ML20135D262
ML20135D262 | |
Person / Time | |
---|---|
Site: | Arkansas Nuclear ![]() |
Issue date: | 03/31/1996 |
From: | AFFILIATION NOT ASSIGNED |
To: | |
Shared Package | |
ML20135D238 | List: |
References | |
TR-95-025, TR-95-25, NUDOCS 9703050158 | |
Download: ML20135D262 (18) | |
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.i TR-95-025
- ANO Unit 2 Steam Generator Tubes
95/95 Mechanical Properties Prepared For Entergy Operations, Inc.
By Tetra Engineering Group, Inc.
March 31,1996 l
758 28a s ZI88886e P PDR
& Tetra Engineering Group, Inc.
USA: 110 Hopmeadow Street, Suite 800, Westogue, CT, 06089(1).860.651.4622 France:Immeuble Petra B, B.P. 272, 06905 SOPHIA ANTIPOLIS (33).92.96.92.54
retre eno uneerse croup. inc. e sees a nion > n: served.
Contents introduction 1 Computational Method 2 Non-Parametric Confidence Bounds..... . . . .. ;2 95/95 Mechanical Propeny Values.. . ...... .. . . .. .. ..2 Mechanical Property Data 3 Yield and Tensile Stress Data by SG. .. .. ... .. . . . . . .3 References 15 TR-05-025 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Contents e 1 i
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Tetre Engineering Group, Inc. c 1996 M Rights Reserved.
Introduction This report provides the lower bounds of the mechanical propenies (yield, flow, and tensile strength) for the population of tubes in the ANO Unit 2 steam generators.
These lower bounds are establishes as 95% probability /95% confidence bounds. They i provide that at a 95% confidence, no more than 5% of the tubes will have material
! properties lower than these values. The bounds are computed using standard non- ,
parametric statistical methods for confidence bounds on quantiles. j l
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TR-95-025 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties introduction e 1 l
A-r ..,,,, o, ,.
. ,s,s n n,,,,. a.. s.
Computational Method Non-Parametric Confidence Bounds The desired values of mechanical properties are the 95% lower bound evaluated at a 95% confidence level. The most statistically conservative way to compute this is by a non-parametric confidence bound on the 95% quantile. Reference 2 provides methods 4 for both small (n<20) and large (n>20) sample sizes. Since the number of tubes in each SG is large the large sample approximation is valid.
Equation 1 shows the computation:
- *
- i r = np + w,,2)np (1 - p*) '
where:
r = r th order statistic for the ascending set of material property values 1 p = the desired quantile (95% lower bound = 5% or 0.05) w,,,2 = the standardized normal deviate for probability a / 2 a = the desired two- sided confidence level (10%) for a one side level of 5%
n = the sample size (number of tubes)
This gives a one-sided order statistic of 372 for each of the ANO-2 SG's. To use this the material property value for each of the SG tubes is ordered lowest to highest. The 372"' lowest value is then the non-parametric 95/95 lower limit. '
95/95 Mechanical Property Values Table I gives the resulting values for Yield Stress, Flow Stress, and Tensile Stress for each ANO-2 SG. Flow stress is determined as 0.5 times the sum of the Yield and Tensile stresses.
Table 1 95/95 Lower Bound Mechanical Properties Steam Generator Yield (KSI) Flow (KSI) Tensile (KSI)
A 41 67.5 93 B 40 67.5 92 l The values are in close agreement for the two generators.
TR-95425 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Computational Method 2
Tetra Engineering Group. Inc. C1996 AlRights R: served.
Mechanical Property Data Yield and Tensile Stress Data by SG Steam Generator A YIELD STRENGTII(PSI) TENSILE STRENGTH (PSI) NO, 43,000 88,000 1 41,000 90,000 22 43,000 90,000 28 44,000 91,000 18 45,000 91,000 15 40,000 92,000 20 42,000 92,000 1 42,000 92,000 19 43,000 92,000 1 43,000 92,000 2 43,000 92,000 26 43,000 92,000 18 44,000 92,000 6 46,000 92,000 35 46,000 92,000 110 46,000 92,000 6 40,000 93,000 15 41,000 93,000 1 42,000 93,000 23 42,000 93,000 4 42,000 93,000 57 43,000 93,000 1 43,000 93,000 26 44,000 93,000 128 45,000 93,000 67 47,000 93,000 42 48,000 93,000 27 39,000 94,000 24 39,000 94,000 17 TR-95425 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 3
'- Tetre Engheerkg Group, Inc. C 1996 M Rights Reserved. ;
i (40,000 94,000 3 40,000 '
94,000 13B 42,000 94,000 82 !
43,000 94,000 53 43,000 94,000 6 43,000 94,000 71 43,000 94,000 11 44,000 94,000 8 44,000 94.000 2 45,000 94,000 152 ,
46,000 94,000 26 46,000 94,000 28 47,000 94,000 60 47,000 94,000 4 48,000 94,000 18 40,000 95,000 11 1 40,000 95,000 33 40,000 95,000 21 l 41,000 95,000 3 42,000 95,000 26 42,000 95,000 133 43,000 95,000 65 43,000 95,000 78 45,000 95,000 200 45,000 95,000 23 46,000 95,000 63 48,000 95,000 21 48,000 95,000 17 40,000 %,000 1 41,000 96,000 2 41,000 96,000 89 41,000 96,000 26 j 43,000 96,000 25 43,000 96,000 20 43,000 96,000 1 44,000 %,000 31 !
44,000 96,000 4 45,000 96,000 24 j 47,000 %,000 1 l
j 49,000 96,000 222 l 39,000 97,000 2 l
l l
TR-95-025 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 4
Tetre Engheering Group,Inc. 01996 M Rights RCserved.
40,000 97,000 1 41,000 97,000 3 41,000 97,000 6 42,000 97,000 29 42,000 97,000 2 43,000 97,000 34 43,000 97,000 132 43,000 97,000 1 ;
44,000 97,000 78 l 44,000 97,000 1 44,000 97,000 91 44,000 97,000 8 ;
45,000 97,000 1 l 46,000 97,000 4 l 46,000 97,000 18 1 47,000 97,000 108 47,000 97,000 13 47,000 97,000 76 )
48,000 97,000 66 49,000 97,000 334 49,000 97,000 1 50,000 97,000 1 42,000 98,000 1 42,000. 98,000 21 43,000 98,000 5 43,000 98,000 11 43,000 98,000 1 j 44,000 98,000 5 44,000 98,000 88 44,000 98,000 115 44,000 98,000 5 44,000 98,000 1 45,000 98,000 85 ;
45,000 98,000 20 45,000 98,000 69 45,000 98,000 1 45,000 98,000 1 45,000 98,000 1 46,000 98,000 74 46,000 98,000 1 47,000 98,000 54 TR-05-025 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 5
l Tekn Ergheekg Group,Inc. O 1996 M Rights Reserved.
47,000 98,000 9 l 47,000 98,000 6 47,000 98,000 2 l 48,000 98,000 7 49,000 98,000 I 7
50,000 98,000 1 43,000 99,000 8 43,000 99,000 25 44,000 99,000 21 44,000 99,000 137 44,000 99,000 59 44,000 99,000 13 44,000 99,000 21 45,000 99,000 348 45,000 99,000 87 45,000 99,000 69 45,000 99,000 40 j 46,000 99,000 183 46,000 99,000 231 46,000 99,000 1 46,000 99,000 7 46,000 99,000 3 46,000 99,000 3
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46,000 99,000 4 )
47,000 99,000 9 ,
47,000 99,000 46 47,000 99,000 128 48,000 99,000 93 48,000 99,000 11 49,000 99,000 42 49,000 99,000 7 50,000 99,000 10 45,000 100,000 41 45,000 100,000 105 45,000 100,000 15 46,000 100,000 2 46,000 100,000 7 46,000 100,000 3 47,000 100,000 6 48,000 100,000 1 48,000 100,000 90 ,
I 1
l TR-95 425 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 6
TeVe Engineering Group, Inc. 01996 M Rights R: served.
48,000 100,000 15 48,000 100,000 1 48,000 100,000 16 48,000 100,000 121 48,000 100,000 6 48,000 100,000 1 48,000 100,000 87 48,000 100,000 35 49,000 100,000 74 49,000 100,000 1 49,000 100,000 1 50,000 100,000 4 50,000 100,000 8 51,000 100,000 1 51,000 100,000 12 44,000 101,000 3 46,000 101,000 91 46,000 101,000 4 46,000 101,000 72 46,000 101,000 7 47,000 101,000 103 48,000 101,000 7 48,000 101,000 10 48,000 101,000 19 48,000 101,000 4 49,000 101,000 4 49,000 101,000 1 49,000 101,000 10 49,000 101,000 102 49,000 101,000 58 49,000 101,000 2 49,000 101,000 114 49,000 101,000 34 49,000 101,000 37 49,000 101,000 1 50,000 101,000 13 50,000 101,000 1 50,000 101,000 74 50,000 101,000 8 50,000 101,000 8 50,000 101,000 114 TR-95-025 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 7
Tetra Engineering Group. Inc. C 1996 M Rights R: served.
l 50,000 101,000 77 50,000 101,000 12 50,000 101,000 1 50,000 101,000 1 51,000 101,000 55 51,000 101,000 32 51,000 101,000 109 51,000 101,000 83 51,000 101,000 10 51,000 101,000 22 48,000 102,000 6 49,000 102,000 142 49,000 102,000 102 49,000 102,000 5 51,000 102,000 15 51,000 102,000 11 51,000 102,000 5 51,000 102,000 59 51,000 102,000 2 51,000 102,000 41 51,000 102,000 115 51,000 102,000 2 51,000 102,000 16 51,000 102.000 33 51,000 102,000 1 52,000 102,000 13 52,000 102,000 105 i
l TR-95-025 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 8
~. . . . . . . . . . ..
Tetra Engineering Group,Inc, @ 1996 M Rights R: served.
Steam Generator B YIELD STRENGTH (PSI) TENSILE STRENGTH (PSI) No.
41,000 85,000 2 41,000 90,000 10 43,000 90,000 103 39,000 91,000 1 42,000 91,000 2 44,000 91,000 54 45,000 91,000 2 47,000 91,000 1 40,000 92,000 2 42,000 92,000 1 42,000 92,000 26 43,000 92,000 50 43,000 92,000 1 43,000 92,000 38 43,000 92,000 18 44,000 92,000 2 45,000 92,000 2 46,000 92,000 85 46,000 92,000 12 47,000 92,000 24 40,000 93,000 184 41,000 93,000 6 42,000 93,000 31 42,000 93,000 18 42,000 93,000 98 42,000 93,000 76 43,000 93,000 1 44,000 93,000 33 l 45,000 93,000 85 47,000 93,000 264 48,000 93,000 171 39,000 94,000 3 39,000 94,000 2 40,000 94,000 36 40,000 94,000 1 42,000 94,000 54 43,000 94,000 17 43,000 94,000 6 43,000 94,000 19 1R-95 025 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 9
Tetra Engineering Group,Inc. 01996 M Rights Rcserved.
44,000 94,000 20 44,000 94,000 19 44,000 94,000 52 45,000 94,000 28 46,000 94,000 112 ,
46,000 94,000 6 47,000 94,000 28 47,000 94,000 1 47,000 94/X)0 3 48,000 94,000 163 40,000 95,000 2 40,000 95,000 233 40,000 95,000 7 42,000 95,000 9 42,000 95,000 43 43,000 95,000 1 43,000 95,000 10 43,000 95,000 40 )
I 43,000 95,000 28 45,000 95,000 92 45,000 95,000 66 46,000 95,000 176 47,000 95,000 48 48,000 95,000 27 48,000 95,000 8 40,000 96,000 7 l 41,000 96,000 97 41,000 96,000 2 41,000 96,000 46 l 43,000 96,000 52 43,000 96,000 19 43,000 96.000 1 44,000 96,000 13 45,000 96,000 46 45,000 96,000 59 46,000 96,000 1 47,000 96,000 108 47,000 96,000 1 49,000 96,000 83 40,000 97,000 2 40,000 97,000 1 TR-95425 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 10
i Tetra Engineering Group, Inc. G 1996 M Rights Reserved.
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41,000 97,000 1 41,000 97,000 2
! 42,000 97,000 26 43,000 97,000 28 43,000 97,000 30 43,000 97,000 1 43,000 97,000 2 44,000 97,000 49 44,000 97,000 41 44,000 97,000 47 44,000 97,000 61 45,000 97,000 4 45,000 97,000 18 46.000 97,000 20 47,000 97,000 175 47,000 97,000 5 47,000 97,000 62 47,000 97,000 2 48,000 97,000 60 48,000 97,000 2 49,000 97,000 59 50,000 97,000 2 42,000 98,000 8 42,000 98,000 1 43,000 98,000 8 43,000 98,000 2 43,000 98,000 12 44,000 98,000 40 44,000 98,000 11 44,000 98,000 4 44,000 98,000 2 44,000 98,000 5 44,000 98,000 $1 45,000 98,000 3 45,000 98,000 21 45,000 98,000 16 45,000 98,000 54 46,000 98,000 1 46,000 98,000 41 l
j 47,000 98.000 51 l
47,000 98,000 1 TR-95425 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data 11
Tetra Engheerkg Group,Inc. C 1996 M Rights Reserved.
47,000 98,000 3 47,000 98,000 2 47,000 98,000 2 47,000 98,000 1 49,000 98,000 14 50,000 98,000 19 42,000 99,000 1 43,000 99,000 28 43,000 99,000 1 44,000 99,000 86 44,000 99,000 33 44,000 99,000 49 44,000 99,000 84 45,000 99,000 79 45,000 99,000 2 45,000 99,000 44 45,000 99,000 19 45,000 99,000 6 46,000 99,000 111 46,000 99,000 75 46,000 99,000 35 46,000 99,000 1 46,000 99,000 157 I 46,000 99,000 1 47,000 99,000 2 47,000 99,000 7 47,000 99,000 149 48,000 99,000 9 48,000 99,000 5 48,000 99,000 184 48,000 99,000 24 j 48,000 99,000 4 49,000 99,000 4 l
49,000 99,000 7 49,000 99,000 13 49,000 99,000 1 52,000 99,000 21 53,500 99,600 1 44 000 100,000 17 45,000 100,000 82 45,000 100,000 11 TR-95425 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 12
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Tetra EngheerMg Croup,Inc. 01996 M Rights Reserved.
l 45,000 100,000 20 45,000 100,000 1 46,000 100,000 5 46,000 100,000 31 47,000 100,000 11 48,000 100,000 1 48,000 100,000 '
17 48,000 100,000 61 48,000 100,000 7 48,000 100,000 54 i 48,000 100,000 3 48,000 100,000 43 48,000 100,000 7 48,000 100,000 1 48,000 100,000 5 49,000 100,000 1 49,000 100,000 4 49,000 100,000 1 49,000 100,000 29 50,000 100,000 1 51,000 100,000 3 51,000 100,000 21 52,000 100,000 2 54,500 100,800 1 54,500 100,800 1 44,000 101,000 1 46,000 101,000 65 46,000 101,000 11 46,000 101,000 5 47,000 101,000 30 48,000 101,000 38 48,000 101,000 1 48,000 101,000 1 49,000 101,000 8 49,000 101,000 185 49,000 101,000 28 49,000 101,000 3 49,000 101,000 1 49,000 101,000 128 49,000 101,000 12 49,000 101,000 21 TR-95425 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data e 13
Tetre Engheerkg Group,Inc. @ 1996 M Rights R^ served.
49,000 101,000 13 50,000 101,000 4 50,000 101,000 37 50,000 101,000 6 50,000 101,000 3 50,000 101,000 9 50,000 101,000 1 50,000 101,000 4 50,000 101,000 15 50,000 101,000 15 50,000 101,000 1 51,000 101,000 16 51,000 101.000 2 51,000 101,000 15 51,000 101,000 105 51,000 101,000 17 '
51,000 101,000 163 51,000 101,000 1 ;
48,000 102,000 34 49,000 102,000 68 49,000 102,000 16 49,000 102,000 I 4
51,000 102,000 15 51,000 102,000 230 51,000 102,000 1 51,000 102,000 18 51,000 102,000 5 51,000 102,000 16 51,000 102,000 162 51,000 102,000 9 51,000 102,000 62 51,000 102,000 1 51,000 102,000 3 52,000 102,000 102 51,000 104,000 2 54,000 106,0% 1 TR45425 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties Mechanical Property Data .14
1 Tetra Engheering Group. Inc. C1996 M Rights R: served i
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References
- 1. D. Harrison Private Communications with F. Anderson, "ANO-2 Steam Generator Material Properties by SG and Heat, Transmittal of Spreadsheets MECHI and MECH 2", February 16,1996.
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- 2. W.J. Conover, PracticalNonparametric Statistics, Second Edition, John Wiley s and Sons, New York,1980. I i
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l TR 85 025 ANO Unit 2 Steam Generator Tubes: 95/95 Mechanical Properties References e 15