ML16127A492
| ML16127A492 | |
| Person / Time | |
|---|---|
| Site: | Three Mile Island  |
| Issue date: | 04/11/2016 |
| From: | Exelon Generation Co |
| To: | Office of Nuclear Reactor Regulation |
| Shared Package | |
| ML16127A520 | List:
|
| References | |
| TMI-16-035 | |
| Download: ML16127A492 (29) | |
Text
{{#Wiki_filter:10.-..-I.I.1.Ie 4.------_.----B-5.for.==r/8 VI.fJPt (capped cylinder), ,==0.3 A.-l for.==0 VI.fJPt (capped cylinder),*-...-...>--"--"OOLE SURFACE I o-*S.for.-3 r/B VS.{JPG (capped cylinder),*-0.3**ro.-..-.r-._-__-r-_---....... .....-....--.......--_T"/-. -..-=OUTER';,V"""".--_....-'-./""".....->--2. ...:;...--',.L""--.----... -"""--2. ... '-.2.".*.*1.0 1.2 1.4 Il 1.4-*_*1-L2 1.0./_.ouru//".,.MIDDLE--.....,-'-'-_.----_.-.1------...2///""".,.4.t---+---+_ ..-.-_.-............ '--._./.-'--f--t---+--+--+.-- P _.-.-'.-v.INNER SURFACE ._.I. ..-----2.o J.C-5..for.-r/4 VI.fJPo (capped cylinder),*-0.3 NOTE RIEP'ERENCE: "STATE OF STRIESS IN A CIRCULAR CYLINDRICAL SHELL WITH A CIRCULAR HOLE," WELDING RESEARCH COUNCIL au L LETIN 102, 1 Ie*.o..1.0E-s.for.-r/2 VI.fJPt (capped cylinder),*==0.3 t.v--'"---- .........-- .-- --Update-1 7/82 B:imNuclear 1MI Unit-1 Total Stress Concentration Factors for Given Loading Cases MIDDLI 5U,,'ACf I Ul 1.0..G-Sc at.-0 for Case III (interna'pressure),*==0.3F-s., at.-r/2 for Case II (extension case)vs.{Jpo, ,-0.3 o 10 1.4 Il"-._--12 1.0---1----....*_.-.1-!!IOOL[SURFACE..4...o.2-'--"-2.----4 t-+---+--I----i.p.5C.FIG-l Fig.5C-1 , a_cl It tr.'32.........,....,.211 C .-LII../2-1.4030-1....-2.4293 ...*-0./10./6 a./l0 2./6 1.4142'.*ula 7.1IM 7.2IM 4.7.0.8424 1.110I*..,..7.7141'.3642 6.8314 0.*23 1.7877 I.IOSI'.4107'.6211 1.1417 0.7184 2.M38I 2._26 2.94060 3.26287 3.81001 4.08940 4.17027 1.08367 1.82011 8.74228 7.88789 9.02300 10.12243.2.19372 2.29030 2.48768 2.71811 3.02513 3.38629 3.79024 4.23059 4.70107 1.71403 8.79472 7.91827 9.06741../8 2.33179 2.47978 2.87011 2.89212 3.13783 3.40128 3.87808 3.98608 4.26968 4.86482 5.48212 8.10374 8.72431*-0 2.84701 2.81100 3.03170 3.28670 3.66487 3.83488 4.11911 4.40201 4.87874 6.20121 6.88463 8.0S6I0 8.37120*-2.46986 2.86926 2.87286 3.08813 3.26013 3.41823 3.66&81 3.81961 3.81810 4.01661 4.18962 4.29120 4.31120 2.76064 2.14174 3.13210 3.30842 3.46133 3.61032 3.*716 3.72044 3.73868 3.86013 3.441&8 3.01080 2.81198 0.14142 0.21213 0.28284 0.36366 0.42426 0.49497 0.66688 0.83631 0.70710 0.84862 0.98194 1.13137 1.27271 0."14142 0.21213 0.28214 0.36366 0.424.0.4N1'7 0.66688 0.83831 0.70710 0.14862 0......1.13137 1.27271*-3../8 1.12040 0.80340 1.36627 0.81807 1.68750 0.83819 1.84227 0.88262 2.08948 0.88118 2.34032 0.91183 2.69828 0.16182 2.86882 0.186183.12823 1.02243 3.81078 1.10414 4.28678 1.20142 4.91210 1.31961 1.61731 1.48418 (middle.urface)NOTK ".TATK.TRKa.IN A CIRCUL.AR CYLINDRICAL aHKL.L.WITH A CIRCUL.AR HOLK."..KL.DI....RK.IEARCH COUNCIL aUL.L.KTIH loa.'Me.r v'Rt The.....0.,..t,e**caneentration factar Sc and the total A.tre..caneentration factor Sc are, re.pectively, defined by A large.t of<<(11, (I2)Sc-la,**t of<<(I 10, (I 20)(for fixed r,where N 1 0, ore the nGlftinal principalstre ..resultants and (110, (120 are the nOMinal flexural.tre..es for the shell uncIer the.0....loading but without the hole.N 1 and N 2 denote the principal.tre ..,e.ultant., (11 and 02 the principal stre**e.,e.pectively. The.t,e..caneentration factor is calculated a.a func tion af q,.1.34374 1.29180 1.29114 1.33988 1.42488 1.89818 1.87983 2.08800 2.17771 3.15842 3.81843 4.1501O-0.14117-0.43787-0.74414-1.01744-1.40112-1.77184-2.11817-2.18273-3.43817-4.3811I-1.40137-8.46127 0.48840 0.28087 0.07888-0.11723-0.30964-0.1008I-0.89263-0.88871-1.08337-1.48249 -1.88293-2.27291-2.83894*-../2 0.48812 0.44170 0.41483 0.37473 0.32403 0.28168 0.18814 0.011I1-0.11836-0.38071-o.eaea-1.03124*-../4 1.56884 1.86386 1.78710 1.90438 2.08304 2.24180 2.43144 2.86648 2.89277 3.42431 4.03612 4.72369 6.48676 1.08342 1.32121 1.17420 1.81.1 2.01720 2.21480 2.12821 2.711I7 3.201.3.82821 4.02201 4.317'77 1.79314 2.01190 2.23108 2."09 2.70142 2.93778 3.18071 3.43312 3.89754 4.27107 4.91382 6.83074 8.42C80 0.14142 0.21213 0.28284 0.35366 0.42426 0.49497 0.66668 0.83639 0.70710 0.84862 0.98194 1.13137 1.27271 0.14142 0.21213 0.28284 0.36366 0.42428 0.49497 0.66668 0.83831 0.70710 0.84862 0.98884 1.13137 1.27271 0.21213 0.28284 0.36366 0.42426 0.49497 0.66668 0.63131 0.70710 0.84862 0.18IN 1.13137 1.27211 IaimNuclea, TMI Unit-1 Update-1 7/82 p.5C.FIG-2 Stress Concentration Factor Variations for Different at Various Angles-Capped Cylinder Fig.5C-2 STRESS DISTRIBUTION AROUND OPENINGS IN CYLINDRICAL SHELLS o.1.0 2.0 OUTER (A)EXTENSION CASE L1KERKKEKER (11)ERINGEN, NAGHDI AND THIEL (9)LUR'E (1)SHEVLlAKOV AND ZIEGEL I (11)(8)PURE TORSION CASE 8 6:2III I I I,,/----0--HOUGHTON AND ROTHWELL (21)./l-0 DURELLI'ET AL'(19),,"/-----ERINGEN'ET AL'(9)" l-A FIRL FINITE*ELEMENT.."",..-.:..\P o 2 Sc*2.5[1+0.04 Rt 1 0.1 0.2 0.3 0." 0.5 0.6 0.7 0.8 0.9 1.0 (C)CAPPED CYLINDER UNDER INTERNAL PRESSURf laiI!I Nuclea, TMI Unit-1 Update-1 7/82 p.5C.FIG-3 Stress 0 istribution around Openings in Cylindrical Shells*Fig.5C-3 49.4l.30.30.4 CD CDCD@@fi OJ[]m OJ[1][g]13 14 15Z REFER&:NC£S: @@@@@@@@)@@dNODAL POINT[g]'"@ ITl ITJ[]OJ[Z][Z]2S7[g]P"N*.'..'T¥PSi: @@@@a " AJ...L\ []ITJ (§]E)@@rB WJ@@[ill S@@@jgQ@Ii§IQ-@(i@fii@2 r2Q 70.70.70.30.30.30.[ffiEJ Nuclea, Update-1 TMI Unit-1 7/82 Grid for Finite Element Analysis of Stresses Around Equipment Hatch in RCB p.5C.FIG-4 Fig.5C-4 STEFL<D STEEL LINER@REINFORCING STEELCONCRETE CD SJ:.w..LINER E.=30,000 KSI E,=30,000 KS'V'2=0.3 G,e: 11.301 KS'REINEQRCINQ E,:: 30,000 KSI E2=30,000 KSI V.2=O'12=0E.=+000 KS'E 2=4000 KSI V,t=0.15 Kil 612: 1140 KII 3-'.815 19.813 19.150....;,....,.-.........h"0**":.'"..'..*_.:-".'**4"'...-....*-0 d_4 58.4()3 A" t)A.&.0.315"...,".'.c(.., (.0.315 TypICAL SHELL (1'LAYERS)--.,'" ,......-t..-.(;\.':-..\!!: 4.000 0.187" SHELL TRANSITION 5 ..*.-., "":""'6----:';:":""""' .-*.--(4.000 2 ,.... .'_,"_A.._Q........-,......4 4.000 0.181 SHELLOpENING t4t.AYERS\ 8il!I NucIe8r TMI Unit-1 Update-1 7/82 Layer Thickness and Designation p.5C.FIG-5 Fig.5C-5 EXPERIMENTAL THEORETICAL VAN DICKE, ERINGEN lET ALI FINITE ELEMENT SOLUTION }d&2r 8il!INuclear TMI Unit-1 Update-1 7/82 p.5C.FIG-6 Member Stresses around Opening Edge (Vessel Subject to Internal Pressure)Fig.5C-& FINITE ELEMENT SOLUTION EXPERIMENTAL VAN DICKE, ERINGEN, lET ALI-123--t-+I'II.I II.I II/)//j/.///.//..,.".:;;io'/ d.:0 2 r I---+Outer surface Inner surface5 I I'i..II: I BimNuclea, TM'Unit-1 Update-1 7/82 p.5C.FIG-7 Surface Stresses around Opening Edge (Vessel Subject to Internal Pressure)Fig.5C-7 EX PERIMENTAL PHOTOELASTICITY HUGGENBERGER TENSOMET ER 0 FINITE ELEMENT SOLUTION------------------- 2r--f?;.-J.- a;8------------ (£.f 4---\\\\3---I\\I\\2 I\\I\"\-t--, ,-I OUTER SURFACE 0 1 2 4 5 6 sir ..r TMI Unit-1 Update-1 7/82 Hoop Stresses along Longitudinal Axis (Vessel Subject to Internal Pressure)p.5C.FIG-8 Fig.5e-8 EXPERIMENTAL PHOTOELASTICITY HUGGENBERGER TENSOMETER 0 FINITE ELEMENT SOLUTION-----------i fL as*---B----+---_=-=-=+/-J__-OUTER SURFACE-J W Z<(l.u..a o z w----..............----.-----0 3 4 5 6 5 r I I I I II J I I----#'fl---I ra:im Nuclear TMI Unit-1 Update-1 7/82 p.5C.FIG-9 Axial Stresses along Transverse Axis (Vessel Subject to Internal Pressure)Fig.5C-9 , I LECEND----FUlL FINITE-ELEMENT SOLuTION---EXPERlllIENTAL --*-THEORETICAL------FINITE*ELEMENT (TRIANCULAR EL fMfNTSI I(IN.ISO-.._-.........-...........
..............................
.....,.....,o-- ...... 3 so I I I I____ ..r TMI Unit-1 Update-1 7/82 p.5C.FIG-l0 Hoop Stress-Resultant NO along Symmetry Axes (Test problem)Fig.5C-l 0 SECTION WHERE THE ARE IDENTIFIED AS FOLLOWS: r o=JI'-2" t: 84-*t'=VARIABLE LEAsT RAf)IUS OF DRAPEO TENooNS P=RADIAL TENDON FORCE lffim Nuclear 1MI Unit-1 Effect of Tendon Curvature p.5C.FIG-ll Update-1 7/82 Fig.5C-ll N 0 0'-\.j:)o,r...':;'cc,*S L::l6$c-J!I IS."-I .!!.I 1.'_-J!J-7." r-_,**- Z.",-..,---;Z**-2W--4-'tC--l r--U*_14.<<-...-A-i-11.--144" r-44 I(!!!.J.!!J--II" !!!J_-ZII--u.-!I!!J....-INC r!!!!Ir**---re:t..IOON Bi!l Nuclear 1MI Unit-1 Update-1 7/82 p.5C.FIG-12-l-JCOAI.80 No 0"-.Nodal Forces Due to Curvature of Tendons in Neighborhood of Opening Fig.5C-12 o a o o ('t)o q-a m o ou..o." It'.9 0.-en 10-',...J-zw R ,..a...,,:, Q!Z t.!1 uI';J-w n.tJ)0£uJ:J:r.-t-v zz w w 2'(l 0-a Ld-1Il U'l:J if)".l!J W w.Z..Z,0 u-I laI iLl"(,j Q.Z 0.J..J*3":L-40 (\J-... TEMp°,:-8il!lNuclear TMI Unit-1 Update-1 7/82 p.5C.FIG-13 Normal Winter Operating Temperature Gradient84" Thick Wall Near Equipment Opening Fig.5C-13 -"0/I0 4 F 100 90 ao 10 60 50 LLI 04 30 20'0 WINTER QPERATING TEMPERATURE GRADIENT+/-tW.Au..lliAa EQUIPMENT OPENINg 0 JO 20 gO 40 50 WALL THICI-<NfSS IN INCHES 0 4'.Q6-6<0 4?-6 C.-"&Q LINERrr., TMI Unit-1 Update-1 7/82 p.5C.FIG-14 Normal Winter Operating Temperature Gradient42" Thick Wall Near Equipment Opening Fig.5C-14 U)-;)uJ , 1:.U*oZ n'1V z-,.icJ)t.(J)uJ 0 2 teJ: y r-.-JQ Q 0" G ,-, 0"-'-......'.0 2 0 0e<lZTEMP OF;m!lNuclea, TMI Unit-1 Update-1 7/82 p.5C.FIG-15 Normal Winter Operating Temperature GradientTransition Wan Near Equipment Opening Fig.5C-15 o 6>l!JI---2-Z ld...........Q.y a 06 t-(!1 2 w...Q..:J.......(J 0(1)W lIlW'1 I U W QI!Z Q.zUI2 0<1>v\f)W..J Z 0.....J<-Cd'0...:r Q 0"-'.-(1).J U.J Uu.f-J: w0c-..<<"()*0 f1*i a 0 000 02 0{\Iat co\J w t\I--N 2-:J TEMP*F-B:iEl Nuclear 1MI Unit-1 Update-1 7/82 , p.5C.FIG-16 Winter Accident Temperature Gradient-84" Thick Wall Near Equipment Opening Fig.5C-16
GRADIENT-A2 11 THICK WALL EQUIPttfNT OpENING 50 40 gO 20 280 281'240 220 210 200 t80 160 140 120 tOO 80 60 40 20 0 0 10 WALL IN INCHES 0L#,3 N'E.5-.n-"-1_..P... _......... .._'_<:1_" ,_: __"......
- _'-I___,_._..
"1:3<:::;l.,*....*'*......*.0."0..-I lai!I Nuclear TM'Unit-1 Update-1 7/82 p.5C.FIG-17 Winter Accident Temperature Gradient-42" Thick Wall Near Equipment Opening Fig.5C-17 W,NT£R Ac.c.IOENT §RA.OlENT 2810 WAW-EgutPMENT OF';:NtNg 220 zoo 140 o o JO 20 30 40 30 WALL-NESS IN INC.HES 70 0375-" 1>..*A.'*;..',.'.'..'...t>>-:."*.<::)'.*I*",'.c:;:*..,*" ,..,)'*..-.:'$*,'.,.\.'4, r:ai!l Nuclear TMI Unit-l""A Update-1 7/82 p.5C.FIG-18 Winter Accident Temperature Gradient-Transition Wall Near Equipment Opening Fig.5C-18 INTERACTION DIAGRAM FOR AXIAL COMPRESSION/TENSION AN)BENDING 0.85tL Cc£c=0.OO3 a 0.85d Ploltic rCentroid"C M I I-I-REINFORCED CONCRETE*MEMBER STRAIN fy DIAGRAM£al=Ea SIMPLE BENDING DIAGRAM Mb (P (tenl ion)--Po Mo Mo INTERACTION DIAGRAM COMPRESSION AfoI)BENDING Po P (Compre..ion)Pb Po-t---.Ill _Mo INTERACTION DIAGRAM TENSION AND BENDING+Mo ta:im Nuclear TMI Unit-1 Update-1 7/82 p.5C.FIG-19 Interaction Diagram for Axial Compression/Tension and Bending Fig.5C-19
ACC'S§'SYMBOLS ELEM£NT*77<:>101 DIRECTION HOOP MERI DIONJtJ..1"=1000 IN*-k/lN. 1".100 I<.liN.-400-COMPRESSION 'YltJ.Update-1 7/82 (439C,JOfC) (4080,-85) BimNuclear TMI Unit-1 Equipment Access Interaction Diagram.flements 77&101+TENSION K,!IN.-+100+200-200+MU,Mc$ ..... +PU,NcI>p.5C.FIG-20 Fig.5C-20 19lJ'PMENT Acces9.SYMBOLS
- 66 o 100 HOOP MERIDIONAL SCALE;HOR.1-=1000 IN-KIlN.VERT.,":aIOO KIlN.-COMPQESSION KIlN.300 (-6220,-255)-M IN-KIlN-.....1-----4-'-----+1..---+-----9000 BOOO 7000 6000 Update-1 7/82 4000 (3600,-95)(3310 0)+M
, ta:il!I Nuclear TMI Unit-1 Equipment Access Interaction Diagram..Elements 66&100 300+TENSION KilN 100 200 200 2000 8000 4000 5000 (-5490,-242) PU1N¢ 84-Fig.5C-21.p.5C.FIG-21 EQUIPMENT ACCESS*o ELE.MENT S5DIRECTION HOOP DIONA..L SCALE: HOR ,...1000 IN-Kj1N.V£QT.,-.100 I<'/JN.-COMPRESSION 300*4000 M IN-I("/+*200 3000 4000 5000 7000 -235)8000 (-B270-145)-M'N.-k'/i",...84" 100 200 300+TENSION I<IIN Iai!I Nuclear TMI Unit-1 Equipment Access Interaction 0 iagram Elements 55&99 Update-1 7/82 p.5C.FIG-22 Fig.5C-22
j),RECTION
- 44 HOoP SCALE: HOR.,.=fOOO IN-KilN.VER"t I': tOO KIlN.-COMPRESSION KilN.300-MIN-KIlN.
+M IN-KIlN.*4000 3000 4000 7000 8000 9000 100 200 Equipment Access Interaction Diagram Element 44 Update-1 7/81-lai!J Nuclear TMI Unit-1 300+TENSION SHELL REFERENCE SuRI=ACe p.5C.FIG-23 Fig.5C-23 ACCES§SYMBOL G:L.EMENT DIRECTION*73 HOOP SCALe:: HOR.,tI.1000 IN.VERT.'".100 KilN.soo Update-1 7/82 4000 M IN-ty,,,,.BimNuclear 1MI Unit-1 Equipment Access Interaction Diagram Element 73 200 200 300+TE N S ION'Yit4 100---+-------+-1
tl----+-I 8000 7000 5000 4000 3000+PUJN¢*WI p.5C.FIG-24 Fig.5C-24 EgU'PMENT ACCE6S SYMBOLS*ELEMENT DIRECTION*74 HOOP SCALE: hOR.(: 1000 IN-KilN.VE;: '000 KJ IN.(-6220)-25 5)-COMPRESSION KIlN.roo (-8140,-145-M IN KilN.9000 8000 7000 PU,6000 5000 4000 3000 200 100 (3600,-95),00 300+TENSION
..r 1MI Unit-1 Update-1 7/82 p.5C.FIG-25 Equipment Access Interaction Diagram Element 74 Fig.5C-25 EQUIPMENT ACCE.SG SYMBOL e*ELEMENT MERIDIONAL M ERI 01 ONAL Update-1 7/82 2000+M .*(1500,-145),soo Equipment Access Interaction Diagram Elements 66&77[[i[J Nuclear'M.Unit-l 1000-COM PRESSION WIN.100 so ISO !S/IN.100.....1000 1500 (-2'02,-217)2000 3000+PU,N¢3500 4000 4500 SCALE: HOR.,".500 IN-VERT.I'taSO t<AN.sooo p.5C.FIG-26 Fig.5C-26 ..DIRECTION M£RIO,ONAL MER\O,ONAL Update-1 7/82 (1500,-145)[[il!]Nuclear TMI Unit-1 Equipment Access Interaction 0 iagram Elements 44&55-KI'N.50 100 50 150+TEN SION'00 (-2102)-211)HOR.1"=500 IN-KIlN*VERt50KilN. (-4510.-'31) +MIN-KIlN.* 84'p.5C.FIG-17 Fig.5C-27 t::.WUIPtv.lii\j -.f SYMBOb ELEMENt 01 RECTtON o*IA100 101 HOOP HOOP HoOP SCALE:III.1000 VERT: 1-.100 K'/,,,,,-Co MPRE6SION I</IN.300 4000 ,3000 2000 200 100 (-2102,-2'7)2000 3000 4000 5000-M IN-KIlN.*8000-+MU,M9 100 200+TENSlON K'IIN.£mmNuclea, TMI Unite'Equipment Access Interaction Diagram Elements 99, 100&101 Update-, 7/82 Fig.5C-28 p.5C.FIG-29 SYM.ABOUT t OUTSIDE ELEVAT10N VIEW EL. 7 IS ,VARIES 64-118 A.,.MATERIAL SPEC'F ICATION Ie-A516 SR.10 BiElNuclear TMI Unit-l Sheer Transfer Plates Update-1 7/82 Fig.5C-29 10.-..-I.I.1.Ie 4.------_.----B-5.for.==r/8 VI.fJPt (capped cylinder), ,==0.3 A.-l for.==0 VI.fJPt (capped cylinder),*-...-...>--"--"OOLE SURFACE I o-*S.for.-3 r/B VS.{JPG (capped cylinder),*-0.3**ro.-..-.r-._-__-r-_---....... .....-....--.......--_T"/-. -..-=OUTER';,V"""".--_....-'-./""".....->--2. ...:;...--',.L""--.----... -"""--2. ... '-.2.".*.*1.0 1.2 1.4 Il 1.4-*_*1-L2 1.0./_.ouru//".,.MIDDLE--.....,-'-'-_.----_.-.1------...2///""".,.4.t---+---+_ ..-.-_.-............ '--._./.-'--f--t---+--+--+.-- P _.-.-'.-v.INNER SURFACE ._.I. ..-----2.o J.C-5..for.-r/4 VI.fJPo (capped cylinder),*-0.3 NOTE RIEP'ERENCE: "STATE OF STRIESS IN A CIRCULAR CYLINDRICAL SHELL WITH A CIRCULAR HOLE," WELDING RESEARCH COUNCIL au L LETIN 102, 1 Ie*.o..1.0E-s.for.-r/2 VI.fJPt (capped cylinder),*==0.3 t.v--'"---- .........-- .-- --Update-1 7/82 B:imNuclear 1MI Unit-1 Total Stress Concentration Factors for Given Loading Cases MIDDLI 5U,,'ACf I Ul 1.0..G-Sc at.-0 for Case III (interna'pressure),*==0.3F-s., at.-r/2 for Case II (extension case)vs.{Jpo, ,-0.3 o 10 1.4 Il"-._--12 1.0---1----....*_.-.1-!!IOOL[SURFACE..4...o.2-'--"-2.----4 t-+---+--I----i.p.5C.FIG-l Fig.5C-1 , a_cl It tr.'32.........,....,.211 C .-LII../2-1.4030-1....-2.4293 ...*-0./10./6 a./l0 2./6 1.4142'.*ula 7.1IM 7.2IM 4.7.0.8424 1.110I*..,..7.7141'.3642 6.8314 0.*23 1.7877 I.IOSI'.4107'.6211 1.1417 0.7184 2.M38I 2._26 2.94060 3.26287 3.81001 4.08940 4.17027 1.08367 1.82011 8.74228 7.88789 9.02300 10.12243.2.19372 2.29030 2.48768 2.71811 3.02513 3.38629 3.79024 4.23059 4.70107 1.71403 8.79472 7.91827 9.06741../8 2.33179 2.47978 2.87011 2.89212 3.13783 3.40128 3.87808 3.98608 4.26968 4.86482 5.48212 8.10374 8.72431*-0 2.84701 2.81100 3.03170 3.28670 3.66487 3.83488 4.11911 4.40201 4.87874 6.20121 6.88463 8.0S6I0 8.37120*-2.46986 2.86926 2.87286 3.08813 3.26013 3.41823 3.66&81 3.81961 3.81810 4.01661 4.18962 4.29120 4.31120 2.76064 2.14174 3.13210 3.30842 3.46133 3.61032 3.*716 3.72044 3.73868 3.86013 3.441&8 3.01080 2.81198 0.14142 0.21213 0.28284 0.36366 0.42426 0.49497 0.66688 0.83631 0.70710 0.84862 0.98194 1.13137 1.27271 0."14142 0.21213 0.28214 0.36366 0.424.0.4N1'7 0.66688 0.83831 0.70710 0.14862 0......1.13137 1.27271*-3../8 1.12040 0.80340 1.36627 0.81807 1.68750 0.83819 1.84227 0.88262 2.08948 0.88118 2.34032 0.91183 2.69828 0.16182 2.86882 0.186183.12823 1.02243 3.81078 1.10414 4.28678 1.20142 4.91210 1.31961 1.61731 1.48418 (middle.urface)NOTK ".TATK.TRKa.IN A CIRCUL.AR CYLINDRICAL aHKL.L.WITH A CIRCUL.AR HOLK."..KL.DI....RK.IEARCH COUNCIL aUL.L.KTIH loa.'Me.r v'Rt The.....0.,..t,e**caneentration factar Sc and the total A.tre..caneentration factor Sc are, re.pectively, defined by A large.t of<<(11, (I2)Sc-la,**t of<<(I 10, (I 20)(for fixed r,where N 1 0, ore the nGlftinal principalstre ..resultants and (110, (120 are the nOMinal flexural.tre..es for the shell uncIer the.0....loading but without the hole.N 1 and N 2 denote the principal.tre ..,e.ultant., (11 and 02 the principal stre**e.,e.pectively. The.t,e..caneentration factor is calculated a.a func tion af q,.1.34374 1.29180 1.29114 1.33988 1.42488 1.89818 1.87983 2.08800 2.17771 3.15842 3.81843 4.1501O-0.14117-0.43787-0.74414-1.01744-1.40112-1.77184-2.11817-2.18273-3.43817-4.3811I-1.40137-8.46127 0.48840 0.28087 0.07888-0.11723-0.30964-0.1008I-0.89263-0.88871-1.08337-1.48249 -1.88293-2.27291-2.83894*-../2 0.48812 0.44170 0.41483 0.37473 0.32403 0.28168 0.18814 0.011I1-0.11836-0.38071-o.eaea-1.03124*-../4 1.56884 1.86386 1.78710 1.90438 2.08304 2.24180 2.43144 2.86648 2.89277 3.42431 4.03612 4.72369 6.48676 1.08342 1.32121 1.17420 1.81.1 2.01720 2.21480 2.12821 2.711I7 3.201.3.82821 4.02201 4.317'77 1.79314 2.01190 2.23108 2."09 2.70142 2.93778 3.18071 3.43312 3.89754 4.27107 4.91382 6.83074 8.42C80 0.14142 0.21213 0.28284 0.35366 0.42426 0.49497 0.66668 0.83639 0.70710 0.84862 0.98194 1.13137 1.27271 0.14142 0.21213 0.28284 0.36366 0.42428 0.49497 0.66668 0.83831 0.70710 0.84862 0.98884 1.13137 1.27271 0.21213 0.28284 0.36366 0.42426 0.49497 0.66668 0.63131 0.70710 0.84862 0.18IN 1.13137 1.27211 IaimNuclea, TMI Unit-1 Update-1 7/82 p.5C.FIG-2 Stress Concentration Factor Variations for Different at Various Angles-Capped Cylinder Fig.5C-2 STRESS DISTRIBUTION AROUND OPENINGS IN CYLINDRICAL SHELLS o.1.0 2.0 OUTER (A)EXTENSION CASE L1KERKKEKER (11)ERINGEN, NAGHDI AND THIEL (9)LUR'E (1)SHEVLlAKOV AND ZIEGEL I (11)(8)PURE TORSION CASE 8 6:2III I I I,,/----0--HOUGHTON AND ROTHWELL (21)./l-0 DURELLI'ET AL'(19),,"/-----ERINGEN'ET AL'(9)" l-A FIRL FINITE*ELEMENT.."",..-.:..\P o 2 Sc*2.5[1+0.04 Rt 1 0.1 0.2 0.3 0." 0.5 0.6 0.7 0.8 0.9 1.0 (C)CAPPED CYLINDER UNDER INTERNAL PRESSURf laiI!I Nuclea, TMI Unit-1 Update-1 7/82 p.5C.FIG-3 Stress 0 istribution around Openings in Cylindrical Shells*Fig.5C-3 49.4l.30.30.4 CD CDCD@@fi OJ[]m OJ[1][g]13 14 15Z REFER&:NC£S: @@@@@@@@)@@dNODAL POINT[g]'"@ ITl ITJ[]OJ[Z][Z]2S7[g]P"N*.'..'T¥PSi: @@@@a " AJ...L\ []ITJ (§]E)@@rB WJ@@[ill S@@@jgQ@Ii§IQ-@(i@fii@2 r2Q 70.70.70.30.30.30.[ffiEJ Nuclea, Update-1 TMI Unit-1 7/82 Grid for Finite Element Analysis of Stresses Around Equipment Hatch in RCB p.5C.FIG-4 Fig.5C-4 STEFL<D STEEL LINER@REINFORCING STEELCONCRETE CD SJ:.w..LINER E.=30,000 KSI E,=30,000 KS'V'2=0.3 G,e: 11.301 KS'REINEQRCINQ E,:: 30,000 KSI E2=30,000 KSI V.2=O'12=0E.=+000 KS'E 2=4000 KSI V,t=0.15 Kil 612: 1140 KII 3-'.815 19.813 19.150....;,....,.-.........h"0**":.'"..'..*_.:-".'**4"'...-....*-0 d_4 58.4()3 A" t)A.&.0.315"...,".'.c(.., (.0.315 TypICAL SHELL (1'LAYERS)--.,'" ,......-t..-.(;\.':-..\!!: 4.000 0.187" SHELL TRANSITION 5 ..*.-., "":""'6----:';:":""""' .-*.--(4.000 2 ,.... .'_,"_A.._Q........-,......4 4.000 0.181 SHELLOpENING t4t.AYERS\ 8il!I NucIe8r TMI Unit-1 Update-1 7/82 Layer Thickness and Designation p.5C.FIG-5 Fig.5C-5 EXPERIMENTAL THEORETICAL VAN DICKE, ERINGEN lET ALI FINITE ELEMENT SOLUTION }d&2r 8il!INuclear TMI Unit-1 Update-1 7/82 p.5C.FIG-6 Member Stresses around Opening Edge (Vessel Subject to Internal Pressure)Fig.5C-& FINITE ELEMENT SOLUTION EXPERIMENTAL VAN DICKE, ERINGEN, lET ALI-123--t-+I'II.I II.I II/)//j/.///.//..,.".:;;io'/ d.:0 2 r I---+Outer surface Inner surface5 I I'i..II: I BimNuclea, TM'Unit-1 Update-1 7/82 p.5C.FIG-7 Surface Stresses around Opening Edge (Vessel Subject to Internal Pressure)Fig.5C-7 EX PERIMENTAL PHOTOELASTICITY HUGGENBERGER TENSOMET ER 0 FINITE ELEMENT SOLUTION------------------- 2r--f?;.-J.- a;8------------ (£.f 4---\\\\3---I\\I\\2 I\\I\"\-t--, ,-I OUTER SURFACE 0 1 2 4 5 6 sir ..r TMI Unit-1 Update-1 7/82 Hoop Stresses along Longitudinal Axis (Vessel Subject to Internal Pressure)p.5C.FIG-8 Fig.5e-8 EXPERIMENTAL PHOTOELASTICITY HUGGENBERGER TENSOMETER 0 FINITE ELEMENT SOLUTION-----------i fL as*---B----+---_=-=-=+/-J__-OUTER SURFACE-J W Z<(l.u..a o z w----..............----.-----0 3 4 5 6 5 r I I I I II J I I----#'fl---I ra:im Nuclear TMI Unit-1 Update-1 7/82 p.5C.FIG-9 Axial Stresses along Transverse Axis (Vessel Subject to Internal Pressure)Fig.5C-9 , I LECEND----FUlL FINITE-ELEMENT SOLuTION---EXPERlllIENTAL --*-THEORETICAL------FINITE*ELEMENT (TRIANCULAR EL fMfNTSI I(IN.ISO-.._-.........-...........
..............................
.....,.....,o-- ...... 3 so I I I I____ ..r TMI Unit-1 Update-1 7/82 p.5C.FIG-l0 Hoop Stress-Resultant NO along Symmetry Axes (Test problem)Fig.5C-l 0 SECTION WHERE THE ARE IDENTIFIED AS FOLLOWS: r o=JI'-2" t: 84-*t'=VARIABLE LEAsT RAf)IUS OF DRAPEO TENooNS P=RADIAL TENDON FORCE lffim Nuclear 1MI Unit-1 Effect of Tendon Curvature p.5C.FIG-ll Update-1 7/82 Fig.5C-ll N 0 0'-\.j:)o,r...':;'cc,*S L::l6$c-J!I IS."-I .!!.I 1.'_-J!J-7." r-_,**- Z.",-..,---;Z**-2W--4-'tC--l r--U*_14.<<-...-A-i-11.--144" r-44 I(!!!.J.!!J--II" !!!J_-ZII--u.-!I!!J....-INC r!!!!Ir**---re:t..IOON Bi!l Nuclear 1MI Unit-1 Update-1 7/82 p.5C.FIG-12-l-JCOAI.80 No 0"-.Nodal Forces Due to Curvature of Tendons in Neighborhood of Opening Fig.5C-12 o a o o ('t)o q-a m o ou..o." It'.9 0.-en 10-',...J-zw R ,..a...,,:, Q!Z t.!1 uI';J-w n.tJ)0£uJ:J:r.-t-v zz w w 2'(l 0-a Ld-1Il U'l:J if)".l!J W w.Z..Z,0 u-I laI iLl"(,j Q.Z 0.J..J*3":L-40 (\J-... TEMp°,:-8il!lNuclear TMI Unit-1 Update-1 7/82 p.5C.FIG-13 Normal Winter Operating Temperature Gradient84" Thick Wall Near Equipment Opening Fig.5C-13 -"0/I0 4 F 100 90 ao 10 60 50 LLI 04 30 20'0 WINTER QPERATING TEMPERATURE GRADIENT+/-tW.Au..lliAa EQUIPMENT OPENINg 0 JO 20 gO 40 50 WALL THICI-<NfSS IN INCHES 0 4'.Q6-6<0 4?-6 C.-"&Q LINERrr., TMI Unit-1 Update-1 7/82 p.5C.FIG-14 Normal Winter Operating Temperature Gradient42" Thick Wall Near Equipment Opening Fig.5C-14 U)-;)uJ , 1:.U*oZ n'1V z-,.icJ)t.(J)uJ 0 2 teJ: y r-.-JQ Q 0" G ,-, 0"-'-......'.0 2 0 0e<lZTEMP OF;m!lNuclea, TMI Unit-1 Update-1 7/82 p.5C.FIG-15 Normal Winter Operating Temperature GradientTransition Wan Near Equipment Opening Fig.5C-15 o 6>l!JI---2-Z ld...........Q.y a 06 t-(!1 2 w...Q..:J.......(J 0(1)W lIlW'1 I U W QI!Z Q.zUI2 0<1>v\f)W..J Z 0.....J<-Cd'0...:r Q 0"-'.-(1).J U.J Uu.f-J: w0c-..<<"()*0 f1*i a 0 000 02 0{\Iat co\J w t\I--N 2-:J TEMP*F-B:iEl Nuclear 1MI Unit-1 Update-1 7/82 , p.5C.FIG-16 Winter Accident Temperature Gradient-84" Thick Wall Near Equipment Opening Fig.5C-16
GRADIENT-A2 11 THICK WALL EQUIPttfNT OpENING 50 40 gO 20 280 281'240 220 210 200 t80 160 140 120 tOO 80 60 40 20 0 0 10 WALL IN INCHES 0L#,3 N'E.5-.n-"-1_..P... _......... .._'_<:1_" ,_: __"......
- _'-I___,_._..
"1:3<:::;l.,*....*'*......*.0."0..-I lai!I Nuclear TM'Unit-1 Update-1 7/82 p.5C.FIG-17 Winter Accident Temperature Gradient-42" Thick Wall Near Equipment Opening Fig.5C-17 W,NT£R Ac.c.IOENT §RA.OlENT 2810 WAW-EgutPMENT OF';:NtNg 220 zoo 140 o o JO 20 30 40 30 WALL-NESS IN INC.HES 70 0375-" 1>..*A.'*;..',.'.'..'...t>>-:."*.<::)'.*I*",'.c:;:*..,*" ,..,)'*..-.:'$*,'.,.\.'4, r:ai!l Nuclear TMI Unit-l""A Update-1 7/82 p.5C.FIG-18 Winter Accident Temperature Gradient-Transition Wall Near Equipment Opening Fig.5C-18 INTERACTION DIAGRAM FOR AXIAL COMPRESSION/TENSION AN)BENDING 0.85tL Cc£c=0.OO3 a 0.85d Ploltic rCentroid"C M I I-I-REINFORCED CONCRETE*MEMBER STRAIN fy DIAGRAM£al=Ea SIMPLE BENDING DIAGRAM Mb (P (tenl ion)--Po Mo Mo INTERACTION DIAGRAM COMPRESSION AfoI)BENDING Po P (Compre..ion)Pb Po-t---.Ill _Mo INTERACTION DIAGRAM TENSION AND BENDING+Mo ta:im Nuclear TMI Unit-1 Update-1 7/82 p.5C.FIG-19 Interaction Diagram for Axial Compression/Tension and Bending Fig.5C-19
ACC'S§'SYMBOLS ELEM£NT*77<:>101 DIRECTION HOOP MERI DIONJtJ..1"=1000 IN*-k/lN. 1".100 I<.liN.-400-COMPRESSION 'YltJ.Update-1 7/82 (439C,JOfC) (4080,-85) BimNuclear TMI Unit-1 Equipment Access Interaction Diagram.flements 77&101+TENSION K,!IN.-+100+200-200+MU,Mc$ ..... +PU,NcI>p.5C.FIG-20 Fig.5C-20 19lJ'PMENT Acces9.SYMBOLS
- 66 o 100 HOOP MERIDIONAL SCALE;HOR.1-=1000 IN-KIlN.VERT.,":aIOO KIlN.-COMPQESSION KIlN.300 (-6220,-255)-M IN-KIlN-.....1-----4-'-----+1..---+-----9000 BOOO 7000 6000 Update-1 7/82 4000 (3600,-95)(3310 0)+M
, ta:il!I Nuclear TMI Unit-1 Equipment Access Interaction Diagram..Elements 66&100 300+TENSION KilN 100 200 200 2000 8000 4000 5000 (-5490,-242) PU1N¢ 84-Fig.5C-21.p.5C.FIG-21 EQUIPMENT ACCESS*o ELE.MENT S5DIRECTION HOOP DIONA..L SCALE: HOR ,...1000 IN-Kj1N.V£QT.,-.100 I<'/JN.-COMPRESSION 300*4000 M IN-I("/+*200 3000 4000 5000 7000 -235)8000 (-B270-145)-M'N.-k'/i",...84" 100 200 300+TENSION I<IIN Iai!I Nuclear TMI Unit-1 Equipment Access Interaction 0 iagram Elements 55&99 Update-1 7/82 p.5C.FIG-22 Fig.5C-22
j),RECTION
- 44 HOoP SCALE: HOR.,.=fOOO IN-KilN.VER"t I': tOO KIlN.-COMPRESSION KilN.300-MIN-KIlN.
+M IN-KIlN.*4000 3000 4000 7000 8000 9000 100 200 Equipment Access Interaction Diagram Element 44 Update-1 7/81-lai!J Nuclear TMI Unit-1 300+TENSION SHELL REFERENCE SuRI=ACe p.5C.FIG-23 Fig.5C-23 ACCES§SYMBOL G:L.EMENT DIRECTION*73 HOOP SCALe:: HOR.,tI.1000 IN.VERT.'".100 KilN.soo Update-1 7/82 4000 M IN-ty,,,,.BimNuclear 1MI Unit-1 Equipment Access Interaction Diagram Element 73 200 200 300+TE N S ION'Yit4 100---+-------+-1
tl----+-I 8000 7000 5000 4000 3000+PUJN¢*WI p.5C.FIG-24 Fig.5C-24 EgU'PMENT ACCE6S SYMBOLS*ELEMENT DIRECTION*74 HOOP SCALE: hOR.(: 1000 IN-KilN.VE;: '000 KJ IN.(-6220)-25 5)-COMPRESSION KIlN.roo (-8140,-145-M IN KilN.9000 8000 7000 PU,6000 5000 4000 3000 200 100 (3600,-95),00 300+TENSION
..r 1MI Unit-1 Update-1 7/82 p.5C.FIG-25 Equipment Access Interaction Diagram Element 74 Fig.5C-25 EQUIPMENT ACCE.SG SYMBOL e*ELEMENT MERIDIONAL M ERI 01 ONAL Update-1 7/82 2000+M .*(1500,-145),soo Equipment Access Interaction Diagram Elements 66&77[[i[J Nuclear'M.Unit-l 1000-COM PRESSION WIN.100 so ISO !S/IN.100.....1000 1500 (-2'02,-217)2000 3000+PU,N¢3500 4000 4500 SCALE: HOR.,".500 IN-VERT.I'taSO t<AN.sooo p.5C.FIG-26 Fig.5C-26 ..DIRECTION M£RIO,ONAL MER\O,ONAL Update-1 7/82 (1500,-145)[[il!]Nuclear TMI Unit-1 Equipment Access Interaction 0 iagram Elements 44&55-KI'N.50 100 50 150+TEN SION'00 (-2102)-211)HOR.1"=500 IN-KIlN*VERt50KilN. (-4510.-'31) +MIN-KIlN.* 84'p.5C.FIG-17 Fig.5C-27 t::.WUIPtv.lii\j -.f SYMBOb ELEMENt 01 RECTtON o*IA100 101 HOOP HOOP HoOP SCALE:III.1000 VERT: 1-.100 K'/,,,,,-Co MPRE6SION I</IN.300 4000 ,3000 2000 200 100 (-2102,-2'7)2000 3000 4000 5000-M IN-KIlN.*8000-+MU,M9 100 200+TENSlON K'IIN.£mmNuclea, TMI Unite'Equipment Access Interaction Diagram Elements 99, 100&101 Update-, 7/82 Fig.5C-28 p.5C.FIG-29 SYM.ABOUT t OUTSIDE ELEVAT10N VIEW EL. 7 IS ,VARIES 64-118 A.,.MATERIAL SPEC'F ICATION Ie-A516 SR.10 BiElNuclear TMI Unit-l Sheer Transfer Plates Update-1 7/82 Fig.5C-29}}