ML040540690
| ML040540690 | |
| Person / Time | |
|---|---|
| Site: | Arkansas Nuclear  |
| Issue date: | 02/02/2004 |
| From: | Entergy Operations |
| To: | Document Control Desk, Office of Nuclear Reactor Regulation |
| References | |
| CNRO-2004-00008 M-EP-2004-001, Rev 0 | |
| Download: ML040540690 (87) | |
Text
Entergy Operations Inc.
Centra I Engineering Programs Appendix C; Attachment 19 Page 1 of 11 Engineering Report M-EP-2004-001 -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-1 1707; July 1992.
- 2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"26.2" Degree Nozzle, "Mid-Plane" Azimuth 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.
ID Surface Flaw Developed by:
J. S. Blihnadesam Verified by:
B. C. Gray C, (9 _
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 19 Page 2 of 11 Engineering Report M-EP-2004-001 -00 M
I od Ro := 2 id Rid :=-
t:= Ro-Rid t
Rm:=Rid+ 2 Timopr := Years-365-24 CFnhr := 1.417-105 Timopr hrim Ihblim I Pmntblk := l50l L
Co 0
=
RIM Rt :=-
-Qg
_I_
I L 1.103 10-3 T+459.67 Tref+459.67)
CO= Co
,01a 0 c Temperature Correction for Coefficient Alpha 75 th percentile MRP-55 Revision 1 Developed by.
J. S. Brihmadesam Verifed by:
C. Gray C I O A-
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 19 Page 3 of I 1 Engineering Report M-EP-2004-001 -00
Ml AllData :=
0
-4.88
-6.34
-7.28
-8.26
-9.77 0.73
-3.14
-4.26
-5.32
-5.66
-5.28 1.31 11.24 8.85 6.94 4.58 0.55 1.78 27 23.32 18.34 11.84 5.76 2.15 31.38 25.44 22.1 20.12 17.77 2.45 24.26 22.52 23.16 29.7 38.66 l
2.7 13.02 18.87 23.53 37.76 47.52 l
2.86 3.33 13.25 24.4 40.28 56.58 w
3.02
-1.38 11.18 24.27 42.02 57.85 AXLen - AllData(°)
IDAI := AllDataWl ODAl := AllData(5)
RefPo in t = 0-875 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray c I (P
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 19 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=
0
-4.881 0.729 -3.137 1.312 11.237 1.78 26.997 2.155 31.378 2.455 24.259 2.695 13.023 2.857 3.329 3.02
-1.382
-6.344 -7.277 -8.257 -9.768")
-4.259 -5.323 -5.657 -5.284 8.853 6.944 4.582 0.547 23.318 18.343 11.84 5.76 25.438 22.099 20.121 17.774 22.52 23.163 29.696 38.662 18.873 23.528 37.756 47.515 13.248 24.402 40.285 56.577 11.182 24.275 42.021 57.851 )
AxI := Data(0)
MD:= Data(3)
ID := Data()
TQ := Data(4)
QT := Data(2)
OD:= Data(5)
RID := regress(Axl, ID, 3)
RQT:= regress(Ax1,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 CaItsZ
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 19 Page 5 of 1 1 Engineering Report M-EP-2004-001-00 FLCntr =
Refpoint -CO if Val =
RefPoint if Val = 2 RefPoint + cO otherwise Flaw center Location above Nozzle Bottom UTip := FLCntr + CO Inlc~st.avrg ULStrs.Dist - UTip 20 W11MN n ESU
- 6) Sat Aug 09 10:59:39 AM 2003 ProPLength = 1.645 Developed by:
J. S. Snhmadesam Velirled by.-
B. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 19 Page 6 of 11 Engineering Report M-EP-2004-001 -00 0.6 U
C 0.
2 0.2 0
0 2 _
2 Flaw Growth in Depth Direction I
I I
I I
II I
I I
I I
IIII I
0.2 0.4 0.6 0.8 1
Operating Time 1.2
{years}
1.4 1.6 1.8 1.5 0
C To c
0t-T.,
lI*
0.5 t I
I I
I I
I I
I I
I I
I I
I I
I I
I 0
-0.5
-1 0 0.2 0.4 0.6 0.8 1
Operating Time 1.2
{years}
1.4 1.6 1.8 Developed by:
J. S. Bnhmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 19 Page 7 of 11 Engineering Report M-EP-2004-001-00 Developed by.
J. S. Bnhmadesam Verified by.
B. C. Gray
Entergy Operations Inc.
Appendix C; Attachment 19 Engineering Report Central Engineering Programs Page 8 of 11 M-EP-2004-001-00 Developed by.
Verified by J. S. Brihmadesam B. C. Gray C '6Lf-
Etitergy Operations Inc.
Central Engineering Programs CGRsambi(
8) 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 Appendix C; Attachment 19 Page 9 of 1 1 Engineering Report M-EP-2004-001-00 CGRsambi(k 6) 1.4431 143 1.443 1.443 1.443 1.443 1.443 1.443 1.443 1.443 1.443 1.443 1.443 1.443 1.443 1.443 CGRsambi 1.186 1.186 1.186 1.186 1.186 1.186 1.186 1.186 1.186 1.186 1.186 1.186 1.186 1.186 1.186 Developed by:
J. S. Blihmadesam Vendfed by:
B. C. Gray
Entergy Operations hIc.
Central Engineering Programs l
o OD HoC 50
.,Pd 30 Topd
- 0,
w Appendix C; Attachment 19 Page 10 of 11 Engineering Report M-EP-2004-001 -00 AMal Distance From Nozzte Bottom (incht 0 8 02 0.0 05 1.0 Operating Time (years) 1.5 20 Developed by:
J. S. Bnhmadesam Venfled by:
B. C. Gray
Entergy Operations Inc.
Centra I Engineering Programs I F OD Hr~
I-
[T Hoc i
T-f I.
10
-10 Appendix C; Attachment 19 Page 10of 11 Engineering Report M-EP-2004-001 -00 0.0 0.5 1.0 1.5 2.0 2.5 3.0 Adial Distance Fron Nozzle Bottm {tinch) 0.6 0.4 CS) 0.2 Ann 0.0 0.5 1.0 Operating Time {years) 1.5 2.0 Developed by:
J. S. Blihmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 19 Page 11 of 11 Engineering Report M-EP-2004-001 -00 0.5
- 0.4 2 0.3 TI i 0.2 C(0 00o.1-
.o,
0.0 0.5 1.0 Operating Tine {years}
1.5 2.0 1.45 -
p 1.40 1.35
' 1.30 no U 1.25 1.20 1.151 I
0.0 0.5 1.0 Operating Tine (years) 1.5 2.0 Developed by:
J. S. Bnihmadesam Verified by:
B. C. Gray CI&5;-
A.....
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 1 of 11 Engineering Report M-EP-2004-001-00 Primary Water Stress Corrosion Crack Growth Analysis - OD Surface Flaw Developed by Central Engineering Programs, Entergy Operations Inc.
Developed by: J. S. Brihmadesom 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 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"26.2" Degree Nozzle, "Mid-Plane" Azimuth 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 Developed by:
J. S. Brlhmadesam Verified by.
B. C. Gray C 1(G
Entergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 20 Page 2 of 11 Engineering Report M-EP-2004-001 -00 Input Data :-
M M
od R := 2 id Rid:
2 t := Ro-Rid t
Rm :=Rid+ -
Timopr := Years-365s24 CFinhr := 1.417105 Timopr Cblk:
hlim
'1rn Prntblk :=50 L
Co :=-2 Rm Rt =
t L 1.103 100- 3T+459.67 e
re4
.6
- C Temperature Correction for Coefficient Alpha C0 1 =
Co := Co1 75 th percentile MRP-55 Revision 1 Developed by:
J. S. Brlhmadesam Verifed by:
- 8. C. Gray C
f p91
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 3 of 11 Engineering Report M-EP-2004-001 -00 Stress Input Data AllData :=
0
-4.88
-6.34
-7.28
-8.26
-9.77 0.73
-3.14
-4.26
-5.32
-5.66
-5.28 1.31 11.24 8.85 6.94 4.58 0.55 1.78 27 23.32 18.34 11.84 5.76 2.15 31.38 25.44 22.1 20.12 17.77 2.45 24.26 22.52 23.16 29.7 38.66 2.7 13.02 18.87 23.53 37.76 47.52 2.86 3.33 13.25 24.4 40.28 56.58 3.02
-1.38 11.18 24.27 42.02 57.85 AXLen AIIDat (o) en.-ata IDAII:= AllData(1) 0DA11 := A1lData(5)
RefPoint = 0.875 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray C-1 (P
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 4 of 11 Engineering Report M-EP-2004-001-00 Data :=
0
-4.881 -6.344 -7.277 -8.257 0.729 -3.137 -4.259 -5.323 -5.657 1.312 11.237 8.853 6.944 4.582 1.78 26.997 23.318 18.343 11.84 2.155 31.378 25.438 22.099 20.121 2.455 24.259 22.52 23.163 29.696 2.695 13.023 18.873 23.528 37.756 2.857 3.329 13.248 24.402 40.285
-9.768)
-5.284 0.547 5.76 17.774 38.662 47.515 56.577 )
Axi := Data(°)
MD:= Data"'
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)
RMD := regress(Axl, MD,3)
RTQ:= regress(Axl,TQ,3)
FLCntr RefPoint - c0 if Val = 1 Flaw center Location Location above Nozzle Bottom RefPo in t if Val = 2 RefPoint + c0 otherwise UTip = FLCntr + co lnCStrs.avg =
ULStrs.Dist - UTip 20 Developed by.
J. S. Br/hmadesam Verified by:
B. C. Gray Cq6
Entergy Operatiows hic Central EnSineering Prograns Appendix C; Attachment 20 Page 5 of 11 Engineering Report M.EP-2004-001 -00 M Sat Aug 09 10:21:18 AM 2003 -
Oeveloped by:
J. S. Brihmadesam Verified by:
B. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 6 of 11 Engineering Report M-EP-2004-001-00 ProLength = 1.645 Developed by:
J. S. Brihmadesam Verified by.
B. C. Gray C-N-1.
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 7 of 11 Engineering Report M-EP-2004-001 -00 Developed by:
J. S. Brihmadesam Verified by:
t B. C Gray Ca lmI
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 8 of 11 Engineering Report M-EP-2004-001 -00 0.8 0.7 0.6
'n CA 4) 0
.0 (U
U 4) 0.5 Influence Coefficients - Flaw 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 "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, 172
Entergy Opera tions Inc Central Engineering Prograirts Appendix C; Attachment 20 Page 9 of 1I Engineering Report M-EP-2004-001-00 CGRsambi(k 8) 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 CGRsambi k; 6)
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043
-1.043 CGRsambi(k)
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495
-0.495 Developed by:
J. S. Brihmadesam VeriNed by:
- 8. C. Gray
Entergy Operations hic Central Engineering Prograins Appendix C; Attachment 20 Page 10 ocf 11 Engineering Report M-EP-2004-001-00 30I i
0.0 0.5 1.0 1.5 2.0 2.5 3 0 Dstance from Nozzle Bottom (fmches) 06 04
'5 0
-6 0 2 00 0.5 10 Operating Tme (years) 15 20 Developed by:
J. S. Brihmadesam Vetifled by:
B. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 20 Page 11 of 11 Engineering Report M-EP-2004-001-00
-0.5
-0.
=
Surfare Point f'"4"tp)l Depth Point ("a"- tip)
-7
-0.9 8
-11 0.0 0.5 1.0 Operating Time {Wels) 1.5 2.0 Developed by.
J. S. Blihmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page 1 of 10 Engineering Report M-EP-2004-001 -00 Stress Corrosion Crack Growth Analysis Through-wall flaw Developed by Central Engineering Programs, Entergy Operations Inc.
beveloped by: J. S. Brihmadesam Verified by: B. C. Gray Note : Only for use when Ro 5 1st/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 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"26.2"degree Nozzle, "Mid-Plane" Azimuth 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 BZ := ULStrs.Dist - FSnde.data.sheet Location of Blind Zone above nozzle bottom (inch)
Developed by:
Verified by: l I4 ConeI
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page 2 of 10 Engineering Report M-EP-2004-001 -00 Inout Data :
L := 0.25
-M Initial Crack Length TW axial Based on Stress Distribution. Bottom end to be set @ approximately 1 Oksi.
M S=
I of Crack f
S
=
l l
i S
=
S=
f S
5 10 S
=
Verified by: l I
co := e.103 10
{T+459.67 Tref+459.67,)
Timopr = Years 365 24 od Cblk:=Timpr Ilim Ri:= id 2
t:= Ro - Ri Rm := Ri + -
2 CFinhr:= 1.417 1
'jim Pmtblk:= 15 1= L 2
lDeveloped by:
~~~~~~~~~~~~~~~~~~~~~~~
I...................
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page 3 of 10 Engineering Report M-EP-2004-001 -00 Stress Distribution in the tube. The outside surface is the reference surface for all analysis in accordance with the reference.
DataAIl :=
I 0
4.88
-6.34
-7.28
-8.26
-9.77 0.73
-3.14 4.26
-5.32
-5.66
-5.28 1.31 11.24 8.85 6.94 4.58 0.55 1.78 27 23.32 18.34 11.84 5.76 2.15 31.38 25.44 22.1 20.12 17.77 2.45 24.26 22.52 23.16 29.7 38.66 27 1.2 18.87 23.53 37.76 47.52
.86 3.33 13.251 24.4 40.28 56.58 3.02
-1.38 11.18 24.27 42.02 57.85 AllAxl:= DataAll ° AIIID:= DataAIl AIIOD:= DataAIl5 Developed by:
Verified by:
C 1-7 Ce
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page4of10 Engineering Report M-EP-2004-001-00 60 46.67 33.33 v)
S 20 6.67
-6.67.
-20 0
0.5 ID Distribution
.OD distribution 1
1.5 2
2.5 3
Axial Distance above Bottom [inch]
3.5 BZ = 0.875 Data:=
0
-4.881 -6.344 -7.277 -8.257 -9.768) 0.729 -3.137 -4.259 -5.323 -5.657 -5.284 1.312 11.237 8.853 6.944 4.582 0.547 1.78 26.997 23.318 18.343 11.84 5.76 2.155 31.378 25.438 22.099 20.121 17.774 2.455 24.259 22.52 23.163 29.696 38.662 2.695 13.023 18.873 23.528 37.756 47.515 2.857 3.329 13.248 24.402 40.285 56.577)
Axl:= Data I)
ID := Data (5)
OD:=Data RID:= regress(Axl, ID,3)
ROD:= regress(Axl, OD, 3)
Developed by:
Verified by:
Cr17
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page 5 of 10 Engineering Report M-EP-2004-001-00 FLCntr:= BZ - I Flaw Center above Nozzle Bottom ULStrs[)ist - BZ lcStrs.av.g 20
_s0I 0d ISP I
ffi Sat Aug 09 11:44:49 AM 2003 Develped y:
Vrifid by lIDeveloped by:
Venried by. I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page 6 of 10 Engineering Report M-EP-2004-001 -00 ProPLength = 1.82 Flaw Length vs. Time 1.5 I C)
,' TWCpvscc j,3 I
c:
0.5 0
-0.5 CI 0.2 0.4 0.6 0.8 1
1.2 1.4 1.6 1.8 TWCPNscc j 1)
Operating Time. (years)
Entergy Model Increase in Half Length 2
u C-Sb u.S r-1.5 0.5 0 ()
0.2 0.4 0.6 0.8 1
1.2 Operating Time (Years}
1.4 1.6 1.8 Developed by:
Verified by:
lIDeveloped by.
Venfied by.:
I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page 7 of 10 Engineering Report M-EP-2004-001 -00 IDeveloped by:
C fl~
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page 8 of 10 Engineering Report M-EP-2004-001-00 TVC
=
TWCpNyscc OA =
(2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276
-2.276 TWCPvscc.7) =
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108
-1.108 TWCPvScc(j, ) =
-1.701
-1.701
-1.701
-1.701
-1.701
-1.701
-1.701
-1.701
-1.701
-1.701
-1.701
-1.701
-1.701
-1.70 1
-1.70 1
-1.701 Developed by:
Verified by:
IDeveloped by.,
Venifed by:- I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page 9 of 10 Engineering Report M-EP-2004-001-00 Hoop Stress Plot U,
0.0 0.5 1.0 1.5 2.0 2.5 3.0 Distance from Nozzle Bottom (inch)
-1.2 -
¢ I
-1.6 -
.t i
-2.0 -
A ODSurfaceSF
-__ ID Surface SIF
-__ Average SIF 0.0 0.5 1.0 Operating Time (years) 1.5 2.0 IDeveloped by:
cll 2 9 l
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 21 Page 10 of 10 Engineering Report M-EP-2004-001-00 06 -
S 0 4 -
02 -
00 -
00 05 10 Operbng Time (years) 15 2.0 Developed by:
Verified by:
lIDeveloped by.,
Venfied by. I
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 22 Page 1 of 11 Engineering Report M-EP-2004-001 -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-1 1707; July 1992.
- 2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"38.5" Degree Nozzle, "Downhill" Azimuth Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rmlt" - 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 0
Developed by.
J. S. Bnihmadesam Verified by.
S. C. Gray C
I ~(3
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 22 Page 2 of 11 Engineering Report M-EP-2004-001 -00 M
M od R.
2 id Rid:= 2 t:= Ro - Rid t
Rm :=Rid+ -2 Timopr :=Years*365*24 CFinhr := 1.417105 Timopr Cblk:= -
hlim Irim PMtblk :=
50 L
Rm Rt F
-Qg
('1 1 I Tf C =eL 1.0 10~T496 ref+4 96 )J*°C0 Temperature Correction for Coefficient Alpha Co:= Co0 75 th percentile MRP-55 Revision 1 Developed by:
J. S. Bnhmadesam Verified by:
B. C. Gray
, I.-
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 22 Page 3 of 11 Engineering Report M-EP-2004-001 -00 AllData :=
0
-27.26
-26.57
-25.02
-20.84
-15.55 0.36
-8.66
-3.92
-2.29
-3.37
-2.7 0.64 1.5 3.94 8.57 6.53 3.17 0.87 18.44 16.97 16.88 13.14 6.56 1.05 27.56 27.01 28.04 24.61 19.61 1.2 24.02 27.99 34.12 49.12 53.8 1.31 18.79 26.7 37.4 54.73 56.19 1.46 17.64 25.57 39.71 56.37 66.86 1.61 19.16 26.13 38.39 55.37 77.31 1.76 21.4 25.01 37.32 51.05 66.31 AXLen:= AlIData(°)
IDAiII:= AIIData(l)
ODAI := AllData(5)
RefPoint = 0.875 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray C I %-
Entergy Operations Inc.
Centra I Engineering Programs Appendix C; Attachment 22 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=
0 0.355 0.64 0.868 1.051 1.198 1.315 1.463 1.61
-27.262
-8.663 1.497 18.44 27.564 24.021 18.785 17.64 19.157
-26.568
-3.917 3.941 16.972 27.006 27.991 26.702 25.575 26.134
-25.018
-2.294 8.574 16.875 28.041 34.116 37.396 39.708 38.392
-20.841
-3.371 6.533 13.139 24.607 49.117 54.727 56.365 55.373
-15.546 )
-2.704 3.174 6.557 19.607 53.8 56.187 66.86 77.311 )
AxI := 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)
RMD := regress(Axl, MD, 3)
RTQ:= regress(Axl,TQ,3)
Developed by.
J. S. Blihmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 22 Page 5 of I1 Engineering Report M-EP-2004-001-00 FLCntr =
Refpot -CO if Val = I RefPoint if Val = 2 RefPoint + cO otherxvise Flaw center Location above Nozzle Bottom UTip := FLCntr+ CO IfnCStrs.avg =
ULStrs.Dist - UTip 20 s
rei ffi Sat Aug 09 10:59:39 AM 2003 PropLength = 0.265 Developed by:
J. S. Brihmadesam Verified by:
S. C. Gray
Entergy Opera tions Inc.
Central Engineering Prograns Appendix C; Attachment 22 Page 6 of 11 Engineering Report M-EP-2004-001 -00 Flaw Growth in Depth Direction 0.6 C
0 I.-
2 3
It 0.4.
I I
I I
I I
I I
I I
I I
I I
I I
I I
0.2.
0 0 0.2 0.4 0.6 0.8 1
1.2 Operating Time {years}
1.4 1.6 1.8 2
1.5 I Q
-C I-2U I
0.5 1 I
I I
I I
I I
I I
I I
I I
I I
I I
I 0
-0.5
- I so 0.2 0.4 0.6 0.8 1
Operating Time 1.2
{years}
1.4 1.6 1.8 Developed by:V J. S. Bnihmadesam Vefrifed by.
B. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 22 Page 7 of 11 Engineering Report M-EP-2004-001-00 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray Cf q..
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 22 Page 8 of 1 1 Engineering Report M-EP-2004-001 -00 Developed by:
J. S. Brihmadesam Verified by.
B. C. Gray
Entergy Operationis Sic.
Cenftral Engineering Programszs Appendix C; Attachment 22 Page 9 of 11 Engineering Report M-EP-2004-001 00 CGRsambi x) 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 CGRsambi 8.464 9.195 9.195 9.195 9.195 9.195 9.195 9.195 9.195 9.196 9.196 9.196 9.196 9.196 9.196 9.196 k, 6)
CGRsambi(k5 7.439 8.038 8.039 8.039 8.039 8.039 8.039 8.039 8.039 8.039 8.039 8.04 8.04 8.04 8.04 8.0 Developed by:
J. S. BnShmadesam Verifed by:
B. C. Gray
Ebtergy Operations Inc.
Central EnIgireerinig Programs 80-I so -
T 40
° 20 M
0.40 Appendix C; Attachment 22 Page 10cf 11 Engineering Report M-EP-2004-001-00 0.3 0.8 1.3 1.8 Axial Distance From N ozzle Bottom (inch) 08 -
I02 -
0 2 -
onn 00 05 10 Operabng Tin.e (years) 1.5 20 Developed by:
J. S. Bnhmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 22 Page 11 of 11 Engineering Report M-EP-2004-001 -00 0.5
- O 0-4
.4 T 0.3 -
c 0.2 -
0 a 0.1 -
0.0 0.0 0.5 1.0 Operating Time (years) 2.
1.5 2.0 9.5 -
° 9.0
-f o 8.5 -
A 8.0 SIF Dept= Point SIP Surface Point 7.5 7.0+
0.0 0.5 1.0 Operating Time (years) 1.5 2.0 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray C 1(=-
Entergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 23 Page 1 of 11 Engineering Report M-EP-2004-001-00 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 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"38.5" Degree Nozzle, "Downhill" Azimuth 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 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 2 of 11 Engineering Report M-EP-2004-001-00 Input Data :-
od Ro := 2 id Rid:= -2 t:= Ro - Rid t
Rm :=Rid+ -2 Timopr := Years-365*24 CFinhr := 1.417-105 Timopr Cblk r
him I
I T+459.67 Tref+459.67 rnim PMtblk =
5 L
Co := 2 Rm Rt
-v e
.0OC Co 0
=
Temperature Correction for Coefficient Alpha CO:= Co]
75 th percentile MRP-55 Revision 1 Developed by:
J. 5. Bnhmadesam Verified by B. C. Gray C ' 9
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 3 of 11 Engineering Report M-EP-2004-001-00 Stress Input Data AllData 0
-27.26
-26.57
-25.02
-20.84
-15.55 0.36
-8.66
-3.92
-2.29
-3.37
-2.7 0.64 1.5 3.94 8.573 3.17 0.87 18.44 16.97 16.88 13.14 6.56 1.05 27.56 27.01 28.04 24.61 19.61 1.2 24.02 27.99 34.12 49.12 53.8 1.31 18.79 26.7 37.4 54.73 56.19 1.46 17.64 25.57 39.71 56.37 66.86 1.61 19.16 26.13 38.39 55.37 77.31 1.76 21.4 25.01 37.32 51.05 66.31 AXLen := AllData(°)
IDAI := AllData(1) 0DA11 := A1lData(5)
Refpoint = 0.875 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray C
V
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=
0 0.355 0.64 0.868 1.051 1.198 1.315 1.463 1.61
-27.262
-8.663 1.497 18.44 27.564 24.021 18.785 17.64 19.157
-26.568
-3.917 3.941 16.972 27.006 27.991 26.702 25.575 26.134
-25.018
-2.294 8.574 16.875 28.041 34.116 37.396 39.708 38.392
-20.841
-3.371 6.533 13.139 24.607 49.117 54.727 56.365 55.373
-15.546)
-2.704 3.174 6.557 19.607 53.8 56.187 66.86 77.311 )
Axl := Data(°)
MD:= Data(3)
ID:= Data(0 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 RefPo in t -c 0 if Val= 1 Flaw center Location Location above Nozzle Bottom RefPo in t if Val = 2 Refpoint + c0 otherwise UTip := FLCntr + CO IncStrs.avg ULStrs.Dist - UTip 20 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray c90
Entergy Operations Inc Central Engineering Progrions Appendix C; Attachment 23 Page 5 of 11 Engineering Report M-EP-2004-001 -00 iSat Aug 09 10:21:18AM 2003 Developed by:
J. S. Blihmadesam Verified by:
B. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 6 of 11 Engineering Report M-EP-2004-001 -00 ProPLength = 0.265 Developed by.
J. S. Bnihmadesam Verified by:
B. C. Gray C 1 q9 I
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 7 of 11 Engineering Report M-EP-2004-001 -00 Developed by.
J. S. Br/hmadesam Verified by.
B. C. Gray C
I 9
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 8 of I 1 Engineering Report M-EP-2004-001 -00 0.8 0.7 0.6 0
0 E
t U
U 0.5 0.4 0.3 Influence Coefficients - Flaw
.I t------- ----------
~~~~~~~.
1----..
i-----
0.2 0.1 0
A A
A A
=
A A
A A
Verified by:
S. C. Gray 0
0.5 1
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 tic" - Tip -- Cubic Developed by.
J. S. Brihmadesam
Entergy Operationis hic Central Engineering Progrants Appendix C; Attachment 23 Page 9 of 11 Engineering Report M-EP-2004-01 -00 CGRsambik 8) 0.621 0.621 0.621 0.621 0.621 0.622 0.622 0.622 0.622 0.622 0.622 0.622 0.622 0.622 0.622 0.622 CGRsambi(k,6) 8.721 10.198 10.198 10.199 10.199 10.2 10.2 10.201 10.201 10.202 10.202 10.202 10.203 10.203 10.204 10.204 CGRsambi (k, 5) 5.989 6.897 6.898 6.899 6.9 6.9 6.901 6.902 6.903 6.904 6.904 6.905 6.906 6.907 6.908 6.908 Developed by:
J. S. Bihmadesam Verified by:
B. C. Gray
Eiuterg 4 y Operations Inc Central Engineering Prognrms Appendix C; Attachment 23 Page 10 of 11 Engineering Report M-EP-2004-0011-00 08 13 Distance from Nozzle Bottom incdres) uzu
' 5 o 0 1i 2
5I 0 10 I
- 00Os 0~
,n nf 4.-
00 05 10 Operating Trre (years) 1.5 20 Developed by:
J. S. Snhmadesam Verified by:
B. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 23 Page 11 of 11 Engineering Report M-EP-2004-001 -00 0.30 0.25 -
020 -
Th
.1 0.15 -
2(3 0.10 0.05 0.00 _
0.0 0.5 1.0 Operating Time {years}
1.5 I Depth Point {"a'-tip}
I Sufac Point I"c"- tl}ber I b 11 U,
0 C5-A_
t 9-U-
Ca-j 7-Threshold WSI
- - -- - - - -I.....
/.
5 0.1 0.6 1.1 Operating Time {years) 1.6 Developed by.
J. S. Brihmadesam Verified by:
B. C Gray 0JqL U
=
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 1 of 10 Engineering Report M-EP-2004-001 -00 Stress Corrosion Crack Growth Analysis Through-wall flaw beveloped by Central Engineering Programs, Entergy Operations Inc.
beveloped by: J. S. Brihlmadesom Verified by: B. C. Gray Note : Only for use when Rosuts/d/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 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"38.5"degree Nozzle, "Downhill" Azimuth 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 BZ := ULStrs.Dist - FSnde.datasheet Location of Blind Zone above nozzle bottom (inch)
Developed by:
Verified by:I C \\,.
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 2 of 10 Engineering Report M-EP-2004-001 -00 Input Data :
L := 0.25 Initial Crack Length TW axial Based on Stress Distribution. Bottom end to be set @ approximately 1 Oksi.
M S
=
I of Crack f
S
=
l l
i
=
S=
f 105 S
S=
Vended by. l I
9 5
_ -Qg
(
1 1
]
Lo 1
.103 10 tT+459.67 Tref+459.67)]
C o :
e O
Timopr:= Years-365-24 od 2
Tifllopr Cblk :=Tl hlim Ri:= id 2
t:= Ro - Ri Rm = Ri + 2 2
CFinhr:= 1.417-1 I u r n Pmtblk:=~5 I
L 2
lDeveloped by:
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 3 of 10 Engineering Report M-EP-2004-001-00 Stress Distribution in the tube. The outside surface is the reference surface for all analysis in accordance with the reference.
DataAIIl 0
-27.26
-26.57
-25.02
-20.84
-15.55 0.36
-8.66
-3.92
-2.29
-3.37
-2.7 0.64 1.5 3.94 8.57 6.53 3.17 0.87 18.44 16.97 16.88 13.14 6.56 1.05 27.56 27.01 28.04 24.61 19.61 1.2 24.02 27.99 34.12 49.12 53.8 1.31 18.79 26.7 37.4 54.73 56.19 1.46 17.64 25.57 39.71 56.37 66.86 1.61 19.16 26.13 38.39 55.37 77.31 1.76 21.4 25.01 37.32 51.05 66.31 AllAxl:= DataAll ° AIIID:= DataAIl AIIOD:= DataAlI 5 Developed by:
Venfied by:
Cc-ll
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 4of10 Engineering Report M-EP-2004-001-00 100 75 vz u) 50 25 0.875 1.315
_...............20 20 10 0
-25
-50 0 0.2 0.4 0.6 0.8 1
1.2 Axial Distance above Bottom [inch]
ID Distribution OD distribution 1.4 1.6 1.8 BZ = 0.875 Data:=
0
-27.262 -26.568 -25.018 -20.841 -15.546) 0.355
-8.663
-3.917
-2.294
-3.371
-2.704 0.64 1.497 3.941 8.574 6.533 3.174 0.868 18.44 16.972 16.875 13.139 6.557 1.051 27.564 27.006 28.041 24.607 19.607 1.198 24.021 27.991 34.116 49.117 53.8 1.315 18.785 26.702 37.396 54.727 56.187 1.463 17.64 25.575 39.708 56.365 66.86 1.61 19.157 26.134 38.392 55.373 77.311 )
Axl:= Data (1)
ID:
Data (5)
OD := Data RID:= regress(Axl, ID,3)
ROD:= regress(Axl, OD,3)
IIDeveloped by:
7j)edbY
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 5 of 10 Engineering Report M-EP-2004-001 -00 FLCntr:= BZ-I Flaw Center above Nozzle Bottom ULStrsI)ist - BZ InCStrs.ag :=
20 IOeS IS-dAMNON ffi Sat Aug 09 11:44:49 AM 2003-Developed by:
Venfied by:
IDeveloped by.-
Verified by: I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 6 of 10 Engineering Report M-EP-2004-001-00 PrOPLcngth = 0.44 Flaw Length vs. Time 1.5 TWCPWC,
E2 pvsc 0
0.5 0
-0 5 I., 0 0.2 0.4 0.6 0.8 1
1.2 1.4 1.6 1.8 TWCPWSCC Operating Time (years)
Enterggy Nlodel U_
UE Z4 U_
u 1.
Increase in Half Length________
2 5
0.440 5.----------------------------------
t 0.
0 0.2 0.4 0.6 0.8 1
1.2 OperatingTime {Years) 1.4 1.6 1.8 Developed by:
Verified by:
IDeveloped by.,
Venried by: I I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 7 of 10 Engineering Report M-EP-2004-001 -00 IDeveloped by:
e'99q
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 8 of 10 Engineering Report M-EP-2004-001-00 TWCP".Scc, 7.553 7.553 7.553 7.553 7.553 7.553 7.553 7.553 7.553 7.553 7.553 7.553 7.553 7.553 7.553 7.553 TWCpwscc(j 7) =
3.763 3.763 3.763 3.763
.3.763 3.763 3.763 3.763 3.763 3.763 3.763 3.763
,3.763 3.763
,3.763
,3.763 TWCpscc (j.8) 8.27 8.27 8.27 8.27 8.27 8.27 8.27 8.27 8.27 8.27 8.27 8.27 8.27 8.27 8.27 8.27 lIDeveloped by:
Venfied by. I Developed by:
Verified by:
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 9 of 10 Engineering Report M-EP-2004-001-00 Hoop Stress Plot 40 2
1& 20 I
Distance forn Nozzle Bottom {inch}
8.7 -
8.2 -
I i77 OD Surface SIF ID Surface SIF I-Average SIF 79-I 0.0 0.5 1.0 1.5 Operating Time {years) 2.0 Developed by:
C.2-0
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 24 Page 10 of 10 Engineering Report M-EP-2004-001 -00 0.5 0.3 Is
- 0.1
-0.3
- 0.5 0.0 a.5 I 0 0 p e ra tin g T im e (y e a rs )
I.5 2.0 Developed by:
Verified by:
lIDeveloped by.
Venfled by. I
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 25 Page 1 of 11 Engineering Report M-EP-2004-001-00 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 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"38.5" Degree Nozzle, "Uphill" Azimuth 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 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray C
4q!
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 25 Page 2 of 11 Engineering Report M-EP-2004-001-00 M
od R.
2 id Rid:= 2 t:= Ro - Rid Rm := Rid+
Timopr := Years 365 24 CFinhr := 1.417 105 Timopr him
'ulrn PMtblk :=
50 L
Co 0 : -y Rm Rt T
1.13 l
3T+459.67 T ef+459.67) co, := e re aOC Temperature Correction for Coefficient Alpha Co := Co]
75 th percentile MRP-55 Revision 1 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray C-,2 o2-
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 25 Page 3 of 11 Engineering Report M-EP-2004-001-00
MMI AlDaa.- -____-
0
-20.71
-13.89
-10.09
-6.78
-2.47 1.32 5.79
-0.12
-6.37
-11.55
-16.26 2.38 20.09 19.42 1.11
-21.71
-29.32 3.23 35.24 33.45 21.85
-18.78
-33.48 3.92 46.8 45.16 37.94 8.37
-15.97 4.46 51.85 48.95 42.42 37.19 32.64 4.9 55.05 50.07 49.8 57.89 55.56 5.12 55.22 51.16 55.73 63.87 70.72 5.34 53.1 55.78 60.81 70.8 73.94 5.56 50.45 53.11 62.73 69.7 72.99 AXLen:= AilData(°)
IDAII := AlIData(1)
ODA1:= AllData(5)
RefPoint = 1.818 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray C.iZ?
03
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 25 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=
0
-20.713 -13.891
-10.091
-6.781
-2.467 )
1.324 5.79
-0.121
-6.365
-11.555 -16.261 2.385 20.088 19.42 1.112
-21.708 -29.318 3.235 35.237 33.451 21.848
-18.777 -33.482 3.916 46.802 45.156 37.936 8.372
-15.972 4.461 51.852 48.945 42.423 37.185 32.638 4.898 55.053 50.07 49.796 57.893 55.558 5.119 55.224 51.157 55.733 63.865 70.724 5.34 53.096 55.783 60.808 70.802 73.937 )
AxI := Data(°)
MD:= Data(3)
ID := Data)
TQ := Data(4)
QT := Data(2)
OD:= Data(5)
RID := regress(Axl, ID,3)
RQT:= regress(Ax1,QT,3)
ROD:= regress(Axl, OD, 3)
RMD := regress(Axl, MD, 3)
RTQ := regress(Ax1,TQ,3)
Developed by:
J. S. Bnhmadesam Verified by:
B. C. Gray C-'7-C) C
Eyttergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 25 Page 5 of 11 Engineering Report M-EP-2004-001 -00 FLCntr :=
RefPont -CO if Val = i Refpojnt if Val = 2 Refpoint + co otherwvise Flaw center Location above Nozzle Bottom UTip = FLCntr+ CO IlncStrs.av~g ULStrs.Dist -UTip 20 NmreoIS01 ffi Sat Aug 09 10:59:39 AM 2003 PropLengtIh = 2905 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-2004-001 -00 0.6 -
u C-IIn 0.4 0
0 2
a, 0.2_
MLL 0
Flaw Growth in Depth Direction II I
I I
I I
I I
I I
I IIII 0.2 0.4 0.6 0.8 1
Operating Time 1.2
{years}
1.4 1.6 1.8 1.5 u
0 L.5 I
0.5 l I
I I
I I
I I
I I
I I
I I
I I
I I
I 0
-0.5 0
0.2 0.4 0.6 0.8 1
Operating Time 1.2 (years}
1.4 1.6 1.8 Developed by:
J. S. Binhrnadesam Verifed by:
B. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 25 Page 7of 11 Engineering Report M-EP-2004-001 -00 Developed by:
J. S. Brihmadesam Verified by:
B. C Gray
( g(2q5
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 25 Page 8 of 11 Engineering Report M-EP-2004-001 -00 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
Central Engineering IProgrants CGRsambi k,8) 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 Appendix C; Attachment 25 Page 9 of 11 Engineering Report M-EP-2004-001 -00 CGRsambi (k, 6) 6.937 6.937 6.937 6.937 6.937 6.937 6.937 6.937 6.937 6.937 6.937 6.937 6.937 6.937 6.937 6.937 CGRsambi 6 4 (k 5) 6.254 6.254 6.254 6.254 6.254 6.254 6.254 6.254 6.254 6.254 6.254 6.254 6.254 6.254 6.254 6.254 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
Central Enigineering Progrizns 7 0 I
.10
.50 Appendix C; Attachment 25 Page 10 of 11 Engineering Report M-EP-2004-001 -00 2
3 4
Axial D istanec From N ozzle S ottom (inch) 06
'~041
,3 02 up 00 05 10 Operatog Twme (years) 1.5 20 Developed by:
J. S. Bnhmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 25 Page 11 of 11 Engineering Report M-EP-2004-001 -00 0.5 c 0.4 I!
c 2! 0.1
.0iI
.S e 0.2 1!
0.0 0.0 0.5 1.0 Operating Time (years}
1.5 2.0 6.9 in o 8.7
.j 6.5 8
6.3 6.1 l-S_
F Depth Point F Surface Point I If 0.0 0.5 1.0 1.5 Operating Time (years) 2.0 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray C *2AS"7
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 1 of 11 Engineering Report M-EP-2004-001 -00 Primary Water Stress Corrosion Crack Growth Analysis - OD Surface Flaw Developed by Central Engineering Programs, Entergy Operations Inc.
Developed by: J. S. Brihmadesom 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 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"38.5" Degree Nozzle, "Uphill" Azimuth 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 0
Developed by.
J. S. Bnhmadesam Verified by:
S. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 2 of 11 Engineering Report M-EP-2004-001 -00 Input Data :-
M od R := 2 id Rid := 2 t:= Ro -Rid t
Rm : Rid+-2 Timopr := Years*365*24 CFinhr := 1.417*105 Timopr Cblk lIirn Prntblk =
50 L
Co := 2 Rm Rt :=
L
-Qg
__l 1.103 lo-3 tT+45967 Tref+459.67)
_0 °c Temperature Correction for Coefficient Alpha C0 1 =
Co := C0 1 75 th percentile MRP-55 Revision 1 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray CZ29
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 3 of 11 Engineering Report M-EP-2004-001-00 Stress Input Data AllData :=
0
-20.71
-13.89
-10.09
-6.78
-2.47 1.32 5.79
-0.12
-6.37
-11.55
-16.26 2.38 20.09 19.42 1.11
-21.71
-29.32 3.23 35.24 33.45 21.85
-18.78
-33.48 3.92 46.8 45.16 37.94 8.37
-15.97 4.46 51.85 48.95 42.42 37.19 32.64 4.9 55.05 50.07 49.8 57.89 55.56 5.12 55.22 51.16 55.73 63.87 70.72 5.34 53.1 55.78 60.81 70.8 73.94 5.56 50.45 53.11 62.73 69.7 72.99 AXLen:= AllData(°)
IDAIl := All~atael) 0DA1l := All~ata(5)
Refpoint = 1.818 Developed by:
J. S. Bnhmadesam Verified by:
B. C. Gray C-a10
Entergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 26 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=
0 1.324 2.385 3.235 3.916 4.461 4.898 5.119 5.34
-20.713 5.79 20.088 35.237 46.802 51.852 55.053 55.224 53.096
-13.891
-0.121 19.42 33.451 45.156 48.945 50.07 51.157 55.783
-10.091
-6.365 1.112 21.848 37.936 42.423 49.796 55.733 60.808
-6.781
-11.555
-21.708
-18.777 8.372 37.185 57.893 63.865 70.802
-2.467 )
-16.261
-29.318
-33.482
-15.972 32.638 55.558 70.724 73.937 )
Axl := Data(°)
(3)
MD: DataJ ID := Data(I)
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 -
if Val = i Flaw center Location Location above Nozzle Bottom Refpoint if Val = 2 RefPoint + C0 otherwise UTip := FLCntr + CO IncStrs.avg ULStrs.Dist - UTip 20 M
Developed by:
J. S. Brihmadesam Verified by.
B. C Gray 2' II
Entergy Operations Inc Central Enginieering Programrs Appendix C; Attachment 26 Page 5 of 11 Engineering Report M-EP-2004-01 -00 n Sat Aug O9 10:21:18 AM 2003-Developed by:
J. S. Brihmadesam Verified by.
S. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 6 of 11 Engineering Report M-EP-2004-001-00 ProLength = 2.905 Developed by.
J. S. Blihmadesam Verified by.
B. C. Gray C.2 12,,.
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 7 of 11 Engineering Report M-EP-2004-001 -00 Developed by' J. S. Bn7hmadesam Verified by:
B. C Gray
\\2
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 26 Page 8 of 11 Engineering Report M-EP-2004-001-00 Influence Coefficients - Flaw 0.8 0.7 0.6 4) 0QO 4) 4)
0 49).E iv c
c E-4) 0.5 0.4 0.3
.................... l.......................................................
. 1..........
0.2 0.1 0
S i
S S
S S
i S
S Verified by B. C. Gray S
0 0.5 I
1.5 2
2.5 Operating time {years}
3 3.5 4
Ila" - 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. 5. Brihmadesam
Entergy Operations IMc Central Engineering Prograins Appendix C; Attachment 26 Page 9 of 11 Engineering Report M-EP-2004-001-00 CGRsambi k, 8) 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 CGRsambi k, 6)
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016
-11.016 CGRsambi
-6.44
-6.445
-6.445
-6.445
-6.445
-6.445
-6.445
-6.445
-6.445
-6.445
-6.445
-6.445
-6.445
-6.445
-6.445 46.445 Developed by:
J. S. Brnhmadesam Verified by:
B. C. Gray
Eastergy Operations IMc Central Enigineering Programs Appendix C; Attachment 26 Page 10 of 11 Engineering Report M-EP-2004-001-00 1 30 In 0
2 3
4 Dotance frorn Nozzle Bottom ninches) 5 a
06 9 0 4
-, 02 e
8 nnf -.
00 05 I0 OperabngTimfe (years) 15 2.0 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-2004-001 -00 I
S-rface Point 'c"-tiol l I Depth Point {a"- ti; v
I
-9 f
-11
-12 0.0 0.5 1.0 Operating Time (yeara) 1.5 2.0 Developed by.
J. S. Brihmadesam Verifed by.
B. C. Gray C<2 5