by; ~:~:;::~~in , .t~e · discussion of results , the moat critical stress intensity...

��

United States Nuclear Regulatory Commission Official Hearing Exhibit

In the Matter of: Entergy Nuclear Operations, Inc. (Indian Point Nuclear Generating Units 2 and 3)

ASLBP #: 07-858-03-LR-BD01 Docket #: 05000247 | 05000286 Exhibit #: Identified: Admitted: Withdrawn: Rejected: Stricken:

Other:

RIV00053B-00-BD01 10/15/201210/15/2012

, ,", r

,'~:., ", ~ . •.. . "':" : .' .':li .. , .... ~: ".,' , ,:;, .. ': : .... /: .. : .; .;~ .~ . ~;.-J :. ": .>; . fol1owlng .1e.ntIL) the · thick ' portion' of .theve.sel ·'." "

v •• treated ; .••.•.. cyU.nder. 'I, the 'tapered :'.por·tton:::w.. •. :·:~·); ,<, ;.\: .. "; . treated •• a.hOrt .up-reef'cylinder. ', atad the thin' ' portlon ;.~'·: ,::~: .; " of the veseel wall._ treated ; •• a ; ioft8"cyllnder~ ':!; ;'. : ' : : ."\: ' . '~,

,.. ; ' , '

l'be thermal .tre.8~~~re d'eterm~~d .:by; ~:~:;::~~in , .t~e.s ., ' '. method where 1t 1 •••• umed ,that"the :inaide surface of

, the vessel i •• t the, .... telllperature ' .s the reactor .' coolant and the mean · teIDperature of the . ahell remains at the steady state temperature. ' This method iscon.idered

'conservative. ' ·" '·

. The fatigue evaluation was made' on .. ,: cum~lative basia ' wbere superposition of all transients is . taken into

consideration. '

Discussion of Results ,

The moat critical stress intensity occurred ' for ' the steady 12S KIP side load and steady 125 'KIP vertical load. This stress intenaiey of 31.1 KSI occurred at the lower outside corner of the juncture of the pad to the vessel wall and compares favorably with the allowable of 35 KSI.

The highest raoge of streB. intensity occurred at the upper outside corner ·of the juncture of the, pad to vessel wall. The value of this range of stress intensity was 40.8 181 and compares favorably with the 3 Sm allowable of 69.9 1(81.

The fatigue evaluation revealed tbat the highest cumulative usage factor was 0:02 and oecurred at the upper outside corner of the juncture of the pad to vessel wall. This

, value is well below the allowable of 1.0.

" 8 .. Method of Analysis

Thennal, mechanical, and ' pres.ure ,8tre88es .were calculated at various locations on the pad and at , the; ve.s.l watl for the loads apee1f1ed ,1n refer.nc.'D~

Mechanical atres ••• vereeal~ul.:ted 'by tb~\~fle1Nre fOE1DU1.a, fOl" bending atre.s in a be_. pre.sure atre.a.a tHtre taken , from the analy.ll of the ves.el to bottom head juncture, and the~al atr •• a.a were determined by the conservative

. !, . •. . '~ . .· •. -~ ....• •. ~ .•. J

ift:o:.::.:k~:.::~:::·~~~!f~=.~~-~ • ,:, .. ·,;·~ '•et forth .in reference~/. Stre••••·,·diae~·t.o ~'tbe···:·cyclic· · • : .. · ·-:· :

:>. loacla were mul tipU.ed · by:';a, strea·s_: coneentrat'icm··:faccor. -~ . . . . ·where applicable aod·uaed-in a· fetlpe,:evaluat:S:O~• ·~' ·

. . . . . . - . ; . -: · ... ·. ·. ' .. . ~ .. ··.; ~ ...

of Results . : . .

. .'-'The maxi.Jnum average. prbnary stress, 'intensity 'for, che. ·• bottom head to shell juncture occur•· in the· cylindrical ·shell portion of the juncture. -1he value. of this

.. :. stress intensity ia 26•3 KSI an·d compares favorably ·.with the Stn value of 26~7 KSI •.

. _,. The highest range of stress intensity. for the operating · :; , transients occurred on the inside surface at.. the st.art

. of t.he hemispherical ah.r:ll. The value of this range of .>, stress intensity was 34 :1 UI and compares favorably with

•.'; 1"~·';'·"'·" ·'·''· .····.·'. the a llowab te of l Sm. •. 80 KSl.

· .. , ·'

The fatigue evaluation revealed that the highest cumulative usage factor was 0.003 and occurred on the inside surface at the start of the hemispherical shell.· This value is

. well be low the allowable of 1.0.

Method of Analysis

Stresses due to internal pressure .were determiped by means of a standard interaction analysis •. · For the purpose of this analysis, the actual •tructure was divided into the following elements: the cylindrical shell was treated as a long cylinder, the tapered portion of the cyli~drical shell. was treated as a short tapered cylinder, and the hemispherical section was treated aa a long spherical shell.

the thermal atresaee were determined by the akin atre•• method wheTe it 11 assumed that tbe iftaide surface of the vessel ia at the same temperature aa the reactor coolant and the mean tempeTature of the shell r ... tna at .. t:he Steady atate temper&tUI"It · ·· 'l'hf.e· m•thod: 11 COft.il.del"ed. eonserva t ive. -

The fatigue evaluation waa made on a cUmulative baa1a where superposition of all tranalenta is taken into consideration.

••

:·-·""'

RIV000053B Submitted: December 27, 2011

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iDto atre •• lftteft.ltle.aacl;CGlDpar.d';.lcb:·;th.~,.llo11able. ",,', ,"";;, ,j,;;~ .... t forth in referenc.-". Stte •••• ·:diiti~to~·'tbe'.':'c,.e~1c::: ::;~" -':', "".. :.~ .. ::.;. load. were multlplf.ecl' b1~· •.• cre.' •. , coaC_ti.t'lOD"·~fa:c:tor· '::' ",'" , : , .. ~~::;

,.:~el!'e .,pll.eable: and "U"d,'~,~,~:;,fa,~:~;~;~~~~~~~~t,::'><:'" :',:" " ~

. ,' .. , '." .:

",;' The DIIIximum average " ~~ry ~~re~',"f.Il~~~~itY:: ~or; ~he' , " , " bottom head to Ib.ll, juncture occur., in the'cylindri.cal

"shell portion of the Juncture. >,1'h. value, of this '-' ,'stress intensity i. 26.3 lCSl and compare I favorably

,with the Sm value of26~7 1CS1., '

,,/'The highest range'of .tress inten81ty"fol'_the'op.ratlng , ',,/,' transients occurred ora ,tbe I.nal.de, lurface aI:, the, start ",:",~ of tbe hemispherical ah.r,ll. DIe value'of tbis range, of

'::,.atress intensity wa., 34;1 al and CompAl'ea favorably witb ':'.1'''''''''';'''''':'';>:': -the allowabl.e of 3 Sm,'i.,80 ItSl.

',;';":The fatigue evaluation reVealed that the hlshe~t cumulative . :,:', usage factor wa. 0.003 and occurred Oft the inaide surface "" at the start of the hemi.pherical shell.' Thi. value' is

'.' , ::.' Well below the allowable of 1.0. ;l,f,.:,'i;;.;,,],jJ

Metbod of Analysis

Stresses due to' I.ntem.il't' pres.ure ,'were ,det~1:'1D1..ped by ~ana of 8 standard interaetlan analysi •• "POI' the purpose of

i ' tbis analyais, the act:ual ,tructure va. d:l.vl.d.ed into, the

.... ' .

following ele11l8nts: the cyU.ndrl.cal shell.a. treated as a long cylinder. the tapered portl.on of the cylindrical shell'was treated a. a' abort tapered'cyltftder. and the hemispherical section'wa. treated as a lona spherical shell.

The thermal .tre •••• w.re d.t.~tned by the akin stre •• meth.od where it tl •• aUMeI that the iftaide a_f.ce of the v ••• el. ia at tbe .... temper.tur ••• the r •• cto~ coolaat and the mean temperatul'e Of· the •• 11r_l".· .. c·· the. st.ady .tat. cetI,el"atur." '.:' 'l'hf.", •• tllocl:'l. ecmal.".~.d: conservative. . .... ' ";", ;" : <.:·<.i{· ,',>',

. . . . The fatigue evaluation va. made on. cimulative ba.ls where 8upt'rpoaition of all traft.lents ia taken into cons lderat ion.

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A;• Diacu••ion of le~~t.' ' . .' ::;,·.< ·~ :· .<: ; y;,;: ·.· · .. •···• ·,.· .· . ;::· The maxilnWD awrage . prt.ary ._.,raile :·:·atreas :intensity : ·

···:.·;::·for the bottOID head la ·26c.S1CSI when· taklns;·.tnto :. · . · .. · · ··· ... · · .. ·.consideration of. the·u.p.1at·~efficieacy.a· .. ::·~1hls'value. .. ·

compares favorably with the Slii .val\i.e:.of: 26.7,1CSt. :,: ,· .... · · . : .: . . . . _; . . .' .· ~ · .. ~. ' . . . . '

::.:· ;. At the location wbe.re the -inatr\llllentation penetrat:l~n is · · . .:-- attached to the bottOm head by .. the :J•weld. the maximum

·.·:.range of atreaa lntenalt·y ia· 55.2 lSI~<· 'nlla.·range of. . . . . . ·stress intensity ·occurs. on .the :inalcle ·surface and compares · ..

.. ·.-· . favorably with· the: allowable ·of 69.9 · KSl. ·. :"· . · · .. · •'• ,.. . . .•.

The fatigue. evaluation revealed that the h.ighest cumulative usage factor was 0.14 and occurred on the outside aurfa~e of the tube. This value compares favorably with the allowable of. 1.0. · · · ·· · ... · ..

Method of Analysii

An interaction analysis was performed by dividing the actual structure into the following analytical model: the bottom head waa treated as a perforated spherical shell with modified elastic conatanta-and the inatrumentation tube as a lona cylinder •. • The effects of the redundant& on the bottODl head were aaa\llled.to be' local only. It was assumed that for any condltion were th•re.is interference between the ·cube and bead,··.no bending at the weld can exist. Using meehauical. and thermal atresaes. from. this.· analysis, a fatigue evaluation was made for ~he J·weld •

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Ii:' Duc" •• iDn Of ... ~~t."·.'::;,'.<·~:'.<:; y;,;: .. " ..•...•. , .... . /' The 1IIAX1lnWII awrage. prt-arY·""raM;·:·.tre •• :intensity: .

.. ' :.';::. for the bottOID head is ·26.51CSI wbeo·taklna;··into:.· .... ' ........ . .. ', consideration of· th.·ll.....,t·~.fficieDcY.· .. >~1hls:v.lue. .. .

compare. favor.bly with the sm.valu.e:.of: 26.7;lCSt. :,:,' .. ' .. ' . : .:. . . . ,: . . .' " ~ " . ~" " ..,

::.:.;. At the location wbe'rethe . 11lltrUlllentatlon peftetrat:l~n ts ",/ attached to the bottOm head by .. the :J-weld. tbe maximum

'.·:.range of atress lnten.lt·,t.· 55.2 ISl~':' 1bi8.·range of. '. , .. ·stress intensity 'occurs, Oft .the :in.Lele· 8urface and compares· ..

...... . favorably with' the: allowable 'of 69.9' lSI.' . :"'. '. ',' ,'. '.' . . ,',

The fatigue' evaluation revealed tbat the h'ighest cumulative usage factor w.sO.14 and occurred on the outside 8urf.~e of tbe tube. This valUe compares favorablywlth the allowable of. 1.0. ..' '. .

......

Method of Analysii

An interaction analysis was performed by dividing the actual structure lnto the followinganalytlcal model: the bottom head wa. treated a. a perforated spherical shell with modified etasticcon.tant.·and tbeinatrumentation tube .s a lonl cylinder •. ' Tbe effect. of the redundant. on the bottODl headvere .'.\IID8d.to be'loealonly. It w •• assumed that for an, condition wereth.re.is interference between the 'tube .nd b.ad,".no bendin8 at the weld can exist. Using meehat\ieal. and thermal stres.e •. from· this" analysis, a fatigue evaluation vasmaele for ~he J-weld •

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~:A!S!.Iillli.E_ ~fl. '!J· ldli!. , . <,., _. ::; .. ;:.;'.:: ;A;. , " ..... ;. . . ~Jr.,:;:.:.;[,~, .. ASHE Bolter an,LPress'urfi :vesset:'~Codc··;c·:·sectfont:.rtl

. for•. Nllc t .. a r.·~~ ·~~~:t~:.;;t:.~ : :C:~?J~Yj' ' r;~:c:r~&!:i['~~/; Uoiler a'nd'-Pressure :Vcssal·C.ode/:·Section .'viii·.·.

· for tlnf i.red Pressure --Ve_ssels ··. · · . -' ·: ·: · . l • ;" ~·

:<·i~nta t i vt! su~·~~turai"I~l~ i~n: Sa~i·~:: foi:·R~~ct:·o~ :~>~-'-Prt~~unrr<· \INI~C is •and ·. rfi.rt~Ct fy :Asstlciatt>'d·. Cor;ii)~mt•ntl•"

· (l'n:·~:;-.u· i~:Pd, ·\~attor '(.;oolt.•d Systl•nis) PBl ~19fi7, · i;'.:.. Q,·ra~-~~.~'-'IH 'lfCl11lUD<'TCl' . . .

• ·_ ·~,;. T i 'liOSiwntw and .J. N •. Good i~r' ~·l1lt.~ory 0 r E t:.t ~ t. i ~,: l. t y '', ~kGrm.;-H il t, 19)14

S. T baustwnko am! S. \~o inowsky-Kl~ icgct.·, "1'1wot· y of Plat<·,.; aml ~lwlts' 1 ,, McCraw-Hi.tl, t.9lt0.

$. Tin.oslwnlc.o, ''Strcnt~t:lt nf.Nntc·t·lalc", Pat·r:s l and .\ !). Vnn Nostrand C(l,; ·Inc., tYr,r,

E. f. Bruhn, "Ana 1 ys is nrtd Design of A irp lant·

~tnH:l\tl"l'S 11 1 l9lt9

l'. G. Lawsont·W. J.· Cox, .,Mechanics of: t-tatttrials'', John , .. i t~·y ~~ Sons,· lnc. , · New· Ym.·k. l9l,7

lt. lL lL llt'Y\..'Ot>d, "Design by Photoelasticity'', ~h~pman lUll I it U t • Ltd. , . 19 52

R. !:: •. 1\.•tcrson~. 11Stress Concentration.Factor", John \~ih'y at"'d Sons. Inc., New York~ 1953

13. 'Wcldi.n,:~ r{escarch Council Bulletin No. 49, Si:.resscs in a ::lph~rical Vessel from.R.adial Loads Acting on· .

. a Ptpl', Stresses in· a· Sphcrlcal''.Vcssot from l::xtcrnal . Ho•1wnt s Acting o'' a ; P_ipc, '·:Influt.•ncc·, or·. a .R"':i.nforcing l'l\tl •Ill tl1t" SL\'~'IUUHI tn n Upht;,~lC!al·V08fH•l',umh~r ·.< ... l.nt·£.tl r.ocrdini~• 11 .0. Bijlaat"i.l• Aprlll9':>9. ·· · ...

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~~L::JlIi.£.~. ~·.irl.fJ. ~i!. '; :; •••.• Et.:.,t(~:;j·,:~<;;".::i0;1;f: ,:,'f:".~;;;,,:;-, .• :: .•. ', __ . _ ._ •. ASHE BoiLer and·,Pre8sur('·.·Vessel'~Cod(!'j,.1:S(fCt1ont·llI :- .:;' . .': ", . ' 1 "~ .. ~.,,:., .... 1,.", .:~::.,' .... ~.I~"~ •. ~., ~.' '" >, "',,:,,,.! for.: Nue: 1,.ar ~ V~s8e s .·.;:.~!1;;';'.::-: :~ .;:.'.~ :.;- '~1/"'4 ,.-.r :.:/, . .',:';',;.( .. ":. ; .. :".','; .• /; .. ,·t,,, :,·-'f. '.<" ...., ·!'i:~. : . :. '. ,.:. / ~ ... ~,.>,:: ... :.:~'" ";':l,.~·.; ::< ...... :?/; .. ;.;::,;': '.:~' .::</:~.; .. :.:,-::.:;.; .:\,>:'. \'.: .'. ";' .. :.,., ',:

ASME noiler' :a'rid" Pressure :Vcssel- :Code ~:::·:Se'ctioo.··.Vlll '.' " .. '. , '. '{or' nnf ired' Pressure ,.,ve.ssels "" ';' ...... ' ,.,:.:< ::. . . .. ,' .

.. :.:'" .. ,:: .'." .; .... : :.l:.,·, .. :" .. ,', '.'

, ",T~ntat'h/(! Sl;i·u<:tural:.I.k~~~gn.:~:Ba~i~:/for';·Re~~~'or;, . . ,.: ::.Prla~HHlr(' v(>t~f;ch 'and rfi.r(~ctly.~·AsSt)cii1t:(i·d·. COro'l?On(!nlf;' : >: (l'l'(: Ii l'm' b:t~\.l j "~a tc.-r·:t:oo It.'ll Syst('nis )'. PB 1. ., 19f.7 t' i;·.!.i.

:' O('r~l!'~~',WtH ';l(C .. illuI'lC:orcl' .' .

, • 'S. T~~u()s\wl\lt()and·.J. N" Govdi~rt!·'n~t.~ory of .. In;}~t.ici.ly'·, tofCGt~iU,,-HiU, 19~V4 .'

:.; S. '1" i!atJ~IlC.'l1ko and S, \~o lnowsky-Kl~ icgt' 1" • "TIWOl")r 0 f l)lat('s and ~\w 1 ls",. McCraw-tUll. t.9~c) ...•

J). l' i !l,oslwl\lto, .• IS t I"'cnl~th of, 'l-J..~ (:'('1" 1ft Ls" ,Par I: s l and .~, D. Vnn Nostrand C,l. ~'·lnc., 19';'")

J::. 1-'. Bruhn, "Analysit; o"d.l)c.sign o( Ail'plane: .' SlrlH:f\U'l·:-;'I, 19/.9

1'. G. Lawson,·W. J."·cOx,- ''Mechanics of;·t-tat",ri.tilS:", John ':it .. ·y I~: Sons, Inc.,' New'YOl'k, 19l,7'

:';'lt~ U. lL IIt'ywl")()l!, "D(!sign by ~()toE'lasticity".· ~lHlpman and II U t. Ltd., 1952 .

R • .1::. l~\!t:crson. "Stress Conc·entration.Factor", John \~iley and Sons, Inc.,.. 'NewYork~ 1.953

'W('ldi,n~~ r{escArch Council Bulletin' No. 49, Stresses .. in a SptlC.~rieal Vessel from.Radial Loads Act,in.; Oll' ,

'a l' tp(', Stresses. i.n· a' Sph~rlc:al'.Vcsse t . frott' .l::)(torna 1-t-lollwnt S Act i nil On'8 . p.tpo ,'·:Inf.lut.~nco:·of·. 8 .){~:{nfotc:it\g·. I'lhl ,U\ 111(' SI;\','lUJon in .n' ·th'ht"l~lC:.l' VoaarF,u'ndcr .... :< .. : " 1''','Lll J.UiI(H.uH, 1'.0.' Bi.lluard t Apr 11 1959 .. >: .... , .. ::: .. : .. '

••

. ,' ...

.: ... ·:. ~ . . ·.: .. ··

· ... •

t.Jc~lding Research· ::~u~cil ~~l~~~in' No, l07, Local Stresses _in Sphet·ical_an~ ·_cylindrical Sht> lis due .. to· Externa 1' · Load.ings -,' • ·1(. ·it"~ : \·J ichman, A. G. Hooper.:· and .:J' •.. L·.·. Hershon, Aug\lst l(j65

. . . . . . .. . . . ~ . ' ' . . ..

15. IL F. Langer,·. :'Applications of St~ess ·. · Cone en tr at ion Factors.,, · WAPD-BT -18

·16. Sampson,R. c., "Photoclastic Inv("stigaLi.on of Stress Distribution in a Perforated Hemi~whN'ical !lt'.nd. of Reduced TI1 ickness'' \·lestinghousr.: ~~~:S<:..:i:rcr. R~port 100FF996-R4

17. \,f. J. 0 1 Donne 11, ''The Effects of Loca 1 Flexib ll i L ::

on !'il:r(•sscs in a Structure", \oiAl'D(Ct:;) -170

te. J. t-1. t-lat:usz, W. J. O'Oonn<!ll, and lt. J. l~rdtac·, ''Lo<·al Fh•xibilitv L:!..lE:'ffici(!nl:S ror tlH~ Built in Ends o( Beams am( PlaU!s'', Paper No. uil-t.JA/PVP~(J, Transact i<ms of t!w ASm:

l'J. ih•sl.inghousi.! Equlpmcnt SfH?c. (,"762Lt5 il1lu o76514 _ ...... ~ ...... ~ ., . .-~

20. \.h•st:inghousc PAR 1 s


II) •

20 •

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~. _,' "._.',-:',: :<, .' ,t,:.,:,,: ,:: .. :,~::' : ':'" _~'_"

W(~ldin& R.ese~rc~'::~~~dtL-~~li~~iri':No';, 1,07:',-", _' -;,', Local Stresses ,in' Sphel'.lcal and',CyU,norlcal ", ~'he 11.s, due to' EXcernal;'Loaci'lngs ,':-K~" it'~; \-J lehman,' .' d. G. Hooper: .. " arid ,:;1 .", L,.,::'l-lershort ,:AugUst ,l~65

. . , . .-:. T:"·:;~'" ", "".\' ";-.,, }':" . :. .. .-.;:;:~ ..... ~

B. F. Langer, ::tAppiicati~nsof Se~ess' , Concentration Factors" ,·WAPD"BT-18

Sampson" R.C., "Photoclastic InV'<"stigalLon of ,Stress Distribution 'In a Perforated Hernl~ph(:rica1 U('Dd of Reduced TIl iekll{,ss" \1estingho\Jsl.:!~(~S(,· .. ;n:c{", R,,'port lOOFF996-k4 '

,,J. J. O'Donri~l1,'tTh~ Effects of Ln'Call:lex16iliv .. 011 !Hr('sscs in s SU'ucl:urc n, ' WA1)D(C~) -DO .

J. N. t-tst:usz J , W. J~ o 'Donn<..' 11, and k. J. t~rdtac·. "Lo('at Fl('xibilitv C,,'effici(.'Ot:s ror llul Built in

'ends or Bcams ancl'PloL(!S", Paper Nu. 6tJ-loJA/PVP-u. 'rrc:tnSLlclhms of lht.· AS~n::

\h'sl.innho\.1S~ EqulJ')m~nl SfH!C. (,'162/.5 '11lf..I t>76514 - .... : ... - ., .... _,

W(. S t in~j1ousc PAR IS

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·.APPENDIX A

DETAILED STRUCTURAL ANALYSIS

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," "", APPENDIX. A

DETAILED STIlUCTURALANALYSIS

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