ML040540681
| ML040540681 | |
| 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: ML040540681 (53) | |
Text
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 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 -"0" Degree Nozzle, "All" 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 OL-.
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 Page 2 of 11 Engineering Report M-EP-2004-001 -00 I
i Input Data :-
MMM M
od R := 2 id Rid := 2 t:= Ro - Rid Rm :Rid + 2 Timopr := Years 365s24 CFinhr := 1.417-105 Timopr Cblk:
-ur Pmtblk =
50 L
Co := 2 Rm Rt
-7 1_103 lo 3 Tref+45967)
Co] := e
.0aC Temperature Correction for Coefficient Alpha Co:= C0 1 75 th percentile MRP-55 Revision 1 Developed by:
J. S. Brnhmadesam Verified by:
B. C. Gray C 43
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 Page 3 of 11 Engineering Report M-EP-2004-001-00 Stress Input Data AllData :=
0
-30.99
-30.92
-31.72
-35.43
-35.97 0.44
-2.37
-4.15
-6.02
-7.41 9
0.79 27.86 23.57 19.7 18 12.78 1.08 42.8 38.7 32.04 24.15 15.99 1.3 47.38 40.95 35.62 31.78 29.73 1.48 48.17 40.84 37.03 40.9 48.51 1.63 43.48 39.76 38.46 47.75 56 1.79 35.07 35.43 38.78 48.73 61.47 1.96 25.7 30.81 38.83 51.73 66.52 2.12 19.18 27.11 38.58 52.69 65.89 AXLen := AIIData(o)
IDAII := AIlDataei) 0DA11 := AllData(5)
Refpoint = 0.589 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray CaL-4
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=
0 0.441 0.793 1.076 1.303 1.484 1.629 1.794 1.959
-30.99
-2.37 27.862 42.802 47.376 48.173 43.475 35.074 25.697
-30.92
-4.15 23.567 38.705 40.949 40.841 39.757 35.427 30.809
-31.719
-6.024 19.705 32.039 35.624 37.026 38.459 38.776 38.834
-35.433
-7.411 17.995 24.149 31.779 40.902 47.748 48.731 51.732
-35.967)
-9.003 12.782 15.988 29.726 48.506 55.999 61.472 66.515 )
Axl := Data(°)
MD:= Data(3)
ID:= DataW 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(AxI, MD, 3)
RTQ:= regress(Axl, TQ,3)
FLCntr Refpoint c0 if Val = I Flaw center Location Location above Nozzle Bottom Refpoint if Val = 2 Refpoint + co otherwise UTip := FLCntr+ co IncStrs.avg :=
ULStrs.Dist - UTip 20 Developed by.
J. S. Brihmadesam Verified by:
S. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 Page 5 of 11 Engineering Report M-EP-2004-001-00 ffi Sat Aug 09 10:21:18 AM 2003 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 Page 6 of 11 Engineering Report M-EP-2004-001 -00 PropLength = 0.865 Developed by.
J. S. Brihmadesam Verified by:
S. C. Gray CLLG
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 Page 7 of 11 Engineering Report M-EP-2004-01 -00 Developed by.
J. S. Bnhmadesam Verified by:
B. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 Page 8 of 11 Engineering Report M-EP-2004-001 -00 0.8 0.7 0.6 RW, C4 U
.0 EE
.0 U4)c) c 0.5 0.4 0.3 Influence Coefficients - Flaw i..........
l--
0.2 0.1 0
4 0
0.5 I
1.5 2
2.5 Operating time {years}
3 3.5 I
"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. Brlhmadesam Verified by B. C Gray C,+
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 Page 9 of 11 Engineering Report M-EP-2004-00100 CGRsambi 8) 0.62 1 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 6) 0.1621 0.162 0.162 0.162 0.162 0.162 0.162 0.162 0.162 0.162 0.162 0.162 0.162 0.162 0.162 0.162 CGRsambi(k 5) 0.589 0.589 0.589 0.589 0.589 0.589 0.589 0.589 0.589 0.589 0.589 0.589 0.589 0.589 0.589 0.589 Developed by:
J. S. Blihmadesam Verified by:
B. C. Gray
Entergy Operations Inc Central Engineering Programs 70' 50 ^'
30 -
1ooE d
nd 2 2
0 I
Appendix C; Attachment 2 Page 10cf 11 Engineering Report M-EP-2004-001 -00 0.0 0.5 1.0 1.5 2.0 Distane from Nozze Bottom (indhe) 0.3 2
I 0.1 R
ai -0. I a
0.0 05 1.0 Opberatng Tilre (years) 1.5 20 Developed by:
J. S. Bnihmadesam Verified by:
B. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 2 Page 11 of 11 Engineering Report M-EP-2004-001 -00 0.6 o 0.5 -
g0.4 9 0.3-0.2 -
0.1 Surface Point c':-tip)l I
Depth Point {"a"- fip)l 0.0 0.5 1.0 OperatingTk (yearn) 1.5 2.0 Developed by:
J. S. Bnhmadesam Verified by:
B. C. Gray C e 9
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 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.
Developed by: J. S. Brihmadesam Verified by: B. C. Gray Note : Only for use when RitsIdv/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 -"O"degree Nozzle, "All" Azimuths 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:
IDeveloped by:
Verified by:I Cm3J
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 Page 2 of 10 Engineering Report M-EP-2004-001 -00 InDut Data :
L := 0.25 Initial Crack Length TW axial Based on Stress Distribution. Bottom end of Crack to be set @ approximately I Oksi.
M
-Qg
(
1 1
Al L
.103lo3 T+45967 Tref+459.67)
Co:= e
.0C Tinopr := Years-365 24 od Ro :=-
id 2
t := Ro - R Rm:= Ri + -
2 CFinhr:= 1.417 105 TiITnopr Cblk :=Tip kim
'urn Prntblk:=
-0 150 I
L 2
Developed by:
Verified by:
IDeveloped by:
Verified by: I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 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.
DataAI:
0
-30.99
-30.92
-31.72
-35.43
-35.97 0.44
-2.37
-4.15
-6.02
-7.41
-9 0.79 27.86 23.57 19.7 18 12.78 1.08 42.8 38.7 32.04 24.15 15.99 1.3 47.38 40.95 35.62 31.78 29.73 1.48 48.17 40.84 37.03 40.9 48.51 1.63 43.48 39.76 38.46 47.75 56 1.79 35.07 35.43 38.78 48.73 61.47 1.96 25.7 30481 38.83 51.73 66.52 2.12 19.18 27.11 38.58 52.69 65.89 AllAxl:= DataAI ° AIIID := DataAll I AIIOD:= DataAIl I Deeoe y
eIfeby IDeveloped by:-
Venfied by: I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 Page 4 of 10 Engineering Report M-EP-2004-001 -00 100 75 2J4 50 25 0
-25
-50 0 0.2 0.4 0.6 0.8 1
1.2 1.4 1.6 1.8 2
2.2 Axial Distance above Bottom [inch]
ID Distribution GOD distribution BZ = 0.589 Data:=
0 0.441 0.793 1.076 1.303 1.484 1.629 1.794 1.959 2.124
-30.99
-2.37 27.862 42.802 47.376 48.173 43.475 35.074 25.697 19.183
-30.92
-4.15 23.567 38.705 40.949 40.841 39.757 35.427 30.809 27.111
-31.719
-6.024 19.705 32.039 35.624 37.026 38.459 38.776 38.834 38.578
-35.433
-7.411 17.995 24.149 31.779 40.902 47.748 48.731 51.732 52.687
-35.967)
-9.003 12.782 15.988 29.726 48.506 55.999 61.472 66.515 65.89 )
Axl:= Data o (I)
ID:
Data (5)
GD := Data RID:= regress(Axl, ID,3)
ROD := regress(Axl, OD,3)
IDeveloped by:
CS3-
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 Page 5 of 10 Engineering Report M-EP-2004-001 -00 FLCntr := BZ - I Flaw Center above Nozzle Bottom ULStrs.)ist - BZ lCStrs.avg :=
20 mir o
Is it M Sat Aug 09 11:44:49 AM u003 1
lIDeveloped by:-
Vefifed by: I Developed by:
Verified by:
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 Page 6 of 10 Engineering Report M-EP-2004-001 -00 ProPLength = 1.04 Flaw Length vs. Time 1.5 U
I-c3
-a
':TWCp" 5 Scc 0
2 3
l 0.5 0*
OI i
0 0.2 0.4 0.6 0.8 1
1.2 1.4 1.6 1.8 TWVCp% 'SCC&j l )
Operating.Time (years)
-nEntergy Model Increase in H-alf Length c
Co
.5 2u 1.5 0.5 A
0 0.2 0.4 0.6 0.8 1
1.2 Operating Time lYears) 1.4 1.6 1.8 Developed by:
Verified by:
lIDeveloped by:
Vernfed by., I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 Page 7 of 10 Engineering Report M-EP-2004-001-00 Developed by:
Verified by:
lIDeveloped by:
Verified by: I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 Page B of 10 Engineering Report M-EP-2004-001-00 TWCPscc j.6)
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109
-5.109 TWCPwSCC ( 7 3.575 3.575 3.575 3.575 3.575 3.575 3.575 3.575 3.575 3.575 3.575 3.575 3.575 3.575 3.575 3.575 T\\vcp~scc TWC2 (j.8)
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692
-0.692 Developed by:
Verified by:
lIDeveloped by.
Verified by.:
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 Page 9 of 10 Engineering Report M-EP-2004-001 -00 Hoop Stress Plot IIw I
RAe 0.0 0.5 1.0 1.5 2.0 Distance from Nozzle Bottom finch)
O 2-4 O
.2 6I I0 i -5 I =
OD Surface SIF ID Surface SIF Average SIF 0.0 0.5 1.0 Operating Time (years) 1.5 2.0 Developed by.,f5ffjoPed
7fedbY c (is
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 3 Page 10 of 10 Engineering Report M-EP-2004-001 -00 0.5 0.3 0.1 (3
I
-0.1
-0.3
.0.5 0.0 0.5 1.0 0 p e ra ton g T im e (y e a rs )
1.5 2.0 Developed by:
Verified by:
lIDeveloped by.,
Verified by. I
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 4 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 -"18.2" 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.
ID Surface Flaw Developed by:
J. S. Bnhmadesam Verified by:
B. C. Gray C S&
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 4 Page 2 of 11 Engineering Report M-EP-2004-001 -00 M
M od R
- =T 0._
id Rid := 2 t:= Ro - Rid Rm := Rid+
Timopr := Years-365-24 CFinhr := 1.417-105 Timopr Cblk:
h1im
'tim, Pmtblk =
50 L
Co 0 : -y Rm Rt
-Qg
(- l LI.103 l 3T+459.67 Tref+459.67)
C01 := e
.aO1C Temperature Correction for Coefficient Alpha Co := C01 75 th percentile MRP-55 Revision 1 Developed by:
J S. Brihmadesam Verified by:
B. C. Gray c
~
Entergy Operations Inc.
Centra i Engineering Programs Appendix C; Attachment 4 Page 3 of 11 Engineering Report M-EP-2004-001 -00 AllData :=
0
-32.98
-29.55
-27.62
-25.63
-23.66 0.46 4.42 1.43
-2.62
-5.98
-7.49 0.83 23.6 20.13 17.47 13.58 8.56 1.13 39.38 33.76 28.59 23.55 16.9 1.37 41.08 35.6 32.56 29.09 28.07 1.56 35.47 35.03 34.72 41.39 51.48 1.71 25.31 30.93 36.76 48.63 57.32 1.85 18.48 26.76 37.58 49.67 67.27 2
15.18 24.43 37.51 53.17 72.59 AXLen:= AlIData(o)
IDAII := AlIDatael)
ODAII := AllData()
RefPoint = 1.282 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray IC, 59)
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 4 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=
0 0.463 0.834 1.131 1.369 1.56 1.712 1.854
-32.98 4.418 23.603 39.381 41.077 35.472 25.309 18.476
-29.552 1.431 20.133 33.757 35.596 35.035 30.935 26.759
-27.619
-2.622 17.472 28.588 32.564 34.721 36.756 37.578
-25.631
-5.982 13.58 23.549 29.095 41.389 48.633 49.667
-23.659
-7.485 8.558 16.901 28.069 51.476 57.324 67.274 )
Axl := Data(°)
MD:= Data(3)
ID := Data(l)
TQ := Data)
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. Bribmadesam Verified by:
B. C. Gray
Entergy Operationis hic.
Central Engirneering Progranms Appendix C; Attachment 4 Page 5 of 11 Engineering Report M-EP-2004-001 -00 FLCntr =
Refp t - CO if Val = I RefrPoint if Val = 2 RefPoint + cO otherwvise Flaw center Location above Nozzle Bottom UlTip
'=
ICntr +Co IlncStrs~pavg ULStrs.Dist - UTip 20 n s ire sd W
I ffi Sat Aug 09 10:59:39 AM 2003 Prokength = 0.255 Developed by:
J. S. Brnhmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
CentraI Engineering Progrnts Appendix C; Attachment 4 Page 6of11 Engineering Report M-EP-2004-001-00 Flawv Growth in Depth Direction 0.6 Q
C I0_
I-L.-
0.4 1 I
I I
I I
I I
I I
I I
I I
I I
I I
I 0.21 0 CI 0.2 0.4 0.6 0.8 1
1.2 1.4 1.6 1.8 Operating Time lyears}
2 1.5I u
I.-J l
0.5 1 i I I
I I
I I
I 0.430 I
I I
I I
I I
I 0
-0.5 I
-I I
0.2 0.4 0.6 0.8 1
1.2 1.4 1.6 1.8 Operating Time {years}
Developed by:
J. S. Brihmadesam Verified by:
S. C. Gray
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 4 Page 7 of 11 Engineering Report M-EP-2004-001-00 Developed by:V J. S. Brihmadesam Verifled by:-
B. C. Gray CGo
Entergy Operations Inc.
Central Engineering Programs Appendix C; Attachment 4 Page 8 of 11 Engineering Report M-EP-2004-001 -00 Developed by:
J. S. Bnhmadesam Verified by B. C. Gray c& A
Eatergy Operations Inc.
Central Engineering Programs CGORsambi( k 1.02 1.01 9 1.019 1.019 1.019 1.019 1.019 1.019 1.018 1.018 1.018 1.018 1.018 1.018 1.018 Appendix C; Attachment 4 Page 9 of 11 Engineering Report M-EP-2004-001 -00 CGRsambi(; 6) 19.218 19.196 19.198 19.2 19.202 19.205 19.207 19.209 19.211 19.213 19.215 19.217 19.219 19.221 19.223 19.225 CGRsambi(k 5) 16.187 16.21 16.211 16.212 16.213 16.214 16.215 16.216 16.217 16.218 16.219 16.22 16.221 16.222 16.223 16.224 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray
Entergy Operations Sic.
Central Enbigeering Programs Appendix C; Attachment 4 Page 10cf 11 Engineering Report M-EP-2004-001-00 a 30 8.
z 0.3 0 8 1.3 1.8 Axial Distance From Nozzle Bottom (inch) 06 -
004 -
a 02 00 -
I 00 05 1.0 Openastng Time (years) 15 2.0 Developed by:
J. S. Bnfhmadesam Verified by:
B. C. Gray
Entergy Operations Inc.
Centra I Engineering Programs Appendix C; Attachment 4 Page 11 of 11 Engineering Report M-EP-2004-001 -00 0.5
,0.3-Z 0.2 -
0I C) 0.1 i0.0 0.0 0.5 1.0 1.5 2.0 Operating Time (years) 22 -
e 21 -
' 20 -
j 19
- I1 A 17 -
16 -
e
- Poin 1 j 0.0 0.5 1.0 Operating This (years}
1.5 2.0 Developed by:
J. S. Bn'hmadesam Verified by:
B. C. Gray C-ft
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 5 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 -"18.2" 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 l
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 5 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 +
Timopr := Years-365s24 CFinhr := 1.417105 Timopr Cblk = -
1im htim Prntblk :=
50 L
Co :=-2 Rm Rt t
co, := e I
T+459.67 T
1 ref
)a c
Temperature Correction for Coefficient Alpha Co:= C0 1 75 th percentile MRP-55 Revision 1 Developed by.
J. S. Brihmadesam Verfied by:
B. C. Gray C.*
Entergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 5 Page 3 of 11 Engineering Report M-EP-2004-001 -00 Stress Input Data AllData :=
0
-32.98
-29.55
-27.62
-25.63
-23.66 0.46 4.42 1.43
-2.62
-5.98
-7.49 0.83 23.6 20.13 17.47 13.58 8.56 1.13 39.38 33.76 28.59 23.55 16.9 1.37 41.08 35.6 32.56 29.09 28.07 1.56 35.47 35.03 34.72 41.39 51.48 1.71 25.31 30.93 36.76 48.63 57.32 1.85 18.48 26.76 37.58 49.67 67.27 2
15.18 24.43 37.51 53.17 72.59 AXLen := AllData(o)
IDAII := AlIData(')
ODAII := AllData(5)
Refpoint = 1.282 Developed by:
J. S. Bnihmadesam Verified by:
B. C. Gray cc
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 5 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=
0 0.441 0.793 1.076 1.303 1.484 1.629 1.794 1.959
-30.99
-2.37 27.862 42.802 47.376 48.173 43.475 35.074 25.697
-30.92
-4.15 23.567 38.705 40.949 40.841 39.757 35.427 30.809
-31.719
-6.024 19.705 32.039 35.624 37.026 38.459 38.776 38.834
-35.433
-7.411 17.995 24.149 31.779 40.902 47.748 48.731 51.732
-35.967 )
-9.003 12.782 15.988 29.726 48.506 55.999 61.472 66.515 )
Axl := Data(°)
MD:= Data(3)
ID := DataW 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 + co otherwise UTip := FLCntr+ CO IncStrs.avg ULStrs.Dist - UTip 20 Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray CGG
Entergy Operations Ihic Central Engineering Programs Appendix C; Attachment 5 Page 5 of I1 Engineering Report M-EP-2004-001 -00 ffi Sat Aug 09 10:21:18 AM 2003 Developed by:
J. S Brihmadesam Verified by.
B. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Aftachment 5 Page 6 of 11 Engineering Report M-EP-2004-001 -00 ProLength = 0.255 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray C-6-7
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 5 Page 7 of 11 Engineering Report M-EP-2004-001-00 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray c G ?)
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 5 Page 8 of 11 Engineering Report M-EP-2004-001 -00 Influence Coefficients - Flaw 0
0 (4-0 r.
.q 8
c) cm 0
4) 0 0.5 1
1.5 2
2.5 3
3.5 4
Operating time {years}
V"a" - Tip -- Uniform
. I "a" - Tip -- Linear "a" - Tip -- Quadratic "a" - Tip -- Cubic "c" - Tip -- Uniform "c' - Tip -- Linear tic" - Tip -- Quadratic "ic" - Tip -- Cubic Developed by.
J. S. Brihmadesam Verified by:
B. C. Gray CGy
Entergy Operations Inc Central Engineerinlg Programs Appendix C; Attachment 5 Page 9 of 11 Engineering Report M-EP-2004-001-00 CGRsambi sab(k,8 )
0.621 0.621 0.622 0.622 0.622 0.622 0.623 0.623 0.623 0.623 0.623 0.624 0.624 0.624 0.624 0.624 CGRsambi k,6) 15.698 16.72 16.723 16.726 16.73 16.733 16.736 16.739 16.743 16.746 16.749 16.752 16.756 16.759 16.762 16.765 CGRsambi(
5 9.83 10.395 10.4 10.404 10.408 10.413 10.417 10.422 10.426 10.431 10.435 10.44 10.444 10.449 10.453 10.458 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray
Entergy/ Operations Inc Central Engineering Progrants 70-3 30 Co Appendix C; Attachment 5 Page 10cf 11 Engineering Report M-EP-2004-001 -00 0.3 0 a 1.3 1.8 Oistance from Nozzle Bottom {inches) 0.30 -
0.25 X 0.20 -
I0.15 X0.10 -
-3 0 05 -
0 0o -
00 0.5 s0 Operating Tne fyears) 1.5 20 Developed by:
J. S. Blihmadesam Venrled by:
S. C. Gray
Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 5 Page 11 of 11 Engineering Report M-EP-2004-001-00 25 '
C 20
.J15 10 l--- Sufa Point c'c"-btpl l-
_et P
in{"' p l 0.0 0.5 1.0 Operating Tim. (yeam) 1.5 2.0 Developed by:
J. S. Brihmadesam Verified by:
B. C. Gray C 7
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 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 Routijd/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 -"1 8.2"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 data sheet Location of Blind Zone above nozzle bottom (inch)
Developed by:
Verified by:
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 Page 2 of 10 Engineering Report M-EP-2004-001 -00 Input Data :
L := 0.7 Initial Crack Length TW axial Based on Stress Distribution. Bottom end of Crack to be set @ approximately 1 Oksi.
M
MMM N
Co eL 1.10310 T+459.67 Tref+459.67)]
0oc Tinopr := Years 365 24 od 2
id R := -
2 t:= Ro-Rj Rm:= Ri +-
2 CFinhr:= 1.417105 Tiflopr Cblk:=
im.
hjim
'urn Pmtblk:
- 0 I
L 2
lDeveloped by:
C7Z
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 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.
DataAII:=
0
-32.98
-29.55
-27.62
-25.63
-23.66 0.46 4.42 1.43
-2.62
-5.98
-7.49 0.83 23.6 20.13 17.47 13.58 8.56 1.13 39.38 33.76 28.59 23.55 16.9 1.37 41.08 35.6 32.56 29.09 28.07 1.56 35.47 35.03 34.72 41.39 51.48 1.71 25.31 30.93 36.76 48.63 57.32 1.85 18.48 26.76 37.58 49.67 67.27 2
15.18 24.43 37.51 53.17 72.59 AllAxi:= DataAll ° AIIID := DataAIlI AIIOD := DataAIl 5 Developed by:
C-I 21P
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 Page 4 of 10 Engineering Report M-EP-2004-001 -00 100 75 A
50 25 0
-25
-50 0 0.2 0.4 0.6 0.8 1
1.2 1.4 1.6 1.8 Axial Distance above Bottom [inch]
-ID Distribution OD distribution BZ = 1.282 Data:=
0
-32.98 -29.552 -27.619 -25.631 0.463 4.418 1.431
-2.622
-5.982 0.834 23.603 20.133 17.472 13.58 1.131 39.381 33.757 28.588 23.549 1.369 41.077 35.596 32.564 29.095 1.56 35.472 35.035 34.721 41.389 1.712 25.309 30.935 36.756 48.633 1.854 18.476 26.759 37.578 49.667
-23.659)
-7.485 8.558 16.901 28.069 51.476 57.324 67.274 )
Axl:= Data ID:= Data (5)
OD := Data RID := regress(Axi, ID,3)
ROD := regress(Axl, OD,3)
I -Developed by:
Verified by: lI
=
t1$
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 Page 5 of 10 Engineering Report M-EP-2004-001 -00 fl lC,,tr:= BZ - I Flaw Center above Nozzle Bottom ULSIrs.)ist - BZ lncStrs.;vg:=
0
_s qio Is l Sat Aug 09 11:44:49 AM 2003 Develped y:
Vrifid by lIDeveloped by:
Verified by: I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 Page 6 of 10 Engineering Report M-EP-2004-001-00 PropLu.ngth = 0.43 Flaw Length vs. Time 1.5 Hi TWCpxvscc.
0 12" 0.5 I
I1 0
-0.5 3 0.2 0.4 0.6 0.8 1
1.2 1.4 1.6 1.8
'I NVpvscc (j, 1)
Operating Time (years)
Entergy Model Increase in Half Length 2
U c3
'E C
U2 1.5 0.5 0 0 0.2 0.4 0.6 0.8 1
1.2 1.4 1.6 1.8 OperatingrTime {Years' lIDeveloped by:-
Verifed by. I Developed by:
Verified by:
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 Page 7 of 10 Engineering Report M-EP-2004-001-00 Developed by:
Verified by:
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 Page aof10 Engineering Report M-EP-2004-001 -00 TWCPWScc 22.431 28.006 28.015 28.024 28.033 28.042 28.051 28.06 28.069 28.077 28.086 28.095 28.104 28.113 28.122 28.131
- TpcwC, SC(j 7) =
33.949 38.178 38.187 38.196 38.205 38.214 38.223 38.233 38.242 38.251 38.26 38.269 38.278 38.287 38.296 38.306 TWCpN%.Scc (j.8)=
29.51 34.555 34.564 34.574 34.584 34.594 34.604 34.613 34.623 34.633 34.643 34.653 34.663 34.672 34.682 34.692 Developed by:
Verified by:
lIDeveloped by.
Venfied by. I
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 Page 9 of 10 Engineering Report M-EP-2004-001 -00 Hoop Stress Plot s
0.8 1.3 Distance from Nozzle BoSom (inch) 110 6
90 1 70
.f 30 -
10 D Surface SIF
-__ ID Surface SIFl
-__ Average SIFl 0.0 0.5 1.0 Operaing Time (years) 1.5 2.0 Developed by:
Entergy Operations Inc.
Central Engineering Programs Appendix C: Attachment 6 Page 10 of 10 Engineering Report M-EP-2004-001-00 0.5 -
c* 0.4 -
- p. 0.3 -
02-0.1 -
0.0 -
0.0 0.5 1.0 1.5 2.0 Operating Time {years)
I Developed by:
C77