ML20069F135

Rev 1 to Evaluation Calculation, Response to Concern 16

ML20069F135
Person / Time
Site:	Fermi
Issue date:	05/31/1994
From:	Reizman A HOPPER & ASSOCIATES, ENGINEERS
To:
Shared Package
ML20069F099	List: ML20069F095 ML20069F118 ML20069F135 ML20069F141 NRC-94-0050, Design Calculation, Qualification for Qai Duct Supports in Stress Rept 2848-1
References
CON-NRC-94-0050, CON-NRC-94-50 HA-05-94-0812, HA-05-94-0812-R01, HA-5-94-812, HA-5-94-812-R1, NUDOCS 9406080150
Download: ML20069F135 (74)

Text

1

, 2 to i

NRC-94M050 j

HDPPER AND Associates i

ancesets I

i DECO - USNRC DOCKET NO. S0-341

[

FERMI 2 CCHVAC DUCTING SYSTEMS i

CONCERN ITEM NO.16 EVALUATION CALCULATIONS i

)

i i

i t

i r

l l

I 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 Revision 1, May 190" 9406080150 940603 PDR ADOCK 05000341 p

PDR

i

=

f HOPPER AND ASSOCIATES HA-05/94-0812 ENGINEERS Revision 1 CALCULATION SHEET TITLE:

RisspoNss To C osc sla rv

/b DATE: A Pc h4 PACE:

L sus >EcT:

~T'A rat s or Cos tgN Ts sy: A.12.

cx: (d SHT: b

[L OF_

TAG LE OF CONTENTS i

e

l. O I N TR.O D uC.TI ON I

l. l PROBLEM STFTEMENT I

l.2.

2 NvesTiG AT/DN A P P E O A C. H

'l i

i

'2. 0 S VSTEM D ESCRIPTiON 4

l de i

3.O ANAt Y515 A PPE O Ac.#4 5

3.I l_OAD C Ot4 Di Tr DNS 5

t

3. 2 Exist A NG A N AL.vs r s s

I 3.3 Lono Fncrots 5-3.4 Duct C APAciTy E vat _ u nrsos 6

3. 4. )

D u cT PE OPEETi e s 6

t

3. 4 'L Ou tt<L/ N G bTEEss 6

3. s Peess ue.e CnensiuTy pe2Oceot4;as 10 i

t

3. b A PPL.f ED l DA DS 11 3.7 EFFECT os:- /MPE R.FA CTe OH

/E i

b V A LU ATs DN

HOPPER AND ASSOCIATES HA-05/94-0812 ENGINEEOS Revision 1 CALCULATION SHEET

- TITLE:

OFSPONSE 7-d brdC g F rQ lb o

[d A

~_ '/

8 PACE:

b b.

DATE:

s

SUBJECT:

TABLE O r-C13NTFrQ 75 BY: 4.E CK: LN OF.1 (,.

$HT: LL

4. 0 A N A L.Y S IS 20 9.1 AN ALY5is O/

4/8k" h Owc 7 to t

L4. 2 Trc nrysseese Ano L o nc,or v ann n u z.c 9eesseres Inrenac n orJ l

5. 0 CoHc t u ss orJ s zy G.O (EEFCEGNCE5 26 i

i l

i i

S EPatzED S4; CL009 mtam CLwaf is use v i

f I

C Hgc gep S ~t R'

d Mz/9/

fL& L wnptnr4

+

erv. 3, o s Pg a pa x co 13 9 :

Ofc-BUmtetvi hw tv <e94 h

. c sw4ao sy ;

4 1

_2&uezc.s-

._- _j

a HOPPER AND ASSOCIATES HA-05/94-0812 s casses Revision 1 CALCULATION SHEET TITLE:

PF s pot % E TO CON CEE N

/6 DATE: A go 9 4 pace:

I

SUBJECT:

_ /. O

[NTCODtAr rf a N sy:

AC CK: /fM SHT: I OF 3 i

l 1.1 PeOStsvl b TMEME NT j

On Matc h 3,199 4, the u. 5. N. R. C. submd ed Doctcst No. 50- 34I t.o Detrod Echson C ompon.

This Docicel consmis og c< reguesi por o2dio, cd enformabcn on Fermt 2 CC H VAC 53sien, clesgo Cknck Oc e{cd.t 0v1

.Tn pafi tctifor, 4 he re cae severo f re]Grcb n Yhe Sif tac.ku.rb8 tn(e rt' C OnCPU S c cs8c ufe:~. t ov'5, HA - 05/BS - b 9 6 csnM HA- 03/03-69j performec) 6 Hopper f Cusoc scles.

l gcsC key es. gregc.<eJ to occler to refond Th's t He comments poseck b3 to 4Ane one of re q cvd taq H A - O S[ BS - 6 B b.Blame [q)

NRC J

J s

For circular ducts the maximum allowable negative pres-sure is apparently total vacuum. The basis for this result was not presented, so it isn't clear if it was determined based on the interaction with simultaneous tenslie and compressive axial loads, and if manufacturing imperfec-tions were considered. These may have a significant ef-fect on the allowable external pressure.

r...-

-.a

HOPPER AND ASSOCIATES HA-05/94-0812 sweiwesas Revision ~1 CALCULATION SHEET TITLE:

b S P Q NiS E~

TO CONccEN

/b DATE:

A PC-bv pace:

'I suaJECT:

INTe ODuc7/ Ot4 BY:

A.E CK:_. LL SHT: 'l OF 1 l. *2-l NVES TIG A TiOH APPs? OAc H 65 duc.itm] 3 stevn.s avicggec.

The bu HA- 03/ 89 - 6.s s wtee be reviewecl, and the worst cesse cwcular cluci etge wt02 be sePec.tel.

The a na G sus upprooc k y

usecl en cuafgm3 6We clucis we ef be presevtkect.

.Tmperfe th an &mcls amcl egec'ls on c acuea r dacd.s wtee be constclere d and toc #aclec} as a pc4r i of ihe cmaf ns cproach.

A debfecl ca8cueuf,on 3

for a bouv, clung ct<cuew dact wiee be performeck m order to demonstrecte the determe n tna the p<ocec,va asec tn HA-os/8eU odouJesb&

pressure 696.

t vi The eye eks of tmperf e citons wt.8f be e.vo Paa-fec).

In ackMton ti shaft be showvi that the cetitcae buc keinc.v

.strencib o.g cm ihto tu be uncler unyorvn eaterse externa 2 pressure us en havocec (mtntmatep when tnierac 8 ton w t.4.h

HOPPER AND ASSOCIATES ENGINEERS e 3 oU 1 t

CALCULATION SHEET TITLE:

$ espONs E TO con cre N

/6 DATE:

A rc q v pace:

3 e

susJECT:

IN TRON tA CTi ON

/

sy:

A, (p. cx:_ tt SMT: 3 0F 3 i

s t mu ttani o us compresstve ca t a d l

emdS con s t clere d.

Th us.

the ts caec uec4 t cons en s a - o s j e _ s e s c o nsicl u ecl orP3 the se t snu c. eg e ci on the eBastic sta btet t3 of ex tktn w aefeci c t <c u ea r l

tu be.

t d

e i

?

I i

I

)

i

~.....

m.--

HOPPER AND ASSSclATES HA-05/94-0812 sweiwesas Revision 1 CALCULATION SHEET TITLE:

26 s 90r4LE

-T 0 CONC FE r/

/6 DATs: ( M A y h y pace:

4 W

susJECT: 2.O S ys-rs m Drsc e r e n ons sy:

A. E. cK: LL/

swT: I or__ i bYSTE M D esceiertora A v> orsi ca s.e bot 4viden]

sgs{evn t s.sePe c{ ed bo be 3

2. 6 VS- /o (Duct Ege 4'BQ ' p )

Geometrica0 profedes og Oe elac'l cr(e 5 tA /V1VVIO( L Eb bkLd

[Ref b]

SYSTE rvl L. o c R T I O t4 C, n c,2 THICVNESS

• C3A LVA N I EED BASE fvETAL 4

h

(

Saa s

.o'1,8"

• G cJvam3e cl tl,ccl<,,ess use J t n wec

}-/ A - 09/66-GS 6.

To show thcti restafts wde not be egected, ba(e (vstb0 thtc kness ts Lased th(ou 1 0tAE ilots f ac kc.

1 e.

The ctPPotaa bee des'3" P r# 55" 'c"' % 5 st.evyi ts

-b* H 0.

[ 2e( to ]

\\

l s 2

Q

- ~. -.. -

.. -. ~ -

J

HOPPER AND ASSOCIATES HA-05/94-0812.

swciwesos Revision 1 CALCULATION SHEET TITLE: kESPONSF TD CONCEtN lb DATE: A PE.

.9 'l PACE:

6 sus >ECT:_ '3, O A N ei t v s t5 A PPE oACH sv:

A. E. cc:

r.t d su7: I or /5 1

3.l L-O A D CCHbmoHS_

i.

D end L oso 4 perssuee 2..

Dent Lons + Pressvec + seisec I

3.2 Ex,3nsc, Au ntysis i

4 ana0 sts of the ducttn3 sw.ste ms v>as Ocn 9

performed b Feuor - Puoneer ( Se( l'].The I

resuets these ornae ses are docarnented of g

i un f Orm of cL?ste n reports. aet it,, stracturof evaPuatton u;cvk v1 HA -D3/83 6 s 6 es bcssed l

1 v.pon dato.

contoteecI to these destgn reports.

crssampttons macle by FEvor-P.oned The o/e summartgecl tv1 H A - os / B3 - es 6 3.'3 L. O AD

bACToEC, Os d n sc.usseck prevsovseg,4he f0220t.otv,c foacl poclors a/e.usecl to ma3rn(3 t.he Fev or - Pioneer Loods 1

S t_ n.a 3; 1. F. :

2. l_

i S t.a s 5:

L.. F.

7O i

+

t HCPPER AND ASSOCIATES HA-05/94-0812 EuclNEERS Revision 1 CALCULATION SHEET TITLE:

SE6POM'E H C 2214 lC DATE:_

YA1 0 Li PACE:

b u

SUBJECT:

Au ncysts.

A PP/20AcA sy:

A. E. CK: Ltd SHT: 7-OF if s

3. tf Ducr C A pasicery Ev At-u x rios 1

3. 'l. l Ducy Peopestries

{

r 1,,= 1vy

• Ti ('E i

e h

r =

48% =

2 4.12.5 2.

s t

t = 0. 0 47 6 "

(/ 6 goge )

In-Ti(2 4.its? (o. css)= Z/ O O in' h

i I

r 3.Y. 2 f3 tac ut l N c, S re e ss C Ref 2., 9 47/ ]

i osvia8 comfresstve bu c k6t nc'. stress.

The I

(Or &

C

@tv1bef LS L veV) b MOShe n ko,

h

-v o O. 6 5 - ID E 4

g; _

l+.ODy E Q

h 4

ujhW4 3

EE

~L % > ID' pso

=

(otbLLA5 of cluck (A

k

=

.ove-vy =

3 6, 00 0 ps i

HOPPER AND ASS @CIATES HA-05/94-0812 ENCINEERS Revision 1 CALCULATION SHEET TITLE:

kF<PONSF TT) fDNCERN /b DATE: MAY 9 PACE:

}

$UsJECT:

AN A t-Y5ts APPR. car _ #

sy: A E, ex: Ltd SMT: 3 __ OF /[

DOevtA 3

l Tcr = 7,619 pst ostcr2 e

C bcln c cd 3

bendem3bu c ketn3stress

\\S c$e5Cfm tneb f(0(n Ft ufe 3. '1, 7-. I

{Ref, P 8.Q 3

C C)-

M

.f [

r

_ 2H.n s gg5 t

. O't7 6 i

Vc o-

• 2l 110 Tc.r =,2IstG <(2.6sIO'pso) a N

1 16.

ShOtAOcl be nDked Ehak the a bove Crd4 ccg 8 va[ues cde bcN5eh On evfertmenkoO results, and thus tvnpa c < teP3 tnch4e h egeck.s of temperfge;

>n s;.

Fo r exarnp&e, ihe theorebccd soeutton por ao ctxia/#3 compfess.e C cyewcler Ls Tc r = Et

[ 12e r 2, Pm 4svJ r \\/ 3( - v')

7 0

- ~ ~.

. = -

c-HOPPER AND ASSOCIATES h s On 1 ENetNEERS CALCULATION SHEET TITLE:

RESPDNSE TD CONC EiEN /6 DATE:

M Av S v ace:

B sus;EcT:

AN A L Vsis APPE DACH sY:

A.12 cx: tw sHT: 4 OF #6 whtch for oar case tor (esponds to,

f T

= (I B y r 06 ) ( O'/ 7 6 )

cv 3y, 6 63 pse e

2 '/. / 2 5r ( 3

- -x _.

Thwe ore fhe restic beEweeH ihe theorettcae vaPue_ and the vo#ue use c.

un t he ama# sts 3,

ts 3 'f, 6 63 4.43

% s/6 t

(

4-ei, awon.m-met 9-6 "N

w

HCPPER AND A552CIATES HA-05/94-0812 ENGINEERS Revision 1 CALCULATION SHEET TITLE: kFSFdNAE

-r O CCNCErN

/6 DATE:___

A g e.

99 nacE:

e

SUBJECT:

A NAtYSis APPC0Af_H BY:_

A R. cx:

I

__ t t /

swT:_ 5 or /s EReg 3 3 l

1 I ll 1

1 I

_x 10-3 99% probability value of 10.0 Fcc/E vs r/t for constant

\\

values of L/r (confidence = 0.95) s s

\\\\\\ \\

l0 9x%\\

gs sgggg s

\\\\\\\\\\\\\\\\

W\\\\h\\\\

Rar.ge of M

Elastic Buckling hk g

10

\\

\\s

' nwwx F

\\\\\\\\\\\\\\ \\

i CY

'=

0050 t

=

\\\\h\\

Y

.00zs =

=

=

0015

=

- =\\

zs 030 -

ON.N g

\\LXz

\\ \\'4 Dashed lines are extrapolated

\\

into untested regions.

6 I

i i i I

I i

i i

l i

I 10 100 ja 1000 10000 r/t Fi c,ue s 3. 4. t. I Ciccat n e C vu~osiz_

iN PuEs

@> s m.D rN G.

m-.

o HOPPER AND AS$8CIATES HA-05/94-0812 ENGINEERS Revision 1.

CALCULATION SHEET TITLE:

PFs #0NSE To ON CFc N Ih)

DATE:

A P/2 4 PACE:

/O sutJECT:

A N A LVS /S A PPL) O A r/4 BY:

A. rz. en: tc/

sNT:_ 6 op_

15' 1

3.s Pg essu ee C APneairy Peoceoute C t<cueca duct dennensions are basecl apon j

the diameter of the duct csncl the sitgoer spactoc The a&a>abPe pressure es controfecci i

6

-the forgttudunae crittcci8 buckA v23 j

s tress.

t The sf resses c[nssa][<on1 Dead-Wetqht ancl foacIt A}

cdc tonservcittvf8] subcied Se t s.m t c.

{/om ibe c rti t cc48 Pure benda3 stress.

The aE/ow>ed to Oc infes remo on ow

. stress ts

%ters ae pressure.

af b

n

HOPPER AND ASSOCIATES HA-05/94-0812 ENGINEERS Revision 1 CALCULATION SHEET TITI.E: ke<;PONSF To Cor4GEf N

/b DATE:

MM OV ACE:

Il

$UBJECT:

ANALYS/s APPEoAcH sY:

A. 2.

CK: LLV SHT: 7 OF_. IS

[ Ee{ l]

3,b A P P L i s.D l DA DS Fcom F-euor - Pioneer Ou.tp ut.

D ead tae e ld,

0

( To(Ston My

=-

t4 Hy

.=

0 f

i4 H

5 = 336 f OEL5Mtc, Lacfucluq]

L oad Fockor A

1

(

~

^ ~ ~

m,

us.s n o)

aio i #

so.s tw1 = ruo ((-l #

M

=

~

I HOPPER AN 550CIATES

~

2 y

CALCULATION SHEET TITLE: kF6PO NEE TO CON cge N

/b DATE: A P,2.

BY PACE:

lZ

$UBJECT:

A N ALYSIS kPPECA C H BY:

A.D CK: LL!

SMT:_ 13 DF__ / 5 3:7 Erwecr on twipeeree non Evacua rs on i

Tn the h

case og 6. hts egeerdet ca4 she/ds there aduva33east same e.n ttw 0 clef ect<ons f

cmck at her twnperfechons. The eppect of ud erpecleons ts to reclue the these p

c <tte c cd butcIc&ng.stce nt4 of the c e ccueac dacts. hperfecttons. pec co2e for both l

cr o xta@

complession O.vib cro cl externa 2 fressaft.

t Ax, Ac ComrAEss < oN f,

(t-1

--L t

y C Re( 7, P 73], tbe rebuc hton en From strevicih depeacls

• unevenness' [a cdor on oa LA..

h recsono 62e (aoge fo( fosc{of Lk I

cd

,oooz. to 001.

The vafue.

ts c4tvevi of LL necessay to eqecan most o( the expert.menicd c Eunder s&ength s cwouncl es

. ooo z.

t i

HOPPER AND ASSCCIATES

-0812 ENGINEERS 3 On 1 CALCULATION SHEET TITLE:

PreJ>DNer m

( ord CEE rV

[(,

DATE: MM V PACE:

f3

~

SUBJECT:

Arvn cvs is A Ana o4cu sy:

A.12. cx: tcv sHT: S OF. 16 From E Peg 7 ]

I.O

U Purely elastic

~

g buckling og l

or rieioin ---

Buckling storted

,;. M ll /

\\

'r,'d5

w 0

05

,{_

to O

O.1 U*

02 I

Eg g

For our coce, i

r=

46.25 wek

= z,1 s t G "

e z

t=

. o.4 9 6 tec h To ke_

(A=.001 the Sower 6owcl vm&e, LA.C.

. OOI

( 2 4,t7.5 ) _ *595 t

.0498

^

Feits the.

obove i

curves, the vc&es cxsjngg ote f>

Y-e.3 l

C<iirccd stres; for pepect she,pe onc/

Fce =

e&decLt3 v~

= average catae st<ess w.

e m-4 s m

HOPPER AND ASSOCIATES HA-05/94-0812 ENGINEE25 Revision 1 CALCULATION SHEET TITLE:

pes 00NrE 70 Cor.ac Ec_ N

/6 DATE:_ M /&4

$4 AGE:

/V

SUBJECT:

AN A Lysis Appa oar //

sy:

A. E cx:_ tt v sNT: /d OF___ 15 i

The 0 3,

can be vie u>ed a.s a c orre c.6 0v1 factof.

The emperge ed e on scga fmckor ts i

5. F g g

= 13

=

[ Ref 8, Pg 463, the fouser bou ncl Rom e acutsom fof,tke cDrrecb on f ckc.bor ts t veva a s.

l- 0. S { I - e fT

-_L C=

L=

2 % 5

= 505 t

,0476 C=.32 O f, 5.E

=

3. Q 2

32 E m re e n at-Pr& essu es meiho l cs3 LA sta tue s cwne.

c wi tue case of cstec<8?

comprezeel c k c\\rtcck s keEft.

L L t>Jo s s k o a>v1 Liv ~l t mpcqe cdr ons do n m'

a HOPPER AND ASSOCIATES HA-05/94-0812 ENCiNEERS Revision 1 CALCULATION SHEET TITLE: 2F6pONSE

'7'O ff)rV rgE M /lo DATE: A PP 81 PACE:

/5

$UBJECT:

A t m L ys<*

APPeOAC4 BY:

A. E CK:__ _ t L V SHT: II OF_ 16 pro duce great a reductton

.50 on c n ticcd was f oamel por the pressure as o(

case cweaf covsj>ression.

[ E'e ( 7, Pg 4sz]

Fro m

[)?ef S,P9 s he-5 7s ], c~s fof' cow 1 pressed c]6 tocle/6, ox< cs &

Bae re du cb ov; criteccl pressure depends tm

" u n e den n e s s " (c. dor om cm u.

cx recssoac4 ble realg e o[ (A c3 g t vem ce s 0001 to

.0005.

The poePoastuc; Ca(ves cde also pu b&s keb,

~

';b 7

5 7

• (f j~ f j J 3

t e

.a g

g p

-o

' j t

dj

/--

' S y t

[?]hAf"};W )K f

//6 7

/}C17

? [

Y%4-.y.os

/yA, p

c:n

,W Ur 't

?

U s

C b D8 b) se b5 t

be DL b Cf LO la

$.h85%.

p" 7

p 'g p

21-

-~

3.,

92mg

,c 1

b fy-77

,,g, %,

s

=

w N

}f fjk D

7'

~ /-in-l MCh_

5 L

a

~

2:aw n

u $sar U

a a a >> u.srzn?!b%r o

D.

f 4

HOPPER AND ASSOCIATES HA-05/94-0812 i

ENolNEERS ReV75(On 1-t CALCULATION SHEET l

isTLc 2G woHs s-TO Cnurf>2rv ib DATe VI A-f b4 Pace Ib i

Sus >ECT:

Am n t vs rs APP 2oAcN s <:

A. R-cx:__ cc /

SHT: /Z OF /5 i

vJhere 2

l L=

s/r t t

R = 36,000 ps t E-1sx t o' ps,

t

, ec4clt u s o( du tY i

r = 2 4./2 5 t e c lq t%=.cR78 tnch-P = c l o

~

'Pc<

e p

I fh E'

G

{ =

b O",

dsstcance be tujeem witppnen of feAg%

o f c l t n cie r fac. Nit' L4 =. 0 00 5, 80 wef 6 0avIc, i

N Ov9 uj ',. 0 0 05 ( 2 9. a s)-

= 0, 2 6 t

.0999

2. 6 f

IT

=(.p%

=

i - L4 E oos ) (z% < o9 i

Fy e

_ (38.000 ) C u.,zs3 i

~ ' t

' (ze 4 0 9 (. 0 97 B6 I

E 60"

55. B l = N c47tr)(zw.ie

=

f l

ea

HOPPER AND ASSOCIATES 0812 EwclNEERS Revision 1 CALCULATION SHEET TITLE:

E PA POno-To CONcru

/6 DATE: A 92 9 4 PAGE:

17

$UBJECT:

ANALYifS A P9P CA t #

BY:

A. P. CK:_ 4tV SHT: /3 OF 15 From Lhe es2cufat.ecl dtmem.seonleas p ache.s cmJ ike the pour ctwis, ihe P versus L

<eQc&uon es dete< ret me c L

P l.9

~ l. l h

3,(

~. S s,,

t 5.5

~,0 i

3.9

~.6 r

P f o h c1

c. v s P

l J

l i

f I

I. 0 -

P i

.5 --

O s

^

no zo 30 90 So i

L_

ee,+-

HOPPER AND ASSOCIATES 0 @ -0812

{

ENC!NECS Revision 1 CALCULATION SHEET TITLE:

f2nstDNSE m b esn2rd

/k DATE:

M VI t/ PACE:

/6 l

W susJECT:

AN ALYS IS A FFE.O A CE BY:

A. E. CK: LLV SHT: /'/ OF ' II i

ogecds tht P c~pproxumately M

t a s qm0 oies to 0. 3.

But the vc4dti U

v th is ts guesitonc4 bee becou.se the of

. factors, used m tWts packc4ge ore og the cha/is.

usef aE cmcl cenertc boamclL1 k

more foamc$ prom

[ Izeg 9, P.cf s ], cohere g

the correchon pc,ciar refarted'as l

es C =. '7 5, fof 092 vedaes of R/L Thus,the Safety facSor es S.E

=

=

1.'b 3 3

T'he "Industnce Duct Cons {rucf ton 5tcmdcvcls'

~

l pu betdie d b3 SM ACN A C. Beg 5, Pg '7. B ],

accounts, por vertou.s emperfeciton s such as, each op roanc nesc,

3 a bosndmc b

sapety pacavr o btatnea p<om, 5. F. =

( 524 D)

D=

4 8. tzs" til S.E=

7. I 5 uf r-

-w

-, + >

.a-+

e-

---P m

HOPPER ND $50CIATES

~

CALCULATION SHEET TITLE:_.8FsPONSE To CoWcseN

/6 DATE: A P P_

1/ PACE:

/3 sus >Ect:

A vv At Yst s AevcoAc H sy:

A. E.

CK:_ 4L 7 SHT:_ /8 DF II CLL%o la he SM AcNA syel paclor st3ntp t can-l.ee farger tbn other ts regeances, ct uit## be usect en %s i

p acloge boundtn3 vague por as a cla L pas og eoadu i

i

)

i i

i l

l 1

HA-05/94-0812 HOPPER AND AS$2CIATES NeVision I ENGINEER $

i CALCULATION SHEET TITLE: kFS POrJ5E

-rD CANCEE N

/b DATE:.

M a -/

.5y pace:

t. o

SUBJECT:

k.O AN ALVS/5 BY:

A. 2 CK: LLV SNT:

I 0F 7

'i.l A m Atysis or over DWv Pressa te M,=

0 g6#

M y = 0[/# M

= 336[I #

Fow = (Hv + Me ) (lz ) ( D) '

l 2_

tI3

)(s2)(4BN)

(

336

=

2. L 2-10 6 )

46 psi CL = 6 OS O f5,

=

,1 0 buck &r

Now, Tc. c - Vow = g tt p = ( sos'a- %

-2.(.o'ns)

( z 4. /zs1 p = 2. 4. O gsi To crccou A fof varsoss uvnperf ect ov,s s uc.h as,

80<c k of rouvad t ics; j cs boandwc$ sapet3 gactor as

l.

HOPPER AND AS$3CIATES HA-05/94-0812 ENGINEERS Revision 1-CALCULATION SHEET TITLE: kFsFONSE To CONC EF rd M DATE:

A-/

S S1 PACE:

TI susJECT:

A Nncvsis sy: A. R. cc: tc/

sNT: 1 OF 7 d tS C G 5S G C LVI secitovi

3. 7 of th,s P"cl'*'e Es use cl-DJhere.

i

_L

.S.F. = q.16

/ peu - ( '4-ubz. c.ows)

(Z 4.12 5 )

I pcjj = 3. 2.- p s, f v

b Lb10L4 P_ xg8( c t Ie8 GC C OLA vikLv1 [Or LMf effe C lOnS, { h e CLb b O u b 0e jDres s Ls ft ts tota e va c u u m, p =

14. 7 p s,

of 407* H 0 i

t LddJt tMperfecbors, or es' m o p = 2.2 ps,

-i

HOPPER AND ASSOCIATES HA-05/94-0812 ENGINEERS Revision 1 CALCULATION SHEET TITLE: RESPONXF

[ANCEerv /6 oarE:- i v1a /

e s',, ace:

t z.

m v

sus >EcT:

A s nc.vsis sy:

A. 72. cx: cc v sur:-- 3 or y

D W + betsmt c

• Pres.sure Mx 'O pt#

M y = 13/O f

/ 2/O g6 # '

t#

=

1 7 = { 13/ o 4 / 2/ 0) (11) ( 4B f )

/

3

?- ( 2109) s y s~ ps,

=

34V

=

ps t no buck &c l

~

NouJ, i

Nf D&

h 6000 - 9 6 - 34f. = p (24.i25)

I ~2. C. 0 4 7 9 i

LtO 7 " H, 0 f = 22.6 p.ss l't. ? psl use or

\\

D tvedm3 ]

the syeig gaciar 6

^

pc (%- wsn >.z

c. cum (2 9. t z 5) y = l. 63 fst or SO "HzO

'xn., w -

i

HOPPER AND ASSDCIATES HA-05/94-0812-ENGINEERS Revision 1.

CALCULATION SHEET TITLE:

kKSPONSE TO CI)NC E(2 N

/b DATE:

MAV 14 PACE:

23 W

sua>Ect:

Arv Al YSIS BY:

A. E. CK: 24M SMT: 4 0F 7 The re.suets t.nck c ate thcd for the gtven bvJ c m cl se us n u c l'oa ck.t c3-the c c. p b l e of w t11.stcmclmg sytem t=

i cd1' cwa bee pressa <c of 1.93 ps, cm It does not howe ver mean (hat bu c ketvsc{ wsM not occur.

If bucMet v, 6( the duci cGe to enternd pressure l>"H0 fcc =. 2 4G fS' t

1

.Tn fcrc fof om c t.(c tA ha r d v.c$, the tfansverse, pressufe tnc\\ucec$, c(titcc<$

huckfu43 Stress t s gotvic. -Lo be the conifoMMc fcu8u/e mocle, n of the a

80m3tttr dtA00, Setsm t c ein b Ltce c, s tresses.

a PQowcn b2e pe3sure of ll.b' H,0, For an cd

/ 8 e

the man mum cl u c. d s t g e ts 3'7" dica meier

~

~

~

=.

• e j

HOPPER AN SSOCIATES 012 g

g CALCULATION SHEET TITLE:

EESPDt4SE TO CONCE/2N

/b DATE: Mnv 9Y PACE:

'2. 5

$UBJECT:

kNALYS/S BY:. A.E CK: Ltd SHT: b op 7 4

• 2-.

TilA NSVEESE ANO f.-ONG o Tu OIN AL Pass 5 ug_g I NTER AC TI 014 i

[2ef 4, P 6 S O 3, presents

o. soPa1 t am for a thtn f u be tan d er fon t Iudtea A ovtcl trea15 verse gressu rc,

t he egec(

of each fo/ce corngonen t on cl their t m terac h t ov, e ch be00w.

es su mmcct Tneoey Forz 7

V-We=

EI 34,663 g,

m rrv 3 o_pt j

)

,S c,=.BGLE~

l. 9 6 pg,l

\\

ff1r r \\2 5

/

t riit )

(

rx J

i V

9,1.-

s j

C O,=

B2E

l. B B 3,'

c

-t

{!.!(L 2.s i

1r a(

1

]

o HOPPER AND ASSOCIATES hfson ENGINEERS CALCULATION SHEET TITLE:

RE5PONSE TO CC rVC FRN /b DATE:_ A pc e v pace:

2s

SUBJECT:

A N Atvs, s sy:

A. e. cx: ud suT: ? or #

F~ro m the

.5 tr m v n ca r ta bee tt ts c0eaf 6 ha t t he crdoced coodit,on ts the L a be u nc\\er t<ansve,se p re =.s v <e oeone.

gaci, forp tu cl on/ gres.sure And tm t

en ho mce.s m a ma #

the em be 3

cym b.&L,3 n

.l i

l

.- nn n...

' ~ ~ ~ -

w

-w-r

~

• i

ON pNG NE RS O

CALCULATION SHEET TITLE:

PESPONsF To bNCE/2 r4

/4 DATE: M PF 8 LI PAGE:

7. 7 susJEcT:

5. O C,orJC L u $loNS sY:

A e. CK: R/

SHT:

I OF I C os c e us,oss i

In resfonse to a

comme ni p o.se d 6

the N E.C tn D oc l<e {

N o. 50- 3W,

cx l

detoufed groce duet fo/ ca8cu8attnc, m ore aefotoabee pressate, as pu betshec\\

un HR - OSf 6% ~ bB6 y LS f(e.Sen eC.

~I hts LS aehie vecl 63.seBe cita3 a vegresentattve courd ductua3s3 stem and perf ormtr3 deblecl C.c4 fcu eat on to determtne I

cs i

ce9Aca>ot bee press a (e.

t He t

I

.gomnd h t the t e c #v sion It wces.

of a bounc\\\\mg emperfechon fc< clor

)

re clu ces the aff ouucs hfe press ure clec, m cstt c a.Al

atsc,

, fue &cdudmag l

3 e

i difeSie5 tnYrOc}ucecf b

set 5 m t c MCkM c4 /<

w c u o m o3g etty p-esa.

neva sue t

& ctesgn sy em pressure, a.itfe m s.

remcan as the aQLtenctie olfowo, bee pressure.

HOPPER AND ASSOCIATES HA-05/94-0812 ENGINEERS Revision 1-CALCULATION SHEET TITLE:

Pasunuss ro Couceen 16 naTE:

Age h v pace:

tw sutJECT:_

(9. O EERG EEWCES BY:

A E. CK: LLV SMT: /

OF 7.

i R2FECEHCES l.

Peuor - P<on eef, Inc. Deste n Reports on L

M tc(Of t0rva TEoffs

" h h ' T h(Oa h " h H *,

I Projeci /o-4221, Cfien f ; Roberi Irscaj

( M u crognem,floeh are on gree eu tk Deco.)

t Torvioshen ko ( Ge<c. " Theo<v or Elast <c z.

_)

i i

Sta bi A tu^> d Echt ion > M c Grow - Nd/

g ISsI.

l i

Mc,clclux, Vorst, 6,e ssPer ( Montg.

3

" Stress A nafu s s s Hanv.oe', Tec honcoO Report J

l A F F D L - TE 41, W/ft h1 - PAItersOvl A F B, Ohto,

1570 4.

Younc

, R o c v k 's Form ufcss t or 6t/es s C

cwk 5 tra t n ",

b

• Edst:CA, M c Gra vJ - Htff, i B B B.

5.

SM AcrJA, Eound Indtasirsed Du ci Condruckron stc,ncia<cis ", sm a c s a, isn,

~ ~ ~

f HOPPER AND ASSCCIATES gj-5/94-0812 ENGINEERS S10n CALCULATION SHEET TITLE:

MESPoNSE

~TD

[ONCFR N ((, DATE: {b A Y Y / PACE:

2S

%___/

SUSJECT:

(Gs:G/2ENCEE sy:

A. T2. CK:_/LV SMT: 2 OF_ 2.

i f

6.

R I Co,

• Duct Constra dtoa Scocla wc Entuto Fefwls htovmec P. P. 3tZ "f 01I -I O tt - Ty, y [,'

( Edeon F,& BB-6 B6 )

t T.

Donnefe f u)cm, " Eg ecd of Imperfection s Suckfo13 of C 6mclers cmcl l

on T 4tti 3

Coeamns Lkn cler O xac,0 Compresacon

]ou<ncA of Oppesec\\

M e c h cunc s, v'oe 17 i

3 Na (,

i950.

[

t 6.

Popov f meAaclawsut, " Con crete shefE G u c k ei n c/',

Act pub 6cediovi sP-67, ACI J

/0 81, f

Donne 02, " Egeet of Impffeciu ons S.

on i

13ucican of Th a, C Emden lam ber i

r Eskrncd Presswe *, Toxv1of 0.( Opg&eo' Mechantcs y Vo2. 2.3 No. V, 165 b.

10.

FAY (com Da ve 3cn cnt D Ec o of M T I U '3 0

~. -... _

_ _ _ ~. _. -

%40050 HOPPER AN ASSOCIATES DECO - USNRC DOCKET NO. 50-341 FERMI 2 CCHVAC DUCTING SYSTEMS ONCERN ITEM NO.17 EVALUATION CALCULATIONS 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

~ ~ "

- _ - - - - _ - - - - - - - - - - - - - - - - - - - - - - - - = - - -

^

HOPPER AND ASSOCIATES e

ENGINEERS CALCULATION SHEET TITLE:96tD - LAS N RC,

'PD LM fcl 140, $b

'bl4-1 DATE:

$4 PACE:

TblNY DF c0 kiMM O CK M M -

SHT-OF

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semq or net w wvu vaco q

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MA 24 nw

HOPPER AND ASSOCIATES ENclNEERS CALCULATION SHEET m -uS N Rc

'DocxEJ so.66 M; o,7,. V git ' cf L4

,,7 m pace:

6

SUBJECT:

O fs LC-M STATme"T.

sv: H e ex:

• A 7 sNr: I or i.o PtoutM s q wicmT.

i Tqt tA9q vo TTqw Nuttewe pt-GutApq 1

Co M M a w torJ (lAS NR.c )

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HOPPER AND ASS *CIATES i

ENelNEERS l

i CALCULATION SHEET ura: Deco - Ul3 N.qC 'PotkET No So- "-l caTe AfC* '9 '4 1

nace:

susJEcT: COMMC+I NIO*E MNN BY: hk CK: /## SHT: f f

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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: TI1D " L44 M RC - DLkEl t40. 6b - %1 DATE:

PAGE:

sus >EcT:. RCS$ 4 JE WMMART H&h sy:

ex: MP SHT: !

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HSPPER AND ASSOCIATES ENGINEERS CALCULATIUN SHEET I

NC# " USP4NC

'P 6 CA:D}

tlo. G

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TITLE:

SUBJECT:

N' 1 L

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CK: //41M SHT:

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HOPPER AND ASSOCIATES t

ENGINEERS i

CALCULATION SHEET TITLE:

w-W ot No. 9 -W MOL M pace:

b cars:

SUBJECT:

72LTi%

EVA LtAAli oN f'F0LE'ouCE gy: hQ eg: gg ggy:

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ENGINEERS CALCULATION SHEET TITLE.'DEC,0 - LA $ N RC

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HCPPER AND AS$3CIATES ENGINEERS CALCULATION SHEET TITLE: 200- dit4Ec

'potneT wo. so - w-1 oxTa Arc.o ' 1 d

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ENGINEERS CALCULATION SHEET t

Trim M - LA 9 N RC.

'Do c k.E'T N o. FD -MI DATE: APRIL N

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HOPPER AND ASSOCIATES ENetNEERS CALCULATmW SHEET NO- @ -wt W i t-M 3

omrE:,

pace:

TITLE:

$UBJECT:hi h 6 NMWT T

i' W@

BY:

CK: 8& SHT: h OF. h SYSTEM RECTANGULAR Smax OR Sdw + Seq - Sb + Sm SUMMATION OF NO.

DUCT S!ZE (PSI)

(PSI)

(Smax OR Sdw+Segl 0.9Sy REMARK AND Sb + Sm (PSI)

(PSil 2848-1 14X14 25250 7150 32400 32400 2848-1-1 A 16X20 9236 23160 32396 32400 24X20 1648 30750 32398 32400 32X20 295 32100 32395 32400 SEE NOTE 2 20X16 9236 23160 32396 32400 16X43 13230 19170 32400 32400 16X66 4831 27570 32401 32400 2848-1 1 B 12X7 3224 29180 32404 32400 18X7 620 31780 32400 32400 SEE NOTE 2 24X7 10380 22020 32400 32400 36X7 11060 21340 32400 32400 48X7 1348 31050 32398 32400 7X24 13470 18930 32400 32400 BX57 7827 24573 32400 32400 SEE NOTE 1 i

8X66 26730 5673 32403 32400 1

8X36 6659 25740 32399 32400 28481-1C 16X9 8663 23740 32403 32400 24X9 5021 27380 32401 32400 32X9 1717 30680 32397 32400 8X41 1972 30430 32402 32400 8X66 24010 8391 32401 32400 2848-12A 32X40 11530 20870 32400 32400 48X40 3389 20010 32399 32400 i

64X40 210 32190 32400 32400 SEE NOTE 2 32X32 769 31630 32399 32400 24X49 4110 28290 32400 32400 24X66 224 32180 32404 32400 SEE NOTE 2 24X32 669 31730 32399 32400 2848-1-2B 21X40 15250 17150 32400 32400 21X51 6254 26150 32404 32400 21X80 7780 24620 32400 32400 TAM %

c), o. )

GtAbtMMT of ST4*"

FoC h R" tmh u'^ #-

7 4 4 '-th ] M M

'f

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l

HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE. 7t;(A - (ASN RC

@bCKE] NO. Sb ~bl+ t APeiL 'qu (o

DATE:

,,c, bTDC6 6"MMT Df Wa.T-N sy: Ut ex:_lh sHT:

Of:

sus >ECT:

2848-1-28 21X53 3629 28770 32399 32400 (CONT'D) 16X66 8422 23980 32402 32400 2848-1-2C 29X40 12430 19970 32400 32400 29X55 8941 23460 32401 32400 29X80 2056 30340 32396 32400 29X40 13880 18520 32400 32400 24X40 170 32230 32400 32400 SEE NOTE 2 24X66 2774 29630 32404 32400 24X55 10200 22200 32400 32400 2848-1 2D 16X66 11930 20470 32400 32400 16X44 13870 18530 32400 32400 16X20 1983 l

30420 32403 32400 20X10 5492 26910 32402 32400 0

2848-1-2E 20X10 452 31950 32402 32400 SEE NOTE 2 l

16X10 186 32210 32396 32400 SEE NOTE 2 16X66 132 32270 32402 32400 SEE NOTE 2 2848-2A 51.5X51.5 8051 24350 32401 32400 78X34 15120 17280 32400 32400 2848-2B 74X36 29920 2477 32397 32400 51X38 15450 16950 32400 32400 2848-5 10X10 19180 13220 32400 32400 2849-1 20X16 199 32200 32399 32400 SEE NOTE 2 18X12 0

32400 32400 32400 SEE NOTE 2 16X16 24040 8357 32397 32400 12X10 13070 19330 32400 32400 12X8 78210 0

78210 32400 SEE NOTE 3 10X8 14490 17900 32390 32400 10X6 3064 29340 32404 32400 16X12 13340 19060 32400 32400 2849-2 19X19 27680 4720 32400 32400 2849-3 60X26 7088 25312 32400 32400 38X34 8689 23711 32400 32400 TAWtt 6 0.1

( C""I ' * )

HOPPER AND ASSOCIATES l

ENotNEERS CALCULATION SHEET ygyg. "hEto - US t4 RC Tbt%

No. Gb 6M Am %

DATE:

pace:

SUBJECT:

bNMD NMN

'f T Dh BY: N CK: b SMT:

OF b t

2849-3 78X34 22490 9910 32400 32400 (CONT'D) 32X30 21550 10850 32400 32400 50X20 14580 17820 32400 32400 22X12 16340 16060 32400 32400 2849-4 12X6 1490 30910 32400 32400 SEE NOTE 2 2PiO-5 74X30 19610 12790 32400 32400 124X48 296 32100 32396 32400 SEE NOTE 2 2849-6 10X10 1062 31338 32400 32400 SEE NOTE 2 2849-9 74X30 4963 27440 32403 32400 124X76 1593 30810 32403 32400 72X30 22140 10260 32400 32400 52X44 7388 25010 32398 32400 2850-1 24X18 394 32006 32400 32400 SEE NOTE 2 24X14 18310 14090 32400 32400 24X8 1886 30514 32400 32400 34X20 27290 5110 32400 32400 28X14 21820 10580 32400 32400 20X18 977 31423 32400 32400 20X14 14050 18350 32400 32400 16X14 13270 19130 32400 32400 14X10 630 31770 32400 32400 SEE NOTE 2 14X8 25320 7080 32400 32400 12X12 1271 31129 32400 32400 SEE NOTE 2 10X8 1025 31375 32400 32400 SEE NOTE 2 e

2850-2 40X32 9348 23050 32398 32400 40X26 11050 21350 32400 32400 l

34X26 10420 21980 32400 32400 34X20 7775 24620 32395 32400 26X10 10300 22100 32400 32400 16X10 4278 28120 32398 32400 14X10 5242 27160 32402 32400 14X8 2762 29640 32402 32400 10XS 1367 31030 32397 32400 SEE NOTE 2 10X6 741 31660 32401 32400 SEE NOTE 2 26X16 8636 23760 32396 32400 Th%t

'G. o. 1

(% ' P )

m

~

HCPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET I

D-MM

%}

NO. So - W I 1

PACE:

DATE:

TITLE:

SUBJECT:

b5 A WMT I N

• ND BY: OD CK: M8P" SHT:

OF 2850-2 16X14 6882 25520 32402 32400 (CONT'D) 14X14 1467 30930 32397 32400 SEE NOTE 2 8X8 2626 29770 32396 32400 SEE NOTE 2 2850-3 60X26 3250 29150 32400 32400 l

40X40 8589 23811 32400 32400 l

2850-4 20X16 17670 14730 32400 32400 16X12 25380 7018 32398 32400 1

16X9 22060 10340 32400 32400 12X12 16430 15970 32400 32400 12X10 21090 11310 32400 32400 10X8 11810 20590 32400 32400 8X8

,2624 29780 32404 32400 SEE NOTE 2 l

2850-5 16X9 8396 24000 32396 32400 SEE NOTE 1 14X6 4557 27840 32397 32400 SEE NOTE 1 12X6 22720 9677 32397 32400 10X6 4299 28100 32399 32400 2850-6 14X6 13330 19070 32400 32400 SEE NOTE 1 12X7 8109 24290 32399 32400 SEE NOTE 1 12X6 9409 22990 32399 32400 SEE NOTE 1 10X6 810 31590 32400 32400 SEE NOTE 2 2850-7 36X30 20040 12360 32400 32400 40X20 17660 14740 32400 32400 2850-8 12X6 19270 13130 32400 32400 SEE NOTE 1 2850-9 40X20 28300 4100 32400 32400 40X21 25040 7360 32400 32400 1

l 10X6 1517 30883 32400 32400 SEE NOTE 2 2850-10 10X6 27160 5240 32400 32400 1

2853-1 40X20 14760 17640 32400 32400 32X20 15810 16590 32400 32400 26X20 1630 30770 32400 32400 20X20 702 31700 32402 32400 SEE NOTE 2 20X12 9201 23200 32401 32400 24X18 4154 28250 32404 32400 TASW G. o. t (Coe4T 'S )

---

_-a

x HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE:lb(,b - (A3N RC oC.FG1 HO-W-Mi b

PACE:

DATE:

susJECT: bM6 M*T Df N* b@

BY:

CK: M SHT:

OF i

2853-2 36X30 12330 20070 32400 32400 32X30 4440 27960 32400 32400 2853-3 40X40 5279 27120 32399 32400 38X38 8250 24150 32400 32400 38X32 4980 27420 32400 32400 38X28 8484 23920 32404 32400 38X20 7014 25390 32404 32400 32X20 2583 29820 32403 32400 22X20 2801 29600 32401 32400 20X12 2768 29630 32398 32400 2854-1 36X30 3882 28520 32402 32400 36X10 19450 l

12950 32400 32400 34X22 2248 30150 32398 32400 32X20 9239 23160 32399 32400 26X20 13090 19310 32400 32400 24X16 23520 8880 32400 32400 20X10 29110 3291 32401 32400 20X6 10990 21410 32400 32400 l

2854 2 36X10 13750 18650 32400 32400 l

34X22 20190 12210 32400 32400 34X20 3468 28932 32400 32400 SEE NOTE 1 1

30X24 3383 29020 32403 32400 30X12 5317 27080 32397 32400 SEE NOTE 1 26X20 16940 15460 32400 32400 20X12 16300 16100 32400 32400 20X9 4659 27740 32399 32400 SEE NOTE 1 2854-3 38X28 1735 30670 32405 32400 i

38X30 1696 30700 32396 32400 36X30 1432 30970 32402 32400 36X18 20390 12010 32400 32400 48X14 22070 10330 32400 32400 36X12 22820 9583 32403 32400 28X16 14640 17770 32410 32400 2854-4 36X12 11590 20810 32400 32400 24X20 2112 30290 32402 32400 SEE NOTE 1 24X16 2865 29540 32405 32400 SEE NOTE 1 24X8 5905 26500 32405 32400 TA% t 4 0,I (LoNT '9 )

HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET 9bbD ' MsN Rc

" Soc kEl No. 60 2 41 W4 h IY 2

parg:

pace:

TITLE:

SUBJECT:

NMN NMAN

@ EM Nh BY:

CK: MM SHT:

OF l

4126-1 48X48 3860 28540 32400 32400 4316-2 19X19 22900 9500 32400 32400 4316-3 10X10 891 31500 32391 32400 SEE NOTE 2 Sdw

- Stress due to Duct Self Weight Sea

- Stress due to Earthquake i

Sb

= Bending Stress in Duct Panel Sm

= Membrane Stress in Duct Panet Smax = Stress on Post Buckling Effective Area Sy

= Yield Stress of Duct NOTE: (1) Stresses determined based on SSE ZPA'OBE 2PA multiplication factor only. This is acce-ut < ir a rigid system.

(2) No Buckling.

(3) Non-Essential Duct.

TAsts

s. o. '

C ""T ' " )

l

- - -. ~..

1

)

HOPPER AND ASSOCIATES i

ENGINEEDS CALCULATION SHEET 1.W N 6 C Tb(_):4]

MO, 6b,%l DATE-kINI L' Ed 1@

TITLE:

PACE:

EY: ON CK: N SHT:

OF_ f

SUBJECT:

O" N \\

e i

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i 14 R%)'%t p

rq16 ua r4 RC cw qcwT -

Tyv NexiqM Ftvwie.m]t9 excxs of h

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t i

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HCPPER AND ASSOCIATES i

ENGINEERS

]

CALCULATION SHEET mm DRo - u sw nt

'B6 tkel No. W -w onre Afrit- '94 Ib pace susa ct: Co 4 C E

• 4 Of d^'

9 [ 89 ~ b% sv: h*t cc M SMT: I 0F I i

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Cp49rTtoNia q ( CC9vAC ') TIM - f~kouc<] Pbet AppTeg mpwix3.oa, MA=4 s, icqq

-httachment 14 to NRC-94-0050 HDPPER AND ASSCCIATES ENGINEEt$

e l

DECO - USNRC DOCKET NO. 50-341 EERMI 2 CCHVAC DUCTING SYSTEMS i

CONCERN ITEM NO.18 EVALUATION CALCULATIONS l

l l

Prepared for:

Detroit Edison Company Nuclear Engineering Fermi 2 6400 North Dixie Highway Newport,MI 48166 Prepared by:

Hopper and Associates l

300 Vista Del Mar Redondo Beach, CA 90277 April,1994 S

HCPPER AND ASSOCIATES e

ENGINEEIS CALCULATION SHEET TITLE: R EsFONsE TD CONcx: p_N

/*B caTE: APit B y pace:

t susJECT:

M 816 OF' bf4 TEN'7 3 BY:

S. E. CK:

$HT:

4.

OF t

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TAat-e og Cos resrs i-l.O EtiTC0 D LA CTl O H I

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HOPPER AND ASSOCIATES ENelNEERS CALCULATION SHEET mte EsspoNse To CoNceeN

/9 oare ADE 9 4 pace:

I

1. O In riz. cot 3cr f os

,y:

A.12. cx: erAc sNr: 1 op z.

susJEct:

l. l Peo6L 2M 0T A TEMENT On

&rch 3, / SS4, the U. 5. N.R. C. su bmi blecl Docuel No. 50- 341 to Detrott Ecltsov, Compo n u Thts D oc.ket conststs of cr request for cr88 boy,a0 cv2(orma tt on C v, ferrm 2 C C HVA C 5. stem dest and afecckon. In fa({t cuh.(,

there are severa$ concervas regardt v,c the i

l sirtrc.tArae enYe ett] calc tA Pedov, s, HA - OS/89-696 cmcl HA - OBles - 696, performecl Mcyf f QSsocockes.

prepdecl w occler to l

Thts pacicage es resfovic\\

to Orte of the covv3wlevuts yasech b

the NRC re or(chn Hh-OSlSS-69 6.14me Likewise, the analysis of system 2850-2 indicated that this 4

system responded inelastically at one locstion, and it was thus concluded that a ductility factor of 2 was suffi-cient to achieve the required pressure load. The mean-Ing of this is unclear since it implies that somewhere in i

the system the highest stress calculated on an elastic basis was about 2Sy, considerably exceeding the maxi-mum allowable stress.

We

=w e eso --

,.e, u

HOPPER AND ASSUCIATES ENGINEERS CALCULATION SHEET TITLE: k 65PONSEE TD CDfVCE12(V

/O DATE: A Pit 9 V PACE:

1

SUBJECT:

1 N T 2 O B u t Ti Of4 BY:

A.R.

CK: AA A JC SMT:1 0F 7,

i 1

I.T.

investigation hPPROAC14 i

i The ackc 4 gressure ht 63 stem 2eso-z. h.s sabye ck.ed ba tovel be clete<mmecl.

The go c.e clu.re u secl u,

evcJacd.<A3 333, tem 3

H A - os/es-6 9 6 usted t s s o -r_.

6 summmetgecl. Mstm] he aciuof be des 3n pressure:, the stresses deve eoj>ecl ev, t%

cluektnc usted be evaeacaecl.

s s.

e r

=

M W

m i

s I

9 i

b, HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET

/

TITLE:

2 Es POr451-TO CON C Ef2 rd Ib DATE: A Pr._

94 PACE:

3 5U5 JECT: 7.O..ANALYlis A99/2 AA CW BY:

A. P.

CK: MML SHT: / OF 9 l

t

.__. __.7_. l _ ACTUAL bVSTEM PRESSu i2.E Du.c4. 33. stem i eso-z. ts.35~g5} duc3- ~

es

~

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[(2e( l 3

' Lhe -.d es t n pressure for +ks system us

--.-. G

• ulnher coeuen C posNve ),

.. In..LHe ccrecu2aGon rep ort HA - 09/8B - 6 9 6, like boancl n re.sswe was seleciecl to t

.he___J/ 3.ukdec.CoPuen ( Neg tve).. for i

d system 1 sso-2, %.repot.t_ founcl the Rouxst

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HOPPER A SSSCIATES CALCULATION SHEET TITLE: PESPONIG TO CONCEEN 19 DATE:

A AR_

9 4 PACE:

4 susJECT:

A uncvs,s pge O Ac_4./

sy:

A. R. cx: ow suT: 2 or_ ?

2. 2.

A NALvsis Peaceoues CL c.omputer ean of system 2eso-z.

u>c~s peqormed by Hopper f Assoc <ates ust.n3 e computer code ANSYS [ Rep 2 3.

th Stresses caere deternused f or the.f oefowung foackn3 uorchttons, Dead' wet 3ht l.

z.

Se tsm ec,

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3 of cuc!

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l 3

betsm e c.,

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L.

b e ts yn t C.,, SSE feSponst.sfectica, t

tdtih clucIaOt op 4 (E8a5 tC)

I and damptnc of z.%.

1'ht resu ettn stresses ctre survimortge cl en

~

Tcd de 2.2.l.

LoacItn conchttons L cmd 2 taere used en HA -os[B9 - GS 6.

4 m,

HOPPER AND AS$3CIATES ENGINEERS CALCULATION SHEET TITLE:___

EEsr>ONGE TO br4 C.E 2.f4 l b DATE: A Pe_

3 4 PAGE:

$~

$UBJECT:

A N ALYs15 A pep o A c.>-I BY:

A

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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: OFSPONSF TD CONrErd

/8 DATE: A PC h Y PACE:

b j

sus >EcT:

A N ALYsis A ge20Ac u sy:

4. e. cc:

me sNT: q o, 7

STRGSSES I

l 5 2 C S $1

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=I Dts CT Dv/

SEI3 Msc p = 2 S E15MI C.if/.p =

D AM D = 2.[^%

9 (en, sr )

(Psi )

DAMP = / 0,

pAMP LjQy, B$ q'N p5 p Qzy pr Q $$ py 40x2b IIS 863 931 1095 34x26 07 1034 fil6 /3lO 34<20 'Of 7 9 Z-B3 0 351 2.6x / 6 9I 1256 1610 1333 26x/0 171 1354 El63 4063 r 16 x /t/ /16 LOSS 2336 343 3 i Ib x /0 IO6 I560 2 bl5 5240 /W M 235 12.3 Z. 1952. 3z26 /W/O / 6 2. Z os M 3365 6034 /4 x 8 1 39 /959 174 2 1953 /0 x 6 172 /03 5 1463 I 63 cj /0 x G I32 603 B7I /605 6x6 331 z siv zv63 2 sie 1 l TAsts 2.2.1 Sysrem

2. 9 50- 2.

es3uur Sreesses ) e* -e.-- <= .=

HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: kESPONSE TO COr4CE/2fN /@ DATE: APE hV 7 PACE: sus >EcT: AN nLYsis A PPe O A C.H sy: A. R. cK: BA% SMT: f oF ? i i 2.3 S u c wuse, 6 resss [Ref 3,Pg 35.s] P&Le egastsc c.ompress, yg buel<gw,c, stress. A 2 t>. s. t 3 +-- i 2 cn %l= H II E f i 4.-----

12. (I- (2 0 b]

ES l 1 t CX. v> bete, I l E= 2 3 v /D p s e f i 9= .23 h =. OSlls Lnch 18 gage g.6 but x=4 fOr (6fa < ; } R. l b a t b/a k S critical l' (in) (in) (in) (psi) 40 30 0.0516 1.33 4.34 188 34 30 0.0516 1.13 4.06 244 26 30 0.0516 0.87 4.00 410 16 60 0.0516 0.27 4.00 1083 14 60 0.0516 0.23 4.00 1415 1 10 60 0.0516 0.17 4.00 2773 8 60 0.0516 0.13 4.00 4334 l e l l j

-} HCPPER AND ASSCCIATES i ENGINEERS CALCULATION SHEET f TITLE: RE s PONst: To CcWcEcN /R DATE: A P f_ S4 PACE: O sus >EcT: A N auvris ArezzoAc.e sy: A. E. cx: MAac. swT: 6 op7

2. 'I D Ampis c, E va t_ ua r,oa A damptmg va2ue of 2%

was usecl throagtaant the awa2 ses perfarmeel e.n 3 HA - OSl BS - GS 6 Hoalever,for s stena t % damptn3 vaeae cqpecdec zeso-t, the to be too conbervattve. CL rev>ew of the avasect bee 2.t erature produced a more reasondee vaGae. i clacitv]i to the Eeferrt.wj as a boetecl steef j assemb2, Ee a2ator G u t cle

1. 6 I re commends 3

c~ daw 1prn3 volve of T% f or a Safe Sht<tclown Earthc; uake. Other (eferences et ke, L 2e( H, Pg. e s z. ] ara d C 12.ef 5, Py t-4-iz 3, 2ost % atommendeel clavnptn vcseu e at /o - /s 4, at or 731 befow giefd po<nt. l

HOPPER AND AS$8CIATES ENGINEERS CALCULATION SHEET TITLE: k ES90rWE To Cr>r4CErcrv /8 DATE: A 9/2 L/ PACE: I susJECT: AtiAcYSIs AF98aOAcH sv: A. E. CK: MfV-SMT: ~? OF 7 [ [. R ep 6, Pg II-t-1 ] dsscasses L. ha.t i 7% damptnc a d e 7 u a.t e a.5 shown l t.s h tests gergormecl ovi cl u c.(tvic, throu v sys ms. From Lrdef 9, Pg 4 -n. ], wk.c L i spet upt ca E23 1 a cid / esses HVAC duc(t.n}j the conservaEtve8] f estuvv, ate d daw,ptn3 es ceporteel ol '7 % o.f c.n ttcc<E. I From a bove, t.t t s evs clent that ase of not tinrea.sona ble, an el i 10ladamptnc, es that 7L woued peEcl aggropetate get stree con.serva ttve resuets. l I e f r h .7. i

HOPPER gN SSOCIATES CALCULATION SHEET TITLE: @EsPONSE TD CDN cE=E.N /8 cATE: A />s7_ $V PACE: IO

SUBJECT:

3e O A N AL,YS15 sY: A I2. CK: M 44c SHT: I OF 9 i i 3.1 Reana'vs,s roe. A c r u s t. pe,3 sue s As mevittoned eathe6 tkne desn.3 n pressare for 53.ste vvi z. 850- z. cs 6 " w/. C. u s tnj t hts pressuve an d the vcc ous Eoackng cc>n cl tttons, the toto 2 stresses actemq .J on fkne ducts are cleterrvt unecl. l'h ese ove Tcubhes through 3 l.3 f shown tvi

3. I. I Exceebance the cMowc, bee stress of of

. 9 F~ occures for one the L6"vlO" duct l y under the 2 L davnptmc 551=Goabtvgi.

stge, The duct ts s howvi to be stressecl to 1,3 P,

whtcbi sugests thoth then_ wt4#_ 7 u t e0dty]nncut the corners. be g Secb ov;

2. 4,

t hie As taas s k:owvi tn of 2h dompmc ts very ccn.servottwe Lase t pe foc ck vi. For cs move crvi SSE for t reasOvla bfe jei _stsPP covtserveckxve crvla0 se3 3 c~ vaPue of '7%clavngmgeam be usecl. i l

l E 5 I I e O 79 l 9s ) t l 2 2 P ?, r-b d Scritical Sdw Sea Sdw + Seq Sb + Sm S combined % S yield NOTES (in) (in) (psi) (psi) (psi) or Smax (psi) (psil (psi) W h 40 32 188 85 774 9348 13650 22998 64 < 90% S yield 0.K. 40 26 188 115 869 11055 13650 24705 69 < 90% S yield O.K. Z 34 26 244 87 1034 10421 13650 24071 67 < 90% S yield 0.K. g j 34 20 244 101 792 7775 13650 21425 60 < 90% S yield O.K. To o n 26 16 410 81 1256 8636 12240 20876 58 < 90% S yield 0.K. I g g 26 10 410 171 1354 10304 12240 22544' G3 < 90% S yield O.K. p

n 16 14 1083 126 2019 6882 8040 14922 41

< 90% S yield O.K. gQ s 16 10 1083 108 1560 4278 8040 12318 34 < 90% S yield O.K. D -f 5: o 14 14 1415 235 1232 1663 6920 8583 24 < 90% S yield O.K. @ Q'un 14 10 1415 162 2054 5242 6920 12162 34 < 90% S yield O.K. ui 14 8 1415 239 1458 2762 6920 9682 27 < 90% S yield 0.K. 5 0 ,y $ Q 3 10 8 2773 272 1095 1367 4090 5457 15 < 90% S yield O.K. 10 6 2773 132 609 741 4090 4831 13 < 90% S yield O.K. e m 8 8 4334 312 2314 2626 2640 5266 15 < 90% S yield O.K. p n Sdw= Stress due to duct Dead Weight k Seq = Stress due to Earthquake y Sm + Sb = Membrane and Bending Stresses on panel due to pressure. See (Ref. 8] for detailed procedure. Smax = Stress on post buckling effective area. See (Ref. 81 for detailed procedure. g g Scomb.= Summation of Sdw+ Seq +(Sm +Sb) or p< Smax + (Sm + Sb) E 5 n N TABLE 3.1.1 SYSTEM 2850-2. STRESSES FOR DUCTILITY-2 AND DAMPING OF 10% 0 2

,s E is M O N m M %o y Z w Tl b d Scritical Sdw Seq Sdw + Seq Sb+Sm S combined % S yield NOTES 3 r (in) (in) (psi) (psi) (psi) or Smax (psi) (psil (psi) U U M 40 32 188 85 827 10072 13650 23722 66 < 90% S yield O.K. 40 26 188 115 931 11901 13650 25551 71 < 90% S yield O.K. 1 34 26 244 87 1116 11372 13650 25022 70 < 90% S yield O.K. S I 34 20 244 101 838 8309 13650 21959 61 < 90% S yield O.K. 'n 26 16 410 81 1618 11848 12240 24088 67 < 90% S yield O.K. A N M i 26 10 410 171 2163 17483 12240 29723 83 < 90% S yield 0.K. O M 16 14 1083 126 2396 8941 8040 16981 47 < 90% S yield 0.K. '9h 16 10 1083 108 2615 10039 8040 18079 50 < 90% S yield O.K. y5 14 14 1415 235 1852 4626 6920 11546 32 < 90% S yield O.K. z E y, 14 10 1415 162 3365 11506 6920 18426 51 < 90% S yield 0.K. y "8 14 8 1415 239 1742 4119 6920 11039 31 < 90% S yield 0.K. O o 10 8 2773 272 1469 1741 4090 5831 16 < 90% S yield 0.K.

1 5

N 10 6 2773 132 971 1103 4090 5193 14 < 90% S yield 0.K. U E 8 8 4334 312 2469 2781 2640 5421 15 < 90% S yield O.K. p M b Sdw= Stress due to duct Dead Weight h N Seq = Stress due to Earthquake 5 Sm + Sb = Membrane and Bending Stresses on panel due to pressure. See (Ref. 81 for detailed procedure. 3 Smax = Stress on post buckling effective area. See [Ref. 81 for detailed procedure. (4 ' Scomb. = Summation of Sdw + Seu + (Sm + Sb) or Smax + (Sm + Sb) .s N TABLE 3.1.2 SYSTEM 2850-2. STRESSES FOR DUCTIUTY-1 AND DAMPfNG OF 10% W o W to

m E S M M 0& $o Yz b h j b d Scritical Sdw Sea Sdw + Seq Sb+Sm S combined %S yield NOTES (in) (in) (psi) (psil (psi) or Smax (psi) (psi) (psi) g h 40 32 188 85 955 11819 13650 25469 71 < 90% S yield 0.K. 0 40 26 188 115 1095 14140 13650 27790 77 < 90% S yield 0.K. k 34 26 244 87 1318 13716 13650 27366 76 < 90% S yield O.K. I 34 20 244 101 951 9620 13650 23270 65 < 90% S yield O.K. n 26 16 410 81 2299 17891 12240 30131 84 < 90% S yield O.K. M ] 26 10 410 171 4063 34343 12240 4658'3 129 Exceeds Allowable E N ] 5 $$ 16 14 1083 126 3433 14604 8040 22644 63 < 90% S yield 0.K. 16 10 1083 108 5240 24373 8040 32413 90 < 90% S yield 0.K. d ED 14 14 1415 235 3226 11191 6920 18111 50 < 90% S yield O.K. ON 14 10 1415 162 6034 24259 6920 31179 87 < 90% S yield O.K. y "$ 14 8 1415 239 2853 9428 6920 16348 45 < 90% S yield 0.K. m O 10 8 2773 272 1899 2171 4090 6261 17 < 90% S yield O.K. .5 hO 3 10 6 2773-132 1805 1937 4090 6027 17 < 90% S yield 0.K. M E 8 8 4334 312 2819 3131 2640 5771 16 < 90% S yield O.K. D y N Sdw = Stress due to duct Dead Weight N Seq = Stress due to Earthquake { Sm + Sb = Membrane and Bending Stresses on panel due to pressure. See (Ref. 81 for detailed procedure. g Smax = Stress on post buckling effective area. See (Ref. 8] for detailed procedure. Scomb. = Summation of Sdw + Seq + (Sm + Sb) or to, j -c Smax + (Sm + Sb) g ,nR x TABLE 3.1.3 SYSTEM 2850-2. STRESSES FOR DUCTILITY-1 AND DAMPING OF 2% U g to

HOFPER AND ASSOCIATES ENGINEERS CALCULATIUN SHEET TITLE: k E: 6 p o m m 7"O f_ O N U=2 rf /9 DATE: A P/2 94 PACE: IN-sus >ECT: ArVALysis BY: A.R CK: #W SMT: 5 or g 1 I~he stresses wrresgonckM] to 7% domptM] cwe de. tern,tv,e d bj spproppta.teD sca0s.m3 i 3 t he resuets ahtcanecl ymm z% and IO't, The ftist damp tn comf>ater

fans, m ocle naturae f (e y aen c3..

of ,5 stew 1

2. 0 5'D - 7_

wcas deterevttv1ecl to be E. '7 Ng, From the respovise spec'[ta Fngares

3. l. I en an cl 3.1. 2, the acceDecatzon foschors corresfoNt to %c<t.f(e9aenc are as f o800ws,

• • Z %

7 /v I O lo 4.O g '27_ g /.Og E - m/ N-5 3.5 e

2. Og I. b g For 2 6 "y I O*,

E-M ug= (*j-) ( 40cs gs. ')

2. 2 3 5 [> s.'

S = or Se,, = (2., s ) ( l f

• 2' " " f5l ecl,

5,q,7, Ogs[ 26Wr M cu/c/ = = z

HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: /26S PONSF ~FO CONC.GPM /9 DATE: A P,2 94 PACE: II $UBJECT: A W a e v st.s sy: A E. cx: v4 sNT: G op.3 N-s S,,, = ( z. o ) ( 9 063 p s, ) = 2 32z ps, y 33 or Bya,,, = (2-,,,)(us3ps,)= 27 oN ps, osera0e 4 5,,.,3 = 2,09 zazz z sis /as< z ecwger of: the two vaeues, LA se u.e. S ea.,79 ts l3 ps, = i b-the stres:- om tlne post buel<.Qecl egecteve cm es ca2caeote b from Smm M) + S cc ( b - u ') = ( 5,, + Sow 3.( b )

wken, b = 2 6",

ecagest cL ei dtvreos,on See = 410 ps,', panee baa<etn3 stress 6ow = 171 ps,, Dem d \\A/e t3 hi stre.ss S a o - 2sla, ps,, Seismi c s-bess D 7% damptnc N= 2c+th ~ IT h E [f27 3, Pg 4/s ] C = }_12.Lt-t>M q, - __---.jc g

f I HOPPER AND ASSOCIATES ENGINEERS .l CALCULATION SHEET TITLE: 2(=SFONsE To Cor4 c e 12 N / Q, DATE: APE _9 tf PACE: Ih

SUBJECT:

A rv A LY3 rs BY: A.12 cK: Mht SHT: 7 OF G i h =. 051 b incl, cluci t htclcvess i i 9 =.1% l 1% /O' gsi E: }p = 3 G, m j2 s s jrel'cl sttess of steef (. 23.io' ,,3 g g en c h j C= = N/ 12 (,- (. t S)') 3 6,000 N = (i.s e s) (. 2 ) - a (. os-l O = z. B B m c L i So, (1 sis + <71) z e '<io ( 2 s - 2. s e ) i t S, =

2. s s 70S33 j?s s

= CAS befofe, Sm, 58= s t, m o p s,' t I %m b = Smm + Sm + S b = 2033% n;t4 0,pgl 'b3160 pst = 4 5 = 33180,, gg = 9 7, 3bOOD i i t i

PREPAREDOY:[A.*, [ [ M (*[f,a(q(,.,, ~ KRDLIKDWSKI DATE SYSTEM ENGRs. { 4(,,,,, . ANAND DATE b .y " 3 ~ SITE SPECIFIC EARTHQUAKE 5% SITE DAMPING B og necuencr in ces 50.0 ED.0 10.0 5.c Lo 1A c.5 i en

• _ l. '..'

. '... '. ' ' ! 'l' ' ' ' j '. l. l.'..'.'...'. ' l ' '.','.' '. l. l. '..' . '. 6 :n.o 15.0 ~ 15.0 1% D W ING 5 / 2% D W ING i-2' *g fp E D W ING ? / / / / / A D W ING { ^" ^' y y y 7 Lx / / IE D W ING 4 ..J 7 E E d W / / i /r / E / f r -

.00 et Hgc 1 58 r

1 50 f e f/ 1, e \\ 1.0s g g,cp D 2.30 g g'o 'I ~ cc 3.63 0.65

2.,

=. s ys $j\\ 3 43 a: 2.sc_ ,\\- D.30 y-2.cs ~ g 3 20 G.to 2.is o.n x E si ~340 N\\\\-\\ E CJC ~343 !E b c.te b 3 3C C.ch I ^3*M ' ' ' '.o's ' ' v'.v.' ' ' ' '.co ' ' 'c.s'o' ' c'.4 o ' ' ' '.5 o u.w. o.cs o.go nas o o.co a.co 3.o 2 E.o C.c5 tr.ct rEntoD LH scCOND5 ~ ) REACTOR AUXILLARY BUILDING: RESPONSE SPECTRUM F1GURE NO. ' SPECTRUM ~ NDDE ELEV DIRECT LOCATION }* SES-D-37 5 604-6 NS REA-AUX BLDG SLAB 5 i

PREPARED BYrthe M.".T.(? W.t,a;,t.,, _~y,:]: pp pCQgll A. KROLIKOWSKI DATE vv i L ,\\

• d.b.. 4 y l.....-

l _SYSTEN ENGRr. . ANAND DATE i6 SlTE SPEClFIC E ARTHOUAKE 57. SITE DAMPING .y 9 Sg TECDUCNCY 147 CT5 ~ 50 0 t0.0 10.0 5.0 rO t.0 c.5 f.D.C"_ l, ', [ 'l//[',l, l, ', l l, ', l ' l ' ' / / / _', l, l, ', / , ',, [_p.o ~ 13.0 liF.C ~ 1% DMPING i / so.u 2% DMPING E w.ei E

.=

3 /// c.c: S? DMPING .co ~ csc= //- R DMPING s.es _d I[7 c.# ~ IB? DMPING - 4.= ~ 4.w _ / j 1 3.DC 3.00 : -4 j- .00 t, t ct ,5g i / 4 g s [" E \\M B *!i W e e ~ -~,.. 3.50 ~ \\ J 0.5U -u 3.53 U.Sc N N 3.40 \\ \\ 5 M N 5 c 40 \\ b 3.30 0.sc N 3e ~ o ? 2.u . h(: 0.n c.ic \\%, _2.12

,. =

l: +! an \\- \\ ,,i ,,,C3.35 on o,g,,,, 0.c3 c.c4 c.cs c.cs o.to c.t s o.co c.so 0.40 a.eu o.so 2 0 15 ro .Q o.04 rEA10tr 14J sttalJD5 T REACTORAUXILLARYBUhLDING: RESPONSE SPECTRUM F1GURE NO. Od *l* NODE ELEV DIRECT LOCATION SPECTRUM SE5-D-38 5 684-6 EW REA-AUX BLDG SLAB 5

HOPPER AND ASSOCIATES ENGINEERS ' CALCULATION SHEET TITLE: E ESPOrdrE ~7~n CONCEPN /b DATE: A Pf2. $ 9 PACE: /3 l sus;EcT:

4. O Cosc cus t ONS sY:

A.E. CK: fML SHT: i OF I 1 C onc cus i oNs concarn posecl bg p to In (esjonse c~ D octret No. 50- 3 4), clu c.Em the NRC t.n reonaegecl gor s3 stem z e s o-z. voas auctack dest on fresswe of 6 " VJ. C. (ibs *L w '). for c> very conservcatwe It es s hovan that i of 2% damptog, on0 the 2 6 'x 10' c cuse duct suge exceec}s the affovJc4 b8e sErest vaDae of . S t7y. For more recuana bee, yet step 2 e.pnservcdeve valve of c%pm og 7 h, ok the clact st3es cae cd. or befoud -tAne o#J2ovocs bPe. stress. l l e

a HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: 2E%PONsG ~7 0 CONC GPN /b DATE: A PE 4 MCE: 20

SUBJECT:

EO 2,= re,- t= rac es l BY: A.12. CK: M Hf-SMT: I 0F 1 t RE PE CEN cES Tefecopy t<c v,s>mssion from D a.ve I. 3 c~x D ECo Ferm t 2., lo Hoppcr l { Asso c.cstes, Opne IZ,1999. i 2. buJavasom Ano2. sos S yste m s,.Ev,c. \\ 3 A N.5Y.5 - Pc_/Line A e

4. 3 A L/ ~,

/ 2 - I - B B. 3. Temoshen ko 4 Gere. " Theory I or EYc, si c J i S tc4 bt &ty", 2 d e ch b on, Mc Grcuv - N,(f l d 15 6I. 4. Newmcrrk ] Ha22, " Proceclares crncI l Cnterta por Earth unke Resistant 9 i Design" from hePected Papers bj Ncdhan M. Neuvmark C i v,8 Enomeenac< [ v 7 C ec4 ss t c.s', AscE, /S76, [ 5. Ha22, NeuJn%fk, kennetb fSteV2Ason, betsmtc 2esustance of ExostenFcact 0t tres *, (com Ctvse Enatneeema ancl Maceear I 0 J Pou.ier, voe 6 : Desicin and Anc4 Pus es or (.) 7 HacPeor Fc,cs8t<es r, or Earthqacake', ~2. d Coage/eace On, ASCE, Tenn e ssee, 19 9O - - - ~~ ~-- -*~~'-

~' HOPPER AND ASSCCIATES ENGINEERS CALCULATION SHEET f TITLE: kSADN*:4~ 7~o COrVC ER N /b DATE: b PAP 9 '/ PACE: 7.I sus >EcT: 12 EseeEsctri sY: A. C?- CK: MM-SHT: 3-OF_ E 7 i I 6. Nee 2 f klares v, " h ProcedrAre p or SetsentcaBP GucJgtvig HVAC Ducts u.secl t n Nuceear Potver Pecants ' f rom (_ b s cl voe i d Z Conf e re nc e on, ASCE, Tenne ssee, / 9 Bo. 7 Jo c k E. Gegamo n j Associcites et cJ.. " A M ei. hodofocr y cor Assesment oc ej e r NucPear Power Pec nt Seisn1t c M a rot t a' j e Reviston d N F - 6 0.41 - S L. Projeck i j i Z 71 L - 2 3, E PEI, 19 91. 6. Hoye/ j Associcdes,

• DECO - USNEC Doc ke t ta o. s o-3,4 8 Fern 1s - 2.

CCHVPC Ductte 5 stem 3 Con cern.T. t em Is

• 3 Cap n e, I Se tf.

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