDPLEvaluationlNPswp67baa.mcdValveID:2SWP'MOV678page1

NiagaraMohawkPowerCofgorationNMP2NooiearEngineeringCaioulationContSheeto'creereroarafcrreA~err(<+(rrceeeerccegutevb~)~oPagetiof12hA10.1.AO403,Rev.01Disp.01AAdditionalGeometry'actors,rp:-"bI642421'prpfp1~4--5--4aaa2fp2+-In-arpIL17442]yfpfpaI--I----I+(I+y)ln-4'at'pwhichgives,L11=4481.10'ndMomentFactors,L17=0.046Mfb:-"-2DPavgaC9~-.a-rp-L17C82'a'boh:=-'"'('-0')2bwhichgives,Mrb"13.186andQb=42593DeflectionfrompressureNending,4a'avgaybq:=MrbC2+QbC3-L11D,DDwhichgives,ybq=-1.75210DeflectionfrompressureIshear,2arpfpK:=-0.32In--Iy-~I-2In-sa'b2Km'DPavgaysq'=whichgives,Ksa=-0.078andysq=-2.0910Deflectionfrompressure/hubstretch,force'ecerch'tb.2Ewhichgives.p=334.525andystretch=COMEDPLEvaluationlNPswp67baa.mcdValveID:2SWP'MOV67Bpage2 hI0 NiagaraMohawkPowerCorporationNMP2NuctearEngineeringCahuiationCont.SheetOttgnator/DateWsem>>qual~(tt,gg9itrpyChecker/Datepelr/19/gQPage12ot1gA10.1.AD403,Rev.01Disp.otATotalDeflectionduetopressure,AdditionalGeometryFactorsyq'bq+ysq+ystretchwhichgives,yq=-4.13110rp.'=aL3.'"--.4a22'oa'o+1ln-'+--1arpa1'L9'=-.a21+va1vrp-ln-+-1-2rp4awhichgives,L3=0andL9=0DeflectionfromseatloadIbending,w.'=1swC3rccgr~C3ybw.=----Lg.-s.L3whichgives,DCsbbybw=-1.46510DeflectionfromseatloadIshear,roroKsa.'=-1.2In-abIaysw'satGwhichgives,Ksa=-0.49ysw=-1.30110Deflectionfromseatload/hubcompression,L2'tt'a2ycompr'tbEwhichgives,cpmr102310PTotalDeflectionfromunitseatload,yw'bw+ysw+ycomprwhichgives,yw2'868'10whichgives,Equilibriumcontactloaddistribution,qyequilibrium'wyqLoadperseat=2tta=170.165ywequilibriumPressureLockingForce,COMEDPLEvaluatlonlNPswp67baa.rncdValveID:2SWP'MOV67Bpage3

NiagaraMohawkPowerCorporationNMP2NuctearEngineeringCalculationCont.SheetOrtgtnatorlnateQep~~g>4~4ljPbPChecker/DaleXV4Vlr~l~zPager9ofl3At0.t.AD403.Rev.01Disp.otAFpreslock2rta-(p,cos(8)-sin(0))2YqWwhichgives,Fpreslock="PistonEffectForce,Pan:=02/ppistoneffecttem'(bonnetatmwhichgives,Fpistoneffect=160.368'ReversePistonEffect'orce,Fen'.=[ns(2pbonnetnp-psronss}]sin(8),ITotalForceReuiredoOvercomePressureLockin,whichgives,Fert=104.517Ftotal:=Fpreslock+'po+Fvert-Fpistoneffecwhichgives,F<<~=2.72847810ACTUATORCAPABILITYrActuatorNodelISize:MotorTorrfueOutput;GearRatio:ApplicationFactor:PulloutEfficiency:ReducedVoltage:TorqueOutput;SternFactor:TluustCapBbflityrTQoutTHcap'.=-SfTQout:=TQmRVOGRAfEff=Sl'f8-000-5TQm'=5OGR:=57.0Af'=0.9Eff:=0.4RV:=0.8825TQout=79.906Sf:=0.014263THcap=5.602103ft-lbsft-IbsIbsNOTE:RVISSQUAREIFACTUATORISAC.ENHANCEDPRESSURELOC/CNGMETHODOLOGY:,KEI:>>1.20ThrustMargin'=THcap-Fto~KEIThrustMargin=2.32810lbsConclusion:OpenThrustMarginlsposftivepthereforethisvalveandactuatorarelikelytoovercomethetheoreticalpressurelockingconditionsevaluated.COMEDPLEvaluationlNPswp67baa.mcdValveID:2SWP'MOV67Bpage4 I0N0}}