Text

Rev. 0 to M-EP-2003-004, Fracture Mechanics Analysis for the Assessment of the Potential for Primary Water Stress Corrosion Crack Growth Un-Inspected Regions of the Control Element Drive Mechanism At..., Appendix C, Attachments 19 Through 2
	ML032790383
Person / Time
Site:	Waterford
Issue date:	09/15/2003
From:	; Entergy Operations
To:	; Document Control Desk, Office of Nuclear Reactor Regulation
References
	CNRO-2003-00038 M-EP-2003-004, Rev. 0
	Download: ML032790383 (86)
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Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 19 Page I of 11 Engineering Report M-EP-2003-004-00 Primary Water Stress Corrosion Crack Growth Analysis ID flaw; Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-11707; July 1992.

2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Waterford Steam Electric Station Unit 3 Component: Reactor Vessel CEDM -"29.1" Degree Nozzle, "90" Degree Azimuth, 1.544" above Nozzle Bottom Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rm/t" - between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the detennination of the crack extension to obtain the value in inch/hr.

ID Surface Flaw "i

~- r.i

~

A_~~~~~~~~~~~~~~~~~~~~

-E Developed by:

J. S. Brihmadesam Verifed by:

B. C. Gray

Entergy Operations InaC Appendix C; Attachment 19 Central Engineering Programs Page 2 of 1 1 Ire i i

tegre iodn7 eo e

ans_-co-nsan orWSE - a s

ou rOtec n

n ff p_'u I RUM Data:

Engineering Report M-EP-2003-004-00 60 nfitIal aw ~en nlbitia-la eJ~

ueh esiD n' M eraai6 -ress re. Ittema te tdt6hio i WfdWC racm o 0

si aeob-fl veratin emeraur ef6 1 onsani or;WI I

ro 6

e erma actiVa10 nefr -

irCac!Gro R

2effeen-cese eature oirno IzinDa od Ro := 2 id Rid:

2 t= R 0 -Rid t

Rm : Rid+2 Timopr := Years-365-24 CFnhr := 1.417 105 Timopr CbIk :=Ji

Ilim,

lim PMtblk :

50 L

Rm t

[ Qg

(

1l l

8

1. 103.-3 tT+496

~Tref+45 9.67)T co, := e

.*aOC Temperature Correction for Coefficient Alpha Developed by:

J. S. Bnhmadesam Verified by:

B. C. Gray

Enitergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 19 Page 3 of 11 Engineering Report M-EP-2003-004-00 Co := CoI 75 th percentile MRP-55 Revision 1 AllData :=

>r0.Ol;9; 4

2 v

E3' 4

.0.

0 6.95 3.27 0.65

-1.57

-4.01 1

1

-2.7

-4.36

-5.71

-7.05

-8.17 2

1.79

-0.9

-3.16

-5.01

-5.65

-5.55 3

2.43 16.37 12.05 9.1 6.05 1.52 4

2.95 32.34 25.97 21.35 16.3 11.16 5

3.36 32.9 26.89 24.3 26.19 32.37 6

3.69 22.42 24.04 25.79 38.47 47.27 3.82 11.46 17.71 24.72 41.34 55.71

8.

3.96 5.79 13.75 24.91 44.82 54.09 9

4.09 1.69 11.14 24.39 45.42 55.6 10 4.23

-0.21 10.05 24.64 44.41 58.86 11 4.37

-1.29 9.63 25.29 43.96 53.2 AXLen:= AllData(°)

IDAl1 := AllData'l)

ODAlI := AllData(5)

Developed by:e J. S. Bnhmadesam Velffied by B. C Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 19 Page 4 of 11 Engineering Report M-EP-2003-004-00

=W~~~~S to 0-gg A.

a_

g m

i2 71

uM~ge Data: =

0 6.948 3.273 0.645

-1.57 -4.013) 0.996 -2.696 -4.363

-5.71

-7.053 -8.174 1.794 -0.898 -3.157 -5.009 -5.653 -5.545 2.434 16.369 12.049 9.098 6.045 1.522 2.946 32.337 25.967 21.347 16.296 11.16 3.356 32.897 26.895 24.305 26.191 32.374 3.685 22.418 24.04 25.793 38.469 47.275 3.822 11.456 17.713 24.721 41.335 55.712 3.958 5.786 13.749 24.907 44.824 54.092 4.095 1.689 11.142 24.388 45.417 55.597 4.231 -0.207 10.05 24.642 44.414 58.862)

AxI := Data(°)

MD:= Data(3)

ID := Data(l)

TQ := Data(4)

QT := Data(2)

OD:= Data(5)

RID := regress(Axl,ID,3)

RQT:= regress(Axl,QT,3)

ROD := regress (Axl, OD, 3)

RMD := regress(Axl,MD,3)

RTQ := regress(Axl,TQ,3)

Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 19 Page 5 of 11 Engineering Report M-EP-2003-004-00 FLCntr =

Refpojnt - CO if Val = I RefPoint if Val = 2 RefPoint + CO otherwise UTip := FLCntr+ CO Flaw center Location above Nozzle Bottom ULStrs.Dist - UTiP rs.avg =

20 o Ese nut sr ie-F e on N

is oi n Sat Aug 09 10:59:39 AM VIIII-i Developed by.

J. S. Bnihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Progranis Appendix C; Attachment 19 Page 6 of l 1 Engineering Report M-EP-2003-004-00 PropLength = 1.981 Flaw Growth in Depth Direction I

I I

I 0.6 a,

v.5

-0.4 _

0.2 _

I I

AnU0 0.5 I

1.5 2

2.5 Operating Time {years}

3 3.5 4

2 1.5 s I,-

IL =

I-I 0 -

ZZI I

0

-1 I

,I

.1

,0 I

0

.5 LT.

I 10.5 I I

I I

I 0

-0.5 _

-1 _

0.5 I

1.5 2

2.5 Operating Time {years}

3 3.5 4

Developed by:V J. S. Blihmadesam Vetiried by.-

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 19 Page 7 of 11 Engineering Report M-EP-2003-004-00 Developed by.

J. S. Bnihmadesam Verified by:

B. C. Gray C,

Entergy Operations Inc.

Appendix C; Attachment 19 Central Engineering Programs Page 8 of 11 Engineering Report M-EP-2003-004-00 Developed by:

J. S. BrIhmadesam Verified by.

B. C. Gray

Entergy Operations Inc.

Central Engineering Programns CGRsambi(k 8) 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 Appendix C; Attachment 19 Page 9 of 11 Engineering Report M-EP-2003-004-00 CGRsambi(k 6) 0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.875 0.875 CGRsambi 0.611 0.611 0.611 0.611 0.611 0.611 0.611 0.611 0.611 0.611 0.611 0.611 0.611 0.611 0.611 0.611 Developed by.

J. S. Srihmadesam Verified by.

B. C. Gray

Entergy Operations Inac Central Engineering Programs Appendix C; Attachment 19 Page 10 of 11 Engineering Report M-EP-2003-004-00 ID--- HID Hop StIres s1 0H oovp Stfres f7ja AZ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-

p o Blind Zone~~~~~~~~~~~~~~~~~~~"

I

.~ ~

~~~~N C

Pr Aial' Dis taneFo ozeBttom (Ic 0.06

, 0.05 f5 0.04 0.03

................ -...M....

nn,,

a I

2 Operating Time (years) 3 4

Developed by:

J. S. Blihmadesam Verifed by:

S. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 19 Page 11 of 11 Engineering Report M-EP-2003-004-00 0.5 c 0.3

.0_

i -0.1 (34.

i -0.3 -

-0.5 0

1 2

Operating Time {years}

3 4

0.85 T70 5 0.80 b 0.75 ID 0.70 E

IZ 0.65 -

0.60 -

I S:F Depth Point S F Surface Point 0

1 2

Operating Time {years) 3 4

Developed by:

J. S. Brihmadesam Verifed by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 1 of 11 Engineering Report M-EP-2003-004-00 Primary Water Stress Corrosion Crack Growth Analysis - OD Surface Flaw Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-1707; July 1992.

2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Waterford Steam Electric Station Unit 3 Component: Reactor Vessel CEDM -"29.1" Degree Nozzle, "90" Degree Azimuth, 1.544" above Nozzle Bottom Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rm/t" -- between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

OD Surface Flaw in

tee

__r e~o e

es`s1 U0 `qseorna r.'is

68 Developed by:

J. S. Bnhmadesam Verified by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 2 of 11 Engineering Report M-EP-2003-004-00 ere ions.

- idif e eowemaincnstan or 6d SES-3ar a Isis~an tf ou no ec an e Input Data :-

~~~~~~~El Jdbe3Ot tIa. a en F- - F _7 tia aw ref SI afbef-f.Op eratin jYe rau r:onsa

.n1MRRPjeWStC;M~odeI '.fo-r00 /Vro -':J:d6J 7 e ea

~ciati Enr r rc 7wtR eere cere era re orno6 aizi Rde od Ro := 2 id Rid

-y t:=Ro-Rid t

Rm :=Rid+ -

Timopr := Years-365-24 CFinhr :=1.417*105 Timopr Cblk:= -u limn Pmtblk:

50 L

C0 2 Rm Rt :=-

L I.1o3.

3(1T+459.67 Tref;459.67)T CO 1= e

.01C Temperature Correction for Coefficient Alpha Developed by:

J. S. Erihmadesam Verified by.

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 3 of 11 Engineering Report M-EP-2003-004-00 Co0

CoI 75 th percentile MRP-55 Revision 1 Stress Input Data AllData :

o0 0

6.95 3.27 0.65

-1.57

-4.01 1

1

-2.7

-4.36

-5.71

-7.05

-8.17 2

1.79

-0.9

-3.16

-5.01

-5.65

-5.55 3

2.43 16.37 12.05 9.1 6.05 1.52

.4 2.95 32.34 25.97 21.35 16.3 11.16

,5 3.36 32.9 26.89 24.3 26.19 32.37 06 l 3.69 22.42 24.04 25.79 38.47 47.27

~7.

3.82 11.46 17.71 24.72 41.34 55.71 8

3.96 5.79 13.75 24.91 44.82 54.09

.9 4.09 1.69 11.14 24.39 45.42 55.6 10 4.23

-0.21 10.05 24.64 44.41 58.86 111 4.371

-1.29 9.63 25.29 43.96 53.2 AXLen:= AllData(°)

IDAll:= AllData(')

OD

= AllData (5)

All Stress Distribution 60

.7IDAlI CA ODAII Cn cj 40 20 0

-20 0

0.5 1

1.5 2

2.5 3

3.5 4

4.5 5

5.5 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc Central Engineering Prograins Appendix C; Attachment 20 Page 4 of 11 Engineering Report M-EP-2003-004-00 AXLen Axial Elevation above Bottom [inch]

~~rvinn.

~ raaa,a n u i~Ngip arnnna ah 1A rhh-v-ei'ahPa a s..

rnar1 a

~~~~~~~~~~~~~~~~~~~~~--

rS~rTlrFlfljT.'1rT63rP3T,5MW I

flflflIflfl yfl VIf

YI'WflIfl 7flITIflfl W( flflhI TflPiqPIPfTIflfl rlflITflPI

a:

as o

a Data :=

0.996 -2.696 -4.363

-5.71

-7.053 -8.174) 1.794 -0.898 -3.157 -5.009 -5.653 -5.545 2.434 16.369 12.049 9.098 6.045 1.522 2.946 32.337 25.967 21.347 16.296 11.16 3.356 32.897 26.895 24.305 26.191 32.374 3.685 22.418 24.04 25.793 38.469 47.275 3.822 11.456 17.713 24.721 41.335 55.712 3.958 5.786 13.749 24.907 44.824 54.092 4.095 1.689 11.142 24.388 45.417 55.597

~4.231

-0.207 10.05 24.642 44.414 58.862 I

Axi := Data(°)

MD:= Data(3)

ID := Data(l)

TQ := Data(4)

QT = Data(2)

OD :=Data(5)

RID := regress(Axl,ID,3)

RQT := regress(Axl,QT, 3)

ROD := regress(Axl,OD,3)

RMD := regress(Axl, MD, 3)

RTQ := regress(Axl,TQ,3)

FLCntr RefPoint - c0 if Val =

Flaw center Location Location above Nozzle Bottom RefPoint if Val = 2 RefPoint + c0 otherwise ULStrs.Dist - UTip UTip : FLCntr+ co IncStrs.avg ::-20 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 5 of 11 Engineering Report M-EP-2003-004-00 osern seutre eo is In ffi Sat Aug 09 10:21:18 AM 2003-Developed by:

J. S. BrihmadesamC Verified by.-

B. C Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 6 of 11 Engineering Report M-EP-2003-004-00 ProLength = 1.981 Developed by:V J. S. Brihmadesam Velffied by.-

B. C Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 7 of 11 Engineering Report M-EP-2003-004-00 Developed by.

J. S. Bnhmadesam Verified by.

B. C. Gray C-o¢(

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 8 of 11 Engineering Report M-EP-2003-004-00 Influence Coefficients - Flaw 0.8 0.7 0

.(A

'0 P

U EU 0.6 0.5 0.4 0.3

.............................................................. I..............I.....I............................................................................................................. I...............................................................

0.2 0.1 0

0 0.5 I

I.5 2

2 Operating time {years}

'.5 3

3.5 4

Ila" - Tip -- Uniform "a" - Tip -- Linear "a" - Tip -- Quadratic "a" - Tip -- Cubic i"c" - Tip -- Uniform "c'- Tip -- Linear "c" - Tip -- Quadratic

..... "c" - Tip -- Cubic Developed by:

J. S. Brfhmadesam Verified by:

B. C. Gray C05

Eutergy Operations Inc Central Engineering Prograins Appendix C; Attachment 20 Page 9 of 11 Engineering Report M-EP-2003-004-00 CGRsambi(k 8) 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 CGRsambi(k 6) k-4.005

-4.005

-4.005 CGRsambi k 5)

-2.7461

-2.746

-2.746 Developed by:

J. S. BSimadesam Verified by:

B. C. Gray

Entergy Operatiorns Inc Central Engineering Progranms Appendix C; Attachment 20 Page 10 of 11 Engineering Report M-EP-2003-004-00 50 L

7 mi~~~~~~~~~

- 8 l O D D istribu tio n Distribution T

To I

eB II.d Zoo 0

3 Dsace fro NzzlBotm inhs 0.5 -

10.3-Z i 0.1-05 IS I _o.1 -

ei -D _0.5 -

s s

0 1

2 Operadng Tirn (years 3

4 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 11 of 11 Engineering Report M-EP-2003-004-00 I --::

Surface point- (Y'. I Depth P.int (

-2.9 -

6

-3.7 -

if 0 1

2 Opeating Time (years) 3 4

Developed by.

J. S. Bnhmadesam Verified by:

B. C. Gray COo

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page 1 of 10 Engineering Report M-EP-2003-004-00 Stress Corrosion Crack Growth Analysis Through-wall flaw Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray Note: Only for use when RutSd/t is between 2.0 and 5.0 (Thick-wall Cylinder)

References:

1) ASME PVP paper PVP-350, Page 143; 1997 {Fracture Mechanics Model)

2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Waterford Steam Electric Station Unit 3 Component: Reactor Vessel CEDM -"29.1 "degree Nozzle, "90" Degree Azimuth 1.544 inch above Nozzle Bottom Calculation

Reference:

MRP 75 th Percentile and Flaw Pressurized Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

Through Wall Axial Flaw e condnput she Uppr~kmitor e ea uatin, ic he ho~on, fhe illt el e T IS'i ow at xelre he e

aomEne tisimnsonmesuedoPOW a-ER

-p er ta n or tres Sn lf.e-sed Ax asi iaisanc o3Jv-e1 oZ oob0tC~

Deeoe by eife y IDeveloped by Verified by: I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page 2 of 10 Engineering Report M-EP-2003-004-00 IFeF HMahlia7tea.1n ries elowremains-c:onstantifor

-WS

-'3an dr'¢fouu-i-not.tbe'c an aedl Input Data :

L := 0.25 ia.720

@o Initial Crack Length TW axial Based on Stress Distribution. Bottom end of Crack to be set @ approximately 1 Oksi.

ueO esi nO era i rEdss r

=e ter a

'OffrfiinatrFWe~_ i N_

l P_

,__,,_..._e e.K..__t le~ratio-niitn~or>Crac 4Gro

'00loo s5 tImae-t 0J6j e~raifn eq T6fieraur aO6isso aio ref'MMM o s MPnWR C o e or ON Q

rout e

ema civ5ation E

r or rac tG o

MP Fe-e=rence em rature o or a iin a are 1.103* 10 (T+49.67 Tref+4 59.67 J Co:= e

-a~c Timopr := Years-365-24 od Ro :=-o R; = id 2

t:= Ro-R; Rm:= R; + -

2 CFinhr:= 1.417-105 Cblk Timopr llim

lim Prntblk=

-0 I

L 2

De eoefy V rfe y

IDeveloped by Verified by: I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page3of10 Engineering Report M-EP-2003-004-00 Stress Distribution in the tube. The outside surface is the reference surface for all analysis in accordance with the reference.

rIess nIl u atE l DataAIl :=

-z;2 I

.-;I

,,.I

--, I ""a,,I lz

i --' -

4 5'---'-`)

,4, '

, "," - -O,

131-1 e -

,Y-- I I I,,

I I

11 :

0 0

6.95 3.27 0.65

-1.57

-4.01 41I 1

-2.7

-4.36

-5.71

-7.05

-8.17 2

1.79

-0.9

-3.16

-5.01

-5.65

-5.55

3, 2.43 16.37 12.05 9.1 6.05 1.52 43 2.95 32.34 25.97 21.35 16.3 11.16 D5 3.36 32.9 26.89 24.3 26.19 32.37

^6 -

3.69 22.42 24.04 25.79 38.47 47.27 7

3.82 11.46 17.71 24.72 41.34 55.71 8

3.96 5.79 13.75 24.91 44.82 54.09 9

4.09 1.69 11.14 24.39 45.42 55.6 10 4.23

-0.21 10.05 24.64 44.41 58.86 11 4.37

-1.29 9.63 25.29 43.96 53.2 AllAxl:= DataA l 0 AIIID:= DataAl(I)

AIIOD:= DataAll 5 Developed by:

Verified by:~~~~

IDeveloped by.

Verified by. I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page 4of10 Engineering Report M-EP-2003-004-00 60 46.67 33.33 20 6.67 6.67-

-20 0

0.5 1

ID Distribution OD distribution 1.5 2

2.5 3

3.5 4

4.5 5

5.5 Axial Distance above Bottom [inch]

Se nge resiioeeeeoneeaeeaaarsse i~tress heozZle o a-A niltese h.-el cto o

h in h

-~av ale i

h aa"a metelwad e

rm eeI nu p

aa ndh 4ac qaN3nSitC nhnis

,1,w1-'N#,-e-amjtot fthe at a Euaa ig e

Data:

0.996 1.794 2.434 2.946 3.356 3.685 3.822 3.958 4.095 4.231

-2.696

-0.898 16.369 32.337 32.897 22.418 11.456 5.786 1.689

-0.207

-4.363

-3.157 12.049 25.967 26.895 24.04 17.713 13.749 11.142 10.05

-5.71

-5.009 9.098 21.347 24.305 25.793 24.721 24.907 24.388 24.642

-7.053

-5.653 6.045 16.296 26.191 38.469 41.335 44.824 45.417 44.414

-8.174)

-5.545 1.522 11.16 32.374 47.275 55.712 54.092 55.597 58.862)

Axl:= Data ID:= Data (5)

OD: Data RID:= regress(Axi,ID,3)

ROD:= regress(Axl,OD,3)

Developed by:

Verified by:

IDeveloped by Venfied by. I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page 5 of 10 Engineering Report M-EP-2003-004-00 FLCntr:= BZ - I Flaw Center above Nozzle Bottom ULStrs.Dist - BZ IflCStrs.avg =

20

_sIn eVI IR;s"Wo 0

ffi Sat Aug 09 11:44:49 AM [ It 1".

Developed by:

Verified by:

IDeveloped by.,

Verified by I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page 6 flO Engineering Report M-EP-2003-004-00 PropLength = 2.141:

Flaw Length vs. Time PF ccj,3 1.5

-01 0.5 0'_05__

-0.5 0

0.5 I

Entergy Model 1.5 2

2.5

3 3.5 4-

.4.5 5

TWCpwVC Operating Time {years})

Increase in Half Length 2

kIIu I r ICZ 1.5

1 0.5

~OL

)0I 0.5

I 1.5 2 -

2.5,

Operating Time {Years},

3 3.5

. :4 7 D

e v e l o p e d b y :

V e r i f i e d b y : ~~~~

IDeveloped by:

Verified by I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page 7 of 10 Engineering Report M-EP-2003-004-00 Developed by:

Verified by:~~~~

IDeveloped by Verified by: I C 07

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page 8 of 10 Engineering Report M-EP-2003-004-00 TXVC Twc XVCPWSCC(

,6)

-6.011

-6.011 WCpwsC; j7)

-1.562

-1.562 Twcpwscc( 8)

-3.789

-3.789 Developed by:

Verified by:

IDeveloped by.

Verified by. I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page 9 of 10 Engineering Report M-EP-2003-004-00 Hoop Stress Plot 50

.3

,, 3 0 10

-10._ -

C3

! -4

-6

-7 2

3 4

5 Distance from Nozzle Bottom (inch) l______

o 0 S u rfa c e S IF ID S u rface S IF A ve ra g e S IF 0

1 2

O p rertin g T ime (ye ars )

3 4

Developed by:

Verified by:

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 21 Page 10 of 10 Engineering Report M-EP-2003-004-00 0.3 0.1 I -.

-0.3, s..

I

.D _

0 1

2 Operafing Tkm~ fyearsl 3

4 Developed by:

Verified by:

IDeveloped by Verified by. I

Entergy Operations Inc.

Centra I Engineering Programs Appendix C; Attachment 22 Page 1 of 11 Engineering Report M-EP-2003-004-00 Primary Water Stress Corrosion Crack Growth Analysis ID flaw; Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-11707; July 1992.

2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Waterford Steam Electric Station Unit 3 Component: Reactor Vessel CEDM -"49.7" Degree Nozzle, "O" Degree Azimuth, 1.544" above Nozzle Bottom Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "RmIt" - between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

ID Surface Flaw LP In E

~~

~~~~

=

IMI

_~I011I pe x

or ress sr sEds is iA-distane 0 e ozzle-o o~~~~~~~~§ M',

Developed by:

J. S. Bnhmadesam Valified by.-

B. C. Gray

Entergy Operations Inc.

Appendix C; Attachment 22 Central Engineering Programs Page 2 of 1 1 i

u te-t e ion ow-re aans =constanfit ESua- -a ou nt ec an n H HUt at~a:_

Engineering Report M-EP-2003-004-00 07PMM

_lee Litial.law

~enal intia-F 'EaDe~

I fl t 1bTWD 6t Esi nic.3!erati ressue in ernial lteration iimi toir(rac rowtk'iloot simaeo era in eme eaur I_,.=.._..

A==.z7-NM A MTTO_M

-~i.nP I --.

'.fl I%O5 fl4t I *VII '. dIV

VtflEt4f I&.-tWS IJdS4,S S e6ra-aciva io-ner 735Q c

owt R

ern emaeo ai aa od 0*

2 id Rid 2

t:= RO-Rid t

Rm : Rid+ -

Timopr :=Years-365-24 CFinhr :=1.417* 105 Timopr Cblk :=-

Ilim PMtblk :=

50 L

Co := -

Rm R._

O ig I(TI._eI96 C 01:e1.103 10-3 T+5.7Tref+459.67).I cXOC Temperature Correction for Coefficient Alpha Developed by:

J. S. Brihmadesam Verfied by:

B C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 22 Page 3 of 11 Engineering Report M-EP-2003-004-00 Co Col 75 th percentile MRP-55 Revision 1 rSess a

AllData :=

_j~

0 5 A 2 jfiS V l 73 A-I T

O 0

-25.29

-15.59

-9.28

-3.55 2.32 1

r

.0.53

-19.08

-11.52

-6.11

-1.13 3.36 2,

0.96

-14.19

-8.99

-5.33

-1.96 0.54

!3 1.3

-9.51

-6.85

-5.46

-4.21

-6.94 4

1.57

-6.96

-5.72

-5.59

-4.99

-5.58 5

1.79

-4.63

-4.49

-4.57 5.41 14.04 6

1.96 7.64 5.02 9.82 40.19 36.74

'7.

2.16 25.32 21.61 33.65 60.26 59.63 8

2.36 33.39 34.29 51.33 80.79 77 t9' 2.56 33.39 37.9 52.63 84.39 84.92

,10 2.76 31.76 39.61 54.28 79.77 85.21 11 2.96 28.79 39.67 53.11 65.06 66.06 AXLen= AllData()

= AlIDatae')

ODA11 := AllData(5)

Developed by:

J. S. Bnihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Progranms Appendix C; Attachment 22 Page 4 of 11 Engineering Report M-EP-2003-004-00

')K-cRiF'v'1n'q'TRP'MF6 R-RIFINIFIR-11f !tfn1N-PL6F-wfVh -PrWhirin TIANh-P-Witi I

u

-A"' -_

ft-40-K-K-11-Ail '9.5-

..I - r...- -.

I......-

.I 1... -.............- -..-...- - - -

1. -.. I... I - - -.- -

re e

iI e

ocan ionine Pieht~fXeSaS;wi

=

$4a.it ibv be e W

esenIn0theMEgMOn o-Ile e

oins he YIrs -

or e ec-o n-drax e

nouse hils b1diiF=the eft' o

hc-

elect 'Goy Se ect=W Is i

~e ow to~hef iof the da aua e ent ggthen ti7iexd eterheiu.

Data :=

0

-25.293 0.531 -19.083 0.956 -14.191 1.297

-9.505 1.57

-6.96 1.788

-4.629 1.963 7.642 2.163 25.317 2.364 33.389 2.563 33.392 2.764 31.76

-15.585 -9.281

-3.55 2.324

-11.521 -6.114 -1.13 3.359

-8.992

-5.326 -1.956 0.535

-6.849

-5.457 -4.207 -6.943

-5.721

-5.585

-4.994 -5.582

-4.487

-4.569 5.408 14.041 5.023 9.816 40.193 36.736 21.609 33.649 60.257 59.632 34.286 51.327 80.788 77.004 37.9 52.631 84.392 84.917 39.607 54.276 79.772 85.213)

AxI := Data(0)

MD:= Data(3)

ID:= Data(')

TQ := Data(4)

QT := Data(2)

OD:= DataK5)

RID := regress(Axl,ID,3)

RQT := regress(Axl,QT,3)

ROD := regress(AxI, OD, 3)

RMD := regress(Axl,MD,3)

RTQ := regress(AxI,TQ,3)

Developed by:

J. S. Brihmadesam Verified by.:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 22 Page 5 of 11 Engineering Report M-EP-2003-004-00 FLCntr =

RefPo in t -CO if Val = I RefPoint if Val = 2 RefPoint + CO otherwise UTip := FLCntr+ Co Flaw center Location above Nozzle Bottom Incstrsg = ULStrs.Dist - UTip Ilsr.avg 20 H!sin SsEeWl iF ired I t hlsfIP.i fIn ffi Sat Aug 09 10:59:39 AM 2003 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 22 Page 6 of 11 Engineering Report M-EP-2003-004-00 IProPLength= 0.26 I; b : :- Flaw Growth in Depth Direction I I I i I

I I

, I i

I 0.6 Q

a0

,av 0.4 _

0.2 _

I I

I I.

I o L 0'I I 0.5 :. -

I 1.5 D -

2 2.5

-Operating Time {years}.

3 3.5 4

2 1.5

.0*

1U

.S 0

0.5 0

-1 0 0.5 1.5

. 2 -

2.5 Operating Time {years}

3 3.5 4

Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 22 Page 7 of 11 Engineering Report M-EP-2003-004-00 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray co4

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 22 Page 8 of 11 Engineering Report M-EP-2003-004-00 Developed by:

J. S. Brnhmadesam Verified by:

B. C. Gray CI Q

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 22 Page 9 of 11 Engineering Report M-EP-2003-004-00 CGRsambi(k 8) 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 CGRsambi(k 6)

-0.167

-0.167 CGRsambi 5)

-0.462

-0.462 Developed by:

J. S. Bnhmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central EngineeringProgramns Appendix C; Attachment 22 Page loaf 11 Engineering Report M-EP-2003-004-00

-a--

OD Ho0IIop StrIIe e.l, 40 To offih Zone z A~~~~~~~~~t

,;'t.

, 0g ICC~din ~ ~iii. iZn IDX... 1 2.3 xlallto e

F NIo l

Boto nch L~~~

w ;

L f

i L

ok-;.a J

a;~~~..

0.07 -

0.06 -

C 0.05 -

% 0.04 -

0.03 -

0.02 -

4

............. I---- !-........-

a 1

2 Operaing Time (years) 3 4

Developed by:

J. S. Bihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 22 Page 11 of 11 Engineering Report M-EP-2003-004-00 0.5 -

e 0.3-2 0.1 -

i5 i

-O 3 4-0.3 -

-0.5-l 0

I 2

Operating Time (years) 3 4

4.2 -

t 0-0 4.3 -

I. -0.4 -

rn S Su.. Pint I

-0.5 0

1 2

Operatng Time (years) 3 4

Developed by.

J. S. Bnhmadesam Verified by:

B. C. Gray C \\

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 1 of 11 Engineering Report M-EP-2003-004-00 Primary Water Stress Corrosion Crack Growth Analysis - OD Surface Flaw Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-11707; July 1992.

2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Waterford Steam Electric Station Unit 3 Component: Reactor Vessel CEDM -"49.7" Degree Nozzle, "O" Degree Azimuth, 1.544" above Nozzle Bottom Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rm/t" -- between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

OD Surface Flaw ntetu en-o es-s uo-ne o e na M Is Developed by:

J. S. Brihmadesam Verified by.

B. C. Gray

EDtergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 23 Page 2 of 1 1 Engineering Report M-EP-2003-004-00 ere 10d s 1 h

e tow mn sta torh SES-3-ana s s n Input Data F

!'~~nitia l'~awen t uenl pe-s: n. er-ain !:Xre-s's-urefi ernal umIera era in ear ltera ionllimit fori racl,row'th 00 Esimate7.of erati qem-eratu Oc~~~

6 70~~Vonsa:Vr51n0P S

oeo 0

ou e'.i~

ref -

ee~~1Rf6reneem b

e-1~f6ra;u-Weornformaizfiniq aa e

__od R := 2 id Rid := 2 t:= Ro-Rid t

Rm : Rid+2 Timopr := Years 365-24 CFinhr :=1.417*105 Timopr Cblk:=

-u Pmtblk =

50 L

2 Rm Rt 1 1 3 i-3(T+459.67 Te+5.

cxOc Temperature Correction for Coefficient Alpha Developed by:V J. S. Bnhmadesam Verified by.-

B. C Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 3of11 Engineering Report M-EP-2003-004-00 Co Col 75 th percentile MRP-55 Revision 1 Stress Input Data AllData :=

_ 0 By > Gina ~~2j 3-4 1

X5 o

0

-25.29

-15.59

-9.28

-3.55 2.32

21.

0.53

-19.08

-11.52

-6.11

-1.13 3.36 2

0.96

-14.19

-8.99

-5.33

-1.96 0.54

,3 1.3

-9.51

-6.85

-5.46

-4.21

-6.94 X4 1.57

-6.96

-5.72

-5.59

-4.99

-5.58

>5 -

1.79

-4.63

-4.49

-4.57 5.41 14.04

,6;:',

1.96 7.64 5.02 9.82 40.19 36.74

-T7' 2.16 25.32 21.61 33.65 60.26 59.63 2.36 33.39 34.29 51.33 80.79 77 2.56 33.39 37.9 52.63 84.39 84.92 10 2.76 31.76 39.61 54.28 79.77 85.21

.11 2.96 28.79 39.67 53.11 65.06 66.06 AXLen :=A11Data(O)

IDAII:= AIIData(1)

ODA11:= A11Data(5)

Stress Distribution 100

~=

IDAI Cn ODAI 50 0

-50 L

o 0.5 1

1.5 2

2.5 3

3.5 4

4.5 Developed by:

J. S. Bnihmadesam Verified by:

S. C. Gray

Entergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 23 Page 4 of 11 Engineering Report M-EP-2003-004-00 AXLen Axial Elevation above Bottom [inch]

Data :=

0.531 0.956 1.297 1.57 1.788 1.963 2.163 2.364 2.563 2.764

-19.083 -11.521 -6.114

-1.13

-14.191

-9.505

-6.96

-4.629 7.642 25.317 33.389 33.392 31.76

-8.992

-6.849

-5.721

-4.487 5.023 21.609 34.286 37.9 39.607

-5.326

-5.457

-5.585

-4.569 9.816 33.649 51.327 52.631 54.276

-1.956

-4.207

-4.994 5.408 40.193 60.257 80.788 84.392 79.772 3.JJy 0.535

-6.943

-5.582 14.041 36.736 59.632 77.004 84.917 85.213)

Axl := Data(°)

MD := Data(3)

ID := Data)

TQ := Data(4)

QT = Data(2)

OD:= Data(5)

RID := regress(Axl,ID,3)

RQT:= regress(Axl,QT,3)

ROD := regress(Axl,OD,3)

RM D := regress (Axl, MD, 3)

FLCntr :=

Refpoint - c0 if Val =

RefPoint if Val = 2 RefPoint + c0 other-wis UTip := FLCntr + c0 Developed by:

J. S. Bnihmadesam RTQ := regress(Axl,TQ,3)

I Flaw center Location Location above Nozzle Bottom se ULStrs.Dist - UTip IncStrs.avg =

20 Venfledby:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 5 of 11 Engineering Report M-EP-2003-004-00 osErnU seuire eo

-sIP.i fSat Aug 09 10:21:18AM 2003-Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc Centra I Engineering Progranms Appendix C; Attachment 23 Page 6 of 11 Engineering Report M-EP-2003-004-00 ProPLength = 0.26 Developed by:

J. S. Btihmadesam Verified by:

B. C. Gray

Entergy OperatLions Inc Central Engineering Programs Appendix C; Attachment 23 Page 7of 11 Engineering Report M-EP-2003-004-00 Developed by:

J. S. Bfhmadesam Verified by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 8 of 11 Engineering Report M-EP-2003-004-00 Influence Coefficients - Flaw 0.8 0.7 0

2 0

.2 0

E v_

c cE r-0.6 0.5 0.4 0.3 0.2 0.1 0

0 0.5 I

1.5 2

2.5 Operating time {years}

3 3.5 4

"a` - Tip -- Uniform Ila" - Tip -- Linear "a" - Tip -- Quadratic "a" -Tip--Cubic "c" - Tip -- Uniform "c' - Tip -- Linear tic" - Tip -- Quadratic ti"c" - Tip -- Cubic Developed by.

J. S. Bnhmadesam Verified by:

B. C. Gray C'~tz

Entergy Operations Inc Centra l Engineering Programs Appendix C; Attachment 23 Page 9 of 11 Engineering Report M-EP-2003-004-00 CGRsambi (k, 8) 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 CGRsambi (k, 6) 6.164 6.164 6.164 6.164 6.164 6.164 6.164 6.164 6.164 6.164 6.164 6.164 6.164 6.164 6.164 CGRsambi (k, 5) 4.749 4.749 4.749 4.749 4.749 4.749 4.749 4.749 4.749 4.749 4.749 4.749 4.749 4.749 4.749 4.749 Developed by:

.1 5. Bnhmadesam Verifled by:

B. C. Gray

Entergy Operations Inc Central Engineering Progranms Appendix C; Attachment 23 Page 10 of 11 Engineering Report M-EP-2003-004-00 D Dis trib utio n 80 ~~~~~0D DIs trib utio n Distance from Nozzte Bottom (inces 2' 0.3 1

e

'5t

-031 0

1 2

Operating Time (years) 3 4

Developed by:

J. S. Brihmadesam Veon/ed by:

B. C. Gray

Entergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 23 Page 11 of 11 Engineering Report M-EP-2003-004-00 S ur ace P oint H c-tip)

____ Deptt Pon2 a-t 6.0 -

Uo 0

a g 5.0 -

4.5 0

1 2

Operating Time (years) 3 3

4 Developed by:

J. S. Bnhmadesam Verified by:

B. C. Gray cV\\?

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 1 of 10 Engineering Report M-EP-2003-004-00 Stress Corrosion Crack Growth Analysis Through-wall flaw Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray Note : Only for use when Routsladlt is between 2.0 and 5.0 C(hick-wall Cylinder)

References:

1) ASME PVP paper PVP-350, Page 143; 1997 {Fracture Mechanics Model}

2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Waterford Steam Electric Station Unit 3 Component: Reactor Vessel CEDM -"49.7"degree Nozzle, "0" Degree Azimuth 1.544 inch above Nozzle Bottom Calculation

Reference:

MRP 75 th Percentile and Flaw Pressurized Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

Through Wall Axial Flaw ci f

E I

00 e

o Inc he condn ~~e per mi or e vaua~o~i, hichs e om f el/le ele 9 is Moo~h1~(c~f~radshetcswedlotomtytehi~dmes~nfMMaURMdtonlozWI ofoJbeo ove ozze a a

____iel ozIde16tdri IDeveloped by:

Verified by:l

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 2 of 10 Engineering Report M-EP-2003-004-00

_e~ i i

es wremaMns'cnstan or M

an s

_u

_t_

ec a e

Input Data :

L := 0.25 4.05

'261.

Initial Crack Length TW axial Based on Stress Distribution. Bottom end of Crack to be set @ approximately 1 Oksi.

uE pesi n oe ain 5Eessures~i ternal WMumber`o FfXeratin gear ltedratio i:l mitorrac f

0ro71 00 i aeon5I5 -era'n 00 erau oiK-0ssona :

6 onsanti RP oe~o.-6O rou 6 Ie 1fherna lctiVationerWf or ra-clrowth R

e ere ce e e-rature ornorMa izi ata-d

(-Qg

(

II L

1.103 10 3T+459.67 Te;+459.67)

Co:

e

.a 0c Tinlopr= Years-365-24 od Ro:= -

id 2

t:= Ro -R t

Rm:= Ri + -

2 CFinhr= 1.417-105 Cbk=Timlopr tlim Prntblk:= l-l 50 I

L 2

Developed by:

Verified by:

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 3of10 Engineering Report M-EP-2003-004-00 Stress Distribution in the tube. The outside surface is the reference surface for all analysis in accordance with the reference.

Iests~e nput faM DataAIl fi3v r

5;l 0

-25.29

-15.59

-9.28

-3.55 2.32

.:1 r.

0.53

-19.08

-11.52

-6.11

-1.13 3.36

!2' 0.96

-14.19

-8.99

-5.33

-1.96 0.54 i3' 1.3

-9.51

-6.85

-5.46

-4.21

-6.94 A4 /

1.57

-6.96

-5.72

-5.59

-4.99

-5.58 f5`

1.79

-4.63

-4.49

-4.57 5.41 14.04 6'

1.96 7.64 5.02 9.82 40.19 36.74 2.16 25.32 21.61 33.65 60.26 59.63

-8 2.36 33.39 34.29 51.33 80.79 77

9

2.56 33.39 37.9 52.63 84.39 84.92 AllAxl:= DataATl [)

AIIID = DataAll(I AIIOD = Data~l

'I(5 I J Deeoe by eife y

IDeveloped by.,

Verified by I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 4 of 10 Engineering Report M-EP-2003-004-00 P

ct5 100 75 50 25 0

-25

-50 0 IDE OD 0.5 1

1.5 2

2.5 3

3.5 4

Axial Distance above Bottom [inch]

)istribution distribution 4.5 Data:=

0 0.531 0.956 1.297 1.57 1.788 1.963 2.163 2.364 12.563

-25.293

-19.083

-14.191

-9.505

-6.96

-4.629 7.642 25.317 33.389 33.392

-15.585

-11.521

-8.992

-6.849

-5.721

-4.487 5.023 21.609 34.286 37.9

-9.281

-3.55 2.324 '

-6.114 -1.13 3.359

-5.326 -1.956 0.535

-5.457 -4.207 -6.943

-5.585 -4.994 -5.582

-4.569 5.408 14.041 9.816 40.193 36.736 33.649 60.257 59.632 51.327 80.788 77.004 52.631 84.392 84.917)

Axl:= Data ID:= Data (5:

OD: Data RID:= regress(Axl,ID,3)

ROD:= regress(Axl,OD,3)

IDeveloped by:

Verified by:.

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 5 of 10 Engineering Report M-EP-2003-004-00 FLCntr := BZ - I Flaw Center above Nozzle Bottom ULStrs.Dist - BZ incStrs.avg :=

20 W'S flu Weui eo g Sat Aug 09 11:44:49 AM ZUUj I -

IVeveloped by.

Verified by I I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 6 of 10 Engineering Report M-EP-2003-004-00 ProPLength = 0.42 TWCpwscc 2

1.5 I

C 0

Flaw Length vs. Time 1.5 3

0.51 05 I

-0.5.

I__

0.-

.0.5 I

1.

.2 2.5 3

3.5 4

4

.5 TWCPWSCC(j 1 )

Operating Time (years)

,, Entergy Model Increase in Half Length 0.5___

5.1 r

0 0.5

~

1 1.5 2

2.5 3

3.5 4:

Operating Time (Years)

Developed by:

Verified by:~~~~~

IDeveloped by:

Verified by. I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 7 of 10 Engineering Report M-EP-2003-004-00 lDeveloped by:

Verified by:

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 8 of 10 Engineering Report M-EP-2003-004-00 TWCPN'SCCj 6) 2.804 2.804 2.804 2.804 2.804 2.804 2.804 2.804 2.804 2.804 2.804 2.804 2.804 2.804 2.804 2.804 TWCPWscc (j,7) =

-3.135

-3.135 T-%Vcpwsc'(j 8)

-0.224

-0).224 Developed by:

Verified by:~~~~

IDeveloped by.,

Verified by. I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 9 of 10 Engineering Report M-EP-2003-004-00 Hoop Stress Plot 80 A 40 i:

0

-4 0 2

3 Distance from N ozzle Bottom

{inch) 4 OD Surface SI

-ID Surface SIP

-__ Average SIP i0 Sf 3.

0 1

2 Operating Time {years}

3 DevelopedIby:

Verified by:

IDeveloped by Verified by.- I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 24 Page 10 of 10 Engineering Report M-EP-2003-004-00 0.3 z

r0.1I i -0 I ao

-nq,

0 1 -

2 Operabng Time (years]

3 4

Deeoe by1eife y

IDeveloped by.

Verified by. I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 25 Page 1 of 11 Engineering Report M-EP-2003-004-00 Primary Water Stress Corrosion Crack Growth Analysis ID flaw; Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-11707; July 1992.

2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Waterford Steam Electric Station Unit 3 Component: Reactor Vessel CEDM -"49.7" Degree Nozzle, "180" Degree Azimuth, 1.644" above Nozzle Bottom Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rmtt" - between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

ID Surface Flaw

- o aim on he xce r

ehe asr iee W

E=

~g5 ppe xia Venortress 1is io a

Developed by:

J. S. Bihmadesam Verified by:

S. C. Gray

Entergy Operations Inc.

Appendix C; Attachment 25 Cen tra l Engineering Programs Page 2 of 11 In -uteat a Engineering Report M-EP-2003-004-oo 3

w

=

F litia.aw en ia it 5 aw1 eE es Fi era essure me u eOm erO~-ati e-

-ar I Cteoraion [tmit oIf r-7 r-a c-0o 00~i s~i mate-Of.6 e

'ran emeru Constant,"n!

oPPWC,-~

e6o

-fdI:60,.rou eh!R67d~g Pdeeenc6ffje em Caturefdfffdrno aIin aaD e-dq-ef ~~

-od Ro := od id Rid :

t:= Ro - Rid Rm := Rid Timopr := Years-365-24 CFinhr := 1.417-105 Timopr Cblk:= -Ilim rlim PMtblk :=

50 L

Co := 2 Rm R._

T+459.67 Tref+4967)

CO

= e LI3-16 3 recTemperature Correction for Coefficient Alpha Developed by:

J. S. Brihmadesam Verifed by:

B. C. Gray

Etntergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 25 Page 3 of 11 Engineering Report M-EP-2003-004-00 Co CoI 75 th percentile MRP-55 Revision 1 Setrssnaf AllData :=

r ;E..° ~2P2§isi 9>3 o

',4 m

e 5 Elc 0O 0

-19.26

-10.12

-4.18 0.96 6.11 1

A 2.12

-5.73

-6.47

-6.39

-5.55

-4.56 t-2 3.82 17.6 15.21

-2.9

-18.5

-27.61 5.18 46.67 43.17 21.37

-23.74

-38.61

.,t,4 s

6.28 59.22 56.01 41.66

-5.65

-38.45 5i 7.15 60.41 57.07 52.14 37.52 13.39 6'

7.85 60.15 60.41 60.93 60.02 46.14 r7,r, 8

64.31 66.29 72.43 77.91 61.8 8,

8.15 64.61 66.42 74.37 79.16 62.86

,,9<y 8.3 64.71 67.27 75.08 78.64 67.33 10 8.45 63.83 67.56 76.55 77.75 69.87 11 8.6 64.07 68.26 76.29 82.56 71.21 12 8.75 65.84 68.7 76.84 80.68 75.88 13 8.9 67.55 68.71 76.69 83.46 82.66 AXLen:= A1lData(°)

IDA 11 := AUlData(l)

ODA lI := AltData(5)

Developed by.,

J. S. BSihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 25 Page 4 of 11 Engineering Report M-EP-2003-004-00 0 eaa eentg eaeh e

e a carl bo eas use her ase It8

,i 00 aroTase-he e

g Hi~~~~~~~~~~~eil

.7~~~~~~~~~~gvlu Data :=

0

-19.259 -10.122 -4.181 0.963 6.112 2.122 -5.733

-6.473

-6.392 -5.545

-4.564 3.823 17.602 15.215

-2.897 -18.501 -27.612 5.185 46.67 43.171 21.37

-23.742 -38.612 6.276 59.222 56.012 41.664

-5.652

-38.455 7.15 60.408 57.07 52.143 37.519 13.387 7.851 60.147 60.41 60.926 60.025 46.141 8

64.307 66.286 72.427 77.908 61.803 8.15 64.615 66.416 74.368 79.161 62.859 8.299 64.71 67.265 75.078 78.64 67.335 8.449 63.827 67.565 76.55 77.75 69.871 8.598 64.066 68.261 76.294 82.56 71.21 8.748 65.836 68.7 76.838 80.68 75.875 8.897 67.546 68.706 76.691 83.462 82.658 )

AxI := Data(0)

MD := Data(3)

ID:= Data()

TQ := Data(4)

QT := Dat2)

OD:= Data (5)

RID := regress(Axl,ID,3)

RQT := regress(Axl,QT,3)

ROD := regress(Axl,OD,3)

RMD := regress(Axl, MD,3)

RTQ := regress(Axl,TQ,3)

Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations hIc.

Central Engineering Programs Appendix C; Attachment 25 Page 5 of 11 Engineering Report M-EP-2003-004-00 FLCntr =

-Co if Val= 1 Flaw center Location above Nozzle Bottom RefPoint if Val = 2 RefPoint + cO otherwise UTip := FLCntr+ co ULStrs.Dist - UTip IncStrs.avg -

20 O isn I s

r eo B

ai M

ffi Sat Aug 09 10:59:39 AM 2003 Developed by:

J. S. Bnhmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 25 Page 6 of 11 Engineering Report M-EP-2003-004-00 PropLength = 6.147

=

4

: - Flaw Growth in Depth Direction l

l

EI I

l Il..

0.6 11 1

u

:

r-

-11 I

I

" '5.

-:0

w. '5 0

L-

. L1)

.E:

0.4 _

0.2 _

I1 1

1 o 0) 0.5

.1 1.5 2

-2.5 Operating Time {years}

3 3.5 2

1.5 _

.=

c

.z_

I4 f.:

':L

- 2 cd

:Z; 1

0.5 _

I..

I I

I

I'

I I

I

.1 I

0

-0.5 :0.5

I 1.5 2

2.5 -

- Operating Time {years} -

3

- -3.5 4..

Developed by:

J. S. Brihmadesam Vefffied by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 25 Page 7 of 11 Engineering Report M-EP-2003-004-00 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 25 Page 8 of I 1 Engineering Report M-EP-2003-004-00 Developed by.

J. S. Stihmadesam Verified by:

B. C. Gray C- -

Entergy Operations Inc.

Centra I Engineering Programs CGRsambi 1.08) 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 1.103 Appendix C; Attachment 25 Page 9 of 11 Engineering Report M-EP-2003-004-00 CGRsambi(k 6)

-3.643

-3.643 CGRsambi

-2.852

-2.8 52

-2.852 Developed by J. S. Bnhmadesam Ventled by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 25 Page 10 of 11 Engineering Report M-EP-2003-004-00

~~~~,.

..\\

. -; -...t;*

I H:si::2:,-St~oo9-C T

W-.:

D p Sitres H

zf Ne o

mpS Ire o

no p S I r I

a.

rT ofI BlIn.d Ze

~r~

' 3 0 I.,

. 6.1 I k SI 2

,3

= ----

S Axial D-istance From NozzleBottom(loch)d nn7.

lw.w, 0.06 -

.c 0.05 -

e0.04 C,

0.03 -

I 0

I 2

Operating Tirne (years) 3 4

Developed by:

J. S. Bnimadesam Venrfled by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 25 Page 11 of 11 Engineering Report M-EP-2003-004-00 0.5 c 0.3 Th C.5.1 -

E c

O -0.3

-0.5 0

1 2

Operating Time (years) 3 4

-2.8 -

-f.-3.0-

¢ -3.8 v

-3.6

-3.4 F =

.iW

,.j.]

I =-

F I

I 0

I 2

Operating Time {years}

i 3

4 Developed by:

J. S. Brnhmadesam Verified by.

B. C. Gray C I (

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 1 of 11 Engineering Report M-EP-2003-004-00 Primary Water Stress Corrosion Crack Growth Analysis - OD Surface Flaw Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-1 1707; July 1992.

2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Waterford Steam Electric Station Unit 3 Component: Reactor Vessel CEDM -"49.7" Degree Nozzle, "180" Degree Azimuth, 1.544" above Nozzle Bottom Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rmft" -- between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

OD Surface Flaw CZa3Mn M-E_*

e ehe rstsbuiose W

s

'85 Developed by:V J. S. Blihmadesam Verified by.-

B. C Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 2 of 11 Engineering Report M-EP-2003-004-00 e2 e ions i i

te eo remain consa or S

ana sisan s oudnot ecnae Input Data :-

Initia aw et E in esi n erai resr i 3

Famnsl C~~~~~~~U~LgrI~raif)rsrd,(tdma' u -meISr ofiO erat in ear teration. imfor frackro oo allegd1 Esmate oG 2 v erating.empera7ur

leltrtnn^n I.tnril:lil 11 I.uvrm Innz rrrw] Hr snrsa:

WW 10%4~14 ItII ILAVI. %,

.MI~V VWWW IN..4Ej JQJ'4 VtJ.It WI AIU~~

Rermnca ivem-erataion erj orralc rowath1MR eerer ce em e

rt6-da-tufd'6re rnaiftizinc aa9 R

= od Rid := id Rid T=

t:= R - Rid t

RIM:=Rid + -2 Timopr:= Years-365-24 CFinh

= 1.417-105 Timopr Cblk

'=

rimn Prntblk 50 s

L co := 2 Rm Rt :=-

r Qg 1

1 i.i03 _o1 C

T+459.67 Tref+4 59.6 7 01l *-

)-%c Temperature Correction for Coefficient Alpha Developed bye J. S. Bnihmadesam Verifiedby.-

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 3 of 11 Engineering Report M-EP-2003-004-00 Co0 = C01 75 th percentile MRP-55 Revision 1 Stress Input Data AllData :=

Elf

/02;Žm X3

4.

B9 B

'0 -0

-19.26

-10.12

-4.18 0.96 6.11

' 2.12

-5.73

-6.47

-6.39

-5.55

-4.56

,2.

3.82 17.6 15.21

-2.9

-18.5

-27.61

3 5.18 46.67 43.17 21.37

-23.74

-38.61

.'4 6.28 59.22 56.01 41.66

-5.65

-38.45 5

7.15 60.41 57.07 52.14 37.52 13.39

6.

7.85 60.15 60.41 60.93 60.02 46.14 8

64.31 66.29 72.43 77.91 61.8

,z8 8.15 64.61 66.42 74.37 79.16 62.86 9

8.3 64.71 67.27 75.08 78.64 67.33

.10 8.45 63.83 67.56 76.55 77.75 69.87 11 8.6 64.07 68.26 76.29 82.56 71.21 12 8.75 65.84 68.7 76.84 80.68 75.88 13 8.9 67.55 68.71 76.69 83.46 82.66 14 9.05 68.52 68.19 74.93 84.39 80.56 AXLen:= AllData(°)

IDAII:

AlIData(1) 0DA11:= AlIDatP)

Stress Distribution 100 V) c)

IDAII ODAll 50 0

-50 0

1 2

3 4

5 6

7 8

9 10 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Itic Central Engineering Prograns Appendix C; Attachment 26 Page 4 of 11 Engineering Report M-EP-2003-004-00 AXLen Axial Elevation above Bottom [inch]

Meyjg e reMs uo e

egegionin e

WAReoe eaa aersn eret. isestoeoneseialrdsbtonhaaeJreorrsse stres t he nzzle~o~oand 9ense-tese e

cto o

eecinnh Wat cadequa' g S uft-oon hn's-er th a eoe oeac a

g l

as e~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

W 7'-

r 0

-19.259 -10.122 -4.181 0.963 6.112 )

2.122 -5.733 3.823 17.602 5.185 46.67 6.276 59.222 7.15 60.408 7.851 60.147

-6.473

-6.392 -5.545

-4.564 15.215

-2.897 -18.501

-27.612 43.171 21.37

-23.742 -38.612 56.012 41.664

-5.652

-38.455 57.07 52.143 37.519 60.41 60.926 60.025 Data :=

8 64.307 66.286 72.427 77.908 8.15 64.615 8.299 64.71 8.449 63.827 8.598 64.066 8.748 65.836 66.416 74.368 79.161 67.265 75.078 78.64 67.565 76.55 77.75 68.261 76.294 82.56 68.7 76.838 80.68 68.706 76.691 83.462 13.387 46.141 61.803 62.859 67.335 69.871 71.21 75.875

\\8.897 67.546 82.658 )

AxI := Data(°)

MD:=Data~j/

ID := Data(')

TQ := Data(4)

QT = DataK2)

OD :=Data(5)

RID := regress(Axl,ID,3)

RQT:= regress(Axl,QT,3)

ROD := regress(Axl, OD, 3)

RMD := regress(Axl,MD, 3)

RTQ := regress(Axl,TQ,3)

FLCntr RefPo int - c0 if Val = I Flaw center Location Location above Nozzle Bottom RefPoint if Val = 2 RefPoint + c0 otherwise UTip := FLCntr + co ULStrs.Dist - UTip IncStrs.avg =

20 Developed by:e J. S. Bnlhmadesam Vefified by B. C. Gra.y

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 5 of 11 Engineering Report M-EP-2003-004-00

=sern e

ire eon WI Qoin ffi Sat Aug 09 10:21:18 AM 2003 -

Developed by:e J. S. Blihmadesam Verffied by.-

S. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 6 of 11 Engineering Report M-EP-2003-004-00 ProPLength 6.147 Developed by:

J. S. Bihmadesam Verdfed by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 7 of 11 Engineering Report M-EP-2003-004-00 Developed by:

J. S. Brihmadesam Venfled by B. C Gray C I

Entergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 26 Page 8 of 11 Engineering Report M-EP-2003-004-00 Influence Coefficients - Flaw 0.8 0.7 0

.U 0.6 0.5 0.4 0.3 0.2 0.1 0

........ I.................... 4..........-..................... -........................... 4............................... 1..........................................................................................................................

0 0.5 I

1.5 2

2.5 Operating time {years}

3 3.5 4

"a" - Tip -- Uniform "a" - Tip -- Linear "a" - Tip -- Quadratic "a" - Tip -- Cubic "c" - Tip -- Uniform "c' - Tip -- Linear "c" - Tip -- Quadratic "c" - Tip -- Cubic Developed by.

J. S. Brihmadesam Verified by:

B. C. Gray C-Z-

Entergy Operations Irc Central Engineering Programs Appendix C; Attachment 26 Page 9 of 11 Engineering Report M-EP-2003-004-00 CGRsambi 8) 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 0.827 CGRsambi (k,-6)

-2.722

-2.722 CGRsambi

-2.75)

-2.797

-2.797 Developed by:

J. S. Blihmadesam Verified by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 10 of 11 Engineering Report M-EP-2003-004-00 F

I Th D Is T.bhI.i 20 1~~~~~

DItrbu i Distance from Nozzle Bottom Cinches) tto

,:Q W I

-~ 0.3 r2o1

.9 0.1'-

a

} -0.1 U, -0.3 -

0 1

2 Operating Time (years) 3 4

Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 11 of 11 Engineering Report M-EP-2003-004-00

.2.72 8 278

-2.80 -

Surface Point lc-tip) l-Depth Point d tip 0

1 2

Operating Time (years) 3 4

Developed by:

J. S. Brnhmadesam Verifed by:

B. C. Gray

ML032790383

Contents

Text

References:

lim PMtblk :

References:

CoI 75 th percentile MRP-55 Revision 1 Stress Input Data AllData :

References:

Reference:

References:

References:

References:

Reference:

References:

References:

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ML032790383

Text

References:

lim PMtblk :

References:

CoI 75 th percentile MRP-55 Revision 1 Stress Input Data AllData :

References:

Reference:

References:

References:

References:

Reference:

References:

References:

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