ML20028G421

Forwards New & Revised Responses Re NRC Structural - Seismic Audit Findings on Cell Linear Analysis Discussed at 821221 Open Items Meeting

ML20028G421
Person / Time
Site:	Clinch River
Issue date:	02/04/1983
From:	Longenecker J ENERGY, DEPT. OF, CLINCH RIVER BREEDER REACTOR PLANT
To:	Grace J Office of Nuclear Reactor Regulation
References
HQ:S:83:211, NUDOCS 8302090326
Download: ML20028G421 (30)

Text

,

Department of Energy Washington, D.C. 20545 ,

l Docket No. 50-537 HQ:S:83:211 FEB 0 41983 -

Dr. J. Nelson Grace, Director CRBR Program Office Office of Nuclear Reactor Regulation U.S. Nuclear Regulatory Commission Washington, D.C. 20555

Dear Dr. Grace:

ADDITIONAL INFORMATION RESULTING FRCM OPEN ITEMS MEETING, DECEMBER 21, 1982

Reference:

Letter HQ:S:83:172, J. R. Longenecker to P. S. Check,

" November 17, 1982, Seismic / Structure / Cell Liner Analysis Working Meeting Regarding the Clinch River Breeder Reactor Plant," Dated January 12, 1983 This letter transmits new and revised responses related to the Nuclear Regulatory Commission- (NRC) Structural - Seismic Audit Findings on Cell Liner Analysis for the Clinch River Breeder Reactor Plant. The responses include:

1. New analysis (Enclosure 1).

a) Checkerboard Buckling Pattern: Detailed analysis of typical liner panel (Attachment I);

b) Symmetrical Buckling Pattern: Detailed analysis in the vicinity of stud (Attachment II); and c) Diagonal Checkerboard Buckling Pattern: An additional analysis for a typical liner panel with the model proposed by the NRC (Attachment III).

2. Revised responses to the NRC findings I.A.lc and I. A.ld of the reference letter. Based on discussions with NRC staff, the format of the responses has been changed by the addition of a tabulation of strains (Enclosure 2).

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2 This additional information is provided to address our most recent understanding of your concerns in this area. If you have any questions, please call Mr. A. Meller (FTS 626-6355) of the Project Office Oak Ridge staff.

Sincerely, John R. Longenecker Acting Director, Office of Breeder Demonstration Projects Office of Nuclear Energy 2 Enclosures cc: Service List Standard Distribution Licensing Distribution

ENCLOSURE 1

' *~

ATTACHMENT I CELL LINER CHECKERBOARD BUCKLING PATTERN DETAILED ANALYSIS OF TYPICAL LINER PANEL An evaluation of the strain conditions under a checkerboard pattern of buckling with the mathematical model of Figure B-1 was '

performed. It consists of a 15 inch square plate panel with a stud at the center. (Fifteen inch is the spacing between studs).

The boundary conditions at the edge of the plate are: free out-of-plane displacement, and full restrained in-plane displacement and edge rotation. The following ANSYS elements were used in the model: STIF 48 for plate, STIF'20 and STIF 8 for studs and STIF 12 for gaps between plate and concrete. To induce the desired buckling pattern a one pound force was applied at the diagonal corners that displaced away from the concrete. The other two diagonal corners displaced in the opposite direction.

Table B-1 shows the maximum strains and Figure B-2 the dis-plagement contours. The maximum equivalent von Mises strains at 770 F are:

Plate:. 0.010 in/in (Membrane), 0.017 in/in (Membrane + Bending)

Stud: 0.0036 in/in (Membrane and Membrane + Bending)

The strain allowable limits in accordance with the liner criteria are .087 in/in for membrane and 0.117 in/in for membrane plus bending strains. A comparison of the results of this case with that of unsymmetrical buckling (Response to Audit Finding I.A.ld) shows that the latter imposeh higher strains on the liner and stud.

, i , ... is

a e u a a e u a m se is is si as is to 22 m

.. 3 Stud -

se si se as as se se u

's 45 se St 55 we se sa si B LA R$

33 34 35 36 7}7 Stud Elements 4

FIG B-1 Wall Liner Checkerboard Buckling aathematical Model w--. - . . _ ,. ,., , , - - - - - -- - _ , - - ,. , - -

,,,,,,,__,-_,.7_ _ , _ , . , - , , . _ , , , , , , _ , , . . . - _ _ , , , . ,_ ,__ , . _ - . , _ - . . _ . , . , - - . , , , , -

n, _

] FIGURE 8-2 WALL LINER TYPICAL PANEL - CHECKERBOARD BUCKLING-DISPLACEMENTS

, n ' < <

N c

CONTOUR VALUES (INCHES)*

A = 3,3

- y, \ E g ,

-l

! *i 4 P l ~ C = .,9 c

_ N O * .8 3

E = ,7 F = ,6 i

1

,, G = .,5 i . '~ 'jger K

~

STuo I = ,3 J = .2 N g , ,,,

K L = 0 m

l

~

~

H M =3 I

k N * .2 O =3 i j I

l F N E l l

C D i i I S" 7.S" '

• . . . . . -- - --, a =

l

• Negative value Indicates displacement away from concrete

4 .

TABLE B-1 WALL LINER-CHECKERBOARD BUCKLING ELEMENT STRAINS (in/in)

ELEMENT M M+B 2 .005031 .009183 LINER 3 .005024 .009174 LINER 5 .004681 .011433 LINER 6 .006764 .009054 LINER 8 .005536 .010312 LINER 9 .004763 .012232 LINER 11 .003550 .013592 LINER 12 .003533 .013564 LINER 15 .004688 .011428 LINER 16 .006748 .009063 LINER 18 .009663 .016711 LINER 19 .009661 .016713 LINER 21 .008719 .010387 LINER 22 .008725 .010397 LINER 24 .005572 .010261 LINER 25 .004743 .012177 LINER 28 .004743 .012177 LINER 29 .005572 .010261 LINER 31 .008725 .010397 LINER 32 .008719 .010387 LINER 33 .003600 .003600 STUD-TOP 33 .003600 .003600 STUD-BOTTOM 34 .003600 .003600 STUD-TOP 34 .003600 .003600 STUD-BOTTON 35 .003600 .003600 STUD-TOP 35 .003600 .003600 STUD-BOTTOM 36 .003600 .003600 STUD-TOP 36 .003600 .003600 STUD-BOTTOM 38 2009661 .016713 LINER 39 .009663 .016711 LINER 41 .006748 .009063 LINER 42 .004688 .011428 LINER 45 .003533 .013564 LINER 46 .003550 .013592 LINER 48 .004763 .012232 LINER 49 .005586 .010312 LINER 51 .006764 .009054 LINER 52 .004681 .011433 LINER 54 .005024 .009174 LINER 55 .005031 .009183 LINER Allowable Strains

.087 (in/in) Membrane '

.117 (in/in) Membrane + Bending ,

l For Element Location See Figure B-1  ;

i

. ATTACHMENT 1E CELL LINER, i

SYMMETRICAL BUCKLING PATTERN  !

. .l DETAILED ANALYSIS IN THE VICINITY OF STUD

-. . - . , l For this analysis,'an axisymmetrical finite element math-ematical model was developed (Figure A-1) . A 7.5 inch radius (half the spacing between studs) was selected for the plate, with the stud at the center.

A fine mesh was used in the vicinity of the stud / liner plate juncture and a coarser mesh in areas beyond that region.

STIF 42 axisymmetrical ANSYS elements"were used for plate and stud. The interface (gap) between liner and concrete was represented by STIF 12 elements. A rigid beam (represented by STIF 3) was used to connect the nodes of the five layer elements to those of the one layer, at the radius of 1.875 inches.

Boundary conditions at the plate edge were: free out-of-plane displacement and fully restrained radial displacement and edge rotation. The stud end was fully restrained. The results of the analysis in terms of equivalent von Mises strains are given in Table A-1. , ,

The maximum equivalent von Mises s' trains.are .020 in/in for the plate and .035 in/in for the stud. These are below the limits estaglished by the criteria, at the maximum liner tempera-ture of 770 F.

I The maximum out-of-plane shear stress in the plate is 12.6 ksi at the section adjacent to the stud weld (lower element).

The maximum out-ofplane shear stress is 0.45 of the yield strength of the material. The average out-of-plane shear stress in the same plate section is 8 . 3 ksi or 30% of yield . The maximum shear stress in the weldment is 15.2 ksi. Figure A-2 shows the deflected. shape of the model. Table A-2 lists stresses at some elements in the vicinity of the stud.

-w .. .----,w..,,, . - . - , - m.w- ,,.----.w 4----

Detail X (See Fig. A-2) l 7.5"

/  % >i Ux = 0 l 1.875" .62E", 8 9 .625'" h=0 7

A Y =! I 10 6 2 k 18 14

t. "313"

. -  ::y 1 I . l

~

b h wr b RIGID LINK g, 3 3 h REh1rMT

- s NO _

x h D C E ZN ilz" w a. s t u o T

\

m -

CD m O V Y -

t FIGURE A-1 WALL LINER SYMMETRICAL BUCKLING MATHEMATICAL MODEL l

. . _ _ - , , - _ . _ - , , , , , , , - - . , _ _ _ . . _ , . , , __.,...,.-,__,.,--m._._,-- , - . _

Table A-1 Wall Liner Symmetrical Buckling Element Strains Strains (in/in) Element Strains (in/in)

Element Number Membrane M+B Number ,

Membrane' M+B _

l i

.0198 67 .00096 2 .0115

.00907 .0132 69 .0052 6

.0104 71 .0009 10 .0064

.0131 72 .0010 14 .0066

.0072 .0148 7 '4 .0056 18

.0008 76 .0008 27 77 .0043 29 .0028

.0085 79 .0061 31

.0009 81 .0007 32 82 .0050 34 .0051

.0116 84 .0029 36

.0007 86 .0009 37 87 .0016 39 .0053 ,

88 .0009 41 .0104

.00055 89 .0007 42 90 .0033 44 .0044 .011 91 .0030 46  ?

.0006 92 .0013 47 93 .018' 49 .0044

.0103 94 .014~

51

.0009 95 .033' 52

.0048 96 .033-54 i

104 .035 .035 56 .0111 106 .035 .035 57 .0009 108 .035 .035 59 .0053 ,

61 .0007 62 .0009 64 .0054 Allowable Strains 66 .0005

.087 (in/in) Membrane

.117 (in/in) Membrane + Bending For element number see Figures A-1 & A-2

Table A-2 Wall Liner Symmetrical Buckling Element Stresses IL m.1 SnIssIs GsI)

ILIMINT ELH3IR c -

5.I. 'l 2

3 2 -

31.1 1.18 -29.8 -29.9 6 - 1.4 32.9 0.81 -25.7 -32.1 10 - 0.9 33.3 0.5 -22.0 -32.9 42 2.3 17.2 9.4 - 1.6 - 7.8 44 2.7 27.2 2.7 -22.4 -24.5 46 0.3 34.6 0.6 -18.4 -34.0 67 2.2 29.4 0.2 -19.9 -29.2 69 9.3 28.3 6.35 -21.7 -21.9 71 12.6 26.1 19.4 - 1.00 - 6.70 72 1.9 29.4 0.45 -24.0 -28.9 74 8.00 29.9 10.3 -16.6 -19.6 76 7.0 23.5 23.5 3.1 -

87 14.2 31.5 34.4 16.8 2.9 1

90 15.2 31.8 26.7 3.2 - 5.0 95 - 1.10 38.8 36.9 - 1.70 - 1.9 o - Out of Plane Shear Stress x7 I

S.I. - Stress Intensity

= Principal Stresses cy.c2 .c3 1

- - - - , . , - - ~ - - - , - - , . , _ . , . - _.. ,------- ,-.- -,-- - -,

X l

2 i a

t e

D p -

7 9 1 2 2 3 l e

d o

M 2 4 6 l 3 3 3 a

, c G i

t

" a 9 1 m 7

3 3 4 e h

= t a

M 2 4 6 4 4 4 r e

n i

4

• L 7 9 1 l 1 5 l 4 4 a

_ = W 5 4 6 7 2 5 5 5 1 2 A

e E

8 7 9 1 R 5 5 6 U G

I F

2 4 6

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7 8

1 "

1 9 1 3 7 6 7 1 6

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" 1 8 3 5 7 1 5 7 9 8 8 9 9 9 2 7 1

e 6 2 2 4 9 4 6 9 9 9 8 8 8 8 2

w D f U

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m ,N cl ,

- E S 'm n

[

0 e

9 19

,a

+ -

-- t

, .252" d LINER T M

m

% ANCHOR FIGURE A-3 ggLL LINER - SYMMETRICAL BUCKLING EENT

n . _ - . - . . _. .. ~ .. - - -

~

. .: J-ATTACHMENT ][

(Sheet 1 of 4)

CELL LINER DIAGONAL CHECKERBOARD BUCKLING PATTERN DETAILED ANALYSIS OF TYPICAL LINER PANEL An evaluation of the strain conditions under a checkerboard pattern of buckling with the mathematical model of Figure A-1 was performed. It consists of a 15 inch square plate panel with.a stud at the center. (Fifteen inch is the spacing between studs).

One half of the full 15" x 15" panel has been modelled to use the symmetry inherent in the assumed buckling mode. The boundary conditions at the edge of the plate are: free out-of-plane displacement, and full restrained in-plane displacement and edge rotation. The following ANSYS elements were used in the model:

STIF 48 for plate, STIF 20 and STIF 8 for studs and STIF 52 for gaps between plate and concrete. The desired buckling pattern-was induced by applying one pound of normal force at two diametrically opposite corners, in the opposite directions.

Table A-1 shows the maximum strains and Figure A-2 the dis-plagement contours. The maximum equivalent von Mises strains at 770 F are:

, Plate:- .0095 in/in (Membrane), .016 in/in (Membrane + Bending)

Stud: 0.028 in/in (Membrane), 0.09 in/in (Membrane + Bending)

The strain allowable limits in accordance with the liner

! criteria are .087 in/in for membrane and 0.117 in/in for membrane i

plus bending strains.

,m+,----.. ,w, -,..--.--.7-w--n,_.,,, . , , . _ , _ . . -,-,e,,,.,,m. . . -- _ ___,, , ,m-,-,,,. .--,n...-,_,,--.,,,-m,,,_-~...-._.- ,-

n - ... .. . --- e. . ....

(Sheet 2 of 4) b 38  :

o N .

37 1/2" Dia. STUD 22 36

, 4, . .

21 35 3/8" Thick Liner 7 20 34' h*

6 19 33 1 5 18 32 9

?

7.5" ,

7.5" 10 12 14 16

,,, STUD ELEMENTS FIGURE A-1 WALL LINER DIAGONAL CHECKERBOARD BUCKLING MATHEMATICAL NODEL m_,.-_,

. * . . _ . - --... x_ -_,-. _.., - -e . . , - _ , _ _ , - - _ . _ , . . - , . . _ . . , _ _ _ _ --

____,__.__,_,,,__,_7 ,- _ . . . _ _ ,, , , - , - - . , - -

/ ,

CONTOUR VALUES '

(INCHES)*

A = -1.8 . .

B = -1.6

.252 h C = -1.4 .

D = -1.2 E=-1 F=.8 K

G= .6 n= .4 .

.\

I = .2 J=0

- K = .2 L = .4 g

H = .6 C N = .8 In 0=1 P = 1.2 E ,

D l

U

-1.51 ,

7.5" 7.5" g

f

. (0

• Negative value indicates dinpincement away from concrete ta O

m b

w FIGURE A-2 WALL LINER TYPICAL PANEL - DTAGONAL C11ECKERBOARD B11CKLING - DISPLACEMENTS

1. A 4 4 e (Sheet 4 of 4)

TABLE A-1 WALL LINER DIAGONAL CHECFIRBOARD BUCKLING ELEMENT STRAINS (IN/IN)

ELEMENT M H+B 1 . 001367 .011462 LINER 5 . 003911 .009736 LINER 6 . 004372 .013009 LINER 7 . 005467 .008694 LINER 10 . 029006 .090466 STUD-TOP 10 . 013127 .023619 STUD-BOTTOM 12 . 015885 .027452 STUD-TOP 12 . 013788 .014493 STUD-BOTTOM 14 . 014173 .015144 STUD-TOP 14 . 014027 .014992 STUD-BOTTOM 16 . 013777 .014589 STUD-TOP 16 . 015525 ,024833 STUD-BOTTOM 18 . 007578 .016063 LINER 19 . 004888 .012415 LINER 20 . 004536 .009310 LINER 21 . 004728 .013948 LINER 22 . 001652 .009357 LINER 32 . 009472 .015916 LINER 33 . 009361 .016289 LINER 34 . 006258 .016194 LINER 35 . 003713 .011180 LINER 36 . 001412 .005766 LINER 37 . 001394 .003736 LINER 38 . 000930 .001486 LINER 0 0 Allowable Strains:

.087 (in/in) Membrane

.117 (in/in) membrane and bending l For Element Location See Figure A-1 l

Enclosure 2 V Attachment 1 I. FINDINGS A. CELL-LINER DESIGN (3.8.3) ,

Ic. Wall Liner Near Embedded Plates

RESPONSE

The analysis of the finding had considered a strip'which included the embedded plate and liner plate with studs. The auditors considered that the boundary -

conditions utilized could prevent non-symmetrical buckling. The revised analysis considers a model with a 1/4 segment of embedment, liner plate and stud.

A 1/4 model was developed to analyze the liner in the vicinity of 30 inch x 30 inch embeded plates with 45 inches of liner between adjacent embedded plates. Figure 1.C-1 shows the details of the model.

The liner elements in the model described above were represented by plastic tritngular elements (STIF 48). The liner stud anchor elements were represented by plastic pipe elements (STIF 20) and spar elements (STIF 8). The concrete interface is modeled with e-D interface elements (STIF 52).

The maximum strains are below the strain allowables based upon stress /strgin allowables of PSAR Section 3.8-B, at the maximum liner temperature of 770 F.

1 Figure 1.C-1 shows the element numbers on the mathematical model, whereas the maximum strains are shown in Table 1.C-1. The displacement contours are shown in Figure 1.C-2.

9- - - - - .,,g-_- --,. - ----. _.n._,, - - -

Rey, 1 15" _l 15" _

7.5"

~

J s a

~ XXX XXXXXXX  ?

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X XX X XXXXXX X X X XX X XXXX XXX X XXXXX'x "

WNx X XXAX

-  ; ;z y y yy XX XX XXXX X ;< '

XX XWX><XX X l 51 I

3/8" Thick Linei-3/4" thick Embedded Plate 1/2" diameter stud elements shown in larger bold numbers 268, 297, 326, 187, 51 269, 298, 327, 188, 52 270, 299, 328, 189, 53 271, 300, 329, 190, 54

"" Stud Elements Figure 1.C-1 Wall Liner At Embedded Plate Mathematical Model

${B-3 e4 gg A g g%o B,a D U

T S

f D "

U 2 T

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5 7 5 2 5

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5 I

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TL = = 3 NA OV C

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s

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C M D E A E E L ED IP TA L

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Revision 1 Sheet 1 of 6 TABLE 1.C-1 LINER AT EMBEDDED PLATE STRAINS (in/in)

ELEMENT H H+B 2 .000573 .000863 LINER 3 .000574 .000863 LINER 6 .000549 .000659 LINER 7 .000449 .000536 LINER 8 .000487 .000523 LINER 9 .000487 .000523 LINER 10 .000449 .000536 LINER 11 .000549 .000659 LINER 14 .000544 .001088 LINER 15 .000498 .001045' LINER 18 .000442 .001439 LINER 19 .000352 .001098 LINER 20 .000289 .001231 LINER 21 .000357 .001444 LINER 22 .000430 .001109 LINER 23 .000526 .001125 LINER 28 .002924 .011907 LINER 29 .003347 .012074 LINER 32 .001069 .002707 LINER 33 .002005 .002693 LINER 34 .002066 .002687 LINER 35 .001171 .001858 LINER 36 .002100 .011065 LINER 37 .002900 .011950 LINER j 40 .005371 .024542 LINER 41 .006330 .025521 LINER 44 .002499 .004955 LINER 45 , .001316 .002522 LINER 46 .001606 .003598 LINER 47 .001742 .002896 LINER 48 .004894 .024672 LINER 49 .005429 .024363 LINER 51 .039272 .101635 STUD-TOP 51 .017833 .030313 STUD-BOTTOM 52 .017288 .029625 STUD-TOP 52 .012531 .013920 STUD-BOTTOM 53 .012510 .013890 STUD-TOP 53 .011950 .012951 STUD-BOTTOM 54 .011958 .012960 STUD-TOP I 54 .015351 .023417 . STUD-BOTTOM 57 .003021 .013961 LINER 58 .002367 .012622 LINER 61 .001463 .002425 LINER 62 .001494 .002849 LINER 63 .001261 .002515 LINER

Revision 1 Sheet 2 of 6 TABLE 1.C-1 LINER AT EMBEDDED PLATE STRAINS (in/in)

ELEMENT H H+B 64 .001409 .002257 LINER 65 .003555 .012982 LINER 66 .003247 .011901 LINER 71 .000498 .001046 LINER 72 .000544 .001089 LINER 75 .000526 .001125 LINER 76 .000430 .001109 LINER 77 .000357 .001445 LINER 78 .000289 .001231 LINER 79 .000352 .001098 LINER 80 .000443 .001440 LINER 83 .000339 .001809 LINER 84 .000339 .001809 LINER 87 .000310 .002502 LINER 88 .000267 .003529 LINER 89 .001406 .008263 LINER 90 .001406 .008265 LINER 91' .000267 .003528 LINER 92 .000310 .002503 LINER 97 .001561 .010652 LINER 98 .002069 .011636 LINER 101 .000978 .001925 LINER 102 .003387 .005044 LINER 103 .003733 .006307 LINER

. 104 .001507 .004928 LINER 105 .001791 .009572 LINER 106 .001795 .011369 LINER 109 .007257 .025676 LINER 110 .005843 .025337 LINER 113 .002932 .004063 LINER 114 .002184 .003366 LINER 115 .001878 .006594 LINER 116 .003998 .009042 LINER 117 .007765 .023371 LINER 118 .007648 .025255 LINER 121 .002134 .010786 LINER 122 .003456 .013025 LINER 125 .001279 .002413 LINER 126 .001812 .003066 , LINER 127 .002967 .003675 LINER

128 .002378 .003689 LINER 129 .002881 .011578 LINER 130 .002261 .015278 LINER 140 .003349 .012074 . LINER 141 .002924 .011906 LINER

Revision 1 Sheet 3 of 6 TABLE 1.C-1 LINER AT EMBEDDED PLATE STRAINS (in/in)

ELEMENT H M+B 144 .002900 .011949 LINER 145 .002102 .011060 LINER 146 .001174 .001857 LINER 147 .002070 .002688 LINER 148 .002007 .002697 LINER 149 .001072 .002713 LINER 152 .002070 .011634 LINER 153 .001561 .010647 LINER 156 .001792 .011359 LINER 157 .001787 .009543 LINER 158 .001509 .004942 LINER 159 .003716 .006292 LINER 160 .003390 .005051 LINER 161 .000979' .001927 LINER 164 .005324 .013081 LINER 165 .005324 .013061 LINER 168 .005160 .008150 LINER 169 .005207 .008627 LINER 170 .003181 .009028 LINER 171 .003199 .009037 LINER 172 .005215 .008623 LINER 173 .005166 .008150 LINER 176 .004482 .016266 LINER 177 .007066 .023267 LINER 180 .004841 .008894 LINER 181 .004816 .009177 LINER 182 .003740 .006522 LINER

! 183 .003734 .006760 LINER 184 .001143 .010093 LINER 185 1

.002446 .017765 LINEP

.058057 .112673 STUD-TOP 187

.030379 .041427 STUD-BOTTOM 187

.029571 .040615 STUD-TOP 188

.026407 .026683 STUD-BOTTOM 188

.026398 .026676 STUD-TOP 189

.025989 .026899 STUD-BOTTOM 189 STUD-TOP 190 .025993 .026905

.028135 .037416 STUD-BOTTOM 190 193 .004339 .011070 LINER 194 .005982 .017213 LINER 197 .005488 .010770 . LINER 198 .007587 .014961 LINER 199 .010256 .013184 LINER 200 .010081 .017995 LINER 201 .008937 .014387 LINER 202 .003157 .005026 . LINER

_ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ - - - - . - , _ _ - . - . , . . , - - - - . _ . - . . . . . _ - . - . - - - - , , . - - - - . . , . - - - - - . - . - . . - - ~ - _ - - _ - - - - - - - - - - - - - - - - . _

Revision 2 Sheet 4 of 6 TABLE 1.C-1 LINERATEMBEDDEDPLATESTRAINS(in/in)

ELEMENT M M+B 207 .006340 .025528 LINER 208 .005367 .024541 LINER ,

211 .005427 .024363 LINER 212 .004903 .024680 LINER 213 .001744 .002898 LINER 214 .001606 .003602 LINER 215 .001317 .002523 LINER 216 .002504 .004957 LINER 219 .005845 .025330 LINER 220 .007272 .025686 LINER 223 .007647 .025255 LINER 224 .007755 .023374 LINER 225 .003951 .008980 LINER 226 .001874 .006575 LINER 227 .002176 .003363 LINER 228 .002924 .004052 LINER 231 .007081 .023293 LINER 232 .004485 .016265 LINER 235 .002480 .017767 LINER 236 .001142 .010079 LINER 237 .003732 .006737 LINER 238 .003735 .006514 LINER 239 .004819 .009232 LINER 240 .004846 .008930 LINER 243 .000711 .013888 LINER 244 .000711 .013881 LINER 247 .001881 .011670 LINER 248 .005670 .020496 LINER 249 .004443 .006602 LINER 250 .004459 .006632 LINER 251 .005675 .020477 LINER 252 .001883 .011672 LINER 255 .006661 .018907 LINER 256 .010735 .022002 LINER 259 .012885 .017234 LINER 260 .012425 .015926 LINER 261 .012127 .027955 LINER 262 .009377 .017859 LINER 263 .010324 .022801 LINER

264 .007826 .009026 LINER 268 .039242 .101572 . STUD-TOP 268 .017816 .030293 STUD-BOTTOM 269 .017272 .029605 STUD-TOP 269 .012509 .013902 STUD-BOTTOM 270 .012488 .013871 STUD-TOP 270 .011926 .012929 . STUD-BOTTOM

- R2 vision 1 Sheet 5 of 6 TABLE 1.C-1 LINER AT EMBEDDED PLATE STRAINS (in/in) t ELEMENT H M+B 271 .011934 .012939 STUD-TOP 271 .015334 .023399 STUD-BOTTOM 274 .002368 .012620 LINER 275 .003020 .013965 LINER 278 .003247 .011899 LINER 279 .003555 .012982 LINER 280 .001409 .002250 LINER 281 .001261 .002516 LINER 282 .001493 .002848 LINER 283 .001463 .002425 LINER 286 .003457 .013021 LINER 287 .002135 .010789 LINER 290 .002262 .015272 LINER 291 .002894 .011598 LINER 292 .002888 .003700 LINER 293 .002972 .003674 LINER 294 .001818 .003069 LINER 295 .001280 .002411 LINER 297 .058098 .112673 STUD-TOP 297 .030395 .041439 STUD-BOTTOM 298 .029586 .040626 STUD-TOP 298 .026426 .026707 STUD-BOTTOM '

299 .026417 .026700 STUD-TOP 299 .026010 .026916 STUD-BOTTOM 300 .026014 .026922 STUD-TOP 300 .028150

.037417 STUD-BOTTOM .

303 .005995 .017217 LINER 304 .004355 .011086 LINER 307 .003152 .005022 LINER 308 .008783 .014401 LINER 309 .010104 .017946 LINER

! 310 .010249 .013165 LINER 311 .007615 .014975 LINER 312 .005497 .010767 LINER 315 .010705 .021947 LINER 316 .006647 .018853 LINER l 319 .007854 .009054 LINER 320 .010338 .022827 LINER  ;

321 .009374 .017863 LINER l 322 .012111 .027905 LINER

323 .012415 .015927 LINER ,

l 324 .012843 .017209 LINER j 326 .046251 .109978 . STUD-TOP- [

326 .019698 .035915 STUD-BOTTOM ,

327 .018946 .034846 STUD-TOP l 327 .012025 .014729 . STUD-BOTTOM l

Revision 1 Sheet 6 of 6 TABLE 1.C-1 LINERATEMBEDDEDPLATESTRAINS(in/in)

ELEMENT H H+B 328 .011974 . 014648 STUD-TOP 328 .010970 . 012457 STUD-BOTTOM 329 .010989 . 012481 STUD-TOP 329 .015741 . 025383 STUD-BOTTOM 332 .007858 . 023081 LINER 333 .007848 . 023078 LINER 336 .007604 . 015228 LINER 337 .007649 . 011632 LINER 338 .005504 . 014556 LINER 339 .005496 . . 014538 LINER 340 .007643 . 011615 LINER 341 .007599 . 015221 LINER 0 0 t

Allowable Strains 0.087 (in/in) Membrane 0.117 (in/in) Membrane Plus Bending e

Enclosure 2 Kttachment' 2' .

l I. FINDINGS A. CELL LINER DESIGN (3.8.3)

Id. Typical Wall Liner at a Stu(Connection

RESPONSE

8 The analysis of the finding had considered a plane of symmetry at 45 angle (1/8 segment). The auditors considered that this boundary condition could ,

prevent non-symmetrical buckling. The revised analysis considers a 1/2 segment model.

The analysis of the typical wall / ceiling cell liner panel was performed with the mathematical model arranged to maximize the asymmetrical buckling of the liner plate in order to artificaially induce the worst case buckling of the stud. The mathematical model is shown in Figure 1.D-1.

The liner elements were represented by plastic triangular elements (STIF 48).

This liner stud anchor elements were represented by plastic pipe elements (STIF 20) and spar elements (STIF 8). The concrete interface was modeled with 3-D interface elements (STIF 52).

A plane of symmetry was assumed through the stud. To induce buckling in the desired pattern an initial force of 1 pound perpendicular to the plane of the y

, liner and directed away from the wall was applied on Node 77.

Figure 1.D-1 shows the element numbers on the mathematical nodel, whereas the element strains are shown in Table 1.D-1.

The maximum displacements are shown in Figure 1.D-2. The cell liner and stud strains are within the strain al maximum liner temperature ofF.770}owables per PSAR Section 3.8-B, at the 1

Rev. 1 7.5"

, in i3 3 e e il a e e n n se at n te le n m

=

W, M 18 39 M

^ u a = n , ,

. ,65 u a o si ,

67

,69

= u a ,

,71

/ ,, ,, f1/2" Diameter Stud '^"'

- " " Stud Elements s.\N se en u

e to w se 64 vi n .i =

y .

~I 7

'" 3/8" Thick Liner let 104 500 888 105 123 It? 108

, i, a inn igg FIGURE 1.D-1 WALL LINER - NON-SYMMETRIC BUCKLING MATHEMATICAL MODEL

Revision 1 FIGURE 1.0-2 WALL LINER - NON SYPNETRIC BUCKL1NG-DISPLACEMENTS j

i l a -

q i -

N v CONTOUR VALUES (Inches)*

1 l

A = -1.37 B = -1.25 N C = -1.12 D = -1 l t

' E = .875 N s s N K s F = .75 J s G.= .625 H = .5 h h/2 of 1/2" d STUD I = .375 N \

i

\ '

J = .25 K = .125 F = 0 L

• E M = .125 D .

N = .25 0 = .375 C -

~_

! MAXIMUM NEGATIVE B -

DISPLACEMENT N

-1.32" 7 i 7,gn i

• Negative value indicates ' displacement away from concrete

Revision 1 Sheet 1 of 2 TABLE 1.D-1 WALL LINER - NON SYMMETRIC BUCKLING ELEMENT STRAINS ELEMENT M H+B l 2 .004958 .009889 LINER 3 .004889 .009463 LINER 5 .004855 .010465 LINER 6 .005292 .007170 LINER 8 .005880 .010195 LINER 9 .007142 .008066 LINER 11 .007587 .008210 LINER 12 .007937 .008696 LINER 15 .004736 .008479 LINER 16 .004927 .008012 LINER 18 .004134 .007355 LINER 19 .005297 .008368 LINER 21 .005898 .011265 LINER 22 .006003 .010535 LINER 24 .006502 .013020 LINER 25 .007940 .009957 LINER 28 .004944 .010462 LINER 29 .004746 .008646 LINER 31 .004012 .006722 LINER 32 .003249 .006165 LINER 34 .002906 .007058 LINER 35 .005904 .010712 LINER 37 .006481 .013928 LINER 38 .005746 .016718 LINER 41 .004905 .011362 _ LINER 42 .004681 .011918 LINER 44 .002861 .006167 LINER j

l 45 .003319 .006209 LINER l 47 .002965 .005452 LINER 48 .002275 .006508 LINER 50 .004169 .017234 LINER 51 .005724 .017614 LINER 54 .004608 .012881 LINER 55 .004676 .012362 LINER 57 .003017 .006416 LINER 58 .003240 .004973 LINER 60 .002955 .005934 LINER 61 .003024 .006903 LINER 63 .004304 .017383 LINER 64 .005224 .018649 LINER 65 .008291 .058921 STUD-TOP 65 .002256 .009656 STUD-BOTTOM 67 .003639 .012576 STUD-TOP i

67 .000720 .001007 STUD-BOTTOM 69 .000808 .001133 STUD-TOP

Revision 1

. Sheet 2 of 2 l 1

TABLE 1.0-1 WALL LINER - NON SYMMETRIC BUCKLING ,

ELEMENT STRAINS l ELEMENT M M+B 69 .001236 .002192 STUD-BOTTOM 71 .000738 .001126 STUD-TOP 71 .005097 .013707 STUD-BOTTOM 74 .004403 .013383 LINER 75 .004468 .011779 LINER 77 .004197 .006953 LINER 78 .003507 .005650 LINER 80 .003275 .005684 LINER 81 .005418 .009543 LINER 83 .005857 .013232 LINER 1 84 .005635 .015184 LINER 87 .005511 .012173 LINER 88 .004428 .013722 LINER 90 .003902 .009066 LINER 91 .004754 .008889 LINER 93 .005764 .008767 LINER 94 .005003 .008019 LINER 96 .005805 .010934 LINER 97 .006336 .009737 LINER 100 .005499 .014193 LINER 101 .005457 .014853 LINER 103 .005525 .011426 LINER 104 .004875 .017035 LINER 106 .005994 .015515 LINER 107 .007318 .021380 LINER 109 .008403 .020769 LINER 110 .008713 .021565 LINER I

Allowable Strains

.087 (in/in) - Membrane

.117 (in/in) - Membrane + Bending For Element Numbers See Figure 1.D-1

. - . _ _. --. - -.