ML20024E314

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Effect of Liner on Forces in Slabs,Big Rock Point Plant
ML20024E314
Person / Time
Site: Big Rock Point File:Consumers Energy icon.png
Issue date: 08/03/1983
From:
NUS CORP.
To:
Shared Package
ML20024E297 List:
References
NUDOCS 8308100227
Download: ML20024E314 (55)
v • d • e


Text

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Consumers Power Company Big Rock Point Plant Docket 50-155 ENCLOSURE 5 THE EFFECT OF LINER ON THE FORCES IN THE SLABS l

August 3, 1983 1

i l

f

(

l 55 pages ic0783-0238bl42 8308100227 830803 PDR ADOCK 05000155 P

PDR

- +NUS 07/lof63 DATE CORPORATKJN 55 46-FA-c 6 BY MM CLIENT C P CO-BRP FILE NO NRC ~ lYfMS ML Checked By SUBJECT The eEcc4 ed

\\iner on +he fevees in he slabs :

%c 3/vo in.

4 hick siainless steel linev is like.

an oben vectanplar box blaced inside 4he pcA. Toew afc no 4 heat conn eckovs be tween 4he concrete slob-o.nd

&c

\\inct hj ei+het is % eve any physicol b>c r d bel vva r h

concrele sia.b and 4he linev Airce &c lmer was placed aflet %c coneve.4e hardened The.

linet-wh::h fevms

% oben tectang u.\\at 6cv is 4m>cnded f vom 4We lok of %e pool wo.lls.

L

{incy is hecdect Evern 7o' F fo iso *F dve. g coeficiend of %etrn o!

he thevroal eve nt.

h nnean ex p o.n sion of 4he

\\inet in joing fy'om 7a*.F to 15f F is

-G cl. 2 5 x (o in./in. / F

( ASME B4PV Code

'l 9 "l 7, TableI-5 0, s

boge 66) o.nd ils elo.slic modv.lus is 27 9 xdo Psi Te.e 4ernb evolute of ConcrcIt

( Which ca uses Unij or n.

mean htrnal e x pa rs:ce )

is less kan 4hd of ec \\iner. m eccscient cf 4herrnol expanscen

,f concycfc is

l NUS tli "

~

DATE CORPORATION CLIENT C Pco-BRP FILE NO. 5 1 4 6 - F A - o (#

MNI BY NR C-14e m5 SUBJECT Checked By M

l-

-0 5.s x to in. /in. /, p and Gs elasWc. modulus is l

^

[..

SYi i

concrete

,,L_ ii -,

4 l

Li 7

ner t

concrefe

}

L l

3.12 2. x, ( o' hsl. herefore, 4 tresses in 4be liner and &

concrck sloh ate developed dva lo %e diferences in 4hese varides.

%e hiresses are.

in kursion in %c concre4e.

and in compression in 4he liner.

The linev al fhe C e ets of the Ecol is 4h:wn l

in he shekh.

As liner ex pands hyrnilly, displo cou.is I

are applied

+o

%e conneckrg circulot Aeg merk of

+he li ner.

Axiot compressier and bending me nt i r.

1

%c C \\rev\\oT segmenks of 4He \\ints and Wa\\ c=epessten in 4hc Afvoigh4 Acgvc en s of %c (incy Ott cle ve.lc hed.

1 i

l tNUS 07!/O S3 DATE l

CXJRPORATION CLIENT C Pca - BR P FILE NO. bl48-IA-Ob BY NEC IYCM6 Checked By Mb SUBJECT Eis 0xioI cornpvession in 4he lineT xes b.lts in ei ol fersson berng o.pplied so ihe concrede slabs of 4he beel.

ThLse 4 ensile forces o.ve evaluoded and used in 4he. co.letala.k.m l

C[ McMen ahd dhed.T CohaCikCS 0[ dhe ConCTeke Slab 5. The caic.v lolion cf 4he

-fotees in 4he liner otnd 4be con evde t

is desenbed in 4he f ollo wing.

1 Yne h o N T onko!

a n d Ve Y kEC.o}

CTCSS Sechions OYo tA0h 4he poet o.-ve shown in -the ske4ches below. otte. 6 kmm4r/

1 co ecMTT.

s d-I_

\\

I l

s.

\\

e

\\

I i

\\

ll l

l

'i I

uner.

l I

{ j _ineT _

j i

7 e

a ri.

l r

b Co nc'vc kC.

Rev.eerM sec4.

en

._.._ a l

verk et secher.

Prg? b of bT 07,!/d/

CORFORATION DATE MKP C Pco-BRP pite no. 6/48-FA-of gy CLIENT NkC~ IbfM 5

/^ b Checked By SUBJECT condifiens 4hc potlion abcde of -lhe line.t is analyzed. 'Due.

to ec heokng of 4he liner, 4be droight botlions ob and cd

' expand and Shply Exial dejovrnokien to %s curved potkan el b and d.

The cutved Aegmen4 6, ends dwe 4e 4hesc edisplacerneds and telieves feme. of %e compwssive -}orces by bevmifft'rg 4he Altaighl boylion 4o c.x pa nd. The om o.1 comb-re ssion developed in 4he liner dehends en 4he res4vaint cheved 4o +he afvaight bo+4 ion of k liner due tc

&c 8lexwral tigidily of 4he Cutved hotfion.

At locations 6 o.nd d 4he ahorghi Ec+4 ion of 4he linct is we.ld ed 4e +be cuvved Eorlien Lj a single fille 4 Weld. Rnned b

l p

bkh04 $ OTe

$U Yn e C O tse O

On.$ e k

G OS C i(

/ Cutvc Me.

be.ndinq rnode oh khc C)MVed C ""' ", 8

?

a,egmer4 ef +he kner undev membrone #

displocc menIS 0.pplied 03 b

ond Cl Is 4hcWn in 4h(.Slwick-

}nCIudcd ok h Ond p-Tntrefott, acididional du phovls 0-rc

5 of 65 Pzga 07!l2/83 DATE CCRFORATON CLIENT cPco-BRP site no. 5/4B - FA -o/o ey M KP N RC-I$fn16 Checked By

/O-SUBJECT i

l I

fA

%c rno4 hema 4tcol rnedel n

of 4he liner used fc4 +bc l-L LY eno. lysis is 4horen in N l

b hkfNdia p

y jl>,

a g me+

n g)*. "

t c

_g d

e 8

d!.

"h L

}H g

g-3, l'/2.

th i

Bending e$ects of 4he linet hovkons ab and de Gre neglected and coly mial efects ave incbded.

Fev bending analysic ke.

4fyx.ktArc 4hown in 4he sheich b elow is censidcycd. Du fo 4he-rrn al expansien

$> b W 'A of 4he. linct b moves to b' l

s l

l. sin.

l

(,bb, = 4,) and d moves f o nw g

/

l sf d' (dd'= ai). Inc yo r:c s

  • d mo"'*45 d "' +

c\\

d' a,d a

N d

h khtSe Nncimo\\ disVoumenks

- (. 5 "-,-

O T C.

nc W Co\\ctblohfd

' tNUS

" ';;'Es I

CORPORATION DATE CLIENT C PCo-BRP FILE NO_ % 8 - kA -d S N

BY NNC-1Y(MS Checked By ML SUBJECT Conside-r displacement A. Release 4he 4 owe in 4be i

Y cdiYeckon af b

and o p p y a loa.d

?, in %e dive chen ej 4 tesullig 44ruckixte is. statically inde4er miede snce 4he consislenI deformo$ien rne4hed is used.

P h

I' y

GI t. 5

de ds 45" d

E 7

d 9

c O

I77 (a)

Cb) b g

(.5 a

g,5 R

4.s' (W

t

[

F e

e ds g

a c

c g

a i.s " 8 c.sg.

1.s" e 4

sg I

R g

g 2

(c)

(d)

tNUS o;%u DATE COFo; ORATION d P c.o - BR P FILE NO. 6'/dS" II ~Ob BY CLIENT SUBJECT P4 RC IEfWLS Checked By M L-ove g(vem by:

and R2 i j mids

[Mmi s = o 2 jmim2 d5 +

d

  • R R

R, jmim2 ds + Rz j m ds + j M m2 d5 = 0 z

bending moment due lo P

where M

=

m,=

bendino movnen4 due to R=I g

bending moment due to R2=t rna=

and a-re

given, by:

M=Pz Reggen hh TYlg = -0 5 %

5=%=c ho 15 m2=-o5x-M = Ct sP)(i + sine)- (t.5P) { l+ Cos9) = 0.5P)(sin 9 + ces 9)

R egion Jg m, = (-o.3)O.s)Ct & sine) +0 oX t 5)(sin G)= -o.7 5 (t-s,'rs) m =

-o. t s (, t + sin e) s = R'e 3 0 = c 4c ~/z z

M=

P C t. 5 - x.)

Rejion rni = o S=x

=0 40 (5 gd PA 2. = -((.5-X)

tNUS "ll:'dEe CORFORATION 614.B - FA-o/o W."

CPCO-ORP FILE NO ey CLIENT SUBJECT NRC Iff ms Checked By M L-i.s J vi m, d s =

[ _ o. 3 e x dx.

.,. o O

vlz

+

(t.5 P) (sin s t Cos G) (-o.15) C l-sin e) (t.5) de-0 (s

mz

= ~ *

  • 5 F *3

- G. 4 2 s e)((.s) j (st ne + cose - site -sn e Ccse ) de 3

o O

T/z c.5G25 P - (.6875 P (Sine

  • Cos G -y + CCS E' sin zG ) d e z

o s + 5in s - { + 8i" * + ces 2e

= - e. ss 25 e - (. G s Tse -cos l

~

~

= - c. sG 2 5 P-t.5815F

- Co -t) -t (<-o) - 2 + ( o -o) +.!. (-t -1) 4 4

P [-c. 5625 ft. G 8 75)( (.5 3/4)" = - I.1 G B 4 P

=

i.s i. 5' f M m2 ds = j (- e.s)(P) (2. ) dx

(_ p) c,,3 _ d d x 2

+

0 0

nfz

+

(I 5 P)(sin G + CoSO)(-o.75) ( i + Sin G) (t.5)(de) l 0

( p)( <.s.-x)3 ' 1 5 3

t. 5 l

=(-o5F)y

+

o o

3 VI2

- (.6BT5 F (Sing -+ Co.9 + 5idG + 5in 6 Cc56)d6

tNUS DATE M,

b-CORPORATION CLIENT CPcn - BR P FILE NO. bM - EA-O b BY bdEC-IhCMS Checked By M

SUBJECT T/z

=. - e.5625 P - t,125 P - l 6615P j (sine + Cose +j c s 20 + SN ts ) de 0

n 7/2

- 4 G875P-16815P - cose + sine + e _ sin 2e,_ ces 2e l

2.

4 4

l o

= - 1 6815 P- ( GS15 P.- (0 -1)

  • O -0)
  • f - (o -o) - { (-t -t)

- i 6 B 15 P - i. 6 815 P ( 2 5 +

).=__7.F_34GP

=

1/2 t.5 l

j m* d s =

{ o.zs =c* dz

+o +[ 0,5)(- Ts[G-sine)* de 0

l o

L.5 111

+(0 0438) j O - 2 sine + 5cn e) de 2

=

  • 25
  • D 0

o T/2.

(0 6438)j ((-asone + {

ces 29) de O Z8\\3 +

=

o

= (0 2813) + (o. 843 8) (0 + E coss + $. _ Sin 2G }o 2

4

= (o.28t3) + (O. B AS 8) ( E + 2.(o - t) - (0 -o))

+

==

O 58 ! 9 45 j mim2 d5 =- j o.z s u.2 dx

-t o

O Tl 2.

(-0 75)(l-Sin 9)(- c.75)Ct+ 5in G) (< 5) d G

+

O

D P g?

of 36 O7f53/bb CCFFORATION DATE CLIENT C.PCo-BRP FILE NO. 514A -F A - olo BY MNE SUBJECT N EO IkfMS Checked By M L-3 t.s

+ e.s4so j (1-sen e) de

=

o 25 2 b

'o W/z o.zeis + o. s43s 5

(.t + cos 28 ) de

=

1 2

Q

c. z sis + o. 8438 ( & + sin 2e) = o.2si3 +(o.erse)(E )

a

+

4 0 9440

=

(5

t. 5 jm* ds = j o.as z*dz +j (4 3_xf dz O

O

+ f

(-o.75)*(i + sen e I (< 3) de

'I2 o.25 [ i.5 (15-1)I s.s

=

+ 0 8438 (1+ 25(nS +5i[9)de 3

e s

'o Klz l

o. ze ts + t.tzs + (e. s+35) j ( i + 2seno + 1 cos 28) de

=

o E

e i 40GS + (o 8438) [e - acese + A 5;n2s, 'Iz

=

z

+

J.

4 406 s + (o.e438) " I - z (o -0 + I - o '

=

-z 4

s.esai

=

%,cre fere :

0 5 8 tet Rg + O 944o Ra = l.T664 P o.944o R t 5.o82( Rz=

(.2 5tG P 3

on soltA4 den gives:

56 PzgaII of O7,/ I3 / 83 CORPORATION DATE CLIENT CP Co - P3R P FILE NO.5 I A8 -TA -o 6 MKP By SUBJECT NRC Ih8W Checked By ML R = 4 0457 P i

Rz=

1. ? 2 87 P Final moments GTe :

Regien bl:

M=

P z - o. 517_9 Pz - c.6144 PI

= - c. 13 7 2. P x j

D = - c. g 37 z :r_

BP M=

t. 5 P (Sine + cose) - Co.7 5)(t.o457)(t-sin 9) P Region fg:

- (0 15)( t.2.2.67 ) (t + 5MG) P l

l P (t.5 sine t t. 5 Ces 0 - c.7843 + 01843 S^6

=

- o.92t5 - o. 92ts sine)

=P(- t.7ose + t. s cose + t. 3ro2.8 sm e)

D_M =- (-l.1058 + (. 5 cos e + 4 3 6 2.8 SC n 6)

BP Regt'on g cl :

M=

? ( t.5 -x) - t. 2 2 8 7 ( (. 5 -:t]

-o. e z s r ( t. s -x.) P

=

'd M l

l

= (- C ' 2 2 87 ) O. 5 -x)

DP l

'"' "F tNUS 07 13 I 63 DATE CORPORATION CLIENT cr>co-B RP pite no.MB--M -06 sy W

Mb b6MS Checked By ML SUBJECT cornhve ssien in L

=P i

Corn)vesSion in Lz=

P (( t (o. E)(b d4ST)- Co.5)(t. 2.2879 o,90ss e

=

3. o_

( g atA ds ap J FI BP i.s i.s gkl.j e(o. isizi 2.*dx + je(e.2.2 87) (i.s -2.f d*

=

O O

TI2 j P (-l.1056 + b 5 Coss + L.B 62g Sinef de 3

+

O l

.P__ 'Coi3129(:d)

(o 2 z 87)* G. s -zY '

l EI 3

3 C

O T/t 2

2

(.t.1oss)* + (.z. as cos*e) + (i.36ze) Sn G

+

i

-(2)c t.7ose)(i.5) cos e-(z)(i.7oss)(,4 36za) sne

~

~

4(2)C bs)(t.36za) sne ces6 de s

Tit.

{Pr,, 0 0 2. \\ 2. + o. 0 5 8 8 +

, 2 90 98 -r 2 2 5 (d + CO*[S)

O

+ G.es 12.) (g Co S Z8 ) -5. it 14 cos e - 4 6M4 Sir e

+ 4. o g s 4 sin zo ' d e

2. -

l

NUS

"";n'l,=.

CORPORATION DATE O

CL!ENT cPCo-BRP FILE NO. 514 8 - F A-o 6 sy MKP NRC 3+ ems checked By ML' SUBJECT

\\

= (.f- )

o.osco + ' z 9o98 e + 2. 2s e 4 2 2s sin 2,3 Er 2.

4

+ i 857 2 e t 65T 2. Sin 2G - 5'. U 74 5ine 2.

4

+ L 6 4 8 4 cos e -}. 4 08 8 4 cos ze ' "

  • 4

-o

  • P

+ (2 9098)({ ) + (l 425)( }) + (o) 0 08 E

+ (.6 92 65) C [ ) - o -

5' 1174 + 4. G494 (-l) 4 o88 4. c._i < ) ;

= o.Is M P/ u 4

l P [(o 1539/ez) +(L, + o 9eos Lz)/eA)

^1=

i 3 = g lio. is39/ u.) + (Lz. + o.9085 Li ) /EA

~

l 4

Tne displacc rne nls A, ond A ctre given, by g

4 Ac - cocEcienh cy (c(34T - #c ATc) a=Li i

3 hvenal expansien fu sfed l

^ a = l-z. (Ws aTs-de 4Tc) liner and cercvele-67,, 4T. - u nij oven increosc l

in %{. of \\incrord Centreie 6

Fev 4he lin<t E=

z7 9 x to p3t l

= { /12 ) (3/l6 )

= 5. A9 52 x(c i//in A =.

o t 675 in /in.

E!= 4 532G y 10 in Ib /in.

Page N of 55 07/14-)Bo COFFORATION DATE 514 8-FA-os _ sy Me CUENT IPfo - SPP FILE NO b-SUBJECT K1RC I4 ems Checked By 0

EA= 5 2313 7,10 lb/in

-6 ds: Gef. of hem e%hnsion of lin(T= Cl 25 y,to in/in / *F ke: CCC3. C[ dh&rMO 6KhanSi Cn of CoACTchC

-6 5 5 xto in/in / op

=

oT = 4em). incteose of hner = Go*F 3

4 Tc = m<on 4ernk increc<se of concrete vosdts fev 31es of d&rennt 4 hie.kncss and par below sieb 4bicknes # 24 42 45 38 48 52 3 5666 6./4 59 11 6(

Temp. Inc vease 56 48 47 45 44 42.

39 38 37 56 54 yrneon-,o ) 's bendirg rnornenks cd c, j o nd g drc cpvc r Tnc by Me, =. P (-t.7os a + b 5 Cesj * (. 3 6 28 sin { }

o.3\\85 P

=

l M = P (-l.1056 + b 5 ) + P (-l.70 58 + b 3 6 ?_8) f i

z

-0 2c56 h

-C 343 h

==

l y

= - c. 34 3 P - o. 2o 56 Pz g

tNUS 07 bd f U DATE CORPORATION CPCo-PRP FILE NO. 51 A B - F A - o d By MU CLIENT SUBJECT NRC T+e m5 Checked By Mb

%e ky bical yield 54Yess for %e liner moIevid is 3f4co Est..

Plastic rnemend fot 4 in, wide s4 rip of 4he lin er is Cy l*

(B740cXo.1815[

- = S Z 8. f_ in 15 /ir; Mp =

_=

4 4-to.lcWolid Ee

. Values of P, M e, M 4 ond Mg using o

Fo-y 4 von Program Abow 4 hat %c lovgest a

plashc hng e ep\\s Mp mornen4

'ss Me.

When Me will be foymcd and 4ht in.fe of increase of P wi+h a decreases. L Apf ern

-red uce s 40 o mcchonism w her.

ove fot mc d el j ond g and any fvvihrv bioshe

hinges,

' ncrmse in a will nei

-r<su.1+, any rnere, in on incve.dc i

Ayi c.\\

in P.

Iht5 kimikT'no VakME of P is USEd

[oy iht k f nsilC force in ihe. concyc4c and added 4o 4he canalSorcc due 40 dead weight orc 3 4kymal icadinp - Tne momen4 and 4 Lear co.bocities a-ve co]eulated usirg +hs tro!

value.

of 4hc axial forcc.

V2tc 4,h ow eu Mmchve Tnc 4kc hhcc on &c v.cy't

tNUS DATE _O 7 / I7!83 CORPORATION CLIENT CDCo - RRP FILE NO. 5148-F A -o 6 BY MKP SUBJECT NRC IYE M6 Checked By

~'

ad k l=. ding akt a plastic Winy is developed a c.

p

?

q calTIGP r

b

/

k

/

'c 1

d 6

c) a c.i7is p 4

A 8

('sce p) cg

,o.ess3 1

0'4142

~

f>b

  • =!

f.

,/

A~

. c.sess

  • g 7

0 1716 (c)

T C alTI6 Tnc veockcc R s's give n by 5!jr/d.s R.

55 I7 of P:ga o?l\\7I*"*o, DATE COF-6 CRATON 5148-F A -0 6 MKP CLIENT CPCO - BRP FILE NO.

sy SUBJECT MRc I4 erns Checked By M L-For C.b)

Reoclions cyc :

Y+Yg=P d

Fev.se.gmmt bfe.

Me=a Me =--P ((.5) Ct- 0 70TI) +(h )(l 5)(4 7071) = o b

%g = h = 0. \\T\\(o P g

For segmen4 egd :

M,=o e

(V )(.11071) +(V )(01010 =(+ c tTtG)(o.1920 P d

g Vd + o. 4142 vg = + o.029 AP P

Vd+

Vg :

g= IGE 68P Y * ~ #' 0506 P and V

d For (c)

Reac4 ions ow:

(R - 0 19e=o for Mc (t) (o.7011) =(h,)(.t 70Tl) ov h *- O' #I#1 6

Yg = - c.59 5 5 Mc = o icf Cgd :

V tV = 0 d

g yd

  • Ol42 Yg = (+

56 5E)(c.7.9 zo.)

Vd = +c ITi6 Vg= - o.1716

P;ga l$ of 07/17/83 ccr+osanON DATE CLIENT CPCO-BR P FILE NO. 5 I A8 -F A -O 6 BY ME SUBJECT MRC I4er/is Checked By M

Bending moutent M is jov gb Bencling ynomm) vn is joy Tcg. c Region M

m 60 o - i*(1 6 P x

- o anaz. x (ovigin b) c.9 o 17t6 P O.5) (.I+ sine)

( - o Ai42 ) (15){ t + se r 9)

.covigin.y)

- P Ci - ces e)ct.5)

+ co c<.s> c. sin e) cg

(+a. essa) cr.s)(sc n e) p

(- e.rr(6)(<.s sc n e)

(evig.ng) + (- o.assa) O s)( uscne)e

(+ o. n t G) c 4. s) o + s cv.s)

+ (- e. IT \\ 6 )(t. s) 0 - cose) P

- (o s s se) (.t.53 0 -cos e) gcl

- c. ssesp x

+ o. ms x (dr.gb. d) l o.m6 Pz,

(4. - o. 4i 41 x (M)

=

04, = (. 1-2426 + o. 2s74 sene, (q = _ c. 5zi3 + o.g333 scns l

3

+ i.s cos e) e yc l

- t. u.as e s scne g

_ e. c 2. s o. s m ces e (g$

=

+ o.Es74 CoS B l

(Mp =

- o. ss c e Pz (rn)p=

+ o 1716 x.

NUS

" "JEs DATE j

N TIO N KdKP SIAA-FA-od BY CPCO - BRP FILE N.O CLIENT NEC IE GFAS Checked By

/d b SUBJECT (M rn)

- c. 071l P oc

=

by

+ o.7110 - 4 25(8 sin 8 + o. 22 G 2. Sn*e (M m)

=

- o. CtB?.o Ces e

+ t.S\\ Bi Sins cose

-t o.772o 4 A. Stat sin 6 Cos6 - o 'Ci32 0 Sin s (M ro)'8

=

+ o. 2 2 Gz Cos*e - 4 25 l 8 cos e z

- o. \\12. l P X.

(M m)jd 1.s

i. y i.s

- o.om

) (Mro) d6

- o,o tll P[ dx =

=

o o

65 o

0

= -o. o 8co P t.5 t.5

\\.5 f(.Mm)d d5 =

- c, ti2 T P ddot =- - C ' 1127 P :C 2

a o

e c,

= - c. I2.G 6 P 1/4 Mm)g d s._ y r. r r zo e + i.2.sta cose +(g)(0.z2cz)(s *;26) o

- c. o.szo sin e i.316i ces ze 'l+

z 2.

_ o

=(0 6 0 6 3 - 0 3 666 + 0 0 S ?_3 - o. G59 0 t 0,3 7,q g ) p = - o. 057_: T

tNUS Oll 1 CORPORATION DATE i

CLIENT CPCO - DEE FILE NO. 5148-F A- 06 sy WP SUBJECT NRC 1&ern4

~c Cnecueo ey T/4

[(Mm) d3 = j y o.1120 + 1.sisi sin ze

~

- c.9320 sin e 0

t

+ (0 2 2 62.) ( { + C*S EO ) - b l5 tS Cos e 3 de

=P 0 7720 0 -

1 3(84 c s 20 9 e.q 3zo cose z

z

+ (4)(o.zzsz)(e + Sin 18 ) - t.2s ts sine }

2.

o

= P [o 6eG3 + o.az9s -o.za30 + o.0886 + o oS66

- o. es'st

- o. oT ro P

=

$ m m a s =. - c. 34.is e i.s c.s 3 I

$(r/-)H ds = fc. i7is x dx o.171G 2

= c.1950

=

__.s

'o e

4.5 f(#)

ds = j Co.mG) dd I.=

0 oz 143

'(.5 0

= o o 33 5 gd e

g o

Tl+

[ (.d) ds= j c.ss6o - 1.o949 sin e + ( )(o.nz0(t-con 0_lde I

h.

Els

= [o. 3 a 60 e + t. o 919 ces e + ( ) (o.T7 2 0 e -(i)(0 't720 @@..

)

c

= o.s o s a. - c. ai 9 6 + o. 3 o s a. - e.193 o = o. o 9 5 6

~ tNUS

'""' ll %3 c

NmN DATE CLIENT c.Pco-BRP sitEno.sm8-FA-o6 MKP By SUBJECT h1EC Ik f M6 Checked By

/d C Tla 3(m*)

d' '.I 7_.o.3 s 6o - s.o 919 co3 e +(e.uz o q, os ze) 3,

~

,g L

o o.586o & - l o919 Sin,0 + ( )(0.n 2t) 0

=

+( )(o.Ttz0(Sin 26)1*/+

1 lo o.3 0 3 2 - 0 77 21 + o. S o32. + o.19 3o = _o. o zy

=

[ WE d 5 =

0 3470 R=+

3413 P/o.s47o =

+ o.qs3s y h"

O*IllG Y -(0 4142)(0 9635) P = - c. 255$ P b

% =- E b=

o. 9 6 35 P y

g = ( L G 5 6 6 -(o,17)G) (c. 9 635)) T' =. + t. 4 t3 o P V

d= _- o.486o P V

bd = -0 7477 F b'I M

- o 2 3 5 S P 1.

=

__o,255o r

=

g' DP

7NUS

'"l)1 CORPORATION DATE e CLIENT CPCO-BRP FILE NO 5148-FA-o6 MKP sy SUBJECT hlRC - 3htM6 Checked By M'

M

--o.2358P(4 5)(n+ sins) + o.983sP (4 5) sina C$

- 5 O s) c.i-ces e)

= (,- L B 5ST + t. tz% sin e + t.s cos e) P

- o' 48So P C4 5) C t + sin 9) + (. 485o P U.5) sin.e M

=

-(o.74'11 P) ((.5) { l -Co 5 6)

. (~ t. 8sa7 + 4 5 sin e + t. \\ z% cess) P M J

- 0 4 8 6 P X-

. l.5

<.s 1jM S ds

=

EI j (c.2 ss e) :c d1 +

(04688 N A f-2 EI BP c

TI/+

t

+ {

(- 1 653T + t. iz iG Sin O + 4 5c.es s) 0.s) a s o

T/4 2

j

(-t.Bs 37 + t. tz tG Cos s + b 5 5' ^ G) O'3) d 9

+

e t.5

(.G 1

\\

  • O'2381 c.os56

=

E I '-

3 0

'o

'lI/4

(, 3. 4 3 6 Z + b 2.580 ( k -y Ces 26) + 2 25 (y 4j ces 29) 0

- 4 15 62 Si n G - 5. 5 6 ( i cess + 3 3 646 G 2 9/a) L5 d6

NUS

;;1 DATE COFe C) RATION CLIENT CPCO~ bRP FILE NO. Sta.8-F A - olo By M KP SUBJECT tlRC Idem 6 Checked By N'

j /4 (s.436z + t.zsso (4 + g cosze) + 2 2s(- g cs 29)

T s

+

0

- 4. is e>2 cos e - s.ssit sine + 3 3 6 48 sin le ) (.s a e

~

"/4 1

o.a e z e + 0.z. e 9 + cz) ci.s)c3,4 35ze)

=

Eli T/4

+ (z)(t.5)ci.zseo)(g)(e)s,

+ (zX<.s) (2.zs)( )(e> %

O

+ (4 5Xol. Tt 9 3 sine + cl.m3 ces s} } *I4 l

- (l 5)(23(3 3645)(

)(g) ce32g {o/4 '

1 c. oG z G + o. z G79 +. 8. o % 4. + 4. I518

=

EI l

- 14. SPt o + z.. s z36

0. 5043 P /E.1

~

=.

P

'5 43 L

+ 0 7417 L2 t

a,=

g

+

EI EA

'$ 4 4 2"

?

  • 14'II L + L 2 2

+

i EI EA Mg =

(- o. 2 3 s e x <. s) (P, ) - (,e. 4 s se x t. s ) P

= - 0 3 53 T P, - O. 7 3 2.o P7

tNUS

~"ln%

c, CORPORATION DATE CLIENT C.PCO - BR P FILE NO. 514R - FA - o lo M KP By SUBJECT NRC T4 ems Checked By fd L g =

- 0 13 ?J P i - c. 35.S7 Pg M

Tnt, Yveccdutc fev calculakr.g %c o.%ioi fatte m 4he

\\in<v \\s as 8o\\\\ows:

(O Fot each woll of differeni %ickness

&c OStai lead P', al which %c plas4(c hingt a

a.

c is dtyclopcd, is calculohcd

's roodified 4c include o.

Oi)

Ync 44 vuclavt i

>\\adic hingc d c and additional load P,

at wh;ch 4hc blo.sti c hinges qvc dcvef c, ped al f ond g, ts co)culeded.

UiO Wi4h 4hvec plastic hinges at 6,c andg ibe 6fvuckutc becorms a

roe chonBm and no incytasc is %e axial forcc is po ssib\\c.

Tnc h40.1 o.xio.l fovec P =. P' + P "

2.5, 55 Pcg?

o 07]2 O!bO DATE CORPORATION CLIENT CPCO ~ ORP FILE NO. 5t 4.8-FA -o/o By uxP N RC - Ite rn s Checked By Nb SUBJECT

%e. liner dovces cojculated are Gs 8clicW5 :

Wovii.onfal force Yevkco.1 force Wesk and t o.te lbs/in to38 \\bs/in E ost Walls Wor 4h and loss lbs/in (oBolbs/in Sa'Ab Wolls Pool Floor M -:5 Foyce E-W Force.

clso Ibs/in 99 T lbs/in

=

=

All forces o.-re.

In 4ension.

Le hafe47 mo.r gins co\\culoded inciuchrg 4hc liner fevees o,-re Ahown on 4he fables in fhc.

feitowing gteottr een 4, o in pages-The J5heo.y margins ave ate less 4 hor (c

< very case.. The.

moment movgins for onl Aix ed of fbe.

Sze eleme n45 Lesc avc:

y Wov+h Wall Elemenk (8 :

Mayjin for M $ =

0 95 Scukh wall Et ernent 17:

MoV%in lov N:r = - o 19 25:

Movtin for N :t =

0 77 M*

'90 Guth Wo.ll Elevnenf 43: MGY%ind'Y Y

44 : Margin for My=

0%

A5:

Movgin 3-ov My=

o.9s

EP

!! T Leos 4 Mavp'n lov 4he, kool slabs (Wilh liner fottes) n Z n O

O 8

Be.nding Bending Local Average.

Ave g e tevelop-g y

Mornent Moment Sheat Shear sheat

- ment

$ qP Mx My Fovce Vx Vy lenq%

Wesk Wall

(.\\B t.1B 5 21 4 13 3-22 0,79 m

North Wall

(.57 o.95

2. 87 2.5a z.o4 1.32 y

o East Wall

(-0 5 i.73-

3. rog 2.T8 3 22 o.77 m

sotAth Wall o.1T o-18 3 45 3.o3 2N I,op m

Poo\\ Floor

1. z3
a. o f.

3 oz 3 14 24o I,o I y

o

  • Le least margin is lov element 25. he elewnl 17 Will Ioil Combletel -

f EE

$A E

g N

3 q

.wa 9*

D I

E 9 r

g

Pw T cf SS 07,!23/b3 DATE dPCO-BRP FILE No BI A8-FA -0 6 ey M KP CLIENT w Rc.

14eM6 Checked By M L-SUBJECT Sheo.y Mowsins du tfv14 he.

Heansienf (Wi% lin<r foru:)

~

Wes4 Wall I M "

55 Bo too

( 2.o (so 485 (Hout)

Local sh eo.t

2. 2. 6 2 36 3 00 5 08 3 14 3 22 Force Avg.

shear z.sq 3.qq 3 93 4.oz 4 07

4. t3 vs Avg.

shear 2 68 2 56

2. 96 3.os 3 12.

S z z.

vy WORTH WALL-I *

  • 55 60 too

( 2.o (so

<ss (Houw)

Local sheat 3 23 2 13 2 oq 3.oq 3.oS 2.87 Force

. Avg.

shear 2 E> S Z oi 2 08 Z.. G7

2. 60 z.5z y,

Avg.

2.. e4 sheat 4 66 b 93

(.95 2.ci 1 01 Vy e

I

l 15NUS

~#?"

DAfE '07[25/E3 NM CLIENT CPCO-B RP FILE NO SI AB-F A-of gy MKP SUBJECT KlRC Ttem5 Checked By_

ML Eas4 wall IiM" 55 Bo too

( 2.o (so 485 (Hou.%)

L o C.o.l l

sheat 2 40 2 50 3.Go 3.61 3 12.

3 68 Force.

l Av g.

l shear

2. 14 2..o6 Z.66
2. 8(o E BI Z*18 V,

Avg.

shco.e 2 54 3 08

3. 4 L 3 33 3 2T 3 22.

Vy s u4h Woll IiM" 55 Bo too

( 2.o (so 435 i

(Hou.t)

I l

Local l

shear 1.15 3 73 3.65 3 53 3 48 3 4=r Force.

1 Avg.

shear 2 73 3.to 3 09 z.M 2 9T 3 oS Vx i

Avg.

shco.t 1 78 2 2.L 2.Zo 2 17 2,17

2. toi l

Vy

-tNUS 6I!28fb5 DATE NTION CLIENT CPCO-BRP ritsuo 5148-FA-o6 sy MKP SUBJECT NRc T+eM6 Checked By f7L Peet Floor Time es go too

<2.o

<so

<ss (Hov.5)

L o co.1 sh eo.t 3.\\7 3,43 S.21

3. ll.

3.o2.

3 02.

Force Avg.

Shear 4.oq 3 24

'S.15_

3.to 3.M 3 14 v,

Avg.

2 40 2 45 2 42.

2 33 2 39 shcAt 22.6 YY Tne roavgas for local and Otverage Ahear hyces 1

Ao hees info the fvansien4 o.vc given in 4he Table bekvt.

i West N ov+h Eae south Peel wa))

WoV-Wo))

wa))

Flocy 1

Loco.)

l shear 2.64 2 38 2.46 2 23 3 40 Force.

l Avg.

shear 32.3 3 09 2 63 3.(G 3,q Avg.

shecer 3 16

2. lofo 2 60 12o 2 46 Y

l

EO U

of P ge 07!20!O3 NTIC)N DATE 514 8-F A -ofo MKP CLIENT CPCo-BRP FILE NO.

By SUBJECT NRC. Ilems Checked By uL Tne margins of Aafety of less 4han t.o calcu\\aled fev 4hese. elements indica}e 4hal in ihese -regions 4he voci dochuc Aufets lavge defotmalions-h nega:Wve vduc shown lov element 17 is due fo large oxial tension and mornent a>Piied in 4 bis te.gion due to 4he 4hevmW load. The vesults of 4be ondysis indicate 4hai 4he ricufral osis will 4 heave 4icolly go beyond %

comEvession edge of concreke. In teality before 4 bis happens 3 Aovnc \\eca) crushing of 4he concrete. cecuts in -this vegicn.

Vlowever, if 4he. tegions 6uvrounding 4hese weak \\ccodions hoyc.

adejuoIe Copacity 4o o.bsorb 4he additional bending rnoreeds l

dvan58eved 4e 4hern, ct tedislyi.buflen of bending rnemen}s fokes piace o.nd 4here Wi\\l be no domoge to 4he MYUChuVd In $he vegions Where deme local Crushing o$ c.ornpve6Sion concTde occu.Ts -fhe flainle.ss Sie el liney Will hvevent any leakoge of 9e 44eved Walet. 'The abili4y of the peel Myuc u-re to absemb 4he 4hvec wcak bc4 the additional bending momcnis near vegions is e x amined in 4he followint Voges-

Page b of 55 O7f 28/63 DATE CORPORATION CLIENT CPCo-BRP FILE NO. 5 t 4 A - F A - 06 sy MKP SUBJECT MRc I be MS Checked By

. South Wall Elemen}s IT Ond 25 :

= sowe Wall East Wall

=

Et. 7 El. 8 E l.1 El. 2 unct.

Uncr.

Uncy.

uncy, El. s El'.16 EL 9 El. (O Uncy.

Unce.

8 22' unct.

EL 23 El. 2 4 El.17 El.18 El. R Uncv.

2.2 Aef

_. e, g9 't I. 2.3" Uncr.

EL. El EI. 3 2 El. 2.5 Ef. ZG El. 2[

U ncy.

Uncr.

o.17 '

Mocv.

Uncr.

El.39 El 40 El.33 El. 3 4 Unct.

Uncr.

( 95

  • Uncr.

El 48 El. 4(

EL 42

< U nct.

(.96*

U nc.r.

t set discussion an ) ge So.

calcai afed moment vnargins for elements 4hol ove cockd.

5 Tne elements 4atrounding 4he sov4h wal) elemeds

\\7 and 2'5.,

fCY WhiCb kbe da1C.M\\Oed MC T f n\\ M O Y hf are less 4han

4. o f

'ei4het have Io.vge. memeni movgMs if 4 hey ate cracked e r %mcnn u n cvach d. The.s c.

teserve cobach io e.lemm\\s, krefeve, have. odegaa4e.

v J

EE East Edge 8

Eg 7t o

p p

g g -.

n p_

El.4a E1. 41 El. 33 s

y 7

T

$ j

[

s. sa*

t.e4 "

unct.

1 5

N 9

o i

l g_

g "a

E l. 50 El. 42 El.34 2

fd tu g

  • =

b 4

+

Uncr.

(. 2.ol '

Uncy.

n 54 9

3 d

}

o g

n_

1 N

h 3

El.59 E t. 51 el. 43 El.35 El.27 a

3 E

?

Unc$

u ncr.

o. 9o" Lincr.

u nct.

g A

g 4

El.Go El.52 El.44 El.36 E( 28 h

h 3

9 Top 7

o c$

un ct.

Llocr.

0 18' U nct.

Uncr.

f y

F El. 61 Et.53 El. 45 El.37 El. 29 e

k h

h

[

[h f

i onct.

unct.

o 9s"

2. 84*

uncy.

~

S p

El.54 El, 46 El. 38 o-A 4

0-g 8

Uncr.

i.40'

?_. 31 h

5 o

3 3

o cn a

m

x-E El.ss El. 4 f El 39 9

j-cb

g tn DL
4. 28" t e>T
  • 3 97*

S 0

N 3

7 0_.-

-o d s.

j E1.56 El.48 E1.40 N

3 m

n

+

3 f

g I

a.3z 2 o3' unct.

g-w Wes!

Edge

P;gabb of 07,/2.6[6B CORPORATON DATE CLIENT C.P C O - B R P FILE NO. O 46 -F A - 0 6 By MKP SUBJECT NEG NfM6 Checked By

%e elemends Au. wounding 4bese elements cve eRher uncracked or if cracked have hdejuate momenk mugiw-Eey ho.ve, -lh<.refore, <:1d&cient merve capacity to abovb ony addihonal mornent bnsferr.d to 4 hem by We seuk yvall elements 43 44 and 4-5 7

Klorth Wall Eleme nf 18:

_a_

[ f 2

6 s6 2

6 u 's e

s c

e e

3 a$ =0 a e

d 9

a c

c a

c 2

a ya ta wa da

  • O w

a aw l

I 2

B *m 3

  • o sk N'e $k l 'O e

m 31 b

-o O-o 1

p g

6 %2 g4 f4 d4 d4 j

]

4 3

$# 3(

Eg 0

f, N

6 5

6 6

6 N

S a

c

a a

p 4

r a

c 4

e c

2 c

a w

wa w

3 ut a ni a e a w a w

Et hWO

-TO WS Gdj ac end ho 06 "t*C W Ccnf ai nin g elements IT 4o

2. 4.

te rnoin uncracked.

ExceH f ev Yhe

Peggb d of 07,[Z 6[83 COFFORATION OATE CLIENT CPCO - B RP FILE NO. S I48-FA-o fo By MKP SUBJECT MRC 'IkfMs Checked By

.4afely roarg:n os elemen4 48 in -lhis vow, which has a

e.95, all o+her elements have adquode margins of 4afety.

%e moments will be dis 4yibuted 4e +h es e adjeceni elemeds wi% oat any 4eviews conseguence.

In addition

%e makernalical mede) of h 3

liner used 40 calcul ale 4he linet }xes is vevy tegid and 4he joyces ta\\calaled ove (7aile.

conserva4ive-Ii is tigidiy Av.ppoyled at h

assumed 4 hat 4he liner is hints f ond g rne e.uyved and -liat Aeg enenfs of 4be

\\iner ave not bhysically abbed to each obv at these points by Weiding et any c4 bey means. PoyWcdody oh.4he.cotneva neve will be a

Amall gap bet ween 4he concvete avvf ace and 4be liner-If4his go) is nd closed dvWng 4be 4bevmol deforma4 ton of 4be lincy

-fbe points f and g will not be vt g id ly 4 v.b bor f e el Os assume d in h enedel. A more occu. tate, vnedel is ahown in l

l

Paged of 59 DATE _ 07,/ 2 2. / 8 3 CORFORATION CLIENT CPCO-BRE FILE NO. 514.6-FA-o 6 BY M E'E SUBJECT MRC IhCMS Checked By ML 4be skefeb 1and 4he. enalysis tsdescdbcd in 4be following -

considev dis h!acemen}

A-Releue horie.onbl i

displac.e ment af b and op>ly a l.c a d ?g in 4he ditecNon of at 9

x k

Le veac4 tons ave Gs gg p,

Shown.

T6e force P.

4 f

R O

CalctAIched hYorn d9 bu ds e

_ Rd = P, y'

  • 0 d

1 g

E

" v"P W herc U is ne 4ctol d

6f roin energy due to bending defovmdien of cuvved linet and oeiol de lovmdien of 44vaigh4 lintr-M d5 U=

+ ( p ds J

zer J 2EA l

a, -

M D3 ds + _L } P ds EI BP EA i

g, con o g ;n M

h/bP; ds livnits b+

b

+ :c dv.

e 4015

, gg fg f

P (ts)d4 sin s) 0 s)(sino+Cose) 1sde

& = o M/2.

-P C 5Xt-Cose) gd j

p, (i.s _x) is-x.

dx.

o h t.5 I

~~ ENUS

""f4g CORPORATION DATE CLIENT CPCo-BR P FILE NO. Et M - FA -o 6 sy uxP SUBJECT NRC Items Checked By Mb M

d5 3

TIF-i, s P (b5f($n 0 + Cos e) d e j

Pe d:x

+

=

O 15 P, (t. s - x.)

d E -

+

O t.s Ilz b5 1

+ J (1.5) ( \\ + Si.n1G) de: (4 5 -x.-

a f

=

EI S

l

+

L o

o 3

T/2.

b 412.5 + (3.B T5) (9 b 5

+

t. t 2 5

=

El L o

2 25 + 3*3 5 E (3,a75)

-g)

=

(092G4 h

=.

El P ds -

P'

( L, + L,)

i EA EA P,(to.uG4.

(L + Lzy A,=

i EL EA J

xto' ksL.Fe a

iinch vdc!c Fev k lincy E=

27 9

P:g:b of 66 07,! 22 ! bb CORPORATION CATE CLIENT OO* NP FILE NO. 5M -FA-06 sy w SUBJECT MRc T4 e m $

Checked ey ML I= (ya)(t)(k)3

-4 5 4932 Mo in /in.

6f 4be linet

=.

EI. = (27 9 s i o')( s. 44 B2 MOD 4

2

= t 532G x to in -b /in E A = (k )(27 9 xto') = 5 2313 x to b/in, ATg Incycase in 4emp.

  • Bo*F (linef) ate = incveose in f e m).

in corcyck

= 34 F Uavnollest value assuvncd)

o. 4.zs aTs

=

(i) Horizonte.1 Fevce. in b IIner:

11 CN 8e5 Wo ll5) = 312 / 2 =. 15 (o in.

L

( E de W Walg) = 24c/ z = 12e in.

2

-6

-6 d i =.

(9 25 Alo

- 5 5 x to y o.425)(iS6 ) AT3

-3 bO763 x to ATs in.

l

=.

-6

-6 4 z '- (9 25 W10 - 5 5 y 10 y. o. 42.5)(12.0) AT,

-3 0 BE95 x to AT in.

=

3 10 9 2.G4 15 G + L 2 o

~

t 5

1 5326 xio4 6

5 2 3 i 3 g i o

_l a

Q = 1306 A CY s

scrnilarly, g = tso6 4 2

Pigb of 55 b7,! ? 2 /b 3 CCRPORATION DATE 3l4 - FA -o 6 By &

IICM ~ ENE CLIENT FILE NO.

SUBJECT NRC Ifems N b' Checked By To4al fovce

?= P, + Pz = 13e6 (4 +A g)

P= CisoGTO o7e3 + o aws) Os3) ATs ov P=

2 49 Vo AT lb 3

Bending Momenf d 0 = Mc (P)(4 5 + 4 5 sin { ) -(P)O 5 - t.5 casj)

M=c

(.P) O 5)(sin

+ Cos [) = 2.. \\z 13 P in _b s 2.s54 AT, in-lb /in.

Mc

=

1 Tec Yield SIven p h of 4be lincy 3 troo bei Plas4ic M o rn e r.S M>=

1 4

= (374oo)(o tsis)*

32874 m lb /in.

=

4 i

The f emb evo.rv.vc incycisc d which &c blastic kingc is fevmcd =

328 7) /5 654= 6219 F

l E

axial -fovcc E cc-vwsycndin.g 4c &is dern).

l incteose is P = (2 49 t(o) ( 62 M) =

155 lbs /in l

=::==.

l l

P g339 of 06 07,/22.f63 DATE CX.a-o ORATION 5\\A8-FA-o(D BY MEE CLIENT CPCO ~ ORP FILE NO SUBJECT NRc dems Checked By

/'-l L -

00 Wylical Fovce. in 4hc E&W Walls and Ew Fevec in 4hc bloov:

L (E4W Wolls) = 312 in.

i

(, Pool floot) =

156 in.

L 2

-B 4, = (9 25 - 5 5 x. 425)((0~6)(312) AT = 2. 57 45 x Io AT in-3 3

~6

-b 42: C9 25 -5 5 x* 425)( to )(156) ATs = 1. O T8 4 x!o aT3 in-P = (13o6)( 3.ro498)((o-3) AT 4.T 666 ATs ib /in.

=

3 Io.o uz AT in-t> /in -

i M = (2. ize)(4. rses) AT c

3 3

ATs 4o form blaskc hingc. o4 c 3 2.s.7/ to, oaz =. 32 5(

F F ( AT = 32. st F) = (4..TG66 )(3 2 50 3

tss Ib/in.

=

Similorly, 4he Verkcal 8orce. in 4he N&5 Wolls 0.nd 4hc Hs force in +he floor = lss_ (b/in.

l L -lronsverse de-flection o+

f and g is now 1

Co.IctA\\ oded to dehevmine if t'ne 0,55urnhdion of no supped be jusfified.

at 4hese localiens con l

l

Pzga of 07 [22.[83 CORPORAilON DATE CLIENT CPco-BRP FILE NO_ 5148-FA - o 6 gy MKP MRC. "Ihm4 Checked By ML SUBJECT i

$b a

o.s 3

\\

=

t0 e

)

C W o5 1

g l

bending momeds, rn, ove Fev o

uni 4 lood ad.f 4be l

6f

~0 5 =C fg *

(-o 5) (b5)('t+ sine) +(< o)(t.5) sine

- e.M Ct-Sins) gd :

o t.s l

j M rn ds = [ (Px)(-o 50 dx 0

T[2

+ j o.s e) (sin e +cose) (-o Ts)Ci-sine) Ct 5) de i

T/2.

i, g

= (- o sP)(()

- j (<- cs75 P)(sine + cose -sin 0-sin ze)d e 2

l

'O c

1/2

= -o 56z5 F-(( GS15T) { (sing + cose - k + D52e _ s,n 29) de i

o

.T/2.

I

= -o 5G25 P- (I 6 B15 P) - cose + sin e S + Sin 2e, ces Ze j 2

4 4

o

\\

l

pig?

of O7,22/&3 DATE CORPOi-iATION CLIENT C PCo-BR P FILE NO. csto.8 -FA- 06 gy u@

NEC I S~f M S Checked By NL SUBJECT

= - o. s s zs P - 1.Gs,s e }- Co - 0 + (i-o) 3 +.!.(o _o) 41 (_4_g)]

4-4 4

=-i.7684P 8 _-

(l TG84. )((ss')

o. o tS In.

+

llg s in.

t 532G k(04 T,e line.t is to blaced 4hol 4he.

maximum pp be4 ween +he conctele and 4be linet does not exceed Y2. inch. hvef ove,

parieculovly el 4be Coynets, i+ is reasonable 4e assu me

%1 gds of al least

%2in.

Fo b in. ecsts. 4130, +be 4wo knet blo.fes

( 4he flod and cwved) c.ve not physicolly or c4ber me.ons. Fev +hc connec4ed od 8 and g by We. ids magni 4ade of de fleckon 4ha4 occu.ts o.4 3 and g it is Au.ppeds a4 4hese lo co.kcns.

-reasonable 4e Qssume no h refore, 4he moclel just desc+ibed is cicset to 4he ocbal Xilua4 ion and the eoci tiev rnodei Wh4 is Vevy least

% moment margins boud 4Wff is vevy conservolive.

/

on thc liner iccd of 155 lb/in.

are b-resenicd i n +bc 4he neA page To.6le on

0 7_/ 7 /83 DATE ysvrSED 8 /1/23 c.Pco-BRP ret.e No 3.L4_B - FA-o6 sy M

cogni suaxcTJRc T4eM5 checked av M L.

$cm M OYgin Eiem Wygin Devely.

No.

Mx W

Len th 9

WesY Wall

'T 4 42.

44 2 19 g, g o

)

Nodh 5G 1 13 to tz.i wall

{

East 25 4 28 2.3 2 12.

1 07 Wall

+

e, Sodh 17 o.g[

44 4 07 r

I MI

<s 2.5 4 04, 43 i ' l9*

1. o(o A.

4 1

4s 4.zt l

0 bl 4.ot P

Tkor

    • Required le@ is cabiohd based on Lf.19 el Anotysis Rebeef Ieu
  • hse. o-re 4be elemenIs fe which h movgins 0.75 hon 40 base,d on hv1Nicus lin&T foYCe Calculohiov15 24 h

obsetved

%4 execki Jet element 17 of he Sou+b Wil al) the eleme.nis have movgins gtcoler bn

( 0-h momen) inavgins of fhe.

elem ents dut+'ounding 4kis elemed ate Abown on 4he nexF boge. he ele m ents if 4hty cwe ctacked b2ve a-n:

e;%er uncrocked et 4here jove, hov< odegate lorge Lafely morgcns.

'Ib:7, feserve co.bac4y to Osorb cany manent Ivansjev4a to 1

I PcgM of 07 [1b!83 DATE NmN CLIENT CPM-EbEP FILE NO._5 I A 6 -F A -o 6 By W NRC - lhevY)S Checked By SUBJECT l

h rn by 4hc elemmt 17 Eod WaII =

Sowkb Wall

=

Top El.1 El. 5 El. 4 EA 2 unct.

unct.

U ncf.

Uncy.

l El.15 El.IG El. 9 El. to Uncy.

Uncr.

9*13 Uncy.

E!. 23 El.74 El.17 El. (8 et.iq unct.

25.oq*

o.17 8 G4" 5

Uncr.

El. 34 El. 3Z El. zs El. EG El.27 Uncy.

Uncr.

(. 04" Umy.

Uncr.

El.39 El. 4o El 33 El.34 uncr.

unct.

z. is' uncy.

EL. 41 212' caicu\\aled momen4 magns for cracked elements.

+

a I of 55 P;g' 07/ 20b.h COFFORATION DATE CLIENT CPco-BRP FILE NO. 85 t 48 - FA - o6 sy M KP NRC-Items Checked By M ' l--

SUBJECT W

liner J ovce.

opplied

+o 4be. beel wds is of Auch nodute 4haf il

+ ends f o khsh o.pov4 frowi, exh c4bev b Poit of opposde wals.

I4 has 4he /2 cmc.

e. fed as 4be hydrostatic pressure ochg en 4he b o el w alL<-

brefove, 4be constvuction joivds be+ ween &c h=1 floov and 4he

'hoYkh dOSk GM

$cVkh Wa\\\\6 @MSk bC Cbfek 7

1 In

+he fobic brese n4ed on 4he next popc 4hc l

Ahear foces a4 4hc base of +he n ov4h east and 2

Eyesentes

%e ahear -}orce clue io LouAh w alls are l

hydtos f odic P-ressure are to. ken frorn 4hc resu.lis of ANSY5 dcad Icod anal sis o f t h e. hool Toc h'neY y

-fevces ca.lcuj oked as desctibed eovliev ate a\\so fiven. h consfvuction joints will be che cke d f ov h

4hecT forces due -fo dead load end liner doce-Tne.

crac k e d baffctn fo-v 4he 4hrec Wolk fer 4bc com bined dead and thctmal loach q Svesen4cd on 4hc neA few >qcs abow

+h at

%e MOY4hp tash

EE Ei T

0 Tronsve:Yse sheoer Fovce Vy of the l>ase of Wal\\s Ob/in.)

Q Z o

o Elemenf t4o-5 s v

~

57 56 59 6o 6\\

62 63 64 Z

llydtosf.

g zso 818 itto 1E40 l130 STo 5 04 l2.5 taso

\\o30

\\o30 103o

\\oso (03o to3a (o3o j

y T

134 1848 214 o 214o 216 o 1900 4534 i t s5 g

L "1

296 (o30 844 9 47 95o 853 64o 2.67 East Linev i 38 i

38 t o 36 to3g 4o3g 4o33 g o 3g togg o

Wall Load a

To+al I 3%

16 fo 8 l88z i985 1988 19 91 (GTS 53os Loac(

n

,o f

"YU 13 3 2.

9t8 11 3 o itto 904 GoS 18 3 w

L

\\ M

\\030 103o To3o toso lo3o io3o io3o io30 T*l uos.s is32 i948 zico z go e34 i coss 12.is r

't b imd s

b Piga of i

DATE o5/c7/Ba CORPORATION CLIENT ' CPCo - BRP FILE NO. Sag _FA. o G gy vgp MC hlRc, - Items Checked By SUBJECT

+

jL "g

N

^,8 4

?

d

~

oa n

u m

Toh an*

l lL L

j 1

l l zes"

~

^

^

+

27o-

=

9, r

a 2(s g

T i

e 10 (G 2" (06

--+y

[

s4" L

w Nove Wail - Ovocked Pohevn l

crocked caused by bending moment My cracks are pyy,g),( 4, x_,,t3 Ctocks caused by bending enernen+ Mx cvocks o:re taval\\el fo y-o.v is

1 P:g' M of DATE O 5/07/ B4 CORPORATION CLIENT ' CPco - BRp FILE NO. 3M EA- 00 BY MKP M'-

blRc, - 14evvM Checked By SUBJECT 1

o

~

N >,

8 h

~3

?

S

??

)

i l

I Top a

su "il,

! I' '!li !lbl i

!No i 1!!

1 ilt h

!, 11

330,

!I-l hl l j

i i

in I

zgg L

i, i i

z g yp 1

73g" 1

i i

_3 2tG "

3

'. i

l.

i i

l

.C

,g i.

i

+

g g

tsz" t.,

i 1.,:

m 2

lob" l l i r;

! ', ii!

54" 1!!j:i a ! s!

i

.lI i I

~c Eas4 Wall cracke.d PaBem

-i crocked caused by beneng moment My cracks o re p o w gl,( 4 x_oxis 7.

C w ks consed by bending moment Mx C.vocks..cere kollel. A x-ovis

Page$ of 55 L

.I_

o 5/c7/ BA DATE CORPORATION CLIENT CPG-BRP FILE NO EM EA - O b BY MKP MU NRc, - IhevvM Checked By SUBJECT

~

~

5 e

b m

"d t m

g g

g a

a m

m Top' su' j!!1ij i

l Wilii I

g y, t

q 2ee" r

i-j sa -

n.

S

.'.! j;..

I l

'l q

l 4

pg '4 n;

I li'

+

i i-i!D l 'I fl 1.

-lh; ;

(

g 's

,)

4;i

=

a J

3 j

jj 1

e

(

e I" i!

j

( $;

3 1-m y

l 3cg t' l! fqj il' u

l'!

i

.i gg

~

x SouFh wall - cracked Folk-vn

[

crocked caused by bending moment My cracks a-re Yavellel b x-ons

.]

Ctocks caused by bendin2 mom,.4 Mk si jdyatW} yo y jo,y_is CWh5 c:t c

d N of pig?

07[29!b3 DATE COFe ORATION CP eo - BR P FILE NO. M M -F A -od sy MiKP CLIENT NRC Nm6 Checked By SUBJECT a nd 4eu.4b Walls do nel etack due 4o ben cling mornent s M

o.))lfed 4e horitonfal cross seckom of y

h Wodls. %erc ove no hovisontol evacks dv.c to bend;rg ro o m ent My.

herefore, 4be.4 ensile 44vess in +be efec\\

(n

%ese tegions is very 4 mall. %e lo.vgest edreme f:bn hensile slye ss in he conevete cd 4be base of 4bc 4hree Walls and %e covrespending 4 ensile dress in -Pcx.

6 feel arc Qs follows :

l r

Wa!!

f,p (l=

(g:.g.2%g AvoitaWc. { =fy-fl N oyh

\\V 3 bi M5o psi 3135o Esi El. 57 E"5f 156 psi (45 o Esl B155o Esl El.64 166 4kst

\\545 psl 57455 psi So u%

EL.57

%e avakbie 44ress will be used to deferna ne

%e clarnhing

-force that con be d e velo >ed to -resisi ihe infer 3 ace A, heat od 4be joints.

1 1

1

P g* N of 3Y d7,!2'7l55 N TIO N DATE CLIENT C'NO~ W FILE NO. E t 4.8 - FA - 0 6_ sy

&T NRC - I N N7S Checked By M-SUBJECT i

From Eg.

11-2G of sec. hon it. T. 3 oj ACI Sit-Tl h

4heot 44veng%

Vn is p'ven by Nn = Avg f K y

of veinfocment 4wpp\\y s'ng h wherc A

is am yg clampig fovec, and

)). = t. o in 4his case (AcIS\\S-T7 se c4 ton l\\. 7. s) is 4hc coeJgicieni og fylclien at b inhvjace.

b 4heav Afreng4h V

is \\imited io %c.4moller n

of 4he. fellowi ng 4Wo values :

0 2 fc Ac =

Goo Ac e +- Sec Ac-levcfove, %e calcalohcl 4h ear 6treng h Will be limded do Goo A Wherc Ac is the wea of concvefe. secticn c3 tesisting 4 hear kvans fer.

Wer4h Wall:

Elemen} s Sh 55, 63 ond G4 Tec Vc yli c ol t-ci n force menk consds c{

t 7 6xts 12 in.

en cu4<-r j acc

= c. G ik /f(

i 2. id /f!

inne-e focc 5 ~T boys @

G in.

on

=

5 / of 56 Pago O7 /20, M OATE CORPORATION MKP CLIENT CPC0- ER*

FILE NO. 5( AB-F A - 06 By SUBJECT NRC, - Iterr.s Checked By M'L Tofo.\\ awa o f sf eel =.

o. G + t. 2 = \\.8 in? /ft.

Vn " U* 8 X 5 TS 5oXI 0) /lz

. 5 6 o 2. b/in 02 f e,! A c, = (Goo)(81)(1) =

486 colb /in.

Tr;ere f ove, Vn =

sGoz. \\b /in-Lagcst 4 hear force occu-c yov elemenf 38, Yu =

1846 lbs/in.

M a-rg in of

.hfe.tg = Co 85.X 56o2) /(6AS Z. 58

=-

1 i

Elernents 59, G o. G < o rd G z :

Vu =

2 2 4 o ib/in.

occuvs for Ilcrnc d s o.

Aveo cf shel :

2 l

4 7 cd 12. in.

ev4erfoc.c

= o G in /H 1

4 7 4 e c) oj 12 in.

innc y face

= o. G + t. o = t G i n'/a Toiol Ox:o of st ee) = 2 2 in?/R Vn - (2 2)( 3,350) 0.o) /i2 = s8 4T (b/in

<. cs sw is /in Vn 8647 \\b /in.

MGY2in O [

S a ff.d y = (

2 6Q

=

224o

PtgrSE of 55 f

O 7 / 29 /BB CORPORATION DATE CLIENT C Dco-BRP FILE NO. El A8-FA -06 BY M KP SUBJECT NRC

.I hems Checked By N

,Eo.d Well Ettments 57 fo 64:

Lavge34 Abedr

.fetce v

= 1966 lbs/in.

e e.cwrs u

sov eterned st.

Avea ot'.> teel-u, @

tz in.

en ovder f ace

= o. G in'/4 t 4 2 in'/fi 4T@

6 in.

en innev face

=

of steel = t 6 in'/ft.

To4al avea v = 0 s)(.3,ssc XO /i?_ =

5632 lb/in.

n b

0. ?_ fe' A c =

G oo) ( 78 ) ( () = 4.G Sco tb/ir.

'IEcyclott V

= SG32.

b/in.

n M org in of Safe 4y =. (0 85)(5632)[was z.41 l

%u4h Wall: Ele rnen4 s 57 a n el 58 15 3 2. Ib /ir.

80Y CIernen 58 Vy=

Ayca of ste el :

&7 0 12. in.

cuder face c G inf /H

=

2 2.o in. /f t

%9@6 in.

innct }acc

=

P g'b of N 07 /2.9 /g 3,

DATE CCRPORATION CLIENT C PCo - B R P FILE NO. Si A B - F A-o 6 BY MKI NRc - 14e MS Checked By SUBJECT TokAI GTCG ch Skee! = 2 6 in ((h Vn = (2 6)(31455Xt o)/12 =

e> (t 5 \\b /in i

< o. z fe Ac. = (Goo)(G9) = As4co Ib/in.

Vu = 8 15 lb /in.

8 ens) 4,gQ Movgin of safe 4y =

l ggg l

Elemen}s 59, Go cmd 6 < :

l

%ickness of 4he 4binne st element 61 = 52 125 in.

Lavgest WltAc of V = 2tGo lblin. lov ele merl c.

u Avco of s4 eel:

1 e

47 @ tz in.

cufer face

= o.G in.

l L

-t 11 @

6 in.

' nner f ace.

=. 3 12 in.

i 7

Total GTeo o f sk < el =

3.'1 2 in.

l Vn =

(3. tz) ( 37455 X t o)/t2 =

ll 6 ll lb /in.

< (s2.tz s) (Goo) = 31275 lb /in.

Vn =

116 ll 16 /in.

Margin of safely =.Co 65)(ll6 Il /2160 k 57_

=

P:gr of 07/19 / 60 DATE CORPORATION CLIENT dPco-BRP FILE NO. 514 6 - F A--O(o BY MKP NRC - Item.5 Checked By L

SUBJECT Elemenks 62, 63 and G4 ;

lhic.hW55 of 4hc 4hinnesi element = 42 in.

I argesI Vojue of Vg = M34 lb /in.

ley e.lem ent 62.

Arm of cle.t! :

W7@

ia in.

outer 4 ace

=. o.G in? /fi

+9@

G in-inner Jace = 20 in /ft To+ol

. steel om = z. G in.2 /St.

v - (z.6 )(3T4ss) Co/ iz -

an s ib/in.

n (600)( 42) =

252co Ib /in.

l hre-fon, Vn = Bit s Ib /in.

l of so.f e4 - (.0 85)(6113) 3 57.

=

l M ar cin 7

I C

C9 34)

Cl-YC dum rncrized below

%e l6,0St May] ins l

Wo.li Wey+h Eos4 Sou4b

    • 5f 2 58 2 4L 3 57 movgin InC.

YMOY WL owe abe Va ho hYoVC Oooh Ynt Ecci idegy4y Octoss 4hc WoS to floot foinhs is enointo:nd.

Also ne em6eerner4 teng+n of se in is adeguck 4o deuci p Sy.

.

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