Text

Computer Program Verification.
	ML18082A155
Person / Time
Site:	Salem
Issue date:	04/03/1980
From:	Lin Y, Nanjappa M; FRANKLIN INSTITUTE, Public Service Enterprise Group
To:	;
Shared Package
ML18082A154	List: ML18082A153; ML18082A155;
References
	NUDOCS 8004110500
	Download: ML18082A155 (261)
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COMPUTER PROGRAM VERIFICATION Comparison of NRC Benchmark Problems vs. PIPDYN II(R)

Comparison of PIPDYN II(R) vs. Various Other Programs Prepared by: Y.L.Lin - F.I.R.L.

M. Nanjappa - PSE&G

COMPARISON OF NRC VS. PIPDYN II BENCHMARK PROBLEMS This report contains the computer program verification of the following Benchmark problems supplied by NRC along with comparison of the results:

1. Benchmark Problem No. 1

2. Benchmark Problem No. 2

3. Benchmark Problem No. 323A

4. Benchmark Problem No. 803 The above problems were run by Franklin Research Center, Philadelphia on Pipdyn II and also by Public Service Piping Group on pre-processor-version of PIPDYN II. Both the FIRL analysis and the PS analysis matched close to the NRC results. However, the slight difference in results between FIRL analysis and PS analysis is due to difference in Modelling, use ofdifferent computers with different precisions and also a change in the version of the program

Also included in this report is the FIRL verification of PIPDYN II against theoretical calculation and various other commercial computer programs of public domain

INDEX NRC Benchmark Problem #1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A Benchmark Problem #2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . B Benchmark Problem #323A *..**.*....*.*******...*.*.***.***.*.. C Benchmark Problem #803 ................*...*.*...............* D FIRL Benchmark Problem Analysis E Summary of Comparisons ******.***.*****.***...*.******..**.*** F Computer Printout for Benchmark Problem #1 ..********.***.**** G Computer Printout for Benchmark Problem #2 .*.*.**.*..*.*.**** H Computer Printout for Benchmark Problem #323A *..*.**.******.. I Computer Printout for Benchmark Problem #803 ****.**..*..*..** J FIRL PIPDYN II Verification K PIPDYN vs. Crede's Problem (Also PIPESD)

PIPDYN vs. Ansys & Westdyn ) ..... * ........*. * . L PIPDYN vs. Yong's problem PSE&G Preprocessor - PIPDYN II Benchmark Problem Analysis M Summary of Comparisons ... ~ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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GRAND TOTlL 1 1 7~01:.+Ul l 1 11Z8E.+*10 1,o~llE+OI ll,i!l7t.+ui? 5 0 1119Et0l 2 1 0111:.+0Z l.76UF+Ol i?,b211t+oo l,bKbttOl d,i37l+OZ 11 1 2U7E+Ul leb5UEtOZ ELEMENT TYPE (J/U P I I' E . , I I I ELEMENT NUHtU::H PX(IJ VYll) Vlll) T*llJ HVll) Hl(I) P*(J) VY(J) YZ(J) T*CJ) ~V(J) .,UJJ JI l 5 Z I il I Z 5 Z I l . I

- HA~IMUH *l.H~UltOI b,!>JlbE*Ol*9,llUE+OO l.Qbot.+oz-z,1197EtUZ l 1 1!21:.tU2*1 0 UROF+Ol b 0 ~lbt*Ut*9 0 l]OE.+Oll l 1 ~0bl+OZ*d 1 5ZlE+uz I eOhE+OZ Y I J l 1 l l l 3 I l l l y HAXIMUH .11,1Q1f*Ol*J.ql1E*OI 8,]o5E*Ol*ll,ollOt.+u1-z.11zE+OI I, o i SltOZ*ll, l 97f .o I *] 1QI JI: *O I 6, Jn5t*O l *11,bllUt.+0 l'*l o'lllf+O I leOb5l+llZ Z I I I I I I l l I I l l I H611JMUH *6 1 0JIE+oo l,lJIE+ou 1 100IE+o1 1,711t.+u2*i!.llhi!E+OZ l 0 !~Jl+OZ*6 0 0]lf+OO l 1Zl1Et00 l 1 00IE+UI lolllt.+Ol*l,bll]EtllZ 1,cuJE+uz QRAND TOT*L l,Z7-ol+OI l,b5Zl+OU i!,UbbEtOI d,2]71:.+oz 11.zoll+OZ l,lb~llH02 i!,i?2bF.+OI l11b'5Z1:.+110 i!oOhHtDl 11 * .:'Slt.+Oi! ll, 1HllE+'IZ Z, 11!>9E tul lll"ENT TYPE (J/D PIP!:* I I I lL£1'E~T NUHl'l:)l PX( I) vY (I J VZl I) Tll (1) 1'1YlJ) MZll) l'll(C) VV(t) YZlC) 1111CJ HYlCJ .. zcc>

l I I I l l I l I J l IC I( 11All1'41Jl4 y l

2,J07t.+OI a,u22E*Ol*t.ZblE*OU l.9~bt+ot l,OlbE+OZ 1& 1 5l7E+Ol*Z,llU8E+OI lel&lf.+Ot*leZhlEtUU I J J l J II I J Z. l70f.+OZ 2.5112E+\ll 5,uau+uz l l I y 11AlllHU14 .. ,,.oquE*OI 1.uonE+ttU*Z1b5UE+DO*d,bllUt+~l 1 0 u!ISE+Ol l.~37E+Ol*Q 0 JJOE*OI l1lb5E+no-Z.b58l+UO 2.11111::+01 1 1 lU7£+ul*l177~E+~l l I I 1 I I l l l I I J I z HAlllHUH *l 1 lll'SE+OI 1.qzq[+Ol*Z.]Kll+Ou >.71lt+o2 l ,ql7Etll2 loS~St+UZ*9 0 970E+Oo 2.Zi?Dl+Ol*Z.lHlt+ou u 0 1191l+OZ loJlbl+Ul*l1J97t+Ol GRANO T0Tll Z 1 ~ZuE+OI z.JblE+OI 1.q1q1:.+ou u.ZJJE+Ol Z,llS9E+UZ Q 0 9111l+OZ i!,~711EtOI l 1 ~llE+Ol J,QlqE+DU 11 0 01&llE+Ol 8 1 b95EtUI b 1 obbf+UZ UE11t NT TYPE ll/U p l p E I I I ll£'41:.NT liUMttHI ~ 1)

I p1qJ1 llY(JJ vztJ1 TK(J) l'IV(J) HZ(J)

JI z I l I I l IC 11All1'4UH, *Z 0 llHtlll 1,15QE+Ol*1 1lblE+Oo 1 1 q7111:.+0Z*9 1 9'5~Et0l ll 0 20lt+o2 y d I J I J I V 11AICJHU'4 *b,J53l*OI l,lllUE+OU*lob5HE+OO l,qllbt.tol 11,IJIE+Ol*! 1 ~112t+OI l z I I I l l l MA~Jl4UM .q.ua'IE+OO l,l~BE*Ol*Z.JttlE+ou l.7i?7t+ol*l,8BOttUl**.SBbE+nz GRANO TOTAL 2,QllbE+OI l 1 725E+UI 3 0 q\9t:.+nu a,ZZbltOl Z,180Et0l o,1JSE+\12

Ell"'f.NT 1YI IC Px(IJ H&MtHUH VY(IJ p l p l z

vl(I) l h(IJ I

I I I l'IYll)

I

.. Z(IJ l *

l 1 JblE+UI 1.z~1E+~1*1.~57E+ou l 1¥111ltol*9 1 '159Et0l 4 0 ~01EtOi!*l 1 102ftlll

- Pll(CJ i! l

!IYll.1 2

v llC) ljUbUt+O\*lo~~J[tUU I

T*(C)

I HYlCJ I

~z1c>

1,11out+Ul*l,69Zt.+112.s,1u1E*OZ I

.*~

y II I J I J l I I J J J l 1 H&XIHUH *& 1 7tOt*OI 1 0 221E+oo-a 1 111qE+ou l,9a6ttol 11,l]IE+Ol*J.Q02E*OI ti,697E*OI l 1 0]bt.tOO*ll 0]114E*Oll l1blbt+~l*l,8t7E+ul*~,o7ZEtlll (

l l I I I l l I I I l I I l HAMtHUH *9,b\5t+uo l,JJllE+Ol*Z.9J~E+oo J 1 127t+Ol*l 1 61\0E+02*b,5n11~tOi! l,li!Of.*Ol l,98lf~~l*l.9J9E+oo l,bUlt+oz~J,571E+uz.~.7Ulll*OZ GMAND TOTAL Z,bJ"E+OI l 1'17Jf+ql ~ 1 7011E+OC a,li!bt+Ol i!,lftOE+OZ K,JJ5t+02 l,l7bE+OI J,lblE+u1 s.1obt+oo J,oOIE+uz 11,0Stlf+Ul l1117l*UJ ELf.Hf.~T TYPE (JIU P I I' l I I I llEt"ENT t.illMl\lM S)

VY(J) VZ(J) lK(J) MYlJ) "'l(J)

ttAlllHUH X l 11111t1t+o I I l z.~~11l*01*1 1 557E+Oo l I 5 0 i!bi!t+Ol*l l l 1 5ouE+02*b,401~~0i! c y I J J 1 I 1

z HA)l 1 HUH 1 1 *1lllE+oo o,9JlE*ql*Q 0 ]11Q!tOU*5 19lUE+OU*9 0 J]b[+Ol*11 13i!Ol90I I I l I l I l HAXJHUH I ,QJllltO\ 1,Ji!cE*~l-l1939EtOU 9.91Jl+Ql*Q,119E+o2-1.zo~t*OJ GAAt.10 TUT&l Z0i.111lt*UI ) 014JE+QI 5,JObE*OU l,l]Ul+Ul 5 011J7E+02 l 0 )ttUltOJ ELEMf.~T TYPE lJ/0 P I P l I I I PX( IJ VY (I) vz ll J Ull l 11V l I) ~1u11 Pll(J) VYlJ) VllJ) HlJ) .. Y(J) "'ZlJ)

HA111HUH IC I

Io *l'J8f.*O I 1 1 7ttbE+1111 J

z,77bEtOl i!

~.Zblt+ol l I I b,ll07E+Ol*2,50Uf.~uz 1 1 0118f.+O I 1,hbE+oo

] l l, 778f+OI 5,,blt+Ol I I 7 1 9511f+Ul*Z 1 8S7f.*~2 I

y l J J J l J I ] J J I J y Hl)lfHUH l .* 0J&1t.+llo ~.tiHt+oo s,ubJf.*Ot*5,910t+no b.Jzot.+01.11,JJbt~o1 l 0(l'JQf +OU 5,b]i!f.+OO 6 1 0hJt*Ul*5 1 ~10t*llO 7 0 8117f+Ul*Z 1086E*Ol, z I l l I l I l I l l I I l 11lllll'UH 1,'1711f.+OI 1.2115[+1111 1 111ZSE+OI 'l 09JJt+ol 1.zo9t.+01.11,119t+o2 l,916P'*01 J,Z8'!>>E+oo t 0425l+Ol 9,~JJE+ol 1,so1E+~1-~.1qzE*o2 GRANO TllTAL Z, .. Oi!HOI 7,llbf.+00 J.lllUE+OI l,IJ~t.tCJl l,JKuE+O] 5 0 Ql7t+Ol Z1 40i!F+Ol 7ell11E+tl0 l 1410f.+Ul l,l]llt+lli! loU7tE+uJ o,56ll*OZ EU:Mf.~*T TotPE (J/U p I P l I I I HEt1lNT NUHl\tl4 10)

Px 7t*OO 2 1 1tJ11E+Ul 5,i:hi!t+Ul l.Julltlll*J12li!E+6i!

l l I y I J l J I J l ] J J I J y "'lll IMUH lo *1lllf.*OIJ S 095JE*tJO ~.s1Jt-01-s.~1ut.+oo 1.t1qJf:*Ol*l,ona1:~02 l,UJllF*OO 5o95lt.*OO 6 0 53Jf.*Ol*So~IUt.*UU 9,)qllt+ul*l 1 JP9E*~i z I I I l l l I I I I l l l 1'1AllJMU14 1 ... nt.+01 J 0JlllE*IJO 1,11117!+01 9,ll:Ut.+Ol t 0 50IE+Ol*S,J9~t+02 l 0 1nM+Ol J,JbtC.oo l 0Qllll*UI 11,~Jlt*OI leJ9b[tUJ*b10~lf+Ui!

CiRANll T01AL a 0 110lf.~Ol 7 111Jd!l*OO J,QUE+OI 1. uot*(ll lollllE+OJ b,5U!E+OZ z,qozF.+ol 7 oll?i!E*OO J 0111t1E+Ol l1llllf.*UZ z,q771;+~J 1,111Sf+oz

P I P f .:!Bt.8 LUAll STAT IUM L~r:JnL c 1~c1.rMF ELP'P T l Lr. *1E'" T a*THEBS Sl t1Ul~

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Uo 11117<JOt *O I ,u*171ll*f.-* 1I ,11u10111:.-u1 D'I I
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.11. *IJ. *U, fl *O ,t111i.111ll:. *02 .ll'lll1ll1E.*'ll 1112 7 t* E *I' I el:l'llllll*E .. 02
, 11Jno1:.-o 1 .. o. *n, .. (J' c 7 -o 0 11j~J11t *OI I
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O , 11111111111:. *Ii 2 0 1:\IJllOI:~ ~11.! *'l
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, 111111 *111t. *112 **I: .... .! *U
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,111111001:.-02 1\'lllulll*Ol 0 111111r111E*112 *O *
O 1 ~(J. el) I il11127111:.-01
O ,11121111:-01 8 11lii?711E*nt *11, *O' 4
,l!'lllOOf.*02 *U II
O 8Qll 1JOl:. 0 U2 1 11111100E*"ii? *Oo
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6QLIU('l:."'Uii? ,tlQllOtlf*ll2 ,ll'lllQOt*02 .. u *.
O 0 lLtHENT LUAI> MUL T U 1 l lE Hll STMUC TURE c: 0 A R LOAD C'-U
0,000 *0,000 .. o.01111 .o,ooo
s .~
PR I '11 11' F u 1:.1 HUDI:. Ca *.. JLAH F Mt IHlt 11r. y P~.MJ 11()
NU>lllfQ f Hf *J'lt *1CY llfAl'lit.LJ (l.Vl.LlS/~H) l :.if l I
,su1qt.+uz ,1Uti!'t.*ol o l lllllt. +Ult
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ltunt.+ul ,l?~IE+Oi? .~11lt.*Ol l
Q ,Z'5lbl:+OJ ,*HIHEtoi! ,l*l11f.*O l
,iilr.t n+uJ 11lb3E+Oi! ,lllOZl*Ol
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0 1i!l'llil:.*Utl b07<il:.tUO
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l Q 1 l115UE*U2 ,'HIUl:*ll
Nlll"llflf 1Jf .. 1J111TS c SCALE F&CTI*~ Ill 11 lU(JU1lf+lll 0
INPUT SPl:.C fMtl"4 **
POINT PlMlllO VAL*lf l , 111<111l:*lll * ' 11'5111:. *'l
, z11,,uEa*ll * )till()~ +Ill i
77'5111:.tl*]
] 1 'HHl**E*.*l l Jl11uf.*t1l
77c,11~.tll]
"5
(>
1 1
Q\l"*E*(ll ll1111t::+uu 0 II IHI 11 f + 11 ]
o I l"llH~ + 111.1 0
111111f.+OU 0 tl l'ttl:.t*HI 7 1 e
1 JZ.1E+uu 1 7Utll1E+"1
'I ,i?uouE+uo ,R71 ot+o]
2'S1111E.+UO ,1'7lllf.t0]
I0 0 II , ]l]**EtUU 1 11uouE *111 CLUSTERltiG, ti '1[At.S l"UDI:. I CLlJSE Tll hi, *11 NUT, lo *t, *1 1 11 01
u 0 . A L t .., E N 1 s ' " ,,Y* ' A T l ll N S t
e 14 lJ NllUf '"*Ill Ii* l* t V* l* f.
~U11H[ll t-ltlMlll;;lf TMlNSLA1JIJ~ THAHSl.A T ll1;* THANSL.ATll.I"' ktJlATlt; HllTAlllJ"I Hill A1 llJ~
l TUUl.,, Z 0 lol~1JloOl q 1 i!b22Zt *il'I l,l~I ii!lE*llt b 1 ~J~ll'ftu1J] 5 1 b]l\2tlf*Uh "* '1'209i?t.*0]
? TU1AL,. Z,]Oi!~tll:."'01 '1 0 Zb2lll:.*Utl 2,il!SlltE*lll b 1 5111lllE.*O} ,.ttJCi2tlE*OI> b 0 l20Qlt*Ul 1 TUTAL 11 l 0 JOZ5nl*OI '1 0 ZbZi!Zt.*Ull 2,c!Slllf*OI b 1 5J'llllE*O! 5 0 b]"iii!8E*Ob b, 72092t.*OJ II TllUL,. z. J0;>';11t*UI <<> 0 lb2i!ll*Ull 2,ii!'SIZIE*Ol b,5J11111E .. 0:3 5 0 flJCiZllE*Ub ,,,721l'ilE*Ol
'5 TllTAL, 1 11 1 bllt)Gl*UI t,Uti77l*OJ 11 1 1H12JOE*lll 8 1 K5')97E*Oll t ,11 t5bt:: .. o~ l,ll)i!lll*03
,, TUTAL .. ll,fllM80t. .. UI CJ, "ltll1 ll:.*Oll 11 0 Clb2JIE*OI 5,2.,JlflE .. OS 2 1 1t91>tlli;*Ob
' * ' ' Jlllt*O:S
., TUTAL 11 G0 f>>tt1Jllt.*OI l ,82b711:.*UJ 11 0 11bi!.U[*Ol 8,8'lSl11t: .. uq loll15H*O~ l,llli!llE*Ol SI T11TAL00 Q. fl'" lllt.*111 z. Jt;l\lbl".*ll .J Al,llb]HZE .. ot "*"~59H. .. (ll~ 1.21n1E*oS l 1 1lltb1E*Oll Q TUTAl. 11 11 1 Clllil8l*UI 2 0 ]511Zbl:.*t1l 11,llb]UZE*OI 8 1 HS591t.*Oll t,21731E*05 I, 1l 8b1E*Oll 1n TUTAl. 11 11 1 bll!]llf*Ol 1,8Zb11t.*ll.J 11 1 ll02.511f*Ol 8*8'3'S91E:.,Oll l. ll 1 '5bE*U5 l, l I ]lut*OJ ll 'fUT*lto q.u1urnt.*Ol ". 76.!7 ll*llq 11,llbi?.SlE*OI 'J,i!'UlbE .. O~ 2.89QlllE°*Ob ' . ' l]ltlf*OJ 12 TUUL11 11,f>l"!lll:.*Ol I 18lb171:.*U.S 11 1 11bi!)Of*Ol 8 1 ll'l5'Ht:*Oll l 1 ll 1 SnE*O'S t,lll211l*Ol 11 TL1TAL 1 * '1,flil\Jfft.*OI 2 0 35 "ibt.*L* J ll 1 11b]l\2E*Ol P 1 1\S~91t. .. Oll 1.z1ntE*US t,118b7E*Oll TUTIL 11 *,*t8.S8E*O I ~.J~62bE .. oJ 11,llOJ1t2E*Dl 6 1 8S~91E.,Ol.I a.zn:stE*o'5 l .1l801E*Oll TUTAL 11 o, o, o, o, o,
~
11, TUTAL, 0 o, o. o, u. o. o, TUTAL 11 o, o. o. o. o. o.
T*JTll.,, o, n. o, o,
'" . I o* 0 .-
I I. I I .. , I . ~
It E S P II *1 SPl:t111UM tl1Ht9S l U H ~ U Nl N1 9
i!)
f11w Ul*t UHTH UUAP.E lllUfCTl*l14' T*tl lllUMtilP Of' THE HllUE "!IT11 TH!: llPGE~T BTfftltS, .C l"t YAL'll llF TtlA I SlHl S!t, If ~Eu11uH1:0, Tttl: l'lulll: RV Hlll*t 81Hl::t9t:::t fUH EACH t.AMTtt IJUAKE UlHECTlm.i, l*'l Hl!l'ILIANT ftlH [At*t I AHlH llllA"t. UIHECTJ1111, T.,t c;qa"U TUTAL llf' 111t h1HH EAIHtt lhJAKt. OlNECJIU1119 1 Ttil ~. 'ft UH 1. M[Hh9 11J JHl [AMTH IWAKE UJ lilCTlllN 1 )
P I t' E. I I I P~(I) ~Y(IJ VZ(I) TK(l) HVll) MZ(lJ P~(J) YY(J) VZlJ) lk(JJ MY(JJ ~zcJ> c JC ' l l l l l l l l ' l
MA~IMUM z,q1111:+oz 1,qqOl*Ull 1.oq)l*Oi b,~7lt.*Ol*S,l2qE+OJ t.l~bl:$0l z.~111r+o2 2,qqp1:-u11 l,UQ)t+Ol b.~1lt*Ol l.l~ll+02*l,)QOE*~J y 11 5 II II II ':> II llj II II II ') f y MAXTHUH *ll,llJOE*Ol l,lb2E*02*11lHHE*Ul*Z,li!a~*Ob J,Ob5f+00 ~.o~Jt~Ol*ll.llOOf*Ol J,abll*02*l,l88t*Ol*2,l2ll:*~b*l.8711E+U0*1,710f*~l l l l l l l 2 l 2 l l ti. l z HAXtMUH * .,.~,UE+Ol*l,"~if+n2-1,5oJE*QJ l,llR]l:+oo 5,q)QE*Q2*~.lJSl:+OJ*ll,b40F+OZ*l.Oft2~*~2*l.lljO)l*OJ 1.~Kll+Oo-a,519E*U~ lo7bQEtU2
GRANO TOTAL 5.S~OltOZ l 0 tt821:t**2 1 10Qjf+OZ a,blOt+oo 5,22Qf+OJ S,lJSttOJ S 0 ~SUFtOl t 1 08Zt+~2 a,oQ)ttOl a,b\Ot+oo Z,lSlt+uz lo7bQEtQl P I P E. I I I l:L£HENT llU118tH 2)
PVCI) VY(IJ VZll) TX(I) HYll) MZflJ PX(JJ VY[J) Y~(JJ T*lJ) MV(J) MZCJ)
I I ,l 1 l I t l I l l l. t
HAXIHUH Z,~7JttOZ l.,JQZE*"" 7,UUllEtOl b,l7ll 0 0l 2,15l!+Ol*l 1 )Q0t90) z,q73F+02 2 1 l9ll*Oll 7,HOUltOl b,~Tll*Ul 4,0UQ[+v)*lo5D2f*02 Y Q S II Q Q 5 Q * 'j II II II 'j Y HAKIMUH .a,31qf*Dl*l 0 7o7t*~l q,ul9E*"Z*l 0 lllt*ob*2.bl11Etoo.1.1Jotco1-11.11qF.Ol*2.707t*02 q,111qt*Ol*l.llll*Ob l,7o1E+~o 5,11J11f*Ol z z l l ~ l l z 2 ii l ti. l z ~AXJMU" .11.~~Qt+oz-1.ruut*~l*t,IKSt-01 t,ll8)t+ou-1,579[*0Z l,JbQttOZ*ll.b~9t+OZ*T.llllll~Ot*t.lRSt*~l l,~8Jt+00*7.3Ull:*Ol 11.ouZEtU)
GRl~D T01lL 5.SSZEtUZ 1,11111ltUl 7,tillllEtOl l,blOttoo 2.l~IE+OZ lG1bqt+02 5.552Ft02 7,711ut+oa 1.HllllltOl l,blOE+OU 11,0ij~f+UJ 11,olli!F.tl*J lLEMt~T 11~f (JIU P l P E I I I :u
~icIJ VYtl) VZtl) TA(IJ HYllJ HZ(lJ P*(J) VV(J) VZ(J) l*CJ> ~YlJJ ~zcJJ II l I l l l I l t l II Ml~tMUH *l,l2Hl+OO l,Jl8l*~2*bol6bEtOU*5.bOOt 0 o8 l,7Jblt0l 2,q1u~~dl*l,22Hft00 t.1ZHl*02*b.l8bf+OU*'),b00t*Ub*).bOOE+u1-o,o;u2t*~2 Y 5 5 II 'j II ~ 5 5 , II S Ii 5 y "'*tHUM -z.1101:-02 J,J611t*Ull tellb[*05 l,5)5t*I0*2.t7HE*05.'5.UJQE901~~.110F.Ol lolllllE*UQ l,2lbt*O!t l.Sl'it*IU 8,118Jt*~s-~.abll*"l z 2 l i l 2 2 l 2 l 2 l l z ~--JMUH *b,I07l+UO*U,b81t+oz bo!thOt*ou ~.b2lt*Ol*5,b56l+Ol-4.0U2t*ol*b,t07~+00*11,b87E+02 o.ShUEt~U qob2lt*02*lol02E*"~*l.o9ol*U6 GRANO TOTAL b.ZZ9lt00 u,~R7[+02 q,ol7l*Oo Q,b2ll*ol. 5,9l9lt0l u.ouzt*OJ b.lZQF+OO Uob~7l*02 9,0t1ttOO q,o2ll:*Ul 1.b~Ot+Ul S,5llE*ua ELEMtNT TYPE ()/0 P I P E I I I OJ PX(l) VY(I) VZll) TX(JJ "Vll) MlClJ Pi(J) VY(J) YllJ) Tk(J) MV(J) MZ(J)
X I I I l l l l I l I x "'*tMU~ -a.zZdEtOO*l,l9Jl*OZ b,IHbE+00*5,b02t*Ol*J,bOOE+Ol*~.su2t~o2*1.22~E+OU*t.29lt*02 bol8bltOU*'),bttZl*~8 ,,JJoEtOl l,ott6f*U2
'I ') ~ II '5 U 5 5 5 II !t II 5 Y HA*JMUM *Z 0 110t*02*l 0 JUqt.nu-1,2Jot*u'i l,53'5t*lU 8 0 llft)E*OS*S.11b]E~ot*l 0 1lOF.u02*1 1 )1111f*OU*l,2JbE*OS l,SJ5l*lO*Z,l7HE*U~*S,uJ4E*OI z 2 l l l l l l. 2 l z l l z HA~J~UM b,l07ltOO*U.o67l*U2 ~.5hUE+O*I q,bZl~*Ol*t.l02l*05.J,OQo~-o~ b.I07F+OO*llobRll:t02 o.SbOl+OO Q,o2ll*02 5.b5~ft0l 11,ouZt!Ul GHANO TUTAL b.ll9tt00 u,~81Et"2 q.ul1E+OO 9,bllt*ni J,bOOE+ua 5,5llt*Ol b,229ft00 llob81t+oz 9,Ul7Et00 Q.o2lt*02 S.9tQftOI u.oQ2Et11J
!LEMENT fYPE ()10 p l p l I I I SJ Pll (I> VVClJ YZtlJ Tll(lJ MV(I) MZCIJ P~lJ) VYlJJ VZIJ) l~(JJ ~Y(J) HZ(JJ I l -l 11* I l. l l l l 1-. l
~.97llt02 t.Ul¥E*Oll 7,auuE+Ol*b,27lt*Ol*~.ouQE+OJ lo20Q~u02 2.9T1Ft02 ,,btUE*Oll 7,UOOftUl*b.~llf*Ol*a,l~ll+Ol J,1BJE*U)
y V l'llllP*UH l.
II l
5 l
II l
II i.
q
. Vt:*ll)*c' 1 lall"'**Z Q 1 11t'IE*112 l,li!ll:.*OO*l,707E+nu-~,q)ut.
l
.Hf -o~-i!. 71llt . . ~
l i!
u l l u
1 Ii ll,Ul 1a_u(I;! lili!lt'.*Or> j! 1 t!7Ut:+ 10 1 0 1 i.
a,
'i
'llllllll'l
l. HAMJ11UH 11,hll<<a.+lll 1,Jqllf:ttll lollfllE*O] 1 1 118]1:.+0ll*J,)Aqt*Oi. 11 0 011ll:90} 11,bHqFtUi? 7 0 71111t+ut I, l411t.*U1 l,11H)t.+OU*l.5t!i![*lll .!,) _+nz GRA~.o TOT AL s, o;'izt.+112 1 1 11.11a. * ., , 1,1i1111t+n1 1,olllt+oo 11,ouq~+oJ 11 1 01121:.+ol ~.S~i!~+Oi! 7 0 71111l:+lll 7,H1111t+o1 1,01ut+oo lol'ilt.+nl i!,7blft+lli!* .4 p 1 .. l I I I tlEHl:.NJ l\llJHIH:.lf b)
Pll(I) YYll) ~Z(I) T*(I) MYll) Hi(lJ Pit(J) VYlJ) vzlJ> t*lJ> ~*<J> ~zcJ>
1 I I I l l I I l I I
HAXTHU" l,q711E+02 i!,lRJE*nll 1,oqJE+Oi*b,i!llt*ol*Z,l'ilE+oz j,l6Jfm0] i!,9Jllt+02 2 1 1811:.*0ll l,Uq)E+Oi!*b,~lll:.*01 5,2i!CfltUJ*7~730E*Ul y II 'i II II *q s Ii 5 II II II 5 y HAXTHUH *4,lldOE*O] S,lbi!E*ttl*t,18dE*oa z.121t*ob 2,a111E+oo 7,7JOl:.*Ot*ll,llOOF.*Ol J,162t*lli!*l.l"~~*UI z.121t*Ob*J,Oti5E+dO*H,oKJl*UI z i. i! l i! l 2 2 2 i! z l l z "AllTHUH e,o"uf+Ol 1,uKi!t.+112 t ,s10E-0J 1,111111:.+011 .. 1 151\ZE*Oi! l,lb'll:tOl ll 0 bQOt+02 l 111fti!E+Oi! l,'ilot*lli &,u~3E+Ou 5.'1471:.*Q2*SolJSE+OJ GRANO TOTAL S,~~llE+Ol l,118lEtlli! 1,olfJE+Ol l,blOt+oo Z,151!+02 2,7b~l+02 5,5511F.+02 1,us21:.+u2 l,llQJE+02 1,oliJttUO 5o22QE+~l ~.ll~E+~]
c p l " !. I I I 7)
Plf( IJ VY (I) vz (11 Tll (l) Hy ll) HZ(l) PX(J) YYlJ) 'IZlJ) UlJJ .... (J) "'ZlJJ
HAJIJP'UH I I l I I I 1 I y
Z,Q711Et0l*2 1 18JE*nll lellQJE+Oi!
s I l Ct,2Tlt*Olu5,229E+Ol*7 1 7lot~OJ*2,9lllf+02*i!ol11JE*Oll II 5 I ,iJll}t+02 b,itllt*lll Z,]51E+ul lolll][*llJ II s l
y l'IAXIMU'4 *11,~~Ut*O]
II
] 0 let2E*~i!
II II lelRtlE*OI 2,121t*uet*J,obSt+oo II u,06Jt~o1*11,1100F*Ol '
II J,lb2E*oz I, llHIEeO I 2,12lt*Ob Z,8711£+00*1,TJOE*OI z l l l i. z 2 ;z z ~ i! *z z i M0fHU11 -*.~~Ol+OZ*l,Ul\ZE+az I 151oE*O,l*l 1 lllHt.+011*5, 'IQH.*02*5, 115t 4'G]*G
CllJOF t Oi?* I, 092E +IJ2 1,s1ct*Oj*l,<<i~Jt+ou 11582!*~2 Z,J~9E+02 GAA~O f0l~L 5,ssul:.+Ol I, 11H2E +**2 1,u_Q.JE+Oi.' l.blOE+ou !,22~E+Ol 5,lJ5lt0] 5,SSll~+Oi! 1,u8i!l:+n2 1.uCJJE+oOi? 1,c.-tut+ou Z1 lS&E+U2 l 11b9E+U2 ElEHEt.iT lYl'E (l/U p p E I I I ELEMENT NUHlll:.M l G:i Pll( IJ VY( ll vll 1 J 1'K (I J Hy(J) HZ(l J P*CJJ VY(J) VZ(J) fk lJ J HY(J) "'ZlJ)
HAJll"UP' J(
1 I l l l I I I l l
Z,'17Jt+OZ*l 1Hlllf*Oll J 1 81111E+OI b,Z7lt*ol 2,l5lf+02 l 1 lHJtgOJ*Z,97lE+OZ*l,81111:.*0ll 7 0 811UE+UI b 1 il!l IE.*O l 11,0llCff+lll 1,200E**nz l I y II 5 II u II 5 II 5 II II II s y "'AlllMU11 **,1191:.*0]*l,7~7l:*Ol*Q 1 Ul~l*Ol z,uat:*u1:1 Z,614E+oo.7,7J~~eOl*11 1 J71fF*~l*2 1 707l*~2*9,a19t*02 l1121t*Ob*l 1 7J7EtUU s. U]llE *II I z i! z l 2 l 2 l 2 l l z l Z "'0YHUt' .a.e.R9t:.+oz-1, 11111t: +01 1.l~llE*OJ*l,U6]t+ou l 0 562f.*Oi! i!,7b"t+32*11,b~9F+02G7,Ja&aEt~I l,IQUl:.*Ol*l.u~J~+~u 1,Jt!'IE*Ul u 1 ou2t.+1;J QRA~O TOTAL 5,SSl~l02 7, 7111aE.+'J I 7 1611&al+OI I ,bl 111:.+011 Z,1511:.+02 ~.lolfE+Ol 5,552Ft02 7 1 71illl:.+Ol 7,Hllllf.+ll I 1,1:1101:.+ou 11,111111t+*Jl 11,0112t+llJ p 1 .. I:. I I I Pv(I) VYll) YZllJ T*(lJ HYll) HZ(IJ ~*(J) YYlJ) VZ(J) TklJ) l'IY(J) .. Z(J)
II I I I I I I I I l l 1 I( .. OIMllH l,226E+oo .. 1,ZQJE*t!l*boll\bE.+011 l.51\lt.*OH l,7lbl+bl*l 1 b08Eao2*l,22~F+OU*l 1 2qJl*lll*b 0 l6bl:.t~U &,'S6lt.*08*l1bUUEtOI 8,5U2~*02 Y 5 'S II 'S II 'S 5 5 II 5 U S Y ~A)JHU., *l,71~l*Ul J,Jllllfe~ll-t 1 lJbl:.*U'S*l 1 1190E*lU 2,IT6E*OS.5 1 llJllE~o1*2 0 7IOF.*OZ ],]lllll*Ollal,i!Jl:IE*05*1 1 11qOt*IU*d,u8]E*U5*5,G~JE*lll z l l l l z 2 z z 2 l l
z ~AlJHU~ *b,lU7Et00*4,bH7E*Dl*&.5b~E+ou-~.bZlt.*ol 5 1 b5HE+Ol*11,0112EtO]*Ct,I01E+OO*G,C.ft7t+Ui!*b 1 5bOE+OU*q,b2ll*Oi!*l1lOZf*~'S J,040E*~8
'AANO TUT&L b,i!29t*OO 11,b~JE+Ol q.ollf.+00 9,bllt*oi! 5,919E+UI a,01121:.+01 o,iZi!9EtOU ll,b8ll+02 9,0l1t+uu Cf,bllE*UZ ],bOOl+UI 'S,5JIE*~*
!LEMENT TYPE (J/O p 1 p E. I I I ELEl"lNT NUMRl:.M i fl)
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(' ruJ*L ** l 0 21051Jt.*Ull t1 loUllll!i!l;.*011 l, IOU2'1f .. 014 J,c5o.59E.*03 11.02l5!1E*Oll 2 0 l119Zll:*Oll II, i!ll'itlllt *US
'.'I TUTAL,.
u lUIALoo l uub7111:.*llll 11,'!>UllJ'.Jl*Ull ii!, H5'.J'.JE*Ol q 1 J'l')tlllt*Ob z,115 1u1t1t*u£1 11,1185211:.*0'!>
0 t.71'1tllt.*Ui! i! 0 27'lt H.*ul 1,11'!>8bZE*Oi! l otll')tllll*u5 l,O'.J?.Sbl:.*Ul l,IJ6'i]Ol:.*ull "i TUTAL **
7 0 bl1Jl'lf*Oi! 5 0 i!ol115E*llll 1 0 11on n-02 '!i 1 bl11U':>l:.*O'!l I, OVR!i.U.*Ol l 0 .58~7bt*Oll b TUT AL ..
\1 1 7blltlbt*Oi! 3 0 11i!b5t>E*<<*b ) 1 U0)7ttE.*Ui! i! 1 tJlltlll°'f*Oll 7, bllASJE. .. 011 l 0U3)1bl:.*Ull 7 TUrAL . .
Tt1ToflL 11 tl 1 'l)i!9bE.*Ui! 9, I toullE.*tJl," 11,sa70<;1:.-02 lo 75~ 1'1f*Oll co'Hflllt.*Oll l 1 '15!>S11.!.*Ull
., TuUL, ~ ti.lt'!>l5t*ul ] 1 011'11tlt*Ol ll,')t11117f*Oi! 11 1 117Sl'IE*Oll 2 1 lbll.tll*Oll l 190'fb'.Jt.*Ull 11 1 )11 lJOf,*Oii! II 1ti!J711'lt.*02 11 1 tlltsi!llE*Oll b,'5lb71.l:.*U'!i l,bbl'ilt .. 011 Jo TOTAL,. tl 1 li:!71bt*Oi!
t , TOTAL,. u,1i!_t10Zl:.*ul 11,t.1b1>c!llt*vi! 11 0 11b.11'llE*O?. ll 0 l11Qtlllt.*Oll i,Olb5'SE.*Oll l ,51 ~l lt*Ull u,1011Joul:.*lli! '5 0 b].S 11Sl:.ot.rl J.Ylll05E*U2 q,1lll]Yt*Oll ! 1bi!677E*Oll 1 1 15.\tilll:.*Ull 12 T1ITAL1, n TllTAL, 0 t1 1 lltl~lt.*Ol b,~O'>l21:..,U2 ],J'illl\IO[*U2 II o l'l~C!llf.*011 l 199117tJt.uOll "I Otlll l Ut*O!I t 11 TUT.AL 11 I, l l llllSE*O.i! ') lbQQIE*Oi! 2,bll117llE*02 11,11211 "/E*Oll '$,01111\llE.*1)11 11. :nv'SYE.*O'S 1
I~ lllTAL,, 11,t177711E*02 l, tll'liul:.*ui! 2,0Ul.tbbf*02 4 1 211~'.Jbl*Oll '5 1 11U'JtJ7tuOll t1 1 bl Tlli!t.*115 I ,, lUTALo, 111U'.Jlll2t*U2 i! 0 '.J1t'111t-vi! z,,,Ulllli!t*u2 11 1 2*1lllbE.*Oll '5,lli?lh5toull 1 1 'lllJb7f*U'!i 11 l11TAL 0 , ~.c!'.Jllb7t*Ol I 0"l"<<>H.*uc! 2 1 llllq'Sbf. *Ol J * 'S'Stl I c!l *O Q 5, l IH1 t I* t:

tl q 6 1 VII ~'1111:.*U~

111 Hll Al 11 0 1 '>117'1111:.*0l 2 0 '111'1121:.*ll'S '5, u l'IJ'>t:.*u'> l,tillc!/111:..,Ull ll 1 ].?b"jllt ml)q {},'15211'Sl:.*U',;
\Q TUHL. 11,1J'>'>ll?t*Ol l,'Sc!l!/Jt:. .. uJ ! 1'1711!nt.,O!r lo'5Hltll.:.*U ll 0 llf?7Ui:.*Oll q,t.l]l'ilYl:.*U'S 1

e.

I 20 TlJTAL .. l.q57tll*113 11 0 )0l l5t*Ul 5,~'IJ7HE*0] i! 1 )11bllll*Oll :s. *13?C!'iE Dl)fl lf 1 8llU1Zl*U'5 l,.
l 1 711vo61:.*0l 5,Ho02E*lll 7,Hli!2E*Ul l 111bi!llii!E*Oll 3,1152f\uf*05 11,11115221:.*0'5 21 lUUl., I 1,7111181:.*U] 11 1 llltll]'lfoUl 7,Uo5iOE*U3 1 1 ]'112.JE*Oll 41 0 ]9J]llf*O~ 11 1 9]211'1l*OS l? TIJTAl.oo Z,t.113'111f*Ul II ,llt.111'!1111:.*0l 9,~tl'lllllf*Ol l ,llO]l&IE*Oll 11,l93Jlll*o5 ll, 1Hl'l77E*05 21 TUTAL11 l 1 JllOllUt.*Ol 1 0 o'l11ltt.*llJ b,l!bl0~£-l'] lo]i!Y~~E.*011 ll11772lt*O'!) fl187l7'11:.*05 20 TUTAL. 1 ,
l 17110121:.'"U] l,21110!111:.*ul S,i>d7111E*Ol 1,zo~u H.*uu ~.211n!it*u5 II, 7]1~7f*05 l5 TUTAL 11 l, 771Jllt:*U] 2 0 "11')olf*ll.S 5,~C!IJll'lt,*Ol l ,01111~1:.-1111 5, 72til ot .. os ll,btll.!71:.*05 lb TOTAL 11 I 1711lt11.11:.*UJ 2, 1'17'!111:.*0l ),'1011'/0E*Ol leOl~tl"lt*Oll 5,f1Sol9E*U5 11,s11111Jt.*o'!I
.!'7 TloT AL o 1 2H ll.iT Al. 1

2,7lllllt.*03 .!,l'17'11t*ul S,'IJ6lSE*Ol t, oi! 1 ~11E.-011 '3,65blql:.*u5 ll,'5bl111.it.*ll5 TIJTAL 11 1 1 717'!>7t.*O] l,H]lill'lt*UJ 2 1 t1UbU7f*UJ 9,117'il')~t.*os 5,6]187t:*05 ll 1 111jb]lf*U!i ff!Q

]O TUTAL 0 , 1, 775.!')l:.*CJ.S I 1 711fl')llt.*Ul 21117IOE*U! IJ,i!'ll lllE*OS S15t11>1'51:.*U5 ll,Zll*l'll*u5 l 0 !;D*l1!:.*ul 1.~llJllbt*ll] b1 1H~711E.*OS ll 1 qQ5btlte05 ] 1 89fl~U!:.*U5 31 TUTAl.11 1.s 111~11t-11J
]?. TUT AL I. ~.o:Ulbt*uo 11 1 l*l1'iht*Ull 5,!:IOSllllE*Ull llolbb51lt.*ll5 11.01ntf*u5 l,b}b!>bf*U5 H TlJTAL 0 , o, o, o. 11, (). o, o, o, o, n, o, 311 TUT*L,*,
15 TUT*L 11 !I, o, o. o~ 111 o, lb TUTAL 1 , o. l). o. o, o. o.
J1 TlllAL .. o. o, o. o. o, o.
)11 lt1TAL.

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F.I.R.L. BENCHMARK PROBLEM ANALYSIS.
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fl :~ ::r 1 570.3 ~7C.c_3 73i:;i '-U, 8 3<o ),2.. 787.4 787.t.l T37l,:i 0 ....J**l,- - *.se:,, ~ - \(<.?

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J -1.4 -1.3 -2 ;Du ro 4t;,8. 8 4~9.8 4042.4 3<o.O 41~.?- '47~. 2. 409J.7 3<o.7 -\.4 7'C 4 4~.8 4Ca6.8 "30.0. ~2..4 47~.2. 47S. 2. 3~.l t,o9S"i -1A - \ .4 - 2.. ... ._)
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4 5
7.4\4 7.840
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v 5.82 2. 1.994 t<o81 .ok:-93.100'9 .ooeie:i 1 ;j.795 2.013 l.'ci~2 .oc-ss.112,s. .coss . 1.1 l.2 -~
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0 IS PLACEMENT RE.~UlTS roR 8 ENC.H MARK PROBLEM MO. 2.
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, 3 I ov DlfT£ViJK£ NO. r-~~x-+~'-=--Y-'----i-"-'1:::.=z~-+-6_e__,_J(-+-t:i._E-)_,y-+-6=-~e:_::.,;.:._*, Ax 6Y bz D. ex .f.\ o . . i .'...\ e .i". j, NR.c. - P1r:rHt-.\/NRc 11 1 230.3 .92(,2 225.I <o.S"!J9 .OChf.o G.2 71 2 2 30. 3 . 92..C:,Z 22S. I . <o. "::!YJ .c~~ ~.21\ - (-;.8 3 2 30.3 .9202 22~ \ ~* S:>9 1 .CX)~,r,, b. 2. 71 - C0.8 4 23Q3' .9202 2 2 s. I *c;, ::.,9',.oos1,;, ". 2~1 - (:, .B s ,. 4(o I. 5 \.82-1 L\ L\ ~ .ffiJ"° .Cl II l.l \ .J 7.7 b 4G,1.9 .9782 4L\<o. 2. .05291.002.9 1.113 -\Sl 7 1qG/_ ~ l.62.7 44(,_2.. .'685'11.f'll I \.1 l3 I *r .7 8 !'LV0 \.8 2.358 ~11 i;:._,_4 *t;:-i.::;~ /' 128 * \l l 9 I - :~:~~~-'2.
9 L\ ~ I. 8 .2. *s ~B 11'1 (,,_4 . 20~6 .01 ZB . n 19 I - >~~{.>~~~
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9
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ll~:i"Cl!'*IAl*K h

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J o. I 08, 9 o.
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5 36, JO 145. 2tl o.
b 54.15 145.20 o.
7 7 2. (J I 4 5. 2 ~l o.
8 97.b6!J 1 '15. 7.!l 10.632 9 108.30 14'i.20 36.J 10 1 ()fl .30 145. '}.ll 56,H 11 !Ofl.30 I 4 5. 7." 77. 3 31i. 3 10 'J. 'I o.
12 13 72.0 145.2 36.3 1 3 I, 2 Hi:i

24111 0.001 2 4 ., * 'l 8 *J :.!410 0. OQ 1 o.

1 1 ., 0. 240000110, o.3 0.0000011 1 0 l. 1* I * .* 1* 1* 1. 0 11 0 l. 1* 1* 1. 1* 1.0 J l 2 12 J 1 l h I
'2 2 l 12 5 !) f) 12 6 b 7 12 9 ':I \I) 12 10 1'J 11 12 J .:I 4 t2 2 2 2 1 4 I
4 4 5 12 7 I (i 13 B I:< Q tJ 9 0 .99 1000.0 2 3 4 5 6 7 8 9 10 0
27 2 1 .OJ9Hfl 2 2 .03988 2 3 0 0398H 3 1

0':>032 J 2 .05032 3 J .05032 4 1

o?.n All 4. 2

0201!8 4 3 .02088 5 1

016'11l 5 2 .011:198 5 3 .01698 6 1 .01307 6 2

013('17 b 3 .01307 7 1 .01698 7 2

01 t>9 ti 7 3 .01698 B 1 .01044 B 2 .01044 8 3 .01044 9 1 .017'-l5 9 2 .<'179':> 9 3 .01795 10 1 * (11501 1 () 2 .0151l1 10 3 .01501 0

FREQUENCY A N!J flf"lf. SH I\ P~:s, !l Ei*ICH~l AR t' PRll BLF:h 1;11

1 1 -1 5 4 .o~

SPECTRUM AN~LVSIS, RE~CHMANK PROHLE~ NO, 1 2 -1 10 1 1

1

() 3flh. 4
11
.323
.1 7'.I.
,091
,0286 1.0352 1 , R 1 1 (>
1.1387

0. 9i:l 3 <!

.2~

1 41

, rn 1

001648 2 0 2!'>'11 3.07-t~

2,00~7 0,37~3
.2
.114

05ll 2.2541 3.0745 2.0057 4

1*
~ 1.
1.
MAX, X*EAHTHQUAKE il 1. 0 MAX, Y*EAK~HQUAKE 0,0 0,6667
~ MAX, Z*EAKTHQlll\KE

o. 0, 1,0 LINEAR COMUJNATION OF X:l, Y:,6667 1 AND Z=l.O

.ill 1.0 ,6667 1.0 ll RMS STRESS COMPUTATION OF THE EARTHUUAK~ ANALYSIS i',) 10 11 4 4 11 SRSS COMIHNA'flDI~ OF THE SEISMIC RESlJL'fS
.l.} 10 11 1 1 2 (; 2 3
SRSS COMIHNATlCJN OF TUE EARTIWUAKE X=l, Y:,66b7, Z=l ,O
-1 1,0 -2 1.0 -3 1,0 0
0
TH". l"Rl\r.. KL111 P'STlTlJTE kF:SF.:ARCH l,ABOPATORIF.S STRUCTURrn C:OMPllTF:H PROGRAM e @
BENCHP1l\RI< P*HOl'IJ,Er~:; fl1R PitJflYN II COMPUTi:;R PROGRAM BENCHMARK PROHLlM N0 0 l FROM NRC Bf.NCH,.,ARK PRl.l!'l,F.11 1111. 1 ef TYPE OF ANALYSIS

lNF~U~NCE cni::FrJCit~rs FOR ELEMENTS IN PIPE FORMAT TUTAJ, ~UMBF:R OF ELEMENTS ****-*******-********************* 10 TUTAJ, ~UHbF:H OF STRUCTURAL JOINTS ************************* 11 TUTAI. NU~8Ek Of fICTICIOUS REFP.RENCE JOINTS *************** 2 TOTAL ~UMBER OF LOADS FOR GENERATION OF DYNAMIC DOF ******* 27

(!:
TOTAL ~UMBF:H OF MECHANICAL LOADS ********-***************** 0 TOTAL NUMBER OF THERMAL LOADS ***************************** 0 TOTAL NUM8ER OF NUN*DYMAMIC LOADS ************************* 0 TOTAL NUMbF.R UF AUXILIARY ORIENTATION MATRICES ******-***** 0 TOTAL NUMUgR OF AUXILIARY COORDINATE SYSTlMS ***********-** 0 TOTAi, NlJ/.1flF:R OF CONSTHAlNlO AUlllJDARY JOINTS *--~----*-***** 2 TGTAL NUMUgR OF NON*DIAGONAL ELASTIC fOUNDATIONS ********** 0 TOTAL NUMPF:R OF JOINTS WITH NON*ZERO lMPOSF:D DISPLACEMENT

0 TOTAL NUMUF:H OF CROSS-SECTION TYPES --***-*********-******* 2 TOTAL NUMBER OF MATERIALS -**************-**********-****** 1 ~*

TOTAJ, ~UNBF:R OF PIPE PRESSURES **********-********-******** 0 TOTAL NUMdF:R OF GRAVITATIONAL VlCTORS ********************* 0
('
e""
('
fl Ell
~
~
e (B
fl1 ft]
XSEC e
ELI~, H/OLl 11/Tii AllC:A 11 12 13 CROSS SECTIONAL PROPERTIES Xl Yl X2 Y2 X3 Y3 X4 e*
- Y4 (j
CODE TYPE (JN) CHI) CINH2) CIN04) CINH4) CINH4) 51"1 Sf'2 CIN) (I~) (IN) Ch) (lh) CI~) (IN) (JN) 1 s 1. ?.Ii B .D.241,5335E+01,3316~+02.bb32E+02.3316E+02 o.o 0,0 3,64 o,oo 0,00 3,64 -3,64 0,00 0,00 -3,64 2 c 7,298 0,241,5335Et01,l316~+02,33lbE+02,6632~+02 o,o 0,0 3,64 o,oo o,oo 3,64 *3,64 0,00 O,Oo .. 3,64
~ATERIAL ~ROPERTIES TYPE TEl~PERATURE Cf") Y8UNG'S MOOULUS(PSI) POlSSoN*s RATIO COEF, OF THERMAL EXPANSION(/f) SM (PSI) 1 10.00 24000000,00 0,300000 0. 000007100 0,00 9
,10 l IJ 'f fllPEr J li1'J ADDITIONAL *'1ASS 2 1. 0

J9ROOE*01

?. 7. 0 0 398HOE*U1 2 3 0.39BBOE*OI 3 1 o.5u320E-ot 3 7. 0.50320E*OI 3 3 o.su320E-o1 4 1 0 0 20RBOE*Ol 4 2 0 0 20BBOE*01 4 3 0.20R80E*01 5 1 0 0 1b9!J0t:*01
'.'i '.l 0 0 169BOE-01 5 3 0 0 169BOE*Ol 6 1 o.13070E*01 6 2 o.uo10E-01 6 l 0 0 13070E*01 7 1 0 0 169BOE*01 7 2 0 0 169BOE*01 7 3 0.1b9BOE*01 B 1 0.10440E*01 B 2 0 0 10440E*01 R 3 0.104401::-01 9 1 0.17950E-01 9 2 0.17950E*Ol 9 3 0 0 17950E*Ol 10 1 0.15010E*Ol 10 2 0.15010E*01 10 3 0.15010E-01
fld\
NO.
r:~' D e
.JO I '*'TS t ri I 1 '2

1 1' ** M l\T. Fl.* F Ji f:

h"T ("11'*1' T) Fl:. Cr1l1F 1 'L Pi,~::;
,. .i pt*..
sn*
cnut-~
0 IJF.G t!RAtl X f~ l*~C t* r:J. Nll

CIJI)~;

lJll A I\\(~ L,F.
5-1.45000 ll r~ T 'l WT

l,f\/ I 1" 0.00000 Pkt t:M'I fl Tl OM MATfllX 1.000000 0.000000 0.000000 e-CI,J')

A o.nooono-1.000000 0.000000 0 o.no()(Jou 0.000000-1.000000 2 2 12 r n 51.450(10 0.00000 1.000000 0.000000 0.000000 0 0.000000-1.000000 0,000000 0.000000 0.000000-1.000000 Gr 3 3 1 12 2 0 1 2 o.7B540 0.00000 RA[): 36.3000 t.ooouoo 0.000000 0.000000 F'LX= 2,J416 0.000000 0.000000 1.000000 ECC= 0.0000 0.000000-1.000000 0.000000

4 *l 5 12 2 1 () 1 2 0. 70540 0.00000 RllD: 36,3000 0.101101-0.101101 0,000000 n.x=

C:CC=
2.3416 0.0000 0.000000 0.000000 1.000000

0.101101-0.101101 0.000000 5 6 12 0 1 1 1 17.85000 0.00000 0.000000-1.000000 0.000000 .;)

-1.000000 0.000000 0.000000 0.000000 0.000000-1.000000 6 7 12 1 0 1 1 17. ASOOO 0.00000 0.000000-1.000000 0.000000
-1.000000 0.000000 0,000000 0,000000 0.000000-1,000000 e 7 7 0 t3 2 1 0 1 1 2 0.10540 0.00000 RAil= 36.3000 0,000000 0.000000 1.000000 f'LX= 2,3416 0,000000 1,000000 0,000000 Elli ECC= 0.0000 -1.000000 0.000000 0,000000 II 9 13 2 0 2 0.10540 0,00000 RAD=
f'LX=
36,3000 2,3416
-o, 707107 0.000000 0,707107 0,000000 1.000000 0.000000 EC(;: 0,0000 -0.101101 0.000000-0.101107 9 tO 12 1 1 0 1 20.soooo 0.00000 -0.892934-0,450188 0.000000 0.000000 0,000000-1,000000 0,450188*0,892934 0.000000 e 10 10 11 \2 1 n l 1 20.soooo 0.00000 -0.892934*0.450188 0.000000 0,000000 0,000000-1.000000 ~
0,4501B&*0,8929J4 0.000000 0
MAXIMUp.4 ELEMENT LENGTH OCCURS H' f.LP./*IF:NT *2 AND EQUUS 0, 54450E+02 INCHES HINI~*UM FLE'lf.ll'l' LENGTH OCCURS IN fl.,l':Mfl'oT 6 AND EQUALS 0.178SOF.:+02 INCHES MAl\IMUH F{,P1Ei1T STJHNESS OCCUR;:, HI F:LF.H".1<T l'!NJMUI~ F.LE'~F:iiT .c;rn*n~~ss OCCliHS H; E[,F.:~E::iT 6
t AND AND EQUALS EQUALS 0 0 17825E+09 0.59152fi:+05 IT*, TIME=16100 30.0 CPU: 17.640 SEC

Ell

SLVR*,

lfPDT*,

TIME=16100 40,6 CPU:
Til4E=l6100 42.6 CPU:
22.021 SEC 22.205 SEC

0 6

Q
e ElEl'<CtiMARK PRUBL~~~*s fREQUEZ,CK AND MODE Full PIPl;Y., 11 ('lJ~ll-'ll'JFk PRUGkAM SHAPES, 1\l::NCHhAhK PfWc..J.r.1-' IJG 0 1
-* BENCHMARK PRUBLEM ~0.1 FkO~ NRC 9*
~ MU£JE llllMAER 1 NAT. FRl::Ou~:r~CY 0.1B2453Et03 HAD/SEC 1 0.290383E+02 HEkTZ PERIOD 0 0 3h373E*01 SEC lJOf JN'f Dik hODE SHAP~: D!lF JNT iJik l'\O(JE SHAPE oor JNT DIR MODE SHAPE 6
1 2 1 -o. 19 2 8 9 4 7 5 t:* 0 2 2 2 2 0 1 36555954E*06 3 2 3 0.49257328t:-02 4 3 1 -0.57b27140i::-02 5 3 2 o.730912jjt>f:*06 b 4 2 0 0 6290!l775'E*03
~ 7 ~ 2 o.1654JB\13t:-02 8 5 3 0,14777037E-01 9 7 3 0,70895770E*02 10 R 1 *0,5675b9&9E*02 11 8 2 0,19723275t:-02 12 fj 3 0,17107261E*02 13 9 3 0.717112311:.-05 14 10 1 *0,539428B7E*03 15 10 2 0 0 1844B912J::*Ol
@ 16 1o 3 o. 37357104~*li5 a MUOI:: NIJMBER 2 ~;AT* fkt:.OUf,1,CY 0.36306bEt03 RAD/SEC 1 0,577837E+02 hf.kT2 PER TOO 0.1730591::*01 SEC a.lOf JN'l' Olk MOiJ~: SHAFf LiUf' JNT [I Ik MO[if: SHAPE IJOf JNr Dlli MOl>E SriAPE

.,ii 1 2 1 0

2 5 2 2 b (I 5 lE- 0 2 2 2 2 *0,3313o7~f>E*06 3 2 3 0,225007t>3t.*02

'1 3 1 0 .o1376595E.:*Ci2 5 3 2 *O,o6199444E*06 f, 4 2 *0,12847120£*03
~" 10 7 5 2 0 0 43728406£*04 B 5 3 0,23102373E*02 9 7 3 *0, 107104ll9t:*02 8 1 0.02931:1054£-02 11 8 2 0,21113931E*03 12 B 3 *O, 110245J1 E*02 13 9 3 0.94tl064,2Bt:-05 14 10 l 0,10054259£*02 15 10 2 0,263677011::*04 0 16 10 J 0.474107251::*05
.j MOPE Nlli'IAC:R 3 rR t:n u F:l~C'i NAT. 0,524361E+03 RAU/SEC 1 0,834546E+02 HERTZ PERIOD 0, 11\IB26E*01 SEC DOF JN'f l) lfi ~;O[J~: SHAPE DDf' JNl' DIH MOIJE SHAPE ti Of JN1' DIR MODE SHAPE
~
1 2 I 0.170491il4t:-02 2 2 2 0.251296021:.-04 3 2 J *0, 10434674E*02 4 3 1 o

22 3 6 1 5 9 6 r:- o 2 5 3 2 0 0 50142035E*04 6 4 2 0 0 11757763E*02

"" 10 13 7 5 ll 9
2 I
3 0.48035668t:-02
-o.12070627F.-02 o, \I 693267J1,:-u Ii 11 14 B 5 B
10 3
2 1
O,b2961992E*03 o.11001579E*02
-0.1742f;825C.*03 12 15 9
10 7
8 3
3 2
0,&6890068E*03 0.2B142986E*03 0,98H10.33E ... Ol
.J 16 10 l 0. 4 8 4 H2 3 'l 1 ~. -u 6
~ MUPF. rHJiHlC:R 4 ~*A1'

r Rt::OUE1*1CY 0,947394E+OJ HAU/SEC 1 0,1507A2E+03 HERTZ PEklUD 0 1 b63207E*02 SC.C DOF J'JT IJlh l*Ol.JE StiA!'~: uor JN1' DIH MODE SHAPE IJOr' JNT [)IR l'IODE SHAPE 1 2 1 -0.1 lb5tl751ll!.*03 2 2 2 0.6705120H*OS 3 2 ] 0,347192091::*02 4 3 1 ~o. 207740301::-03 5 3 2 0, 1330ii201l::*U4 f, 4 2 0,68980021i*04

~ 1 5 2 0 0 JIH00637t;*03 ll 5 3 *0 0 34421755E*02 9 7 3 .,;, 195706161::*02 10 R t -G.10597518C.*G7 11 e 2 o.90517906E*03 12 I! 3 -0,225259051::-03 13 9 3 MOO 2423b 130t!;*(14 111 10 1 *0,39320745E*03 15 10 2 0,199796bbl::*03 G !6 10 3 *u.1713ll4BC:-04 ta G
e'b e BENCHMARK PROPLfMS FUR PIPUYN II CO~PUTEk PROGHAM
-* - BE~CHMARK PROBLEM N0,1 FRO~ NRC
-~

FREOUE~CY ANO MOOE SrlA~ES, Bl::~CHMAHK PROBLEM MO, 1

MODE M~PAL PARTICIPATION fACTOHS DlRECTIOM t DIRl::C'!'llJN 2 DIRECTION 3 I

1 .. u,99274RE*03 0,1476401::*03 0,1B0438E*02 2 0,997959£:*0'3 0,807075~.-05 0,434755E*03 3 0,8640171!:*01 0 0 494274E*03 *0,6B9479E*04 0 4 *0,76b996t::*U4 0,503624t;*04 0 0 42501U E*04 5 .. o. 7492101::*04 O,t>3071'11::*04 *0,918345£*05 6 U,48575RE*04 *0 0 1l22130E*05 *0,275311E*06 e 1 0,4255071!:*04 0,320110E*05 0, 7110381::*04 B U,122467E*v4 *0,551Bt>Ot:*05 .. Q,4206!:i3E*OS 9 0,37b006E*O'i o, 92906 H:*04 *0,4053241::*05 e 10 0,3349001!:*05 -0,364141C:*05 -0,204683E*OS 11 *0,16'J51Rl::*04 o,760390~:-os O,llB06tl4E*05 12 0,2957051::*05 *0,26561l1E*OS *0,195272E-04 e 13 14 15
-u.

0,lB6011E*05 319963t:*05 0,168970E*05

0,t>970BBE*05 0,273161E*05 0,246195E*05 0,344052E*05

v, 583140E*05 0,52B554E*05

16 0,175263£*06 *0,21B920t:*08 *0,1498il2E-05 I

e 0

G 0
0 0
Gil

bEi.Cfl~AIO\ PIHJl<LEi1S FUR PIPIJYN !I CLJMPU'fEk PRUGHM1 SPECTRUM ANALYSIS, BENCHMAkK PHUbLlM ~U. 1 SPl:.C'J'R A[, ACCll1 CI N/SECH2 J

BE~CHMARK PR08LEk N0 0 1 FROM NHC

e*..

MCWE P~:IH(JD l.ill\ECTION l DIRlCTION 2 l>IRECTION 3 1 0344 0 0.45B23E+03 0.458231!.+03 2 .0173 Oo451i23E+03 0 0 32014E+03 0.320141!>+03 3 ,0120 0.32014E+03 0 0 2B242E+03 0,28242£+03 4 0 0066 0.28242E+03 0 0 23081E+03 0 0 23081E+03 5 .0060 0,22251Et03 0.23081E+OJ 6 0,222511!:+03 0.222!51F.t03
,0038 Oo19125E+03 7 0,19125Et03 0 0 19125Et03
.0033 Oo18178Et03 0.18178l+Ol 8 .oo:H 0,16315E+03 0,1o315Et03 0,1Bl78E+03 9 ,0017 0,16315Et03 0,1457t>E+03 0.14576£+03 10 11 .. ' ..
,0015 0 0 14502F:+03 0 0 14502Et03 0 0 14502E+03 0,14502E+03 Oo14576Et03 O.l4502Et03 Ool4502Et03 J
BENCHMARI\ PROflL~:1*\S f'Uf< PIP !JV 1*1 lI CUMPU'H~h PRUGH AM SRSS COM~INATION nr THE SEISMIC RESULTS R~SULTING
(

BENCHMARK PRU6LF.M N0 0 1 fROM NRC

~* SRSS CUHBI~ATIQN or THE EARTHQUAKE X:1, y:,6b67, z:1 DISPLACEMENTS FUR LOAD NllMBl'.:R IN GLOBAL COORUINAlE SYSTEM )
1 JNT NO. DISPLACEfWN'I' 1 DISPLACF.ME'l\.T 2 VISPLACEMENT 3 ROTATION 1 RLlTA1'!0N :.l ROTATION 3 NEW INClll!:S 11\CHE:S INCHES. RADIAIJS HAD I ANS RADIANS JNT 0 NO, 1 0,000000000 u,000000000 0.000000000 0.000000000 0,000000000 0,000000000 1 2 0,00203125J 0,000004964 0,004721078 0,000151143 0,000055099 0,000063460 2 3 0,005A5373J 0,00000908t> 0,014268464 0,000181042 0,000110197 0,000069762 3

11> 4 o.oon4s920 0,00ll607496 0,017082183 0,000143347 0,000149450 0,000050659 4 5 0,007160814 0,00163292b 0,013984452 0,000112932 0,000199178 0,000030730 5 6 0.007759191 0.002123599 0.010386653 0.000101026 0.000207249 0.000024008 6 7 0,007756976 0,00~51042b 0,006708994 0,000089222 0, 000201H;44 0.000010954 7 a 0,005795115 0,002013326 0,001661~61 0,000069520 o.00011016b 0,000008546 B 9 0,00223BOB5 0,000749593 0,000008035 0,000034232 0.000090139 0,000007490 9 10 0,000618ll7B 0,000199952 0,000004058 0,000019BAJ 0,000057442 0,000003745 10 11 0,000000000 0,000000000 0.000000000 0,000000000 0.000000000 0,000000000 11

/
bF.lllCHHARK PRDALEMS FDR PlPUYN l1 CDMPU'.l'Ef< PRUGkAM SRSS COM81NATIO~ Of !HE SEIShlC kESULTS LOAD NllMBC:R LOAD Tl TLE I SRSS

C0~8INATION BENCHMARK PROl:\l,Ei~ r.0.1 ~-ROM r.RC OF THE EARTHQUAKE X:1, Y:::i.,6667, Z:::i.1 0

S'l'RESSES COMPUTED IN ACCOkD WITH USAS B31,1 POWER PIPllllG COl>E

ELEMENT NUMBER f::Li'I.

'l'YPE BRANCH NIJtolBER JOINT NO.

EIJO FORCES Fl IN LOCAL COORDINATES n F3 M1 LBS AND IN*LBS 142 M3

SIF PRESSURE STRESS LOAD COMIHNED ORIG, ST RF.SS STkESS JOINT

1 'l'Ati 1 1 2

19.
19.
12, 12, 36, 36, 3187.
1243.
619, 619, 1422, 471.
1.00 1.00 o.
o.
390, 161.
390.
161.
1*
2

2 l'AN 2 3

14.
14.
10, 10, 29, 29, 1243, 400, 619

619, 471, 389, 1.00 1,00 o.

o.
161, 92, 161.
92, 2
3

3 l:IEND 3 4

8, 8.
8, 8.
6, 1.
400.
817, 389, 295, 619, 144, 1114 1,14 o.
o.
97.
110, 97.
110.
3 4

4 1:1~:rrn 4 5

11.
5, 11, 11, 11.
14, 817, 545, 295, 264, 144, 421, 1.14 1,14 0,
0, 11 o.
89.
110, 89, 4
5

5 TAl'J 5 6

3, 3,
20,

.zo, 17.

17.
545, 450, 421.
421.
264, 273.
1,00 1.00 o.
o, 81, 74, 81.
74, 5
6

6 TAN 6 7

, :, 2.
2, 25, 25, 21, 21, 450.
549, 421, 421.
273, 256, 1.00 1.00 o.
o, 74, 81, 74, 81, 6
7

7 l:IENO 7 8

24, 28, 4,
4, 31.
28, 256.
218, 549, 893, 421.
419, 1,14 1.14 o,
o, 89, 124.
891 124, 7
e

8 l:IEND 8 9

30, 35, 6.
6, 30, 25.
218, 544, 891.
1366, 419, 112.
1.14 1,14 o.
o, 124, 184, 124.
184, 8
9

9 'EA:~ 9 10 33, 33.

25, 25, 20.
20.
10!12.
13110.
112.
112.
9i:i4.
14b7, 1,00 1.00 0,
o, 162.
222, 162.
222.
9 10 9 10 TA~i 10 34, 25. 20. 13BO, 112. l4b7, l. 00 o. 222, 222. 10 11 34, 25, 20. 1723, 112, 2079, 1,00 o. 297. 297, 11 e
0 G
~
e UENCHMARK PROBLEMS FUR PIPDY" II COMPUTER PROGRAM SRSS COH~INATION OF TH~ SEISMIC RESULTS

SUMMARY

OF RESULTS FUR LDAU NUMBER 1

BENCHMARK PROBLEM N0 0 1 FROM NRC LOAD TITLE: SRSS COMBINATION Ot THE EARTHQUAKE X=l, Y=.6667, z;t e-~.

LOCATIONS OF MAXIMUM DISPLACEMENTS DIRECTION JOINT 01HGHlAL DISPLACEMENT 1 DlSPLACC:MENl' 2 DISPI.ACEMEN'l' 3 NIJMBEH NUMUEH JOit.T NO (INCHES) (ll"ICHES) CINCHES) 1 s 5 0,007760814 0.001632926 0.013984452 2 7 7 0.007756976 o.002s104:.16 0.006708994 3 4 4 0.007345920 o.000607496 o.0110021a3 LOCATIONS OF MAXIMUM STk[SSES COMPUTED IN ACCORD WITH USAS b31.1 POWER PIPING CODE IJRAtiCH STRESS DUE TO LOAD 1 COMBINED S~RESS (LOAD 1 t PRESSURE)
NUMBER ELC:MENT STRESS CPS!) ELEMENT STRESS (PSl) l 1 390, 1 390.
FORCES AT bOUNDARY JOINTS (IN GLOBAL SYST~M) ***
. ~**
c- E s LBS M 0 M E N T S NF.W BOUNDARY JOINT NO n f 0 R F2
)
F3

M1 M2 /.I] JOINT NO 1 19. 12. 36. 3187. 619. 1422. 1 11 J9. 9, 25. 807. 2577. 112. 11 NOTE:S: REfER TO f.IOllNDARY CONDIT!Oi* l'AB!,1!; FOR CONSTRAINT CONDITIUNS

~ FOH ~OTAL CONSTRAINT FORC[ AUD NEGATIVE or APPLI~D CONCENTHAT~D LOADS
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3 2,3750 0,154u 0. oou 1 0. 0000 0.0000 0.0000 Pl1D n.ooo 1 0, /0(JQOE+02 0, 2790l1i:':tO!l O,JOOOOf:+oo U 0 tJOOOOF.+OO o.o o.o o.o P14 0 CJ, OIJU()tJ PlbA 1 P16B 1 n,tlllOOO 0.011000 (l, ()O(JOO 0.00000 Plf>C e 15 ll o .1ou~:+o1 O, l'JiJl';tOl o.1ooi::+o1 o.1our+o1 0.100~:+01 0,10011:+01 P1B 1 f> (I O, lOOF.+01 u. 1 n,J1;;+0 l u.1nu!'+Ol l1, l00[+01 0,10UE+01 0,100f~+01 PlR 17 0 O, l 00f:t01 u.1nof:+o1 U,1001':+01 o.1oor~+o1 o .1ooc:+o1 O,lOOF:+Ol PU! ~
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0. 09400E:*02 O,B'l400E*02 P31 P31 P31 0 P61l 8 NATURAL FHEDU~NCY ~ MonE SHAPE ANALYSIS. 01 1 -1 24 0 l 0 02 4 0.00100 24 03 SPECTHUM ANALYSIS 01 2 -1 5 1 0 0 02 24 u.1uoouF+no 0.00000~+00 o.unonoF+oo u.uooooE+oo 0.00000~+00 04 G l 2 0 0 0 J~b4U~+Ol 05 11 06 0.32JOOE+Cl0 0 0 l0352Ft01 0.25000Ft00 0.22541F:+Ol 0,20000Et00 0,22541E+01 07 (!})

0 0 17200f.t01) O,l'lllbF:tOl o, 141no~:+oo o.J0745F:+o1 0.11000E+OO 0.30745E+01 D7 0 0 9100Qf.*Ol lJ,113H7~+01 o,11oour-01 U.20060F:+01 O,SHOOOF.-01 0,20060E+01 07 0 0 2R600f.*01 o,9R340~+oo O.lfi<Jf!Of'.:*02 0 0 37520E+OO @
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THE FRANKLIN INSTITUTE RF.SEARCH LABORATORIES SIONAL STRUCTURES COMPUTER PROGRAM BENCHMARK PROBLEM N0 0 2 FROM NRC. ANALYZED BY PIPDYN II PROGRAM DEVELOPED BY FIRL PHILA 1 PA BENCHMARK PROAL~M 2 Cl

NUCLEAR CODE PER NB*3600 USED **

TYPE OF ANALYSIS ' INFLUENCE COEFFICIENTS FOR ELEMENTS IN PIPE FORMAT 18 TOTAL TOTAL NUMBER NUMBER OF OF ELEMENTS -----u~s~*---*------***-*--------
STRUCTURAL JOINTS *****a*******a*********** 18 TOTAL NUMBER OF FICTICIOUS REFERENCE JOINTS **************e 0 TOTAL NUMBER OF LOADS FOR GENERATION OF DYNAMIC DOF ****a** 24 0 I TOTAL NUMBER or MECHANICAL LOADS -----*-------------------* 0 TOTAi. NUMBER OF THERMAL LOADS *m***---~---**a****-*-------
TOTAL TOTAL TOTAL TOTAL NUMBER NUMBER NUMBER NUMBER OF OF OF OF NON*DYNAMIC LOADS *************************
AUXILIARY ORIENTATION MATRICES ************
AUXILIARY COORDINATE SYSTEMS **************
CONSTRAINED BOUNDARY JOINTS ***************
0 0
0 4
TOTAL NUMBER OF NONGDIAGONAL ELASTIC FOUNDATIONS **o******* 0 TOTAL NUMBER OF JOINTS WITH NON*ZERO IMPOSED DISPLACEMENT

0 TOTAL TOTAL TOTAL TOTAL NUMBER NU141.lER NUMl.IER NUMBER or OP' or OF CROSS*SECTION TXPES ** 0 ***~****************

MATERIALS* -----*ma**** .......................... .
PIPE PRESSURES ~-~----~~------------------
GRAVITATIONAL VECTORS *********************
1 1
0 0
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NUCLEAI< CODF P~R Nb-J~OO U~fO **

TUTAl NUMUF:R OF ELF:~fNTS -*---*-----------***********-*---- 18 TUTAJ, NU"' l~FR OF 51 RUC'fllR AL ,.Jn lHTS *-*---*-***************** 18 TOTAL ~uu~FR OF F!CTICIOUS R~*'F:HENC~ JnTN'fS --------------- 0 TIJTAL NUM9EH CF LUADS FOR GENEPATION OF DYNAMIC DOF ******* 24 TOTAL NU~BER OF ~ECHANICAL LOADS ---*-*************--****** 0 TOTAi* NU~BER OF THERMAL LOADS ***************************** 0 TOTAL NU~BER OF NON-DYNAMIC LOADS ************************* 0 TOTAL NUMBER OF AUXILIARY ORIENTATION MATRICES ************ 0 TUTAL NUMBER OF AUXILIARY COORDINATE SYSTrMS ************** 0 TOTAL NU~BER OF CONSTRAI~ED f\OIJNDARV JOINTS *************** 4 TUTAL NU~UFR OF NON*DIAGONAL ELASTIC fOUN~ATIONS ********** 0 TOTAL NU~BER OF JOJNTS WITH NON*ZERO !~POSED DISPLACEMENT

0 TOTAi* NU~UER OF CROSS*SECTION TYPES *********************** 1 T~TAL ~U~~~R OF MATERIALS ****-***-**--******************** 1 TUTAL NU~UER OF PIPE PRESSURES * * * * * - * * * * * * * * * * * * * * * * * * * * *

0 TOTAL NUMU~H OF GHAVITATIONAl1 VECTORS ********************* 0

CRUSS SfCTlONll..,
XSC:C El,M

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n 0 t00(*000*JE+O1 () .100000001:.+0t 0 0 10000000E-t01 u.10000000E+ot o.10000000F.:+01 0. 100000001'.:.+-01
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1 1~ 1001 0 1 50.00000 0.00000 1.000000 0.000000 0.000000 0.000000-1.000000 0.000000 @
0.000000 0.000000-1.000000 2 1 1001 1 1 0 49.62500 0.00000 1.000000 0.000000 0.000000 0.000000-1.000000 0.000000

3 7 6 1001 1 1 0 1 1 B0 62500 0.00000 0.000000 0.000000-1.000000 1.000000 0.000000 0.000000

4 b 5 tOOl 1 0 1 1 1 0.62500 0.00000 0.000000 0.000000-1.000000 0.000000 1.000000 0.000000 1.000000 0.000000 0.000000 0.000000 0.000000-1.000000 @

0.000000 1.000000 0.000000 5 4 1001 0 1 48.62500 0.00000 1.000000 0.000000 0.000000 ~
0.000000 1.000000 0,000000 4 1 ll 1001 1 1 1 0 1 so.00000 0.00000 0.000000 0.000000 1.000000 1.000000 0.000000 0.000000 0.000000 1.000000 0.000000 0.000000 0.000000 1.000000 $
1 lb 2 1001 1 1 0 1 1 1 50,00000 0.00000 1.000000 0.000000 0.000000 0.000000-1.000000 0.000000 e 0.000000 0.000000-1.000000 8 ~ 10 1001 1 0 1 1 48,62500 0.00000 1.000000 0.000000 0.000000 0.000000-1.000000 0.000000 0.000000 0.000000-1.000000 G
9 10 11 1001. 1 1 n 1 1 8 0 62500 0.00000 1.000000 0.000000 0.000000 0.000000 0.000000-1.000000 0.000000 1.000000 0.000000 e 10 11 12 1001 1 0 1 1 8.62500 0.00000 1,000000 0.000000 0.000000 0.000000 0.000000-1.000000 e 0,000000 1.000000 0.000000 11 12 3 ton1 1 0 1 40.62500 0.00000 1.000000 0.000000 0.000000 9 0.000000 1.000000 0.000000 0.000000 0,000000 1.000000 12 j 17 1001 0 1 1 1 so.00000 0.00000 t,000000 0.000000 0.000000 0.000000 1,000000 0.000000 0.000000 0.000000 1.000000 a 13 12 13 1002 1 0 1 1 8.fi2500 0,00000 0.000000 1.000000 0.000000 1,000000 0,000000 0.000000 ~
0.000000 0.000000-1,000000 G
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'l.000000 0.000000-1.000000 lb ., fl 1. 002 0 1 1 e.62500 0.00000 0.000000 1.000000 0.000000 a1 0 000000 0.000000 0.000000 0.000000 0.000000 1.000000 17 9 1002 1 1 0 1 1 10,00000 0,00000 0.000000 1.000000 0.000000
-1.000000 0,000000 0.000000 0,000000 0.000000 1.000000

1B 9 10 ton2 1 0 1 1 fl.62500 0,00000 0.000000 1.000000 0.000000

-1.000000 0,000000 0,000000 0.000000 0.000000 1.000000 MAXIMU~* ELEMENT LENGTH OCCURS IN f:LF.11,f.llT 12 AND EQUALS 0,50000E+02 INCHES
~11fllil'U~* EL.FMF.N'J' LE"IGTli DCC UPS It.! ELEfvlF.r*T 18 MID EQUALS 0,116250F.:+01 INCH~S MAXJMU~ l':LF.:MF,'..'i'I' .s*nn**~Ess (1(:CURS {N ELF:f<.F.f\IT 3 AND EQUALS O.B6140E+07
,..HIJMUI" f:LEl'IF.NT S'!IFfM~~ss OCCURS IN ELEi*1G;NT 12 AND EQUALS 0 0 17B31E+04

EDIT*,

fSLVH*,

UPD'f*,

TIME=20&51 09.7 CPU a TlME=20&51 34,S CPUa:
TlME=20&51 35. 3. CPUa:
17 .462 SEC 36.499 SEC 36.752 SEC
. . . n. r: h ('. Dl':~F.:LOPf:ll P~l,PA *
!IF.NC'H"f,J.* t,1Rl,~"i*i :i F~u~* ANAL.YZEO BY PIPflYIJ II PROGRAPI UY FillL H.fi:t>CH~' l\fi ~ f' p I )I* J, ~: .; 2
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1 l ]
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0 0 44700E-OI o.447001::-01 o.44700~:-01 2 1 o.447ooc:-01 7 'l 0,44700E-01 2 ] 0 0 447001::-01 3 I 0 0 44700E-01 e 3 2 0.447001::-01 3 .1 0.44700E-01 4 1 0 0 44700E*Ot 4 2 0.44700E-01 3
4 0,44700E-01 5 I. 0 0 43270E-01 5 2 0,43270E-01 s 3 0,43270E-01 6 1 0, 89400E*02

6 2 0 1 89400~:-02 6 3 0 0 89400E*02 7 1 0,43270E*Ol 7 2 0,43270E*Ol 7 3 0,43270E*Ol 8 I 0,89400E*02 8 2 O,B9400E*02 8 3 0,89400E*02 9 t 0.89400E*02 G 9 2 0,89400E*02 9 3 0 0 89400E*02 1 (l I 0,43270E*Ol 10 2 0,43270E*Oi 10 3 0,43270E*01 11 1 O.B9400E*02

11 ?. 0.89400E*02 11 3 O,B9400E*02 12 1 0,43270E*01 c 12 2 0,43270E*01 12 3 0.43270E .. 01 13 t 0,89400E*02 13 2 0,89400E*02 13 3 0 0 89400E*02 14 1 O,B9400E-02 14 2 0,89400E*02 14 3 0.89400E*02

---~------~- .... .._,...._.,_....._""-'-.* n Me

IJ(1fl' NAT. n~r:ou~:1<<"Y UOF JN'f o.549714f.+02 RAO/SF.C IJIR ANAl,YZEO flY MODE SHAPF.:
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1 t 1 0.5470677%-02 2 1 3 *0,8B045083E*02 3 2 l 0,54706769E*02 4 2 3 0. ll R04216H:*O?. 5 3 1 =0,5470562f!£*02 6 3 3 o.aso42t91f~-02 7 4 1 -0.54705636E*02 8 4 3 *0 0 &8045101E*02 9 5 1 *0 0 93952551E-02 10 s l .. o.151155on-ot 11 6 2 0,1954&777E-09 12 7 1 0,93954542E*02 13 8 2 -u. 32!>4951 n:-o4 14 9 2 0,3254829Bl*04 15 9 l 0,56064197E*02 16 tt t o, 10041sou:-06 17 11 2 *0 0 19539122E*09 lB 12 ) 0 0 15115004E*Ol lQ 13 2 *Q

3 2 54 7P ii5t,*04 20 14 2 0 0 3254B95JE*04 21 14 3 -0.56069227E*02 MUDE 1HJMRER 4 NAT, fREUUrhCY 0,255224Et03 RAD/SEC 0,406202Et02 HEHTZ PERIOD 0 0 2461B3E~01 SEC LlOF' ,JNT UtR MODf SHAP~ DOF JNT DIR MODE SHAPE DOF JNT DIR MODE SHAPE 1 I t *0,92562123E*02 2 1 3 *0,16519433E=06 3 2 1 0,92562340E*02 4 2 3 -0,1695549hE*06 5 3 1 0,92562B49E*02 6 J 3 0,16045197E*06 7 4 t -0,92562557~-u?. 8 4 3 0 0 16275050EM06 9 5 1 *0 0 54231064E*05 10 5 3 0,15431567t-09 11 6 2 *0,1B616164E*05 12 7 1 *0,54239983E*05 13 !< 2 -o.Y~22661l~-o3 14 9 2 *0,95226623E*03 15 9 3 0 0 13964485E*07 1f, 11 1 o.s4465B79~-os 17 11 2 *0,1R614B83E*05 1R 12 3 0 0 34023131E*OB 19 13 2 *0,9522b929E*03 20 14 2 *0,95226BR7E*03 21 14 3 *0 0 99560964E*OB

BENCH.'RIJPLF1*\ 'In. :.! ~'RU rJ RC.
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4. U0 130240t::*OR -0.345700~;-04 -0.2736771::-09 5 -o. 4!'141931':-10 - 0

9 41R9 4 ~. w 0 S *0,610456E*09 6 *U 0 7748RQJ::*09 -0,10617%-09 0,791692E*06 7 *0 0 11l542SE*06 o. b04 o a o ~;-o q *0,210275E*OR B *0 :.!115621::*0'3 *O.ll23093c;*10 0

0 0 466389E*08 9 U0 65:.!Q21E*03 *0.109147E*07 *0.302129E*06 10 0.2983!l<lE:*06 0, 94835fit::*OB O,b33653E*03 11 0,4603501::-07 *0,496684E*09 w0ol78181EaQ6 12 O, H0640E*OR 0 0, 52781 H:*Ofl *0,284407E*OB 1l 0,6750161::-10 0,2138361::-03 *0,207900E-09 14 0,72*l043E*10 0.1110101::-os 0.553336E~Ob 15 U,2746-,SE*OR -0.2742391::-06 aQ.289667E*08 16 -0.244888£*06 -0.10954%*08 *0.375906E*l0 17 0,20730RE*09 0, 861331 t::-04 0,511413E*10 18 0 0 20b323E*09 *0,11912BE*06 0.!:>11931E*07 19 0,68~4031::*10 *0.379941E*09 *0,317293E-10 20 o, 33957"/E*OR O,B0031 H:*07 *0,842117E 090 21 *0 0 892263E*07 0.93903%-09 0,411l030E*10

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ANJIJ,YZEO II'{ PIPPH' Tl PRUGHllM lJE:VF.LOP~'.lJ tl'i f'JRI, p,-,PA
'10!)('; l)IRt:CTlUN I lllRECTIUM 2 OIRECT1l1N 3 NOo ~FF~CTIV~ MASS (ACCU~ \) tFtflTlV~ MASS (ACCU~ %) l':F~ECTIV~ ~ASS (ACCU~ %) fREQIJENC'i (CPS) 1 O.lhq105Et00 { 90 0 77%) n.hJ0545E-13 c o.OO%) o.J14024F*OH c o.oo\) 0 0 H74B96F;t01 2 o.Jl7550E-na c 90.71\J o.4n7UQ2E*1J C 0 0 00%) 0.3h92R4Ft0U ( Y1 0 0bl) 0 0 B~5.Pl5F.+01 j n.1107~4~-11 l 90.771J 0.tv7479E-14 c o.OO\) 0 0 115212F.*IO C 91.0b%) o.t75359r.+02 4 0.110492~-12 ( 90.771) 0 77R473f.*04 (
0 0 02%)
0 0 0 487BR9f.*14 ( 91 0 0b%) 0.406202F.t02 5 n.102sn9r.-1s c 90 0 77%) O.hJ4958E*05 ( 0 0 02\) 0 0 7b5130E*13 ( 91.06%) 0,41902bF.t02 b 0.432507E*l3 C 90.77%) o.~120&bE*15 ( 0 0 02%) 0 0 451468E*07 ( 91.06%) 0 0 427147E+02 7 0.249J7UF.*OB { 90 71') 0 o.2o4664E-13 C 0 0 02%) 0.3206R8F-12 ( 91.0b\) o.42R621ro:+o2 B o.aJ4459E-t2 c ~0.77tJ 0 0 5U4415E*15 ( 0 0 02%) 0.161952E*11 ( 91.0b%) 0.43427bEt02 9 o.l74ll4E*01 cton.ou\J 0 0 104551E*10 ( 0 0 02%) 0.001100~-00 ( 91.0b\) 0 0 471491Et02 10 n.H03470r.-oe c1uo.ooi) o.01t6tOE-11 c o.02iJ o.3b2333f*01 ctoo.001> 0 0 478104E+02 11 0.205U64E*09 (100 0 00%) o.2JR711E*tJ c 0.02%) o.Jo1210E-00 c100.001> 0 0 4950R1Et02 12 o.121260F.-10 c100.ooi1 o.2b4017E*10 C 0.02\) 0 0 7b700BEm11 (100 0 00%) 0 0 154938EtOJ
'3 0 0 190532E*13 (100.00%) o.t91206E+OO C 47.17%) 0,1B0564F*12 (100 0 00%) 0 0 325454E+03 14 o.203ss2E-t3 c1on.001> D.171203E*10 ( 47 0 17\) o.tb57BJE-os c100.00%J 0 0 370341E+03 15 o.s21714r.-10 c1uo.ooi> 0.520118E*Ob ( 47.17\) 0 0 5B02B5E*10 (100,00~) 0 0 418545E+03 1b 0.490b12E*06 (100 0 00%) 0.997795E-11 ( 47 0 17%) o.117423E*13 c100.ou\) 0 0 458917E+03 17 0.5b3754Em12 (100 0 00%) 0.973191E*01 ( 71.17%) 0 0 3430B5F.*13 (100 0 00\) 0 0 576433Et03 18 Oo6l373BE*10 (100 0 00\) 0.211274E~Ob ( 71 0 17%) 0 0 390155E*07 (100 0 00%) 0 0 614084E+03 19 O.R0!6S5E*13 (100 0 00%) o.246346E*11 C 71.17%) 0.171B04E*13 (100 0 00%) 0 0 657470E+03 20 0.3B7650E*09 (100 0 00%) 0.215322E*06 ( 71.17%) o.23a401E-10 c100.00%J 0 0 9227R9E+03 21 o.34740BE*06 (100 0 00%) 0.3R47~BE*10 ( 71.17%) 0 0 762552E*13 (100 0 00\) 0 0 105135E+o4 su,. nr 21 o.4055t9E+oo c1uo.ooi> 0 0 2B8610E+OO C 71 0 17%) o,405519E+oo ctoo.ooi)
"1C'!Jf.S TOTAL LUl'Pf:D o.405520Et00 0 0 405520E+OO 0 0 405520Et00 MASS ACCU~=ACCU~ULATEO PERCENT
~FHCM*, Tl~E=20151 56,2 CPU= 47,847 SEC

SHTL*, Tl~E=20r51 56~7 CPU= 47,937 SEC

THERE ARE 5 GROUP OF CLOSELY SPACEU MODES DETERMINED IN ACCORDANCE WITH CRITERIA : 10,00 PERCENT AY GROUPIN~ METHOU, SECTIO~ 1 0 2.1, HEG. GUIDE 1 0 92, REVISION 1,. FEB,, 1976 ***

<::ROUP 11.on~s (NO.* tJAT 0 FR~~O * ) (tJfl.* NAT. fPEQ 0 crw.

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BENCHM RU~L~~ Nn. 2 fHUH NHC.
HMS OF T"~ X,Y Z SEJSMIC HESUL1S ANALYZED BY PIPDY~ Il PkUGRAM UEV~LOPEU BY F!RL PHlLA,PA bUMMARI Of RESULTS fUR LUAU ~UM~lH LOAD TITLE: SRSS COMBINATION Of x,~.z EARTHQUAKE.
LOCATIONS UF MAXIMUM DISPLACEHENTS DlREC'flfJM JOIN'!' llHIGINAL DISPLACEM~Ml' 1 Dl SPLACEMENl' 2 lllUMIJU< ll li "11\~: H JU INT NU PISPl1ACC:MEf>T 3 1
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13 0.457920577 0.002379071 13 13 0.446535360

0. 45792057'1 0.002379071 U0 44b535360 LOCATIONS Of MAXIMUM BEAM THEORY STRESSES BRANCH ELEMENT CORNER NUMl\l':H STf<ESS NUMBER NUf.\l:\ER CPS!)

1 12 1 9837.
f'ORCES A'l' BOUNDARY JOINTS

C!N GLOBAL SYSTEM)

BOUNDARY c **~
JOINT NO f1 F 0 I< ('; s rz LBS )
F3

~11 "1 0 M E N T M2 s IN*LBS ) NEW 15 109. 5b2. Ml JOINT NO 110. 5188.

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15 16 5b2. 110. 51 !Ill, 1 ll 109, 5b2, 1* 5222. 17 110, 518 ll, 2, 5222, 18 NOTES: REYER TO BOUNDARY CDNDITlON TA~LE fOk CONSTRAINT CONDITIONS fOH TOTAL CONSTRAINT FORC~ AUD NEGATIVE UF APPLIED CONCENTRATED LOADS OUTPUT FOH THIS LOADING CONDITION IS WPITT~N ON THE FOLLOWING LOGICAL UNITS FOR POSSIBLE SUBSEQUENT USE FOR NB*J6UO STRESS EVALUATION; LUGJCAL UNIT 2 FILE NUMBER 5
8 PIPDYN II COMPUTER PROGRAM VERIFICATION BENCHMARK PROBLEM FROM NRC

-*~-* "

6 f")
BENCHMAR.K PROBLEM NO, 323A FOR PSEG, FRC PRO, NQ,. 31I*C2530*02 40 41 66 1 7 4 4 2 0 0 0 0 1 lj 1 41 5 1 126,0 483,996 705,840 2 126,0 483.996 704,640 ')
3 126,0 !528,996 659.640 4 12610 567,996 659.640 5 126,0 651,996 659,640 (")
6 126,0 735,996 659,640 7 126,0 8021996 6591640 8 12610 869,196 659,640 (")
9 126,,0 917,196 6591640 10 12610 965,196 659,640 11 126,0 9681196 659,640 ()
12 169.860 1013.196 649,560*
13 173,928 1013, 196 648,624 14 229,836 1013,196 630. 996. (')
15 283.992 1013,196 608,556 16 335,988 1013,196 581 ,484.
17 385,428 101'3,196 550,080 0 18 431.940 1013,196 514,39,2 19 475,164 1013,196 474,780, 20 514.776 1013,196 431,556 385,044 0
21 550,464 10131196 22 581,964 10131196 335,604' 23 609,036 1013.196 283,'608 *. ()
24 631,474 1013,196 229,452 25 6491104 10131196 173,544 26 661.788 10131196 116,304 :_)

27. 6691444* 10131196 58,176 28 672,000 1013,196 -0,396*

29 30 669,444 661,788 1013,196 1013,196
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31 649,104 1013,196 *174,336 32 33 631,476 609,036 1013,196 1013,196

230 I 244.

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RESPONSE

1 4

1 o.o~

p~~CTRIHI 1 ()

flrlf\LYSIS 2 -1 10 1 0 o.ouout 2 1 u 186.4 6 8 2.0 0.010 .90 .J49q .1199 1.6749

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1. 6799

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MAX. X*SE!St"!C APAJ,y,<;IS 1.0 MAX. 'i*tJf.lSKIC A*JAl*Y~lS G

0. 1*0 MAX. Z-SEISMIC ANALYSIS O.O O.O l.O G LINEAH COMRINED S~JSHIC RESPO~S~

1* o t *n 1

C*

II !)
RMS STRESS CrJ;r,p!J'rAT Fii~
40 41 ~ 4 11 SHSS COM~INATlON Of ALL THRER SEIS*lC RESPO~SES e
40 41 1 1 2 0 2 J
SRSS COJtfllNAT!Orl ..<=1.u,~=l.O,MlL* Z=l.O e

l 1.0 -1 l.u -J 1.n 0

0 e
6 0
THE FRANKLIN INSTITUTE RF.SEARCH LABORATORIES 3*1 . *ONAL STRUCTURES COMPUTER PROGRAM e -
PJPDYN II COMPUTER PROGRAM VERIFICATION BENCHMARK PROBLEM NO. 323A FOR PSEG, FRC PRO. N0 0 31I*C2530*02 BENCHMARK PROBLEM FROM NRC G
TYPE OF ANALYSIS ' INFLUENCE COEFFICIENTS FOR ELEM!NTS IN PIPE FORMAT T6TAL NUMBER OF ELEMENTS *********P*************D********** 40 **
TOTAL NUMBER OF STRUCTURAL JOINTS ************************* 41 TOTAL NUMBER OF FICTICIOUS REFERENCE JOINTS *************** 4 TOTAL NUMBER OF LOADS FOR GENERATION OF DYNAMIC DOF ******* 66 TOTAL NUMBER OF MECHA~ICAL LOADS a************************* 0 TOTAL NUMBER OF THERMAL LOADS *m~~----------------Um****--* 0 G TOTAL NUMBER OF NON*DYNAMIC LOADS G**a****Ua******--------- 0 TOTAL NU~BER OF AUXILIARY ORIENTATION MATRICES ************ 1 TOTAL NUMBER OF AUXILIARY COORDINATE SYSTEMS ************** 0 TOTAi* NU~BER OF CONSTRAINED BOUNDARY JOINTS *************** 7 TOTAL TOTAL TOTAL NUMBER NUMBP.R NUMbER OF OF OF NON*DIAGONAL ELASTIC FOUNDATIONS **e*******
JOI~TS WITH NON*ZERO IMPOSED DISPLACEMENT

CROSS*SECTION TYPES *~*********************

---**e*o***----------------------
0 0
4

TOTAL TOTAL TOTAL NUMBEk NUMBER NUMBER OF OF OF MATERIALS PIPE PRESSURES **me******P*****--*------*-*

GRAVITATIONAL VECTORS -~*-*-~*******a******
2 0
O

G e

. .. ~
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NO, 1
2 3
XlClN)
COORDINATES JN GLOP.AL SYSTnl 126.000000 126,000000 126,000000 X2CIN) 483,995998 483.995998 529.996002 X3CIN) 705,839996 704.639999 659,639999
-* e f!!'l 4 126,000000 567,996002 659.639999 5 126,000000 651,996002 659.,639999 6 126,000000 735,996002 ,' 659,639999 7 126,000000 802,996002 659,639999 8 126,000000 i26,000000 869,195999 659,639999 e 9 917,195999 659.639999 10 i26,000000 965,195999 659,639999 11 126,00000Q..- 968.195999 659,639999, 12 169,860001 1013.196000 649,559998
-.>...13 173,928000. 1013,196000 648,624001 u 229,036000 1013,196000 630,990002 15 283,992001 !013, 196000 600,556000 16 335,987999 1013,196000 581,484001 17 385~428001 1013, 196000 550,080002 9 18 431,939999 1013,196000 514,391998 19 475,164002 1013,196000 20 21 514, 776001 550,463997 1013,196000 1013,196000 474.179999 431,556000 385,043999

22 581,963997 1013,196000 335,604000 23 609,;036003 1013,196000 283,608002 24 631 ,473999 1013, 196000 .* 229,452000 25 649il03996 1013,196000 26 27 28 661;,788002 669,444000 672,000000 1013,196000 1013,196000 1013,196000 173,544001 116, 304000 58,176000

0,396000 29 669,444000 1013,196000 -58,968000 ii !

30 *661,788002 1013.196000 *117,096000 H 649,103996 1013,196000 *174.336000 32 33 34 631,475998 609.03600]
581~963997 1013.196000 1013,196000 1013.196000

230.244000

284.400002

336.396000 35 36 37 550,596001 375,312000 345,576000 1013, 196000 1013,196000 1013,196000

385,571999

446,736000

436,500000 38 39 40 262,368000 221,700001 l 79, 160000 1013,196000 1013, 196000 968,195999

.. 407,844002
.. 3Q3,840000

379.188000 41 51

-*->..52 179,160000 582,223000, 126,000000 968.171997 1013,196000 528,995941

379,188000

337.362000 704,603996 ~-',

53 i69,860001 968,195999 649,559998 8 I 54 424,255730 1013,196000 *304,992409 55 221,700001 968.195999 *393.840000 0
Ci
~
e
XSEC CODE 1
2 EJ,M

TYPF.

5 c
c H/OD CIN) 30.000 32 0 000 W/TH CI ri)
AREA
( lNH2) 11
( 1'1H 4)
CROSS SECTIONAL P . . I E S 12 (JtJU4) o.es0.7784E+02.8275E+04.1655F+05.8275E+04 IJ CIN04) Sf1 5F2 o.o 0.905.B841F.+02 0 1CJ69E+05 0 1069E+05,2139E+05. o.o o,o o.o X1 Cll'l) 1s.oo 16,00 Yl (lN) o.oo 0,00 X2
( IN°)
o.oo o.oo Y2 CitO 1s.oo 16.00

1!5.00

16.00 Xl (IN)

Yl CIN) o.oo o,oo X4 (IN) o.oo o,oo (IN)
-1s.oo

16, 00 3

4 s 30.000 12.000 0 0 850,77B4F+02 0 8275E+04.B275E+04 0 1655E+05 o,o o.o 0

905. 8 841 fi:+02 .1069*~+05

2139E+05 .1069E+05 o.o o.o 15,00 16.oo o.oo o,oo o.oo o.oo 15,00 16,00

15,00

16,00 o.oo o.-oo o.oo 0,00

15,00

16,00 MATERIAL PROPERTIES TYPE .

1 TEMPERATURE(F) 10.00 YOUNGrs MODULUSCPSI) 29900000,00 0,300000 COEF 0 OF THERMAL EXPANSION(/F) 0.000000000 SM (PSI) o,oo *

2. 7000000000,00 29900000,00 0,300000 0.000000000 0,00 II

0 0

z **
NO.
2 3
1 10 20
,JOINT C:P[ll'..
('
()
HC-J fl, I 1jOliP()n1;F+Ol

11. l on0ci1.int1Ft n7

" , ?. ~ ()() 0 0 P \; r: t h 0, 1CU(lf111(J0f:+01 (J. ()\"q)OvOUOC:+uo n.tOOOOOOOE+Ol o.10000000F.:.j.07 0,7.5000000F:+OtJ o.1oooooor.Eto1 o.uooooouoc:+oo

0. UflOOOOOOr:+oo HC-5 o.10000000F:+o1 o.ooooooooE+oo o.ooooooooi;;+oo O,lOOOOOOOE+Ol o,ooooooooE+oo o.oooooooor:+oo r*

e t
I 4 ;.!f) "
(* I')*
I) 4 !:>OOlli)f)IJJ'. tOf.;
1i. 2n1in0nuoE:+u7 (1, :l n Ci 0 On 0 Of::+ 0 7 0, 45000U01lE+Ob o.0ooooooor.+vo o.ooooooooi;;+oo o.ooooooooE+oo 5 JO fl I), ()(Jr)lJ0lH1(1F.:t0(* o. 2non1Jo1,n~:+07 o.ooooouooE+oo o.uooooouoic+oo O,OOOOOOOOF,+OO O,OOOOOOOOE+OO e tJ., 34 n, ouooo000F:+oo o * <- o v n 1'i n u'l r: +uIi o.ooooooooE+oo 0.000000001::+00 o.ooooooooE+oo o,ooooooooE+oo
,, 1 r: 0, tuoonunOFtl o (i , 1 0 1i 0 IJ 0 (1 11 r + 1 0 o.1oooouoor.+10 o.1oooooooi;;+12 o,1ooooooor.+12 O,lOOOOOOOE+12 4-DA311t, Tl~E=14&43 21.0 CPO: 10 164 SEC 0
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.TR ELM NO, END 1 . 2 *** HAT 0 ELM. PIPE PRF.5 SIF RF.F CODE TYPE CODE TYPE CODE Li!:G BRAN XSEC NO, . NO,. CODE o!.

UNIT WT, LB/IN e. ,. **

ORIENTATION MATRIX 1 1 2 52 'L\ 1 1 0 1 1 1 1.20000 0,00000 0,000000 1,000000 0,000000 2 3 0,000000 0,000000 1.000000 1,000000 0,000000 0.000000 2 52 1 2 1 1 0 1 1 3 1.57160 0.00000 RAD= 45,0000 0,000000 1,000000-0,oooeoo FLXm 9, 1637 *1,000000 0,000000 0,000000 ECC* 0,0000 0,000000 0,000800 1,000000 3 3 4 52 1 1 1 1 0 1 1 1 39.00000 0.00000 0.000000 0,000000 1.000000 0,000000-1.000000 0,000000

4 4 5 52 l l 1 1 0 1 1 .1 84,00000 0,00000 1,000000 0.000000 0,000000 0,000000 0,000000 1,000000

5 0,000000-1,000000 0,000000 1,000000 0,000000* 0.000000 **

5 6 52 1 1 1 1 0 1 1 1 84000000 0,00000 0,000000 0,000000 1,000000 0,000000-1,000000 0,000000 1,000000 0,000000 0,000000 6 6 7 52 1 1 1 1 0 1 l 1 67.00000 0,00000 0,000000 0,000000 l,000000 0,000000-1,000000 0,000000

7 7 8 52 1 1 1*

. 1 0 1 1 1 66.20000 0,00000 1,000000 0,000000 0,000000 0,000000 0,000000 1,000000
~
0,000000-1,000000 0,000000 1.000000.0,000000 0.000000 ti) 8 8 9 52 1 1 1 1 0 1 1 1 4G.ooooo 0,00000 0,000000 0,000000 .1,000000 o, 000000-1, oo*oooo 0,000000 '1 1,000000 0,000000 0,000000 9 9 10 52 1 1 1 0 1 1 1 48$00000 0,00000 0,000000 0.000000 1,000000 tV 0.000000-1,000000 0,000000 t,000000 0,000000 0.000000
'1) 10 10 11 52 1 1 1 l 0 1 1 1 l.00000 0,00000 0,000000 0.000000 1.000000 0.000000-1.000000 0,000000 l1 11 12 53 1 2 1 1 0 1 1 3 1.!37080 0,00000 RAD*
FLX*
ECC*
45.0034 9, 1630 0,0000 1,000000 0,000000 0,000000 0,974593 0.000000-0,223983 0.223993 0,000000 0,974593 o,ooooooa1.oooooo 0,000000 fi) 12 12 13 53 1 1 l 1 0 1 1 1 4.17429 0,00000 0.000000-1.000000 0.000000

0.974536 0,000000 0,224229

~0,224229 0,000000-0,974536
'l 13 1l 14 53 1 1 1 1 0 1 1 1 58,62125 0,00000 -0.002209*0.999973*0,007007

0,953716 0,000000 0,300710

0 1 300702 0,007347 8 01953690 '-1

{)
(l)
ELN

.TS NO, END *.

14 14 ts 2
RP.F 53 Hl\T. n,~. PJPF. PRES COOE TYPE COllf.
l TYP~;
1 SIF" COL*E 0
LEG BRAN XSEC NO.
1 NO, CODE 1

-*E 50.62104 UNIT WT, LB/IN 0.00000 ORIENTATION MATR~ *eJ-~,

-0,049005-0,991772-0,119268

~

-0.923832 0.000000 0,382798

0.379648 0,128019*0.916231 15 15 16 53 1 1 1 0 1 1 1 58 0 62147 0,00000 *0,157599-0.939968*0.302694

-0.886979 0.000000 o.461010
-0,434087 0,341264*0,833731 16 16 17 53 1 1 0 1 1 1 58.57068 0,00000 *0,308193*0,818293*0,485195
-0,844108 0.000000 0,536173 '
17 17 18 53 1 1 1 1 0 1 1 1 50.62593 0.00000
-0,438746 0,574801-0,690728
-0,461445*0.652217*0.601399
-o.793369 0,000000 0.608741

0,397031 0,758032*0.517449 fl 18 18 19 53 1 1 0 1 1 1 59,62956 0,00000 -0.584124*0,502531*0,637387

-0,737239 0,000000 0,675632
-0.339526 0,864559*0,370485

0 1 50 0 62955 0.00000 *0,679580*0,3876&7*0,622792 ~

19 19 20 53 1 1 1 1 1
-0,675632 0,000000 0,737239.
-0.295818 0,921791*0.261934
!fl 20 20 21 53 1 1 1* 1 0 1 1 1 SG,62593 0,00000 -o.7s51eo-o.304162*0,s19099

0,606741 0.000000 0,793369

-0.241313 o.952620-o.1e51s6

21 21 22 53 1 1 1 1 0 1 1 1 58,62221 0,00000 *0,817876*0,243998*0,521098

-0,537339 0.000000 0,843366
-0,205779 0,969776-0,131109 22 22 23 53 1 1 1 1 0 1 1 1 50.62148 0,00000 *0,869071*0,199926*0,452487

0,461810 0,000000 0,886979 23 23 24 53 1 1 1 1 0 1 l 1 SB,62027 0,00000

0,177330 0,979811*0.092328

0,910869*0,167013*0,377392 0 58.62185 0,00000

0,382769 0,000000 0,923844

0,154294 0,985955*0,063927

0,944054*0,141907*0,297698 24 24 25 !13 ' 1 1 1 1 1 1 1

-o,300141 0,000000 o,953706 6

0,135337 0,989880*0,042677 25 25 26 53 1 1 1 1 0 1 1 1 58,62851 0,00000 *0.968977*0,122391*0,214719

0.216345 0,000000 0,976317 26 2b 27 53 1 1 1 1 0 1 1 1 58,63001 0,00000

0,119492 0,992482*0,026479

0,985744*0,107016*0,129832

0,130582 0,000000 0,991438

0,106100 0,994257*0,013V74

Q 61

ELM **9 JOINTS NO. END 1 El'W 2

MA1' 0 ELM. PI p~: PRFS REf CODF.: Ti'.PJ:; CODE TYPE'.:

SH" cooe:
LEG BRAN XSEC NO. N0 0 CODE f,ENGTH OR ANGLE UNIT WT 0 LB/IN ORIENTATION MATRIX CI,J')
G 27 27 28 53 1 1 1 0 1 1 1 50,62774 0.00000 *0,994565*0,094645*0.043401
-0,043597 0.000000 o.999049 u0,094555 Oo9955ll*0.004126 @
28 21! 29 53 1 1 1 0 1 1 58,62774 0.00000 -0,995467*0,084601 0.043441 0.043597 0.000000 0,999049 G
-0,084521 0,996415 0,003688 29 29 30 53 1 1 1 0 1 1 1 sa.s1001 0,00000 *0,988545u0,076330 0.110201 e 0,130582 0,000000 0,991438
-0,075676 0,997083 0.009967

6 30 30 31 5] 1 1 1 0 1 1 1 59.62851 0,00000 e0,973958*0 1 069476 0,215823 o.216345 0,000000 0,976317

-0.067831 o.997584 0,015031 fl 31 31 32 53 1 1 1 1 0 1 1 1 50.62125 0,00000 *0,951778*0,063717 0.300099 0,300710 0,000000 0,953716 G

0.060768 0,997968 0.019160 I.

32 12 33 53 1 1 1 0 1 1 1 50,62104 0,00000 -0,922231*0,058857 0,392114 I 0 0 382798 0 0 000000 o.923832

0.054374 0,998266 0.022530 Cl 33 33 34 53 1 1 1 1 0 1 1 1 58.62149 0,00000 -0,885649*0.054739 0,461118 o.461810 0,000000 0.886979 a0 0 048552 0 1 998501 0,025279 fj 34 34 35 53 1 1 1 1 0 1 1 1 58 0 12864 0.00000 *0 0 841979M0 1 051205 o.537075 0,537790 0.000000 0,843095 tii

-0.043170 0,998688 0.027537 35 35 36 54 2 1 1 0 1 1 3 i,33536 0,00000 RADII 149, 8497 *0,84311] 0.000000 o.537736 I FLXr: 2,7519 o.oooooou1.oooooo 0.000000 ECC1:1 0.0000 0,537736 0,000000 o.843113 G
36 36 37 54. 1 1 1 1 0 1 1 . 1 31.44846 0,00000 0,325485 0,000000 o.945547 0,945547 o.oooooo-o.l25485 0.000000 1,000000 0.000000 e 37 37 38 0 1 1 1 1 O* 1 1 1 eo.00419 0.00000 0.092499*0.958804 0,268588 0,945500 0,000000*0.325621 e 0 0 312206 0,204069 o.906549 38 39 39 0 1 1 1 1 0 1 1 1 <.13.01161 0.00000 o.092493-o,959eoo 0.260602 GI o.945512 0,000000-0.325507 0.112112 0,2940*1 o,906557 Ell 39 39 40 55 2 2 1 1 0 1 1 2 i.57080 0,00000 RADm 45,0000 o.000000A1.oooooo 0,000000 FLX= 9,7936 -o,325654 0 0 000000-0.945499 EC Cu 0.0000 0.945499 o,oooooo~o.J25654 (I
' a
PIPDYN.11Pll1'ER PRnGRAll VERIFICATION B~NCHMARK PRORLEM FRO~ NRC BENCH~A RO~L~M N0 0 323A FOR PSf:l>, Fi<C PHO. N0 0 31I*C2530*02 AO Dl 'f I Gr~ AL ~iASS TO THE SYSTEM JOINT DIRECTION ADDITIONAL MASS 4 1 0.99250E+01 4 2 0.992501::+01 4 3 0 0 99250E+01 5 1 0.54530E+Ol 5 2 0.54530E+01 5 3 0 0 54530E+01 6 1 0 0 48880E+01 6 2 0 0 488BOE+Ol 6 3 0 0 48880E+Ol 1 1 0 0 5!l8BOE+01 1 2 o.seeeoE+o1 1 3 0 0 51l9BOE+01 9 1 0 0 53730E+01 9 2 0 0 53730E+01 9 3 0 0 53730E+01 11 1 0 0 39500E+01 11 2 o.395oot.:+01 11 3 0.39500E+01 12 1 0 0 24300E+01 12 2 0 0 24300E+Ol 12 3 0 0 24300E+01 13 1 o.39410E>t01 13 2 0 0 39410E+01 13 3 0 0 39410E+01 15 1 o.76092E+o1 15 2 0.76092E+Ol 15 3 0.76092E+Ol 17 1 0.76092E+01 17 2 0 0 76092E+01 17 3 o.76092£+01 19 1 0.76120E+Ol 19 2 0 0 76120E+01 19 3 0.76120E+01 21 1 0 0 76110E+O!
21 2 0.76110E+01 21 3 0.76110E+01 23 1 O. 7b110E+01 23 2 0 0 76110E+Oi 23 3 0 0 76110E+01 25 1 0 0 76110E+01 25 2 o. 76110E+01 25 3 o. 76110E+01 27 1 O, 76110E+01 27 2 0 0 76110E+01 27 3 0 0 76110E+01 29 1 0 0 76110E+01 29 2 O. 76110E+01 4 29 3 0.76110E+01 31 1 0 0 76110E+01 31 2 0.76110E+01 Ii 31 3 0.76110E+01 35 1 O.i0293E-t02 35 2 0 0 10293£+02 41

1. U

I b'l 1 U t. -t V l 31 31 31 35 2

3 1
2

o. 7ti110E+Ol O. 76110E+01 0.102931::+02 0 0 10293E+02 e

35 35 Jb 36 3

2 l
0 0 10293E+02 0.75180E+01

o.75180E+Ol

. ~

36 37 37 3
1 2
0 0 75180E+Ol 0 0 38770E+01 Oe38770E+Ol 37 38 38 3
1 2
0 0 38770E+01 0.10528E-t02 0 0 10528E+02 38 33 33 3
1 2
Oe10528E+02 0 0 76010E+01 0 0 76010E+Ol 33 3 0 0 76010E+Ol 0
Ii fl
, PIPDYN FREQUEN
~PUTER D MODE HOOE NUMBER PHOGRAH VERIFICATION SHAPE NAT. FRECUENCY 0.416314E+02 RAD/SEC BENCHMARK PROBLEM FROM NRC 0,662585!:+01 HERTZ PERIOD 0,150924£+00 SEC 9,_
DOF JNT DIR /!!ODE SHAPE DOF JNT DIR MODE SHAPE DOF JNT DIR MODE SHAPE
,,~
1 4 1 0.1155079BE*04 2 4 3 0,66685535E*05 3 5 1 0, 18J71ll6E*04 4 5 3 0.12562090!!:*04 5 7 2 0,26222956E*05 6 7 3 0,15753413E*04 7 9 1 0

49118156E*05 8 9 l 0,88066198E*OS 9 11 1 *0,66890852E*05 Iii 10 11 3 0,2640B908E*OS 11 12 2 0,21652517E*04 12 12 3 *0,60343332E*06 13 13 1 *0,24586979E*04 14 15 1 *0,18139707E*04 . 15 15 2 0,58225753E*04 16 15 3 0,18903615E*04 17 17 1 *0,12490960E*04 1B 17 2 0,61544842E*04

~ i.9 17 3 0,29480474E*04 20 19 1 *0, 103431141!:*04 21 19 2 0, 25013292E*04 22 19 3 0,32554512E*04 23 21 i *0,89045020E*05 24 21 2 *0,49955369E*04 25 21 3 0,34283555E*04 26 23 1 *0,43579665E*OS 27 23 2 *0,10424841E*Ol
) 28 23 3 0,37552921E*04 29 25* 1 0,10844797E*04 30 25 2 *0,32520456E*04 31 25 3 0,43470547E*04 32 27 i 0,5625579BE*04 33 27 2 0,23004756E*Ol 34 27 3 0,52058276E*04 35 29 1 0, 11932847E*03 36 29 2 0 0 23900594E*03 IJ 37 4o 43 31 33 36 2
l 2

0,86421886E*03 0,314573JBE*04

.. 0,47433931E*02 38 41 44 31 35 37 3
1 1
0.46536326E .. 04 0,29610015E*03 0.37900923E*03 39 42 45 33 35 37 1
3*
.3 0 .21366321E*03

0.1657785U*04

0,27616803E*03

46 38 1 0,36902301E*03 47 38 3 *0 0 30493716E*03 f' MODE NUMRER 2 NAT,_. FREQUENCY 0,637950E+02 RAD/SEC 0,1~_~533E+02 HERTZ PERIOD 0,984902!*01 SEC t DOP' JNT DIR MOOE SHAPE oor JNT oor JNT MODE SHAPE DIR MODE SHAPE DIR ii 1 4 1 *0,34688773E*04 2 4 ] 0, 13869534E*04 3 5 1 *0,53274092E*04 4 5 0,25524564E*04 10 13 7 9 11 3

1 3

Ci,35099882E*05

0,23182060E*04 11 5

8 7
9 12 2
3 2
0,48512408E*05

0,29173095E*05

O, 30582115E*04 6

9 12 7
11 12 J
1 3
0,24377458E*04 0,28926107E*04.

0,907935361::*04

i6 19 22 13 15 17 19 1

3 3
3 0,57302210E*04

0,14830406E*03

0,12999390E*03

0,49714187E*04 14 17 20 23 15 17 19 21 l

1 1
1 0,3973253JE*04 0,5J029125E*04 0,12295120E*03 0,23741561E*03 15 18 21 24*
15 17 19 21 2
2 2
2

0,51513185E*04

0,40925642£ .. 04

0,14498841E*04 0,49268522E*05 25 21 3 0,44206162E*04 26 23 1 0,25658056E*03 27 23 2 0,80590249E*05 Cl 28 23 3 0,564308001:;*04 29 25 1 *0,98193588E*04 30 25 2 0,37999737E*05 Ji 25 3 *0,67988866E*04 32 27 1 *0, 110229J8E*02 33 27 2 0,3756368.2E*05 34 27 3 *0,23932514E*03 35 29 1 *0,23424967E*02 36 29 2 0,42484729E*OS 37 31 2 *0,12820153E*04 38 31 J *0,15705231E*03 39 33 1 *0,25286859E*02 40 33 3 *0 0 31708789E*03 41 35 1 *0, 14678526E*02 42 35 3 *0,93660018E*03 43 36 2 *0,1340J519E*03 44 37 1 *0,61830303E*03 45 37 3 *0,15760416E*02 a 46 39 1 00 0,33727527c:-03 47 39 3 co0,77943818E*03 G

G ft
PIPDYN I.LITER PROGRAM VERl'f lCATION FREOUENC~ MOOF. SHAPE BENCHMARK PROBLE~ FROM NRC e

MODAL PARTICIPATION FACTORS lllODE 1

DIRECTION 1 0 1 154905E*01 DIRf':CTIUN 2

0,144070E+00 DIRECTION 3

0 0 311697E*02 2 .. 0,899575E*dt' *0,3Jl359E*02 *O 0 *471269E*O1 0 l -o,s1e406E*02 *0,364647E*01 *0,22651BE*01

0,168929E*01 4 *0 0 295729E*02 0 0 433463E-01 5 *0,3]107SE*Ot -o.20001si::-02 *0,744685E*01 6 0,454759E*01 -0.2505991:;*01 *0,260755E*01 7 *0,3t5552E*01 *O,B81811E*03 *0.288239E*01 8 *0,426761E*01 *0, 13217BE*01 0 0 306395E*01 9 0,687465E*02 0,580059E*02 *O

349348E*02 0 0 324062E*02 10 11 12 13

0,610944E*04

0 0 755017E*02 0,20832SE*02

0,25081RE*03 0 0 333102E*01

0,582210E*02

0,517846E*02

0 0 169634E*01

0,345149E*02

0,693916E*02 0 0 42B276E*02 14 *0~621040E*02 *O,B72818E*03 0,546542E .. 02 0 15 *0,126859E*01 0,25f>569E*02 0,886Bf>9E*02 16 0,144232E*02 *0,222070E*02 *0,4B1534E*03 17 0;4e9e1oe:-02 0,324152E*03 0 0 357316E*02 18 *0,860506E*03 *0,153677E*01 *0 0 197056E*04 19 *0 0 423538E*03 *0 0 207288E*02 o.295827E*02 20 0 0 205410E*02 *0.639359E*02 O,B23972E*Ol 21 *0 0 440152E*04 *0,497057E*02 *0.381070E*03 0, 136423E*02 22 *0 0 194141E*02 0.296978E*02 23 -o.1s2679E*02 *0,671001E*03 0 0 129078E*Ol 24 *0 1 736920E*03 *0,320089E*03 o.eo6194E*Ol 25 *0*10684RE*02 *0 0 193663E:*02 0 0 16B746E*02 26 27 28

0 0 129769E*02

0 0 593172E*03 0,552774Em03 0.373545E*03 0,869507Em03

. 0 0 104955E*03

0, 111815E*02

0 0 159404E*02

0.441463E*03 29 30 31 0, 112656E*03 0 0 763169E*04

.*0,187310E*03

0,790233E*03 0,4979B7E~03

-0.159441E*03

0.914462E*04

32 *O, 206313E*04

0,307964E*03

0 0 705661E*03

0 0 3B6100E*03 0.3512B7E*04 33 34 35 36 0, 131154E*04

0,126137E*03.

-o.es2340E*04

0,422082E*04 0,742301E*04

-o.48814%:-01

0.528104E*03 0,692706E*03

0,776011E*04 0,147660E*03 0,275035E*03

0,667203E*03 37 38 39

0 0 902744E*04 0,6109B0E*04 0 0 363120E*04

0,135231E*03 0,134992E*03 0 0 11B113E*05

0,653527E*04

0,342631E*04 0,155254E*03

40 41 42 43 0 0 149415E*04 0,301923E*04

0,408231E*03

. 0 0 734937E*04 0 0 166!l94E*03 0,125219E*03

0,431573E*03 0,123868E*03

.. 0,144599E*Ol

0,810975E*04 0,141104E*03

-o.567192E*04 44 *0 0 168070E*05 0 0 310552E*04 *0,173446E*04 e 45 *0,924430E*06 0.193701E*04 *0,101230E*04 46 0,126234E*05 0,110054E*04 *0,733980E*05 47 0,2ll218E*06 0,552526£*05 *U,225957E*05
PROGRAM VERlf"ICATION SHAPE BENCHMARK PROBLEM FROM NRC 9**
MODAL EFFECTIVE MASS I

11001 110.

I DIRECfION 1
~rrECTIVE HASS o,415~86E+00 (
(ACCUM \)
0.28\)
DIRECTION 2 EFFECTIVE MASS (ACCUM \)
0,359792E+Ol ( l3,96U DIRECTION 3 EFFEC.TIVE MASS CACCUM \)
0,168387E*01 ( o,01u FREQUENCY (CPS) 0,66258SE+Ol 1
5 J
J o,l29J4JE+02 ( 22,21%)
o,J93736Et00 ( 22,34%)
o,247770Et01 ( 23,99\)
0,105110Et02 ( 30,99%)
0,446861Eu01 ( 23,99\)
0,959549Et01 ( 30.37U 0,759329E*01 ( 30,42%)
0,383634E*01 ( 30,45U 0,903B81E+01 ( 6',03\)
0,369990E+01 ( 8,49\)
0,163134Et02 ( 19,36,)
0,531785Et02 C 54,77\)
0,101533E+02 0, 135131E+02 0, 148 300Et02 0,155853E+02 0 o,261657E+02 ( 49,41%) 0,84610bEt01 ( 36,08\) 0,860269Et01 ( 60,50\) 0,179021E+02 6
7 0,147535Et02 ( 58,24%) 0, 115214E*01 ( 36,09%) 0,123099Et02 ( 68,70\) 0,193730E+02 a 8 9
0,342754Et02 ( 81.06%)
0, 11J452E+01 ( 81,82\)
0,328800E+01 ( 38,28'!)
O,B07714E+OO ( 38,82')
0,176664E+02 ( 80,46\)
0 0 292974E+OO ( 80 0 66%)
o.21e33n:+o2 0,2465911!:+02 10 0,357~95E+Oo C 82,06\) 0,21439SE*02 ( 39,82\) 0 0 990673E+Ol ( -87.191f;) 0,293812E+02

11 12 13 0,144441E*03 ( 82.06')

0,23B195Et01 ( 83,64\)
0,194089Et00 ( 83 0 77\)
0,429392E+02 ( 67,41')
0,141638Et01 ( 68,36\)
0.,119925E+01 ( 69, 16\)
0,461002Et00 ( 87,50\)
0,201202E+Ol ( 811.84%)
0,820269Et00 ( 89,38\)
0,313087E+02 0,325334E+02 0,336569E+02 dJ 14 0.2206231!:+01 ( 85.24%) 0,435771E*01 c 69,19\) 0,170B67E+Ol c 90,52%) 0,380650Ei-02 15 0,122356E+02 ( 93,39\) 0,500486E+OO ( 69,52') 0,599001E+01 ( 94,50\) 0,439845E+02 16 0.164868E+OO C 93,50\) 0,390834E+OO ( 69, 78U 0,183765E*01 ( 94,52\) 0,448049Et02
") 17 0 0 25.1121E+01 ( 95,17\) 0.109983E*Ol ( 69,79~) 0,133638E+01 c 95,41%) 0,514913E+02 19 0,809897E*01 ( 95,23\) O, 258310E+02 ( 86,99\) 0,424719E*04 ( 95,41\) 0,526358E+02 19 Oo223883E*01 C 95,24%) 0,536271E+OO ( 87,35\) 0 0 109222E+Ol c 96,13') 0,562262E+02

' 20 0,6144141!:+00 ( 95,65%) 0,595263E+Ol ( 91,31\) 0 0 988655E*01 ( 96,20\) 0,6073l7Et02 21 22 0,303951E*03 ( 95,65%)

0,388076E+OO C 95 0 91\)
-* 0,387624E't01 ( 93,89\) 0,227828E*01 ( 96,21') 0,630405E+02 0 0 78591BE+OO ( 94,41') 0 0 183790E+01 ( 97,44%) 0,7267611!:+02 23 0,526151E+OO C 96,26\) 0,101625E+OO ( 94,48\) 0,376061£-02 c 97,44\) 0,756131E+02 24 0,131932E+OO ( 96,35\) 0,24R915E*01 ( 94,50\) 0,157903E+OO ( 97,55%) 0,784467E+02 25 0,340162E+OO C 96,57\) 0,100508E+01 ( 95,17') 0,949447Et00 ( 99,11\) 0,968757E+02
~ 26 0,514396E+OO ( 96,92\) 0.4328741!:*01 ( 95.20\) 0,387863Et00 ( 99,37%) 0,886457E+02 27 Oo129113E+OO ( 97 0 00\) o. 21s2e1E+oo* c 95,38%) 0 0 913611E+OO ( 98,98%) 0,96036JE+02 28 0 0 1l1599E+OO ( 97,09\) 0.474423E*02 ( 95, 38\) 0,839358E*01 ( 99,03') 0,104448E+03
' 29 30 31 0,607297E*02 ( 97,09%)
0,328416E*02 ( 97,10%)
o,205999e: .. 01 c 97,11\)
0.291300E+OO ( 95,58'11) 0, 139836E+OO C 95,67\)
0.556854E*01 ( 95, 7U) 0,121645E*01 ( 99,04')
0,471536E*02 ( 99,04\)
0,875268E*01 ( 99,10\)
0, 110095E+Ol 0,119512E+03 0,121953Et03

~ 32 33 0.312760E*03 ( 97,11\)

011393571!:*03 ( 97,11%)
0,365892E+OO C 95,95%)
0,4464021!:*02 ( 95.9511) 0,906741Ea03 ( 99 0 10\)
0,4878671!:*02 c 99,11\)
0,136427Et03 0,143253E+Ol 34 0, 130769E*01 ( 97,12,) 0.195849E't00 ( 96,09\) 0,179202E*01 ( 99,12\) 0, 144287E+03
) 35 0,627983E*02 ( 97,12%) 0,241090E+OO ( 96.25%) 0,6538BOE*01 ( 99.16\) 0,147973E+03 36 0,163795E*02 ( 97,12\) 0,44l167E+OO ( 96,54') 0 0 4092B1Et00 ( 99,43\) G,152606E+Ol 37 0,940399E*02 ( 97,13%) 0,211027E.,01 ( 96.55'5) 0 0 492846E*02 ( 99.44\) 0,170967E+Ol Ii> 38 39 40 0,612919E*02 ( 97.13%)
0,258718E*02 ( 97,14%)
0,583016F.*03 ( 97.14%)
0,299196E*01 ( 96,57')
0, 273728E*05 ( 96,57\)
0,7274031!:*01 ( 96,62U 0,192748E*02 ( 99,44\)
0,472946E*Ol ( 99,47\)
0,546040E*01 ( 99.51%)
0, 203934E+Ol 0 0 222938E+03

0,257197E+03 i> 41 42 43 0,307504E*02 ( 97 0 14%)

0,677711Et00 ( 97,59'5) 0,2267R7E*01 ( 97,61\)
0 0 5299JOE*01 ( 96,66'5)
O, 757427Et00 ( 97,16%)
0,644225E*Ol ( 97,20%)
0,221858E*01 ( 99,52\)
0,809674E*01 ( 99,58\)
0 0 135076E*01 ( 99058\)
0,292314Et03 0,320949E+03 0,3261211!:+03
~ 44 45 46 0,156715E*04 ( 97.61%)
0,623252E*05 ( 97 0 61%)
o.14os22~-04 c 97.61'5>
0,535060E*02 t 97,21')
0,273640E*02_( 97.21')
o.166902F.*02 ( 99,59\)
0.747368E*03 ( 99.59\)
c 0,374875E+03 0,429912Et03

0,1068011E*02 ( 97,21') 0.474941E*03 99.59%) 0,472623Et03 ii 47 0,533821E*06 ( 97,61%) 0,299624E*03 ( 97,21\) 0.500656E*04 ( 99,59\) 0,498604Et03 Bllfll OF i;l 47 O, t46566Et03 97,61\) 0.145973Et03 97,21') 0,149540F.+03 99,59%) Q MODES

) TOTAL
~ (j
PJl'PYt! l SflSS C'O~*f11.,
'l'Tt: nf P/(f11_;1111** VJ*.r> J ~I f'f,T.1 r 1*.
ld.f, 'Jr*:FI. ;:.~.l.'il*. TC J.'f*:::.PL.l"l5F.S e ..
Rt,,SIJl.'l fl.'<; DHiPLAC:E1~ENTS l"UR I. 0 A[) ~1ll~1A~:R
( I rJ GLOUAL COOHUTh~T~ SYSH~r. )
JNT NU 0 lll SP l1ACF./'.Fi, T 1 IH;>l'LPCFI* F(,T 2 [;I C.P!,JICF.MF.~. T 3 . RU1'AT!Ori I ROTATION 2 ROTATION 3 NEW 1'-l(H!:.S l l*iCl-'F~ UJCH!::S Rf.t.ll Ml S Ii AD I ANS RADIANS JNT 0 N0 0 1 0 0 !lrJ1in(J'lOClO <*

o o o n u n u o o 0.000000000 0 0 0ClOOOOOOO 0.000000000 0,000000000 1 2 l*.unonl)'ll 3~ (r. {)0(10002112 0.000000445 o,onoooo332 0.000000221 0,000000379 2 3 0 0 0Cl3134131 u 0 no1714li9& o.00221:13011:J o.oooos40A!i 0,000059b2b 0,000054B92 3

~ (),0!'5737&40 u

ll 0 1 7 3 f, 3 <l 4 0,004250401 0,000()50264 0,00005R746 *o,oooo52b49 4 s 0 0 1l(lt)R!J?17*l IJ * \J 0 l 7 7 4 ':14 4 0.001609990 0.000030320 0,000057573 0,000031143 5 6 C>.01un7ri112 () 0 0(llfl0044t (J,0001:112111 0,00000757':1 0.000057431 0,000005229 6 7 IJ 0 CJOH'17'i5R2 (J,U01A337fdi 0,007905616 0,000026163 0,000050064 0.000029910 7 8 1.J 0 01lb42?l'H L.0011353545 0,005578162 0,000043726 0,000059317 0 0 00004R024 B.

9 o.on4?1133b u.0011168116 0,003362697 o.ocoosobo1 o.oooCl60596 0,000054069 9 10 (J. 002nf.on5 0,on1R7%94 U,001370514 o.0Cloos1942 0 1 000Cl62165 0,000054606 10 11 o.00275Cl1S6 (1, 001 R8C1423 0,001310090 0,000051642 0,000062272 0,000054496 11 12 I). 1)0 4677634 Ll. 003257146 o.OCl455277& o.oooCl45103 0,0000538fi6 0,000057512 12 13 0, OO*'t707 366 0.003436696 <*.004737980 0,000044901 0,000053447 0,000057425 13 14 0,0115339558 (J,00593°142 0.001195097 0.000042531 0,000043692 0.000052109 14 15 o.ons9ti5o7.2 o. (J07R 19H06 0,001!951031 0,00004211 b 0,0000261:132 0,000039123 15 16 n. 006341248 0,0Clll469f159 0,00%09959 0.000044460 0.000012493 0,000024018 16 17 0,000211053 (). 007776187 0,009210579 0 0 000048615 0,000022044 0,000016761 17 lP 0,005537558 0.0058403fi3 0,007903498 0.000051597 -0.000030232 0.000022929 18 19 0.004660687 0,003191350 0,006377403 0.000049996 0,000045989 0,000021l516 19 20 0.0()4761141 (1. 00()8,i 9793 0,004995289 0,000042555 0,000043901 0,00002R730 20 21 0,0047672'39 0,002249812 0,004273919 0.000031911 0,000033976 0.000026249 21 22 o,on5432304 0,00372P50H 0,003990948 o.orioo20111 0,000021148 0,000023689 22 23 0,005'i9f!225 0,004223b28 0.003020503 o,ooorit2b59 0.000015166 0,000023263 23 24 fl 0 0Cl497Q31ll 0.003575266 0.003632656 0,000019634 o.o000292R2 0,000027451 24 25 o. 00410%99 0,002099714 0,003527345 0,000020235 0,000049045 0,000035056 25 26 0.005121091 0.001401955 0,0035J:j629B 0,000034941> 0,000071490 0,000044312 26 27 o. 0090Hi826 0.003497462 (J,003794083 o,0000329n9 0,000086869 0,000052684 27 28 0,013%11;84 (J.004883536 0.003903596 0.000006103 O,OOOOB5018 0,00005R481 28 29 O.Otf;394484 (1,003644857 0.003022659 0,000040020 0.000060111 0,000063330 29 30 0,07.1460191 0,002056843 0,003602578 o,00012q439 0 .000041996 0,000068825 JO 31 0.022719597 0,01275343~ (J.003334835 0,000211935 0,000020200 0.000010092 31 32 o.02201*;is5 1),02751'1179 0.003095770 0.000210119 0.000037424 0,000064935 32 (i I 33 0 0 019f.3Q449 0,0444667Rt 0.003309560 0,000305778 0,0000643'58 0,000050191 33 34 0,0160~3143 (J,061846759 0,004714236 0.000322904 O.OOOOB'.i124 0,00002Bb13 34 35 O,IJ12161l144 (J,07f;077751 0.007333822 0,00032543ll o.000095011 0,0000191l84 35 36 0.007A8R529 O,Ofi9R9fi24tl o.0145371l30 0.006246452 0,000053573 0,000281349 36 37 0.007399':177 0,05b8311:l31:l o.ot29!l9764 0,000239230 O,OOOOb4b88 0.000297359 37 38 0,0%067511 0. (J2b~27125 0,007637177 0.000211120 0.000000910 0. 000317966 38 39 o.ons1;ii644& 0.0110!12069 0.005206590 o.0001923fi9 0,000078650 o. 000312277 39 40 o.0'100019?2 (1.0000011!15 0.0000001:116 0,00()001377 0.000000999 0.000001111 40 41 <*

o no o o 1. 9 n 6 O.OC'(JOOt!l51-< 0.000000010 o.ooooot36b 0.000000909 0.000001698 41

PIPDYN I COMPUTER PHOGRAM*VERJfICATlON

e:

SRSB C IATION OF ALL THRE~ SEISMIC RESPONSES BENCHMARK PROBLEM FROM NRC LOAD NUMBER 1 LOAD TITLES SRSS C INATION x~1.0,Y=t.o,AND Z*l.O STRESSES COMPUTED IN ACCORD WITH USAS 831 0 1 POWER PIPING CODE
!LEM!NT NUMBER ELM 0 TYPE BRANCH NUMRER JOINT N0 0

F.ND FORCES IN LOCAL COORDINATES LBS AND IN*LBB *** PRESSURE LOAD COMBINED ORIG, f1 F2 F3 Hl M2 Ml SIF STRESS STRESS STRESS JOINT 1 TAN 1 863. 1156. 46281, .60154.

2 863. 1156. 44967. 60154, 69439, 1.00 o. 186, 186. 1 67489, 1.00 o. 183, 183,. 2 2 BEND 2 1156. 863. 4<\\924, 67489, 60187. 2.02 o, 3 1156. 1875. 10879, 29087, 429. 2 17555, 2.e2 o. 162, J 3 TAN 1 3 863. 1875.
0 4 863.
1156. 10879. 17555. 29087. 1,00 o, 65,* 65, J 1875. 1156, 38291. 17555, 49124. 1,00 o*. 111. 117, 4 4 1 4 1598. 659. 38291. 17555, 5 1598. 659, 91621. 17555, 49124. 1.00 o. 117.* !17. 4 83723, 1,00 o. . 227. 227. 5
!S 5 306. 1448.
0 6 306. 1448.
91621. 17555. 83723. 1,00 o, 227,. 221. 5 107149. 17555. 97935. 1.00 o. 266,* 266.*. 6

6. TAN 1 6 254. 1312. 312. 107749. 17555. 97935, 1.00 .o. 266,* 266,*

7 254. 1312, 312. 91792. 6 17555. 87385. 1.00 o, 23l,* 232, 7 7 TAN 1 1

596. 1154. 110

91792. 17555, 87385. 1.00 o.

8 - 596. 1154. 110. 5i775, 232 .. 232. 7 17555. 50995. 1.00 o*. 136.* 136. 8 e TAN 8 1154. 110. 51775. 17555, 9 1154. 770, 41978. 17555.
50995, 1,00 o. 136,. 136. 8 29931. 1.00 o. 99, 99, 9 9 TAN 9 790. 1026. 999. 41978. 17555.
j 10 790, *1026. 999. 69645.
29931. 1,00 o. *99,. 99, 9 17555. 32640. 1,00 o. 141.* 141. 10 10 TAN 1 10 1026. 2100. 68645, 17555. 32640. 1.00 o.
11 1026. 2100. 141.* 141, 10 63710. 17555. 30393.* 1.00 o, 132. 132. 11 11 BEND 11 1916. 834. 36761. 60260~ 17555. 2182 o. 363, 12 949. 834. 29837.
363. 11 33692. 19840. 2.a2 o. :ZJO. 230. 12 12 TAN 12 863. 1778. 698. 29837. 19840. 33692. o.
13 863. 1778. 698.
1.00 88, ea, 12 31403. 19840, 33529, l,00 o, 91. 91, 13 13 TAN 1 13 738. 1540. 563, 14 738. 1540. 563.
31420, 60729.
19542, 33687. 1.00 o, 91,' 91, 13 19542. 52462. 1,00 o. 1150. 1so. 14 TAN 1 14 752. 1s10. 623, 61401.
15 752. 1510. 623, 96717.
16924.
16924.
52589. 1,00 o. 150, 150, 14 90946. 1,00 o. 24:2. 242. 15 TAN 15 211. 1153. 211. 96673. 13880, 91409. 1,00 o, 16 211. 1153. 211, 242. 242, 15 91676. 13880. 90251. 1.00 o, 235,, 235, 16
PIPDYN SRSS COJlol.
PUTER PROGRAM VERIFICATION
'ION OF ALL THREE SF.ISMIC RF.SPONSES LOAD NUMBER 1 BENCHMARK PROBLEM FROM NRC LOAD.TITLEI SRSS COMBINATION X=1.0,Yat.o,AND Zat.o

e:

ELEMENT ELM 0 BRANCH JOINT ***
STRESSES COMPUTED IN ACCORD END FORCES IN LOCAL COORDINATES WIT~ USAS 831 0 1 POWER PIPING CODE LBS AND IN*LBS *** PRESSURE LOAD COMBINED ORIG, NUMBER TYPE NUMBER N0 0 Fl F2 F3 Mt M2 M3 SIF STRESS STRESS STRESS JOINT 16 TAN 1 16 287. 211. 90697. 14351, 91163. 1.00 o. 235. 16 17 287. 217. 89148. 14351. 94867. 1.00 o. 237. 17 17 TAN 17 732. 1046. 751. 07570. 95696, 1.00 o. 237, 237, 17 19 732. 1046. 751. 49485, 56422. 1.00 o. 140. 140. 18 18 TAN 18 651. 1094. ,757. 48661. 20409. 56344. 1.00 o. 140. 140. 18 19 651. 1094. 757. 35984. 20409. 29131, 1.00 o. 92. 92. 19 19 TAN l 19 1041. 1289. 1002. 37396, 19981. 27609. 1.00 0 *. 92.* 92. 19 20 1041. 1289. 1002. 79226. 19981. 46793. 1.00 o. 171. 171. 20 20 TAN 1 20 774. 957. 982. e11a2. 16062. 44911. 1.00. o. 171. 171. 20 21 774. 957. 982. 67046. 16062. 55677. 1.00 o*. 161,* 161. 21 21 TAN 21 924. 557. *68157. 55405. 1.00 o. 161.* 161, 21 22 924. 557. 72888. 70695, 1.00 o. 185, 185, *22 22 TAN 1 22 431. 557. 73404. '70558. o, 185. 185, 22 TAN l 23 23 431.
533, 1042.
557.
638.
90509.
90380. 11492.
ee0:u.
88672.
1.00 1.00 1.00 o,.
o.
230.
230, 230, 230.
23 23 24 533. 1042. 638. 71828. 11492. 87048. 1.00 o. 206, 206. 24 24 TAN l 24 seo. 1017

70916. 16883. 86999. 1.00 o, 206.* 206. 24 25 s00. . 1011. 69223. 16883

96657. 1.00 o. 210.* 218. 25 25 TAN 25 961. 1201. 1111. 67i47. 22357. 96592. 1.00 o,. 218 *' 2180* 25 26 961, 1201. 1111. 96140. 22357. 121110. 1.00 o. 284. 284. 26 26 TAN 1 26 1587, 1049. 941170. 27 805. 121584. 1.00 o. 284. 284, 26 27 1587. 1049. 62401. 27805, 40204. 1,00 o. 144. 144, 27 27 TAN 1 27 1207. 882. 2042. 64188. 23531~ 40119, 1.00 o. 144.* 0 144, ~7 28 1207. ee2. 2042. 168j>00 0 23531. 51257. 1.00 o. 321. 321. 28 28 TAN 1 28 1157. 2047, 169480. 9978, 50812. 1.00 o. 321,* 321. 28 29 1157, 2047. 286365. 9978. 113799. 1.00 o, 559.' 559, 29 29 TAN 29 551. 861. 2136, 206175. 17698. 113337. 1.00 0 *. 559. 559. 29 30 551. 861. 2136. 402481. 17698. 139249. 1.00 o, 773. 773. 30 30 TAN 30 509. 890. 2003. 399123. 51861. 138660. o. 773. 77J. 30 31 509. 890. 2003. 284610. 51861. 160257. o. 599.* 599. 31

PIPDll'N r' UTER PROGRAM VERlFICATlON BENCHMARK PROBL[N FROM NRC SR.SS COML . ON OF ALL THRE£ SEISMIC HESPONSES

SUMMARY

OF RESULTS FOR LOAD NUMBER LOAD TITLES SRSS COMBINATION X:1 0 0,Y*1 0 0,AND Z*1 0 0 LOCATIONS OF MAXI~UM DISPLACEMENTS DIRECTION JOINT ORIGINAL DISPLACEMENT 1 DISPLACEMENT 2 DISPLACEMENT l NU14BER NUMBf.R JOINT NO ( INCH~S) (INCHES) (INCHES) 1 31 31 0.022719597 0,012753438 0,003334835 2 35 35 0.012168144 o.01eo111s1 0,007333822 3 36 36 0.007888529 LOCATIONS Of MAXIMUM STRESSES COMPUTED JN ACCORD WITH IJSAS 831,l POWER PIPING CODE 0,069896248 0.014537830 BRANCH STRESS DUE TD LOAD 1 COMBINED STRESS {LOAD 1 + PRESSURE)
NUMBER ELEMENT STRESS (PSI) ELEMENT STRESS (PSI) 1 39 973. 39 973.

FORCES AT BOUNDARY JOINTS (JN GLOBAL SYSTEM) ***

BOUNDARY JOINT NO Fl.
r 0 R c E 8 F2
( LBS )
Fl

Ml M 0 M E N T M2 8 IN*LBS )

Ml NEW
.JOINT NO 1 1156. 1875, 863. 69439, 46281. 60154.* 1 10 2766. o. 1371, o. o. o. 10 20 1065. 1640. 1249. o, o. o. 20 26 2308, 2804. 1614, o, o. o. 26 30 o. 4114, o. o. o, o*. 30 34 350. o. 1306. o, o. o. 34 41 1906, 10se. 870, 136634, 98922, 169850,* 41 NOTES& REFER TO BOUNDARY CONDITION TABLE FOR CONSTRAINT CONDITIONS FOR TOTAL CONSTRAINT FORCE ADD NEGATIVE or APPLIED CONCENTR~TED LOADS Ci
~
8 8ENCHM~RK 6
~
PROBLEMS FOR PIPDYN II COMPUTER PROGRAM FRC PROJECT ND 0 31I*C2530*02 0
BENCHMARK PROBLEM FRO~ NRC N0 0 003
--*- 4
~
" . 1111.A tl!!I~.~
'9
~ ~
f f.
32 33 42 6 1 6 16 3 0 0 0 0 1 1 33 16 0 0 0 I ~;,_;;~J!fY'filfij,f,"'Cf JI ~
1 u. o. o.
2 le. l'i 36 o. *4. 368 3 23.424 o. *4.942 ~
4 26.4 o. *4.920 5 47.40 o. *25.920 6 47.40 o. -79.920 c 1 60.40 o. .. 100.920 8 li9. 40 o, *79.20 9 jj9 .40 o. *25.920 ~
10 ito.4 o. *4.920 11 i46.4 o. *4,920 12 13 2o6.4 i45,4 o.
o.

4.920

-4.920 14 266.4 o. *25.920
)
15 16 17 266,40

.!66. 40 272.436 o.

o.
-1,452

72.480

.. 97.132

102.636 18 19 20 323.280 327. 960

)36,1116
-13.680

14. 760

16.944

.. 154 *. 636 m!59~360
.. 168.396 21 349,884 *18.264 *173.856 ~
22 l70,ll84 *18.264 *173,856 23 l70,ll84 30,696 *173.056

24. J9l,884 *18.264 *173.056 ~

25 404,1144 *18.264 *173.056 26 417,804 *18,264 *173. 856 27 438,804 *18.264 *173.056 ~
28 438,1104 30.696 *173.056 29 459 0 804 -Ul.264 "'173.056
) 30 472,236 ~18.264 *173,856 ~
31 485.148 *18.264 "'179.316 32 507,300 a11Jo264 -202.120
~ 33 ~)19,840 .*.264 *215.0 ~
34 245,400 12.0 .. 4.920 35 4o4.t144 12.0 173.056
) 36 l/i85 0 14B 12.0 179. 376 (
37 . 68, 40 12.0 *100.920 38 323,280 12.0 *154.56

! 39 ~23,280 -13.690 *166,560 (

40 23, 17108 0,00000 15.05399 19,94444 19.97559 41 26.40000 0,00000 *25.92000 21.00000 21. 00000 42 43 44 45 68.40000 68,40000 110. 40000 245.40000 0,00000 0.00000 0.00000 0.00000

79.92000

.. 79,20000

25.92000

.. 25.92000 21.00000 21.12000 21.00000 21.00000

21. 00000 21, 00000

21. 00000

21. 00000

~
46 206 0 77150 *4.90050 -01. 73200 20,95264 20,96492 47 .349,87431 -14.03348 0 156,35703 17.99798 18,00309 48 472,23600 *tB.26400 -191.88534 ill.02934 18 0 01966 ~
49 ~07,31996 -0.29265 *202.10862 17.97137 17.97053 1 1 13 34 1 2
3 1
1 25 l1 35 3b 1
1 '
'3
1 2
3 4
5 6
3 4
3
~1 1
1 14.0 12,750 i2,750 18 18
.4380
,3750 37 38 39

1. 312 1

1 1
0.001 0,001 0,001

e

0 4 3 12,750 2,00 0.001 5 4 i4,o .438 0.001 6 4 ~2,750 1.312. 0.001 o,

1 2
3 1
1 10.
10, 1o, 26200000, 25200000.
o.l 0,3 o*, l 1 75600000, 1 1. 1. 1. 1. 1, 1.0 33 1. 1. 1 *. 1, 1. 1.0 13 1 ,4500+3 25 2 .eooo+l 31 3 ,6000+3 7 4 .1000+8 18 ,1000+8 ,1000+8
.1 1 2 49 1 1 0 l 1 l 12 -*
() f 0
3 3 4 49
.5 5 6 49 a
8 9 49 10 10 1i 49 11 11 12 49 12 12 1l 49 14 14 15 49 0 15 16 16 49 17 11 18 49 18 19 1 ti 19 19 20 49 49 e
2 2 3 40 I 2 0 5 5 1 7 0
4
()
4 1
5 41 e
6 b 7 42 7
9 7
9 e
10 43 44 e
13 13 14 45 16 16 17 46 20 20 21 47 1 2 1 2 2 1 1 0
0 1 21 21 22 49 3 1 1 3 3 1 .4 0 ' 22(> 1 24 23 49 26 26 27 49 28 21 29 49 24 24 25 49 2 1 1 3 l 1 4 0 () 1 G 25 25 26 49 29 29 30 49 31 22 3i 22
()
32 23 49 49 2 1 1 4 4 1 2 ...
0 1 27 30 27 30 28 31 49 48 e
2 2 1 6 6 1 2 *.
0 0 1 32 14 32 0
33
.99 49 1000.
CD i
~

~-

ij e
4 42 0
4 7 . 72 l 2.11116 IU l1 I2 4
IJ 2
IU .. J 2.llllb 75 77 :28 4
ll l 2.8116 7 1 4.04]7 *7 2 4.0432 7 3 4.0432 G 10 l 2.54flQ 10 2 2.5409 10 3 2.54119 l1 1 1.406] 11 2 J.4063 l1 3 1.4063 1.4503 12 3 1.4503 @
12 1 1. 4 !'\O l 12 2 lJ 1 l.1:1&115 13 2 1 0 ll bll5 13 3 1.8605 15 111 22 23 1
1 1
1 2 0 0566 2.0246 6,7057 0,63406 15 l ll 22 23 2
2 2
2 2.9566 2.0246 f... 7 857 o.63406 15 18 22 23 J
3 3
3 2.8566 2.0246 6.7857*
o.63406 25 1 0,!:>9369 25 2 o.s9369 25 3 o.59369 *I 27 1 6,9539 27 2 6.9539 27 3 6.9539 28 1 o.63406 28 2 o.63406 28 J o.63406 9!
31 1 J.7396 31 2 3.7396 31 J 3.7396 0
FREQUENCY AND SHAPE 1 -1
~ODE 11 0 e 4 0,05 SPECTRUM ANALYSIS 2
1

1

.oooos 2
23 0
1 386.4 13
~
1.0
,25 0.012 0.12
© ,0,6 0.2
. 0.024 0,30
.33
.19 0,072 0,48 *
.18999 1.1 o.155 1.1 ,15499 o.s
,14 o.3 0,085 0,12 0,025 0,096

o. 0,096 e

4 1.0 1,0 Ci 1.0 MAX 0 X*EARTHQUAKE 1.0 MAX, Y*EARTHOUAKE G o.6667 MAX. Z*EAHTHQUAKF.
1.0 I LINEAR COMBINATION 1,0 8 0 o.6667 1.0 c
RMS STRESS COMPUTATION OF THE EARTHQUAKE ANALYSIS 32 11 33 4 4 e
5R55 COMBINATION or THE SEISMIC RESULTS 32 33 1 1 2 0 2 3
,1;; (i 8R58 COMBINATION OF THE EARTHQUAKE Xm1,Y=.667 1 Zm1 0 0 f\'1
-1 0
1,0 -2 1.0 -3 1.0 1, e
0 e
El h e
CO~PUT~R PROGRAM

*~~(~a&MJ

~r~r~*A**
~AO~l~MO p~~bLF*
EL!~[NT5 IN PIPE fORMAT TOTAL NU~8~R or ~LEMENTS ***--Q~w***~a*****m******o****o~** 32 TOTAL NUMBER Of STRUCTURAL JOINTS ******u*u*-******~******* 33 TOTAL TOTAL TOTAL NU~BER or NUMBER or NUMBER OF rICTICIOUS REfERENCE JOINTS ****a*
LOADS FOR GENERATION OF DYNAMIC DOF *-----g 8 ********
MECHANICAL LOADS ****a****---------e~-----
16 42 0
TOTAL NUMBER OF THERMAL LOADS mN~************aQ************ 0 TOTAL NUMBER OF NON*DYNAMIC LOADS ***********a************* 0 TOTAL NUMBER OF AUXILIARY ORIENTATION MATRICES **********a* 6 TOTAL NUMB~R OF AUXILIARY COORDINATE SYSTEMS *********D**** 0 TOTAL NUMBER OF CONSTRAINED BOUNDARY JOINTS **~************ 7 TOTAL NUMBER OF NON*DIAGONAL ELASTIC FOUNDATIONS ********** 0 TOTAL NUMBER OF JOINTS WITH NONQZERO IMPOSED DISPLACE~ENT

0 TOTAL NUMBER or CROSS*SECTION TYPES ****m**********a******* 6 TOTAL NUMBER or MATERIALS ***-------*-***--***--***--**-*** 3 TOTAL NUMBER OF PIPE PRESSURES ~-m*-~-eg*----~*m**------D** 0

. ' TOTAL NUMBER OF GRAVITATIONAL VECTORS *************m******* 0 4
c 4
~
c f
e
~
Q I
~

G NO.

1 2
3 Xl(IN)
COOROINATES Ill c;r.oAAL 0.000000 tll.636000 23.424000 X2(1N) 0.000000 0.000000 0.000000 SYSl'F:M XJ(IN) 0.000000
-4.368000
-4.942000

*e

ii 4 26.400000 0.000000 -4.9?0000 e 5 47,40000() 0.000000 -25.920000 6 47.400000 0.000000 -79.920000 7 68,400000 0.000000 -100,920000 eJ 8 89.400000 0.000000 -79.200000 ~ -7f*1'l 9 89,400000 o.*000000 *25.920000 10 110,400000 0.000000 .. 4. 920000 0 11 i46.400000 0.000000 *4.920000 12 206,400000 0.000000 -4.920000 13 245.400000 0.000000 *4,920000 0 14 266,400002 0.000000 -25,920000 15 266.400002 0,000000 -72.480000 16 266,400002 0.000000 -87,732000 0 17 272,436001 *1,452000 *102,636000 18 323.279<l9Q -13. 680000 -154.63600~ /54* 5b 19 327.959999 *14.760000 *159.360001. ~

20 336.816002 -16.944000 *168,396000 21 22 23 349.083999 370 0 ,88Jll99 370 0 Bll399Q

18,264000

-18.264000 30.696000
.. 173.856001

173.856001

-'"173,1:156001

24

!5 26 391,083999 404.844002 417,804001

18.264000

.. 10,264000

18.264000

173,856001

-173.056001
-173.856001

27 28 29 438.804001 439,804001 459,004001

.. 18,264000 30,696000

10.264000

.. 173.056001
-173.856001

11'3,856001 30 472,236000 .. lR.264000 *173.056001 31 405.147999 *10,264000 -179.316000 32 507,299999 *1R 0 264000 -202.12aooo 33 519.039996 -0,264000 *215.000000 34 245,400000 12.000000 -4.9200'00 '?

35 404,044002 12,000000 173.856001 36 37 38 39 405.147999 68,400000 323.279999 323.279999 12.000000 12.000000 12.000000
-13.600000 179.375999
.. 100.920000
-154,559999

166,560000 40 23,171080 0.000000 15,053990 0 41 26.400000 0,000000 u25,920000 42 68.400000 0.000000 -79,920000 43 68,400000 0,000000 *79.200000 Gr 44 110,400000 0,000000 -25. 920000 45 245.400000 0.000000 *25,920000 46 286.771500 -4,900500 *R7.732000 &

47 349, 874]10 -14. 033400 -156,357031 48 472,236000 *18.264000 -191. 805340 49 507. 319962 -0.292650 .. 202,108620 G'
~
0 0
XSEC CODE 1
ELl'l 0 TYPE s
H/OD.
CiN) 14.ooo WITH CIN)
AREA CIN'*2)
I1
( IN'*4)
CROSS SECTIONAL.ERTIES 12 (INU4) 13 CINn4) SP'l 0.438.1866F.+02.4295E+03 0 8590E+03 0 4295E+03 o.o SF2 o.o XI (IN) 1.00 Y1 (IN) o.oo X2 (IN) o.oo Y2 (IN) 1.00 X3 CIN)
.. 1.00 Yl (IN) o.oo X4 UN) o.oo
- Y4 UN)
-1.00 2 c 12.750 0.375.1458E+02 0 2793E+Ol,2793E+03 0 5587E+03 o.o o.o 6. 39 o.oo o.oo 6.38 *6.38 o.oo o.oo *6.38 3 s 12.750 t.312 0 4714E+02.7R1tf.+03.1562E+04 0 7811E+OJ o.o o.o 6.38 o.oo o.oo 6.38 .. 6.38 o.oo o.oo *6,38 4 s 12.750 2,000.6754E+02 0 1009E+04 0 2019E+04,1009E+04 o.o o.o 6.38 0,00 o.oo 6.38 *6,38 o.oo o.oo *6,38 5 c 14.ooo 0,439,1866F.+02.4295E+03.4295E+03,8590E+03 o,o o.o 1,00 o.oo o,oo 1.00 *7,00 o.oo o.oo -1.00 6 c 12.750 l 0 312,4714E+02.7911E+03.7811E+03,1562E+04 o,o o.o 6, 38 o.oo o,oo 6,38 *6,38 o.oo o,oo *6.39 MATERIAL PROPERTIES TYPE 1
TEMPERATURE CF) 10.00 YOUNG'S MODULUS(PSI) 26200000,00 POISSON"S RATIO 0,300000 COEF, OF THERMAL EXPANSION(/F) 0.000000000 SM (PSI) o.oo

2 10.00 2s200000.oo 0,300000 0.000000000 o,oo 3 75600000.00 0,300000 0,000000000 o.oo 6

BOUNDARY CONDIT I N MATRICES NO, JOINT CODE BC*i BC*2 BC .. ] BC*4 BC*5 -BC*6 1 1 0 0,10000000E+01 0,10000000E+01 0,10000000E+Ol 0,10000000E+01 0,10000000E+01 O,lOOOOOOOE+Ol 2 33 0 0,10000000E+01 0,10000000E+01 o,1oooooooe:+o1 O,lOOOOOOOE+Ol* o,1oooooooro:+o1 0,10000000E+Ol l 13 1 O,OOOOOOOOE+OO 0,45000000E+03 0 0 ooooooooe:+oo o,ooooooooE+oo o,ooooooooe:+oo 0 1 00000000E+OO 4 2!5 2 o.ooooooooE+oo O,BOOOOOOOE+03 O,OOOOOOOOP.:+00 O,OOOOOOOOE+OO o,ooooooooE+oo O,OOOOOOOOE+OO 5 31 l o,ooooooooe:+oo 0,60000000E+03 o,ooooooooe:+oo O,OOOOOOOOE+OO o,ooooooooe:+oo O,OOOOOOOOE+OO 6 7. 4 o,ooooooooe:+oo 0,10000000E+08 O,OOOOOOOOE+OO O~OOOOOOOOE+OO 0.000000001!:+00 O,OOOOOOOOE+OO 7 18 0 O,OOOOOOOOE+OO o,10000000E+oa 0,10000000E+08 O,OOOOOOOOE+OO o,ooooooooe:+oo O,OOOOOOOOE+OO I f0A3D~, TIME=11149 14,3 CPU~ 9,541 SEC BAN0*111or11 11 10 BY o,o,ir. BAND*l'IIDTH 1.1 l BY JOINT I@
'i)
ELM ***
NO, END l

MAT, ELM, PIPF. PRES SIP' REF CODE TYPE coor. 'TY PE CODE LEG BRAN XSEC NO, NO, CODE OR ANGLE UNIT WT, LB/IN ORIENTATION MATRIX

e (I ,J")

0 14 14 15 49 1 l 1 l 0 1 1 1 46,56000 0,00000 0,999999*0,001215 0,000000 0.000000 0,000000 1.000000
-0,001215*0,999999 0,000000 15 15 16 49 l 1 l 1 0 1 l 1 15,25200 0,00000 0,999999*0,001215 0,000000 0,000000 0,000000 1.000000

16 16 17 46 l 2 l 0 1 1 5 0979020 0,00000 RAD* 20,9526

-0.00121!*0.999999 0,000000 0~972264*0,23388~ 0,000000

17 17 18 49 1 l 1 0 1 1 1 73,74711 0,00000 FLX*

ECC*
8,2672 0,0000 0,233885 0,972264-0,000000 0,000000 0,000000 1,000000 0,705796 0,372668 0,602471

0,689437 0,165810 o, 705112 G 0,162877*0,913031 0,373959 18 18 19 49 1 1 1 0 1 1 1 6,73684 0,00000 0,700858 0,370250 0,609693

0,694688 0,160313 0,701219

19 19 20 49 1 1 1 1 0 1 1 1 12,83931 0,00000 0,161886*0,914995 0,369564 0,705185 0,378216 0,599723

20 20 RADII

0,689757 0,170103 0,703776 0,164165*0,909955 0,380831 21 47 1 2 1 1 0 1 1 2 0 0 01209 0.00000 17,9980 o. 725543 0,161714 0,668907 FLXa 9,3596 -0.000000 0,971999*0,234989 ECC* 0,0000 *0,688177 0,170494 0,705226 21 2i 22 49 3 1 *1 1 0 1 1 3 :u .00000 0,00000 0,000000 0,536714*0,843764 e

-1.000000 0.000000 0,000000 22 22 23 49 . 2 1 1 1 0 1 1 4 40,96000 0,00000 0.000000 0,843764 0,536714 0,979226 0,000000-0.202774 *

0,000000-1,000000 0,000000

-0.202114 0,000000-0,979226 3*
23 22 24 49 1 1 1 0 1 1 3 2i .00000 0,00000 0,000000 0,536714G0.843764
-1.000000 0.000000 0,000000 0,000000 0,843764 0,536714 24 24 25 49 2 1 1 1 0 l 1 3 . 12.96000 0,00000 0,000000 o.536714*0,843764
-1.000000 0,000000 0,000000 0,000000 0,843764 0,536714 e
25 25 26 49 2 1 1 1 0 1 1 3 12.96000 0,00000 0.000000 0,536714*0,843764
-1.000000 0.000000 0,000000 0,000000 0,843764 0,536714 26 26 27 49 l 1 1 1 0 1 1 3 21.00000 0,00000 0,000000 0,536714*0,843764
.. 1.000000 0.000000 0,000000 6 0,000000 0,843764 0,536714 G
c
-***----*-*-**--**--~-*-*-*** .. ------ - **- ..
ELM ...
N0 0 END 1 END 2 INTS MAT 0 ELM. PIPE PRES SIP' REF CODE TYPE CODE TYPE CODF.
LEG BRAN XSEC N0 0 N0 0 CODE H
OR ANGLE UNIT. WT, LB/IN ORIENTATION MATRIX eU,J~)
27 27 28 49 2 i 1 1 0 1 1 4 48.96000 0.00000 o.924497 0,000000-0.391211 0.000000-1.000000 0,000000
-0,391213 0,000000*0.924487

28 27 . 29 49 3 1 l 1 0 1 1 l 21,00000 0.00000 0,000000 0,536714*0,843764

-1,000000 0,000000 0,000000 29 29 . 30 . 49 2 1 1 1 0 1 l 3 12,43200 0,00000 0,000000 0,843764 0,536714 0.000000 o.536714*0.843764

30 30 31 4.B 2 2 1 1 0 1 1 6 0,79937 0.00000 RAD111 18,0293

-1,pooooo 0,000000 0,000000 0,000000 o,843764 o,536i14 0,000000 0,000000-1.000000 FLX* 2.2814 0,000000-1,000000 0,000000 ECC* 0,0000 -1.000000 0,000000 0,000000

31. 31 32 49 2 1 l l 0 1 1 3 H.79777 0,00000 0,001111 0.999999 0,001079

0,696653 0,000000 0,717409 0,717408*0,001548 0,696652 32 32 33 49 2 2 1 1 0 1 1 6 i,57239 0,00000 RADII 17,9714 0,001111 0,999999 0,001078 FLX* 2,2889 *0,717364 0,001548*0,696697

' EC Cm 0.0000 *0,696697 0,000000 0,717365 MAXIMUM ELEMENT LENGTH OCCURS IN ELEMENT 17 AND EQUALS 0 0 H747E+02 INCHES MINIMUM ELEMENT LENGTH OCCURS IN ELEMENT 3 AND EQUALS 0 0 29761E+01 INCHES MAXIM OM ELEMENT STIFFNESS OCCURS IN ELEMENT 3 AND EQUALS 0 0 14274E+11 MINIMUM ELEMl!

NT STIFFNESS OCCURS IN ELEMENT 17 AND EQUALS 0 0 33663E+06 9EDIT* 1 TIMEmll 150 14,0 CPU~ 38,449 SEC

SLVR*, TIME111l1150 53.2 CPU* 57,201 SEC

UPDT*, TIMEmlla51 08,0 CPU*. 63,014 SEC

B!NCHMA~OBLEMS
.. *CD roR PIPVYN II COMPUTER PROGRAM BENCHMARK PROBLEM FROM NRC N0,803 FRC PROJECT NO, lll*C2530*02 e

ADDITIONAL JOINf MASS DIRECTION TO THE SYSTEM ADDITIONAL KASS

4 4 1 2

0,29l16E+Ol 0,28l16E+01

O, 28116E+01 4 3 7 1 0,40432E+01 7 2 0,404J2E+01 7 3 0,40432E+Ol 10 1 0,25489E+Ol ~

10 2 0,25489E+Ol 0,25489E+Ol 10 J 11 1 0,14063E+Ol 11 2 0,14063E+01 11 3 0,14063E+Ol 12 1 0,14503E+Ol e 12 2 0,14503E+Ol 12 13 13 13 J
1 2
3 0,14503E+01 0,18685E+Ol 0,19695E+01 0,18685E+01 1 !5 15 1 !5
-~
1 2
3 0,28566E+Ol 0,28566E+01 0,28566E+01 18 1 0,20246E+Ol ti 18 2 0,20246E+Ol 18 3 0,20246E+01 22 1 0,67857E+01 I 22 2 0,67857E+01 22 J 0,67857E+Ol 23 23 23 1
2 3

0,63406E+OO 0,63406E+OO 0,63406E+OO 25 1 0,59369E+OO t 25 2 0,59369E+OO 25 J 0,59369E+OO 27 1 0,69539E+Ol t 27 2 0,69539E+01 .

27 J 0,69539E+01 29 29 1
2 0,63406E+OO
. 0,63406E+OO '
29 31 31 31 J
1 2
3 0,63406E+OO 0,37396E+01 0, 37396E+O1 0,37396E+Ol (1
~
~ t (I
Ii) c
- ,.q BEN CHM A FREOUENC OBLEMS FOR PIPDYN II COMPUTER PROGRAM MO MODE l'IHllPE YRC PROJECT NO. 31I*C2530*02 e '
G MODE HUMBER NAT. FREQUENCY MOOF. SHAPE 0 0 254207E+02 RAD/'SEC DOP' JNT om 0 0 4o4sen:+o1 HERTZ MODE SHAPE DOI!'
PERIOD JNT DIR 0 0 24716BE+OO SEC MODE SHAPE DOF JNT DIR @
1 4 2 *0 0 J0741837E .. 03 2 4 ] 0.24028303E*04 ] 7 2 *0 1 56329697E*06 4 10 l o. 259127 22~:-o J 5 10 2 *0,11213969E*01 6 10 3 0,78439666E .. 03 0 0 12559547E .. 02 9 . 13 3 0 1 13924761E*02 ~
7 12 2 *0.14753041E*01 8 12 3 10 15 1 0 0 11740133E*03 11 15 2 -o. 81900151E*02 12 18 1 *0 1 75891424E*04 13 18 2 aO 0 43074022E*05 14 18 3 0.42047824E*06 15 22 3 *0 1 32522566E*03 0 0 14443266E*02 (I 16 23 1 0 0 50370573E*03 11 23 2 0 0 1056259BE*02 18 23 3 19 25 2 o.63305323~*03 20 25 3 .,0 0 2689B828E*03 21 H 3 *0,20906681E*03 22 28 t 0.4643801BE*03 23 28 2 0 0 227l1706E*03 24 28 3 0,10499691E*02
.. 0,99729317E*04 26 l1 2 *0, 1770307.4E*03 27 31 3 *0.124639691£*03 G I ~ 25 31 1 NAT, FREQUENCY 0,270447E-o-02 RAD/SEC O,UOUU+Ol HERTZ PERIOD 0.232326E+OO SEC f
' ~ MODE NUMBER 2 oar JNT DIR MODE SHAPE DOF JNT DIR MODE SHAPE DOF JNT DIR MODI!: SHAPE G
~
1 4 :z *O, 93l5349U.:*05 2 4 3 *0. 1 24B74820E*Ol 3 7 2 *0,18348239E*06
~
10 4
7 10 12 15 1
2 1

0,90492005E*02

.. 0,10928044E*02

0,53992524E*02 11 5

B 10 12 15 2
3 2

0,89995857E*Ol'

0,43758863E*02

.*0,68995078E*03 12 6
9 10 13.
18 3
3 1

0,50B22955E*02

0,37549901E*02

0,69523944E*03 O, 76227041E*03 t

13 16 19 19 23 25 2
1 2
.. o. 39 072731E*06 0, 1482827BE*03 0,120929B3E*03 14 17 20 18 23 25 3
2 3

0,31309560E*05 0 0 14814896E*03 0 0 59454922E*03 1 !S 18 21 22 23 27 3

3 3
0,83471251£*03 0 0 38162049E*03 0, 41605U9E*03
~
22 25 29 31 1
1 0,16497213E*03 0,87896553E*04 23 26 28 31 2
2

o. 86824267E*04 O,J9070519E*04 24 27 29 31 3

3 0, 10164868E*03

~ODE NUMBER 3 NAT, FREQUENCY 0. 5913461!

+02 RAD/SEC , 0, 9411!56E+O1 HERTZ PEIUOD 0,106252E+OO SEC ~

oar MODE SHAPE DOF JNT DllR MODE SHAPI!: DOF JNT DIR 'MODE SHAPE ii 1
JNT 4
DIR 2 *0,83104833E*05 2 4 3 *0, 11140326E ... 03 3 7 2 0,69399539E*07

10 0,34766327E*02 5 10 2 *O. 79351895E*03 6 10 3 *O, 47696058E:0,.02 ij) 10 4

7 12 15 l
2 1

0,16380965E*03 0,27777005E*02 1l 9 12 15 3

2

0,93237885E*03 0,53068376E*03 12 9 13 18 3

1 0,96509043E*03 0,46892853E*03

13 18 2 *0,37954429E*06 14 18 3 *0,30163504E*05 15 22 3 *0,41813464E,.03

0,21176625E*03 18 23 3 *0,45536400E*03 f

~ 16 23 1 .. 0,24458331E*04 17 23 2 19 25 2 .. o,1919605BE*03 20 25 3 *O, 31160B62E*03 21 27 3 *0 1 18066112E*03 28 2 *0,15140866E*03 24 28 3 *0,18638B36E .. 03
~
22 25 28 31 l
l

0,73221912E*04 0,23600540E*05 23.

26 31 2 *0 0 792262611!:.,04 27 31 3 *0 0 25505397E*04
,) *
.)

di)

a *

.. f

')

e @
BENCHMARK ""l'IJlt"!'JBLl!:MS FOR PIPDYN II COMPUTER PROGRAM fRC PROJECT NO. 31I*C2530*02 FREQUENCY AND MOD~ SHAPE MODAL PARTICIPATION FACTORS MODE 1
2 3
DIRECTION 1 0 0 492003E*02

0, 122522E+OO 0 0 179035E*01 DIRECTION 2

.. 0.111597E+OO

*0 0 735564E*02

0 0 45566fiE*02 DIRECTION 3 0,108596E .. 01

0 0 494215E*01

0,266975E .. 01 4 *0,305897E*02 0,965025E*02 0 0 129563E*03 0 5 *0,204724E .. Ol 0.972148E*02 -o.e4ssa6E-02 6 0,151337E*02 0 0,305287E*01 o.378783E~03 7 0,190389E*01 0,509071E*02 0.197537E*01 e 8 *0,208403E*03 *0,762109E*02 0,479131E .. 03 9 0,591061E*07. *0.555575E*02 *0,860B01E*02 10 0 0 63B907E*02 0 0 431063E*02 *0,995297E .. 02 fl) 11 0,242821E*02 0,174057EQ02 *0,114042E-02 12 13 14 15 o.12s122e:-02

0,145540E*02

0,200410E*02 0,624572E .. 03

0,416354E*03

0 0 7B2254E*05

0,164566E*03

0,127997E-02

0,160B95Em02 0,635932E*02 0,620761E*03

0 0 551975E*03 16 *0 0 920737E .. 03 *0,206053E*03 *0,469426E*03 0 17 0, 111987E*02 0 0 434462E*03 09 0,997346E*03 18 .. o, 159726E*04 *0 0 210825E*02 0 0 192928E*04 19 . 0, 320459E*04 *0,685496E*(>5 0,262888E*03 e 20 . 0,513095E*03 *0,2B8676E .. 04 *0 0 559161E*03

, 0 1 577f!17E*03 21 22 23
. *0,391902E*03 0 0 275975E*04 0,454129E*03 0 0 B0990BE*04 0,127836E 0 02
... 0,394B12Eao03 0,100921En02
&0.695113E..,04 24 0,396992E*05 0,605999E*03 m0,127771E,.03 25 .,0,278725E*04 *0,67289BE*04 aQ 0 444B21E*03 0 26 *0,24811JE*04 *0.825885E*05 *0,413B56Eco04 27 =0 0 904156E*05 "'0~37938BE*05 0,273668E-05 e
~
~
eil
~
~
~
~
(j I"
BENCH14A BLF.MS FOR PIPDYN II COMPUTEk PROGRAM FRC PROJECT N0 0 31I .. C2530-02

SRSS COM !ION OF IHE SEISMIC RESULTS * ** SRSS COMHINATION or THE EARTHQUAKE X=t,Y=.66.: .o RESULTING DISPLACEMENTS FOR LOAD NUMRER 1 C IN GLOBAL COORDINATE SYSTEM )

JNT N0 0 DISPLACEMENT 1 DISPLACE~ENT 2 DISPLACEMENT 3 . ROTATION 1 ROTATION 2 ROTATION 3 NEW INCHl::S INCHC:S INCHES RADIANS RADIANS RADIANS JNT 0 N0 0 1 0.000000000 0.000000000 0.000000000 0,000000000 0,000000000 0,000000000 1 2 0.000101606 0.000144944 0.000731393 o,oooooso2s 0,000076606 0,000015997 2 3 0,000256937 0,000275027 0.001410648 0.000003697 0,000219618 0.000042298 3 4 0.000255006 0,000404546 0.002079305 0.000004424 0.000229935 0.000044215 4 5 o.015984251 0.002100023 0.013369213 0.000016677 0.000980513 0.000107754 \...._ 5 6 0.010562546 0,000477438 0.013400001 0,000053558 0,001023288 0,000136653 6 1 0.090302320 0,000010549 0,031393390 0,000198242 0,000713730 0,000102963 7 8 0.09240030 0.009167235 0.042802095 0.000364763 o. 000276386 0,000192155 8 0,075948989 9 0.029510101 0.04:2822783 0.000395780 0.000225479 0,000187188 9 10 0,075179427 0,041829286 0.043435385 0 I 000403671 0,000064471 0,000163208 10 11 0,075187711 0,047251817 0,041705752 0.000403693 0.000101335 0,000148573 11 12 0,075191577 0. 054774944 0,036533397 0,000404133 0,000156227 . 0,000113228 12 13 o.01st87431 0,058443232 0,031!575265 0,000404689 0,000188936 0,000089342 13 14 0.067669157 0,050277250 0,026111673 0.000432265 0.000472781 0,000042049 14 15 0.045115817 0,030596408 0.026110662 0,000419301 0,000502501 0,000063133 15 16 0.037547449 0,024382655 0,026108185 0,000411426 0,000504407 0,000072027 16 17 0,030134395 0,018620100 o.0231331e2 0,000348452 0,000482181 0,000077822 17 1B 0,005993092 0,000031621 0,000051251 0,000258965 0.000403042 o.000096192 18 19 o,oou 15675 0,001469935 0,001845731 0,000248899 0.000390698 0,000096088 19 20 0. 001348468 o.004J69107 0,005230176 0,000230034 0,000366454 0,000095050 20 21 0,001672580 0,005170598 0,007272036 0,000143403 0,000037356 0,000048760 21 22 0,001673036 0,004338699 0,006606213 0,000137049 0,000042249 0,000048543 22 2J 0.002743810 0,004338688 0,008993861 0,000137672 0,000042249 0.000049728 23 24 0,001672636 0,003573132 0,005854005 0,000130443 0,000045662 0.000047840 24 25 0,001671906 o.oo3t36969 0.005125604 0.000119294 0.000050282 0.000046356 25 26 . 0,001671061 0.002717146 0,004717412 0.000106283 0.000054140 . 0,000045155* 26 27 0,001670610 0,002130129 0,003667299 0,000099871 0,000055345 0,000044526 27 28 0,002603621 0.002130524 0.005618844 0,000100467 0.000055345 0,000044716 28 G 29 0,001669295 0.001794386 0,002633962 0,000093248 0,000055149 0,000043574 29 30 0,001666973 0,001757072 o.002oso660 0,000081673 0.000052909. 0,000041317 30 31 0,001421165 0,001489535 .0,00145445:l 0,000060356 0,000048398 0,000038341 31 32 0.000453373 0,000389210 0,000521668 0.000042497 0.000039536 0,000026109 32 33 0,000000000 0.000000000 0,000000000 0,000000000 0,000000000 0,000000000 33
\

'*G BENCHMA ROBLEMS FOR PIPDYN II COMPUTER PROGRAM FRC PROJECT N0 0 31I*C2530*02 SRSS co~BINATION OF THE SEIS~IC RESULTS LO.l\D NUMRER LOAD TITLES SRSS COMBINATION OF THE EARTHQUAKE X~l,Y*,667,Z*l,O c

STRESSES COMPUTED IN ACCORD WITH USAS 831.1 POWER PIPING CODE ELEMENT ELM 0 BRANCH JOINT *** END FORCF.5 IN LOCAL COORDINATES LBS AND IN*LBS *** PRESSURE LOAD CO"BINED ORIG, NUMBER TYPE NUMA~R NU 0 Ft F2 F3 Ml M2 M3 SIF STRESS STRESS STRESS JOINT 1 TAN l 1 462. 454. 136. 9692, 3941. 49060. 1.00 o. 817, 817. 1 2 462. 454. 136, 7293. 3841. 41103. 1.00 o, 6113, 683, 2 2 BEND 2 462. 136. 454. 41099. 3835, 2. 72 O, 1854, 1854, 2 3 390. 136. 517, 39477, 2137. 2. 72 o. 1783, 1783, 3 3 TAN 1 3 388. 518, 7451, 39479. 1,00 o, 656, 656, 3 c 4 Jee. 518. 7100, 38618. 1,00 o, 641, 641. 4 4 BEND 4 339. 118. 504. 7093, 38617. 2146. 2,63 o. 1694, 1684, 4 5 504, ue. 339. 4578. 22359. 4640. 2,63 o, 982. 982, 5 us. 1,00 o.
' 5 TAN 5 6
504, 504.
J39~
339, 118.
4640.
4640, 22359, 6342, 1.00 o, 380.
219, 300.
219, 5
6 6 BEND 6 ,504, 118. 339, 10917. 6343. 4640, o, 547, 547. 6 7 ' 339, 118, 504. 2233, 21325, 13389, o, 945, 945, 7 7 BEND 1 7 196, 287, 2233, 21325, 13389, o, 925, 925, 7 8 287. 196, 10318. 19919, 1269, o, 941, 941. 8 8 TAN 1 8 287, 196. 143, 10320. 1269. 19917, 1,00 o. 3660 366, 9 9 207, 196, 143 *. 3182. 1269, 10977 I 1,00 ' 0. 18.7. 187, 9 9 BEND 1 9 287. 196, 3183. 10977. o, 491, 491, 9 10 196. 287, 4098, 12982, o. 595,. 585, 10 10 TAN 1 10 148. 144, 74, 41094. 2059, 12983, 1.00 o. 224, 224. 10 11 148. 144, 74, 6407. 2058, 12799, 1,00 o, 236,* 236, 11 11 TAN 1 11 100. 6407. 12799, 1,00 0, 236, 236. 11 12 100. 8053. 13564. 1,00 o. 259, 259, 12 12 TAN 1 12 154, 127, 37, 8053, 2058, 13564. .1,00 o, 259, 12 13 154. 127. 37, 7261. 2058, 15136, 1,00 .o. 276, 13 13 BEND l 13 185. 224, 7268, 15132, 2058. 2,63 O, 721, 721. 13 14 224. 185. 1978, 12317, 6148, 2.63 o. 544,. 544, 14 14 TAN 14 224. 185, 91. 1973, 12318. 1.00 o, 227. 227. 14 15 224. 185, 93, 5539. 8139. 1,00 o, 199, 189, 15 15 TAN 15 282, 270, 139, 5539, 6148, 0139, 1.00 o, 189. 189, 15 16 282. 210. 139. 7138. 6148, 1011. 1,00 o. 192. 192. 16
\
It

11

. BENCHMAR.Ll!:MS FOR PIPDYN l I COMPUTER PROGRAM SRSS COMBINATION OF THE SEISMIC RESULTS
~r*c PROJECT NO, 3ll*C25)0*02 LOAD NUMBER l LOAD TITLES SRSS COMBINATION OF THE EARTHQUAKE Xat,Ym 1 667,Zm1,0 STRESSES COMPUTED IN ACCORD WITH USAS B3l,l POWER PIPING CODE ELEMENT ELM, ~RANCH JOINT *** END FORCES IN LOCAL COORDINATES LBS AND IN*LBS *** SU PRESSURE STRESS LOAD STRESS COMBINED ORIG, STRESS JOINT NUMBER TYPE NUMBER NO, Fl F2 Fl Mi M2 143 16 BEND 1 16 273, 155, 270, 7030, 6148, 2164 o. 443, 443. *16 17 259, 155, 284, 3827, . 9574. 2,64 o, 390, 390, 17 17 'TAN t 17 258. 284. 159. 5317. 6403, 1,00 o, 207, 207. 17 18 258, 284. 159, 14075, 20476. 1,00' o. 434, 434. 18 18 TAN 1 18 207, 407. 237, 14000, 20504, 1,00 o,

U4, .18 19 207. 407. 237, 13341, 20643, 1.00 o. 430, 19 19 TAN l 19 207, 407. 237, 13459, 20571, 1.00 o, 430, 4301 19 20 207, 407, 237. 12671. 21120.* 1,00 o, 431,* 4l1. 20.

210. 235, 407, Uli23 1 -21625, 9586, 2.86 0 *. 16251* .1625,* *20.
20 BEND 1 20 o, 1424, 1424, 21 21 336. 235, 311, 4397, 20717. 14711. 2,86 21 TAN t 21 305. 311, 273. 13509, 14711, 16310, 1.00 o, 210,* 210. *21 22 305, 311. 273, 13301, 14711, 15232, 1.00 o,. 204,. 204,* *22 22 TAN 1 22 23 31, 31.
2734, o,
o, o,
1510, O,
1o00 1,00 o,
O,*
20,*
o,.
20.
o, 22 2l

23 TAN 1 22 24 407.

407, 176.
176, 13273, 11961.
14992.
14982, 15351, 13227, 1100 1,00 o,
o, 205,*
190.**
205, 190,*
22
-24

24 TAN 1 24 25 176,.

176, 11961, 11673, 14982, 14982.
13227, 12647, t.oo 1,00 o.
o, 190,*
186, 190, 186.

24 25

25 TAN l 25 26 222.

222.
418, 418.
110, 170,*
11673, 11623.
14082, 14982,
!2647, 12542.
1,00 1.00 0,
o,.
196, 185.*
186,*
185.
2!5 26

26 TAN 1 26 27 222.

222.
418.
419, 110.
170, 11623, 12403, 14982, 14982.
12542, 13716, 1,00 1.00 o.
o, 185, 194, 185, 194, 26 27

27 UN 27 29, 17, 53, 2577, o, 1361, 1.00 o*. 18, 18. 27 28 20. 17. 53, O, O, o, 1.00 o, o, o,. -28 28 TAN 27 262, 572. 240, 15305, 14033. 1,00 o, 196,, 196, :n 29 262, 572. 240, 15305, 12916, 1,00 o, 180, 180, 29 29 TAN 29 262, 572. 240, 9393. 15305, 12816, 1,00 o. 180, 180,*. 29 30 262, 572. 240, 892!5, 15305. 13173. 1.00 o, 180,* 180,* 30 30 BEND . 1 30 31 304.

391, 185.
185, 572, 517, 7173.
6930, 14203.
12769, 15305, 14990, 1,12 1.12 o,

o I 191, 180,*

191.
180, 30 31 *
~[NCHMARK SRSS FMS FOR PJPDYN II COMPUTER PROGRAM COM~INATIO~ nr THE SEISMIC R~SULTS FRC PROJECT N0 0 31I*C2530m02 *e LOAD NUIHlER LOAD TITLES SRSS COMBINATION OF THE EARTHOUA~F. Xnt,Y: 0 6&7,Z=1 0 0 STRESSf.S COMPUTED IN ACCORD WITH USAS 831.l POWER PIPING CODE ELEMENT NUMBER ELM.
'fYPE BRANCH NUMBER JOINT NO. *** END FORCES IN LOCAL COORDINATES fl F2 F3 Ml LBS AND IN*LBS M2 Ml

5If' PRESSURE STRESS LOAD COMBINED ORIG.

STRESS 5TRF.SS JOINT

ll TAN 1 31 241. 533. 501. 12772. 14886, 6934. 1.00 o, 170, 170, 31 32 241. 533. 501. 11476. 14886, 7334. 1.00 o, 165, 165, 32 32 BENO 1 32 241. 501, 533. 11476, 7334. 14886. 1.12 o, 174, 174. 32.

33 533, 501, 241, 16340. 13490, 18404. 1,12 o, 245,* HS, 33 e
- ,_* (
BENCHMA~OBLEMS_
C~~TION FOR PIPDYN II COMPUTER PROGRIHI FRC PROJECT N0 0 31I*C2530*02 SRSS OP' THE SEISMIC RESULTS ~

SUMMARY

OF RESULTS FOR LOAD NUMBER 1 LOAD TITLEI SRSS COMBINATION OF THE EARTHQUAKE X=l,Ya.b67,Z*le0 DIRECTION JOINT ORIGINAL LOCATIONS OF MAXIMUM DISPLACEMENTS DISPLACEMENT 1 DISPLACEMENT 2 DISPLACEMENT J NUMBER NUMBER JOIHT NO , (INCHES) (INCHES) UNCHE.5) 4
.1 7 7 0.090382320 0.000010549 0.031393390 2
3 13.
10 13 10 0.075197431 0.075179427 0.058443232 0.041829286 0,031575265 o.ouus385 LOCATIONS OF MAXIMUM STRESSES COMPUTED IN ACCORD WITH USAS Bll,1 POWER PIPING CODE
-. BRANCH NUMBER 1
STRESS DUE TO LOAD ELEMENT 2
STRESS CPSI) 1854, 1 COMBXMED STRESS (LOAD ELEMENT 2
1 + PRESSURE)
STRESS (PSI) 1854. *

FORCES AT BOUNDARY JOINTS CIN GLOBAL SYSTEM)

~**
BOUNDARY JOINT NO
-1 Fl '
F
. !517, 0 R c E 8
-* F2 LBS )
Fl
~
Ml M 0 M E N T M2 s JN*LBS )
Ml N!:N JOINT ND.

136, 391. 1614;, 49055, 10323, l

7. o. 105, o. o, o, o, 7 1J o, 26. o, o, o. o, u 18 o. o. o,.

316, 513. 0, 18 25 o. o. 4. o, o, o, 25 31 o. o. 1, 0, o,. o, .... u 33 650, 241, u UOTESI R!:f!:R TO BOUNDARY CONDITION TABLE FOR CONSTRAINT CONDITIONS 336, roR TOTAL CONSTRAINT FORCE ADD NEGATIVE OF APPLIED CONCENTRATED LOADS 15894. 18397. 1402]~,.
41 G
t c
El Cl
\ ..
F. I. R .L PIPDYN - I I VERIFICATION .
Project IPage
~nklin Research Center 1
A Division of The Franklin Institute Th~ ~nj.,min Franklin Parkway. Phi!d.. Pa. 19103 G. Beck, 5/22/79 Title PIPDYN II VERIFICATION.
CREDE 1 S PROBLEM Introduction The purpose of this problem is to compare the two invariant dynamic characteristics of a three-dimensional structure, mode shapes and frequencies, as computed by PIPDYN II with those of experiment and the ANSYS Computer Code. The problem is taken from Reference 1 and the ANSYS solution is presented in Reference 2.
Problem Description The structure shown in Figure 1 is comprised of lengths of two-inch steel pipe with internal lining of damping material, and 2.75 inch steel cubes welded together as sho0n. The entire assembly is welded to a heavy base that, for the experimental phase of the program, was supported on relatively compliant springs to minimize unknown influences at the support.
In formulating the mathematical model, the mass of the cube plus three adjacent 3-5/8 inch lengths of piping was lumped at each corner. Intermediate masses consist of the mass of ten-inch lengths of piping. At the base, the mass of a five-inch section of piping is concentrated. The resulting mathematical model is shown in Figure 2. The PIPDYN II program renumbers the joints for minimum bandwidth. All other model parameters are identical.
Model Data (a) Member Properties Pipe outside diameter (inches) 2.375 Pipe wall thickness (inches) 0.154 Young's Modulus-E {psi) 27.9E6 Poisson's Ratio - µ 0.3 FORM 207-101\.1-4-74-CP
. _ ~nklin Research Center A Division of The Franklin Institute The Benjamin Franklin Parkway, Phi Id., Pa. 19103 Project G. Beck, 5/22/79 IPage 2
Title PIPDYN II VERIFICATION (b) Geometry and Weights Joint Coordinates {inches} Mass Point -x -
y
-z lb-in/sec 2 1 0 10 0 -3 8.933 x 10_3 2 27.25 10 o 8.933 x 10_3 3 27.25 10 17.25 8.933 x 10_3 4 0 lO 17.25 8.933 x 10 2 5 0 18.625 17. 25 2.5355 x 1g3 6 0 18.625 8.625 8.933 x 10 -2 7 0 18.625 0 2.5355 x 1Q3 8 8.625 18.625 0 8.933 x 10_3 9 18.625 18. 625 0 8.933 x 10 2 10 27.25 18.625 0 2.5355 x 1Q3 11 27.25 18.625 8.625 8.933 x lO 2 12 27.25 18.625 17.25 2.5355 x 1g3 13 18.625 18.625 17.25 8.933 x l0_3

~ 14 15 8.625 0

18.625 0
17.25 0
8.933 x 10 0
16 27.25 0 o *o 17 27.25 0 17. 25 o 18 0 o 17. 25 o (c) System Restraints (i) 15, 16, 17 and 18 are full anchors.
(ii) The corners are modeled as the junction of three mutually perpendicular pipes -- the block stiffness is not taken into consideration .
FORM 207-10\1-4-74-C?
P.roj ec t Page
~nklin Research Center A Division of The Franklin Institute G. Beck, 5/22/79 3
Thr Benjamin Frwk!in P1Jrkway. Phi!.s., Pa. 19103 Title

PIPDYN rr VERIFICATION Figure 1. Three-Dimensional Structure Used in Experiment

- Element Number J - Old Joint (J) - New Joint y
(.'.>.}15 lex z
/
i Figure 2. Mathematical Idealization of Three-D1mens1ona true ure FORM 207-101\1-4-74-CP for ANSYS and PIPDYN II .

~-**--~---------------------------r.::P-ro-J~.e-c~t----~~~----i~P~a-ge:-~-------------,

!~** ~nklin Research Center 4

I A Division of The Franklin Institute G. Beck, 5/22/79
/ ~*-------Th-**-~~ni_*~_*n_f,._n~_*n_P*_*~-*y_.~_;~_
.. P_~_19_1o_J______....._____________________________________---I Title PIPDYN II VERIFICATION Table 1.1 Comparison of Frequencies and Direction of Excitati oh Resonant Freguenc,Y, Hz Excitation Directions*
Experiment Experiment Mode {Crede} AN SYS PIPDYN II (Crede} AN SYS PIPDYN II PIPE SD 1 110 111. 5 111. 6 111.2 x x x 2 117 115. 9 116 115. 8 z z z 3 134 137 .6 137.7 137.1 x,z x,z x,z 4 214 218.0 218. l 215.8 y,z y,z x,z 5 359 404.2 404.4 404.2 x y y 6 382 422.7 422.9 422.6 y y y 7 416 451. 7 451. 9 451. 5 y z z 8 553 554.0 554.2 548.9 z z z 9 697 735.7 736.0 733.4 y *y y 10 821 762.3 762.6 758.3 x,y x x 11 853 852.6 852.9 851.1 y x x 12 885 894. 1 894.4 891. 9 x x,y x,y 892.8 13 898 910.2 910. 6 x,y x,y x,y It can be seen that PIPDYN I I compares very well with ANSYS and experiment.

For ANSYS and PIPDYN II the excitation directions are the directions with significant mass ~articipation.fa~tors .

FORM 207-lOM-4-74-CP
Project I
~nklin Research Center Page 5
A Division of The Franklin Institute The Benjamin Franklin Parkway. Phi!a .. Pa. 19103 Title PIPDYN II Result Verification: Static Analysis of a Three-Dimensional Piping Structure Introduction This benchmark problem is taken from Problem 6 of reference 2. The p1p1ng system as shown in Figure 3 consists of 13 sections of straight pipe, 4 elbows, and 3 valves. It is rigidly supported at point B, elastically supported at point A, and subjected to a prescribed displacement and rotation at point C. PIPDYN II is used to compute the resulting displacements and stresses throughout the system from the action of the anchor displacement, thermal expansion and its own weight.
The results will be compared with those obtained by the ANSYS code of Swanson Analysis System, Inc. and WESTDYN code of-Westinghouse Nuclear Energy Systems, as presented in reference 2.
Geometry Data The straight pipe is a standard 3 inch, schedule 40 steel pipe having an outside diameter of 3.5", .216 wall thickness. The elbows are 90° bends of the same pipe having a radius of curvature of 4.5 11

For the three valves which have irregular shapes and are comparably stiffer than the neighboring connecting pipe are simu-lated by the finite elements with the following geometrical sectional properties:

Valve Area (in 2)

Izz (in )
6 6
-D 10 25
-E 15 20
-F 15 5
.Iyy (in ) 20 20 25 tz (in), depth of cross-section l 1 1 ty (in), width of cross-section 1 l l J (in )
4 35 50 50 where x is the coordinate direction along the element axis, and y-z are two other axes along the cross-section plan as shown below:

FORM 207-lOM-4-74-CP Figure 4. Finite Element Model for Valve

Project I Page
~nklin Research Center A Division of The Franklin Institute 6
The Benjamin Franklin Parkway, Pht14 .. Pa. 19103 Title PIPDYN II Result Verification: Static Analysis of a Three-Dimensional Piping Structure The stiffness constants of the elastic support at point A are 1000 lb/in for the linear displacement along coordinate directions and 0.1 x 105 in-lb/rad for the -
angular rotation about the coordinate axes. Table 2-1 below shows the nodal coor-.
dinates for joints assigned to the locations as shown in Figure 3.
Table 2-1. Joint Coordinates (inches)
-x -z Joint No. y 1 0.00000 90.00000 0.
2 0. 10000 90.00000 o.
3 20.10000 90.00000 0.
4 30.10000 90.00000 0.
5 38.78198 88.68198 o.
6 40.10000 84.00000 o.
7 48.78198 82.68198 0.
8 49.32630 64.52382 0.
9 40. 1 80.0 0.
10 40. l 70.0 0.

11 12 13 14 15 16

40. 1 40.l

40. l*

40. 1

40. l

40. l 60.0 51 . 31802 50.0 0.0 50.0 50.0 o.

l. 31802 10.0 10.0 20.0 30.0 I

17 40.0 50.0 90.0 18 35.6* 90.0 0.

19 40. 1 85.5 0.
20 45.6 84.0 o.
21 50. l 79.50 0.
22 50.1 67.04665 0.
23 47.27126 62.8685 0.
24 40. l 54.50 0.
25 40. 1 50.0 4.50 Material Properties Straight Pipe and Elbow:
6 Young's Modulus: 29.9 x 10 psi 4
Coefficient of Thermal Expansion: 0.2178 x 10- in/in °F Poisson's Ratio: 0.3 3
Mass Density: 0.733161 x 10- 3 lb/in FORM 207-1OM-4*74-CP
Project Page
~nklin Research Center A Division of The Franklin Institute 7
The ll<!njomin Franklin Parkway, Ph;!.s., Pa. 19103 Title PIPDYN II Result Verification: Static Analysis of a Three-Dimensional Piping Structure y
Legend:
2: controlling nodal joint nos. for preprocessor input l: additional nodal joints generated by*preprocessor l: element nos.
\
\

Figure 3. Finite Element Model of Piping System Used as PIPDYN II Benchmark Problem for Static Analysis FORM 207*10M*4-74-CP

Project
~nklin Research Center A Division of The Franklin Institute 8
The Benjamin Frank.Jin Parkway, Phi!a., Pa. J910J Title PIPDYN II Result Verification: Static Analysis of a Three-Dimensional Piping Structure The valves are made of the same material, but having different mass densities than given above.
Mass density for valves D and E: 0.777202 x 10- 3 lb-in/in 3 Mass density for valve F: 0.103627 x 10- 2 lb-in/in 3 Loading Conditions The whole piping system is subject to a uniform temperature rise of l00°F above the ambient temperature. Point B remains fixed while point C is given the x,y,z-directional displacements of 0.1 in.,-0.08 in., and 0.05 in., and the angular rotations about the x, y, z-coordinate axes of 0.005 rad, -0.001 rad, and -0.005 rad.
respectively. The gravitational vector of the system acts in the negative y-direction.
PIPDYN II Mathematical Model

The straight pipes and curved elbows are modeled as the three-dimensional straight and curved beams with the exact cross-sectional properties including shear deflec-tion factors. In addition, the appropriate flexibility factor for the elbow bend is also included in the element stiffness computation. The valves are modeled as the special elements with the exact mechanical properties specified where the shear deflection factor assumes a unit.

Results Table 2-2 lists the reaction forces at the three restraint boundary points as computed from PIPDYN II computer program. Results obtained from two other codes, ANSYS and WESTDYN are also presented to show the comparable accuracy of PIPDYN II with these two codes.
Table 2-3 shows the displacement solution for the few selected points of the piping system. Comparison with the results from ANSYS and WESTDYN Codes, one can see that the results from PIPDYN II are in good agreement with those obtained by ANSYS and WESTDYN Codes .
FORM 207-10M-4-74-CP
Project I
~nklin Research Center Page 9
A Division of The Franklin Institute Th* S.njomin Franklin Porkway. Philo., Pa. 19103 Title PIPDYN II Result Verification: Static Analysis of a Three-Dimensional Piping Structure Table 2-2. Reaction Forces at the Restrained Points and Comparison with Those Obtained by ANSYS and WESTDYN Codes -
Nodal No. Component ANSYS Result PIPDYN II WES TOYN 1 Fx -48.6* -49.0 -49.0 1 FY 2.9 3.0 4.0 l Fz 144.2 144.0 144.0 1 Mx 9.6 9.0 10.0 l My -33.3 -33.0 -34.0 l Mz -20.0 -20.0 -20.0 14 Fx 286.3 286.0 287.0 14 FY 712.7 727 .0 837.0 14 Fz 1984.6 1985. 0 1981.0 14 Mx 66572. 2 66571.0 66516.0 14 My 1441. 6 1438.0 1407.0 14 Mz -16591.2 -16594.0 -16599.0.
17 Fx -237.7 -238.0 -238.0 17 FY -512.7 -494.0 -469.0 17 Fz -2128.9 -2129.0 -2126.0 17 Mx -13677. 9 -13482.0 -13173.0 17 My 11356. 9 11360.0 11382.0 17 Mz -220.8 -223.0 -210.0

Solution results from ANSYS ar~ rounded off to the first significant figure only .

FORM 207-lOM-4-74-CP
Project I
~nklin Research Center Page 10

A Division of The Franklin Institute The ~njamin Franklin Porl<way, Ph;la., Po. 19103 Title PIPDYN II Result Verification: Static Analysis of a Three-Dimensional Piping Structure.

Table 2-3. Displacement Solutions at Joints 2, 6, 22, 11, and 13 and Comparison of Results from ANSYS and WESTDYN -
Joint . Component ANSYS PIPDYN II WESTDYN 2 ux .04863 .04873 .050 2 Uy -.00284* -.00264 -.004 2 uz - *14418 -.14448 - .145 2 8 -.00096 -.00095 -.0010 x
2 ey .00333 .00332 .0034 2 ez .00200 .00199 .0020 6 ux . 14652 .14660

147 6 Uy .06353 . 06351 .063 6 uz -.25589 - . 25581 -.258 6 8 -.00150 -.00149 -. 0016 x

6 ey .00128 .00127 .0013 6 ez .00169 .00169 .0017 22 ux . 20071 . 19656

201 22 Uy .03749 .04302 .037 22 uz -.23096 -.23570 -.232 22 ex - . 00194 -.00192 -.0020 '

22 ey -.00065 .00062 .0007 22 ez .00168 .00167 .0016 11 ux .18648

18643

187 11 Uy . 01129 . 01129

011 11 uz -.21779 -.21780 -.218 11 ex -.00191 -. 00191 -.0020 11 ey .00033 .00034 .0004 11 ez .00158 .00158 .0016 13 ux .* 18510 . 18510 .185 13 Uy .02837 .02837 .028 13 uz - . 17186 -.17186 -.172 13 ex -.00440 -.00440 -.0044 13 e -.00204 -.00204 -.0020 13 e~ .00023 .00023 .0002 FORM 207-1 OM-4-74-CP

Project I Page
~nklin Research Center 11 A Division of The Franklin Institute The ~njamin Franklin Parkway, Phila., Pa. 19103 Title PIPDYN II Result Verification: Dynamic Response of Lumped Mass Elastic System to Ground Shock by SRSS Method Introduction One of the important features in PIPDYN II computer program is the computation of elastic system response to shock disturoance either by direct time integrations or response spectrum method. The latter method has been adopted by NBC as an acceptable method for computing nuclear structural response to seismic excitation.
It is desirable to determine the computational accuracy of the PIPDYN II results on the design parameters of interest such as the total system displacement, and bending moment by comparison with corresponding analytical results.
Problem Description This prob 1em is taken from* the examp 1e on page 64 of reference 3. It is a 1umped mass system to approximate a uniform cantilever beam of total mass m and length 1 (Figure 5). We will investigate the system response to a ground shock distur-bance having the acceleration and displacement spectrum as shown in Figure 6.
The dynamic characteristics*of the system, natural frequencies and modal shapes~
and the system response parameters, the maximum relative free end displacement,

and the bending moment at the base will be compared with the analytic results obtained by Young.

Problem Data and Material Properties The cantilever beam is a steel pipe of length 144 inches having the outside dia-met~r 2.375 in. and wall thickness of 0.154 in. The Young's Modulus of the steel is 29,000,000 psi. Young has tomputed the natural frequencies of the system.
In the system response computation, he adjusted the density parameter to yield the lowest frequency of the system to be exactly 3 cps. Accordingly, the mass density is computed as fo 11 ows :*

3.42 QI = 3 {ref. 3)

>, 271' 3 .
m1 where E = 29,000,000 psi, 9. = 144 I= .6657 in 6 11 Therefore, m = .2128 lb-sec 2/in. The total weight of the system is w = mg =
82.22592 lbs. The weight per unit length is w1 = w/144 = .5710 lbs/in.
PIPDYN II Model The cantilever ~lastic system is modeled by 4 interconnected three-dimensional beam elements with uniform hollow circular cross-sections. No shear deflection factor is included and one master degree of freedom in the x-direction only is assigned to each joint except the joint at the base.
FORM 207-10M-4-74-CP
Project Page
~nklin Research Center A Division of The Franklin Institute 12 The ~njamin Franklin Parkway. Phil.o., Pa. 19103 Title PIPDYN II Result Verificatipn: Dynamic Response of Lumped Mass Elastic System to Ground Shock by SRSS Method
.. I mi=m/a

m2=m/4

-~s(I)
Figure 5. Response of Lumped Mass Cantilever System to Ground Shock I I I I I ~l I I I l7 I I I /
I I ./
/
,, I
,~V1,ae(11C-T I I/ IO I/
I J
............. /
.. . ')<
x j
II' '\
i'.I'..
c D
o-r.
I
' / ~
f s
"*tl
.?. .
y
/ "'\.
' .-1-- g*
" ,ft '
-*cnu...ror 3*
I I
~ --
OJ i'r\. 0..1 I

/ I I ..

I *~ \ . .
I

.Ill 01 I

Figure 6. Ground Shock Response Spectra I)
FORM 207-10.',1*4-74-CP
Project IPage
~nkJin Research Center A Division of The Franklin Institute 13 The Benjamin Franklin Park*..ay. Phila., Pa. 19 JOJ Title PIPDYN II Result Verification: Dynamic Response of Lumped Mass Elastic System to Ground Shock by SRSS Method Results Tables 3-1 and 3-2 list the computational results from PIPDYN II computer program and Young's analytical results of the natural frequencies, modal shapes of the system. Because of different normalization schemes used in the eigenvector computations, the computed PIPDYN II eigenvectors are renormalized to have a unit mod a1 value at the free end .of the sys tern.
Table 3-1; Natural Frequency Mode No. 1 2 3 4 PIPDYN II 2.998 17.625 46.676 81.363 Young. 3.0 17. 60 46. 7 81.5

Joint No.

5 l. 0000 Mode l PIPDYN !I Young

l. 0000 Table 3-2.

Mode 2 PIPDYN II Young

l. 0000 Mode Shapes Mode 3 PIPDYN II Young 1.0000 l.0000 Mode 4 PIPDYN II Young 1.0000 l. 0000 1 .0000 4 . 6541

6541 - . 2725 -

2724 -1. 0981 -1. 0979 -1. 7298 -1. 7291 3 .3360 .3360 -.8282 -.8283 .3081 .3075 2.6455 . 2.6428 2 .0959 .0959 -.4544 -.4545 1. 1971 1 .1977 -2.6843 -2.6797 1 0. 0. 0. 0. 0. 0. 0. 0.0 Maximum Relative Displacement at Free End PIPDYN II SRSS Result u5 = 4.25423 in.

Young's SRSS Result u5 = 4.2507 in.
Bending Moment at Base With the consistent acceleration spectrum, both the PIPDYN II computer program and Young compute comparable bending moment at the base as indicated below:

PIPDYN II SRSS Bending Moment at Base= 17017.0 lbs-in.

Young's SRSS Bending Moment at Base = 17013.2 lbs-in.
FORM 207-1 OM-4-74-CP
Project IPage
~nklin Research Center A Division of The Franklin Institute G. Beck, 5/22/79
.14 The Benjamin Frank.Jin Parkway, Phi!a.* Pa. 19103 Title PIPDYN II VERIFICATION References

1. Crede, C. E., Shock and Vibration Concepts in Engineering Design, Prentice-Hall, Englewood Cliffs, NJ.

2. Tuba, I.S., and Wright, W.B., Ed., Pressure Vessel and Piping 1972 Computer Programs Verification, ASME 1972.

3. Barton, M.V., ed., Shock and Structural Response, ASME 1960 .

FORM 207-10M-4-74-CP
ASME BENCl-nt.i.ARK PROBLEM NO. 1 PISOL VERIFICATION
..naror'I
. File Ref.: ASME PRESSUR" VESSEL AND PIPING DIVISION 0 COP.4"'1TTEE ON COMPUTER TECHNOLOGY*
PROGRAM VERIFICATION AND QUALi FiCA (ION PROBLEM LIBRARY 9** A PROBLEM ON DYNAMIC ANALYSIS OF A THREE-DIMENSIONAL STRUCTURE PROBLEM DESCRIPTION The problem description and data used in its solution can be found on pages l 2, and 3 of I3enchmark Problem No. 1.
SOLUTION The solution listed in TABLE l represents a portion of the modal response analysis of the lumped-mass system described in the mathematical model (FIGURE

1) and in Benchmark Problem No. 1. The solution to the problem was found using PISOLlA, a program developed by EDS Nuclear Inc. for the seismic analysts of arbitrary three-dimensional piping systems, and was obtained using a CDC 6600 computer. The solution is based on a lumped-mass model consisting of 42 dynamic degrees of freedom with each of the displacement degrees of freedom at each of the 14 lumped masses represented. Details of the complete solution have been docu-mented and are available upon request from EDS Nuclear Inc., 220 Montgomery, San Francisco, CA 94i04. . IO . i y REVISION NO.

x J2
<iJ 1 3 I 17 15 LEGEi-JD
.4- . 1

NODE NAUE

@ @*STRAIGHT IB MEMBER NAME FIGURE 1 PICTORI.-\L REPR ESEi\'T AT ION OP MATHEMATICAL MODEL Solution No.

'1 File Ref,:

A 8 c D E F G H J M N
. ', 4 r.:>r'I F,ile Alf.: ASME PRESSUR ... VESSEL AND PIPING DIVISION 0 co~**1neE ON COMPJTER TECHNOLOGY

- PROGRAM VERIFICATION AND QUALIFICAi'ION PROBLEM LIBRARY

e. I RESULTS ~ .

The results of the frequency analysis using PL50L1A are excerpted from the output and are tabulated in TABLE L TABLE 1 CALCULATED :\ND ~1EASURED FREQUENCIES AND DIRECTIONS OF PRINCIPLE EXClT ATION MEASURED(l) ANSYS RESULTS PISOLlA RESULTS Resonant Excitation Resonant Excitation Resonant Excitation(2)
Frequency Direction Frequency Direction Frequency Direction cps cps cps 110 x 112 x 111 x m
> 117 z 116. z 116 z

1 m "O

134 x.z 138 x.z 137 None cz c(Q.a. .::~ 214 Y,Z 218 Y, Z 216 None 359 382 x
y 404 y
405 y
416 y 423 y 422 y 553 z
452 554 z
z 453 550 z
z 697 y 736 y 735 y REVISION NO. 821 X,Y 762 x 758 x 853 y 853 x 1 855 x
--- -- 894 X,Y 893 y 885 898 x
X,Y 910 X,Y 893 909 x
None .
I (1) Credc, C. E., ;'Shock and Vibration Concepts in Engineering Design," Prentice Hall, Inc., Englewood Cliffs, N. J.
(2) No significant participation factor means the maximum directional participation factor for a given frequency is less than O. 0253 oi the maximum directional participation factor for any frequency *

,,., Fil* Ref.:

Sol*Uoo No. !?'
PROBLEM NO.
~
p:;
~
~
p r:n z
0
~
p:;
~
P-t
~
0 u
Q

z;

~
z 0H E-t
~
u .-
H f.r.i H
p:;
µ:i l>
µ:i f:.1 P-t p:;
µ:i P-t p
r:n
SUPERPIPE VERIFICATION AND COMPARISON

SUMMARY

SUP ERP IP E contains capabilities that many other piping programs do not have.
Therefore, the comparison of SUPERPIPE with other piping programs is limited to an evaluation of forces, moments and displacements. Two piping problems were selected for a comparison between SUPERPIPE, PISOL and PIPESD. The first problem used for comparison is the ASME Benchmark Problem No. 6.
This piping model is used for an evaluation of static analyses results only. A .
relative comparison of the significant portions of the results is contained in tables 1 and 2. Figure 1 is a pictorial representation of the mathematical model used in making the analyses.
The second piping problem selected for comparison is the same problem that appears in the SUPERPIPE mini-manual. This piping system is used becallse it is realistic and will e.xercise most of the standard features in any piping pro-gram. The relative comparison of results from the SUPERPIPE mini-manual problem includes both static and dynamic (response spectrum) analyses results.
The relative comparisons of the SUPERPIPE mini-manual results are contained in tables 3 through 9. Figure 2 contains a pictorial representation of the mathe-mati9al model for problem number 2 *

The piping problems used in evaluating SUPERPIPE were selected on the basis of credibility within the piping industry and overall capability. The slight vari-

i.nce of values contained in the summaries is attributable to the different method of solution that each program uses and does not represent errors in analyses.

COMPUTER RUNS SUPERPIPE MINI-MANUAL SAMPLE PROBLEM PISOL3A ASIYIE BENCHI\'1.1\RK PROBLEM NO. 6 SUPERPIPE ASl\1E BENCillvIARK PROBLEM NO. 6 SUPERPIPE CLASS 1 SAMPLE PROBLEM (LOAD CASES)
SUPERPIPE CLASS 1 SAi.\'IPLE PROBLEM (STRESS REPORT)
PIPESD MINI-MANUAL SAlVIPLE PROBLEM (LOAD CASES) 1 PISOL3A(STATIC) It PISOLl~(DYNAMIC) It
" THESE RUNS CONSTITUTE A COMPLETE CLASS TWO PISOL7B(STRESS) It
" ( ANALYSIS ON THE PISOL SUPS UM " It SERIES OF PROGRAMS PLOT " "
TIN IT " II PAX2A " It
y

z. x LEGEND l = N9DE NAME

@) = STRAIGHT MEMBER f.JAME
@IJn CURVED ME.Y!BER }.JAME B
FIGURE 1 PICTORIAL REPRESENTATION OF .0.-IATI-IEMATICAL MODEL TABLE 1 ANCHOR REACTIONS (lb.' in. - lb.)
Reaction Component F F (1) F M M M Node Solution by x _Y_ z x __ y_ z ANSYS -49 3 144 10 -33 -20 WESIDYN. -49 4 144 10 -34 -20 2
PISOL3A -49 3 144 10 -33 -20 SUPER PIPE -49 4* 148 12 -35 -19

ANSYS 286 713 1985 66572 1442 -16591 WESIDYN 287 ' 837 1981 66516 1407 -16599 20 PISOL3A 286 731 1983 66545 1439 -16591 SUPER PIPE 288 762 2044 67527 1432 -16693 ANSYS -238 -513 -2129 -13678 11357 -221 WESIDYN -238 -469 -2126 -13173 11382 -210 23 PISOL3A -237 -496 -2127 -13729 11358 -221 SUPERPIPE -240 -528 -2192 -14339 11383 -199

(1) Variation in F v due to differences in ANSYS, WESTDYN, and PISOL3A.

wei~ht distribution algorithm in
TABLE 2 NODE POINT DISPLACEMENTS

u (in., rad.)

Displacement Component uy ux Node Solution by
-x-
<,Ox !_y_ <,Oz AN SYS

049 -. 002 -.144 -. 0010

0033

0020 WESIDYN

050 -. 004 -.145 -. 0010 . 0034

0020 4

PISOL3A

049 -. 003 -.144 -. 0010

0033

0020 SUPERPIPE

049 -. 004 -.148 -. 0012 .0035

0019 ANSYS .147 . 063 -. 256 -.0015 .0013 . 0017 WESIDYN .147

063 -. 258 -.0016

0013

0017 9

PISOL3A .147

063 -. 256 -. 0015

0013 . 0017 SUPERPIPE .146

060 -. 256 -. 0018

0014 . 0016 AN SYS

201

037 -.231 -. 0019 . 0007

0017 WESIDYN

201

037 -. 232 -. 0020

0007

0016 12 PISOL3A . 201

027 -. 232 -.0020 .0007

0017 SUPER PIPE . 200

034 -. 236 ~.0022 .0007

0016 AN SYS .186 . 011 -. 218 -. 0019 . 0003 . 0016 WESTDYN .187 . 011 -. 218 -. 0020

0004

0016 16 PISOL3A .187 '011 *** 218 -. 0019 . 0003 . 0016 SUPERPIPE .185

008 -. 221 -.0022

0004

0016 ANSYS .185 . 028 -.172 -. 0044 -. 0020

0002 WESIDYN .185 . 028 -.172 -.0044 -. 0020 . 0002 19 PISOL3A .185 . 028 -.172 -.0044 -.0020

0002 SUPERPIPE .184

028 -.172 -. 0047 -.0020

0002

ASME BENCHMARK PROBLEM NO. 1 PISOL VERIFICATION

, .narOl"'I file Ref.:

ASME PRESSUW" VESSEL ANO PIPING DIVISION 0 COf.11 .. 'TTEE ON COMPUTER TECHNOLOGY PROGRAM VERIFICATION AND OUALIFICA flON PROBLEM LIBRARY A PROBLEM ON DYNAM!(; ANALYSIS OF A THREE-DIMENSIONAL STRUCTURE PROBLEM DESCRIPTION The problem description and data used* in its solution can be found on pages 1 2. and 3 of Benchmark Problem No. 1. ~
SOLUTION The solution listed in TABLE 1 represents a portion of the modal response analysis of the lumped-mass system described in the mathematical model (FIGURE

. 1) and in Benchmark Problem No. I. The solutfon to the problem was found using m PISOLlA, a program developed by EDS Nuclear Inc. for the seismic analysis of I"' g G

I

.arbitrary three-dimensional piping systems, and was obtained using a CDC 6600
!0

computer. The solution is based on a lumped-mass model consisting of 42 dynamic z

degrees of freedom with each. of the displacement degrees of freedom at each of the 14 lumped masses represented. Details of the complete solution have been docu-

9 mented and are availab~e upon request from EDS Nuclear Inc., 220 Montgomery, San Francisco, CA 94104.

10
. Y REVISION NO.

1 .3 r 17 15 LEGE~D J. . J .. NODE NA~1E
@ @ .. STRAIGHT 18 MEMBER NAME FIGURE 1 PICTORIAL REPRESEi\1T AT ION OF MATHEMATICAL MODEL Solution No.
"1 File Ref.:
A B c 0 f. F G H J IC M N

=*--~*--** -------
r~r** fil* Aef.: ASME PRESSUFI"' VESSEL AND PIPING DIVISION Q COM 0 *1rree ON COMPJTER TECHNOLOGY PROGRAM VERIFICATION AND QUALIFICAa'ION PROBLEM LIBRARY RESULTS The results of the frequency analysis using PISOLlA are excerpted from the output and are tabulated ln TABLE 1.

TABLE l CALCULATED AND MEASURED FREQUENCIES AND DIRECTIONS OF PRINCIPLE EXCITATION MEASURED(!) ANSYS RESULTS PISOLlA RESULTS Resonant Excitation Resonant Excitation Resonant Excitation(2)
Frequency Direction Frequency Direction Frequency Direction cps cps cps

. llO x 112 x 111 x m

. 117 z 116 z 116 z

la x.z x.z CD

~
134 138 137 None g
c Q.

214 Y,Z 218 Y, Z 216 None z <

359 382 x
y 404 y
405 y
416 y 423 y 422 y
~-- -- 452 z 453 z 553 z 554 z 550 z 697 y 7.% y 735' y REVISION NO. 821 X,Y 7q2 x 758 x 853 y 8.53 x *1

855 x

--- -- 894 X,Y 893 y 885 898 x
X,Y 910 X,Y 893 909 x
None .
I (1) Credc, C. E., :'.Shock and Vibration Concepts in Engineering Design," Prentice Hall, Inc., Englewood Cliffs, N.J.
(2) No signifieant participation factor means the maximum directional participation factor for a given frequency is less than 0. 0253 of the maximum directional participation factor for any frequency.
SoMi~ No.?
,,., File Ref.: .PAOBl.EM NO.
SUPERPIPE VERIFICATION AND COMPARISON SUM1\.1ARY SUPERPIPE contains capabilities that many other piping programs do not have~
Therefore, the comparison of SUPERPIPE with other piping programs is limited to an evaluation of forces, moments and displacements. Two piping problems were selected for a comparison between SUPERPIPE, PISOL and PIPESD. The first problem used for comparison is the ASME Benchmark Problem No. 6.
This piping model is used for an evaluation of static analyses results only. A relative comparison of the significant portions of the results is contained in tables 1 and 2. Figure 1 is a pictorial representation of the mathematical model used in making the analyses.
The second piping problem selected for comparison is the same problem that appears in the SUPERPIPE mini-manual. This piping system is used because it is realistic and will exercise most of the standard features in any piping pro-
. gram. The relative comparison of results from the SUPERPIPE mini-manual problem includes both static and dynamic (response spectrum) analyses results.
The relative comparisons of the SUPERPIPE mini-manual results are contained in tables 3 through 9. Figure 2 contains a pictorial representation of the mathe-matical model for problem number 2.
The piping problems used in evaluating SUPERPIPE were selected on the basis of credibility within the piping industry and overall capability. The slight vari-ance of values contained in the summaries is attributable to the different method of solution that each program uses and does not represent errors in analyses.
COMPUTER RUNS*
SUPERPIPE MINI-MANUAL SAMPLE PROBLEM PISOL3A ASME BENCHTvIARK PROBLEM NO. 6 SUPERPIPE ASl\IB BENCH1vIARK PROBLEM NO. 6 SUPERPIPE CLASS 1 SAMPLE PROBLEM (LOAD CASES)
SUPERPIPE CLASS 1 SAMPLE PROBLEM (STRESS REPORT)
PIPESD MINI-l\1ANUAL SAMPLE PROBLEM (LOAD CASES)
~
PISOL3A(STATIC) " "
PISOLL~(DYNAMIC) " " THESE RUNS CONSTITUTE PISOL7B(STRESS) A COMPLETE CLASS TWO
" " ANALYSIS ON THE PISOL SUPS UM " " SERIES OF PROGRA:rvrs PLOT " "
TINIT 11 II e PAX2A II
. *2 y 0@
4 s
© \v. f,;\
6 7 *,[g B
I,'! f-f' z x rs:-.~10' [TI]
. '..:::;; 14-
@ II 15 @~
0 12
@lb LEGEND
, 17 13 1 [c3 j
) , @I] l = NQDS NAME 1q 1.6
@),,. STRAIGHT MEMBER tJAME
[f[J= CURVED MEMBER I-JAME B c 20 FIGURE 1 PICTORIAL REPRESENTATION OF MATHEMATICAL MODEL TABLE 1 ANCHOR REACTIONS (lb.' in. - lb.)
Reaction Component F F (1) F M M M Node Solution by x _Y_ z x y z ANSYS -49 3 144 10 -33 -20 WESTDYN -49 4 144 IO -34 -20 2 -20 PISOL3A -49 3 144 10 -33 SUPER PIPE -49 4* 148 12 -35 -19 ANSYS 286 713 1985 66572. 1442 -16591 WESIDYN 287 ,, 837 1981 66516 1407 -16599 20 -16591 PISOL3A 286 731 198.3 66545 1439 SUPERPIPE 288 762 2044 67527 1432 -16693 ANSYS -238 -513 -2129 -13678 11357 -221 WESIDYN -238 -469 -2126 -13173 11382 -210 23 -237 -496 -2127 -13729 11358 . -221 PISOL3A SUPERPIPE -240 -528 -2192 -14339 11388 -199 (1) Variation in Fv due to differences in weight distribution algorithm in ANSYS, WESTDYN, and PISOL3A.
TABLE 2 NODE POINT DISPLACEMENTS e- (in., rad.)
Displacement Component ux uy ux Node Solution by (Ox i 0z AN SYS

049 -. 002 -.144 -.0010 .0033 .0020 WESIDYN

050 -. 004 -.145 -. 0010

0034

0020 4

PISOL3A_

049 -. 003 -.144 -. 0010 . 0033

0020 SUPER PIPE

049 -.004 -.148 -. 0012 .0035

0019 ANSYS .147

063 -. 256 -. 0015

0013

0017 WESTDYN .147

063 -. 258 -.0016 .0013

0017 9

PISOL3A .147

063 -. 256 -. 0015

0013 . 0017 SUPERPIPE .146 . 060 -. 256 -. 0018

0014 . 0016 AN SYS

201

037 -.231 -. 0019 . 0007

0017 WESIDYN

201

037 -. 232 -. 0020

0007

0016 12 PISOL3A . 201

027 -. 232 -.0020 .0007 . 0017 SUPERPIPE . 200

034 -. 236 ~.0022

0007

0016

.186

011 -. 218 -. 0019-

0003

0016 AN SYS WESTDYN .187 . 011 --. 218 -.0020 .0004

0016 16 PISOL3A .187

011 -.218 -. 0019 . 0003

0016 SUPERPIPE .185

008 -.221 -. 0022 -

0004

0016 ANSYS .185 . 028 -.172 -.0044 -.0020

0002 WESID\'N .185 . 028 -.172 - -.0044 -.0020

0002 19 PISOL3A .185 . 028 -.172 -. 0044 -.0020

0002 SUPER PIPE .184

028 -.172 -.0047 -.0020

0002

-~
P.S. PRE-PROCESSOR-PIPDYN - II B.M. PROB. ANALYSIS.
-\
/
i.
\ * *

e COMPARISON OF FREQUENCIES BM PROBLEM # 1 MODE #s FREQUENCY CPS NRC PREPROCESSOR (PIPDYN) 1 28.53 28.5041 2 55.77 55.7169 3 81. 50 81. 3650 4 141.7 141. 979 5 162.8 162.645

COMPARISON OF FREQUEN'CIES BM PROBLEM# 2 MODE #s FREQUENCY CPS NRC PREPROCESSOR (PIPDYN) 1 8.712 8.70238 2 8.806 8.79634 3 17.51 17.4895 4 40.37 40.3085 5 41.63 41.5663
COMPARISON OF FREQUENCIES BM PROBLEM# 803 MODE #s FREQUENCY CPS NRC PREPROCESSOR (PIPDYN) l 4.036 4.01194 2 4.257 4.25049 3 9.116 9.1107:?
4 11.19 11. 2059 5 17.11 16.9975 6 18.17 17.9722 7 22.38 22.3572 8 27.19 27.207 9 28.01 28.3855 10 37.98 37.4312 11 40.97 40.3268
COMPARISON OF FREQUENCIES BM PROBLEM # 323A MODE #s FREQUENCY CPS NRC PREPROCESSOR (PIPDYN) 1 6.391 6.28716 2 9.993 9.90649 3 13.27 13.2889 4 14.49 14.5113 5 15.33 15.3324 6 17.50 17.5073 7 19.09 19.0808 8 19.62 20.2301

10 11 12 9 21.44 28.71 29.86 31.48 21.4306 28.6125 29.9441 31.5073 13 32.01 32.1029 14 36.37 35.7877 15 40.98 40.3117 16 41.37 41.8142 17 47.39 48.9136 18 49.77 52.8374 19 50.,:j.3 56.4918 20 52.93 58.5505 21 56.90 59.0085 22 58.51 67.5631 23 67.47 70.7180 24 70.46 72.1494 25 7 5 .41 75.9953 26 79.18 80.1355 27 80.74 . 81.4009 28 86.11 87.3550 29 88.28 99.0390 30 92.74 100.972 I 31 9 9.36 106.681 I

COMPARISON OF MODAL PARTICIPATION FACTOR BENCH MARK PROBLEM NO. 1 MODE DIRECTION -1 DIRECTION -2 DIRECTION -3 NO. NRC PREPROCESS PIPDYN NRC PREPROCESS PIPDYN NRC PREPROCESS PIPDYN 1 .1752 .17 576 -.02593 -.02603 -.3308 - .3313 2 .3628 -.3633 -.002074 .002 .1478 -.1483 3 -.05397 -.054 -.2582 -.2587 .02793 +.028 4 .08361 -.0849 -.05268 .0532 -.01174 .01036 5 -.07925 .07881 .06605 -.06559 -.01115 +.01094 I

COMPARISON OF MODAL PARTICIPATION FACTOR e.

BENCH MARK PROBLEM NO. 2 MODE DIRECTION -1 DIRECTION -2 DIRECTION -3 NO. NRC PREPROCESS PIPDYN NRC PREPROCESS PIPDYN NRC PREPROCESS PIPDYN 1 .6066 -.6073 .4814E-16 .7459E-10 .2194E-06 .00003214 2 .3749E-07 .3230E-04 -.9541E-17 -.1885E-10 -.6074 .6082 3 - .3236E-10 -.3286E-06

4532E-16 -

1214E-09 .6087E-ll -.5596E-07 4 -.1351E-13 .5648E-06 .008728 -.00873 . 2.261E-14 .7666E-08 5 .2258E-14 -

2844E-07 .00245 -.002452 .911E-13 .2375E-07

!, I
COMPARISON OF MODAL PARTICIPATION FACTOR BENCH MARK PROBLEM NO. 323A MODE DIRECTION -1 DIRECTION -2 DIRECTION -3 NO. NRC PREPROCESS PIPDYN NRC PREPROCESS PIPDYN NRC PREPROCESS PIPDYN 1 .6081 -.616648074 -5.977 6.050617268 -.1234 .136440793 2 -5.761 -5.7858 -.1995 -.2043 -2.996 -3.0250 3 -.5586 .5445 -3.156 3.1478 -1.951 1. 9204 4 2.306 -1.9917 .0930 -.0964 -3.540 3.6010 5 -3.312 -3.3014 -.000426 -:.0343 -7.389 -7.3762 6 4.790 4.8102 -3.024 -2.9766 -2.998 -2.9713 7 3.712 -3.7472.' .1287 -.0812 3.637 -3.5942 8 1.375 -1.4 716 0.02015 -.5224 -.3465 .7072 9 -5.872 -5.8468 -1. 797 -1.7428 4.262 4.1927 10 .5580 .6204 -.4298 -.3412 -2.992 -2.993
COMPARISON OF MODAL PARTICIPATION FACTOR BENCH MARK PROBLEM NO. 803 MODE DIRECTION -1 DIRECTION -2 DIRECTION -3 NO. NRC PREPROCESS PIPDYN NRC PREPROCESS PIPDYN NRC PREPROCESS PIPDYN 1 .1599 .135 -2.835 -2.8293 .2883 .27833 2 3.316 -3.3165 .2289 -.207 1.292 -1. 286 3 1.036 1.0286 -.2527 -.2596 -1.394 -1.4044 4 .2459 -.2592 -.692 .7388 -.07006 .06376 5 -2.383 2.3899 1.252 -1.2897 -.8249 .9155 6 -.01575 .0367 3.511 3.53 .004078 .0395 7 -2.655 -2.5997 -.7044 -.7215 -3.106 -3.,1297 8 1.158 1.1957 .5126 .388 -2.393 ' -2 .448 9 -.2599 -.1948 1.438 1.306 .6806 .460 10 -1. 652 1.762 1.1 -1. 049 2.265 -2.3406 11 1.1361 1. 2815 1.374 1.452 -1.822 -1.692
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000053 : 000 10Z 126 1013.196 659.64 /.*~ 000054 ., 000 103 487.056 1013.196 -485.196 000055--**- -- 000 *- 104 179.16 1013.196 -379.188'
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SALEM MUCLEAA GENERATING STATION MO Z UNIT. _ Dl\TE 1Z1779 PAGE 5 OOOQS6 000 BOUNDARY $ 000057 000 1 ANCHOR 000058 000 10 SPECIAL .1+07 0 \1

.1+07 0 0 0 YAUS 9 10 42 **

000059 000060 000 000 20 26 SPECIAL .25+06 .20+01 .25+06 0 0 0 TAUS 20 45 SPecIAL .45+06 .20+07 .4S*o6 0 0 0 . YAXlS 26 48 44 ~ ! 49 I 000061 000 30. YSPAING .zo+o1 t 000062 000063 000064 000 000 000 34 41 SPECIAL 0 SPECIAL .1-o10 "ATE RIAL 1

.Bo*06 0 0 0 0 TAXIS 34 .1+10 .1+10 .1+12 .1*12 .1+12

51. 43

*I 000065 000 0 29900000 .3 di 000066 000 BRANCH 1 1 0 1 oooo6r----ooo*--liuu ,--- ----3o~o<<f o-~-Mo--*-~ocfooa1------

(: 00006a 000069 000 000 ELBOW RUN 3 101 ~5 4 0 0 0 0 SPECIAL 2 3 1:.c 000070 ________ 000-- AUN -,---- 5 -- ----- -- --- )'\~ gggg:~ ggg ::: 5 6 6 7 00001r---ooa*-----11uN-----*7---a-------- ------ * ---**---------*- --*------------- * - --------* -- ---- *- ---- ---* -- --------- * - - - - ----- - - - - - - - - - - - - - - - - - - - - - - - - ---------

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000074 000 RUH 8 9 !*:j "' gggg;~--------ggg---::~--;o- ~~--- .-- -- ----- --------*- --- ---------- !':! 000077 000 ELDOIJ 102 45 0 0 0 0 SPECIAL 11 'i2 ;:*.:1 Q ___ gggg~:----ggg---::~ ----H---a-------------------------- - ------- ---------- - -------- ----------------------- -- ---:::! ~ gggg:~ 000082 -------- ggg ::~ 000 AUN .

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gggg:~ --- 000085 ---- - ~gg ___ :~: ~~ ~~ 000 RUH**-- 19 *--- - 20 ------------ ---------------- ---------------- -------------------------*---------*---*--------------------Liq,, 1 - 111 000086 000 RUN 20 21 ,,., v

~g~gH --- -- ggg :~~ H H ----- -------- - - -- ---- --- - - - J:.'!@

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-- 000091-~--"--ooo 000 ---*-- RUN 24 -G--*

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nuti .. -**25 25 ------------ * ------**-------*---------------- ---*-** ------ * *-~------ ** __ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 1',*.:,;1*. 1 000092 000 RUN 26 27 : *;: ii> 000093, 000 RUN 27 28 ____ __ _ __ _ _________________ ---------- ____ _ ______ _ j:*i 000094 -- -- --- 000 . RUN . - za 29 H 000095 000 RUN 29 30 0G

'.)~gg:; _____ ~gg---:~: --- ~~ ----~~---------------------------------- -------- -- __ . ___ , _ _ _ , _, ___________, _____, __ --------"-------------------------------------------!,,J 1 1 '.:098 ' 000 RUN 32 33 1 Q . *C1Qn9 000 RUN 33 -.4 !,;;: ;;~~!g~ g~~ :~:ou 3 "to3 35 150 0 0 0 a !iPEUAL 35 36 ...... - --- -- - -- -- l::1, nr;Q102 gg~~~!

000105 000

~gg 000 RUN

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ELBOY

- 36 3 ~8 -- ~~ ~04 37 45

_____________ . _________ -------------- ___ ---------------- --- ------- ___________ j:*:1 i::::1 fJ Q 000106 000 AUN 0 41 *1,.*i 000107 000 !CUH 10 42 1.'..! f-000108 000 !lUW 20 44 _____ . ____ . i.: 00Q1Q9 000 RUN 20 45 000110 000 RUN 26 48 '". c

""" Dl!N 76

)i sALEA NUCLEAR GENERATING STATION NO 2 UNIT DATE 121779 PAGE 6 I.

,*

000113 000 RUN 43 51

" 000114 000 FREQUENCY 0 5 1000 ,! 000115 000 NRC BENCHl'IARK PROB. NO. 323A ';,i ** 1 000116 000117 000 OOo 3DOF 4 5 6 7 9 11 12 13 15 17 19 21 23 25 27 3DOF 29 31 33 35 36 37 38 i 00011a**----- ooo*--- MAsS-- 4 1 . 9.925 4 z ---if:.925

4 3 9.92 5

J' i 000119 000 MASS 5. 1 5.453 5 2 5.453 5 3 5.453

. !*.: 000120 000 MASS 6 1 4 .888 6 2 4 .888 6 3 4e888

.} H i"i 000121. 000122 000 000 MASS HASS 7 9 1 1 5.888 5.373 7 9 2 2 5 .888 5.373 7 9 3 3 5.888 5.373

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o. 1 1:r 000123 000 i'IASS gggu~------~gg---:::~----~r---~

11 1 3.95 11

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2 3.95

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11 1132 3 33

. 3 ** 9 5 -...... --...... ____.. ______________................. --*--* - -* ______ ... _...........

2 43 3.941 i, ;

iJ. gggg~----- ggg- ::n g --- -~ ~::g:~ ---g ~ ~::~:~ ~~ ~ - t~g~~ -** -* . . . . . . . . . . . :,; ~" 000128 000 MASS 19 1 7.612 19 2 7.612 19 3 7.612 hf

.-~ggu~ _ggg--:::~--~~-~---~::}~ ------H------1--------~!:n ----~~ ~ --------~::~~---------*---------------------~----------------t,'i

~ 1 000131 ooo russ 2s 1 7.611 25 2 1.611 25 3 7.611 * !.. ~ ..... ~!-------}

1:.:--ggg~i~------ggg ___ ::-:~------~~----~-----;::n---- ***-~:!~~- ~~ -~-- -;::~~ ------**- ------------ ------ ---*-- ------------- V::

~ f,., 000134 000 "ASS 31 1 7.~11 31 2 7.611 31 3 7.611 1.:*:! * .i;;-*gggHf-.-.-*iii--::H--~:-~ ----,-~:H:*-------::-----!-------,~:i~i - -~! *---~-- --,~:Hi-----------------* ------------r.! ~

j.., 000138. 000 "ASS 37 1 3.877 .37 2 3 .. 677 37 3 3.677 __ ... .. ... _ --*** **-**--- .. - !"i

.; J*:f * ~881!~------- .ggg *-- :~:~;;~~38-No r 1~~~~:~~;~~~- 38 No** 2~ 1 1oi~!~ 4 38 3 10.s2a /::! G 1 !,,, 000141 000 AU. "ODES NO LEFTOUT PIASS - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - .. --------- __ "*:

"j**-000142~--- 000----s.;.cmwi: 1---~0001 .14 ;121,9~20999---~ffi-- 1~6f98i-- .899 **-1:67'987 H i1 !..I 000143 000 S-CURVE 1 .9 .3499 2.0 .. 07 ;*:: f_

,J 000144 000 S-CU!IVE 2 a0001 .19 e21 .19 .21 3.0797 .64! 3.0797 .64 __ .37 _ ..... - .. .. .._. ;"i ,,: 000145_____ 000 S-CURVE 2.0 - .~8 I h' 000146 000 FACTOR 1 1 Oe :" ~ .t1.1 -~--

11* . .

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i,,.1 00010---- 000147 ooo--*,;inoR 000 FACTOR____ 32 ..... 0,. --o* 1 ______________.. ________ . _________________ __ __ ------------ -*------------------*----------- _ ... *-- - Ii 1.*,

)J 000149 000 DIRECTION 1 0 0 ,*,:@ . :,.[ 000150 .. 000 X- EARTHQUAKE i 1*** >i- 000151... 000 D:IRECTIOH 0 f 0 i' ! ,,i 000152 000 y- EARTHQUAKE i*:;C ' 000153 000 DIRECTION 0 0 1 000154----000*-z.:. EARTHQiJAKE- -----------------------------.__ ..____________________...... _, ___________ ,, _____________ .. _________ .. _________________,.__________ ,, ______.. _,,_ .......-------- ---- ..... J:.'

I 000155 000 DIRECTION 1 1 1 \'. '.'Gil 000156 000 EARTHQUAKE IN X-Y-Z DIRECTION -- - ... -i*"i DOO'i57 .. 000 .. RMS 1 2 3 4 'J:;*1!Q 000158 000 END Of JOB

------ -*-- ------- -~--------***------ -- ---- -* ________ .. _ --- ----*--*----*---*-------------- - -**--*--------- ------- *--- ------- ----------- ***------(~.::

H~ 1,,, ..... iADD,P EE-DEPJ-LIB*1DD12.1~01207 L.1

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END EU.* /11!~

11*

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.~ i SALE" NUCLEAR GeNeRATzNG STATION NO 2 UNIT NRC BENCHMARK PROB. NO. 323A THE FRANKLIN INSTITUTE RESEARCH LABOR~TORIES l~oIMENSxONAt STRUCTUnEs COMPUTER PROGRAM DATE 121779 PAGE 16 ~NALYZED BV PlPDVN II PROGRAM DEVELOPED BY FlRL PHILA,PA BENCHMARK.PROBLEM IJ23A

,.

TYPE Of ANALYSIS : INFLUENCE COEFFICIENTS FOR ELEMENTS IN PIPE fORRAT 1**. !

~111; TOTllL NUMBER OF ELEMENTS ---~~=---------~-----~-------*-

. I I 51 H--------------------- --

1.. *

+- -- * ---*---*--*--**--*----

TOTAL TOTAL NUMBER OF STRUCTURAL JOINTS .--------~-'.'"---------~~ . _ 52 ____________ _ NUl'IOE!l OF fICTICIOUS REFEAENCE JOINTS --------------- 4 '~iii li TOTAL NUMBEll OF LOADS FOR GENERATION OF DVNA~IC OOF ------- 66

!' ! TOTAL NUMBER OF MECHANICAL LOADS ------------------~------ 0 TOTAL NUJ1BER OF TUERNAL LOADS ----------------------------- 0

, ! TOTAL NUl'IBER OF NON-DYNA~IC LOADS ------------------------- 0 I*" TOTAL NUMBER OF AUlULIARY ORIENTllTIO:V _MATRICES_----------":'~- 3 __________________________________ .... - ...

j, .r-- ------------ --------- ----------------- ------------ TOTAL l\lUr.tBER . 0 F 1,. AUXILIARY COORDJNATE SYSTEMS -------------- 0

~ I ,,i TOTAL NUMBER Of CONSTRAINED BOU~DARY JOINTS --------------- 7 i *j TOTAL NUl'1BER OF NON-DIAGONAL ELASTIC FOUNDATIONS ---------~- 0 \*.( ---- -- - --- TOTAL-NUl'IBER OF JOINVS ~ITH NON-ZERO I~POSED DISPLACE~ENT - 0 ;'"l ij Tj>TAL NUMBER OF CROSS-SECTION TVPES ----------------------- 2 TOTllL NUMBER Of ~ATE I'! !Al S ---~--------------------------~__________ 1 _______ ---------*--------------..------------ .--* !'"I. ,-------~---*--------------------------------.-TOTAL NUMBER OF ,i ...

PIPE PRESSURES --------------------------- 0

~ !~ TOTAL NUMBER OF GRAVITATIONAL VECTORS ------------------- 0 1*! ..~ \ :*:; . (,,,1 i j** ----------------------- **--*-------*-- ------- ----*----* -----* - -- -*-*---- - ------ -- ------------- ---------- -*- ¥} !'.r.;

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SALEM NUCLEAR GENERATING STATION NO 2 UNIT DATE 121779 PAGE JOINT COORDINATES JN GtOBAL SYSTEn NO. X1 UN> ll2CIN) X3 UN> 1 126.000000 483.995998 705.839996 2 126.QOOOOO 483.995998 704.639999 3 4 5 126.000000 126.000000 126.000000 528.996002 567.996002 651.996002 659.639999 659.639999 659.639999 6 7 126.000000 126.000000 735.996002 802.996002

. -- --- 126~000000 -----869.195999 659.639999 659.639999 659.639999 9

10 11 - 126.000000 126.000000 126.000000 917.195999 965.195999

*- 968.195999 -- -

659.639999 659.639999 659~639999

*1 12 169.860001 1013.195999 649.559998 ,,I 13 173 .927999 1013 .195999 648 .624001 .1--- ---*14- -----229 .836000*----1013 .195999 ______ 630 .996002 -------- - -*

I 15 283.992001 1013.195999 608.556000

' 16 335.987999 1013.195999 581.484001 -- - - -

17 * - - 385 .42800~ -- 1013.195999 550 0080002 .**,, l 18 431.939999 1013.195999 514.391998

.\ - ---

*~ --~~

19 475.164001 1013.195999

~~~-:r:~~~r-----~g~ ~: ~:~::: ----*- ;" 474.779999 ~~ ~ :~:~~~~--- ------- - - - - - - - ---- - - *--- - ---- . - -----------------------------------------

1 1 I 22 ss1.963997 1013.195999 335.601,000

**11: -* 23 -- 609.036003 --1013.195999 283.608002 j..*: 24 631.473999 1013.195999 229.452000

,..: 25 61t9 .103996 1013 .195999

~.r---~;-----::~:!::gg~-----~g~i:~:~:::----- --,:::~~:ggg 173 .544001 ____ -- ------ --- ----- - --- ---*-------- ------*------ -----~---- ------ ----------- ---- -- -- - ----------- -- - ---- - *****

. 1,.

.I 2s 612.000000 .1013.195999 -.396000

,: -* 29 . -- 669.444000 -- 1013.195999 -5ii.968000 30 661.788002 1013.195999 -117.096000 I.

; 31 649.103996 ,013 .195999 -174 .336000 **--------- ---* ---- --- *--*-*-----*- - - -- - ------ -------------------------------- ------ ---- --------. -- -*:.,_1 1 -- -- 1z-----611~47599s**-*1011~195999----*-;..210.243999

'J 33 609.036003 1013.195999 -284.400002 l.l 34 581.963997 1013.195999 -336.396000 1,,/ 35 550e.596001 .1013.195999 -385.571999 1 1

,.1 36 375.312000 1013.195999 -446.736000 . ' .. :. ,.l -----*--*-------* ----------** ------- ----------------------*----*-------------------*i.:;:

q----!~--~~!:~:zggg-- '~!~=~~~::~ --=~~~=~::gg~ ------------ ------- --- --* 37 345 .576000 1013 .195999 -436 .sooooo 1.:'.;I G L.1 42 121.000000 965.195999 659.639999 ---*--*----------*---- -- --- - - !:'.':I

,,:-- -- 43 *- 582.223000 - "1014.195999 -337.362000

:~ ~~~=~~:~g~

--::----:n:~::ggr*--- ~g~~=~:~::: ~g~!:~:~::: --- -:~~=~~:ggg ~~;:~g!ggr ----- ---------- - --- *-- ---------* * -- - - --*-------- -------------------------- *______________fl* :::1

1' 51 582 .221000 1013 .195999 -337 .362000 - - - - -1:-~,

- 101 *-- *-- 126.000000 497.176189 672.820198 102 138.845329 1000.015800 656.687851 .~lt *

.. r-- 103 473.560371

*----101, - - ---191.6218&0 -

1013.195999

--1000.01s800 -446.526550___________ -303.479752 -- ---- -----. -----------------*------------*------ -* - ---- *-- *- -----!,:H *! 105 221.707520 1013.195999 -393.840939 i**j*

106 179.160000 ~68.195999 -379.188000 :'

. 120 126.000000 528.995987 704.639999

I\ SALEM NUCLEAR GENERATING STATION NO 2 UNIT DATE 121779 PAGE 20

.CROSS SECTIONAL PROPERTIES XsEC ELM. H/OD Y/TH AREA 11 12 J3 X1 Y1 X2 T2 X3 Tl X4 CODE TYPE <IN> <IN) CIN**2) (IN**4> ( IN**4) (INH4) Slf1 SF2 UN> UN> (IN) CIN) UN> UN> UN> '"

CIN>

-1 s .850

7784+02 .8275*04- .;655+05 ~8275*04 z.o 2.0 15 .o 0 .oo .oo -15.00 c

30.000 *00 15.00 -15.00 .oo 2 30.000 e85o

778 4*02 *8275*04 *8275*04 .1655*05 2.0 2.0 15 .oo .oo .oo 15.00 -15.00 .oo *00 -15.oo MATERIAL PROPERTIES

-- ---- . TYPE tEMPERAfUREO) POISSON .. S -RATIO COEf. Of THER"Al EXPANSION(/f) SI" (PSI) 1 .oo 29900000.00 .300000 .000000000 .oo :**:

I >1

. 1* - --- -. ---------- -----. ------ *------*** ------- --* , 'ti ; I

.. e 1 ...

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-------9iliil~""'

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I SALER NUCLEAR GENERATIN6 STATION NO 2 UrHT ** BOUNDARY CoNt!TiON MATRICES DATE 121779 PAGE .22. I.

,. t . l NO. JOINT CODE ec-1 BC-2 BC-4 BC-5 BC-6 i*; (

I' 1 1 0 .10000000*01 .10000000+01 ___________ .. 10000000+01

- -- *2--:-1 o**---- * ,--*--*------~ 10000000+01*-* *- ------ ;00000000 .10000000+01

____ ,.10000000~01 ______ ,.10000000+01 __________ .* 10000000+01 ----. ii I

i .. 00000000 .00000000 .00000000 j :.: , I

': *! 3 20 1 025000000*06

20000000*07 .25 000000*06 *00000000 .00000000 000000000 111 4 26 2 .45000000*06 .20000000+07 .45000000+06 -- .00000000 - - - .* 00000000 .00000000

;,,.! 5 30 0 .00000000

20000000+07 .00000000 .00000000 .00000000 .* 00000000

., I I' I'

~ !::1 6 34 3 .00000000

___ __7___ ~~---~-------~ 10000000*10

.aooooooo+06 .10000000*10 .00000000 ~10000000+10 .00000000 .00000000 .00000000 . -*--*-* !'10000000+12 _________ .10000000*1 z *-*-------*10000000*12 !:. (

I**. ]*.

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1, ,i .. ---------**--*- ---*------ ------ -- --***----- ---- - .. !!"*l:, I I f) :"l ,.* c I i**1! 4.

-----*-*------------------------------------------- ------ -- : I ': *I \'

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sALEA NUCLEAR GENERATING STATION NO 2 UNIT

., *e* ., -*... ,.,....,,..,.'&'..... \

Elfl .... NO. ENi> 1 END 2 JOINTS *** REf flAT

ELl'I

PIPE PRES slf CODE TY.PE CODE TYPE CODE LEG BRAN XSEC NO. NOe CODE

. tENGTll OR ANGLE UNIT WT.

LB IIN DATE 121779 PAGE JO 1 1 2 1001 1 1 1 1 0 1 1 1 1.20000 .00000 1.000000 .000000 .000000

.000000 .000000 1.000000

.,. .000000~~*000000 .000000 2 2 3 120 1 2 1 1 0 1 1 2 .78540 .00000 RAD,. 45.0000 .000000 1.000000 .000000 FLX:r 9.1637 -1.000000 .000000 .000000

~ I l*;

ECC= .oooo 0000000 .000000 1.000000 I: 1'!

. -------3* - - - --~ - -,~(I r- 2 1 1 -- --ij 1 1 2 .78540 .00000 RAD= . 45.0000 .000000 .707107 .707107 j :,.! ' fl~* 9.1637 -1.000000 .000000 .000000 :: . f I'.' . ***- -***-***--- *-----** *------** _______ .. ECC* _____ .0000 ..* 000000 -.707107 .

707107 i**

1 ::*i 4 4 5 1001 1 1 1 1 o 1 1 1 n.00000 .00000 1.000000 .000000 .000000 . i**

.. [____________________________________________________________________ - -**----------------------------------*000000"."~ .000000 __ .000000 ---- -1:*:

l> i'.::! .000000 .000000-1.000000 !:: f

,.,.1 s s 6 1001 1 1 1 . 1 _____ o ____ t 1 1 u.00000 .00000 1.000000 .

000000 ..* 0 00 000 1*:;,

*.* ----------* ------- -- .000000-1.oonooo .000000 1~;:: . -* . .000000* .000000-1.000000 kl.

1J ---,--0------,--, 00-,--,-----* 1------,- -----,----0--*---,---*-*;r---., ----ar:*oo1foo--*-----~oooo-------*---------,:~-ggg~-g= :ggg~~g---:g-ggggg--T.'.! , 1 "l ... ----- . - - _.000000 1 .000000-1.000000 - !:'.'[

':;:! 7 1 8 1001 1 1 1 1 0 ' 1 1 67.00000 .00000 1.000000 ~ .000000 .000000. 1:::: ~

.000000_, .000000 ____ .000000 ---~ -- , .

i;.1- ! * - - - - - - - - - - - * * * - * - -*------------ - - - - - - - - * - * * * - - * - - -.-*-----**-*-- ------- ---**------ -*--------* -------------*--**-***----- -

-~----------------- - - .000000 .000000-1.000000 1:::. ;. i:!

H a s 9 1001 1 1 1 1 o 1 1 1 66 .20000 .00000 1.000000 .

000000 .* 000000 ::*,

1 hi .000000-1.000000 .000000 1!:*.:.

* !*i .. 000000 *000000-1.000000 **I j,.,; . I - ------9*--_,,------- 1(1"---1001-- --,----,-- ----,- 1 ..... if --*--- -- . --- ------*--- - .... - ... .. -----*-----*1 '

1.000000 .000000 .000000 0

*!.1 .000000-1.000000 .000000 I~~ f \ t .000000 ....* 000000-1.000000 ,*::

f*'

; l:'.'i 10 10 11 1001 1 1 1 1 0 1 1 1 40 .00000 .00000 1.000000 .000000 .000000 ('.:

i:*:!r--*---_------------------------------------- --~----- --------- - ---------------- -------------------- - - ------------------------------------------ ---- --:gg~ggg~.1 :~ggggg~-1 :gggggg ----* i.:.:::; *

*' IP 1,.: 11 11 12 1001 1 1 1 1 0 1 1 1 l ~00000 !'00000 ... 1.000000 .000000 .

000000 - i***i I .000000-1.000000 .000000 p~

.000000 .000000-1.000000 ~* . .. -- ~H 1 --- -~00000*---RAD.;---45~'0000 _____ .974593 .000000 -.223983 *****11 fLX:is 9.1637 .223983 .000000 .974593 :'..'.,@

ECC:s ...* 0000. .000000~1.000000 .000000 ____ J"l I 13 15 '*'..'.ic 121 1 2 l

*,I 1 1 0 1 1 2 e78547 .00000 RAO:iz 45.0000 .689141 -.707107 -.158380 *'I FLX::ir 9.1637 .* 223983 -.000000 .* 974593 __ _ --(l ECC= .oooo -.689141 -.707107 .158380 1*:@

ELM *** SALE" NUCLEAR GENERATING STATION NO 2 UNIT NO. END 1 END 2 JOINTS *** MAT* ELM. PIPE PRES sIF REf CODE TYPE CODE TYPE CODE LEG BRAN XSEC NO. NO. CODE U:N6TH OR ANGLE UIUT 1n.* LB/IN DATE 121779 ORIENTATION MATRIX (l,J')_. e.* 31 15 16 1001 1 1 1 1 0 1 1 1 4.17429 .00000 .224229 .000000 .974536

"L--. **- -.974536 .000000 .224229 1'

.000000-1.000000 .000000

~

15 16 17 1001 1 1 1 1 0 1 1 1 58.62125 .00000 _.300710 .000000 .953716

-.953716 .000000 .300710 .000000-1.000000 .000000 1 * --- *o*-----,---- ---,- * -* 1 58.62104 .00000 .382798 .000000 .923832 -.923832 .000000 .382798 .000000-1.000000 .000000 'I.

17 18 19 1001 1

,, 0 I

1 1 1 0 1 1 1 58 n62147 .00000 .461810 .000000 .886979

-------- .... ------~*886979 ___ .000000 ... 461810 '*'11 "1------------ ------**-*-***-*----.--------- ---*-** -------- -* -** --*--- *-**--* *-**--- ------------*** ----*--* *- !**1!

I I .000000-1.000000 .000000

*,1 18 19 20 1001 1 1 1 1 1 . 1 58 .. 57068 .00000 .536173 .000000 .844108 **: -.844108 .000000 .536173 "": .000000-1.000000 .000000 1111 *

00000 ______.. ______._ _ _.60-8741---:oo-tHi()o -*:*793369 **--- r~:

- .. 793369 .000000 .608741 * *::.fl 'I ! - - -- . -- .. ... ...* 000000-1.000000 .* o00000 i,'

20 J, ... 1!11 21 22 1001 1 1 1 1 0 1 1 1 SB.62956 .00000 .675632 .000000 .737239 !**:W

------------------~*737239 ..,_ .000000 ..... 675632 ii* ***-*I' .000000-1.000000 .000000 :11 21 22 23 1001 1 1 1 0 1 1 1 50.62955. ...* 00000 ,131z39_ .000000 .675632 -.675632 .000000 .737239 .000000-1.000000 .000000

;, 9 11*'

-- -u--*---2r---24--*1001*---- .., --- -- - -* 1- -- ---,- -- ,1- - - -- *r* ----1 -- --s-s~6259:f-- * * .00000 -:~~~~:~

gg~ggg :~g~~!~

- - - - - - 11.; .000000-1.000000 .000000 . ;..,:

23 24 27 1001 1 1 1 1 0 1 1 1 58.62221 .. 00000 .843366 .000000 .537339 t:*;;e

!*r------------ .. *----.. *-----~------- **------------------***---- ----------------- *-***-**- -*---*----- - -.---*--- ------*---- __________ -.537339 - _.000000 - .* 843366

, ;) .000000-1.000000 .000000 24 27 28 1001 1 1 1 1 D 1 1 1 58.62148 aOOOOO .886979 .000000 ,461810

-.461810 .000000 .886979 .000000-1.000000 .000000 ----- 25----- 28 --- - 29 1001 . - 1 .. , ... -.1 . --~00000 .923844 .000000 - .382769 ______ :_ H I' -.382769 ~000000 .923844 . l:,"i G .000000~1.000000 .000000 '..d !.-.l 26 29 30 1001 1 1 1 1 0 1 1 1 58.62185 .00000 .953706 .000000 .300741 -.300741 .000000 .9 53706 . .000000-1.000000 .000000

---*---*---~ ....

ELN *u SALEN NUCLEAR GENERATING STATION NO 2 UNIT NO. END 1 END 2 JOINTS .,,.., PIAT. ELM. PIPE PRES sIF REF CODE TYPE CODE TYPE CODE LE6 BAAN. XSEC NO. NO. cooe

LENGTH OR ANGLE UPdl T WT.

LB /IN DATE 121779 . . _PA6E 9. ORIENTATION MATRIX CltJ') 32 27 30 31 1001 1 1 1 1 0 1 1 1 58-62851 .00000 .976317 .000000 .216345

-.216345 .000000 .976317 .000000-1.000000 .000000 28 31 32 1001 1 1 1 1 0 1 1 1 58.63001 .00000 .991438 .000000 .130582 r***i -.130582 ~000000 .991438 ~ !t1* /: !

000000-1~000000 .000000

1**'. *---z9--32--- *:s-5*-- 1001' -----, - -1 . - 1 1 0 f 1 - -- 58 .62774 .DODOO .999049 .000000 .043597

,*,~ :1. -.043597 .000000 .999049

.000000-1.000000 .000000 Ii) Ci 30 35 36 1001 1 1 1 1 0 1 1 1 58.62774 .00000 .999049 .000000 -.043597 H---- .. ------*-**----------------------*043597 --- .000000 __ .999049 .

000000-1.000000 .000000 1 1'"1 31 31 1001 1 1 1 1 1 58.63001 .00000 --- -* - - *- .991438

1;*:1 !*;*1 36 1 .. - --- t_ __ , -- [J_ .130582 .*.. 000000.

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AAIIHUH ELEMENT LENGTH OCCURS JN ELE~ENT 38 AND EQUALS

----------- MJNIHU~ ELEHENT LENGTH OCCURS lH ELEHENT 44 AND EQUALS .. 10010*03 INCHES ~24002-01 INCllES ------- ------- -- ;~:i MAXIMUM ELEHENT ~INIHUH ELEAENT STlffNESS STIFFNESS OccURS OCCURS JN ELEMENT IN ELEHENT .

44 AND EQUALS 38 ANO EQUALS

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SALEM NUCLEAR GENERATING STATJON NO 2 UNIT NRC BENCHRARK PROB. NO. 323A BENCHAARKoPR08LEM *323A AUTOMATIC NUHBERJNG fOR STRUCTURAL JOINTS JS REQUIRED IN THIS JOB ANALYZED BY P!PDYN II DATE 121779 PROGRA~ DEVELOPED BY fIRL PHILA.PA PAGE 25

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"ODAL EFFECTIVE RASS MOllE - , -*--iifREi:tioN *r-* iliRECTJON--2 ---* - **-*

DIRECTION 3 NOo EFFECTIVE HASS (ACCUM I) EFFECTIVE MASS CACCU~ I) EFFECTIVE MASS (ACCUM I) FREQUENCY (CPS) 1 .397549*00 ( .26%) .366097*02 ( 25.72%) .186160-01 ( .011> .628716*01

;., z .334759*02 ( 22.56%) .417278-01 ( 25.751) .915037*01 ( 6.11%> .990649*01 -~:; 3 .296438*00 C 22*761> .99116H01 C 32.71U .368918*01 C 8.57%> .132889*02 .: 4 .396696+01 C 25.40U 0 928988-02 C 32.72X> .129680+02 C 17.22:0 ___ .. ______ .145113*02 ____ .... _________ _ ,,J --s ---------- ~109036*02' '( 32~66U --- .118224-02 T 32. 721> .544089*02 c 53 .sou *153324*02 *.i) :: ! 6 .231382*02 ( 48.071> .886317*01 ( 38.94:0 .882877*01 ( 59.391) .175073*02 '**[ 1 *140415*02 ( 57.42%> .* 660028-02 ( 38 .. ~51) .129185*02 - ( 68.011> .190808*02 I. .: --ir---- .216581+01 c 58.86U .272910*00 < 39.10:> .. so0158*00 ' 68.34U .202301+02 lilt 1.,~- 9 .341851+02 ( 81.631) .303742*01 ( 41.27:0 *175792+02 ( 80.061> ~211.306+02 "_' 10 .384907-ooo ___c_81.881> ___________ ! 116469+00 _ <. 41 ~36%> .895832+01 c. 86 .o41L_____.286125+02 __________________________________ _ /"' ----,1~------;242316*-01 I 81.~0U .465160+02 C 74.03%> *-* ~753465+00 -, 86.541> .299441+02 ' ~ ""1 12 o11o50J-001 c 8Zo63U .1'11979*01 c 74.821> 0206750+01 c 87o92U o315073.to2 * *;.I

I *-- - -- ~!---------

1s

!:~~~~:g~ : :~:~~~~ --*-*- :~~;~~~~g~ ~ *~!:::;~

0108955*02 c 94.55u .54os1s+oo ' 75o34U

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93.94x> .401111*02 i"'

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16 .151031+00 C 94o65:U * .187867+00 C 75048%>

*1*---17-------;u-0356*01--c95 o6SU * - -*--- 0*11oa32+00-c 75~601> * - ------- -* ~213112~01 c .781361-01 C 93.991> ______ *. 418142-tOZ_

95 o41U .489136*02) ------------------1.,, i:*i

~ ., 15 .857863-01 ( 95.71U .998742+00 C 76 030%> *133348+01 ( 96030%> .528374+02~ \'.';

h H .246028*00 ( 95.871> .620520+01 C 80o66X> .. 114856+00 C 96 0 38%> __ ~----.--564918-tOZ __:___ '* . I:* *----.-- 20----------.323587*00 ( 96.09U .102581+01"<.81.36U 0360582-03 ( 96o38U 0585505+02 1:. : ti 1 i 21 0278697*00 << 96o27U .182835+02 ( 94.221> 0833102-02 c 96.391) .590085:02 !,.'.' I"': zz .4624 n-ooo c 96o5au .50520+00 __ <__ 94~58u -~- _____ .11u92+01 _c_ 97.55%> ________ .675631 oz __.________ .. --*-----*---*-*---, .

,.,,-------23-------~590125*00 ( 96o971J _______ ~192749+00 c 94.711> "-Z. ..177872-01 c 97.56X> .707180+02 ;:_:

II' 1,.. 24 0680387-02 ( 96.981> .200839*00 c 94.851> - 0603348-02 ( 97057%) . 0721494*02 i,., H 25 e665Z24+00 C 97o42U 0184787+00 ( 94.98%). _0109009+00 ( 97.641> .. ______ ; 0759953+02 __ __ __ _ _ i:.'i f"[ - ------ 26 - - -*.;.161934-01 ( 97.47%)" .691111+00 c 95o47U .883850+00 c 98.231> .801355*02 :,.; Q H 27 o420366*0Q ( 97.75%) 0367249-01 ( 95049%) .155976+00 ( 98a33U *814009!02 i,

1.,1 28 .. 301014-01 c 97o77:U 0569507*00 c 95.B9U _______ .134308+01 c 99o23U _________.87355o oz ____________________________________________ ,,

. 1"1*-----11r----------;;1575Q6-01 C97o78:U*-----------**o326421-01-C 95.92%> .341135-01 -, 99o25U .990390-t02 '":* ~ h 30 .139065-01 C 97.79U *783336-tOO C 96047:0 .803062-02 C 99.25U 0100972+03 .,:

1,,I u --.. -*- 31 32 ____ -

.302111-02 C 97.79%)

0167658-02 ( 97.79%)

.721890-01 C 96o52U 0136361+00 ( 96061%) .141020+00 C 0520585-02 (

99.35%> 99.35%)..

.106681+03 0115798+03 i:: I ~ i11! 33 .348800-02 ( 97.80%) .313621*00 ( 96.83:0 .111058-02 ( 990351> .116370+03 : '

J,f 34 .312061-03 C 97.sOX> .270344-01 C 96.851> __ 0130696-01 _< _99.361> _________ <!122998+03 --------------*-.. *---- ----*-----*-*- --*---- ;***:. i,r-----~s* .1944730.o:s*-r-91.eou------*---~.,20661.;.02-r 96.a6i>-*-**------* - .136283-01 c 99.HU .124811+03 :.:;

~ 1:,1 36 .817506-03 C 97o80U .519078+00 C 97.221> .349978-tOO C 99.60U _.129849*03 :****: (

i,.. 37 .. 199523-02 C 97.801> .455619-01 C 97o26U .448831-01 C 99.63U ___ __ 0139322+03 __ -*- . ______ "* j...i ---- -- 3a-- *-- - - *- :.166659-01 C 97081%> .870999-01-( 97o32U .101986-01-C 99.641> .153242+03 h 11 i,,I 39

0109369-01 C 97,.821> 0222511-02 C 97.32U 0870556-01 C 99.70%> 0192615+03 '.:::I

,,.1 40 08503'..8-02 c 91.821> .5sso16-02, 97.321> __________ .113569-oz_c 99.1ou _________ o19991o*o:s *---*------**------- ___________ : ____ .H 1 ,.r--~---41**--------~8819350.02-C97o83U -------*----.200406-01 -C97.34U 0135254-01 C 99.71X> .247241+03 !.~._:_: , C 1

4Z .808952-02 C 97.83%> 0300273-01 ( 97o3oU 0869267-02 C 99o72X> .276116t03

.,, 43 0228171-06 C 97*831> .338853-02 C 97o36U 0227276-02 C 99.721> 0317572+03 '*'

./ *-------- .415590+00 ( 98.111> 0 506220*00 C 97.71%> *441357-01 C 99.75%> 0327573+03 ;*.. :

i ! ,I 45 .102386-03 c 98.111> 0265837-02 c 91.12u .140642-03 ( 99.15:0 0312954+03 1 .. *

i 46 0314774-04 c 9a.11u 0843069-03 < 97.721> 0743360-05 c 99.75%) .421379*03 __________ **- __ Jr

l

!*:::1. -* 47 48 *119083-04 ( 98.111) .266505-04 < 98 011%> --- 0613285-03 c 97.722:>

0443349-03 C 97o72X>

.593079-03 ( .139884-03 <

99.751) 99.75%>

.440977*03 .472803*03 ;:~* c 49 0924966-06 ( 98.11X> .127355-03 ( 97.72:0 .115091-04 ( 99.75:0 0496108+03 50 .150915*00 ( 98.21%) .947416-01 ( 97.78%) .303162-01 . 99.77%) .887358+04

e** i_ SALEM NUCLEAP GENERATING STATION NO *2--UNIT DATE 122179 PAGE 4 O'ELT,SIL DATA ELT0T7 RLIA70 12121-18:10:4~-<,n> 000J01 000 START A31.1 NO PRODUCTION NO TAPE C00002 000 NRC BENCH MARK PROULEM #003 G"JOQ03 000 GEO~ETRY. G00004 ono LINE NO 12-RC-29-1304 & 14AH-1-302 Gn0005 GOO COORDINATE INCHFS 1* 000006 0(10 1 0.0 G.O . 0*0 000007 000 2 18.63685 0 -4.36635 000008 000 3 23,42714 0 -4.92 coooo9 *ono 4

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1. 4 J6 3 DATE 122179 PAGF e**

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NUCLEAq GENERATING STATION NO 2 UNIT THE FRAN~LIN INSTITUTE RESEARCH LABORATORIES 3-DIMENSIONAL STRUCTURES COMPUTER PROGRAM DATE 122179 PAGE 15 NR( Bf NCH MARK PROBLEM #PC3 ANALYZED BY PIPDYN II PROGRAM DEVELOPED nv fIRL PHILA,PA LINE NO 12-RC-£9-130,4 & 14AH-1-302 TYPE OF ANALYSIS : INFLUFNCE COEFFICIE~TS FOR ELEMENTS IN PIPE FORMAT TOTAL NUMBER Of ELEMENTS ----------------------------------

TOTAL NUMBER Of STRUCTURA[ ___ JOINTS

TOTAL NUMBER OF FlCTICIOUS REFERENCE JOINTS ---------------

0 48

*----49

10 TOTAL NUMBER OF LOADS FOR GENERATION OF DYNAMIC DOF ------- 42 ! 4 TOTAL NUMBER ~f-MECHANICA[ LOADS ~------------------------- - 0 TOTAL NUMBER OF THERMAL LOADS----------------------------- a !-!. c

_____________________ TOTAL___ NUMBER __ oF NoN-DYNAMI c LOADS ------------------------- IOTll.l NUMBER Of"llUXITTARY---ORIENTP.TION '"l'lATR"IC!!S-~--------------3------------------------------------------** I o I TOTAL NUMBER OF AUXILIARY COORDINATE SYSTEMS -------------- 0 1~-

---~g~:~-~~~~ ~:--g~-~g~:~~ :~~~~t ~~~~~~~- :g~~~ !T ;~;;::::::::::: ____ ri- **---------- ---- -- -------- * ---- _____________________j 8

TOTAL NUMBER OF JOINTS WITH NON-ZERO IMPOSED DISPLACEMENT - TOT/l,L NUMBER OF CROSS-SECTION TYPES ----------------------- 0 6 I) *1 C

'.IC

---**- ----------*--*- *-*-*---------.*o TAL-WUMB EFrOr-MA"TFFtt*A L-s----------------wwww -----------------3*----------------- --1 *1 TOTAL NUMBER OF PIPE PRESSURES ---------------------------- 1 1::1.

TOTAL NUMBER Of GRAVITATIONAL VECTORS--------------------- 0 :IC

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21 349.865528 -18.264000 -173.856001 2 Z ----3 TO* 8 8 3999----*18 ;2 64 000---- --1 n-. fr5 6 O O ' f * * - - - - - - - - ----------------------*----- 23 370.883999 30.696000 -173.856001

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- ------0 ,t,-TE -122179 ANALYZED BY PIPDYN II PROGR,t,M DEVELOPED BY FIRL PHILA,PA 24 lo I

ii AUTOMATIC NUMBERING FOR STRUCTURAL JOINTS IS REQUIRED IN THIS JOB I!

,*.G *** TOTAL STRUCTURAL JOINT NBC= 49

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ELM **" SALE!'! NUC-LE"llR GE NERATING-STAT10N-~i0-*2 UN IT*-----*--------------*------------ --- - JOINTS *** MAT. ELM.

'"'REF CODE-TYPE PIPE PRES SIF CODE. TYPE -CODE' LEG BRAN XSEC LENGTH 'NO-*-NOe" CODE" ----oR ANGLE UNIT WT. .... Lf1/tN*****-* ---*-----* ** *-!>A-TE: -122179 - --PAGE--** -- --------------

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DATE 122179 PAGE 30 e

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44 2 .37396+01 :; (9 44 3 .37396+01

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*:0 -------,.,oo E""NUMBEl<----1-----------NAT*-rR nai EN-c-r---.-">l!!s--20'!'"8-v-Or--R A-O-t-St e-.-----.--401-194+ 01- ttE RlZ-----. ----PER I OD* - ---. i!492 S6+00- 5 Et----------i" DOF JNT DIR MODE SHAPE DOF JNT DIR MODE SHAPE DOF JNT DIR MODE SHAPE 1 5 .:52897027-05 2 5 2 -.116886:!9-03 3 10 .11032977-02 4 10 2 -.57758477-06 5 10 3 .42437952-03 6 15 1 .27584988-03 ------------ - --15-------z------;112no.,.9-o -s-----ts--- --.19947669-03 9--16--3------.10004511-02--------1 10 17 2 -.14874995-01 11 17 3 .1'816683-02 12 18 3 .14209601-02 :~*-

13 21 1 .13188799-03 14 21 2 -.82891692-02 15 21 3 .14414784-02

---- --- i 6 ----- z5------- 1-------;1r.o:n6-r."1"'04 --------11----2,------- 2-----. 42384049-os -- ------- -* 1a* ----- 25 ----- - --- .44317493-06 --- ---1*

19 32 3 -.33345116-03 20 34 1 .50572190-03 21 34 2 .10817213-02 1 22 34 3 .14006838-02 23 35 2 .65465476-03 24 35 3 -.27437537-03 ,* @>

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I~::,$ MODE NUHBER D0 F . ----- --*-------;------ --n J NT 2 DI R 5------ NAT. FREQUENCY fll 0 DE S H AP E

* :B'l'29"5-80-04 .267066+02 RAD/SEE D0 F 2

J NT DI R

-'j---z----.-'t04'12906-0 .425049+01 HERTZ M0 D E SH APE D0 F PERIOD J NT DI R .235267+00 SEC ---!--40----1---.10817084-01----- --H 0 D ;-;-;;-;-p E J: ..

e 4 10 2 -.18485781-06 5 10 3 -.37514985-02 6 15 1 -.90245547-02 ,, 1 15 2 -.94328244-03 P 1s 3 -.50486733-02 9 16 3 -.49031504-02 .. e

--*- --1;----*-2---... n55 23 85*0 ~ 1 1-1'------y.---.-4 3 5 8 9 2 5 9-02 12--18---- --.l7 44 5 733-Ci2-------I I 13 21 1 -.53986040-02 14 21 2 -.1282542s-03 15 21 3 -.30469735-02 i 16 25 1 -.70326775-03 17 25 2 -.382844Q8-06 18 25 3 -.30651425-05

, ---------------19--::s 2-----3-----;r r11 H to-e o-03--------~e----34---1---- .-15 046770-03-------21--31,--- ----., s 14 68 9 0 - 0 3 - - - -

22 34 3 .85441073-03 23 35 2 .12781562-03 24 35 3 .60500766-03

' 25 39 3 .38829837-03 26 41 1 .166537:36-03 27 41 2 .91531260-04 ,:.1~ z

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1'10DE NUMBER NAT. FREQUENCY .572445+02 RAD/SEC .911075+01 HERTZ PER I.OD

109760+00 SEC *.l c.

i f-\00-E-SH APE------00 f-----J IH----1> I R----MOD E--S HP.PE--------_,,, .*-*** --------------ooF *- - -JNT - on-------*MQ!)-f-SHA:PE-----A-()f---;ltH IHR 1 5 1 -.11983391-04 2 5 2 -.82779628-05 3 10 1 -.44786993-02 .:::" 4 -1 o z----*- - *-. 839 67803-01----------5----1e---3 -~-. 2105 5 01 s-02 ----------6------1 s--- ------.3709 2s 2 2 - - - - - - *: 7 15 2 -.69876607-03 8 15 3 -.44431550-02 9 16 3 -.33505244-02 ::;

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25 1 .496os26s-03

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t ___ -------~~ ----~!--------;______ ::-~~!~~~~~:g~ 29 44 1 *__3_~-~-~~-1_:~~06 ------~-o---~~-----~-- -.8~_80109-04 ;:!' l i ., I
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I1-i NRC BENCH MARK PROBLEM #803 ANALYZED BY PIPDYN II PROGRAM DEVELOPED BY FIRL PHILA,PA NRC BENCHMARK PROBLEM #803 - *- ****--*----*--- .!

------- l'!Onl--PARTitTPA T roN TA"CTOlrs-------- --------- --------------------l *I MODE DIRECTION 1 DIRECTION 2 DIRECTION 3 'i 1

5 3 5 56 5-('2 .... 1122~9.-QO --.110415*01- --------------- ---------------- -----*----------------*- ---- -* ---------- -.. . *---------------------:;I ii9 .,; 2 -.124182+00 -.775238-02 -.481605-01 "'

. 3 .179691-01 -.453364-02 -.245336-01 1:: ,-----4----------....-3()~102-02 *----*------- ;10t.92s-01-----------.9os-o-32-03--------------------------------------

5 6

.223784-01 0324878-03 -.120757-01 0314384-01 .857188-02 .349808-03 1I 7 - -.185065*01------* *.51'3643*02 - --------.zzzr96~01- -----------*- -1 8 .699455-02 .227051-02 -.143206-01 1

9 -.109207-02 .732212-02 .257965-02 ~

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11 12

~ r- .505755-02 H .275437-02 .57:'>035-02 i .141119-02 -----~ ~ ~UE~r- ----~~ ~! ~ ~: =~~ ------~ !~ ~H E~r---- -.667!180-02 -.352557-02 1**

j.:1 16"*------- ---.4zs221-0:3 --.11sa6i-o-?- .31079-'l'--03 ----- '"i

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21 .215582-03 .43<'>340-04 -.172502-03 j. 1*

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28 ----------*-. 4931s1-os---*-- * -.--6;rn2-n-03-------.--1-aa-990-04

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I 29 -.655706 .40<'374-04 -.465692-03 '*I 30 -.212750-04 -.461693-05 -.452425-04 1.:,l ~

31 --

5 0 4 63 7-05 -. 6 4 7 8 84-05-* --- -----.-36 3 31-1-'05------------------- -------------*------- - *----*--- l"'i

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SALEM NUCLEAR GENERATING STATION NO 2 UNIT NRC BENCH MARK PROBLEM #803 NRC BENCHMARK PROBLE~ ff8Q~ DATE 122179 ANALYZED BY PIPDYN II PROGRAM DEVELOPED BY FIRL PHlLA,PA PAGE

40 MODAL EFFECTIVE MASS MOOE DIRECTION 1 DIRECTION 2 DIRECTION 3 NO. EFFF.CTIVE MASS (ACCUM 7.) EFFfCTIVE MASS CACCUM X) EFFECTIVE MASS (ACCUM Xl FREQUENCY (CPS) 1 .182261-01 c .05'T.> .800494+01 -c-20.s1:0--- .774692-01--< .2nx> .401191,+01 2 .109991+02 C 28.727.) .428655-01 C 20.98:t> .165432+01 < 4.52X> .425049+01 : .*I 3 .1058C9+01 c 31.48:0 .673538-01 < 21.16X) .197237+01 C 9.667.) .911075+01 i: I ti

r. ; 611123-01--c 31. 66:0 -* s /; 576s-.-oo-<--z 2;;-58 :o-- - ----

4065 9 0-02-+-- *t. 6 ?:< > --------

112 os 9 +02 ------------------\, .:

5 .571199+01 < 46.557.) .166324+01 C 26.927.) .838071+00 C 11.85X> .169975+02

.: Iii 6 .134586-02 C 46.557.> .126032+02 < 59.787.) .156034-02 < 11.86X> .179722+02 1 .675843+01* c 64~17'0 - ~s201S1s+oo--c-61;n:o- -- .979510+P1 -c--:Ho39X>- .223512+02 ,

I ' 8 .142969+01 ( 67.90X) .150650+00 ( 61.53X> .599300+01 C 53.02X> .272070+02 i ,\ 9 .379363-01 ( 68.007.> .170541+01 ( 65.97:0 .211678+00 ( 53.57X) .283855+02 i JQ

----10 --------- - ~3T0423+-ui-r7"6-;-09I ,--------;iioonr~-or--c-e-a-;ett-t,---------.54 7855+01-t-67*116X> ** 3 7 4 3 12 +.0 2-..------- - - - - - - - - - - - - - - - - ',.:I .. --/;I gJ 11 .164221+01 ( 80.387.) .210819+01 ( 74.347.) .286381+01 ( 75.32X> 4 0 3 26 8 02 1 'I 12 .732735+00 ( 82.297.) .192343+00 ( 74.847.) .120050+01 ( 78.457.) .494620+02 '*i !-- n - -- ---- - --;-176826+00-c-- 82 ;?57. l _____ ----;11204-;*0l\ftt;-Ht?-------. 92414 2+ oo---t-- 8fl* 86 r. >----- . 58"744+02 ------ - - - --- - -- ---- -- - ------ --- ---

14 0317718+00 ( 83o58X) 0246130-01 ( 14.937.) 0625023+00 ( 82o49X) 0799588+02 ~"I1 Cl 15 .171185+01 ( 88.04r.> .470983-03 ( 74.93%) .732012+00 ( 84.407.> .822707+02 ", 1

---- --16-- ------;63"15 n-=cn--c- ae; 2 or.' --. 4 6-z--3 4"5vOtr--t-r 6o14?:->------o3-JC6~1-01--+-fl 1oo 4 9X> 9 34 03 5 +o 2 - "

17 .437325-04 ( 88.201) .273199+01 ( 83.267.) .300213-05 ( 84.49X) .102339+03 . ,~ 18 .192382+00 < 88.71':> .306015-01 < 83.34X> .108670-02 C 84.49X) .106301+03 , "t?

----- ---; 512195+00-t- -90 .-zo:i: >---------- -- *1"4n5+0e-+-8 3-.-nn----- ---.36262 s+oo--t--05, 4 3X >------.-113870+03 - -- --- ----------------------------"11 20 .118159+00 c 90.517.> .859533-03 < 83.72'.lO .601106+00 < 81.oc:o .144028+03 21 .398423-01 ( 90.61':) .163219-02 ( 83.727.) .255099-01 ( 87.07X) .147360+03 Cl ---- n- - --. ea o 4 59~oi-t - 90 *63X >----------- *"46 sq 2-'t-01--+-B 3-. s5:o---- -----.-18-474-?+00-{-s1.-s5 n -------.15a 29 3+03 -------------------------- "'

f 23 .471336+00 < 91.86r.l .212230+00 < 84.40'0 .123249+00 < B7.87X> .172588+03 - "I

---- ~~ ----- -:;: ;i~~:g6--~ ~~ ;:~~ ~---------- ---~~~ ~!~~:g;_~~~;~g;~-- ---- ~~~:~~~:~~-~ !~ :~ ~~ !--- ---- -: ~~~ ~~~:~~ - - -------- -------- ------ --- ------- ::1 ~

I I 26 .133350+01 ( 96.13'0 .196785-04 ( 84.407.) .660800+00 ( 94.81,X) .236884+03 **i 27 .874671-06 C 96.13l'.> .406216+01 ( 94.997.) .696186-04 ( 94.84X) .250381+03 "i ----- o 189300+0t-r--99-.--93)!-)------ --------, 175H1-02-<--94,8 SX >------.353066+03 -------- ------- - - ---------------- :'. / 29 .248244-03 ( 96.137.) .934802-02 ( 99.957.) .125216+01 ( 98.114> .382429+03 ! .. ! 30 .436176-02 < 96.14%> .205414-C3 ( 99.95X) .197250-01 C 98.16'0 .494062+03 !,! <!

.325742-0~- 1168845-03 < 98.16:<> --- ---- --- ---- -- - --- -- -- ---- -- -,,I 31 96.14Y.) .536Q20-G3 <-99.95'0-- .569217+03- -

J, SUM OF

-:31 .368164+02--< 96*14%>-- --- -- --.-383377+02--(---991-95:0- ---- --------.376509+02--{-98-.HX>------- - - - - - - --------- - - - ------------- ---------------d ,!

MODES J* I 4

- - - - - ---------. --- - - - - - - - - ------ - - --- ]':!

TOTAL- ------- --- --- ----------- ----- ____ J*-- LUMPED .38355"3+02 .31?3554+02 .383554+!12 1:, 4 " MASS

*fRQMOD*, CP TIME 98.408 SECONDS ----------~~ j -- *STARTL*r CP TTME

98.412 SECONDS--

1.*i

~ ".It ***THERE' -ARE ---11 -GROUP -o f--CLOSEL y -SPAH D -MOOE s~oE-lERMINE~-H+-AECORD-AN(E WH H - c fHT-ER I A--= ------------1 o.OO--PERC ENT -- --- -- -- - - --- - - - 1::1,. J BY GROUPING METHOD, SECTION 1.2.1, REG. GUIDE 1.92, REVISION 1 1 FEB., 1976 ***

GROUP MODES (N0.* NAT. FRtQ. ) (NO.* NAT. FREQ. (NO.* NAT 1 FREQ. ) (NO.* NATo FREQ. ) (NO.* NAT. FREQ. ) CNOo* NAT. FPEQ.}}

ML18082A155

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