ML20069F118
| ML20069F118 | |
| Person / Time | |
|---|---|
| Site: | Fermi  |
| Issue date: | 05/31/1994 |
| From: | Reizman A, Vendemia U HOPPER & ASSOCIATES, ENGINEERS |
| To: | |
| Shared Package | |
| ML20069F099 | List: |
| References | |
| CON-NRC-94-0050, CON-NRC-94-50 HA-05-94-0819, HA-05-94-0819-R01, HA-5-94-819, HA-5-94-819-R1, NUDOCS 9406080147 | |
| Download: ML20069F118 (205) | |
Text
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Attachment 8 to NRC-94-0050 HOPPER AND A550CIATE3 mcmsets i
I l
DECO - USNRC DOCKET NO, 50-341 FERMI 2 CCHVAC DUCTING SYSTEMS CONCERN ITEM NO.12 EVALUATION CALCULATIONS h
l i
l Prepared for: Detroit Edison Company l Nuclear Engineering Fermi 2 ;
6400 North Dixie Highway ,
Newport,MI 48166
- Prepared by: Hopper and Associates 300 Vista Del Mar !
Redondo Beach,CA 90277 :
May 1994 i Revision 1, May 1994 i
f 9406080147 940603 PDR ADOCK 05000341 l p PDR
ONA gN NE R$ e S Ort l
CALCULATION SHEET '
TITLE: R ESPONSE TO CONC re s ll- caTE: M Av $4 PACE: L susJtCT: TA9LF OF CDNTENTS BY: A e O CK: /M ' SHT: ( OF_ t t. L .
TA6LE OF C ON TEN T.5 PhC E l.O
[NTEoDLAc7 ION I 1.1 PeOc3Lem STATsiwenT I . 7- 1NVESTIciA Ti O N A PPR O A C H Z I l.3 Rest.A LT SuMMare v 3 l ,
7-.O SYSTEM DE S C RI PTION 4 2 .) TR AN5 vErz se jo Nr CONFI6 uR ATi O N 5 j 22 Nl ATERI ALS 7
3I A ssum ert oNs 8 3.2 L o A os s 3.3 b N A L'/ Tl C A L IDE A L.-l ?_ AT/ ON Ib 3.3.l f$eNo NG 16 ;
3.3.2 Peessues tt
- 3. fl E~ VAL.uATION CON DIT' ON S AND Zc3 L C itiTecm
- 3. 4. 2. 5 Tern 6 74 CeiTeer A z_s t
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HOPPER AND ASSOCIATES HA-05/94-0819 '
ENCINEERS Revision 1 CALCULATION SHEET TITLE: EEsPDNSE r"O C ONC E'rcN f2_ DATE: MAv dv pace: tt :
, i sus >Ect: Tn r2 L F OF CONTENTS BY: A. E CK:_M sNT: U OF_ t L L _ f h
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- 3. 4. 9 Ft. A N6 e LenwAss Ce: Tee A 3r 3 , 4. 3 I~A ri o us C reirens A 31
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4 HOPPER AND ASSOCIATES .HA-05/94-0819 i ENCINEEIS Revision 1 !
CALCULATION SHEET 7:Tts: 2FsPONss 7 o Courserv /2 oare: A ec b t< pace: I j
susJecT: /,O /_ ure oota c TI ON sY: A.9 CK: JM SHT: 1 OF__ 3
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D ocket No. 50-3w to Detrott Echson Compc n r .
Thts Docket c.on.stsis og ct cec aest gor OSLbrono 8 tvig ormaYt on on Ferms Z C C H VAC 53s em destcn apd operattov,. 12 particutor, ,
there a(e Sev0fo0 Gov]cersis regcn(ckw)c the ?
c abc a faE e ovis, H A- 05[BS- 666 struc_iurex0 tnIe]eti l and HA - 0.9 / es - 6 s 6, pef or vie el 6v Hopper s
Oss ocicdes, !
j Th 5 p cscKa e LS f repa{ec, tv) orchef to (e.1.f ovic to ov1f of the c ommends joosed b the NRC re arck tv1 H A -05/ 0 3 - 6 8 6 . Nc4 me8
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HA-05/94-0819 HOPPER N SSOCIATES Revision 1
~
CALCULATION SHEET TITLE: RESPONSF TO CDracE E' N 11 DATE: b PE 9 4 PACE: 7-.
sus >ECT: IN rP_o btA cTt Or4 sY: A . R . cx: /WSNT: E ~
OF_ _ .#.>
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H A - 05/ 03 - 6 06 t.d tff be revieuvec . The foacl.3 c4 c.it vi on itnese jotab votef be es{c<6etsheA from tD mpvter rans macle .
b Hopper O .ss oct c< Yes . 6asecb OA these I coacis , the struct.uu e tr tegett3 of the trc<n5 vers e 30 taks u> t el be- evo Buc<tec$ .
00.5o, t.he passs be i.e t S e 2ecrkage o f f a vi u>tPP be conse de/ed, cmd pit 3ue c mpa bt&Lt .
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HOPPER AND ASSOCIATES # 08B ENGINEERS 9 I CALCULATION SHEET TITLE: 86590r45E T-d CONcFEN / ~7 DATE: M AY V PACE: 3 ]
susjECT: N T C O DLAC T/ ON sY: M b. CK:. h SHT:. 3 OF_ _ 3 t.3 Res u t-T Summaev Baseb vpon caecaeattons per.formec\
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c4Pou>abee stresses cmcl exc.cedtm] Cocle poices , cm d wttko ut comprom ts tm3 ca.c toq hiress. l:
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HOPPER AND ASSOCIATES 4/0819 ENGINEERS On 1 CALCULATION SHEET ,
7 TITLE: k E.SPONSF ~TO CONCEPN /2 DATE: A PE S Y ncE: if
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SusJECT: 7- . O Sv.sygm DEsc r2 i or, ON sy:- A . E cx: 11& sNT: I OF_ 4 h
bVSTEM D E~,5c 2 : PTIOri Four d a cttv, .s stems were e vaGuc< tecI e vt HA - 05/ B c3 - 6 8 6, 2.046-3 .
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of cwtc\
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HA-05/94-0819 l HOPPER AND ASSOCIATES Revision 1 l ENGINEERS !
CALCULATION SHEET =
TITLE: 2ESPom E TO CON cse_N I2 DATE: A Pa O y pace: 5
$UBJECT: b v<-Te M Desceip7sCN BY: A . E . CK: /dMHT: 2 OF y 4316- 7 CAu.xt da r This 33 stem ts focodecl evt the Sutedim Cst ePe vattom 68 o'- 3".
The s3sEno con 3i.si.s of /6"x I6" scpcse ducis c ncl l e " d tarreter rouncl d ucts.
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HOPPER AND ASSOCIATES HA-05 ENGINEERS Reyis/94-0819 ion J CALCULATION SHEET i
TITLE: E Es PONCE ro CONcFcN /2 DATE: b PE 99 MGE: 7 !
SUBJECT:
6 V57 E M DESc c e PT/ ON SY: A. 2. CK: llM SHT: 4 OF 4 l
2.2 M aren, ALs !
The mcdenci8s used om c esbuciton Ofe ,
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HOPPER AND Ass 0CIATES ENGINEERS o CALCULATION SHEET TITLE: R n sPONsF TD CDN c s/2 r4 /2 DATE: A PE V PACE: B susJECT: 3.D A u n t_v c. ,s A PPC OA c.4 BY: A . E. CK: / SHT: / OF ~24 I 3,l i As s u iv1 P Tt ONS h
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mechantccd stre>15LHpropertnes css ccw bon steed A - s c. ,
- 5. The AISI Cocle overt's the cles n Of ;
dudwork because of ets ctfp& colon 8ty to thtti gage .shee{ mebe, f ffef 15 P g11-3-1]
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i HOPPER AN SS8CIATES CALCULATION SHEET ,
TITLE: k ESFoNSE ~7'O QN c FE .^1_ /.2,_ _ D ATE: A Pc 9 lf PACE: 9
SUBJECT:
A NA Lysis Appizonce sy:
A. R. cx: //AV swT: z or vti i
3 .2. L o A os !
The foacl 3 due to Dec4citaeight are obiceec'
.from cDmp a tel runs perfornaech an NA- 05/68 - 6 8 6 [ Reg 23. The seismoc unduecl forces cae from HA - 05lS S - 6 6 b , O b bcwecI 5tte 5pecsftc Eart h}sc< ke cri cr fconn 2%
damptn5. The Hoffer } nssocicdes comptder cesafts ca <e basecb on gcAvc<vi ecl mehtl dad sloeef 6kckeress, To esito1cde 4 We (o<ces a v,cl moanev, ks Lhost tanef resu0t baseb ova ct ba/E meic4 thtctmess , aR the (o<ces reporte cl en Hn- os/es- s es cree m tx f tifece cl b cu conservatvie pa ckor of I .I . This fca ctor acccuvtts. .por klne frec;uencu si,7 f due to blae ctclclect p eex c 6 tdt],
The foacis are s ummc.ngecl on Tc, bees 3. 7. )- 4 The claS .a pressae t. a cdl tke systems es 2 2 un c ta H 2o or o. ,s s ps t .
HOPPER AND ASSOCIATES A-05/94-0819 ENGINEERS edSion1 CALCULATION SHEET TITLE: kES90NSE TO [nNrEEN / Z, DATE: A Pc ' S V PACE: 10 ,
SUBJECT:
A N at_ v si s A pac one A/ sy: A. E. cK: /lM sHT: 3 or 24 l
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HOPPER ENGINEERS AND ASSO.CIATES e On 1 CALCULATION SHEET TITLE: kESPONSE TO (nMcEEN I7 DATE: A PE.' b V PACE: JI -
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ENGINEERS Revision 1 CALCULATION SHEET TITLE: kES90NSE TO (n N e gp_.N / 7., DATE: A PE.' b 'l PACE:. /4
SUBJECT:
- A NAt.V315 k 99R Cng A/ ' gy; A . E. gg; //kggy;_ 7 gp_ .gg a
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b 'l PAGE:_ /5
SUBJECT:
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HOPPER AND ASSOCIATES ENGINEERS h5o l
CALCULATION SHEET '
TITLE: Res mms rn CcNcrew / ?_ DATE: Aec h v PACE: /6
$UBJECT: ANA L.vsis APPc CAc // sy: A . E cx: MAMV5HT: 6 OF 29 3,3 A N A L Y TIC A L. IDE A L 1 EATi ON 3.3.1 BeNo/NC3 The fon d chsIrt button o n the g8arges clue
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susJett: A un tvses AppeoAt p sy:
A . E. cx: W SMT: / D OF__~Z4 8
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l
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HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS Revision 1 CALCULATION SHEET f
TITLE: CFsPONsE TO CONC Ec r4 17__ DATE: A PP_ 9 4 PACE: 19 susJECT: ANAt vse.s A PA7_ OA c H sy:
A . R. cx: /@ sHT: II OF. 7.11
-i Thus, por i b' x 16 citr c.Y omd L iIx / k= N ;
t
[ %(fyr) { caffronWE )
IS"Ifyg) . .
l I 4' Uyr.) \
t
/6" (p) .
~
d'= (ir,t,04-))-g' j = 3 2. ,7- l 1
i S tmi&rf3 for %e 16 /i duc.t d'= /o.B3" '
The mcmenunn tevisi ovi ts clekermtvice i ff0M ' i Fr =. Q V1 = benbm rnomenk '
n=#of b els ta temior l l e n S t O vl O vl One bO$i,
{
.- M !
lb xth . F r; 5 ( ,,,,9
=
. o t ss M l 14 v 14 F1 = M = . 0 2. 3 1 M '
4 ( 10.B3')
i l
m _,___
HOPPER AND ASSOCIATES 3 ENclNEERS CALCULATION SHEET .
TITLE: E ESPoN s E to Cnr4 c Fr2.N /7, DATE: AP/L 9 LI pace: /B ,
sus;EcT: A N A Lysis APAROAC H sy:
A . R. cK: /J W sHT:A OF 'lle -
00LAN D bECT ON The bevisade doot t O v1 CL BON coid be esttracde cl usinc the fof#ov>u,c{ i
_L v u 1 offrourv>cwLov,, l A b( = TT c t'a !
Whe/P.
A6i = Tota 2 boet area, sacfu dnm3 congreucon C = Soet cerca dwmeter ti, =
Egus vctfen2 6 trop wtdik l
Z= TI C ' t 'b 2= se dan m odu Pu s ,
4 ;
Fr' = M Agt F' = Tens,on orce on fc;6on !
7 g uFe s :
S u bsh tuttuc for A bt avid % , iae ge t F? = M ii c *ti (7Tct't) = 4H .
n C -
i Secause the max t mun i boff spacig . gor i y
duci p Pcmges tf, O.c. , the nun,her of bo& tn the cwcuPur ducd connechan Ls
i HOPPER AND ASSOCIATES HA-05/94-0819 ENCINEERS Revision 1 CALCULATION SHEET ,
TITLE: 8FSPONSE To CONr ge N /2- DATE: A P/2- 9 t< pace: 2o susJECT: A sn tys, s A ppe-oA e 9 sy: A E. cx: AW sHT: f 3 OF 2/l
}0 h, n = 7T C _ Ti ( /e i) = 16 bofis 1 H H
\-
I v.s" $
n = Ti ( I d1 -
is boets 9
k "T h tA s , Elqe tetqsiovi m Dnf bO88 (5 c.DWIf til.e ff0VM-F-r = HM nC 16" 6 F r, = . 012.3 WI ns$ Fr, = . o 1 it i M
- --- -- _ - - 2 -
HOPPER N 550.CIATES 9 019 3g CALCULATION SHEET TITLE: kF5PON.sE -ro CONcEr2N /Z DATE: A Pc O L/ PACE: Zl [
sus >EcT: A N ALV5is A ppre on cs sy: A . e. cx: #ssT: /4 os zu i 3.3,2 Pe es.su e e i
\
Internce pressure estee ud ocluce 8ongduclimod l
forces, aj htc h have to be h k e vi Iog the boFis. '
~r7nj ep(eci ;
FI <-c : w F, ' ,
Fr' of ~ -, Fh v i b '
-s '_, .- 1 ,
Fg 'Fr l F,7 = Fp ,
l ff t v1 e e ck due 80 greSsu /d 8Caku1 c L5 Lonstde(6 j U1e La creuse t L1 b o d -/.c a s / 0 ,; l cc\n be fotAAcb (fOnA ;
F 7 =F'g y ;
f n i v)heit , l
(
W=i i+ 100 bd' - I 6 tJi'/r-) [ Ee[ 4 , 256
\ 70 0M + 'Z.1 tMV n {
b =
distance prom eci e Og othchynent to bolt.
- d. =
boet dtometer i O =
ts O A CE
({0M bO$5 tn $2ASIOt1 Yo benss0M C &
w =
un dth of pMe ;
n =
nu sa ber og boets t =
t hoc kness of p&de Y - _ - - - - - - _ - - - _ - - - - - - _ . - - - - - - - - - - - - - - - - - - - - _ _ , , - - _ - - _ _ - -
HOPPER AND ASSOCIATES 019 3g ENCINEERS ;
CALCULATION SHEET i TITLE: EESPOtVsF To CotJc Et N I2 DATE: A ee R Y pace: zz ;
1
$UsJECT: AtwALYSI5 A PP /2 O A C.4 sy: A 12. cK: M SHT:1oF__ 'lu CafcuPctb or gar various cluci wn(<garcdtons, oucT b cl a. u> n t or i
!$lb' 3k /1 lb' 5 'W l.5) l
/6/4" 3$ 3/i %' 17' 4 '/Y" 1. W
/ 6" $ 3/ 3/f' 3/v" 30 4 B '/6 2./ D I?.f p 3/i 3/f , 2/v 2s.B' 7 '/B 2.D6 [
For cir cufo r clu c k s ,'tff' ts conservd tvpf e st<mmteci c< s hcJg tuo ctrcumf e re nho boet cercee ancth. '
(
T NL fon tudmod tension forces arise [
frovn mem bro <ne stresses on the ducI joaned. l For etec.ufar dutcEs , thts porce es easte 3
deternuv1e ci f ronn, Fy = P A p = P iT D' l tvhere,
_D = d i c.en e ter og t.he d u ck ;
r is" $ Fp = 6 73fp.l ( Ti ('Bd .= toa eb j 4
I75 h Fp = { . 9 65,2r1) ( ii ( s7.5 T) = I s 2. 26 4 !
i .~-..;..- --.. -. -,!
. 1 HOPPER M SSO.CIATES CALCULATION SHEET TITLE: PFSPONS E ro C ONrER N 17.- DATE: A Fs2. G V_ PACE: 23
SUBJECT:
A N A L Y5 f 5 A p p /2.OA C H A. E.
By:
cx: W sH T: I b OF_ Z#
t For reckangaear dacks ob%Aen ,
e on3e t a st m a e p orces,ts a maeh mee '
comgfe>c tctsk. Frorn [ Feg /4, Pg 4213, :
p2ates wtth osped contt a b g < Q c a vr be covis, de red Eon c~ vtd umf t ntteP ,
therego<e can be avial ec c
~./ m / gs i f / 6'> lb' k * % r . 53,
' 'ir "f b ,9 4- .
From ctbove t.t c ci n be see,; thed on#
3
%nsve<se tenstee stresses w n.e e b e i sicw ntf(ccd.. Indeec! tn most estendtwe. %e Eongtdecd tensiee stress ts noi discussecl. :
Hotae ver, a reasonabee esttw1cde of sbess can be obbnod 6 the 3 caecuAttn3 cle(eoct oo at the ceder o( % p&de. !
Fan the cleff edton , the skn ancl th ;
s+<ess ean be esLvwLe cl. i
~
HOPPER AND ASSOCIATES 3o ENGINEERS ~
CALCULATION SHEET
- TITLE: b E' SPOR 45 E TO CO rv(Eg/V / 7_ DATE: A F/z b L/ PACE: E4
$UBJECT: ArvAL% SIS A #PEO/9 L N 3y; A , R . CK: /J474AHT: 17 OF. 7tl Frovv1 [ 2ef 5, P 'I 80 ] , f or s s um pee sufported fede, c> b" b= I s or 14 "
'E t" .
C' : '735 25s J b= .OH76" l 'l x l'1
(,7 9 5) , 14 N- 'Z O Z.
2% 0 6 '0478
~
lb xlV
( ~76 5') f IL Y -- 3 4 5 2Sx106 \ .0w78 [
The cle fecdtovi od Se cevtder O th4 f 0cke u o bloavlech frovv1
_ = 1.03
-=. z. 5 5 ( extrapofcded)
Thus,
,q.. ( . 0 47d( 2.03) = , 0 37 mc.h q ,c = ( .o v ve)( t.ss3 = . i n uck e
I HOPPER AND ASSOCIATES ENGINEERS 3o l CALCULATION SHEET TITLE: EFC.PONSE TO bNCERN l1 DATE: A P/2. 9y PACE: 25 l
$UBJECT: MNALY5r5 APACOACH BY: b e 2. CK: MSHT: /P; OF Til r
The trc4nsverse tens, Pe stress cd the center of ttne fecate es, f vi b~ = l o. s
( e t' ,,..
72 b' _= /8 C extrapofcded )
Et~ IC' Or ,
a vJ m.
= io.s tze,ro O (.o97s ? _ 3 ess ps,
/ 6' '
Q ,.
tb
=
IB (2 <lo')(.047BP '
1 466S f se The fonjetuclmctf .stres3 ccm be esttecded ;
usmj the go&ouluoj esunyio>o, i p = .,n- pn (y..a2' 0') ^ W ff i e: o s
<r 3 0
,[]" W '
['t k , g Y= -122 f
[i M NW
/ e, , , c ;%lff ,, :
i The de(Peciec 36 p c.c.n be et conm$tec{ as, p,M = . izz sm ((x ] pga = .itz sin (g j pce = .03v str (n,g pu = .on s,n (n;) ]
O HA-05/94-0819 HOPPER AND ASSO.CIATES Revision 1 ENCINEERS i
CALCULATION SHEET TITLE: k FSPONSF To CONCEEN [1. DATE: k 9t?. 4 PACE: ~2 6
$UBJECT: A N A LYst5 A p e re o A c H SY: A I2 CK: 4/#1VSHT: /9 OF 20 The Une orrc can be p o w ,cl een3 LHof
('Om > pe '
L =
\ l4 (dg f(xO' dx '
The skroavt c a vi be covvif ubb { v'ovn, ,
E= L-2 , s t.
e
~
E So , for '
A = l b nIC 1
L_ = 1 + (h C.i2T-sin (g))}* dx o
6= t.4 39y/p'V i 5tvndo/03 ,
f = 'b O'
~
E ,,=. H . o s v i o " E,g = 2. 5 73 sto l 8 = / 51 "
r E = l.lB4 'tp*4 l The < cEt o's cae, E.ou- , I 434*IO~" = '3.515 ;
E. g 't . 0 6 s to# \
F. W - 1 164 slo * = 4. SS E g-
't. 57S 11 D*S ;
I :
i
HOPPER ND SSOCIATES h -fU CALCULATION SHEET TITLE: f2 r s PONsf= To CO NCFrz rJ ft DATE: k P/2_ @ M PACE: 1 ~7
$UBJECT: A N/AL.vs a s AP92 Onch sY: A e 2. CM: MM SHT: Z D OF 7)
Knowtaj One cdo of the s iccot as f or the trc4nsverse ancl fongttud tvial dwechorts, the los3ttudt vicd stress c.a n be adm'cdc.cl b
( a6 ) ,g .. = "d ss "5 = '**6 PS
/Fa a1 ) iy = ; 3 9. 6 65 se
= Goa psi The totc,B t ev,siPe go<ce clue to pessure es o bta t vled p rovvi ,
Fp = (Flag ) A dad I C'x ir Fp = 032 6 ) { . 0978'x 10 9) = 906b eb 19 "x 19" Fp = ( 643 ) ( .o 47 6 x 14 > 4) = 1160 6h The tevis,on per b off , enceu chnj pr3ug, fof eve secEcon es dete(mevteb ftovvt, Frf = Fo n
oc = P4 <x n
Tb1e (254k 5 Of6 S AVV1fv1C\(L 2 C, G V)
To bee 3.3.1.
9 4W e
HOPPER AND ASSOCIATES 3 ENGINEERS CALCULATION SHEET TirLE: k FS PONSF TO (.orac F/> N / Z. DATE: A PJ2. 9 PACE: Z@
sus >Ect: A enu ys ,s Apgec7acg sy: A , e. cx: W swr: zi or__2:1 i i
DUCT R F n Fre !
t I Vx ib' l.51 H oss eb 16 363 eb I H'; 14" t, % 2130 lb i2 25s gy ;
i O' @ 2. 10 2 03 Pb 16 27 lb '
I7.8 $ 7 06 192 lb /5 27 4b >
T^ cst.e 'b . 3. l . ITessi t.e Fo2ces os Th ot.rs :
Due To Peessu ee ,
p b
N i
I i
1 i
i l
~
' ~~
HA-05/94-0819 HOPPER AND ASSOCIATES Revision 1 ENGINEERS CALCULATION SHEET TITLE: hG<;PONSE ~TO bONCEF" N I7- DATE: A FE' 4 PACE: ~4 S s'us>fCT: Aun tvsis A gee oncer sy: A. e. cx: Axp sNT: ztor ty i
1 34 Ev At u A r,os CONDITIONS AND C r21 rE e t A 3, ti. ) A PPL I C A BL E CODES AND b TAN Daft O S h lSI - Coed Fowmecl Steee Destgm E I?e; 6 3 M o vitsc< 0 , I S B S.
TA w/S - Struciwoe w/efdtec, code, [ 12,[ 7] :
, J bleef, 19 6 3.
A/Sc - Ste<8 Coashucbon Me auc4( [ 12eg 8]
9 *> e cht, o m .
kN3)/AsMe 195 0.s - 1960 C Ize f S 3 j f
- 3. v.z 5Teesc,Tu Ceiree: A i The boet skess aceo a 6ees ctre based on tke hIsc oc AlsI spe ct(t ecxiton.s , depea dw ovt ihtc kwess of Se emaienc<f beu3 condecieb. '
f A noesi connecded put 2 Wi I Alst 4 3//6' A l51 ;
i
HOPPER AND ASSOCIATES HA-05/94-0819 ENclNEERS Revision 1 ,
CALCULATION SHEET l
TITLE: kE 590NLF 'To bN rE/2 N /2 DATE: M4Y []4 PACE: '3 o susJECT: A N A L V5)5 A p p/2 O p c g sY: A E. CK: bsHT:X OF Z Lf The weeds sireagth o hei# be cloecl/ecl agcuasL AssI cun cl Aws D 1. I spec nf t coin ons.
06 3 chs c ussec} tn Ais i E Rep 6, Pg Il- 333 .
Commen tar) , f of comechc! mcdened eess 0, cat .Ist.ne4 m & cIcness, tec.nn3 of Lke s heet me4c<2 ts he i
wntroeemc\ -
{
fah re. mode. j Ste((eoer stren3% o&Aca>a bles cwe basecl on A Nsl N50s- 18 00 ,
Pa ra]. 5.10. 3. 3 .
w hic h specpes a m u twiu vn siresc of l 0.S of y eed stress for covvtbunes Accads l whtc h toctude ibe Sage ShvLdovovt l
Earthc' acs ke, anb O.G o f y e 0cl for Ofe(ahon, 3.4.3 DEFL ECTiON CCITE R f A !
- o. % wc M statec de(eeckton o( ste.ffners us basect om hnsI 8 sos - ie so, porq. ,
s.uo.s.n, w hic h spe etpre= (or pecmy i coaneckons, !
'te
- per foot of spaw , but no more j
% ovt 3/q ",
HOPPER AND ASSOCIATES ENGINEERS h i I
CALCULATION SHEET l TITLE: OF.S PONLF TO foNr FR A/ /1 DATE: M 4Y O L1 OACE: %/
sus >EcT: An Atvsi , A ppe O A t M sy: A, /2 - CK: /M $HT: 'lL/ OF *1 y >
3.v.4 Ft_ m c,s lea c ce Cearse A The do not specy < ecd #q C o cles ;
a -
Ot C Cf /f SS b1 t. 5 LS5 u e , hotuever cs corservedwe C.fIie<ics cc n be cle vePope ci p <ovv, c, t cSsuMg(LCM khaf [hctUgf $PG bgf MM((
O c c cir t.dhe n i,he bodi Et [1EEvi t Lic( .sbC55 !
J ;
L5 CVe/C.OM4 la DCv1C t vi , terLS I he cm v1 c\ L P " " "'e Si"32s "O 5"'
- d o" Se bOS$
ffCn1 e b e {n a h S OCr btV .
3.ti,5 FA ric,ta e C en Tee A .
basecl on Faitgue c.onstclerot bron ts
{
malencd propefttes cwlb feb q ue carves i founcl to vanoas 4t.ferc(fu.re, T
l
HOPPER AND ASSOCIATES 94-0819 ENGINEERS 05{On1 i5 CALCULATION SHEET f TITLE: k FSPd(VSE' -r b CONcE'/2N /2- 0 ATE: MAY 94 PACE: 3 'Z.
$USJECT: 4, O A u n t-y s :3 ,
sy: n . p_ . cx: M sNT: / op 4e 4.l 5 vsrerv1 2640 i B" $
Soc r - C sect < ;
Tenst Pe wt b o 0 h L. a t e A o rt s e f r o n 1 ,
fa(ces Deaduvetght , Setsmuc c< n d Press a.re doock un Frw =
Frm
- F~-rp -r Fr, alhtre, F; ,= Tens, ov, ansas bendvi
.{ vows (ortc c.
F rp =
Tet 251ovi avtson f<oni jaresstAre f octes F r r. = Tension a ra.s e n3 ( co n ; tenzi4 forces Frovn prevc ota s ce sub-l5 ,
F rm = .0 /Z3 M [Pg ZD) ]
whe/c !
M
- M ovJ + M sess H= 6 74 + 5 2 73 O + 410 = 5 4 014 c'n - Eb Fr m - .0/2B (59 ON) = Gs 7 46 Fr r =
Q, = M G eb Frp = 27 Eb (P 28)
F-reo,_7 - e> 9 7 * % + 27 = 770 46 I
a _ _ -_- __ J .. ~~: ~ ~ ~~~:~ - - ., - - -
HA-05/94-0819 $
HOPPER AND ASSOCIATES ENGINEERS Revision 1 -
CALCULATION SHEET TITLE: b E'SPONSF TO CONCE72N / 2. DATE: A/I A y bL/ PACE: 33
SUBJECT:
k N R YSiS BY: A.E CK: NV SHT: 7 OF 46 The shess on a boPL ss ,
A bo2t = E l lG Y = . II e vlc k 4
t Sgar ]?O 7000 i ft .= = f 5.t
I Aboct Fro WI Atsc , To bee I- A , t.He cdfate b0e b asi8e sd /e s.t. pn A307 6od c. s.
Ps =
20, 000 ps c pf - 7000 < P+ - 2.0,0 0 0 p s , O. t< >
a The shear om boets dev& opec (mm torssona0 mob 1ent , ca^b shec.nu forces, FVm =zM< :
nC ,
= 4100+(%O __
~
36 Eb >
8 x /s,5" !
F v, = _ ; 2. t + 20 + 8 4 0 _ (,2. -6 b
/6
['
Fv sog; - Fv,,, 4 Fv, = 3 616t = s e ma 891 j?sn
[v= -
Pv = io, ooo p, As.s c , ra bee I-b '
es / < 10, 000 ps.' O tt v _
- .. ~ . .. _ _. ., ._ . .-
' I i ENcfNE Rs CALCULATION SHEET TITLE: R E6PDNsF -7 0 CONCEEN I 2- DATE: MAY 9 4 PACE: 34
$UBJECT: A N A cysis sy: A.E. CK: M SH T: 3 OF %
L Ft. an c,e - C nec t<
The duc.t femmges co s,s1 e7 cer > gem,o, c<vigee slaapes . Fr o 2 e 't 8 - 3 the .
ongees. are , L IN y I k x g ,
s-re esse s .
St resses ua [Pamges anse pom triemns pressure ecot btm3 , trawsme tiec\ anp orm og hoop ancI .36resses.
&m3thdtraf [
The pressu m stress t.s. cleievmoned l
{<om P" = QC vJ hne ,
(} = , ~7 3 5 ,*.> s t , tyrkernah ffes5 v(g ,
r= 19/2 = B" !
t 4 " , c4agf4 &3 tkc kvicss
=
i pn = .7es(-e.oS i ~L 3
, 58 ps/T<. G (sswo ) .
= 7. I, bOOpst I
There ts a powhifi[q 4.Wcd the f me btrck8e, The cnit ca8 om3 e rtm]
HOPPER AND ASSOCIATES gy3o ENGINEERS CALCULATION SHEET TITLE: k 6 C#ONc3~ r0 CONC F/2 N 'f2 DATE: PACE: ~.3 6 susJECT: A u nt.vsis, sy:
w A . e. cx: /AF sNT: 9 or_ 4e I
Ls ch bv.ck0en5f{eSSV{e efmLAec ({O%
c;= sex c ee( s , pgs,s,caseeJ I = c , . 07 8 t.n c b" = .156 mckV r= c3.O mch S o, C' = 10, bO O f s e >> 3 B5 ps s , be s t n f renu fe Thereg o/e buc.kPtn .s houfcl mol oc cur j tn rouncl o fm ac es. i T v ,
i Temston to bo0fs wtee om trocluce stresses tn the peange as s hoamj !
l ;
a u Fa, , tke u Fa M(' n ~~
W outs.cle boet $asket ts not%d l
i } er 'eci-tve. assume y,, .y fu223ef((e z o's. ebveness,
)
h T (s z 1
C .Sc
.j c = I s.5 ', boel ce<cGe chameter (s, e,==20.
et is.as, ts , ', 3 ms ket ceri.e< diamcter (cgr<.)
\h = h, .bb
- (C - % ) -- (2(s)
~1 S'- C } =3"> roomed om
. l l
HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS ReyjSion 1 CALCULATION SHEET TITLE: 2 ESPONSE To C.ON C f=R N /1 AY DATE: 4 / PACE: 36
$UBJECT: AN Acys ts av: A . R . cx: vW sur: 5 or vs The tersde foacl ova boet.3 co vi be c~venc ec\
cons erverts veA3 by i W = Fr o o tr S r1 gr c(rcumpoenttc,e crch iT C
=
~7 7 0 s I 6 - zol Eb /,nc k iI ( 19 . s ')
The rh o no e n,b t s.
M= W 10
- 241 C.3 0 ) = 60.3 en-E,h/,m4 ,
The. Siress ger tv1c b o [8ay1 <
ts W
= f = 6 0.3 ( 12 5) --
L3, / 6 0pn 22 2. (.s2sP (1) '
- 1
~The c.A0cvam b0e for earth}vak tv1bute facids , g r A N SI /Y s'OB - 9 0 ; c5 l 3 ( ip =
. S (3 c,00g ) = 3 z, v o o :
pp t 3,is o < s 2, 40 0 p s. ,' , ', Ot< \
D EFL EC 'r! O M '
3 vb tv1 ffOn1 We St(t5m pf0Nuceci b 5
Lotenac,P '
pres.sure, (exage de(&d;on t.J s 2 2 be smod) en roun,a d ds, .
HA-0S/94-0819 HOPPER AND ASSOCIATES Revision 1 ENGINEERS CALCULATION SHEET , i TITLE: ESPD NSF T~O bN C FR N I2- DATE: BAY R V PACE: 37 b N D LYq / b
$UBJECT: sy: A R. cx: #ssT: 4 or << e WE L D - C hec tf j The p fa vi e av1c des a re b/c4 eh to e se aeet meu as wms s u own l
<n se&on z. z . ne 6<mpr$ i ts gfa ce d od B"
/" fov13 and ts f or cevtder. <This bruge ts ag gciec l
oriPq by tnier/la0 pressufe ces .sh0Wul, J J ;
^ R-
't I
i[
C' !
The brage ce a ch ov1 gorce es
- c7 pron ma tecl 6 , !
Rw=cj dp i C = ,M psi
/ '
6: so", En butor3 cLci eevyih , t. e !
dist anco bdwem s6g ene<3 ;
p= 6 " , Bea u og cluci 10 % b 3cae scage. c
. _ = 2 :_ _- _ _ _ = _ ._____ _ __ _ _ _ __ -
l HOPPER AND ASSOCIATES e ENelNEERS n CALCULATION SHEET l TITLE: bF5PONEF T-O bN c ge_ rJ /7 DATE: M n',f 9 4 pace: 3 ?? ;
SUSJECT: kNALYstS BY: A e 2. CK: />#V SHT: 7 OF 4G !
Ew = .7BE (bo) (B) = 3 81 db l The off-oWosbOe docd w clete mtoec, !
AISI , Pg l- W, whic h !
[(Owl spec tfies t.k ot t f or er Goach fccav1sv-ptse to % weecl the cr eQowc8 hee i
. force ts , !
en = L L Fa , peeed we0b wkm [
t = . o 47 S" , % c l< mess of .s heb me'Ecn f L =
- ", eegth bec p og l Fu =
56,000 p1r., v ehmcke st(ength of skeet metoe. i o
En = (. cce L i ) ( s e, coo 3 = z vv s 26 ;
i Dsvidim3bg 4.he scs(dy fcicLor (2a =
h .JL ,= 2. 5 , wefduo
_5L. sc.[e p cto ;
I2a =2{3 = l i io Pb > L = 3 8 z e b gg,
' ~
HOPPER AND ASSOCIATES y i
ENGINEERS CALCULATION 3HEET TITtE: d ESPONs t: -rf) CONCERN 12 DATE: M AV V PACE: 33 susJECT: b N ALVsl 3 BY: b ' b- CK: WW SHT: 9 OF_ 4@
E Asc,e LsAgAde - C secx
(
As discussec pre viouse , p8ange j een kage ts a ss u mec to occur {
when %e bo8L ltqhtentvig stresses L w [
cde aver t o(He b
~lension (<0vv) \
v a tuo u s bev1c%cy tenstPe ca vlcl pressu re
~.
stresses . L tems of gorces, tlae ]
Pea ko e cobrtes ts, ,
Fmw - Fm -F4 - Fp = D i w he(e ,
Fmg= % ri 17 D[
4 Du - ,3g" , bo0L dtavneker n= lb , nuvvi ber of bods t%= M og boet gtefcl strev,3 % or boel stress tH6t wtee causa 50% '
comgression to gaske( tAchever !
ts secdfe/. This ts c, <<ce.sona bee c 3 sump 6on.
= V7 (upco) = l 6. 000 ps ,
or V m t< egucds stress neeclec{ to cclueve 50?o wmfr-esst on of thegaskek.
HOPPER AND ASSOCIATES ENcINEERS -f '
i CALCULATION SHEET ,
TITLE: 8Fs PON s E- ro Cn N C F/2 W 17. DATE: May dy pace: 9o ,
sus;EcT: A N At_vs is sy: A . c cx: & sHT: - 'S OF f$ ,
~T~o esttmol$e stress neeclecI t.o o c ia t eve 5 0 % uovvifferstova , -t.k e st q Vless of bhe askek ruecIs to be ccdc v8afec} .
6^5kr7 boff hoe j area -l
, Aan = IT
, 4
'g-
&~ c T ( tl'- / 69 - /6ILv U/ef i.vic & !
{~ Tort D men >wns ees Emmerc a]
M: FA \
E = too-3000p>< , Ne.opfene '
t.^ s e / 000. ps, [12ef 3 , P .w]
A BB,7 ps, - - - ,
1 t- = P",B gasheY &cl(Mess (a sSume c )
K= 6000)(88.9 ) _ 7. D9d O fh/tn !
~
Vg
i Now, '
i fc L4 6 , b = Q , 50'h co mpt'ession f = 1.0% i O'( .!g. ) = %,'b50 Qb Per boel stress I
ws n' A b
= m so
/6 ( ll)
= u ,2 co p ,
t ke.
Cons cletuvl3 vc,vage t.n E' of Neofreme , cr ;
~~-
9 y
HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS Revision 1 CALCULATION SHEET r -- -~
TITLE: bESPONSF TO for4c s-cN /1 DATE: Id A v 0 pace: 9I i, I
SUBJECT:
b NALM $ 8 5 , S*J: A k. CK: MdkSHT: / O OF 99 l
moe re6 g t. s us2 , Thus Fe = 6.6,000)( I6)( rQ( 3/sf ;
4
=
31,000 eb !
Fm = HM -
(com (Pg is )
I H =
5 4 , o14 m - P6, M ow e rA w,g e
, t Fm= 'l(59',oty) _
//,/o0 46 -
/95 Ft = 13 0 2 h .
Foj =
27 Bb (16)= 43Z Eh f.mm ( Pg 2 8 )
Fm y - Fm - F-l. - Fp 3 I, 6 00- II,IOD 'n O - 432 ==
1s, su o >0 .'. No Len lage i
r n
l l
i )1 HOPPER AND ASSOCIATES 5 4-0819 ENGINEERS Ud CALCULATION SHEET TITLE: kE.5 POrv T r-D CONrEftrv 12 DATE: M AV O4 PAGE: 92
SUBJECT:
A N B L Vs /E BY: A . E. CK: O SHT: f/ OF_ 99 '
l 9,2. S ysreM 43/6-i if x 19'h lbOLT - Cuscu The f orces prod uc< vnc tevi.ci on o va the bovis cae ,
F rgoc7 =
F c , + F 7.,. ~ F rp For Y Ve 14 " til 4 " s a c t e N u c.
F7, = . O z 31tA (P IB) where :
NI
- M cw e M seis
SI 7 + 632 60 + 170
6 3,9 4 T t.1 Pb Fr m = . On i ( 63 '797 ) = / 4 9 3 Ph :
= F- 1oso 2b Fc7 = .-
91 n,ebcels it '
F.r o = 256Gb FrgoL 7 =
l 475 + 9 I + 256 =- l 822 2h :
The 6ms,8e siress 'on tWe cri{tcd yog{ -
t A bat . lld
.. O. K 1
HOPPER AND ASSOCIATES ENGINEERS h3 'f CALCULATION SHEET
, 1 TITLE: CES PONsE TO CoscreN /7- DATE: M AV 9 4 PACE: k3 j
$UBJECT: A N A LYS15 BY: A
- 0 CK: b SMT: /7, OF, 40) f The
.5 keC<f ((OW) bO(S t OV10t 0 010tYlenk cr n ck s hec,< porces <s, Fy y = 7M S~.,
s ,_
,,Fv , ,
( *..
) ~
i, m
i n '*
2 s' = s ( 'S .ir P + 9 ( E z' S ')' = e s i < e Fu m = ( / Ws 40)( # *-
- 8'#) = L 2.h 9;
Fvg = 3B + 37 + /056 -= IGI e6 ,
/ ?_ '
Fve,c T. = Fum + Fvy = /61 +Z= I63 db l The skles 5, I H 67 joss < 10,000 psl QM
=
fv lb3 --
h ssavv w s a a v, ear teu,sion cab sheav a
ta ke/A cit or) I
, b + ?V <f i Ps Pr
- .=-- __ :-- . . - - .
HOPPER AND ASSOCIATES ENGINEERS S on CALCULATION SHEET , 3 TITLE: 2EsPONSE TO CONcFCN /2 DATE: I AV b V PACE: 44/
SUBJECT:
A rsn t.ssis av:- A. R. cx: @swT: i'A orm ;
16,570 + 14 st = o, s q q <l O K.
20,000 10,000 Fi Asc,e - c sec x For flae /4"x/4" duc ( sn sytem 43/6-1, l the comgomos ctvag&c ctre mocle up o c w; 14 g',
D 6 TEEss 6kfeSses e v) G es f ov1 oeftse ((0fv1 cudema0 pressu re 20crcLvn3, accNt u over in bu W 3 ueo. ,
t,a lbj,,
~
h 4 JsL4 4 J J + 4 ,g MP g vi y) 6 i /4 " i sef N f VJetQ {
u) = (78Eps, ) (30* ) + 3B = 2. 4 . 3 eb/m ,
Mp: u) L' _ 2M.3 ( ty f 3s7m-Bb 12 11.
The stress ts, ,
i
- 9. + A_
z n .
Fn = w/ L _ z.9.1 ( N_) _ 1 7 0.I z 2
, . . ~ -. ~_ _ . - . . . . .
HOPPER AND ASS 3CIATES 4 8l9 ENGINEERS S n s CALCULATION SHEET p TITLE: bCP() NS E T0 CI)t4 T/? PJ 11 DATE: M Ay 9' AGE: 95
%_ _ = ~. {
SUBJECT:
A N ntvses sy: A .12. cx: W& SHT: IV OF 4$ f uJheft, e E = . 2 61 tvi', secdto.1 modu 8us por
- 2. L llt w /!t x '/ q " i A= 2- ( ( l . 5 + 1. 2. 5 ) x . 2. 5 ) = 1. 3'75 e n '
o 3 S'if fb *
.za
-+ / 7O. I
- 1. s,.5
= /6'10 P5' < ~z 's 6 o P5' !
. ' , o w. :
- i The str+ ss on 4.He ( &,nce pom Lke boffs c3 e h at#cl 6 ;
a dtstet buted tens,Pe3 ass u mm3 1
-m
- _oad i
[ , fg '
H.y y T- - v g l Ec., '% l
\ -r: A _
['..._
up '
nt='l,4 bofis talon tevis,ovi L( = W, (uff Genkh of (2anc e
\Af = 1822xY_ = '-129 -6 6 / t ac L, 7 f 1
i
l i
A 4-0819-HOPPER N SSOCIATES CALCULATION SHEET TITLE: kF5 PONSF TO bHF L 512 N / 2. DATE: M AY Lf AGE: 9 6' i
sus >ECT: kNALYSfS sy: A . P. cx: AM SHT: 15 or Hg 7
The momed per unch og geonge, !
M = u.) hj'h = j
{Gs..i =
/ 2 9 t n e b / ..,c t,
.- - ~ ,
The. stress ts, !
M f, /23 ( . 25 )
Of: 22
- 2. , c . 2 sPo 3
. > 2.
pp= n,3eops; < 22,400 ps : '
.. o. g.
DErLECTIOH l For def 2echon, conservatwe03 assume l the encls of the feoge cice ptnne d , l
- b. mn
- S w L" X=.276e# for 2 304 E.T or ee 34c'{ons.
amm = 5 ( *L H.3 ) (I4 Y = . 0 015 un c.Q \
3 B4 (2%4 06 )( .'t78) {
The obows bee def2echan t s Lg" per f oot of span . Thus, {
I a,n = q (q) = . su, <m L > . oois o,ch
,- 01<
1 l
HOPPER AND ASSOCIATES e o I
ENGINEERS '!
CALCULATION SHEET !
TITLE: k f75fDNSE TO bN C 6/2 N I '2.- DATE: M Av h Y PACE: 47 f
SUBJECT:
A tvA Lysis By: A . e. Cx: e suT: is - o, q c, '
l WEL.o - C nec t< :
The (,ea n e ce ges este bra 3ed to blae sheet noeb8 b !
3 1" eonq broges ctl 6 unelnes on center. l i
r v%
s- v v s, v v l
c
/
i The wePd recs cb on porca "i2w" ts
{
deternatned (vom, Rw = c d{
c=
.qss ps: , derne presss<e d= 30 unc t, , in butcv3 eengu g- O tecla , fem t h op duct tc4 km i 6 owe wePd 3 l Rw = (. '735 ) ( s o ) ( B)
- IBl fb
HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS Revision ^1 CALCULATION SHEET ,
TITLE: 8Fs PONc F T'O CMN r E /2 N 11 DATE: Mas 9 '( pace: 48 susJECT: A N Al VSIG sY:
A . P. cx: M sHT: / > OF 99 The o<P#ouhbee & cl ts caPc u#c1Eec}
from ,
Rn= {LFw
(. 047 0 ) ( l) ( 58,000) = 2 7~? 3 6 6 f2a = E ., 2773, _
.= lilo Eb E z.s Thus, ;
ec, = I t i o eb > Rw = Is) Eh ..
O. V.
FLANC,E LEA KAG E - C HEC M
\ 1=&%c e 2ea kaoe ust42 occv/ uuhem u t) the poPeotatog entena ts mei, F% g - Fm - Ft-Fp=0 when 3 Fmn = t% n. ii D?
4 n u = l 6,000 ps n , bcet make ap stress i
1z, # of b oets
=
ni .
Db -
%' , boPL dea meter
_ .' -- ~
~~ ~~
J HOPPER AND ASSOCIATES HA-5/94-0819 j ENGINEEOS Revision 1 ;
CALCULATION SHEET TITLE: b C-SPDN SF TO CnN c E tz N / 7_ cATE: M Av $ 4 pace: 49 i
SUBJECT:
k N A LV5 i 5 BY: A .E. cx: W SwT: / R OF hS i
I Fm = FTeour " At n i = 4 , # boek takwg tenswri !
Fr eomt = / 8 22 eb, p or /v"</v" duct in i 5 S'lem 43Ib-I Fp = i Tp
- IIf F rp = 25 B fb , f o/ 16 /u" d u cd l Now 3 t
F~m w = (18,00 0 3 02 ) i~ l 3/s Y - 23, 6 6 0 E b .
4 '
Fm = /82z x 4.= 7286 Eb ;
Fg = 25Bx /2 = 3086 Ph FL* 1030 Gb >
t 23660 '7 2.8 8 - 3096 - / 09 0 = 12 3 6 6 > O !
.. No fecke,ge.
i l
}4
HOPPER AND ASSOCIATES HA-05/94-0819 l
- ENGINEERS NOViS10n'1 CALCULATION SHEET TITLE: kFsPONSF m C_ON CFra N l7 DATE: M Ay 9 L/ PACE: 50 susjecT: A NAtvs /(: sy: A . L". CK: f,M SMT: i @ OF 49 ,
t 4.3 b ysTE M H 316- 6 '
4.3.1 _ / 7. 5 " O l
e,o u r - c s rc t< 5 i
The f orces proclactm3 t ension .:n the ;
.boets c> S e ,
l Fr sour =., Frm + FTr e Frp l
For t he 17. 5" qb d u c { , l Frm = . oint M [P 20) tu h e re, l MS Mow + Mse,s :
i
6 05 + 3 75D = / o,3 5 5 en #b 7
= b .
$$ f h n, f bcEh I5 i
F7p = 2_ 7 Eb (Pg 18 ) <
f Frmr= . Olv/ ( to,3ss) + 33 + 27 = 206 Ob The tensi8e stfess on the e nb ccid boet t5, pt = Freo" - 206 __
l 0 73 gs E < 7.0, OOt? fp3,'
A bel 11
..OK
HOPPER AND ASSOCIATES HA-Q5/94-0819 !
ENclNEEDS Rey 1510n 1 CALCULATION SHEET TITLE: RESPONSE -r0 C o N c g e r.; IZ oaTE: M Av $ V pace: si !
susJect: A N ALYSIS BY: A . E CK: /MSHT:. 2 O OF 4 0)
Tbe 5 hed frOm tof3 tomo 0 haomeb osMcl
.sheur [ones ts, fvm = 7. M x _~
z_ ( 0 3 .:: O nC 15 C 19 3 ,
Fvv = 3 0 3 -+ 3 0 z = 40. 4 e b
,g i ITy go, = Fym v Sy, = L(Q,Ll Q6 The stress, I ;
i pv =
40.4 , 3 6 7 fs! < 10,000 pst . ', O k
. II l
OeC4LAS-e b feS5e5 Ofe SO hO v0 , AO v194 C Eo c. hec k un terencitov, .
['
F~L P NG E - C m ec a For the IL5"d duct t v1 s3 stem tf 316- L,,
the companion cAv1 gees cwe ev,acle ap ;
of LW^ 2 x lY N !
6 T2ESS The sitess due to pressure ts deYermuwcl
.? (Ow1, fu = c1 r
,, , - _ - - , r . _ . . _ _ _ _ _ ___ _ _ . _ _ _ . _ _ _ _ _ . _ _ _ _ _ . _ _ _ _ _ _ _
HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS Revision 1 CALCULATION SHEET TITLE: f2EsPONs F To CONcFrN 17- cATE- [M Av O ll/ PAGE: 5'2 L% vs#
$UBJECT: bN ALYS IS SY: A . E CK: $ V SNT: 21 OF LO /
I fn = % 5 ('N ) ._ 5b ps,' < < 21, 6 00 ps,
. \2 5
,. O. L< .
As was shown earet er , buck 8tm ts not e . factor.
The s{ress ovi the gfanc e prom ime tensiPe gone on &e bolts ts e sit ma te d .[vo%
W' = F .32 r 7 n _ 20s x is gg TTC IT ( 893 "ck The mometd --
M = vd h = 52C.3) =
/5,6 tr 86/trck The stress per ev\c 2 of f ayse n, t
[=bb 2I
= I5.6 ( .12 5 )
q c,,zgpg) 82.
p, = eso ps, < u, wop.:.ow
. DEF L EC T1 OH A5 Clisc usseck previouse , cle{2ec(iov) rotAv1c\ se ck.rovas us s m cr20.
of l
b., . . . . . . .
.' . l
. i HOPPER AND ASSOCIATES ENGINEERS hyh OU i CALCULATION SHEET TITLE: k ES PON sE Tt9 C ONr Es2 N /1 cATE: M la y bV PACE: 53 ,
sus;EcT: A N A LYSIS sy: A . 2. CK: M M V SMT:_ 2 2 OF 46 4
\ME L D - C H EC L< i t
T he p8cm e em ees cure brageel t,o the sheet metc# 6 1 " dong becges !
3 cd e un c h es on ca nfer.
The useecl , re a cit ov, T
none 'lL'vms .
founck to be, h R ,a = 3B2 eb ( Pg 38) .
The cdlowc, bee ts cs eso ttoe savne .
as before ,
Rm = Itto 2h Th u.s. ,
E w = 2 B L t h < III O e h
.. OW. (
3 6
F l
l l
l
.- ..- =-- - - - -
~
HA-05/94-0819 '
HOPPER AND ASSOCIATES Revision-1 ENGINEERS CALCULATION SHEET TITLE: k ESPON SE TO CONCFIZN / ?- DATE: M AV 9 M PACE: FV '
susJECT: k N ALysis sy: A .I2. cx: MM sHT: 21 OF 46 t
Fu n sc,E LeAnnee - C H ece !
FBan e eca t<ac'e woff occur vJhe v1 the L ,
f OElocoon c.ctt ers o t s sabs{yeck, F mg - Fm - F4 - Fp = 0 where ,
Fm a = D 6, oo,o X i s ) iT ( % P _ z e gz t e1 !
4 Fvn = H ( 10,355 m -Eb) _ 2.I s o E b ~
I IS F't = HS5 2h l Fg = 27 * /5 = L/ 0586 :
+
b o, .
23,81/ - Il 6 0 - 4 9 5 - 4 0 5 = 26,79/ & > O l
.'. No Pea %ge i
i l
l 1
l
', i i
HOPPER AND ASSOCIATES HA-05/94-0819 j ENGINEERS Revision 1 ;
CALCULATION SHEET '
TITLE: Rf=sf>Or-ver r-O C.o r 4 C FerQ ll DATE: /dAV 4 PACE: 5,7 f susJECT: A N A LVs /S sY: A . 2 cK: A M sHT: T Y 0F 49 .
i Ll.3.7 / 6 "x /6 l OOLT - CHECK The g o(ces proclu.ctag tension or E he :
bOEts cwe, FT sect ' Fr m , Fr7 t FeT For the l il'x 16 clu ci , i s9uan F 7, = . 016 5 Iv1 ( Pg is ) ,
where ,
M= M owe M sris
=
G B + I5+ Ic e70 + 1HO =. 11,063 ev,-Eh i Frm= 016s ( #1, osU = 103 e b i Frr
- 2 5-- 67 5 _ 3g pg n ,6 boets = I6 Frp = 3B3fb (Pg 28)
F Teour = 163 + 3B + 3B3 = 6 0 E -d b '
The tensi8e s Eress cvl the cnEtccd :
boOE ts 3 i ft=j'L';s - 6 5
.II
= 5 500 PU < 20> 0 O Psi
.'. O.14 l
. 2 I
HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS Revision 2 ,
i CALCULATION SHEET llTLE: 8EsPON G r'o C O N e e te rJ l2 DATE: M Ay 9 Y PACE: 56 l
SUBJECT:
k N A t.N S I 5 SY:
A . R. CK:_ JJ4W SNT: "L 6 OF 4 C)
The sheo<r provv1 torstono @ benc} m and shear f orces e s, Fvm =
M s me i Z s' Ts'= 11(i]s{_# q (E ip s = 1531 #
Fym = ( s o S + zio) (" f ) ; 5eb I 3*bt Fvy = 674 36+302 z6eb
/6 >
Fveot.r = Fvm + Fvv - 5 + 26 = 31 66 i The stress on cs boet, 3I ;
pv = .,, = 2 e t p s , < u o, ooops, o. w.
CA can ; s mce teWSIOe cm s hem / ;
s tresses ove Eova, there es no ver3 ewecl to c heck tv,terac6 on.
3 L
h
..~ .. .
k
HOPPER AND ASSOCIATES 05/94-0819 ENGINEERS Revision J CALCULATION SHEET '
TITLE: bESPOrtE 70 CONCEcr4 Il DATE: bd AV V PACE: 67
$UBJECT: b N F\LYS 7.5 sy: A. 2. cx: @ SHT: ? 6 OF 99 Fu A Nc, e - C sece< I For the i 6"x /6" d u.cd tv1 sgsten1 4316-6,
, the comjacmi on can &s are made v.p of L i15 I'L %". >
5 T T2 E= SS 5tlesses up fec es cwtse fronn un terncJ press ure -Cocs dwig , a cita >
o v e r' in buta/ cxrea, gg v) Ebba gp
( qw + o a w a, e ea3
'n V*
Qt ?)
/6" t uJ = (. 7 65 ) (30) * . 3 B = z.4.3 E b /,ack M g = u; L' _ 2 V.3 (IG P - SlB en-Eb
- 12. t Z-Fa - uJ L -
I S 5' Eb , mackngram the 2-ather gecwy amfe The stress ts, lDb = Mp n
+ Fu A
- - . . - - , . - _ - . . - . ~ . -.
HOPPER N SSOCIATES h94j819 !
CALCULATION SHEET , 1 TITLE: kfr<;PDr456 TD (,Or4 C E Er9 [1 DATE: M AV O Y ACE: 88 ,
susJacT: ATVALNSIS sy: M. SHT: 2 ? OF % ,
uJhefe, r P
Q * . 2. b 2 L M , SE C O V) MO V MS Ae 1375th' I 519 + IB5 = 213Ogst < 2.1, b o O aj s , [
Pb = 26z l.375 :
.'. OW i
i The stress on the peamge from the ,
bo k ts cm2c ulcnteb f forvt ,
\N' = Frear - n i
'f :
nt = s , # bofts b l<g tensi on :
L f = I3"> fu2e Bength q f a2 nge v) = 605<5 - 16 0 2b /,m A
/3 Tbe moment (Jer ev2ck o Bamc e M = h/ h = 160 C.3 ) =
v s om eb /t4 The dess tb pg = FA L1 = 3 6 ( . 2. 5) ?
- 2. t t L.2sy(O ;
12.
o , K.
gf=L4ero pm < 32,900 pst v)
- * ~ - ~ - - -- e
~
. ^.
HOPPER AND ASSOCIATES HA-Q5 ENGINEERS Rey s/94-0819 lon I i CALCULATION SHEET , j TITLE: E: s P O r4 S E TO CONC 6EN 17 DATE: M AY 8 4_ PACE: 63
SUBJECT:
A N Acys 15 BY: A.R cx: & swT: 28 or 49 >
DEFL EC TIOr4 For def 2ection , c.onse(vuttve2 as.savne t he evtd s o( the f ecange cwe p unnecl, l 1
o mm= 5 w L" !
384 EI 1: , 2J7 6 tm " ; [of '2 a vi 8e secbsons a%m =
5 ( 2 4.3) ( 16 Y _ ,ooz6 toch 3 8 'l (t%t06)(.'276) "
The aeeowdee defeecitan es, a aII = vg( & = . I6 t<c k TbuS j o mm = . c o t s onc k < .16 m c k . * , o.w.
w'ec o - C s ec u ,
O<3 caGcuecde A previouts@ %e foxd befow acdtvt3 on he weed ts tHe cdfat.acsher, R w = ISI R b < Ra = I(to 26 ..
O. V.
HOPPER AND ASSOCIATES HA-05/94-0819 ENCINEERS Revision >1 CALCULATION SHEET TITLE: ke5 PON sF ro Cora c Frrev /2 DATE: ?-4 A v h V pace: 6o susJacT: /d N ALYs 7S sy: A , E. cx: l#sNT: I B OF y3 i
PLANGE L emva c,e - C se c u e F8anc e feakace wtd/ oc c tar Whevi U v ,
t.he fop 8owtm3 c.rt tenm es .scxit.sgieej. ,
Faw-Fn-FL-FP=0 :
v;he<e, -
F~m g = (I s pod) ( l b ) Ti ( )L _ 31, 60s eb 4 >
Fm =
Frm 7 n{ 6 D5 5 = 30z5 Bb Fg =
3 8 3 < /6 = 6 : 2 8 f b l f~t = 625 eb l
Thus, t
31, 8 0 s - s o z s - 6 i 2 8 - b? s l
= 22, 03 0 > 0 ..
No fea kage 1
i
, --ur
,_7 . , . - ,
HA-05/94-0819 HOPPER AND ASSOCIATES ENGINEERS Revision 1 !
CALCULATION SHEET
' TITLE! .hf" GORE E TC CONC E CrV /1 onyt: ful 4 y d 4 pA(,g: 6i
SUBJECT:
M (V A I Y 5 i C. sy: A , 2, CK: f/W SHT:._ 3 O OF 49 M S YSTeM 4 316 '7
- 4. 't. ) / O"() .
GocT - Csecx :
The f orces produceva f ensoon on the bo2ts ofe, F 73 g,7 3
, Frm + Frr 4 f re 2 For t he l e " cp d u ci_. , i Frm = . O r1 S M (Pg zo) where 3 M =
Mow t M sels
=
S S B + 6 + 9 7 2./ o-t 2 6 0 =
'7 3 0 r? 4 to -86 Frm = . 012 % (1% o w ) = e43 fb FT r = Fx = s'12 9 = 90 eb l n,# bolts Ib .
Frp = 2.7 66 ( Pg 7.8 3 Frgoa = SH3s3O+27 =
1060 2h {
T h e. tensde siress on the ceckccd !
bott es, !
p! = Frsar = /06o = e 6 3 6 a.st < z o;oo o r r,'
f bbdl Il
. . O l4 l
1
'l 1 l
1 i
HOPPER AND ASSOCIATES ENelNEE25 HA-Q5/94-0819 Revision 1 ,
)
CALCULATION SHEET I
- TritF PcsvoNSE ro _ C o s g,c p i7. care: Mnv d v pace: st sus >ECT: A N A ty s /S BY: A . e . CK: bh SMT: %/ OF 43 i
l The shear f rom torsionc28 henc (Mc j cand shear .f orce.s us, ;
Fvm = 7 M v _
'z ( ~33/+ 23o3 .g y Eb j nC /6 ( te .s ) :
r Fvv= 26tzS+ 460 __
338b
/6 l Fvgoa = ul + 3 5 = 37 Pb r The stres s. on boet, pv = 3 ~1 , 33 f ,o si < 10, 000 ps, ..
OK
. II Ibec a v.se sk resses cw Eotr> , no AMb to c hec l< cntercicb on.
t h
Ft nsae - Cnscu For the IB"$ duck te sg. stem 4 316- 6 , !
the c.ompc,nt on cxn les cve macle up o{ L 18."x /4"4 14 " i 5 T 12 Ess The shfess on M o Ee d LA e ho preswff <
L5) '
f14
- C' C ry l i
HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEEIS Revision 1 CALCULATION SHEET !
- TITLE: Ofr %oON ,E ra f oN C e cr4 /7 DATE: M AN M PACE: b3
.i f
It:sRC7: .. A e a L y3,s , _ __ sy:
A./2. cx: )Jtdo sur:nor if c s l
i i
/6 T 995 l fri= .I25 2 J _ 5g pgl c < 2s, BOO ,og, OK i
The stress cm %e {'ecmge (men %e tensde . force on the boets es estr wateel { rom, )
w/ = Froocfvn r _
t060x /b _ 776.O Eb/m TT C n <is.5 3 The mom e nt ts, ;
Pl = M/ h = 27 6. B ( . 6 )
- 63./ Le-86/gcj)
~The strest per ec c k of fem nge u s , -
pg = M Cf _ 83. /: Ca2s3 !
- 7. Z ' 2- ( '23$l' )
/ 2.
=
31, 9 / 0 l ( 3 2, 4 00 ys .', Ql4 }
i e
C '
-w
. '. i HOPPER AND ASSOCIATES e on l ENCINEERS CALCULATION SHEET ,
TITLE: 2f=sPDHsE ro CONeseN /7_' naTE: MAy 4 Y pact: 64 l susacT: A N ALYs is, sy: A.R.cx:11/ W swT:M or_ q s i D EFL E CTI ON Gs rnenkOnec pre vt ou s8j , de(8ecdod O{ (OtAv1c- Se c( L OVI5 L5 s rn d.
, WEL D - C H EC i<
Tbe feanye cw ees are bro e c. to the shee{ 5m e i oi f 6 /"
OA. enier vc< Gs dovi]d B " on ce er.
brage s of The uJeed reaciton (oece ' /2 w' voa s
{ 0u v1 cl -Lobe, Rw= 3BZ eb The oR >voo b8e t5 cdso the same a.s before ,
Ra = Ilio Eb i Thus i R w = 3 8 2 S h < lilo Eb'
..Og
~ ^
' i I ,
HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS ~ ~ Revision 1 CALCULATION SHEET TITLE: kFSPONGC vo CA esc e e a 12. pare:__ A on v 64 pace: 6s l susancT:-- A un t.vs/ s sy: A ,32. CK: M sMr: ' 34 op vs l
[
FL ea c,e Lenwnae - Caeca i
FFarge .eea l< age wife occur ushen j the po2Po vv en entena t.s, ge l ts ,p ) ,
Fm u - Pm - FL - Fp = O i vJ he ff_ ,
Fmu = 0 6, 000 ) (.t U Ti l 3/s ?
_ 5I, 806 $b :
H F~, = 4(7307'/) .__ / 4 , S e c -E b 1%.5 ,
F6= 1 4 2 0 -8 b I fp = 2 9 x lb =-
H 32 4b i So, 31, b 8 0 - 14 , SB O - 142 6 - H L'L = l'1 Bse > O I
. , 0 14 !
i i
l
, e , , - - - , , -,. , - - - -
. 7 , -. .
HOPPER AND ASSOCIATES HA-Q5/94-0819 l ENGINEEDS Revision 1 CALCULATION SHEET TITLE: kFS PONSF -ro CONCERN 11 DATE: MAY V PACE: bb sus >ECT: A N n t_.vs i s sy: A. e. c : Sec ,,T: 3 s o, .4 e 4.9. z /6'x/6" E '
i 6 0GT - C Hec u '
T h e.
focc es pro d acm tens, on on the boets a re, '
F7gour = F Tm -r Frr- Fr, !
E I,e For / 6"x / 6 "
.sguaredued, Fra = 016st4 (Pg 18) uJ\v a, ,
M= M ow + M sses
=
I B O + 2.O + 6 7, 7 0 0 = 67,900 en-eb l Frm = ot hs L 67, S oo) = 112 O lb '
Fry = Fv _ =. 077 _ 5 5 4'6 ;
n, #/ bofis /6 F-rg = 393eb (P$ 28) t Frecur = // 2 0 + 55 + 3 B3 = ISS B #h The t. ens, ee stress em 1.se cet<cmo 2 bO N ts, fl
- frecur 1558 / 4,16 4 psi <2 0,000ps ,'
A boft . Il !
. . OK ;
1
.. . . . . . _ - - . . I l
7 HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS R3 vision 1 CALCULATION SHEET TITLE: kPsPONSF -r0 C13 N C EEIN I2 DATE: MAY V PACE: M susner: A rvn t.v s, s sy: A. ra en: t ut e sur: 36 o, ye l
l The chec<r f com torsionce bendsn3 and Sh80d f o( LeS Lb, Fym =
Hs-2 S* '
T5'= 154) LM , As Was ccafcu8cdeb '
earber. ;
Fy, = ( zo, o) ( O'y) g j p3 l 15 h I i
Fvy = M + 6 8i = 45 Pb Ib i Fv eour = Hs+1 - 4 b 2h i i
T h e_ stress on c, boetj !
46 920 psi < i g ooo rsi . . ox pv =
, il t
evd.e(ace. on i CHeckwl0 1% lb4 a 420 .= .95<l .'. OK :
20,000 (0,000 i i
L t
I I
i 1
i HOPPER AND ASSOCIATES HA-05/94-0819 i swolNEERS Revision 3 l CALCULATION SHEET !
TITLE: kFS PONS E r0 CONCEcN /1 DATE: MAv 94 pace: 6e :
susJECT: A N ALYS#q sy: A .12. CK:. @ SHT: % 7 OF. 40 j Fun mas - C necw :
t For the 16"r /6" duc{ cn s stem 43 6-7, f s i the conqPan'On SMjees are ence cle u p .
L I 4."x / M // / ,
o{ '
r STE f=55 !
The voetqkt per trch acbgv on the i U :
(Fonges ts, i r $'t "* ~ l u) = c.ses X 344 3 s =
zu.3 -E b / un c h !
The m ome nis ovi cl cdf, the f orc es j j
Mg = u) L t
_ 24 3 (167 , 5/c3 tn-#h l 12 /1 i Fe - vgl- = z 41 (I6) = / S5 eb !
_2 *L r 1
rhe stress ts pouwel (com, i 4
2 A .
~ ' ~
._ .__ __ ~~~~___....____ . _ - , __ ,
ONA 'SOCIATES gN NE RS g-0819 CALCULATION SHEET ,
TITLE: EEsPON5F TO Cc NcER N MI A V b9 l'2 _ DATE:_. 9W V PACE:
t sua>ECT: A rVA LYS/5 BY:
A . E CK: hdk SHT:1 0F 4 C) teJhere, Z = .2 62 in' -
A =
i.375 t n c hv l i
p6 = SIS + Iss = 2:30< zl, BOO ps, i
261 1.375
.'. OR I The .
stass on the fean e from Lke boets us 'ba2cudatech f rom, i W = Fr,scur < nt Lg ,
n1 = 5, & boel.s tca kte tension Lq = lS", fvt22 Gen th S of f c<n3e W= 1558 v 5 .-
4 1 0 2 h j', , , g i
ls l i
The moment M - Wh = 4/o(.3) c unc- h ofG f anj~e,
=
17_ 3
_ tr -eb /mc Q l
Thc stress ts, j](
==
WI br 12. 3 (. 2. 5 ) I
- 2. 2 ' 7 (.. u P i
i1 i
pp = u 1, eio ps: < 22poo ps. ..Ow
.,- 1 HOPPER AND ASSOCIATES ENGINEEDS '
CALCULATION SHEET TITLE: kFsPONSE To CONCFGN /L DATE: M AY 6V PACE: '70 J
SUgJECT: A rd A Lyss G sy:
A . /2 CK: /A M SMT:XOF_ 46-1 DEF GE C TI ON b% uJOS Cot Oc LA 0cr{e b fof QY lnef .
I 6 x lb" , t he oBowen bk dqfecbon (
C ntencr es me t , cr s s howtn on Pg 5s a mm = . 002 6" < 16" = oan .'. O L<
\A/6 L D - CHECW C^ s c a@cu fcAte c\
gr+ v/ous 83 on />g47,the e ccsd esci tvio on the u>efcl ts befow th bowcx bec, Rw= i s i O b < fdc. - ///o eb .. og
HOPPER AND ASSOCIATES HA-05/94-0819 l ENGINEERS Revision'l CALCULATION SHEET TITLE: krspoNse To CON c Fe cJ /7 DATE: M A9 k V PAGE: ~7 1
$U5 JECT: A N A t._Vsi S BY: A . E CK: l/h SHT: LI O OF 43 l
l 1
Ft_ AN es LeAuAc,e- C H ec t<
Few e Rea kc e c <t hern cn es, F~my - Fn - Ft - Fp = 0 v)hef(
Fm w. = Ci e, oco) C # 6 317 (. 3/ef _ 2i, eos eb '
,- 4 Fm = Frear>nt= 1550 x 5 = 7790 eb Fp = 3 83 x 16 = 612 9 Ft = 977 eb Thus, 31, 000 - 7 7 9 0 - 617 B - B 7 7
=
19, on 3 >o .'. 140 2eavoge L
5 e
I
, , i
.e. e
1 _. . - -
. l HOPPER AND ASSOCIATES ENGINEERS 3o j
CALCULATION SHEET TITLE: Ir e.O Dr4 S F T'O (Z)N cFers / 2- ' DATE: Mpy bV PACE: 7E
$UBJECT: Arva cys,s By: A . e ex: (AV . suf: W OF 49 4.5 A N c,t.e To A rv G L c \ DEL D - C N E C 5<
In the recicw,gufar ducts , the an 2e erov1s, the f4%vige, cc mf<t s e n V cde conne c t e c\ a s shown be0aw,
( m }~s LL G 7 WELD
(
- JJ e
, f ..._. .._.
For L l h x I-Q x kg a ng ees ,the les 'Lh of uJe$Ck O v1 ECrl N 02 L3 2 = l Q- hi -
lM" For comervoNs m , t.t c m be cxssamecl t%t m untev,v m a GPovam bee vjeed tbtckr,ey, cs. 1-g",cr.s re cowsm ende d b Ausc , 3e cison 3 2. 2. . b. .for 4 ' tkc.knesc of maleaca2 3ou ete cN
--m
l HOPPER AND ASSOCIATES ,
HA-05/94-0819 ;
ENGINEERS Revision 1 i CALCULATION SHEET YlTLE: fE asporwsE TO IM rVC E cr4 /2. DATE: /U7 AV t/ PACE: 7 '3 '
susner: A evm.ms ,y g , p cy, ,,4p ,,, ,, , , ,, ,f ,
O ss a mtun ov12 ovne Eec>
of the welc]
ts eg e cbve ev1 (es t st t m benchv ,
t he '
Poac[wic, on wefcl can be tdeaetge c} As f00fouJs, i snene e,enomt,
%~ fl
~
v -
l The /6"x /6 clu ed votf8 e vpevteace the forgesi
'F', the k comes force tytterncut fcom :
pressee bercl ua the gecmge. as was !
deteratuae cl ealete r t He momen $5 ant]
the f orces at the edges og the -l f ecmges Me ,
Mo=j 5/8 t.n- Fb (Pg S7) 6 = IBE Eb Seccause the fecs,c e constsks of Lwo cwcees, the. 400 d ovi ecscb1 Cw1g8e tS,
' '~
. . . - . ~-~~.~ ___________.E______.___ '
HOPPER AND ASSOCIATES A-05 ENclNEERS ReVis/94-0819 ion 3 CALCULATION SHEET TITLE: .... .. kES 90NSE *T"O bNr 6/2 N I2- DATE: M AN .'9 V pace: 7Y \
i SusJECT: b rv A L.YS IS sy: /4 2. CK: $/# SHT: 4'4 OF_. 49 i
\
Mg = EIS z.
z6otm-Eb !
Fh = 19 5 : Ca 0 e b -
z.
1 The foncl on the welcl es , i Rv = F, A _
99 . 90.4 Eb/tnc h g 1. 2 s -
R3 = Me c I ,
vJkere c - 1 2 s _ . 6 z s !
2 I 3
I - 3 15 = , a z. 7 to v Anyg , moment og merLta ;
l'L 1
per each of thnckness Of vJefcl ,
e r 2 soc.52s3 _ ese.9 a !
./627 The. resuftomi porce ts, 2n = f(esh (af =\h e.4 *
- se 8.9~
/2n = 1001 Eb / tec h >
{
The offowa bPe we8cl st(ea -bla u, Rnw = . 3 tw & Fga ;
Of .
e m = .4 tA ry l l
l
HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS Revision 1 CALCULATION SHEET , i TITLE: kE.5 POrWG rd CnNCprN 12 DAM: M AY O V PACE: 75 1
susJect: AN A Lvs a s sy: A,e. cx: r # e su r: <</o, es tw = % , %=M", 2=l.25" ;
Fexg = 9 0, 000 as y t dest stren th fof u)ekl per E rt ep to , spa-s.1 J l Fy v 3% 000 ,osl , for base met.o e ,
l T hu s the cJJowc, ble t s. & mem msm l Of, '
l Rno = .3(i)(,'707 )(r.zs)( k70 ) = 2no th !
2n w .4(4) { t.2s ) (. 3b ") =
4s00 eb i
50 !
%e /00 2 < 2320 8b . ,
~
O tt !
h f
I i
i i
1 l
_ I
HOPPER AND ASSOCIATES HA-05/94-0819 !
ENGINEERS '
Revision 1 CALCULATION SHEET !
TITLE: 8f 5/te /4.#f ) (CacrQel 12 DATE: /4Y PAGE: ~7 6
$UsJECT: A:/LW fi sy: E/ CK: kMSHT: / 6 OF t/ 9
/
i
\
- 4. 6 FM760C (cd5torusioa ';
POR Sonic. A msg, r+nWE EVAs.uefied is 95v eu.9 acrr ,
T Pritrv e rt) , bout , t>C TD M At>J/'t. int F*rl , FrerJ SM
\1P wse uksC CHC.uc t.atOn 4 tr Crs yG >
- t. % Dx 1b ie4Tra un t>a cr,,,soM,
- 53o7 W 3of ?
'O'C f. At ru v M 2007 thoCr r h%t*t t Trp ChMD D{
o n n .e rs %. Pe c: . s e r" (R*rJ S TMT~-vf') is .*
l t
i F,~ = 38 3 to f rc 3. 3. I Pce i6.] \
i BoL~l' OfA t 8 '
WTh2th bp,3 hl0 0b IN (Ntr} )H'.[A ) { h Ib(, , & gQ k*l4h totr sren s, 0 ,~ = f/h r
= 3 6 5 tes/r.o78 in ' l, Q = W/0 .pc :
1 TkE Msarnos LMt rYO PAT it ecd
- Mouc0 Be" Duc To t80 taTreaM -
Paisi.iC C, n.>p P'i conoiner ucx0 er CAIL.1 Iron, Pictokusacr CF 'fKE PAT. Std(( TWC Ac7D$t- Petw> rs nor hhMli', TVE sum,a co aSct v*n st' C4cuc. l.c%i n r' Nd@ II -
-. ,_ .. .,_ . . _ . . - - . . - . . . ~ . - - . . - .
. . i HOPPER AND ASSOCIATES M-05/94-0819 ENGINEERS Revision 1 CALCULATION SHEET TITLE: FI3/bNSE . 7D (c rJ c ctr eJ #2 DATE: (/M W PACE: -77 '
i susacT: A Avir s sY: LL/ cK: h[ SHT: 46 OF '/9 ;
SmaS An1PUTvDr*,Ss=f6;#
5 ,.M4I<e ~ o. rst 1
S=_ =R465~.gc (sect) i TW FMS Arc .s r>u rg y peow ucc m o a m c~1 [ ri ] ;
TW liem e>17 ecturn .S M T vr //g : ;
.a i
A=t 2 Pc e Hsy m ( 12. ex i. r s
-% r - sr .- )(40 %,u: sherwur ) ;
%0 c v !c5 5
R4 / x 1 O ' C YCt.ft i
l l:SJ13 d(r t IHE lowc: V G r. +rd rf A *diht r A L f~e n'. ?cu1S,
?
04 % fSI lb irJh% $4'194 TW 6 CH DJ2.A 4LC u,w r fee caceca snru.. Atruf 4.G.I E I2 , ne z-9. I] -;
AWodSNW FFT7Fvi C o# vE'J Fr4 (M00,J,ww sttey, A4 -!
HieH m 1ox srvas , !
floM *i>15 ' htT)6 sir Cul 6 ; T.I.S OBvioJ S FM7suc i <> up r / 50%t &,
1
. e l HOPPER AND ASSOCIATES -0819 ENCINEERS g ISion 1 CALCULATION SHEET TITLE: Rt3PbeVA 73 (n . g g.,, .t e4 ?? OATE: MAV M9 PACE:. 78 i
$UEJECT:_ h s Atat' % !
EY: LL.Y cg: MWf5HT: 4 ? OF 49 i
l 8*""*"*
APPENDIX I g, 3 9,3 l lr t'
I I
Ii l (I
% E 9 I
- i U
1/* 0; I1 5
// 3 5!
2 u D
E.h t
I s*
g%^ o -
y
= g 3 .
I
{ ". 51 j 3
i i -
f -
5 g,9,IiJ .,
/'
f '
Egff g k~,
i a a ga!8 I'
m
'l j!E $
//
// *g 5'
/
l- ,.
- . y 1 , a 11 a d i zi ,2 - ~
rf I I; '
I
/ ,/ lo II !
/J a:E i RV a '
/ :.EEi
) . *!
r, ] ;
b 1 } e
..*s . m t
Fl(r uCE- Y. 6 . l
{/L ] {
.+wesswe * =
- NN**N*' * - - -
. 4 HOPPER AND ASSOCIATES HA-05/94-0819 ENCINEERS Revision 1 !
1 CALCULATION SHEET TITLE: f>c5A:v4Le vn (oncevr ej 17- DATE: /MV h 9 PACE: ~7 f3
SUBJECT:
hJhert BY: LL/ CK: Y SHT: 4G OF '/$
DJCTitJ& F%71 Crv t-"
.$ It\ L INTL Y, f4 C s>JLD e4 (r f"W (tvI, ( $6]4Dist($ /ml14L45 f $ )
54 = vb - s,a 2
t'rto iv /Wst/Abtw N99 - SO, Tuc NAnru aM y,'c e n- ;* S m t!.s WJuc0 Bf 0. [p $ kV THf 3 Ass ut.vum sntas avl.D El ? M O.
LW Gesu s 0,&5
- S.b [% !
L'S0 *- Jo 6 KSI r
% ,e c o 21to - D 5r s -
E
- dp6 g,,, ,
r Sr - 10.9 Ec/ c OvCmo)
A ' *w, Rwin Rwvei 4. G , l, Ar gs is o o 5 c ytegS, up 5, , gg ygg, ;
' N E O *J O WO1,1f IS NCf A to m e t e.l .
NDWLL% M 6VI' /$ / C0rJC6d a/ Ssc d > /0 Y G ,t //g _ 4 /0
, (cow cyc g AmM.'- tc.c ) f Amuc is o .ut.1 s cc u .e.u was cum 5 m e e .yia n.. !
b4 NOK ML Oft e spod , a n C L J Dr~ O R[ & Cfst McN, N C bicJ)tJ F
.Ct106tL p W CVJhthED '3 tT c W ti:n Q ' M D I~r102-t fe~ttF" TMi h%
WD (MLLL% WDLL fibT l%' C Y Df bc" e hl (A Q ed 6Y-h W l
[ 0" Wi OJL n tJ f.
HOPPER AND ASSOCIATES HA-05/94-0819 ENGINEERS Revision 1 cal.CULATION SHEET TITLE: RN/h% TC. /onc a , ) 12. DATE: / 'd Y 'N "8
, ACE: BO
SUBJECT:
A A>/ 5 ' ",
BY: LL/ CK: NM SHT: #'O 1 OF l /#)
StA27 Atncrur Stivuusttv foA tJctD M&VC, To:( ft.rtet ram tr :-ca n W Sc AssvM@ 10 9t ~ 7er p.vc n 7Hr psc na cr , Sr - D.8/o/.
4 ThF bJL T1H (! SffL CAUcJT FDA. Ytfi" }%.'.A W .k W# 'L CCnSi
/.0 C / C". G l I ). TML bnE gorten is Pt:e.is .tr /izcs L topC, setnord 5 , 7 m r C. - A v sr.ts M oncu pet $#A S~ co wn,crf
- , t)mncm. 7p Ad /S.co..
SPA S.4, GosrS h4S /.tE( W t/1. PeoPm74 Krco.its>1mn rW CCuSi. Thr At:4 TL w a .:?oc e s o v r S. cr l%,
An Apu n ne.JL Nf,tt c.acill3 Pf/Z2-Bl.] GosG A A+ved .strce v.rn/
FDrC EG $i (Stutod Sewn $) Af fooM nm&t#%CC"
.$g s 19 K$1 M 300x /O c Yctc5, i fe,< R4 /DOO, FnntrvG cf Dff SO-Er Jotn T* /S tt o T~
/ (catret4, f'Cr 4 (p. 2 l
l DtmMoss :.T'Hoa P.>rLPuu s cj>s , M:autsS t%. em, y-(.*Ct.& 1 ,
d -
%== .
Ib %
)
' t $ KC.1 !
zo ~
~
,OS] ,
,, e %. StAtr a '
k 4 iot i e t. tot toi (o f, 10 6 10 7 4.6.2. hoasmnvr r+neruc ce4C fe4. c:ura.s pena 2r
}. .. - - . - . . . .
gucfug n's' ' '
o CALCULATION SHEET ,
TITLE: EGSPONse TO CONcFizN / 7- DATE: MAy 9 M PACE: 9I suancT: 50 Coscousions Y: A, P cx: VM SHT: I OF #
C ONc L tA St ON S in t.o Doc,lce$
fe3fonse ou LA . 3. N.re. c .
50-39/, the 6 tra cturote en te es t ,
cut tightn#ss oncl gattgua sfrem th of transverse 3 otnts of aact sgstevns 7-899-3 ; 4316-l,,,43/6-6 o n ck 43/6-7 u>cx 3 tr vesttga te cl .
It u>as p ou nc)t h at cd.f !
compone,ds of the transverse yotnis en e e t t b,e a20av>abee s t<ength recgvt<ennnis as set f orth 63 appetcabee Codes. It was aP3o determenecl thcd a conservmttve i feange Reaua e c< stern a taas sa ttsfiec b
3 ape s3s tem.s , Meanen , atr ttehiness j of the transverse jotnt tat e no t be !
vuotatec!. Basecl on the expeclec!
number of footdta e cees on the ducitr s3s tevas, gat,gue eqe o( the tran.sverse yount ts n ot exfe cte cl to be cornpromt se cl. ,
m -
. t HA-05/94-0819 HOPPER AND ASSOCIATES Revision 1 ENGINEERS CALCULATION SHEET TITLE: kFS PON SE TO CONCFEN /2 DATE: M AN 0 3 N CE: 8E sus >ECT:.. _ 6 . O Rea es?eNcs s sy: A . I2. cx: /WsuT: ' OF 3 Reveeenc es I. Robert Itsa compc.n j, " Da ct Con stetA cht on Groc h ure Ennco Ferrvt t Atom ec P. P. #2. 3071-]C4-Tjpel' IEdtson Ftee G B- 6 66)
- 2. Hopfer f Assoc t otes , " St<tratarcre Evo Pu oit on of Ducien3 53 stems 2048- 3 , 4 316-1, 4 316- 6 , 4316-7 ",
C et ent. .
DECo Ferm t - 2 , H A - 05} B5 '6S 6, M a] , / 3 B S .
- 3. Materto@s En eneefon ,"1SSI Materio fs beEec{o r ", A Penton Pubetcatton,
- December /BB/,
4 S m oth ( Var; Loan , " Pt atma em cl Pt pe a .
_5_ oport Ss stems ' M c G rcrw - H t 00, Ii Q IB B7
l HOPPER AND ASSOCIATES HA-05/94-0819 ENclNEEDS Revision 1 CALCULATION SHEET l TsTLE: RESPONSE ro (na c erzN l?- DATE: Mnv S v pace: e'5 J SusJacT: 12 G F E E E N C F S A . E. CK: M BY: SHT: 2 OF_ 3 i
5 Soav) , W. C, , " 20ca r l< s F o f m r.s A o s t' o r Stress onc} S t rcs t n" , G *>' E d i b o n, )
M c. G m vJ - M t 8 8 j /BBS.
6.
Alsi, ' Cofd Fornaed Steee Desig n Ma nucs 0," A mencenn 1 <a n cnn cl Steel I nsttiuke , 1BBo. s 7.
A w'5, S t eac1urae h/e 8d t n]Cocle -
steee " , DI.) , A m e <t c coa Wefcl s n3 7 Soc.ici ,/sB3.
r B. Al5C , Stee8 ConstrucSt on M a n u ed ','
B U Ecidion, Amencen .T ns{ttute
- of SteoQ Constrackoov1, IS BB-S. ASM E pJ 5 0s - 6 0, " Mic2ea { Pov>er -
Pean { Atr CPeantng LAvitis ctvt c, Componeetis , Ameocon Socie $
M eclqa n( tct0 Enc tvief rs , IB B O.
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HOPPER AND ASSOCIATES S on ENGINEERS CALCULATION SHEET TITLE: k F5PO N SE -TO CodJCFCN l~2 DATE: M AY _9 i/ PACE: 9 t/
SUBJECT:
bGf:EEFNCE5 BY: A . E CK: SMT: 3 OF ~5
- 10. AsME, Vessef "I S S2. Bodec } Pressure Code - Mcd.e ru a es , Part C .', Americw Souei3 og Mec honico6 Erg t neers, isez.
II. Te8 econ , Phiesp Hcss rount wtil, Derve 3clx, D E Cc Ferme 7, Ma z_ , / 9 9 '/ ,
s2. A S M E ,, I S S L S orfer cm c\ P re ss eue VesseP Cocle , Seclaon 2 , Agpenchx I
- 13. %1 t the0s Metcres Ref erence Book, e d. b E. A . t3ce nclo s , 6 2 Ecltiton)
Butterworth Co Lici , Lonclom, 1003.
I't. Tt m os h+ n ko , The o ry or Peates cd d '
S hee 8r ' , Z "4 E dition , /85s.
Is. Desc n , S.C et. o2. ~ 5tracktoe Tes%3 of Setsm t.c Cc,Legof3 7 HVA( be c$ b p u Mtsif C ivie Foo nieerirrc< ancl Nuclec.r Fou>er, Vof.1, u 3 '
A s C E , 1 B 0 0.
. '. Attachment 9 to 140PPER AND ASSOCIATES NRC-94-0050 sNcinses <
- I 1
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i DECO - USNRC DOCKET NO. 50-341 FERMI 2 CCHVAC DUCTING SYSTEMS CON'CERN ITEM NO.13 EVALUATION CALCULATIONS i
Prepared for: Detroit Edison Company Nuclear Engineering Fermi 2 .
6400 North Dixie Highway l Newport, MI 48166 l
Prepared by: H 3pDer and Associates (
300 Vista Del Mar Redondo Beach,CA 90277 ,
I May,1994
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HOPPER AND ASSOCIATES i- ENGINEERS l CALCULATION SHEET
,. TITLE: kESPONSE TD cot 4 C E(2 (V 13 DATE: M AY OV PAGE: L
SUBJECT:
TAfA L E t9 F bONT6N TS BY: Ai T2. CK: Mld/- SMT: ( OF tb t
TAet.E OF Com rem Ts i
- 1. 0 I NTe o c u c Tr or4 ' i i
1.1 P eostem S-rATemes T r I . 2. E m ussrf G A Ts OH APPROACH 2. . .
13 R es u t_r %.Arvimmey a !
- 2. 0 .54 STEM DESC RIPTION 4 2.1 L o s oirtx oiN AL SenMs 5 l
Z , 2. M nvee:Aus 6 i
3.0 A s At_vsis /A PPitO AC H 7 t
3.1 A ssu rwPTiONS 7
- 3. 2. L o Aos 8 !
3.3 A N A LNTic A L losA cit ATi ots /5 i
. 3.3.1 E A RTH G u AWE -+ D E AO wet cay T 16 f
- 3.2. 2. Pc c ssuee is
- 3. t1 E v ALueTiON Cos os TION s Ara o 22 !
CeirreiA ;
3 . 'i .1 A PPL i c A Bt.F. C O D E5 AND STA 6 eD s ZZ. !
3.4.?_ G eAze STecucTs CeirceiA 2.2.
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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: @r5FONLe "TO f/3 NC Ett N /3 DATE: M AV h9 PACE: kt
$USJECT: "T~A B L 6 O F- (/JN 7 E r4 ~7 5 sy: /A . P. CK: DAW SHT: L OF $t I
t 9.0 A m A tysis zs- )
l 4.I D c A ovve 6 T + Seismic L o A oinc, zs N . 7. Pir_csstries 3z.
4.3 T3RAz.c - C i-t ec w 3s -
4 . '-I Asc 'Tn os uTne ss 39 4.5 P A T I 6 t/ E Con so oz e A r o ce 33
- 5. 0 C os c t.u s, ors s 9y 6.0 f< cree.etsc e s 'ic ,
S ecreou s 1.1 s. z . 2. 0 1. l . 2 . 2 3.2,q.5:
/ /I '
W. H f PREPheGD 84* S*-II-1Y 4An,4.-
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NER u~IG b OVl ll bWJ Y" 12Mh 14 1 l
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AtL O T H E R_ S E C T i O N S ,* {
pre Pn e so Sv: CUn Gimcm s - ii- s y I s 6 v t I
(Ef fjG Q y *, fb ' f W'- ?*M h$ UW k W 1
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- HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
, TITLE: Rf 5PD 456 TD C.04 Cev ed 13 DATE: MW *M PACE: I
$U8tJECT: 10 teJrvtoDocto J BY: LLJ CK: AA6p SHT: I OF 3 l
l./ Pnosten sm enT Ora NAKCH 3, 199'f, TMF tJ 5. t]. A. C. . Svem urrty Dock ev n0 CD - 341 TD D C T3 coin ~ ET)n S ord ComPArd. TL1tS Doc Ke 4 CorJ30s T5 0F / rig Jisr fot AObino4L tufoc u + noel GrJ Fcrtml 2.
CC HVAC S V$rLW De3 firrJ s%aD OfcM M no d I*)
&c"* C JW, T~rtcci kC Sewer L ccet c criea S 19 c GM &m &~ "Dif STrz-vcrve A u
/
o r4 7Y6 tt o r4 ceLcvL*noaC,, HA-OC/74-Gib h.D 4A - O*)lB9 - f 96, PrcreeC> cy Hore.x A-d Ano ci ms..
Tus pecxA er :: PcceA<rD ts oc peg To Respoa c To ONC op THf comm em'r s Posrp B4 WC tu R C R C&ME Dr *J G-HA -o 5 / 8 81 - 686,. tJNykty,
" Corner Lap" or "Pittsburgh Lock" type corners and middle longitudinal " Acme Lock" type seams structural Integrity was not evaluated. Therefore, the air tightness of the ducts cannot be assured.
4 l
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- , HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TifLE: Rt.5F04$C ~ib { 040e2 si 13 DATE: PM 'N PACE: 7- i
SUBJECT:
to i OTc ots et-lo J BY: LLY CK: Lib V SHT: Z, OF 3 R
l.2 trN EST i (r Arso u MPCo A M THE
- Po rTS Bs A,& H Lock
- M a m Scen prsO Tur M k r LOCK '
- YtPE Sesm of $ % TLin$ H ht:q 2,cp orJ HA-o*Tl8c.(,g(,, 7 Wut1. PJ gcys su s-1). ThC srG e.n<A L, orarr uo q or P T 5ew oS Lanu, I5C CYounft1) n:cM Lof95 R*x x CompJvt 2 A J rJ '. .
7Cercami1> SV WPic /NO h.C04MV.5. .% O r T'IO *J ntl4, Art TIGHTNESS &P W 6 0s~ CH'# 13 Iv '*\t L.> r L t. &E C VA L v A7gO I
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'. HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: kF5PONSE 'TO b Nc FR r9 13 DATE: M AY b V PACE: 3
SUBJECT:
I N TT2 O O A CT8o N BY: A . 2. CK: JA$ SHT: 3 OF 3 ;
/,3 R esu ter sure nev B aseel a p an ca ecu eatcons performecl tn thts pesc kcge et u;cs s determtrecl r skat eag ta d ena e ;
"P&tsbac3k Locl< "
cmd ACM E l-oc k " se am s en :,
.s te m s 2 e y e - 3, w 6-1, wu s- e c n cl toi6- 7 c a e.
struc.turata 3 ede9 mate to withe w d operaltomad cuci .se t snu c Bea clt o , wtiboxi Cocle aevountoge exceecimgtue c ppetca bee ,
~
stresses, ancl wtthout wmpromtsm] car tegktness .
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- HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: RC',FON$f 7 D CO n c Cr/ef t'l MA4 'N
. DATE: PACE: 4
SUBJECT:
20 CM Lnem IA scie.rsno ,J sY: LL/ CK: Mf_*v SHT: / OF 3 r
Sytw Desocio no,J RxA NcTI A LT 595hm S tsar svALv Arr e na HA -os /59 - G 86; Z s 'f s -3 TRS 5%Ttm is L ocAn'> ta THE AvouMY P_,0 L ona cr A=- Acd Et_E VAT 1o.J O F- (o90'- 3 ". W c Sv1T W fo 45'575 OG 17 D' AMviE R 4
RcuaD Doc _TS.
l 9 %-1 THIS
- N tTtwN ts L.o cAn'~) i4 THE An e u M V EdiLD t4 0- kr-t L.cvmo.a 690'- 6 ". THE sNsm cousicr5 o r- l 9 x i4" SQUAti De a%
B *.>t to - (o 7%$ SM5p 15 LotA rih > ta 7wr phu,v a y a o n.p, a (r A4-CLCVAno *J (p 9 0 ' - 8 *. W E 195w (odsibT5 oF l(p " v l b
SCDuM4 PoCT5 AeJD n. C " bi%cnSt Ro.,ap bocT s, '
9 %- +
rH6 5MGTvm ss tocevt> i J TMr Avu u MV B oiLDi e4 (r A T" EtWMo rJ (.p 6 D ' - 3 '. Wc SVSTEm f(c"x f(, i con Si S G 0 8'- '
S'N ME
>>Lrs Ann 15 " t. w cTe n Rowco p se.,S.
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HOPPER AND ASSOCIATES ENCIPEERS CALCULATION SHEET TITLE:_3 E SPO45E TD Cor4CW 4 11 DATE: # '9 N PACE: 8
$UBJECT: 2s 5%Wm DE*AE W u sy: L L.V CK: LAl@ SHT: 2 _OF 3 1
2.l L ON(r
- Tu bi o At SCAMS E RcP l 3 DS-4)
.p. , (ONTIN DOU S ( fn. t. E T~ Tyrr)
ERAZE MACHINE -
FORMED P 3TTj @RGH /{y ,, ,
gggggg7 h, (o g 7 I NTER K)R
---]
PITTSBURGH LOCK DUCT TYPICAL RECTANGULAR DUCT
, l - SEAL ANT MACHIN E ,
y FOR M E D - J 7.c3, AC M E.
L6cK
! j!I. b D UCT INT E R io R 9l Co NTIN uo :.e5 DUCT w ERAZE # /
A f * ".y# y)
", ACME LOCK TYPtAL Routlo o ucT lI 4Mm e ums e
. - . . . . . . . - - . .- . .-. -, . . _ . - ., ~. . . . -. - - - .
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. HOPPER AND ASSOCIATES 4' ENGINEERS !
CALCULATION SHEET
. . TITLE: CL59045 -it, (c offet e J 11 DATE: PM 'M PAGE: b
$UBJECT: 2.0 SN c,n m u%.c w t o A gY: LLV CK: b& SHT: 5 op 3 r
~2. 2 MW Ac C E m i , W. r$- 2. , 2 A 3 ,
CH4TT te c7* L A e2s f (6 *)o) i
' a o4E " 4 00 sat.M T Cr.C. St.
Sa42F Sium =,4c a 2.C rr.u N N 5 -A r. (e ,
i k
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. HOPPER AND ASSOCIATES s' ENCINEERS CALCULATION SHEET
- TITLE: Rc5PD45n it ( raat d A DATE: PM 'M PAGE: 7
$UBJECT: 50 A+JM St S AfPco Ac M BY: A.R CK: VW SHT: / OF f6 3.) A15 t)MPTio?S l
l
- t. The Al.sl and Au/S Codes o/e ,
csffet ccr b2e to duc Nork clest n '.
The c>.pfet cc< btE t of thts assuwipbon t
ts duscussed en [ geg /0, Pg 11- 3.s ]
- 7. Materiod A527 has the sa me eme chcimccd strength properties es s carbon stese A3t,.
- 3. Stra eturcJ tntegctL3 op dv.c3. s keoi- '
mater,a0 es proper 2 evcdaated t.n .
~
H A - 05/ B 3 - 6 8 6 [12e( ?3. ,
v.
Geoge thi c kness ts eguae to the l tksckness of the thmner matecucre l it.mes o. f ov . Tht s is betn3 conne cted done to c ccou.nt foregecive ihmat. >
- s. The bra 3ed gotnt <3 .c;uaeyiec. to ;
code.
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HOPPER AND ASSOCIATES j ENGINEERS ,
I CALCULATION SHEET l TITLE: RCSNr.4 m c Morvt el t> DATE: NAN 'M PACE: 0
SUBJECT:
3.D A u Atw e R'ec.oM BY: LL/ CK: MfM SHT: "E OF ID 3, 2. L OA%
THC LoAOS Doc T'D w owelvmr As.C oz,T%2cD r-co er comeoTrq Ru~s PcAre e c9 s Tw c Se,Lm c.
H A-06/89 - 6 86 C 2cc 2.'].
te4dacm reatiL Act rc 7/.u st, Feom A S,rr sat.<6 c, twe7"H av41k:c.-
($56~) woM 2 /* Mm4/ntCr, TMC cetwovrY4. RE vun, Aed" Bast D c o.Jo Sher 7 +ts7 H-Pff & *L v ANILCO THitlerJ'3%.
l Tb nri m ms twues Awk so.ee.n e s, unica crLav-- 37,cD oa A 34Cf MC14 L, TMic>c4C15 , ALL. FCCCES RCPott3Y"J- g4 H4-CQ/M.68(,o NJ HOLn vorp M A conse,wm x 7:rc7 pit c;: 1. l ( lo*/. i4cM r),
~
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THE /rDDCD Ftw i(?au nt.
THC Pc5 a 64 P<zE31 u<t/ s ,3 A4 b0er 6%me S gS 2 2. iNQ Hwo oc. o. +96 g ,
__ _ -_LY _Y- -_ Y._Y?_ __-_ ____-_2-______1~___ -_________ _- _ _.
HOPPER AND ASSOCIATES
. '. ENGINEERS j
CAI.CULATION SHEET i TITLE: k ES 90r45 C TO (nr-4LI:P_ r4 13 DATE: A PE b Y PACE: 9 i
SUBJECT:
A retvsis A 90conr_A/ sy: A. E- cK: L4VSHT: '3 OF. 1% '
CR TsC A L r OLA C T S YS TEM Z B4 6-3, l B"4 L oc. A rs o N : EtrMer1r 30 i NOCE 30 SELF WEIGHr 5SE@ 2 */, DAM P. !
Fw d 730 Fy - 1 2. l- 20 Fz $ 64'O H, - 410 0 1380 M .,, # 52730 Me - 674 4/O o
N
% FOCCES . L63 ;
2 y MOMEt1TS
- Ir4 - L 63 1.1 gre$ueac3 m Ap ben i W eu,3 mceucle qactor Tm e 3. 2.1 Loxo.s goz sysres t eus-3.
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. HOPPER AND ASSOCIATES '
ENGINEERS CALCULATION SHEET TITLE: kESPONSF TO (M r-4 C EILN /1 DATE: A PE b V PACE: 10
SUBJECT:
A N a t. v st s A F a c o r.2 r. # sy: A. E. cx: tr+V SHT: 4 OF 18
. C R sTicAL.
OLA C T SYSTEN 43f b-l, TO L oc. Ars ON : ELFrMEf17 2l sooe 2 2.
. _ . . . . . _ . . ._ S E L F WElG Hr.. .
55E @ 2 7, D A'4 P.
Fw # 109D ,
1
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! .1% ~ l'I'{ LQ t l
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1
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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
, TITLE: kESPONSE TO [ M r-J c E P_ N 13 DATE: A PE_' b 'l PAGE: II
SUBJECT:
A NAt V315 A 99E On A A/ BY: A E- CK: M/dV SHT: 8 OF 16 1
L I
C R s TicA L.
DLA C T S Y.S TEM 81316- 4,l7.5'[ Loc.Arn oN : Element so f NODE 97 l f
SELF wElGHT . b S & (cd Th D4MP.
Fv d 995 i Fy -303 6 Fa p 3 02.
M, # #
hy % 6750 ,
l M7 605 $
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FoccEs : L65 2< '
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1 HOPPER AND ASSOCIATES m l
- ENCINEERS ,
CALCULATION SHEET 1 l
TITLE: k ES90f45E TO I' n t 4 c E P_rq 13 DATE: A Pc. .b 'l PACE: I 'l-GUBJECT: Ar%sVS15 h PP2. On rJJ 'BY: AE CK: lAhh $HT:. b OF Ib
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- HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: kESPONSE TO (n r-4 C E P_r4 13 DATE: A PE." .b V PACE: I3
SUBJECT:
A rv ra u v s r s A 99EOrar_# BY: A. E- CK: //M SHT: E OF Ib C RITsCA L DLA C T S YS TEN 'Gl6-7 / E' d Loc An OH : ELFrvirNT 53 NOCE 730 y SELF v4EIGHT 666h 7_.*/, D AM P, Fw O O Fy 43 / o Fe o 3035 My 6SL O M.y 3 s64s ,
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y MOMENTS ; IH-L63
' i YaGues evacfucN l. I f rec;utv1c ab v5kvnen t qackor TABLE 3.7 4 LOADS FOR SYS TEM L 3/6-7 1
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. HOPPER AND ASSOCIATES -
ENGINEERS CALCULATION SHEET !
TITLE: kES90NSE TO (M r 4 f EE.N l .3 _ DATE: A PE.
~
b 'l PACE: /4
$UBJECT:
A Nrri_vs s t A P 9 c o n r_// ~ sY: A. E. cx: //A% sHT:_ 6 op_ 18
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HOPPER AND ASSOCIATES I ENGINEERS l
CALCULATION SHEET l TITLE: b ESPOW52 *TO CON CF/EN /3 DATE: /J A Y SY PACE: 15 l
susJECT: ANA cvsis Aapeonca sy: A . e. cx: M4 sNT: S or i6 3,3 A N As.y T/ C AL /OFAc / E A T/ ON The Goads ercttn on cu clact cross- sechon '
and the cnuesponkn5 stress dtsire buti on ;
ts as .s h own be8ou;,
3.3.I enervouwe -e Demowe,csr l
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TITLE: id FS,OMr4 t r "Tio OrJegp N /3 DATE: MAV @ V PACE:, ik
SUBJECT:
A N A t.v sr s Agneones Ev: A e cx: Mt.e snT: io or #B .;
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TITLE: En'sPONSE TO CONesRN /3 DATE: MAV 3 Y PACZ: 17 susacT: As A cvsi s Appeosc a sy: A , e. cx: tAf<*P sHT: si or s s l
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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
. TITLE: EESPDN3E TO CONreFN '/3 DATE: MAV Y PACE: /8 SU5 JECT: A n acvsis A PPe oAcH BY: A . E CK: f/M SHT: /L OF ID '
3.3. 2. Peessuee .
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i i
c .*a m u._c... __=m ._._m u4 a m_4 a_.- . . _ , . _ .m _ _. .
. HOPPER AND ASSOCIATES ENGINEERS f CALCULATION SHEET TITLE: OEApnr452 ~ro CDrJcgrp rJ IS DATE: M V% 4 G V 9 ACE: 19 sus >Ect: A r/ A t ysi.s A PPR OAes sy: A . R. cx: elW SHT: Ib OF /B ,
T he 8enci,W to to t dEh rc4 Es o o
~
the.se godes ts
/4 -
. 47 30 i
IL :- . 5 *h 30 i
~
From '1t z 1 ,for C Ref 3 , Pg Eeng tta t;>tdilq//af,io
~
2 bD o < 4 ; g g,g
$ o8tAbto in c5 c-80se 4, o tbtose vev3 o bhalvle c$
fof a vn Lv1f t n tte0
- 4. on g8cate . Therefore, the duch pane /s ,
ccm be cmae ec as 20v'3 pecies bevtt to c~
cgetvuA rt c a 0 surf cace.
L
, sits? 10 bE ,
^ ~nne o ;
~
d toL WL
- D
, L i
~
~~ ~ '
.~ ..______"~ _ _- _~._.._...
. .. HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: RErPONse 70 Cop 4 c cra N 13 DATE: M Av 9V PACE: ~40
SUBJECT:
A s nuv sis AopaOAcs sy: A . e . ec. : ger ssT: m o, , g The st re sses to the gone/ consist og twa components ; ben dtng cmcl me m brane . T he tn(euence o(
each depends on twe boundarg con cli ti on. T he toto,e st ress to tue pcmee,t..e. ben dx n peus men > bec,ne, cs m a n m g e cl u.i h e n ptxe d bounda v is o ssumecl. Notaeve/, a stmgG3
. supported boandc,r vatee p<oclace tk Sofc est meyn brc ne SLfesses a00ne.
y -
8ecause stre sses t vi the becge clegeoc}
onf on me m brane st ress e.s, a sempf supported bounbay w s22 p<oduce %e most conse<vattve resvet.
Fro m C Rep 4 , Pg 4 60 3 , the membenne stress ts cle t er mtMe c. 05 s hotem,
_ c bN c'u i
. HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: 2 Es porvsE T'0 CON r etgN 33 DATE: MAV V PACE: "L'
)
! sus >EcT: A Nntvs rs A ppr oAcH sy: A . R. cx: M6VswT: 's or is !
l I
v;be /e, C,= . '13 5 ps s , mca s v>una pressa re . ;.
b= /6" or /4", d u c.E u;i d { h E= z s>10 ' psn b ,0476 j GMP[ kbtCkMf55 ( 6 c, e /6)
Thus- , y
(. 7esq ( 16 Y = 394 (lb")
(Z tst 0' ) ( . 097 9)y
(.795 ) Cl4[ c 7, 0 Z. ( - 14 " ) !'
ltsviO h(.047B [
6 Frovvt the ta bP4 , ;
G = l7.5 Et' ( l6" )
6' l W = JO..S E M' ( 14" ) ;
b5 i G - 17.5 bS 106) (.ovv sf , y330psl (/6")
16 ' j
% = f O.S (19v L/O'1.0478f = 3 6 B5 g5[ (14 * ) f I4 !
i 1
l
- 1
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
. TITLE: f Fs enNs E To C o N c r A tv /1 DATE: Mnv 9V PAGE: Z. "L susJEct: A N A t ys is AvveoAcv sy: A. e. cx: MV sHT: /k OF /0 3,4 E v A t u Ar,on Co soi r,0 N S ANO CRafER/A 3 . 4.1 APPt Ic AC6 Le CODES AND b7ANDARDS A,isi - coal Formec! Stee8 Design f 12e[ 5 3 Manuae A h/ 5 -
Struckuro8 We8dtm] C och[12ef - 63 Stepf , D t. I , is es Sheet Metse Weedsm C o c\e L e e f 7 3 D s.I, I s S O.
ANsl / ASME N50s- Bo fl2eg Bl ,
- 3. 9.7_ Sra. Ate- STe em c,Ts C e e rere, A In prcytbtm the te arremevuls for tu bu0ar I
strackuces , the strucLaroe sys % s most
.s t msPar io da cls, t.he AWS cocle spcsfses tke.po@ovatm ,
HOPPER AND ASSOCIATES ,
ENGINEERS j CALCULATION SHEET TITLE: kF5pOINSE TO CON C ERt4 13 caTE: M AY 5 t( PACE: O
SUBJECT:
ANALVSfs Agre onc u sv: A. e. cx: tAVssT: /7 or ,a o
/
TVPE Or WE6D S TE GSS A L L O vJ A BLE STEESS Tension or compression Same as for FILiET fofah$ek $O Cwth b ase me h Of An o - toefcl VJ E L D s heae 3 tress on 3 Feu (elcl) eyec.htve thfool. . H Fy L 6ase mei.mh For thtn sheek the AISI Cocle ts m ore cp &ccslae. c As chsc u.ssec t vi AlsI ,
C Ref 5,Pg11-33J Commentcay , for connected mcrtected less than o.as wek m
thickness, teart.n3 of the shee{ retc4 is the cowLroeem ptetae mode. Tke
. O A00%^) O E SkfeSS for ftAfe{ t^1tbC$ L5, Sf L Lf s2 L orscoT LA DIN AL - FIL L et ', .~75 Fu _ . 3 Fw
- T. 5 FL ACE GecCVE . " * , 3 Fu TEA t4SvERsE - FIL L E T '
Fw _ . H Vg
- 2. 5 ;
FcA as c>eoovE : 33 Fu , .33 Fu
HOPPER A9fD ASSOCIATES ENCddEERS CALCULATION SHEET TITLE: RESPONsf 'Tb fi)N C Ee rV /3 DATE: /d AV V PACE: ZM
$UBJECT: A N A t. Y s ,s A me oAc H sy: A . B- CK: fMV $HT: / 8 OF / 6 The concesas u ons dra vsn t. v, Assi Lommentary cde basecI on tae0decl reather t.hcm bragecl connecb ons . H04 eve / at tcca0 code L ue the ASME, B { PV Code, Sect t'on @ \
- l. Reg 9, Pg 183] , spe c spies that f or c~
brage th conneci.s o m to be const clerecl l acceptca bee , the bue meLe skomect bruke , before the brage . This c~ccepicwsce crite/ic, ts tdenitcaO to thaE (or ca (Jefcl. Th t^ s the Alsl cov1cetas s on s .
c,ffect affetcc, bee .for a brm .o c conn #citoa. .
l The cdf ou;a lope siresses on the base metaQ are gotiMneb Arsts) u s o s - tc3 0 0, Parag. S.10.3. 3 , LJhtc lq 3pec'F'#5 " ,
m oa t m tavn siress of O.3.of giefcl .siress
[Or combtvee t foacls t.ch tcl1 t.vic8c<cle the Safe Sh utdotan Earthe txake , ancl the , l 0.G cf teEb for nonna0 pe d q Halons.
I ,,
. HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: OG3PoNSE TO rANr FPris /3 DATE: M /s v h L/ PAGE: 76
$UBJECT: 4. O A NAtvsis BY: A /2 CK: //49 $HT: I OF /3 4.l D enoweiaw r ANO Seis61sc L o n om e, The bendtn naoments cesstag prom hi an d .:se tsmt c Co>d ua ;
deodiese t3 tntrocluce e tludtaced stresses on the duc{3 For reciangwdar duc.f s, those stresses orce c< ss amecl ac. tun on tlne ccrners o the 0act 0n0} !
WW
/1 5 / / BeAte t i
/ / --.
/ /
/ 2
& L27 The tormers cs/4 near83 une.e/ cs p u/e t
con 1ffesscve osnb tensi$e.) ficmskreSS stm eera +re .s e me < s irme benchnD go< t he counc} d ut .
Theregore the ,
bloqe Ls unc\er d\feck tens,on of t.ompfession f forv1 the bencb t v momenkS. O c ou <se, f
por OmaO Sootcluo the brag e ts a ata
~
ander ptue hens son or compress,vn.
l
~. ^^
- *- HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: 2EsDONrs- T c3 CO N r F f2N /D DATE: M r4 V BV PACE: 26
SUBJECT:
A u n t. v.ss5 SY: A !?. CK: I//tM SHT: % OF /3 For lens u on o< compression paraffed io cais taefcl, cas es %e cc,se of tke en Eongladtnae seams ,1J,e AWs Locle states ,
" Groove anb f t00e{ v)e0ds pcWa8def to ,
the foncttachnae c~xw op t ens,on of u
LOMgression ' members, excefb en Cor1r1ecEt on afeas, ctre no{ consNerec os t(snsferfrn Stress an b hence ma tonke kke same stress as thab Ln % .
base meba0, regarb0ess of tlne e0eSe (fiP8u meka0 ) c8 asst {i costtov1. "
[ Rep 6, Pg I6i , Note 3]
. Se canse the base men 0 vaas clnec l<eck, above cbsc(Lbech 2cacluA f<> { t11e of .
Ev00 benbtn mon?enk.s omb oJrc(8 .gorce, tn H A- Os/BS- 6 86 [Re[2], the cletermanec St(esses t>Jt 00 nob be feccn0ctn0ottec, ta b.la t s f a c l(c. e ,
+w *'
HOPPER AND ASSOCIATES :
ENGINEERS CALCULATION SHEET ,
, TITLE: fFs PON SF TD (,0NCFRN /b DATE: M Av C$ t( PACE: 27 >
susJECT: A N ALYC,15 sY: A . P_ . cK: IJ A P sH T: 3 OF /9 The remcur<r3 poccos t haf clo egeci '
the bra e a r e ', lorstona0 momen {,
tWe sheveng forces tn t he two ;
dwech ong an el unterna e pressa <e . l l
7o23lONAL MOMEN7 .
TH+ shear stress clue +o torss on us l determtne d p' rom, ,
- 12dLAN D T= MtR M t - M se,s + Mw .
- J '
R= B " or 8.9s ", cach us of roamo da ck 3 = 7_ I = 7 ( TT R t.)
J .3 = z ( ii ( s 9 ( . ow y s'>') = zi s on" ( s")
Js. ,, = z ( 77 ( 9.7s) ( o v 7 e l) = 2 0 / c a '< ( e.7s") l Theregore i
%= 9 Mt = , o 'f r i M i ( is p 3 l zie T= 9.75 Mt .= . 04 36 Mi ( 17. 5 " )
20
- c. .
4
- HOPPER AND AS$@CIATES ENGINEERS g CALCULA TION SHEET TITLE: PESPOt4SE *TO br4 c Eera il DATE: MAV 4 PACE: 2. 6 sukJacT: AfvAtysts BY: A . E. cK: f4F sHT: 4 or_ /9 )
i The m a xt.yviu rn sheann stress clu e <
LQ $0(58 QVI L5, !
Ota C 7 5 1iP G- S Y 5 TEIVI M f. Tmmw ,
/ 8 (/> 2 0tf 8- 3 59 B0 tr-Pb 't 2 6 ps,'
a.ip nl 8- u o o p:
i 60tAnRE T Mt C 3
c= B" o r 7 " , haf Oe duci wtdik f , ;
J= 9 A' t , E = pet meter og d uct B ,
Jg* =
4 (lbuIbf (sO479) .= 1 S 5. 6 tn 4 4 </6 i
3 7- 14 ( / W /4[(.0476) j '31, I m 4 4 x / *3 T = 8 Mt ._ , o 4 0 S M t. (/b / b') ,
i65.6 -
'T = 7 Me 131,1 0534Me (/vi/1(')
I
- HOPPER AND ASSOCIATES ENGINEEGS CALCULATION SHEET
, TITLE: R e sposse- To (., oste =tas il care: M nv 44 pact: ze sus >scT: A mu.vses sv: A . /A cx: t4PSHT: 6 0F /B T he maytmum s h.ea n n q stress on w
a sc> usve duck du-c tO YOfst o n ts; V
(
Du cT seu: sv.srsM Mt T ev lb'ylb* 43;6-6 SIS (n-Bb ~2. 7. ps l IL(xJ Lj " 4)lf-l lB4 rn-Eh I O (> s l l
S HF A BlNG F O l2 C F S The sheartn stress d ue, to skeann
{' oft.es ts delermtned fmm, ,
'Y e VQ IL tube <e 3 V = (V3c,s + V owh + ( V se,s + Vow )2
- R o urJ D l
l b = . ot4 98' , dued ths c.towSs
.T = TIR5 i = 103. 6 tn 4 (lB" 6 )
=
10 0. 6 t m 4 ( 17.s" d )
. ,. HOPPER AND ASSOCIATES
. ENGINEERS CALCULATION SHEET ,
TITLE: OEsPONSE TO CON c err 4 l% DATE: MAV V PACE: 3D
SUBJECT:
A evn t.v s , S BY: A . T/. CK: MOVSHT: b OF 19
=
Q A} r R -
4 -)
A = Ti R t -
S
= q R - E '.
W R'- e7
/
oucy R Rc t A c,,o y,.a o c . ,o
/ 9 " r/> CI 8.S52' . ov7s' l.351 5.714 7. 7 z ,
/'P.sp 6.7s' s a oz" . ov 7 s i.3ty 5.556 7,3 The rvianntam shear stress o ,, the ;
founcI dac$ due to shew forces, ouer save sv.5 rsu V h, IB* p 9 316-7 30B4 6b rz.76 gsl 19.3 $ Hsu b -6 sos 26 % o ,,s; I
I
e
- HOPPER AND ASSOCIATES ENGINEERE CALCULATION SHEET TITLE: Re Spore s- TO CX><4cFe H /3 DATE: 64A V h V PACE: 3I '
SUBJECT:
A rVAL Y.515 BY: A , P. CK: [A@' BHT: ? OF 19 SouAeE t = . 0476 i I= 119,4 tn4 ( l b'v /6 " )
=
B 6. 6 tr* ( /6#) !
Q= Af
/6 '
14
d' ] l O l} lI 1
9 mA 3 A = 66 0479) + 2.C.s)(.oi4rg) A= ( iti t . ov 78 ) + z ( .s.)(.ovy s) e . 8 I2 6 tr' = 7/7 on2
=2*
} = 6" (ccmservahve)
G/6 = 6 5 L2 G = 5.07 un' ty ;
C The manmtam 3 hear s{ress t.s :
Ducr site :sys rem V %,
^
16 x ib" 43th-1 243h Ph ISDN.fsl 14 " r 14 " 43f b-l Ich3226 IJ72 pso
._.__._.____.m.-..
=~ -. . . . - - - - - . . . . _ - . - _,
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: ErspoNSE TO CoNCFR rJ /3 DATE: MAY 37
, V PACE:
SUBJECT:
A NALV5/5 BY:
A . P. CK: lllYSHT:1 0F /9 H , 2. PRESSV2E N2 mkA VE f(f SS af( 04 tnC LA$f0 LA ce s m
compressae . stresses w a <ound duct and tens,ee stresses on t ue panee.s o(
t he . square dacL I
R ouN.D :
For -lhe round dack the .sf resses m sue koop de<ecton are de termemed f'o% .
zq aR .
rt where, c .q s s gsl R= S' oc e.9s* l E = , os s e~
b O,
% = .9BS (S )
.ons
, f50 g3l (18"p) tc ~ . nss (e.,.s) _ m psi
,O'f70
( r7. 5' ).
i
~ ~
~ -
. . - . .. HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: kEs90N6F -T"O bNr FfrV /3 paTE: Mov S4 PACE: 33 susJECT: A N AL VSiG BY: A.P. CK: M/F SHT: h OF /9 6GuARE
- The tenstte mem brane s tresses un the s guo<e clucis taere determune cl from P g 7.I , La be.
G= 4530 pst ( liv /6' )
%= 3685 psn L /Vx /4")
In adcliiton, the gressure. t.vstrocluces shece gorces on the geels, ts
, ,441444J .
~
n n l 1
W L_, -
u _/ L __
z- 2.
Vy = 4 E i l
. v)
- 7 SS Ebfun L = I6" or 14"
\/p = ,765 (lQ _ 6. L1 E b ( 16'x /69 z
v g=m7e5 (tu) - 5.6 Eb ( / v"< /v ' )
2.
"*l *'
..-eei 4 % . p
.- HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET 4
TITLE: k f: < PorVW To C O r4 rFr2H /3 DATE: MAy 9V PACE: 34 susJECT: ArVAL.Y575 BY: A . G. CK: /d8 SHT: 10 OF /d T h e. Shew .s tress es dekermtne frono T
0= 3% 2. A w bere, A= 1, . 0 s7 9 = . 0 9 7 e o,3 ct <'ec4 of sirig Tg=3 ( 6.9 )
101 psi (/6"x/69 -
- z. (.. ogs) ;
9
- 7. (.ow 78) i e
P t
l 9
l l
.. HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: k6 SPOT %6 r0 CotscFE N f3 DATE: /dl AY bV PAGE: 3b
SUBJECT:
Arv At vsis sY: A. R. CK: [db k SHT: fl OF /0
'1,'b OCA7 E- -
C n ec t.<
As c)L5casseck f(e voCLA SEthe 5 tre554 S on the bro e e,re clue to t o rsio,qotd vm 9 ment crnc\ Shear f ofces entrocbu.ceN b Se is m i c na cA Dead vdet i doo d t n , on cl cds 0 c\ u e to untevnc,0 ne a ttve f resstire .
Conabt n s n cdA these S ktesses vJ8 e{
the tol.c,0 siress on the m cs t e n ci 8 c( i the becge . % ed 1Lhe stress on the ben e ,
the stress om {he m o fertc4 t_s m uettg6ed '
b vz. Lo c~ccoM gor egecItve 4.hrocd on tke b <cqe. The c.ombtmec} st< esses o <e shovan belova, Duct site $NSTe rvi
- M A T G el A t- GeAEs N V N 7 (P )
S (fsel iB" 6 13/6-7 2.5 D2 150 3539 2.12.
17.5" 6 4 3 / (, - 6 460 146 650 207 lb/6 4316 - ? I52:7 4530 ~2.16 0 69D7
/ 4'v /4' 43/6- 1 1356 3665 /B2.I 5Z12
- comiA bultn s$feGSes from chg areud s, s$em5 are addech L_
1
. .- HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: kFSPDrv sEe TO Cone t pW / ~3 DATE: M Av BV PACE: Sb SUSJECT: Asn evs ,6 BY: A*E CK: MW SHT: 11 0F /9 l
(
Oithou h ca s chsc usse cl en Se c'dt om 3. 'l . 2 t he brege es noi Se taea k part of the connechon , tt waee nomikefess be c hec kecl p or stress. The cdkoa bee stresses are c5l
~
~. ~_iX T1_^---_. - ~~'- ~1 ~ '
'. HOPPER AND ASSOCIATES ENclNEERS CALCULATION SHEET
, TITLE: k 6.5PONsr TO CON c E e N 13 DATe M AY '8 M not 37
$UBJECT: A n ot.Ys/s BY: A . R. CK: /)l.lk SHT: /D OF /0 +
The tenssee ced shecdtv,O stresses o ve -
conser vdtvef c~dclec cmd t%en vompwec
- to -6.he cd_fovaca bees . Thc2E ts, (T -r Rg < % - 14,400 ps ,
(%+ 7)eeng < Fs = l 5, 00 0 ps, So, .
I 8 " $)
2502* ISO =2657 < IH, LI COfsl 0V 3539 + 212. = 57 5/ <
~
15,000 pst O.M s 7. f 6
- 4 6 0 + 14 6 = (,06 < /4,voD gs[ O , R.
650 + LO 7 = 6 57 < I5,000pSl O.V IG'x/b' ISZ"E + 4 5 3 0 = 605? < 14, 400 ps$ O.K.
TibO + 6 407 = 6 5 G 7. < 15,, 000 psl O k.
_t4"y 14" ,
a35Bt 36 B5 = 5043 < 1 4,, V O D />s , O k. ,
1Sti + 5 7.1 I = ~713 3 < I5,000 [>.5 ' OV :
=- -
c$
.8 Q)? O 4
0v9:@V4' IMAGE EVAL.U ATION ,9D,
',*' /
- /g/ thf8 TEST TARGET (MT-3) 'f),T" ((p pp,, 959' hs,,,, ,gEf
+ %
l.0 ;l 9 E F:
, a: S lL=u =
U" j,l h_=3 1.8 l.25 1.4 1.6 4- 150mm
- 4 6" >
ok e> w w,.x
///// . -
/$. ////h e,Q , m<p j O 4t0*' 4 l fs.
t! 4 e -. . . . . _
' )
g k%
. 4 " 4p (g
%, & ;g, g,
<9 @,
- d 'M IMAGE EVALUATION
/ 'E
J/o/ ^hff* TEST TARGET (MT-3)
/
[,,9['(g,
,gy // /
+ %
,.o -
F, T
.,,DR.=2 =
' I lj c- 1,. =2.0 M
l.25 1.4 1.6 4 --
150mm
- 4 .--
6" >
$xj +,,N * /// O+l//,*r g 4> w; ,, --
, 44ge%y 4 \%
93v o;,
64,,e, 4#
if9'
')
i
- l
. HIPPER AND ASSOCIATES l ENCINEERS CALCULATION SHEET !
-' . TITLE: - E'Es POtVS F TO CONCEEN /3 DATE: MAV O V PACE: 36
. SusJacT: A N Auvsrs sv: A.R. cx:td k swT: N or /s i-
't. M Aue Tisu rness ;
As was shown u, grev,ous 5eci,on 4.7_
l the stre sses on 6he bro gec} j otn i en the h ti s bwg t, L-ock " c4a c} " A CME Loc. l<" are weef for3ttadtvicie seams bePouv the Code, cJ24owebees . In a ddd.,on ,
to ensate cx tr ttchtness, the d admne u 2cr0 .
sea n1s cae sea 8ed t.atih G. E. St 8t con e 4tltOO. :
From the c4 bove d ss c uss,on d c c, vi be conceaded that the att isghtnes.s of the forytuch.nad seams wtet be ma tdatmeck.
frofer2 o , e - e -e-w. m==m. . -
-l :
.*..' HOPPER AND Ass 2CIATES !
ENCINEERS i CALCULATION SHEET TITLE: RESPONSE "lD (oA>CeT rd 13 DATE: MAi '94 PACE: 33 '
SL'BJECT: 'i. 0 ANAL 4 Sf 5 BY: Lt.\/ CK: AbV SHT: II OF /9
- 4. 5 fan &vr coasicccAnorts ,
F+nsoc evnwAnoras Ace nor vuittsf teasacces2 Pbe !
S t1S m it An M 'fSCS. 711C ONL4 OTHcR Fpndruc centsopenknora 1.$ TWC 3DseT VPfSHvTDOLJt/. CVCl4J of: AZUACOW ET $
WHICH CAUSC IN TCE N A L , far5sv2 C. 711CSC C4CLE5 /1?t
~
pre.1 of: TW o fr o rroes s t terPS. '
ruc Pans it;C S %cTYp #60vr TwcC Mon TH W [ 12]
. . Tn.v.c Acc wo SmeruflSnorpoca,s cyctg5 7cg naarsj i Ng ~ Tkc' L18mmE PPELT11> S71erWP
- N.=
t 2 Cycl.63 PcM. MorJT4 x 17. McHTHS t 40 V4WES
=
9(o O C 4GLC5 i
Ng L lx 10 C 4 C t. C S NottsALLf fknSoE~ IS CON 3tOcRcb Whew N e> I O 'I , F O R Ng < ID A ( Lou) C4cLE FAT 16UE ? LCF) fpnc,vi is A corscrxrJ ;
pHcrJ Svetcse S Ex.cct D VIE 2.0. 70s NORMAL OPEC A %
frottuptrJ& THE FADS OPreA ns% THC Srnsus osu THE butneJ Cr SC BL LCtd V!;Lp,Aap p'rer e oer M PA r) cyccg5 y etc.
NOT Mrict THE OsSt6-rJ 04 LorJesv-1 op 7>'C b >c v.4 (r.
Tkt5 .o u-L Er d e m c N # M !> na M e1 *Cto PA eES.
- \
l
. HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
. TITLE: EC9brael r0 co 4 Lee.e4 11 DATE: N /-i M PACE: 810
SUBJECT:
N.D A'4N M Lib BY: LLV CK: f4k SHT: 1 (* OF_ _ /9 Fog Tkr DeLT1 e4 Cr t h iAt., THC pcstG*a W4 P(R.
ArvSI/N m f N So1- 80 .ts Odo Sy . . Au.casatr THC k4nuu.s c DLcz.5 % FR'whcd 0%3 '
g -
G w - 6%.3 2
LcT Wu 5 D.(p Sg s2L(o %\
L. a =0 %\
f S a =- 216-0 _ ,g,g gS; 2.
Fcom Ficv 4.5. l E.i3, A<>Powonc r, Fur : cl.i3 e4 0 W Docrto.J io THC tv-Trei AL. STega6TH t WPcc.TG.
'AS />tL.1h'C BfAZE,THC Simc.ukth-w w s G,,1(s tobe" }.tn } hMS p\.\ - $3 toc > t4or cooGiden N < 104 Foe FAT 160C. FICr. 4.f. 2.
>ewoa S T**'re S fan 6vc of idCJEp Pif f,1HC hwatr wwtp rs Sirmw,
/.>pmr>.e:.u-1, THC 5-ttr5's in - wr wctravar car.2 E.4~
M40mcp TD BC YE Shmc F5 THC : J cT. :. Sg = 10. 8 hl
' *1 E 34 4c Awi t e. i A L. i< ECUS;,Aws A6.? [il.
Asmc acius me. ?:2.r::sa e c n tse :_ ce;>c s u et:e c . r. 3 i>mr c - M w rla:At.S a rJ c t v Dr*2 ".FA 6. (p WhiCH IS 1prvom c%. TV Ao s A 6.6,
- .- HOPPER AND A550CIATidS ENGINEERS CALCULATION SHEET TITLE: RGPbut E ro (n a c_=re d 6 DATE: NAY NN PACE:.s 4l susJEcT: 4.0 M AL41.5 % sY: LLV CK: M AV SHT: #7 0F. /5 l i
i IM6 Edidos APPENDIX I Fig. B 9.8 j J
N I i :
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= g i { "E1)3
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HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET i
. 1
. TITLE: RPle 45 F ib chuh (5 DATE: MM 94 PAGE: il~
r
SUBJECT:
40 /*T4 alp 4 5 t % BY: LLM CK: diab SMT: 16 0F 10 l
t f
i STur:.s cpre com e. ~ w Pr toi m t.o u e.ruesa A st e CG, w ea.3) ,
f 3 i(%lLM 7tl> Pd(SSj f p/t Dewo4 STrtMiod 09 L.4 )
8 :
100 l
2000 ,
~
B f X and C
{ / -
1000 (
$ 20
=
p . ,,,, %
,g l,
[
DT FT %
~
B- 500 -
l j
10 - ET N C, W X,
,,,,, 4- l S _ %
- s % .._ _ F 2 t
~ K N - 200 3 .~'
$s t-
~ w % ,, 3 ""*Dh E FT.=
- 100 E
K, !
g l I i 10" 10' 108 1C' 108 -
Cycles of loed, N Allowable fatigue stress and strain ranges for stress categories redundant structures in atmospheric senice i Ft(s. 54.5.2. C 6, ri(rio.3.f]
l
- 'A-si-
. .' HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET (outot ed \'#2 DATE: M8rM t94 PACE: k3 TITLE: TE6 PooM TD sus >ECT: 4. o A A% s'a sY: LLV CK: (AOP SHT: /3 OF /9 SF A 54 6 wr5 A.ot t4EI.H A 44 CA1. PAoPrRP4 RETm cc K m ,
fbC. 6 Cw S' . THC tAtediM Of4 TE r4St 4 LT'.'f.cr% W t 'o 85D kst ,
AtJ Ab D iT1ou ht. RNE aci C i 4. P(r Z ?. % ~] GNO A N (su 6 Gre mcrTH FoR. EMI ( Siu re.) G(to.425 )
AS Room wmece-m a.C
- Sg c icl gs; prog 3 co x ;O 6 c yc ts g,,
FcA tJ g e loco, No g rT> m Tto N tra WE SCAZF NYi A1
- TCEN &l"K IS tN PEbT. .
t
., HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
^
TITLE: k 5'5 PD f95 6 "To br4C ERN /3 DATE: /kd A V V PACE: 44
$UBJECT: 6. 0 CONC t_u slotVS sy: A. f/. cK: M8F SHT: ' 0F '
Coact usu ons ;
In response to es LA. S. NE C . Doc ke E 50- 3 y 1, t ha stru.cturc 8 2.nte]rd] 3 atr t t hiness anb fatt ute s tre th o[ the -for tiu d tvia O ' TA.ftsbtArg h l-Oc l<"
csnd " ACME t.oc k" se a rn s op dtaci 5 stems 7 896-3, 4316-l) 4316- 6 oncI ;
93t6-7 taa s en ve stt3a te c . {
It was [ouncl that the bra}e c, jotnis Of the fongtEtAdtno.8 seems meei tue ;
a680Wck b8c stress regutremenEs op 6he i cfg8t ca b8e Code s. Atf tt hiriess ts expecked to be. motvikotWed becatAse Of I the pfesevlce of St & cone be4 0a n {. & 250, l basecl on the exgecbeck twv1ber op doodtvi c cdes on the s stems , [att ue ducktvi]
etpe of A fonc t tu.d tnae 3eam3 ts not eypected to be t.ornpromtsac.
l l
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.- HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: EFAPONSE ' r0 CONr EM /3 DATE: M Ay V PACE: 46 susJECT: 6.O EsererscGS sY: A.R. CK: MNb SMT: / OF 3 REFGit E N C ES
- l. Robert Irsa Compan , "D u cS Constraciton Beoc hure Ennco Ferrvi t Atom t.c P. P. # z. 3011 - 104 - Type 1
( Eckt son Fife 8 S- 6 86 )
2.. Hoyer Assoc s ate.s , ".Strac&ra 0 Evakt.AaSton Of du ckAn b stems
- 7. 6 4 B- 3 , 'I316 - l) 4316-6, 9 316 -7",
Ceteni.: Deco Ferm t - 7 ; H A- os/BS - 6 8 6, Ma , I.s Bs.
Tt <noskenko f kruecer, " Th-eor o( Pec<tes
?> .
ancl She//s' lid Eckt.,on , i sss . l i
4 Souc W. c . . " Roc < k 's Forenvlac {or l Stress and Straun ", 60 Gdttt on l Mc Grews - Htff,18 BB. '
5 bl5I , Co2cl Forev.e c Stee2 Destg n H ch n utx0 '~, A rnett ca vn Ivon cec \ Stee2 InsitiuEe , is BB.
l l
i
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- HOPPER AND ASSOCIATES i ENGINEERS CALCULATION SHEET
, TITLE: 2Fs90rVSF TO fAr4 r Fer< /3 DATE: MAy 94 PACE: 'l b
SUBJECT:
EErRGENCFs sy: A . 2. cK: /AdV sHT: 'l 0F___ 3 AWS , Struc-lure,P \dePclun3 Cocle -
G.
Steef D1 1, Amertcon $
W'ePclon]
Socre , is 83.
- 7. A WS ,' S hesi Mehe Weedtej Code" l D 9.1, A meet can Wefckn3 Socie t ,
[
/930.
- 8. AN51/AsM[ Nsos- B o, N c2 eat Pocce r ;
P0 ant Cltr CPeantej LAnt bs cm c[
Components ", A mert cen n Soc ue { '
of t4ec hant c cd Eng neers , t e 6 O.
B. AsMe , Gotfer q Pressuve vesse e C o de , Se cha on 13 , ' w'eechn3 crnc)
Brc,gtm3 Qu e 6 t c cr te ons ", A mers co n f
Socnet fin eneers, Of M echontcot0 1952. .
10 Desat, S. C. ei. cJ2. " .5truc{u.rc,e Te3tt of Sei.smic Cc4fegory I HVAC Owc 8 4
l Specwen s' C,ved Edgeweeroog oncl Nvc2 ear Pauset , Vol. (, ASC E, 19 BO.
i l
l i
l l
. .. . - - . - .. - . - - . . .- ~..
k
.- HOPPER AND ASSOCIATES ENCINEERS I
CALCULATION SHEET R espouce {
m tE: to roscseN /1 DATE: MAY' SV PAGE: 47 .{
susJEct: I2rree ersc. Es sY: A #. cK: t/.GV SMT: 3 OF 3 -
I 1
II. hSME, I B s 2. 6aeer f Pressua Ve sse d' cocle - Matert a fs , Part C. , Amertcav; ;f 50cte $
of Methons.ca2 Ev1 tneers,1992. ;
6uiterworik Co 19 93.
i t
i I
1
-, .- _ m, . - .
~ .' - Atta;hment 10 to i'
NRC-94-0050- HDPPER AND ASSOCIATES ENGINEERS 1
i i
i i
DECO - USNRC DOCKET NO. 50-341 i
EERMI 2 CCHVAC DUCTING SYSTEMS CONCERN ITEM NO.14 EVALUATION CALCULATIONS i
u i
l I
l Prepared for: Detroit Edison Company Nuclear Engineering Fermi 2 6400 North Dixie Highway Newport, MI 48166 Prepared by: Hopper and Associates 300 Vista Del Mar Redondo Beach,CA' 90277 April,1994 '
- ~ '
e6&
9 g
]
'
- HCPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET m LE: R s=<; PoN sr -ro CONerew / 4' caTE: 14 A,2 9 '4 PACE: (
SUBJECT:
TAALF OF C ON *T~CJNTS' BY: 4 Il CK: MAK SHT: * 'OF t T4 6L E OF Com renr.s l
l.O initto,0vcrioM i ;
i I .I Pe osugu S rargutenr n i 1.7_ IN vest / G A 7 TON A PP/2 0ACH 2 i 2.O A m nuvsis APPE. OAC H 3 ,
2.l E xis riN c, ANa t vsrs 3 i
2 . 'Z A SSdM P TI CNS 3 l 73 l-CAo Facroe.s 4
- 3. 0 R EFE R.EH C.E S 26 i
i Peepneeo av : OA2 Pm "
v- s -as 1 6 !
, C necaeo I?>v . M % % 4-19-% '
i i
6 s
a
- HOPPER AND AS$3CETES !
, ENolNEERS '
l CALCULATION SHEET ,
j 2E590NSE CONcc-EN TITLE: ~7'O /4 DATE: M At 9 4 pace: I susJEcT: l, O I N r /2. o o u cv fios .y: A . t ex: ,3at. o, sur: i 2. l
- l. I Peoea. e ws 6rn remear i
O ., M ctic h 3, /S S tt , the u. 5. N . R . C- submttted l Docket t40 50- 3'II to D+trott Echson Canapcwiy Thts Docket.
conststs of a reyed f or odhtconaf v, ot&
t vflcvmokton on Ferm t 2. cc H vac s stem chst Ofe(attovt. Ir1 pari t c a far, there cde severae conceriqs (e ardio} tloe .5I/uc f.,urc48 tv18e rii caAcu00thosns, WA - 0 5/ 8S - 6 6 6 a nc\ HA-0Bl63 - 6Bb, perfornneb b Hofff f Assoctales. ;
Thes packac,e es preparec l
t., v, orcler to c
fesforlc\
to One Of ik con 1nnents pose b bke /ame0 J i N2 C (e3cuchwl3 Hh - DNBS-666 7he existing internal loads due to seismic loading were ,
amplified by the product of the ratio of the SSE ZPA to
- l
. the OBE ZPA and the ratio of the peak response accelera- 1 tion to the ZPA, presumably of the SSE. The damping '
used for this calculation was not specified. However, there are two horizontal and one vertical component for each earthquake, and these are also dependent on the evaluation within the building. It is unclear how these.
directional components were actually applied in these calculations.
I
)
i HOPPER AND ASSOCIATES !
ENGINEERS
- l CALCULATION SHEET ,
TITLt: R ES PONSE 70 CONcG rzr J ' /4 DATE: M /4 /2. .9 4 F.9CE: 2.
SUBJECT:
[N y fr- O Du c.TI C N sy: A , e ex: e s'<T: 7 or z i
l . 7- INVES roc, AT s ON h P P 2 0 4 c. H s
The proceduve usec en the !
obtatetn3 foa b f a dors, empeementecI h throa3 out the anae3se.s og un- o cs/es- e ss, bounclem3 tocef 6e docwnented. The agnach ,
tawe a en c4 mcx 43 pm3eac4 !
s3. stern wtRQ then bd summaregeo en -t he 'h crn og -bo b8es. !
a f
l o 9 n -.
,,. HOPPER gN $$0CIATES CALCULATION SHEET m La: - Fes posm -m E nsc era ra /4 care: MAR 9 4 pace:
3 summer:_ 2. O A N ntysis AFreo Ac w sy: A . E. ct: A4k sur: I or Z.h 2,l EysrmG AnnL 4sts u;as CAn anae . sis of the ducitn3 s3 stems perfor<ned b3 Fluor- Peoneer [ Ref I ] . The ;
i resu2ts of these crnaf ses otre documenteck en form o[ dest 3m reporis. Wtth on except(oW o{ buci 5 stern ze50-r_, the 60/tAckt.ucd evofaattov1 tacek on H A- 09/09- 69 6 I os bosed upon dah contcitviecl en these s
dest 3nreports. l
- 2. 2 A SsuMPTION S ;
The av,a0 ses performeb ' bf Feuor - Ps oneer, concI documentec} cn the destgn reports, t4efe bMec{ upon the .f offouAn} CAssamfstonsj {
Off hangers and c(nchors supporttv]1 the l.
i DuctuJork O/e rt3td.
- t. Most og t he ducttvig s3 stems were constclerecl rigid { nodurcd f rec uenc} >33H[
Tkecef ore, at statac osv1a0 sts t.acrs ferforvnech. :
)
i
- . __m - _
- HOPPER AND ASSSclATES ENGINEERS CALCULATION $HEET TITLE:__ R R <; PON 5 E TO
. CONcseN /L/ caTE: NI n rt 9 4 PAGE: 4 l
SUBJECT:
A N At vsis A PPeoAc.H sy:
A R cc: AW SMT:1 0F 2.8 l
3 In some cases, the natutv2 fre}uenctes l of the ducion3 53siewis taere found to j be
< 33 Hg. For these s3 stems, a d 3nomcc o m a 0 sos taas performec] o,ppOgm3 setsnitc resporise specirc( cts foad tnp ut.
[
4, The seismtc c&nc=8 seS for ctfl ducd.ttac' s3 stems usere basoc[ upori the Opercdrn i (osE). i 5.
f6 asis Ecsth)uake .
i Ho evtterna 2 pressare loabs Lae{e consnSececN t n the osvia8gses.
7_ . 3 LoAo FAcToes The ompetptcciovi pacY; ors used un the j HA - 09/8 9- 63 6 avia23ses are deftned as {08#ou>s, I S SsE 7.PA
, Of3 E 2PA f
9= Sss paw Acceteewnos S S E. E,P A The vafue3 used couesponcj to z%,
davnpmc, Response Sped <ct. The Spectra ore taceuded '
cts Ft3uves 2.3.1 througb1 2. 3.12.. The SSE
< s gui E Ref G anJ ose,s p u E eef G
' ~~
- HOPPER AND ASSOCIATES
. ENelNEERS CALCULATION SHEET -
TITLE: E OPON SE- TO CONC se N I4 care: MAR b y pace: 5 susJacT: A Natvsi.s A PPEoAC H sy: A . R . cc + sMr:_3,_or 7 r -
s I
Thus, por Seab 3 ( Ev. 681. 5 ' )
Sy3 = . I39 L,
= z. 3 9 I i
Se.w = 43 , z. 9'1 5 155 ,
I
=
b vser . 5 7_ s ~2_.83 l'
.I B o ncl,
= #
Ds _3 3.9 = B.s 39 Dg w
- 3.1 =. rp , 2.
43 l e L
D vsey = 4.l = 93 j 52 $
L-ono Fnc. roc = 5>D i
3 L. F. g.3 =
2.39 x 6. S = 2 1. /
L ,r. e.w = - 2. 9 9 x 4.1 =
/s.S
. i L. F vee, =
- 7. BS x 9. S
- 2.2.. B i For Swnpa cti,3 , a. L o ac} . Fa c br f 2 'Z.
was used w cJe thia dweett ons.
i l
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y "
._ ~
- 1 I
- HOPPER AND ASS @CIATES !
ENGINEERS l 1
CALCULATION SHEET I
, TITLE: EFsPON5F -rp C.OedC G c rd /k DATE: f-d A P
/
9 '1 PACE: b '
susJECT: A NAi_vsis AppeoncH ey: A . e. cx: tup suf: # o, 2.5 l Fot $8ah 6 ( E t_ . 604. S' ) !
Ss_.s
=
93 .;;. z.ws . <x3, J < yi ;
.r
- z0 t.3 ,
ole dweettons to l
%.u =
. sn -
- 2. n i 2*
mo tvtko rn tonsis'ioncj b vecr .
51 = 1. b uJtth Fewor- P,onea !
. ~2,.* !
' co6cueat ons t !
ct nb, l
D s _3 = 4. : 0.4 MS !
Dg_g = 4. 0 = 9.4
.SH D vee., = 4.I = 75 i 52 .
The Loah Fo, teor es theafore t
=
, L.F. n_3 2.955 0.4 = 2. 0. 6 !
L . F. e-vs = 1. '7 x 9.4 20.0 :
- i L.. F. ve e r = 2. 6 ,c q.3 3 7 p.5 I i
C< t d (Of StvVly0tct U , Os l.-Oct FmC .O r 2.0 usas usocl % cJA sh<u deedtons.
o.( l No re: VertLcal sfec$fa are foi eeactor Bwedtso on2
~
3 Verhcoe specha por %<&o<3 6 ed3 are st3n.ficodQ fouw. Thus, verbcoe dsrec$ ton ts e.onservcshve,
' ' ~ " ~ ~
. tNKiLU t- t M M i a % oi M s hr 'or !
' ~~
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SYSTEMENGRch-[ANAND Y. DAT 3 .
SITE SPECIFIC EARTHQUAKE 5% SITE DAMPING v
CU 5 /
. FREQUENCY IN trs so.o 'za.o 1c.0 s.o zo.c"_ ,' , ' , l , ', , , , ' : ' ' ,' l ,' ', l , l.',l '
,,,, l ' , ' , ', , , ,
z.o
,':l ,'c 4
'll l ', l , ', , L=
c.!
1s.e:
[1 I 1
ao.e_ _
/
f 1% DAMPING ;r'
..e r: . -
2% DAFPING -- o 8*
/ /
! / /
f SX DAMPING 2
f // / 7 7% DAFPING -
[ , /,/7 1E DAMPING ~~~5
, / / / '
s ru ,/ : .
E * - -
/r'/r4)d 35: _
y lE-
> i gr 3 q E
! ' '*:. i
//// NA E
[-
i " "-5 g NNN's\
h~I-8 ,$,- -
- d [' $\Y
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N YA \ :
3.
x 0.3: s :
v i 3.
c.tc '- 3 -
3.
S.
_ 3.
\
x e.1U ,
E 3.
c.cr \\\\E -3.1 5
,,g og o.c3 Y,\ , uE,,.u _
0.04 c.cs ,0.cs o.to c. s o.co c.so c.4o a.eu o.so 2.c 3.5 to TEK10D l'M 3ECBWD5 '
REACTOR AUXILLARY BUILDING: RESPONSE SPECTRuti FIGURE ^M SPECTRUM ' NODE ELEV DIRECT LOCATION ,
"S'ES-B-33 3 . 641-6 NS REA-AUX BLDG _
SLAB 3 4-- . v7. {l
.. J
,l
,27 ! PREPARED DY 7, h a I. N.
l A. KROLIKOWSKI DATE SYST'*H ENGRs . d b .... ..
. ANAND DATE <
. . I 1' SITE SPEClFIC EARTHOUAKE 5% StTE DAMPING .;.
0 6/
(2.
nEcutuct tu ces .
so.o t w .o so.o s.n c.o 3.o e.s i ca.v_ l , ', / , ', , , ', ' l ' ' , ' / / ', l , l,',/ , ', , , l,',,',',,, , ' l ' ' ' l ,' ,,,
, l ,', / ',, J:n. l
- . : 4
~ ~
Is.t_ _
13.
' ~ -
. n o.c 1% DAPIf10 io.
s.= :
4:
/- 2% DAPIt1G
- t
=
[j / 5% DMPIt1G -[ at
, /
ff f f 7% DMPItJG -
Q,/,/
- , - IE DAPItiG ~~~5
- j / :
e l,e -
9c.ce: : :.c
\-
4 ... :
=
}/r%.,
/
1 -
E
- / :
\\
!gC."SC ff 7,7
\\\
p E
3T
~
5 ' h \
~
e*e' -
ga _ a 1- f" a l -
2 Q Q -
3.r o-g g -
c.so_ g 3-
_- N 'g '
C.ct 3f C.15 ,
3 N\ ,,
3*I 3.10,,, 3*I
%5 8.05 _ 3c e.cs g -
, s 3 0
) 0.c5'
' ' ' c.03
''''''3C- -
e.cz c.04 'c.cs' ' c' .c's' c' .t o 0.15 c.cc o.30 c.4c o.c's c.co 2.o 35 c.c ;
y rEr. leo 1u sEcenos , _.
-REACTOR AUXILLARY BUILDING: RESPONSE SPECTRUf1 -
FIGURE NO.
t SPECTRU:1
" NODE ELEV 641-6 DIRECT Eu LOCATION en-ctiv at nr. BLAB 3 - }* }
g'a FRET'Arn:,u as y a .pt.*. M/7NMr74. .V. . .
L . l\ l A. K OLIKOWSKI DAT s..
' ~~
SYSTEM ENGRs, . . . . .#.' . [ k. .
V. ANAND DA'E
'% ~
3 SlTE SPECIFIC EARTHQUAKE 5% SITE DAMPING .3 7l2: l I
IREQUENCY*1N CT3 s.n - g.e 3.s 3.s :
So.e 20.5 to.e
- ~
~ 3t !
10.0 .: ,,
3 r-le70 pf,g,p gg3g ;
/---2% OMWlG -
- s. .
.i
- ,-- 4 / ,
~
l N, ,r - 5% DtW91 % s i
~. ] .
- /- _
. .... ~
5 / -10% D/MVi %
i -
ui %\f ac
// ,/ 4 1 ,;
y..E. .,', . '
~
Q. --x - -
l
/ -
~
!'"5 vu \\t [\ ! !!
E'"E eBs ,
- / \\ y x s
\\ E a
E e.u -
\
O x
em ;
- NM %g _
i ,'
_- . . g o ct .-
_ ~
- . c
~ .
- s.3: -
=
- -C S.lt ,
- . C 8.82- . :
~
9.M ' '''E
- - )
9.t:
5.DE
'.03''''''''''''''''''''''''''''''19 9 0.c 4 0.05 D.CS 010 g.13 c .00 rc,a.o is acte,ws 0.33 0.40 0.50 0.90 1.3 1*C REACTOR-AUXILLIARY BUILDING RESPONSE SPECTRUt1 FIGURE NO.
NOD $ ELEV DIRECT LOCATION ' C C,
. SPECTRU!1 REAC1DR PUILDING SLAP.
641-6 VERT SE5-C-17 ma- s.
~ -- - - - . . . - . - . _ _ . _ . , , . _ , ,
tREFALED 51:t'.bljhid!?I/; inh'd5 i
, ,. . A KROLlrCrSt! 1 ,
ITSTEll trERii, . k .... ('
rntoutscy. ces , as g 1
/ 60 23 20 to $JD 3.3 2.0 th 05 gl'
,,1 11l lill I I i l i i i ili I l li llII lill I 1 l 8 l l 1l l1 Illh 15A ,
=
10A _ _
~
~ #
I SA _ l
~
- _M% L AMPANG 5A
[ j % D4MPANG i
2% DAMPANG
> E% DAMP 1NG 43
- // :
E /d7 5
~
i 'th /// 1 <
_ ) _
N = i l
'# - Hil \M\
~
5 - Hil \\n a -
IIll \ W\
/#/ \M -
! 03
//// \\h 3
M \h -
0.,
0,
~
/// Ws% ~
E E
S -@7/ J \\\\ 5 0.2 - , -3 t -
C
~
s g (k E
%NNNu E 0.10 _
( gg
~ \' \ ~
- CAB -
AM -
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. HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET
. TITLE: b SPONSF ~Fo C.O r4 C EE./V / 4[ DATE: MAE 9 fl PACE: /3
$UsJECT: A c m tvs es A pocom i/ sy: A . R. cx: us. - sNT: i7 or 25 En .some cases, w t,e <e tue. system was clee mecI n g t. d , e t was necesscwv; :
t0 (e m ove somt vo mse (vitl L s rn . Isa t14ese s < iuc4 t c o tas ovg 'd k e 5 gocior was useJ as itn e m u 4 t <pfier. ,
s = c.> s e e. p a '
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The procedure baken to anafgtnc e c.c h s33 tem ts summangecl en Tc4 bees 2_ . I l onck Z . 2. . !
T k anoGysu.s procedun are ces foGkv>s, I. Stresses basecl on Pfuor-Psonept ouQut l
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HOPPER AND ASSOCIATES .!
ENGINEERS CALCULATION SHEET 9
TITLE: kE690NSF TO CON CE R N /4 DATE: M AE V PACE: 26
SUBJECT:
A N A L YS I S A PPO OAc p sy: A E- cK: /MS suf: /8 or z5 i
SYSTEM RECTANGULAR ANALYSIS !
NO. DUCT SIZE PROCEDURE (INCHxlNCH) 2848-1 14X14 1 2848-1-1 A 16X20 1 24X20 1 32X2C 1 20X16 1 16X43 1 16X66 1 2848-1-1 B 12X7 1 18X7 1 24X7 1 36X7 1 I
48X7 1 7X24 1 SX57 2 8X66 1 8X36 1 2848-1-1C 16X9 1 24X9 1 32X9 1 ,
8X41 1 I
8X66 1 2848-1-2A 32X40 1 .
. 48X40 1 64X40 1 32X32 1 24X49 1 i
24X66 1 24X32 1 2848-1 2B 21X40 1 21X51 1 21X80 1 TABLE 2.1
SUMMARY
TABLE, RECTANGULAR DUCT
1 ,
- HOPPER AND ASSOCIATES
- . ENCINEERS CALCULATION SHEET ,
TITLE: 11 FS PO NS E TO CZ) N_CE ff/_ /N DATE: M A c. OW PACE: E/
SUBJECT:
A t-4 $3 LV 5 I S A PPEO A C f/ BY: A . #2. cK: @ $HT: / 3 __ OF 25 284812B 21X53 1 (CONT'D) 16X66 1 28481-2C 29X40 1 29X55 1 29X80 1 29X40 1 24X40 1 24X66 1 24X55 1 2848-1-2D 16X66 1 16X44 1 16X20 1
! 20X10 1 2848-1-2E 20X10 1 16X10 1 16X66 1 2848-2A 51.5X51.5 1 78X34 1 2848-28 74X36 1 51X38 1 2848-5 10X10 1 2849-1 20X16 1 18X12 1 .
16X16 1 12X10 1 12X8 1 10X8 1 10X6 1 16X12 1 2849 2 19X19 1 2849-3 60X26 1 38X34 1 TABLE 2.1 1 CONT'D)
- - - _ - - - _ _ _ - _ _ _ _ - _ _ _ - _ _ _ _ _ _ _ __________y;_ _ _ _ _ _ _
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET ,
. TITLE: E irs PON sg ro Cor4 c ER N /4 DATE: MlAS 9V PACE: 2. 2-
SUBJECT:
A N ALYC,tG A APR-CA c M BY: A . 2. CK: AfjC SHT: 20 OF z5 i
2849-3 78X34 1 (CONT'D) 32X30 1 50X20 1 22X12 1 2849-4 12X6 1 2849-5 74X30 1 124X48 1 2849-6 10X10 1 2849-9 74X30 1
,' 124X76 1 72X30 1 l
52X44 1 2850-1 24X18 1 24X14 1 24X8 1 34X20 1 28X14 1 20X18 1 20X14 1 16X14 1
~~ ~
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, 40X26 3 ;
34X26 3 34X20 3
, 26X10 3 16X10 3 14X10 3 14X8 3 10X8 3 .,
10XS 3 26X16 3 l TABLE 2.1 (CONT'D)
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET ,
TITLE: bEMONSE rO CDN C Ej2 N /4 DATE: MAC S 4 PACE: "Z,3
SUBJECT:
kN At-YsI s A kP/E0 A C.W BY: A.E. CK: AAP SHT: 2 l OF '2 6 f
2850-2 16X14 3 (CONT *D) 14X14 3 8X8 3 ,
2850-3 60X26 1 40X40 1 2850-4 20X16 1 16X12 1 16X9 1 ,
12X12 1 12X10 1 10X8 1 8X8 1 2850-5 16X9 2 14X6 2 i 12X6 1 10X6 1 i
2850-6 14XS 2 12X7 2 l 12X6 2 10X6 1
~ ~ ~
2850-7 36X30 1 ;
40X20 1 2850-8 12XS 1 2850-9 40X20 1
, 40X21 1 i 10XS 1 2850-10 10XS 1 I
2853-1 40X20 1 32X20 1 26X20 1 20X20 1 :
20X12 1
[
24X18 1 TABLE 2.1 (CONT'D)
-~
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HOPPER AND ASSOCIATES ENGINEERS -
CALCULATION SHEET ,
TITLE:__[ESPONsF TO bNCF2N /Y DATE: MAC 9 4 PACE: T4
$UBJECT: b A/ALYGis A PPE OAc # BY: A .R. cK: a44P SHT:12_. OF. 26 2853-2 36X30 1 32X30 1 1
t 2853-3 40X40 1 38X38 1 38X32 1 38X28 1 38X20 1 32X20 1 ;
22X20 1 20X12 1 2854-1 36X30 1 i
36X10 1 34X22 1 32X20 1 .
26X20 1 24X16 1 20X10 1 20X6 1 2854 2 36X10 1 34X22 1 34X20 2
^
30X24 1 30X12 2 26X20 1 20X12 1 20X9 2 2854-3 38X28 1
, 38X30 1 36X30 1 36X18 1 I 48X14 1 36X12 1 28X16 1 !
1 2854-4 36X12 1 24X20 2 l
. 24X16 2 l 24X8 1 ,
l TABLE 2.1 (CONT'D) l
,u _
. 1 HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET ,
TITLE: (65PONSE ~1"O fE,NcBEN /4 DATE: M A R. . O 4 PACE: "I S
SUBJECT:
kN ALvsrs A PPEGAC 4 sy: A R. CK:4444V SHT:_ 2 3 0F 76 4126-1 48X48 1 4316-2 19X19~ 1 :
l 4316-3 10X10 1 ANALYSIS PROCEDURE (1) Stresses based on Fluor-Pioneer output multiplied by j factor of SxD.
(2) Stresses based on Fluor-Pioneer output multiplied by ;
f actor S. This is valid only for rigid systems. I (3) Stresses determined from computer run performed by Hopper & Associates.
~
PEAK SPECTRAL ACCELERATION ZPA ACCELERATION I
[
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TABLE 2.1 (CONT'D) I I
,e HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
. TITLE: EESPONSE ro CCHCEM N /L/ DATE: M A12 3 4 PACE: "2. L
SUBJECT:
AN A t.Ysis APPEOAt# sy: A. R. CK: #F SHT: "Z. 4 OF Z6 .
i SYSTEM CIRCULAR ANALYSIS ,
NO. DUCT DIAMETER PROCEDURE (INCHES) 2268-2A 15.28 24 1 2268-28 12 1 16 1 2268-2C 15.28 1 24 1
/
2268-2D 12 1 16 1 6 2268-3A 28 1 ;
8 1 2268-3B 12 1 ,
16 1 i 8 1 2268-3C 11.28 1
- -~
8 1 i
2268-3D 12 1 16 1 8 1 l
.. 2268-4A 11.282 1 ;
8.625 1 2268-4 B 11.282 1 8.625 1 2848-4A 13.625 1 2848-4B 13.625 1 2849-4 10 1 TABLE 2.2
SUMMARY
TABLE. CIRCULAR DUCT .
)
~~ ~ ~ ~ ^
__..__._~.~ _ ~
g 4 HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: fESPON SE rn Cns t g er r4 /4 DATE: M A R. h 4 PACE: 2. ~-7
$UBJECT: A ry A Lys /3 AF#eOA LH BY: A . P . CK: 4*M SHT: 25OF Zf 2849-5 46.75 1 2849-6 10 1 2849-7 10 1 9.625 1 2849 8 10 1 9.625 1 2849-9 46.75 1 2849-10 46.75 1 48 1 4126-1 46.75 1 48.25 1 ANALYSIS PROCEDURE (1) Stresses based on Fluor Pioneer output multiplied by factor of SxD.
OBE ZPA PEAK SPECTRAL ACCELERATION ZPA ACCELERATION ,
TABLE 2.2 (CONT'D)
.e
~
HOPPER AND Ass 3CIATEs j ENGINEERS CALCULATION SHEET
. TITLE: N9C O Oc(MT No 50- 34i DATE: MAR 8LI PAGE: 78
SUBJECT:
__ 869Drvs F TO COMC EP N b BY: A . E. CK:,,,,dL(f8 SHT: I 0F / f 3.0 Re retters ce s
- l. Feu ot -Ps oneer, Inc . Destc n Reports on H ncrof n 9m RoPQs "A A" Th rou la A H ", 7 Pro 3ect I0- 42zI , Cetent : R obert 1 rsc~y .
( Mc'croptewi Roffs a/e on ptee wtI11 DECO )
- z. DECO EF 2- 55jSss; Nove,uber 23,, is si ;
F&oof (Eesponse Spec {(cr c~ncl EnvePops R eac.ior - Auxdtcw3 B u t 8 c k vi g m e cl RHE Comfex.
- 3. Do# eri j l u vic Eegori S L- Z.6 82 , !
Sept, , /s 82.) Setsmoc GenP3sis of the Comg#ex Reackof Auwetcxrt} Sudclt.v1]
Enrtco Fermt Atomtc PovJer PeanQ Unet z..
a 1
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'l Attachment 11 to NRC-94-0050 HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET f ;
kG.5PONse
, TITLE: 7"o CON ( E'/2N /5 oaTE: A P/2 9 L/ PACE: L susJacT: TA 8 4.E OF CONrrNn sy: A. E. cx: 40 SHT: ; OI: b l
l A8LE OF CONTENTS l l
l,0 [HTe ob tA C.T10 & I l.1 PRO S t.EM brArsMENT l I, Z
_TH v&ST/6 A T/DN APFe2.O Ac.M 2 *
- 2. 0 b y s T E rvl D 55Cel P TIO t1 3
- 3. 0 h u nt ysis k pee.o AcM 11 3.1 L ogo CONoirions y i
- 3. 7. Exisrirm AN ALysis 4 -
3.3 L. o A D FAcroes 4 '
- 3. y - Anni.vsis C eirs et A 5 .
3, 5 Du ct C APAs tu7y Evnt_u ATion 6
- 3. 5. \ D ucr bection Pe-ope err es s
- 3. 5.7_ Svct<t.inc> 6 Tress 7 .
3h PRESSulz e C npasst.i ry Peac.cou ge. e 3.7 M ac sAHics Ovec. vie w if 3,9 Den.ectros Limir /3 i
AceA Rrot4 crioN
- 3. B. l is l
L
- 5. 3 APPL IED LOADS I4 i
~~
~
i HOPPER AND AS$3CIATES ENGINEERS CALCULATION SHEET ,
. TITLE: 25sPONSF To CONC g:rz N /6 DATE: A Pl?- 9V PACE: (\ f
SUBJECT:
TA BL E or C ON rsu rs sy: A.12 cx: 4C SMT: it OF ((
I
- 4. 0 hMA L YSIS 1&
4.I ANAL v515 OF 'Z. 6 4 3_ l [b 4 . *L AHauvsss of 2 6 '16 I I6 lb
- 4. 3 D en.scTios z7 b
4.3.l PANFL - Due 70 Buc gusnc, z7_
4 3 .'2- Pa sst - Due To Paessuiac zu
/
- 4. L] ACEA E Epti c7f ON 25 i
ll.6 ST,rrnees z.t.
- 5. 0 Conct assoss n l 6.0 P-evegesces za I
)
Pesenego Sv Cdu Pu nvrun" u-9 sv 0 ;!
Cnecweo av. FY 't-&14
/ i l
l I
- HOPPER AND ASSOCIATES ENelNEERS CALCULATION SHEET
, TITLE: 2 E's 9 0/v5 F 7D CDNemeN / 5' DATE:- /-\ Pra b4 pace: 1
SUBJECT:
/. O [N 7R ODu r TI O hf sy: A .2. CK: N SHT: I Or ~7 l.I PeosteM STATEME N r i
On Marc h 3, ises , the u. 5.N.R.C. su bmtttec}
Docket No. 50- 341 to Detrost E'clnson Compan .
Thus Docket consnsts c( cr request.por oddettonae e nf orm cd t on on Ferm t 2. CC HVAC s3 stem desgn I cmb ofecotton . .In parts cu0cQ there ode sevem2 i concerns tv ottchn the struc$uro,0 cv,tegrtt co Pcu ecsI.t G% , HA - 05/83 - b 96 anc) HA- 09/89- 696, !
performecl b Hopper f h ssoctcdes.
Thts pa c t<ac e t s prepotreden archer to to one responcl of the conwents posecl b the IN R C ;
re3c#dwic- HA - OB[BS - 69 6.
Home0 ,
3 Details of th9 calculations to determine the maximum permissible internal oressure from the stresses under combined loads were not reported. Maximum permis-
. sible internal pressures are shown for two load combina- ,
tions: DW and DW + SSE. An examination of the stated values indicates that for the rectangular ductwork the ;
permissible Internal pressure under combined DW + SSE i loading is higher than under DW alone; in fact, in some sections it is considerable higher (in one case about 20 times larged. The basis for these results has not been presented. Since the details of these calculations are not shown, it is not possible to assess the quality or validity of these calculations, and the maximum allowable pres-sure results must therefore be considered as ques-tionable.
I
- i
- HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
, TITLE: b FSPOrYs F T-Q C n s c tr f2, N / 6 DATE: A Pia 9 Y pace: 2
SUBJECT:
1NTR.ofstA c Te ON sy: A. I2 CK: N SHT: ~7, OF_ 7-l l.*2- .[~n VESTI C,hYt ON h PP12OhcH From the 65 d uc ht.n] s3s tems reviewed tn HA - O.9/ B S- 6 9 6 , EWD duck St}ES WtOS be c~ cleIcu-decl eyaeuaitoa.
chosen .f or The basis .f or .seeeciung tlae f.wo d u c t i st3es ts to ccgiu(e the regresenhttve :
p<ocedute used en c~n ae gtac can systems.
For %s reason , owe of the duct suges wM 6e shown not to buck #e f unde < csr3oc4cita3 .
cornbtocstt on , c nd the other buckfes under itne D e .s e ts m t c Boa d i a .
An omcse sts expprocxc h gor deteventvun ilne rviaxtmum offou>c(bee enternoie pressure !
wipe be shown. CA delcueecl cc ec ato , ;
of two represon-Lcutuve dutb stges weef ;
be peyormed to devronstexte the procedure.
-,---a - - - _ _ - , - -
-. . - _ . .- - . ~ . = . .-.
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET .
TITLE: RCACONSE T'O CONC Erm 15 oAre: A pe 9 Y pace: 3 l susJacT: 2.. D 5 V5 7EM CES c c ipriOri sy: A. R. cx: O sNT: I 0F f !
Svs,em D seeaprion Defauleb ca 2c u0cd LOAS vJt00 be fEff Ormec (Of' tvoo duct system.s , namee3
@ 2.0 'f9 _ l (sucy site 26'xf6')
i
@ ?_ 0 4 8_ l_ IS ( .Duc t sits 7 'x 2f)
These s siems, oa <epresenkt t ve of cdA ;
the r e ctong ufor duc.i.5 re v ee u>e cl u l HA- 03 /69- 69 6, j
sysT sM c o c A re on G A c, e Twic ussss c,AVAruaED f
GASE ME TAL- l i
Q 2 6xl6* Sune 5 Ie .0516* . o n s' \
l h ~? y~24 6t A8 6 JB . 051 b' . 04'? 6
- i 6 Ti F s: r4 E R I An k l L
- I E.z x E6 9 30' O.C.
1 i
~' '
HOPPER AND AS$3CETES I
.. ENCINEERS '
CALCULATION SHEET TITLg: R EsPONs E ro CONcnRN 15~ omia: A P/P_ . b4 pace: 4
$UBJECT: 3.O A NALYSJS A PPEOAc H By: A . E. cx: M sNT: # or / 2. . )
I I
3I LoAo Coso:TsONS l
- l. D en o Lone l 7, D s AD L o A D -+ bstsMic 3.1 ExisTinc Anni. vsis :
an c,nsf sis og the duct 3 g .s3.s tems vaa s performe d 6 FEvor- Ptoneer C Rep I ] . The (e.svets of these ana-Q ses care documented ;
on form of cle.sgn reports. A Et the .stru clura/
eva 8ucil Ca vJork on H A - 0s/83 - 696 te bcs.secl apon cicda contc.t n ea tn the.se desi n reports.
The a.ssu mpts ons mc cle bj feuor - P onew - !
cve sa mmwt geci en un - os [es - 696 3.3 Louo F a c r oe.s i CAs 7]
dssc usseck t.n Resfonse to Concern 14" [Ref the. f o20 cwt.m eoac) factor.s are usecl to j ima nify the Ffu or - P(oneer L ood s ,
S uns 3: L . F. -
LE !
S 'as 5: L. F. =- 2 O 3 -. ---
- ^% )
t
- HCPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET i
, TITLE: bFSPD $ 6 TO (ONC t#EN (( DATE: A Prd. b Y PACE: 5 i suaJECT: AN A LYSIS A PP,2 0 Ac. 4 sy: A . P. cK: @ sNT: ~2. or /L i 3.V A n n ussis Crz rreci a The duct stresses ca comparect to the l re q at.<evn ents of kN s tl'Astu e N s o s -19 so, P 5.10. 3, 3.
C Ee( 5]
)
L) For Normcd2 P2amt O eratton L oc4 d5 f j G22ov.hbee 5ttess = 0. b og gte2d stress L
' O For Com bt nech L ocds, enc 2vchv,j 6 ete Specogic Ecsethqua ke. (SSE) Comds, f
CdaovJcA OS2 bbfeSS = 0 0 Of jLe2Cl 5{ fess t.G) for Def eecktov1 l Panee - g V ' (>er foot of ummnwen pca,e2 sfcm, l Sttyner- Yg' per f oot of 5fav1 I
i l
I
HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET ,
TITLE: kESPONSE 70 Co N cE M /6 DATE: b FR 34 PACE: b sus >ECT: A N A Lys is APPEDAC H BY: A . 8. CK: O SHT: 3 OF f "1.
3.6 DLACT C A PA 8t uT Y E vauu ar,os
-3.Se h DLACT 0 E C T!Ot4 PE OPEE TIE S Y :
e 1, s (3b4 d x _
i*
- i
- 7 11 +.6 b' ( 6 43d). .
Y l SYSTsol d b t L (e d Iw (, A ;
G ALN. SA J2E G AL Y. SACE G A V. BAEE O
184.9 l 16~ 2.D . osi v . 0470' 167.3 165 233.3 Z/6,9 .
t
^ # *
- 2. 6 4 6 l_ I S 7 24 . 05f i .0478 33.3 30.6 7.22.9 206.6 ANG.LF Ik' ,
, g- } = [1. 5)( k ) { / 4 - VI,) + ( ) 5)('/s) ('d )
t- %, ~L(l.5*P) g !
G = 1.034' !
J I I,, = 0. 6 9 C '2 U , ( i.s x Jg ) (i.osy- y)*
l '2.
+(I;5,lg)(.5-Q_g,g3y)1 I,, = . 0,3 t ,, 9
HOPPER AND AS$3CIATES !
ENCINEERS
- f CALCULATISN SHEET '
TITLE: (2ESPDhis E ro CONo=cN /5 cATE: / % F /2. 94 PACE: 7 I
susJact: A N A t Y51.5 APF/2 oAC M sy: A . e ex: @ sHT: 4 OF. / 2, i i
}
t B u c a t_imc, 5 rees.s 3.5.2 [ Rep 2, P3 350 3 j P&te e2 ash e compressrve bactzem stress. l 3.s.
__ t 31 m % i Q = K 11 E h < b '
- 12. (1- t )') 6/ y - l s s- , .
Lohele ) j os '
E = LSw/O'P3' ,'
l V= . 7. 9 f h = .osn' !
( 3ae<am3ec0 04'78 ( bore )
k b
<=4 ( 4b ,i} j
=(a._ 6 K
& =
c$ th$ance boYeEVI s{lgr1ef5 I
b on) c< on) 6fa, x l 20 30 cl 4 24 30 <l 4 !
l For *L. 6 49 l For *?848 I-lC Tec = 633 ft (foEY.) Kr = 402 00v f St a v;, = ses p, c baa) n - vis p, ( bare) 1 i
I
- HOPPER AND AS$3CIATES j ENGINEERS CALCULATION SHEET
. TITLE: 8 EG ID N SE' Ti? foNE Fr N /6 DATE:_ A FC_ 4 PACE: 6 susJECT: A N A LYS/S A PP/2 CAC H BY: A . 2. CK: M SHT: 8 0F f 2, f
For k.or sn ovl bac. k8tn , shechf stre5 s,
// b ss
.. s a. ,
h ;
a r ,, , x ,"_ r ,( )' T. Rec %
- b#e 35~
Case 4 3 when ,
G= 2%+10' pSr V =
.LS I
ld =
H . '1 , % e A cuvet botAnb for on en{wis &
pfcdC
- i. . 0 5 1 6 ( g o Pv. )
. 0470' (. base )
For ,
b Tcv ( G8v ) T e y- ( b are.)
to su esc mee g,,
7- H G % l)so 553 f>s )
, .o H@PPER AND ASSOCIATES ancimeses CALCULATION SHEET TITLE:_ E s% PONSE~ TO CONC FC I4 /b OATe APc. 9 9 pace: 3
$UBJECT: AtvAL.V515 A p p e D A C 4-l BY: A . R . CK: D SHT: L OF / 2.
3.6 P.eessu te C aa^ e m ery peace oute Recknguear duet panee dtmen.ssons are baseci upon the cross -sectwn ude 6ength ancl the st tg ner s pa ctng. Os strnpfe o<viogsts cggroa c to shouM befocg taas taken to detemme the cdQotaabee opemteny pressvres (oe vanous stress condittons, Fcona Tt mos k enico's Theor of PEates ancl S hefes , 3j P g is3
[ 2ef M en1 bmne Stress ( rnax.) - '
% = 17; = E LA* / h_Y F
~g ,}
b (I- v*) , e ) :
Ben dt og Stress C max ) - ;
F=Fi=
e $'(N Y(u) i [Ea2] !
1 P, (u) = 1 ( u- tan h(u))
uttanhcu)
[ Eo 3] ;
u t.s {ound from !
1 E* he =_ gi u (i- #)'y CS If, u'tanh (u) 16 u' s to h*(u) p*8u 4uB g
s l
l
[ Eo 9_ !
l l
l I
1
' HOPPER AND ASSOCIATES ENCINEERS ,
CALCULATION SHEET l TITLE: f2 FS 90 N EF ~7"D CONIFEN /$ DATE: A Pc- h4 pace: io sus >ECT: AINALNSIS A PPEO At H sY: A . lE. CK: @ SMT: 7 0F 1L l LAJ hefe, l
E
- LSxlO pSt i
V #
73 ,
s h . osis ' tgoevcintg4J)
=
.ov78" ( bore ) j i
=
ffessafe un C
f3t The pre ssure ccp a biecites c<e c a#cu fa ted
[
seismic &ad condtitors. If the neeJ oseight +
l Se t s m e c- Goad pressure es Bess capc,bdiL3 l
%cm the Deadwetchi Comd cagesbiet , onF !
3 the mem bec.ne st< esses cae cons.cle<ed. Thus !
tA' t. 5 Se Y(mLVeN ddec $ f cOM {EO l ] , O^ b tuen ense<ted twto Cea 8 3 so soeve po< i caeowc, bee pressa<e '$' . ctgas a , ss prezsu<e i
copa6,e,tg i.s beaed on membrone stvess clone, stnce vanishes uitik bendm3 6 tress the formatsova 6 of a hmge 3 greedm3 l ot tke bo a ndones.
)!i i
?A . _ = - - - - -
. .i l HOPPER AND ASSOCIATES ENGINEERS !
l CALCULATION SHEET ,
TITLE: E F4PANSF T'O fArge_FE_N /6 DATE: A PE_ 914 PACE: //
SusJECT: A N A L.VSIS A PPEO A c. R sv: A . 72 . cx: h SMT: 6 OF_ l Z. {
3.7 M e c snsic s Ovrtvies The foadie aetwig on tue d LAC (5 GS sh OvJM !
1 :
m
~~3 w w= ##
~. ~.
I NNhb' nym~ sguy f M,,M 1 = L ond te due to Deadwe5hi mVid ;
Seismtc.
=
[3 Loac!mc; due to Pressure j w
- )
s n ess.- s ets - c + oemdwegkt
/ /
{
l SneSum. ,s 5ga = Ga d.hy n ue i
- f b
/ Sow- 'Deadwei0hl !
7,s.sco 3 # st<ess !
cornec '6 ts under worst uxse. -pression l corner 'c* ts under w wst ecue tens ion j I
e a
~; ._-.
HOPPER AND ASSOCIATES ENGINEE05 CALCULATION SHEET
+
TITLP. 2 EsPONss To b t4 c e r_.N /F DATE: kPR l/ PACE: l '2.
SUBJECT:
b N AL Y5f5 ApreonCH BY: A.E CK: N SHT:.B OF # 2.,
5 reess - Pressa re
/ Pawe N 'g 6t^P ,
y SL -M ' '
p %--5 4 Sm -
Membeme Stress due. to gre.ssure bb =
Bendth Stress due to press ure In our .sti ac d ovi tbe voorst case faccd<ovi (s cut com er b" takere he sicde of st ress ts os. showvij
, Dod !
V 5"
v ;
58 5m
%, ss 1 ,
s$
Sco !
s.
Sow From Trescos cette/ con [ Eep L , Pg '517],
3 teed the maxtmum sire.ss t.s.)
Saw + 5eo + Sb -+ S m 6 . S S y.evd 1
,' HOPPER AND ASSDCIATES ENGINEER $
CALCULATION SHEET 'l
. TITLE: kF5OONSE TO CO N C F E #V /6 DATE: A PC. G 4 PACE: 13 susJacT: A N A LYS f s A PPP O A C H BY: A 2. CK: M- SHT: Io 0F JE 3.6 DErt- E c TI ON LoMIT 3, Pg 15 3
[ ICef i The mmtmum defh etsom on c~ pwwd es e a ec u Ecde cl from, u) = a f" p,(u) [Ec 53 38'oD D= E h3 [ Ea O
- 12. (1 - 92 ) ;
p, ( u ) = 2. 4 'ut u M [Eo 73
- uv L T , sen h u T
tanh u u St g ner def eeciton es ca 2calcdecl fconn, u) = 502" 3 ey s2 p = *lun [ Ea 9]
3.B.I A een R e o u crios To obiata an t^pper bound a<em reduciton, -
cxssu me pc<neQ clef 2 eclon o c c u.re s caosac\ -
tke evttere penm ebr.
A.R.= Ao- A( , ,ggg ho l Ao : I niti n d cross - secbomae esem b \
A L = A rec < & Ven clef PecLt onn
- 5'
- HOPPER AND ASSOCIATES
. ENGINEERS CALCULATION SHEET
. TITLE: /2EsPONSE TO CONCER.N /6 DATE: APE - 9Y PACE: /V sus;EcT: AN ALYS/ S A PP/2 OAC H sy: A . e. CK: M SHT:_ // OF I Z,
- 3. 3 A ppcien l__ o^o_s C Rep I .]
1649_l F~< owl FEuor-PeOMk Outpnt Dec<d wet ht, ro e.3, os =
0gt#
Pl, Cou r- pcass)=
2 ft&
Mz68 - puw& zu o pt _+
6e tsou c , tncPuclu,3 t oaJ !% cl.cc
<n o et epher, TC251 oM = I ( 20 ) = 2 0 g.# f N. Cou r- acesi)= 3 Czo) = 60 pt4 Nt(is -gL me)= 4 (to) = 0D pt#
2.898._l_18 D e ad we<pt Toesios
= 8.05 ft#
M , (Our- Pt. A s s)- 4.s L, gi #
M t(IN - PL ANE) 257,3 (y
.." HOPPER AND ASS 3CIATES ENGINEERS CALCULATION SHEET l .
TITLE:_,, 2 F S PO N S F -rD CONcs r2 N /3 DATE: A PE . 4 PACE: /6 susJacT: A N A tys s - A PDE O/2 ( H BY: A E CK: @ SHT: /1 0F Al SetsM L c. j TOCSn 9r4
= IS (LO ') = 300 ($ 0 M, (OuT - PL ANE) 43('LO) = $6O pfY
%(IH-PLAME)=Lj](39) = gyQ p{ g Note : FEuor - Pio.ver dicl not pubgeh o-xs al f orces. B+t baseb on the t.ype of anc<Q sts perf ormeel, 3
tt w apechd wt me forces wiee not be sgnpcad.
l
_ _ . _ _ _ N _____ _____ - --___ - - - _ - _ _ _ _ - - - - _
b
J' HOPPER AND ASS @CIATES ENGINEERS CALCULATION SHEET !
TITLE: E FS AJN5F TO CotJC EPN /5 DATE: A Pf2 4 PACE: /b susJacT: l-li O A N A L VS15 sy: A.2. cK: id SHT: / ' 0F #
~
- 4. I ANA1. v515 or 7 949_/ '
D w / -t Presswe l pi #
M,= ~2.
M 7= 7_t O p # l Fow -
Ms ( )( ) ,,,
M. ('* yt ) (
- r. ,
in
= (210)(1 L. ) ( 16) , (. 2_ 367 ) ( 2 D) ( a fy, ) i (t) ( 167.3) (2 ) ( 133.5) i
= 121 psi <4: 6 93 gs , ( afy,)
.', No bu c k/m q !
J !
= (7.I D 3_(#2 366) 4 ( 2- ) 6t M2.o) ( bare ) !
tz)(iss] (z) ( z16.7 3 r t
=
/3'l psi < 595 ps . ( bcae ) ]!
Ogam, No b ucke< s, -
T~o cabc aEde the anotaabf.e p<ess ue ,
%+ (vg.-r n ) -= . 6 7-y I r2. 4 ( tr a, c%) = . I, (36, occ l (g a fv. )
ve+ v% = 2ijn 8 pss Cg a20.') l c's + % i t ,4 6 8 p3, ( bo e ')
The digerence beivuet$1 gofvcet3ed oncl bewt m eici 8 t.s s m ciff , '
.. . - _ - - . . . . - = --
HOPPER' AND ASS 3CIATES l
, ENGINEERS l CALCULATION SHEET !
TITLE: OS PotNLE TO C o olc EE.N /6 DATE: A PR. 9 9 pact: 17 !
SUBJECT:
bNALV51s sY: A d. CK: O SMT:1 0F l/
u smq the e $ aat c on .s h ow n u, se ci, on 3. 6 l u
of t k.s package , the pressuie 'f us clebimanec!.
G ddwi [E o 13 ced [ Fa z l we c'ek e .
7,w + % : b if \L ((
4 O [3 ( u. - Dcwt h (u)) ~
3(i- v')\f/ h L u% h ( u) t i
SoPvo ig f or 9,3 ,
Eu h ' a hC ~3 r u ton h (u)T-'
h'=L( s p;;)
3 (1- iM 8 TJ J. e t a n h ( u ) a 6em, eor 23 soev,,3 Lea '13 .p or c,,
~
C= E'k' BI 2? 27 S
? 3.-creS lt 16u%nh M - is u'ste h2M , S v ' su" cr soeuitoa c3 oboed 'u' '
63 tteratw31 unte 9, = p. l Thu s, for 7e
- 7,,, - t I, H9 6 ps o , E = 2 0 '~
ak u = 4. o (gesev. 3 u = 9.G f ( b a<e T l
c) ,= c,1 = . 655 p s,'C ") o = p: .60p, ( " 3 j
or , cJeowmb& presswre es, ;
c' = .65s(6' n.7 ) =
I e. .I *HO 2 :
i (2aev.) -
o=.60 p s ,' or 16.6 "Hz0 ( bare)
l' HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET
- TITLE: (ES PON_E TO COr4r E: e N /5 DATE: APR 9 4 PACE: 18
SUBJECT:
AN A LYi !I s BY: A . 2. CK: M SMT: 3 OF_ ll D wi + 6eiss uc + Peessuee td =
00 (L # tat = 6 0. (t b
% = { B O 3 6d (16) , f 60) ( is ) ( 2.03 ( a ev,) i 2 (l67.3) 1 (.2 33.9 )
=
r19 psi < 6S3 ps[
. ' . t40 bacic0vic J
= (60 ) (n )(/ed 6D (12. ) (Z6) (bave)
L( 155 ) 2. ( z. l b .7) i r
= B3 ps < 595 p t. . i Now, !
l fpvj + V5 + LV~a
- Ym ) = 3 Ty t
i (21 - 77 * ( re ,+ G ) = ,3(36000) ( cifv.)
1324 03 4
(. r a + m ) =
3(36000) (bove) .
So, F61Q= 32,2 00 ps[ (ga8v.) :
Fe, -t = 32,185 ps . (bare) ;
Soeving for cp as before, od ue 9,'? 4 (gofv ) t.A = 9. 5 (bare) c, = 1. 2. p s / or 32.G" H z O ( aPv, )
c, = r.1 ps/ or 30" HO 2 ( bo<e )
t 1
i
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: RspossE ro C;]NC Era N /5 naTe: Ape d v pace: /9 susJacT: A N ALysis gy: A.R cg: N SMT: l/ OF //
4, 2 A N A LYSIS OF 'z. 0 4 0_. I _ i s 1 D wl- 9e essu ite M , = 4.56 gi, & M3 = 257. 3 p t #
% - (2573) 01)(.7) , ('t.50 (it ) (vf)
- 2. C 333) t (222.s) ($ dv.)
= 327 < 4 0 2. p3,
.'. plo bu c l<hnc e
= (2573 (n')(7 ) . (q.56; ( ,t ) (2n ) (g,,')
z ( 3 0. 6) t (2.os 5)
=
35W < 9 /3 p s ,
%+Cr4 t7m e ) = . b 177 (V64 Tm)Q ?l;273 p5: (Te + CG, = 2I2.% psa cd., LA = 0.5 (A - .9 . 2. C barel (goPv. )
c
=
.53 PS' or /t.6' H sO (cgafv.)
or c; = . 4 6 psi /3. 4 ' Hz O (baa) l
- HOPPER AND AS$2CETES l ENGINEERS CALCULATION SHEET
. TITLE: kE < PD/VSF 70 foN/ e E N /$ DATE- APG 9 VPAct 2O
SUBJECT:
A rvAc.ys a _5 sy: A R. CK: O SMT:._ 5 0F /I D w' + S e ssMic 4 PtESSu a E M,= 860 fe t M t = S 40 pt$ >
i
% = (. 9 40 ) ( rd ( 7 ) .+ ( .B Go) (n) (2.'/) '
~2. ( h3 )
- 2. ( z.22.cD
= >
l74I 4.01 ps,
.'. bu c ketvi o c c u res. !
The e(pecLve st<tp \s dete <m ene d .(vom l c= TTh IE . _ _ _ _ . _ _ . _ _ ,. o V 12. ( s - W) 7Y 0 "
otsa ,
=
l.3 S tr c L ~~~~~~~I ~)
The a$nietbwiecl sirerse.s cee i.he>1j
% C 2 c + z M + & ( b - ( z ca M - 67 3-, m,)b mm C z . BS ) + + 0 2 (2.4 - z. s s 3 = (174/+327) 2 4 n, = 13, '9 0 0 ps.
14ow
%v + (. ev r n ) = . S fy 13,700 , W y rm) =.s(as, coo)
( 7a + %) g, i B, 9 00 p3, cJL u = 9.s r ( g aev. )
v u- s.6(bue)
} = . 4M pse of 12.1 H, D (gaev. )
c = ,'to ps, or //.2. HO z ( bare)
. HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET TITLE: PFsPONS ET ~TO b NrEEN /6 DATE: APfl 98/ PACE: 2l q
SUBJECT:
A N A l-YS IS sy: A.E CK: 9' SMT: b OF ll ,
i h5 m2kbt0MPC O*e DW "
f f2 Vo OLAS 0, ![
Seise"c Boad pre.ssuve capc>, bi At] ts &ss f bhCw? O \/\[ f Ooth c.c4pc4 be 8t.b] , O*10 ilde membecme Wesses a re cons, h recl, T h us, i u' es d eterwn ne d from l t7 m = E v' h = 18,700 ps,
~$ ( t- V9 , ,
I LA)Nffl.,
/ - 24" !
?
1 g_ 3(I . ~L 9' ) ( l @ 70 D) ~ 7_ l/ I 6
2.cavs0 4 0516 l u = /s.6 ( goIO ) u= 2.t.i c duet I ns e
susJact: A N A L.V 57 5 sy: A. rc . cx: @ sur:_9_op //
- 4. 3 D F rt.Ec T s ON !
9.3.l DANEL. - due ko huck l h) i 1, en,, arms 3s,s tse emc.za,cl s3 stem ts E 89 6_1_ irb D u c. t st e 7 'x 2 9 '.
The fargest jacov/ stge u 2 9 "x 3 6'. :
From 2
, Pg 4Is3 E 2ef UJ = COS to s F Y_
Ib th l t
Ld hP/8 3
-Q p-= 6.4 7. c?e - H. o s e h' '
s.ses , <
6= ( l - if ) G E
- o. = h. vas b t h , 7 4 /2 = 12. " !
h= . Sit" ( g a Pv. ) l
.o n s" t ba<e) 0 = .23 )
E =
IS y/D' [>si T ht s resuft ts po/ c~ st mp(>g 3upportec, l sguore pfaic foaclecl cxbove tts dasitc
)
" I
- HOPPER AND AS$2CIATES ENolNEERs l CALCULATION SHEET
. TITLE: fFs90nsE -r0 CDNceRN ff cATE: A P/2 3 4 Pace: 23 1 susJECT: A N A L VS f 5 BY: A . R , CK: O SHT:. 6 OF H buc Wetn3 f i md.To . obtom c~ bour de i de Pe c.k ton vCL[. tat Ofrec.(GA]tAOof pfates , muettge3 the defeechon 63 l (c cLoc of z, to obtem o. wnservattve rewet cr 5eRecLun]~ > .
x= =0, u.e . a.l center cy plate \
w'= 2.f:
For % 2 4" \
l
@= 40t ps, (gaFv.)
i y i3 ps , C 6cwe ) t
-4. :
f 6.91 ( st f 0 .264 et ) -- 9.os e (. os<& !
T ~ZBVID' ) i
- 5. e ss
[
= . o 3" ( gc Pv. )
p = . 0 3' ( bare) !
W ' = . 0 % 2. = . o b" !
l
(
~
I HOPPER AND AsSSCIATES I ENGINEERS I
CALCULATION SHEET
. TITLE: OFS PJ/VSE TD CONCFEN /6 DATE:_ /A /2/2 9 Y PACE: ~2. 4 susJEcT: A rvo u wis av: A . rz. cx: e snT: e or___ lt
- 9. 3. 2. Pasec -
Pressure h "x2 9 ^)
A c corcit o 10 ANst N509 - is 90 CE 7 53 bke m ca t m tsm pcme0 defQeciton es V"s per foot C){ mc~x t m tam pa ne0 sf c, n. ;
In our cese the m o t vv/ ta m spcevi ts Lhe ds5tcstace betaleevi s tty viers , t. e 3 O' . Therep o<e, r=we - w' = k ( y ) .os = . 2st s es i bo2vm [E a 5], SecNuon 3.6 f rom tn terms of 9, C = 364 t4> ~ ~ ,(12)] ~'
D[
Cteso, C, = E
- h6 91 _ 27 -t r 1. ( 1- L/ NO , _ 16 (f bOM h ( LA) I b N 51VINL4) 27 9 r_
yd B u /' y' ' Y t I kvctitM (A wiff gie/cl tlne cJfouJct bec pre.s s(A ve ,
ca $. V = 13. b C mut = .36 4 ps
- o r 2 t. 7" n,'O (ge) u=I4.65 c ,u, = ,7I4 pi or is. B' n,p (tuch 1
_ __ _ Y
- ~'
HOPPER AND ASSSCIATE$
, ENGINEERS CALCULATION $HEET ,
TITLE: f 65PoN5E TO CorfCEEN /E DATE: APG 9 4 PAGE: 26 sus;EcT: ANALYs15 BY: A . E . CK: @ SHT: /O OF f/ !
l
. +
- 4. 'l ACEA 12E D u cTr os Assumtti { Lie game [_s wi88 de(8Pd M j A NSI NSOS-/9BD ctffovvcs b& chst anc.e ,
he reduct on m ouyPovo aren es determ wed, UJ % =
h (k ) = . 312.5
, A, , A , f2 = Ao- Ai '
/004
. +w N gL N ,
Foc 28x/b" 2 0 x / 6 - 2. [ ( .'6i t 5 X 11) -+ (.312 s X B [' /007, f
zosit i
= 8 6.) h Geft over or 3,S"4 rebuctsotn For 7 x 2 v' i
gg_zv7 c C c.3: 25)(s.s3 + (.31 ts3 C it)] , f og )
24x7
=
t o ver or 5.6'4 rebuckson S 4 . 2. "4 .eef
- HOPPER AND Ass:CIATES I ENGINEER $
i CALCULATION SHEET-TirLE: hEsPON"E -r0 CONC E:~r N /5 DArE: A prt 9 t/ pace: 2G f
sus;Ect: A tv AL.s is sy: A . e. cc: b sur: // or il
)
4.5 Srifrmee t Zn tks s avioA s ss the 2cnc esi sbg vser 3
7_ 4 ",
devigth t5 CA c c o <cl t n} to ANSI N503-ISSO the ceReotdable S tLff ner def'ec$novil e3
%~ - 4 (?!O = . t s " l 502v t vl 63 fof E Ec f, P
P = 3 e H E1 '"~
S 2" i wben, I -= . D '7 5 t o "
{* z tv " ;
f= 3 84 (2S/o') ( .07s3 ( .7.s') l 5 ( 2.9 P f = /3L '#[t m Nous C;mu =
,P -
Where ot =30",tvibwEcsr fenc tk
(; +u = '31 = q, y 3l 3o i
of I 2 l* H2O
=
i
~~
HOPPER AND ASSOCIATES ENGINEERS l
CALCULATION SHEET TITtt: P E 6 P Drvs E rn CONC re sv /5 DATE: A DE Sy pace: 2. 7 l susject: 6. O C ON c t-u si orvs sy: A R, cc: @ SNT: I OF_ 7 '
9 CO NC L tAS ONS .
.Tn respo> sse to or commen'l posec\ by the NRC sn D o c l<e l N o. S D -3 'l l, a.
mo(e dej.DtEeb frocebtWe f of ccdcv0cuttnj l aff owe b4e pressu te , c(s pu bets hecl en -
H A - D.9 /0 3 - 69 6, ,
t.s gresenlecl. This ts. cschieved b sefecitrc. twO represeniatwe ;
s ductug 33 stems etnd per(e orm ta detac#ecl ccecedcdtons to deterrntne the cAouwbee 9
PfCS5afCs A stammAr th-e restAdis L5 sh 0LW) of cm Ta bPe 5,1, l-lowever, the resufis cwe not as tvnportoat cas the protecltve t vi ob'lctLAtHj them. The gugo3e o thisgecle e es to e y p a rack o m Lhe fesvEls .pa b&s heck tr HA - 03/ ec5 - 6c) b.7'hes. os c4 c h e e ve c- b pro vt ch n3 x sa w1pee of c2ew oncl com] peel ccJc u ecuts c>ns. :
- ^
i o E $
s a r-I k M
,i 0
- f. m I f l 7
, D O O 2 l
- 2 0
' a m
- l. I c
in Summary La h
0 System No. Duct Size Analysis Type DW Allowable Pressure h p DW + Seis. DW + Seis. (membrane stresses only) U (inch-water) (inch-water) (inch-water) 7- 2
+
0 n n n
2848_1_1 B 7"x24" galvanized 14.6 12.1 '-
150 mD y 5 i
g bare metal 13.4 11.2 137 C 2 b g>
oZ s d 30 2849_1 20*x16" galvanized 18.1 32.6 -
AO2 =>
, 23 bare metal 16.6 30 -
g O
- a
-, -,5 n :
TABLE 5.1 Sussacy og R e su t_rs ? y P w n n M
Lo s s
.- n l N
% N t . m
! N i
1
{
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET '
TITLE: k MPOr1CF rd CONCEEN I6 DATE: A PC. b4 PACE: 23
SUBJECT:
b.C fEAERyWcp c gy: A, O. CK: M SHT: I OF 7-R e pe ce n ces l
- l. Flu.or - Ps oneer , In c. Dess3n Reports om l
H scropoem R OEPs " h A* Throv h'kHj Projec.Y. /O- '12. 21, Cesen b : [2 oberi It'sg. i (t4icropievi 2 of4_s cue on g,ee u>ith Deco.) :
- 2. seas tic Tu<n os henWo f Ge<e . " Theo o(
S ta 6,4d.3 , 2. 0 Eci t to on, tA c Gnw - Hole, i 196/. l 3 Timoshe n ko . " Theor of pfates emcl bheAls# 2 & EdrLon,
, 19 5~9.
9, daan , " Roarks Formulo.r pr Stress cmcl .
Stecatvu ', b L" Edutt o m , M c G mw - Ho (f, !6 6'3. j
( ~Ta b2e 3 5, C use '1 ] !
/> ower Pfant Ate cmc!
CPeantn3 units Co<nponents , H. 4. , to 60.
- 6. Pogott , "Introdu. dom to Mec tacmtc.s of So@scls" , Fren-Li ce-Ha8/ , IB 6 8.
i i
.,. ~_- - -. .-- . .
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET '
. TITLE: kF sPOrYSF TO bN r F/2rd '15 DATE: A pr bY PACE: 30 l sussecT: E re-re; tv r Fs BY: A .P. CK: M SHT:1 0F L i I
DucLem3 5ystems , C oncern item l No. 14 " , Opn 2 189 4, l
< i i
i i
i
1' 1
I-t 1
1 l
'- - - . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ - _ _ _ _ _ _ _ - _ _ _ _ _ _ _ _ _ _ _ _ _ __