ML093200270
| ML093200270 | |
| Person / Time | |
|---|---|
| Site: | Browns Ferry  |
| Issue date: | 10/31/2009 |
| From: | Continuum Dynamics |
| To: | Office of Nuclear Reactor Regulation |
| References | |
| 00053157 CDI Report No. 09-13NP, Rev 1 | |
| Download: ML093200270 (60) | |
Text
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 5.2 Load Combinations and Allowable Stress Intensities The stress ratios computed for CLTP at nominal frequency and with frequency shifting are listed in Table 9. The stress ratios are grouped according to type (SR-P for maximum membrane and membrane+bending stress, SR-a for alternating stress) and location (away from welds or on a weld). The tabulated nodes are also depicted.in Figure 14 (no frequency shift) and Figure 15 (all frequency shifts included). The plots corresponding to maximum stress intensities depict all nodes with stress ratios SR-P<4, whereas the plots of alternating stress ratios display all nodes with SR-a<4 or, in some cases, SR-a<5 as indicated.
For CLTP operation at nominal frequency the minimum alternating stress ratio is SR-a=3.61, and occurs on the weld joining a lower tie bar to the exit flow perforated plate of the inner vane bank. Note that, as explained above in Section 5.1, no stress reduction factor has been applied to this location. If the stress reduction factor of 0.5 developed for this location in [5] were imposed then all locations of this type would disappear from the table. When all frequency shifts are included the minimum alternating stress reduces by 11% to SR-a=3.20 and occurs where the tie bar connecting the outer and middle vane banks lands on the middle hood.
The leading alternating stress locations in Table 9b generally occur on: (i) the lower tie bar/vane bank perforated plate junctions alluded to above; (ii) the bottom of the weld joining the drain channel to the skirt; (iii) the hood/hood support weld, particularly at the bottom where it connects to a base plate; and (iv) the closure plate/hood weld. The 3rd, 4 h and 9th nodes in the table correspond to nodes whose computed stresses have been revised to reflect the results from detailed sub-modeling analysis in [27].
The minimum stress ratio due to maximum stress intensity at no frequency shift is SR-P=1.63 and occurs on the middle closure plate connecting to the inner hood; it reduces to 1.53 when all frequency shifts are included. All of these locations lie on welds.
Compared to previous stress analysis of the BFN2 steam dryer [8], the addition of the modified tie bars with widened and tapered ends has eliminated virtually all of the high stress areas previously associated with old tie bar bases resulting in stress ratios SR-a>3.20 for the welds on the ends of these tie bars. Moreover replacing the existing outer hood with one that is 1 in thick and supported by outer channels rather than interior supports results in substantially lower stresses overall. Finally, addition of the half-pipe reinforcement has eliminated all of the previous high stress locations on steam dam/gusset welds that were present without the half-pipe reinforcement.
In summary, the lowest alternating stress ratio occurs where the tie bar connecting the outer and middle vane banks lands on the middle hood. Its value, SR-a=3.20 at the -7.5% frequency shift indicates that stresses are well below allowable levels. The lowest stress ratio associated with a maximum stress is SR-P=1.53. This value is dominated by the static component and is only weakly altered by acoustic loads. Since acoustic loads scale roughly with the square of the steam flow, it is reasonable to anticipate that under EPU conditions where the square of the steam flow increases by 35% the limiting stress ratio would reduce from 3.20 to 3.20/1.35=2.37.
This provides ample margin for sustained EPU operation, particularly given that: (i) the applied loads already account for all end-to-end biases and uncertainties; and (ii) no low power noise filtering has been performed.
63 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 5.2 Load Combinations and Allowable Stress Intensities The stress ratios computed for CL TP at nominal frequency and with frequency shifting are listed in Table 9. The stress ratios are grouped according to type (SR-P for maximum membrane and membrane+bending stress, SR-a for alternating stress) and location (away from welds or on a weld). The tabulated nodes are also depicted in Figure 14 (no frequency shift) and Figure 15 (all frequency shifts included). The plots corresponding to maximum stress intensities depict all nodes with stress ratios SR-P:::;4, whereas the plots of alternating stress ratios display all nodes with SR-a:::;4 or, in some cases, SR-a:::;5 as indicated.
For CLTP operation at nominal frequency the minimum alternating stress ratio is SR-a=3.61, and occurs on the weld joining a lower tie bar to the exit flow perforated plate of the inner vane ban1e Note that, as explained above in Section 5.1, no stress reduction factor has been applied to this location. If the stress reduction factor of 0.5 developed for thIS location in [5] were imposed then all locations of this type would disappear from the table. When all frequency shifts are included the minimum alternating stress reduces by 11% to SR-a=3.20 and occurs where the tie bar connecting the outer and middle vane banks lands on the middle hood.
The leading alternating stress locations in Table 9b generally occur on: (i) the lower tie bar/vane bank perforated plate junctions alluded to above; (ii) the bottom of the weld joining the drain channel to the skirt; (iii) the hood/hood support weld, particularly at the bottom where it connects to a base plate; and (iv) the closure plate/hood weld. The 3rd, 4th and 9th nodes in the table correspond I to nodes whose computed stresses have been revised to reflect the results from detailed sub-modeling analysis in [27]. The minimum stress ratio due to maximum stress intensity at no frequency shift is SR-P=1.63 and occurs on the middle closure plate connecting to the inner hood; it reduces to 1.53 when all frequency shifts are included. All of these locations lie on welds.
Compared to previous stress analysis of the BFN2 steam dryer [8], the addition of the modified tie bars with widened and tapered ends has eliminated virtually all of the high stress areas previously associated with old tie bar bases resulting in stress ratios SR-a>3.20 for the welds on the ends of these tie bars. Moreover replacing the existing outer hood with one that is 1 in thick and supported by outer channels rather than interior supports results in substantially lower stresses overall. Finally, addition of the half-pipe reinforcement has eliminated all of the previous high stress locations on steam dam/gusset welds that were present without the half-pipe reinforcement.
In summary, the lowest alternating stress ratio occurs where the tie bar connecting the outer and middle vane banks lands on the middle hood. Its value, SR-a=3.20 at the -7.5% frequency shift indicates that stresses are well below allowable levels. The lowest stress ratio associated with a maximum stress is SR-P=1.53. This value is dominated by the static component and is only weakly altered by acoustic loads. Since acoustic loads scale roughly with the square of the steam flow, it is reasonable to anticipate that under EPU conditions where the square of the steam flow increases by 35% the limiting stress ratio would reduce from 3.20 to 3.20/1.35=2.37.
This provides ample margin for sustained EPU operation, particularly given that: (i) the applied loads already account for all end-to-end biases and uncertainties; and (ii) no low power noise filtering has been performed.
63
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9a. Locations with minimum stress ratios for CLTP conditions with no frequency shift. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any ýe on the structure. Locations are depicted in Figure 14.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 147155 7635 7635 1833 2.21 6.74
- 2. USR part/Support/Support Part 7
122.3
-9.5 147263 6406 6406 1207 2.64.
10.24
- 3. Middle Closure Plate 33.9 108.4 88.9.
6647 5085 5358 809 3.32 15.28 SR-a No
- 1. Mid Plate/Shell Tie Bar 0
-58 88.9 121293.
774 3498 2735 7.25 4.52 SR-P'
- Yes, 1.TbprCbver I'nnerl'Hoodl/Middl'e Clo'surte 3215ý 108,4.
iO 881.9 11283,32, 577,0~7) 61921,l 9,489 11.61, 91341Y Pl'atepnner-Hoo6'
- 2. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 4452 4911 2074 2.09 4.26 Plate/Middle Hood
- 3. USR part/Support/Support Part 8.5 122.2
-9.5 147265 3990 3990 570 2.33 12.04
- 4. Splice Bar/USR Part
-2.2
-119 1 0 147130 3770 3770 298 2.47 23.03
- 5. Top Cover Inner Hood/Inner Hood
-31.5. -110.1 88.9 130600 3143 3362 501 2.96 13.7
- 6. Submerged Drain Channel/Skirt(c) 91
-76.7
-100.5 113872 875 4209 1320 3.31 5.20 SR-a Yes
- 1. Mid Bottom Perf Plate (Exit)/Mid Top Perf.
-15
-19.9 62.9 117767 318 2095 1901 6.65 3.61 Plate (Exit)/Tie Bar
- 2. Mid Bottom Perf Plate (Exit)/Mid Top Perf.
-15.
39.9 62.9 117818 653 1860 1714 7.49 4.01 Plate (Exit)/Tie Bar
- 3. Submerged Drain Channel/Skirt(c)
-11.5 118.4
-100.5 113791 747 3140 1677 4.44 4.10
- 4. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 4452 4911 2074 2.09 4.26 Plate/Middle Hood
- 5. Top Cover Middle Hood/Middle.Hood/Tie Bar 62.5
-22.2 88.9 129889 1357 2256 1609 6.18 4.27
- 6. Middle Base Plate/Hood Support/Middle Hood(d)
-70.8 54.6
- 0. 130997 1601 1814 1535 5.80 4.47 See Table 8a for notes (a)-(e).
64 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9a. Locations with minimum stress ratios for CLTP conditions with no frequency shift. Stress ratios are grouped according to stress type (maximum - SR-P; oraltemating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stre ss ratio of any type on the structure. Locations are depicted in Figure 14.
Stress Weld Location Location (in-l (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 147155 7635 7635 1833 2.21 6.74
- 2. USR part/Support/Support Part 7
122.3
-9.5 147263 6406 6406 1207 2.64 10.24
- 3. Middle Closure Plate 33.9 108A 88.9 6647 5085 5358 809 3.32 15.28 SR-a No
- 1. Mid Plate/Shell Tie Bar 0
-58 88.9 121293 774 3498 2735 7.25 4.52 IS~~~),.VesT
[l~: 1iO~*r~p~e.~, Inne,riAOod~~iddleiClbsul7el..
311.5,.
r**~(i)8~~~' 1,;.8~\\9J I
~283_~2J, i SiZO.;z.i I 629tJ!,
l':~8i [ ~.63j r**~~~lV;:,
I
,,~..,,;
P.late~lnneI7Aood,..
' -. I* ;,..
- 2. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 4452 4911 2074 2.09 4.26 Plate/Middle Hood
- 3. USR part/Support/Support Part 8.5 122.2
-9.5 147265 3990 3990 570 2.33 12.04
- 4. Splice Bar/USR Part
-2.2
-119 0
147130 3770 3770 298 2.47 23.03
- 5. Top Cover Inner Hood/Inner Hood
-31.5. -110.1 88.9 130600 3143 3362 501 2.96 13.7
- 6. Submerged Drain Channel/Skirt(c) 91
-76.7
-100.5 113872 875 4209 1320 3.31 5.20 SR-a Yes
- 1. Mid Bottom Perf Plate (Exit)/Mid Top Pert;
-15
-19.9 62.9 117767 318 2095 1901 6.65 3.61 Plate (Exit)/Tie Bar
- 2. Mid Bottom Perf Plate (Exit)/Mid Top Perf.
-15 39.9 62.9 117818 653 1860 1714 7.49 4:01 Plate (Exit)/Tie Bar
- 3. Submerged Drain Channel/Skirt(c)
-11.5 118.4
-100.5 113791 747 3140 1677 4.44 4.10
- 4. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 4452 4911 2074 2.09 4.26 Plate/Middle Hood
- 5. Top Cover Middle Hood/MiddleHood/Tie Bar 62.5
-22.2 88.9 129889 1357 2256 1609 6.18 4.27
- 6. Middle Base Plate/Hood Support/Middle Hood(d)
-70.8 54.6 0
130997 1601 i814 1535 5.80 4.47 See Table8a for notes (a)-(e).
64
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9b. Locations with minimum stress ratios at CLTP conditions with frequency shifts. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 15.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 147155 7802 7802 2103 2.17 5.88 7.5 it.
- o.
- 2. USR part/Support/Support Part 7
122.3
-9.5 147263 6709 6709 1476 2.52 8.38
-7.5 V1 "of
- 3. Middle Closure Plate 33.9 108.4 88.9 6647 5429 5745 1209 3.11 10.22 5
SR-a No
- 1. Mid Plate 0
-1.7 88.6 23532 342 3685 3256 6.88 3.80
-10
- 2. Mid Plate/Tie Bar 0
-58 88.9 121293 852 3877 2842 6.54 4.35 10
~
~~~~ -J9s u-Y P.I gie ~rnr &p.
W_ _idlyj
~;~
~ ~
- 2. Top Cover Middle Hood/Outer
-62.5 85 88.9 130895 4531 5080 2120 2.05 4.16 5
Closure Plate/Middle Hood it.
- 3. USR part/Support/Support Part 8.5 122.2
-9.5 147265 4148 4148 709 2.24 9.69 7.5
- 4. Splice Bar/USR Part
-2.2
-119 0
147130 3917 3917 417 2.37 16.48 7.5 it
- 5. Submerged Drain Channel/Skirt 91
-76.7
-98.5 113874 347 4926 1496 2.83 4.59
-7.5 if
- 6. Top Cover Inner Hood/Inner Hood
-31.5
-110.1 88.9 130600 3258 3478 597 2.85 11.51
-7.5
- 7. Submerged Drain Channel/Skirt(c) 91
-76.7
-100.5 113872 1077 4692 1768 2.97 3.89
-7.5
- 8. Middle Cover Plate/Vane Bank 86
-28.7 0
115276 603 4312 1311 3.23 5.24
-5 See Table 8a for notes (a)-(e).
65 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9b.. Locations with minimum stress ratios. at CL TP conditions with frequency shifts. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts.. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 15.
Weld Location See Table 8a for notes (a)-(e).
65
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9b (cont.). Locations with minimum stress ratios at CLTP conditions with frequency shifts. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum
- SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 15.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-a Yes
- 1. Top Cover Middle Hood/Middle 62.5
-22.2 88.9 129889 1507 2723 2143 5.12 3.20
-7.5 Hood/Tie Bar
- 2. Mid Bottom Perf. Plate (Exit)/Mid Top 15 19.9 62.9 117630 335 2177 2097 6.4 3.28
-2.5 Perf. Plate (Exit)/Tie Bar
- 3. Submerged Drain Channel/Skirt(c)
-11.5 118.4
-100.5 113791 860 3531 2062 3.95 3.33
-10
- 4. Middle Base Plate/Hood Support/Middle 70.8
-54.6 0
127635 2003 2612 1971 4.64 3.48 7.5 Hood(d)
- 5. Mid Bottom Perf. Plate (Exit)/Mid Top
-46 36.4 62.9 118129 586 1961 1905 7.11 3.61 10 Perf. Plate (Exit)/Tie Bar
- 6. Mid Bottom Perf. Plate (Exit)/Mid Top
-46 18.2 62.9 118066 507 2037 1904 6.84 3.61 10 Perf. Plate (Exit)/Tie Bar
- 7. Hood Support/Inner Hood
-35.6
-59.8 38.9 130150 358 1999 1900 6.97 3.61
-7.5
- 8. Mid Bottom Perf. Plate (Exit)/Mid Top
-15 39.9 62.9 117818 687 2134 1896 6.53 3.62
-2.5 Perf. Plate (Exit)/Tie Bar
- 9. Submerged Drain Channel/Skirt(c)
-91
-76.7
-100.5 113764 1072 4438 1883 3.14 3.65 7.5
- 10. Mid Plate Support/Mid Plate 0
17 2
123493 266 1849 1821 7.54 3.77
-10
- 11. Top Cover Middle Hood/Outer Closure 62.5 85 88.9 127245 2995 3067 2284 3.1 3.87 5
P la t e / M id d le H o o d 5
-7.5
- 12. Middle Closure Plate/Inner Hood
-35.4
-108.4 39.9 130648 787 2448 2245 5.7 3.93
-7.5 See Table 8a for notes (a)-(e).
66 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 9b (cont.). Locations with minimum stress ratios at CLTP conditions with frequency shifts. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum
- SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 15.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-a Yes
- 1. Top Cover Middle Hood/Middle 62.5
-22.2 88.9 129889 1507 2723 2143 5.12 3.20
-7.5 Hood/Tie Bar
- 2. Mid Bottom Perf. Plate (Exit)/Mid Top 15 19.9 62.9 117630 335 2177 2097 6.4 3.28
-2.5 Perf. Plate (Exit)/Tie Bar
- 3. Submerged Drain Channel/Skirt(c)
-11.5 118.4
-100.5 113791 860 3531 2062 3.95 3.33
-10
- 4. Middle Base Plate/Hood Support/Middle 70.8
-54.6 0
127635 2003 2612 1971 4.64 3.48 7.5 Hood(d)
- 5. Mid Bottom Perf. Plate (Exit)/Mid Top
-46 36.4 62.9 118129 586 1961 1905 7.11 3.61 10 Perf. Plate (Exit)/Tie Bar
- 6. Mid Bottom Perf. Plate (Exit)/Mid Top
-46 18.2 62.9 118066 507 2037 1904 6.84 3.61 10 Perf. Plate (Exit)/Tie Bar
- 7. Hood Support/Inner Hood
-35.6
-59.8 38.9 130150 358 1999 1900 6.97 3.61
-7.5
- 8. Mid Bottom Perf. Plate (Exit)/Mid Top
-15 39.9 62.9 117818 687 2134 1896 6.53 3.62
-2.5 Perf. Plate (Exit)/Tie Bar
- 9. Submerged Drain ChanneI/Skirt(C)
-91
-76.7
-100.5 113764 1072 4438 1883 3.14 3.65 7.5
- 10. Mid Plate Support/Mid Plate 0
17 2
123493 266 1849 1821 7.54 3.77
-10
- 11. Top Cover Middle Hood/Outer Closure 62.5 85 88.9 127245 2995 3067 2284 3.1 3.87 5
Plate/Middle Hood
- 12. Middle Closure Plate/Inner Hood
-35.4
-108.4 39.9 130648 787 2448 2245 5.7 3.93
-7.5 See Table 8a for notes (a)-(e).
66
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 14a. Locations of smallest maximum stress ratios, SR-P<4, at non-welds for nominal CLTP operation. Numbers refers to the enumerated locations for SR-P values at non-welds in Table 9a.
67 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
y SR-P 4
3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 Figure 14a. Locations of smallest maximum stress ratios, SR-P~4, at non-welds for nominal CLTP operation. Numbers refers to the enumerated locations for SR-P values at non-welds in Table 9a.
67
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
Y4.- x SR-a I
4.8 4.6 4.4 Figure 14b. Locations of smallest alternating stress ratios, SR-a<5, at non-welds for nominal CLTP operation. Number refers to the enumerated locations for SR-a values at non-welds in Table 9a.
68 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x SR-a 5
4.8 4.6 4.4 4.2 4
Figure 14b. Locations of smallest alternating stress ratios, SR-a~5, at non-welds for nominal CLTP operation. Number refers to the enumerated locations for SR-a values at non-welds in Table 9a.
68
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
X SR-P 4
3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 2
1.8 1.6 Figure 14c. Locations of smallest maximum stress ratios, SR-P<4, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 9a.
First view showing locations 1-3 and 5.
69 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x~
SR-P 4
3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 2
1.8 1.6 Figure 14c. Locations of smallest maximum stress ratios, SR-P~4, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 9a.
First view showing locations 1-3 and 5.
69
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 14d. Locations of smallest maximum stress ratios, SR-P<4, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 9a.
Second view showing locations 4-6.
70 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
~
X SR-P 4
3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 2
1.8 1.6 Figure 14d. Locations of smallest maximum stress ratios, SR-P::;4, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 9a.
Second view showing locations 4-6.
70
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information SR-a 4,8 4.6 4.4 4.2 3.8 3.6 Figure 14e. Locations of minimum alternating stress ratios, SR-a<5, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 9a. First view showing locations 1, 2, 4 and 5.
71 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x~
y SR-a 5
4,8 4.6 4.4 4.2 4
3.8 3.6 Figure 14e. Locations of minimum alternating stress ratios, SR-a~5, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 9a. First view showing locations 1, 2, 4 and 5.
71
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 14f. Locations of minimum alternating stress ratios, SR-a<5, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 9a.
Second view showing locations 3 and 6.
72 z
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information x
SR-a 5
4.8 4.6 4.4 4.2 4
3.8 3.6 Figure 14f. Locations of minimum alternating stress ratios, SR-a~5, at welds for nominal CLTP operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 9a.
Second view showing locations 3 and 6.
72
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15a.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at non-welds for CLTP operation with frequency shifts. The recorded stress ratio is the minimum value taken over all frequency shifts. The numbers refers to the enumerated location for SR-P values at non-welds in Table 9b.
73 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
y SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 Figure 15a. Locations of minimum stress ratios, SR-P::;4, associated with maximum stress intensities at non-welds for CLTP operation with frequency shifts. The recorded stress ratio is the minimum value taken over all frequency shifts. The numbers refers to the enumerated location for SR-P values at non-welds in Table 9b.
73
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15b. Locations of minimum alternating stress ratios, SR-a<5, at non-welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b.
74 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x SR-a 5
4.9 4.8 4.7 4.6 4.5 4.4 4.3 4.2 4.1 4
3.9 3.8 Figure I5b. Locations of minimum alternating stress ratios, SR-a~5, at non-welds for CL TP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in.
Table 9b.
74
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15c.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 9b. This view shows locations 1-3 and 6.
75 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x~
y SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 Figure 15c.
Locations of minimum stress ratios, SR-P::;4, associated with maximum stress intensities at welds for CL TP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 9b. This view shows locations 1-3 and 6.
75
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15d.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 9b. This view shows locations 4-7.
76 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
~
X SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 Figure 15d.
Locations of minimum stress ratios, SR-P~4, associated with maximum stress intensities at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 9b. This view shows locations 4-7.
76
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15e.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 9b. This view shows locations 5, 7 and 8.
77 x
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 z
Figure 15e.
Locations of minimum stress ratios, SR-P:::;4, associated with maximum stress intensities at welds for CL TP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 9b. This view shows locations 5, 7 and 8.
77
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15f.
Locations of minimum alternating stress ratios, SR-a<5, at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b. This view shows locations 1, 2, 11 and 12.
78 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15f.
Locations of minimum alternating stress ratios, SR-a:S:5, at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b. This view shows locations 1,2, 11 and 12.
78
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15g.
Locations of minimum alternating stress ratios, SR-a<5, at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b. Second view showing locations 1, 5, 6, 8, 10 and 11.
79 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15g.
Locations of minimum alternating stress ratios, SR-a:S;5, at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b. Second view showing locations 1,5,6,8, 10 and 11.
79
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 15h.
Locations of minimum alternating stress ratios, SR-a<_5, at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b. Third view showing locations 3, 4, 7, 9 and 12.
80 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Zy x--E/
SR-a 5
4.8 4.6 4.4 4.2 4
3.8 3.6 3.4 3.2 Figure 15h.
Locations of minimum alternating stress ratios, SR-a~5, at welds for CLTP operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 9b. Third view showing locations 3, 4, 7, 9 and 12.
80
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 5.3 Frequency Content The frequency contribution to the stresses can be investigated by examining the power spectral density (PSD) curves and accumulative PSDs for selected nodes having low alternating stress ratios. The accumulative PSDs are computed directly from the Fourier coefficients as 4(00n =
Zf~ 1&((O~k) k=1 where E(wk) is the complex stress harmonic at frequency, 0Ok. Accumulative PSD plots are useful for determining the frequency components and frequency ranges that make the largest contributions to the fluctuating stress.
Unlike PSD plots, no "binning" or smoothing of frequency components is needed to obtain smooth curves. Steep step-like rises in Y(co) indicate the presence of a strong component at a discrete frequency whereas gradual increases in the curve imply significant content over a broader frequency range.
From Parsival's theorem, equality between X(0N) (where N is the total number of frequency components) and the RMS of the stress signal in the time domain is established.
The selected nodes are the first three locations having the lowest alternating stress ratios (at a weld) in Table 9b, together with a node near the stress relief cutout on the inner hood stiffener and the limiting node at EPU in Table 10b. These nodes are:
Node 129889 - this node has the lowest alternating stress ratio and is located on the weld where the tie bar connecting the middle and outer vane banks lands on the middle hood. The associated PSDs are shown in Figure 16a.
Node 117630- located at end of the lower tie bar connecting to the exit perforated plate of the inner vane bank. The associated PSDs are shown in Figure 16b.
Node 113791 - located at bottom of the skirt/drain channel weld. The associated PSDs are shown in Figure 16c.
Node 128553 - located at the middle base plate/inner hood/hood support junction. The associated PSDs are shown in Figure 16d.
Node 130895 - located on the weld joining the middle hood, its top cover plate and the outer closure plate. This node appears as the limiting node at EPU when all frequency shifts are considered. The associated PSDs are shown in Figure 16e.
In each case, since there are six stress components and up to three different section locations for shells (the top, mid and bottom surfaces), there is a total of 18 stress histories per component.
Moreover, at junctions there are at least two components that meet at the junction. The particular stress component that is plotted is chosen as follows. First, the component and section location (top/mid/bottom) is taken as the one that has the highest alternating stress. This narrows the selection to six components. Of these, the component having the highest Root Mean Square (RMS) is selected.
For the limiting stress location, the dominant frequency peak is centered at 79.6 Hz. Since it occurs at the -7.5% shift, the corresponding frequency in the non-shifted signal is 85.6 Hz.
81 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information I
5.3 Frequency Content The frequency contribution to the stresses can be investigated by examining the power spectral density (PSD) curves and accumulative PSDs for selected nodes having low alternating stress ratios. The accumulative PSDs are computed directly from the Fourier coefficients as n
L(ffin) = L 1&(ffik)12 k=l where &(ffik) is the complex stress harmonic at frequency, ffik' Accumulative PSD plots are useful for determining the frequency components and frequency ranges that make the largest contributions to the fluctuating stress.
Unlike PSD plots, no "binning" or smoothing of frequency components is needed to obtain smooth curves. Steep step-like rises in L( ffi) indicate the presence of a strong component at a discrete frequency whereas gradual increases in the curve imply significant content over a broader frequency range.
From Parsival's theorem, equality between L(ffiN) (where N is the total number of frequency components) and the RMS of the stress signal in the time domain is established.
The selected nodes are the first three locations having the lowest alternating stress ratios (at a weld) in Table 9b, together with a node near the stress relief cutout on the inner hood stiffener and the limiting node at EPU in Table lOb. These nodes are:
Node 129889 - this node has the lowest alternating stress ratio and is located on the weld where the tie bar connecting the middle and outer vane banks lands on the middle hood. The associated PSDs are shown in Figure 16a.
Node 117630- located at end of the lower tie bar connecting to the exit perforated plate of the inner vane bank. The associated PSDs are shown in Figure 16b; Node 113791 - located at bottom of the skirt/drain channel weld. The associated PSDs are shown in Figure 16c.
Node 128553 - located at the middle base plate/inner hood/hood support junction. The associated PSDs are shown in Figure 16d.
Node 130895 - located on the weld joining the middle hood, its top cover plate and the outer closure plate. This node appears as the limiting node at EPU when all frequency shifts are considered. The associated PSDs are shown in Figure 16e.
In each case, since there are six stress comportents and up to three different section locations for shells (the top, mid and bottom surfaces), there is a total of 18 stress histories per component.
Moreover, at junctions there are at least two components that meet at the junction. The particular stress component that is plotted is chosen as follows. First, the component and section location (top/midlbottom) is taken as the one that has the highest alternating stress. This narrows the selection to six components. Of these, the component having the highest Root Mean Square (RMS) is selected.
For the limiting stress location, the dominant frequency peak is centered at 79.6 Hz. Since it occurs at the -7.5% shift, the corresponding frequency in the non-shifted signal is 85.6 Hz.
81
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Comparing the shifted and non-shifted stress PSDs (and accumulative PSDs) it is clear that peaks (or step increases) are shifted and amplified. This is indicative of a strong peak in the load signal being applied to the structure. This is in contrast to the case when stress peaks increase but do not shift which is indicative of a broad spectrum load with less pronounced peaks being imposed upon the structure. The next location (node 117630) manifests a dominant response at 62.6 Hz (65.9 Hz in the unshifted signal). This is close to the 57.9 Hz peak (64.3 Hz in the unshifted signal) in the third location (node 113791) and 67.1 Hz (63.9 Hz unshifted) in the fourth location (node 128553) and also aligns closely with the second highest peak in the limiting stress location. All of these (unshifted) signals are in the 60-70 Hz range where the signal bias and uncertainty have been increased.
The fourth and fifth locations also exhibit a strong peak at 116.7 Hz (111.1 Hz unshifted) (for the fifth node 130895 this is the dominant peak). This is in the 109-113 Hz range where the onset of SRV resonance is anticipated so one expects these peaks to become more pronounced in the EPU response as is confirmed in Section 6. In all cases the accumulative stress PSDs are nearly flat above 150 Hz (a slight slope is evident which is characteristic of the.background noise that has been left in the signals) suggesting that the signals at high frequencies are not significant stresses contributors. Specifically, no significant FIV sources appear present at these higher frequencies.
82 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Comparing the shifted and non-shifted stress PSDs (and accumulative PSDs) it is clear that peaks (or step increases) are shifted and amplified. This is indicative of a strong peak in the load signal being applied to the structure. This is in contrast to the case when stress peaks increase but do not shift which is indicative of a broad spectrum load with less pronounced peaks being imposed upon the structure. The next location (node 117630) manifests a dominant response at '62.6 Hz (65.9 Hz in the unshifted signal). This is close to the 57.9 Hz peak (64.3 Hz in the unshifted signal) in the third location (node 113791) and 67.1 Hz (63.9 Hz unshifted) in the fourth location (node 128553) and also aligns closely with the second highest peak in the limiting stress location. All of these (unshifted) signals are in the 60-70 Hz range where the signal bias and uncertainty have been increased.
The fourth and fifth locations also exhibit a strong peak at 116.7 Hz (111.1 Hz unshifted) (for the fifth node 130895 this is the dominant peak). This is in the 109-113 Hz range where the onset of SRV resonance is anticipated so one expects these peaks to become more pronounced in the EPU response as is confirmed in Section 6. In all cases the accumulative stress PSDs are nearly flat above 150 Hz (a slight slope is evident which is characteristic ofthe.background noise that has been left in the signals) suggesting that the signals at high frequencies are not significant stresses contributors. Specifically, no significant FlV sources appear present at these higher frequencies.
82
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 129889, az 0-a)
EE a.)
C,)
350 300 250 200 150 100 50 0
10 5
104 1000 100 10 1
0.1
[o shiftV 0
50 100 150 200 Frequency [ Hz ]
Node 129889, a, 250
~,
J~
1~t~ 1~
~
No shift 0.01 0
50 100 150 200 250 Frequency [ Hz ]
Figure 16a. Accumulative PSD and PSD curves of the czz stress response at node 129889.
83 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 350 en 300 Cl.
W 250 0
(f)
Il.
Q) 200
. ~
!§
- J E
150 E
- J U
- i.
100 50 0
0 10 5
104 N
I --
1000
<';-en Cl.
0 100 (f)
Il.
en en 10 Q)
-=
(f) 0.01 o
50 50 Node 129889, cr zz T
r
- ~-*****...-****.,~****-*.. ****--**""':-****...... -
I
.1..
f t,
-I" I
I.
--e-Noshift
- "...... -7.5% shift 100 150 200 Frequency [ Hz]
Node 129889, cr zz
No shift 100 150 200 Frequency [Hz]
250 250 Figure 16a. Accumulative PSD and PSD curves of the O"zz stress response at node 129889.
83
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 117630, c U)
CO, E
E 300 250 200 150 100 50 0
0 50 100 150 200 250 Frequency [ Hz ]
Node 117630, az 105 10)4 U)
C,)
No shift 1000 10
- 0 10 1
l t V. I 0.01
--I 100 150 200 250 0
50 Frequency [ Hz ]
Figure 16b. Accumulative PSD and PSD of the cazz stress response at node 117630.
84 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information II> a.
IN ci
(/)
a..
Q)
.~
l§
- J E
E
- J
()
- t.
N I --
"i-II> a.
o
(/)
a..
II>
II>
Q)
.b
(/)
300 250 200 150 100 50 0
0 0.1 0.01 o
Node 117630, a zz
~Noshift
- ..,,- -2.5% shift
,..J 50 100 150 200 250 Frequency [ Hz]
Node 117630, azz 50 100 150 200 250 Frequency [ Hz 1 Figure 16b. Accumulative PSD and PSD of the O"zz stress response at node 117630.
84
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 113791, a U)
E E
500 400 300 200 100 0
No shift
-10% shift 2
250 50 100 150 200 0
Frequency [ Hz ]
Node 113791, a 106 106 CIA (I) 0 No shift
-10%shf 10 4
1000 I
10 0.1 0.01 0
50 100 150 200 250 Frequency [ Hz ]
Figure 16c. Accumulative PSD and PSD of the ayy stress response at node 113791.
85 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information en Cl.
N I --
~
en Cl.
0
(/)
Cl..
en en Q)
~
(/)
500 400 300 200 100 o o 50 106 105 10 4
1000 100 10 L.
L. M.......*. ~
- ** iVi~ l......
I 4~f f
(
I~
0.1 I)
~
0.01 o
50 Node 113791, CJ yy 100 150 Frequency [ Hz 1 Node 113791, CJ yy
--"-Noshift
_.......... -10% shift 200 250
-e-Noshift
-10% shift 100 150 200 250 Frequency [Hz 1 Figure 16c. Accumulative PSD and PSD of the Gyy stress response at node 113791.
85
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 128553, a Cl)
E-E 500 400 300 200 100 0
No sif 0
50 100 150 200 Frequency [ Hz ]
Node 128553, a 250 10 5 104 I
0 No Shi r
+5%s U) a-1 U) 1000 100 10 1
0.1 0.01 0
50 100 150 200 250 Frequency [ Hz ]
Figure 16d. Accumulative PSD and PSD of the axx stress response at node 128553.
86 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
(/)
- c.
N J: --
<)I_
(/)
- c.
0 C/)
a..
(/)
(/)
Q)
C/)
500 400 300 200 100 o o 1000 100 10 0.01 o
Node 128553, (J xx
' ';';';';':'~ *** '.'_....;:;;::e...
",.""..-.~-.~ ****** -"*"~
- ~l
........,...... f-*****.... *, ---.... t-
..... -.... -4
.... '1 I
i 50 100 150 Frequency [ Hz 1 Node 128553, (J xx T
50 100 150 Frequency [Hz 1
~Nosh ift
.......... +5% shift 200 200 250 250 Figure 16d. Accumulative PSD and PSD of the O'xx stress response at node 128553.
86
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 130895, cr U)
CO, E
E U)
U)
U) 350 300 250 200 150 100 50 0
No shift
+5% shift 0
50 100 150 200 Frequency [ Hz]
Node 130895, axx 250 10 5 104 1000 100 10 1
0.1 A
l 0 No sh K
T 0
50 100 150 200 2
Frequency [ Hz ]
Figure 16e. Accumulative PSD and PSD of the,xx stress response at node 130895.
50 87 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information N
I
~
(/)
(/)
0..
0..
0 (f) 0...
(/)
(/)
Q) b (f) 350 300 250 200 150 100 50 i
50 105 104 1000 100 10 0.01 o 50 Node 130895, C1 xx
.... --.-.... l-'!!..--.... ~j
~.,... ** p.--......"...
I
........ -\\...... ~.. -.. -..... -.". _..,......,... -. -.
100 150 Frequency [ Hz]
Node 130895, C1 xx
-No shift
+5% shift 200 250
~~~~ 1 i
y~{
100 150 200 250 Frequency [Hz 1 Figure 16e. Accumulative PSD and PSD of the O"xx stress response at node 130895.
87
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 6. Results at Predicted EPU Using Bump Up Factors (3)))
88 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 6. Results at Predicted EPU Using Bump Up Factors
((
88
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 6.1 Load Combinations and Allowable Stress Intensities at EPU (3)))
89 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 6.1 Load Combinations and Allowable Stress Intensities at EPU
((
89
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 10a. Locations with minimum stress ratios for estimated EPU conditions with no frequency shift. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 17.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 147155 8309 8309 2562 2.03 4.83
- 2. USR part/Support/Support Part
- 7.
122.3
-9.5 147263 6776 6776 1634 2.49 7.56
- 3. Middle Closure Plate
-33.9
-108.4 88.9 7323 5475 5692 1198 3.09 10.32 SR-a No
- 1. Mid PlateTie Bar 0
-58 88.9 121293 976 5427 4804 4.67 2.57 it
- 2. Mid Plate/Tie Bar 0
-3.2 88.9 130877 758 4276 3538 5.93 3.49
- 3. USR/Seismic Block/Support Part 122.1
-10
-9.5 147155 8309 8309 2562 2.03 4.83 SR-P,
- Yes, 1T.pwCover lnnerHood/MiddieClbsurei 3ai.5 MA'84.
88s-9) 1i28332) 6239i,67/18J 11,42,'5/
.1
&.115f Plate/Ohner Hifood 1___I
- 2. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 6003 6480 3464 1.55 2.55 Plate/Middle Hood
- 3. USR part/Support/Support Part 8.5 122.2
-9.5 147265 4103 4103 774 2.27 8.87
- 4. Splice Bar/USR Part
-2.2
-119 0
147130 3878 3878 405 2.40 16.97
- 5. Top Cover Inner Hood/Inner Hood
-31.5
-110.1 88.9 130600 3390 3644 805 2.74 8.54
- 6. Middle Base Plate/Hood Support/Inner Hood(e) 39.8
-59.8 0
128813 3363 3403 1864 2.76 3.69
- 7. Submerged Drain Channel /Skirt(c) 91
-76.7
-100.5 113872 1091.
4838 1887 2.88 3.64
- 8. Middle Base Plate/Thin Vane Bank/Vane 86
-28.7 0
115276 727 4707 1709 2.96 4.02 Bank Section
- 9. Submerged Drain Channel/Skirt 91
-76.7
-98.5 113874 352 4550 1214 3.06 5.66 See Table 8a for notes (a)-(e).
90 This Document Does Not Contain Continuum Dynamics, Inc.. Proprietary Information Table lOa. Locations with minimum stress ratios for estimated EPU conditions with no frequency shift. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) andlocation (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 17.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 147155 8309 8309 2562 2.03 4.83
- 2. USR part/Support/Support Part 7
122.3
-9.5 147263 6776 6776 1634 2.49 7.56
- 3. Middle Closure Plate
-33.9
-108.4 88.9 7323 5475 5692 1198 3.09 10.32 SR-a No
- 1. Mid PlateTie Bar 0
-58 88.9 121293 976 5427 4804 4.67 2.57
- 2. Mid Plate/Tie Bar 0
-3.2 88.9 130877 758 4276 3538 5.93 3.49 3.USR/Seismic Block/Support Part 122.1
-10
-9.5 147155 8309 8309 2562 2.03 4.83 lSR~PI, : ¥es, I
- \\!~:libprC:eveli,I,'nneli' l;I~od~.Mi~(jJe;C:I~suliel "..
1*~11*5J I 1JQ8~:.I' 8~~~)
1J283~~
6~~g) I
~':,6;7;llSJ " 1*1J~~~ r*:~*~m,', 1!:19~
I '
I PlateJlnneli' Jiloodl I,
- 2. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 6003 6480 3464 1.55 2.55 Plate/Middle Hood
- 3. USR part/Support/Support Part 8.5 122.2
-9.5 147265 4103 4103 774 2.27 ' 8.87
- 4. Splice Bar/USR Part
-2.2
-119 0
147130 3878 3878 405 2.40 16.97
- 5. Top Cover Inner Hood/Inner Hood
-31.5* -110.1 88.9 130600 3390 3644 805 2.74 8.54
- 6. Middle Base Plate/Hood Support/Inner Hood(e) 39.8
-59.8 0
128813 3363 3403 1864 2.76 3.69
- 7. Submerged Drain Channel /Skirt(c) 91
-76.7
-100.5 113872 1091 4838 1887 2.88 3.64
- 8. Middle Base Plate/Thin Vane Bank/Vane 86
-28.7 0
115276 727 4707 1709 2.96 4.02 Bank Section
- 9. Submerged Drain Channel/Skirt 91
-76.7
-98.5 113874 352 4550 1214 3.06 5.66 See Table 8a for notes (a)-(e).
90
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 10a (cont.). Locations with minimum stress ratios for estimated EPU conditions With no frequency shift. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 17.
Stress Weld Location Location (in. (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-a Yes
- 1. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 6003 6480 3464 1.55 2.55 Plate/Middle Hood
- 2. Mid Bottom Perf Plate (Exit)/Mid Top Perf.
-15
-19.9 62.9 117767 423 2847 2624 4.9 2.62 Plate (Exit)/Tie Bar I
I I
I
- 3. Middle Base Plate/Hood Support/Middle Hood(d) 70.8 54.6 0
127334 2451 2646 2586 3.79 2.66
- 4. Hood Support/Middle Hood
-67.1 54.6 36.6 131019 246 2669 2556 5.22 2.69
- 5. Gusset Pad Thin/Top Cover Outer Hood/Top
-91.5 57.5 88.9 113537 364 3175 2492 4.39 2.76 Reinforcement
- 6. Mid Bottom Perf Plate (Exit)/Mid Top Perf.
-15 39.9 62.9 117818 725 2484 2346 5.61 2.93 Plate (Exit)/Tie Bar
- 7. Submerged Drain Channel /Skirt(c)
-11.5 118.4
-100.5 113791 1077 3858 2321 3.61 2.96 8 Top Cover Middle Hood/Middle Hood/Shell Tie Bar 62.5
-22.2 88.9 129889 1664 2948 2280 4.73 3.01
- 9. Mid Bottom Perf Plate (Exit)/Mid Top Perf.
-46
-18.2 62.9 118079 364 2129 2107 6.55 3.26 Plate (Exit)/Tie Bar See Table 8a for notes (a)-(e).
91 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table lOa (cont.). Locations with minimum stress ratios for estimated EPU conditions with no frequency shift. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure. Locations are depicted in Figure 17.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a SR-a Yes
- 1. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 6003 6480 3464 1.55 2.55 Plate/Middle Hood
- 2. Mid Bottom Perf Plate (Exit}/Mid Top Perf.
-15
-19.9 62.9 117767 423 2847 2624 4.9 2.62 Plate (Exit}/Tie Bar
- 3. Middle Base Plate/Hood Support/Middle Hood(d) 70.8 54.6 0
127334 2451 2646 2586 3.79 2.66
- 4. Hood Support/Middle Hood
-67.1 54.6 36.6 131019 246 2669 2556 5.22 2.69
- 5. Gusset Pad Thin/Top Cover Outer Hood/Top
-91.5 57.5 88.9 113537 364 3175 2492 4.39 2.76 Reinforcement
- 6. Mid Bottom Perf Plate (Exit}/Mid Top Perf.
-15 39.9 62.9 117818 725 2484 2346 5.61 2.93 Plate (Exit}/Tie Bar
- 7. Submerged Drain Channel /Skirt(c)
-11.5 118.4
-100.5 113791 1077 3858 2321 3.61 2.96 8 Top Cover Middle Hood/Middle Hood/Shell Tie Bar 62.5
-22.2 88.9 129889 1664 2948 2280 4.73 3.01
- 9. Mid Bottom Perf Plate (Exit}/Mid Top Perf.
-46
-18.2 62.9 118079 364 2129 2107 6.55 3.26 Plate (Exit}/Tie Bar See Table 8a for notes (a)-(e).
91
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 10b. Locations with minimum stress ratios at estimated EPU conditions with frequency shifts. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to* stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure.
Locations are depicted in Figure 18.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
- Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10
-9.5 147155 8490 8490 2843 1.99 4.35 7.5
- 2. USR part/Support/Support Part 7
122.3
-9.5 147263 7201 7201 1992 2.35 6.21
-7.5
- 3. Middle Closure Plate 33.9 108.4 88.9 6647
.6111 6461 1926 2.77 6.42 5
SR-a No
- 1. Mid Plate/Tie Bar 0
-58 88.9 121293 1056 5427 4804 4.67 2.57 0
I It
- 2. Mid Plate 0
-1.7 88.6 23532 398 4869 4401 5.21 2.81
-10
- 3. Inner Hood
-35.8
-81.9 38.2 49770 334 3165 3076 8.01 4.02
-7.5 SR-P Yes **
TopCover'inne'riýEod/MiddIl'e 31.5) 1048,,'
88m9J 128332*
- 6832, 742*2*
2,9,7/ [i.36) 4*021 53 Clisure,'Plate/inner'Hobodlr.__.
- 2. Top Cover Middle Hood/Outer
-62.5 85 88.9 130895 6468 6862 4054 1.44 2.18 5
Closure Plate/Middle Hood
- 3. USR part/Support/Support Part 8.5.
122.2
-9.5 147265 4316 4316.
964 2.15 7.13 10
" 4. Splice Bar/USR Part
-2.2
-119 0
147130 4071 4071 566 2.28 12.13 7.5
- 5. Submerged Drain Channel/Skirt 91
-76.7
-98.5 113874 417 5504 2014 2.53 3.41
-7.5
- 6. Submerged Drain Channel/Skirt(c) 91
-76.7
-100.5 113872 1330 5460 2570 2.55 2.67 5
- 7. Middle Base Plate/Hood 39.8
-59.8 0
128813 3545.
3591 2359 2.62 2.91 5
Support/Inner Hood(e)
- 8. Top Cover Inner Hood/Inner Hood
-31.5
-110.1 88.9
.130600 3544 3772 915 2.62.
7.51 2.5
- 9. Middle Base Plate/Vane Bank 86
-28.7 0
115276 766 5105 2083 2.73 3.30
-5
- 10. Middle Base Plate/Hood Support/Inner 39.8 0
0 133648 3278 3403 2424 2.84 2.83 5
Hood/T-beam_
- 11. Middle Cover Plate/Hood 70.8
-54.6 0
127635 3060 3445.
2885 3.04 2.38
-2.5 Support/Middle Hood See Table 8a for notes (a)-(e).
92 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 10b. Locations with minimum stress ratios at estimated EPU conditions with frequency shifts. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio orany type on the structure.
Locations are depicted in Figure 18:
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-P No
- 1. USR/Seismic Block/Support Part 122.1
-10,
-9.5 147155 8490 8490 2843 1.99 4.35 7.5 11 11
- 2. USR part/Support/Support Part 7
122.3
-9.5 147263 7201 7201 1992 2.35 6.21
-7.5 11 11
- 3. Middle Closure Plate 33.9 108.4 88.9 6647 6111 6461 1926 2.77 6.42 5
SR-a No
- 1. Mid Plate/Tie Bar 0
-58 88.9 121293 1056 5427 4804 4.67 2.57 0
11 11
- 2. Mid Plate 0
-1.7 88.6 23532 398 4869 4401 5.21 2.81
-10 11 11
- 3. Inner Hood
-35.8
-81.9 38.2 49770 334 3165 3076 8.01 4.02
-7.5
- SR:-P' [¥es:' i l!.liopiOVerrlnn.eiif.lood~\\Vnddle,,
all.s: 'I lIafM'~' f
~&~9J 1,~28,33~
&83~ I 'Z:(z,~ " Z,l!9)7,1 l
~.a6)' 14;'O~ 1:'>55
~
IClosu~e"l?late/lnne"'f.loodl:,.
't I
11 11
' 2. Top Cover Middle Hood/Outer
-62.5 85 88.9 130895 6468 6862 4054 1.44 2.18 5
Closure Plate/Middle Hood 11 11
- 3. USR part/Support/Support Part 8.5 122.2
-9.5 147265 4316 4316 964 2.15 7.13 10 11 11
- 4. Splice Bar/USR Part
-2.2
-119 0
147130 4071 4071 566 2.28 12.13 7.5 11 11
- 5. Submerged Drain Channel/Skirt 91
-76.7
-98.5 113874 417 5504 2014 2.53 3.41
-7.5 11 11
- 6. Submerged Drain ChanneI/Skirt(C) 91
~76.7 -100.5 113872 1330 5460 2570 2.55 2.67 5
11 11
- 7. Middle Base Plate/Hood 39.8
-59.8 0
128813
- 3545, 3591 2359 ' 2.62 2.91 5
Support/Inner Hood(e) 11 11
- 8. Top Cover Inner Hood/Inner Hood
-31.5
-110.1 88.9 130600 3544 3772 915 2.62, 7.51 2.5 11 11
- 9. Middle Base Plate/Vane Bank 86
-28.7 0
115276 766 5105 2083 2.73 3.30
-5 11 11
- 10. Middle Base Plate/Hood Support/Inner 39.8 0
0 133648 3278 3403 2424 2.84 2.83 5
Hood/T-beam 11 11
- 11. Middle Cover Plate/Hood 70.8
-54.6 0
127635 3060 3445 2885 3.04 2.38
-2.5 Support/Middle Hood See Table 8a for notes (a)-(e).
92
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table 10b (cont.). Locations with minimum stress ratios at estimated EPU conditions with frequency shifts. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure.
Locations are depicted in Figure 18.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-a Yes
- 1. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 5031 5337 3153 1.85 2.18 5
Plate/Middle Hood I...
- 2. Hood Support/Middle Hood
-66.6 54.6 38.9 131020 278 3251 3120 4.29 2.20
-2.5
- 3. Gusset Pad Thin/Top Cover Outer Hood/Top 91.5
-57.5 88.9 122251 348 3774 3101 3.69 2.21 5
Reinforcement
- 4. Top Cover Middle Hood/Middle Hood/Shell Tie Bar 62.5
-22.2 88.9 129889 1888 3537 2968 3.94 2.31
-7.5
- 5. Middle Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
127635 3060 3445 2885 3.04 2.38 7.5
- 6. Mid Bottom Perf Exit/Mid Top Perf Exit/Tie Bar 15 19.9 62.9 117630 416 2923 2847 4.77 2.41
-2.5
- 7. Mid Bottom Perf Exit/Mid Top Perf Exit/Tie Bar
-46 18.2 62.9 118066 633 2921 2843 4.77 2.42 10
- 8. Submerged Drain Channel/Skirt(c)
-11.5 118.4
-100.5 113791 1170 4379 2780 3.18 2.47
-10
- 9. Mid Bottom Perf Plate (Exit)/Mid Top Perf.
77
-66.9 62.9 118529 1043 2830 2717 4.93 2.53 5
Plate (Exit)/Tie Bar
- 10. Mid Bottom Perf Plate (Exit)/Mid Top Perf.
-46 36.4 62.9 118129 759 2708 2624 5.15 2.62 10 Plate (Exit)/Tie Bar
- 11. Submerged Drain Chan nel/Skirt(c)
-91
-76.7
-100.5 113764 1330 5129 2619 2.72 2.62 7.5
- 12. Hood Support/Inner Hood
-35.6
-59.8 38.9 130150 443 2662 2566 5.24 2.68
-7.5
- 13. Mid Bottom Perf Plate (Exit)/Mid Top Perf.
-15 39.9 62.9 117818 771 2821 2556 4.94 2.69
-2.5
.Plate (Exit)/Tie Bar
- 14. Hood Support/Inner Hood
-39.7
-59.8 18.8 130120 899 2718 2516 5.13 2.73
-5 See Table 8a for notes (a)-(e).
93 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Table lOb (cont.). Locations with minimum stress ratios at estimated EPU conditions with frequency shifts. Stress ratios at every node are recorded as the lowest stress ratio identified during the frequency shifts. Stress ratios are grouped according to stress type (maximum - SR-P; or alternating - SR-a) and location (away from a weld or at a weld). Bold text indicates minimum stress ratio of any type on the structure.
Locations are depicted in Figure 18.
Stress Weld Location Location (in.) (a) node(b)
Stress Intensity (psi)
Stress Ratio
% Freq.
Ratio x
y z
Pm Pm+Pb Salt SR-P SR-a Shift SR-a Yes
- 1. Top Cover Middle Hood/Outer Closure
-62.5 85 88.9 130895 5031 5337 3153 1.85 2.18 5
Plate/Middle Hood
- 2. Hood Support/Middle Hood
-66.6 54.6 38.9 131020 278 3251 3120 4.29 2.20
-2.5
- 3. Gusset Pad Thin/Top Cover Outer Hood/Top 91.5
-57.5 88.9 122251 348 3774 3101 3.69 2.21 5
Reinforcement
- 4. Top Cover Middle Hood/Middle Hood/Shell Tie Bar 62.5
-22.2 88.9 129889 1888 3537 2968 3.94 2.31
-7.5
- 5. Middle Base Plate/Hood Support/Middle Hood 70.8
-54.6 0
127635 3060 3445 2885 3.04 2.38 7.5
- 6. Mid Bottom Perf Exit/Mid Top Perf Exit/Tie Bar 15 19.9 62.9 117630 416 2923 2847 4.77 2.41
-2.5
- 7. Mid Bottom Perf Exit/Mid Top Perf Exit/Tie Bar
-46 18.2 62.9 118066 633 2921 2843 4.77 2.42 10
- 8. Submerged Drain Channel/Skirt{c)
-11.5 118.4
-100.5 113791 1170 4379 2780 3.18 2.47
-10 9: Mid Bottom Perf Plate {Exit)/Mid Top Perf.
77
-66.9 62.9 118529 1043 2830 2717 4.93 2.53 5
Plate {Exit)/Tie Bar
- 10. Mid Bottom Perf Plate {Exit)/Mid Top Perf.
-46 36.4 62.9 118129 759 2708 2624 5.15 2.62 10 Plate (Exit)/Tie Bar
- 11. Submerged Drain Channel/Skirt{c)
-91
-76.7
-100.5 113764 1330 5129 2619 2.72 2.62 7.5
- 12. Hood Support/Inner Hood
-35.6
-59.8 38.9 130150 443 2662 2566 5.24 2.68
-7.5
- 13. Mid Bottom Perf Plate {Exit)/Mid Top Perf.
-15 39.9 62.9 117818 771 2821 2556 4.94 2.69
-2.5 Plate {Exit)/Tie Bar
- 14. Hood Support/Inner Hood
-39.7
-59.8 18.8 130120 899 2718 2516 5.13 2.73
-5 See Table 8a for notes (a)-(e).
93
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17a. Locations of smallest maximum stress ratios, SR-P<4, at non-welds for nominal EPU operation. Numbers refers to the enumerated locations for SR-P values at non-welds in Table 1 a.
94 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information y
4 3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 2
Figure 17a. Locations of smallest maximum stress ratios, SR-P~4, at non-welds for nominal EPU operation. Numbers refers to the enumerated locations for SR-P values at non-welds in Table lOa.
94
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information zz Z~Z SR..a 4.9 4.7 4.5 4.3 4.1 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 Figure 1 7b. Locations of smallest alternating stress ratios, SR-a<5, at non-welds for nominal EPU operation. Numbers refers to the enumerated locations for SR-a values at non-welds in Table 10Oa.
95 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x SR-a 4.9 4.7 4.5 4.3 4.1 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 Figure 17b. Locations of smallest alternating stress ratios, SR-a~5, at non-welds for nominal EPU operation. Numbers refers to the enumerated locations for SR-a values at non-welds in Table lOa.
95
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17c. Locations of smallest maximum stress ratios, SR-P<4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 10a.
First view showing locations 1-3 and 5.
96 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 Figure 17c. Locations of smallest maximum stress ratios, SR-P:S;4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-P values at welds in Table lOa.
First view showing locations 1-3 and 5.
96
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17d. Locations of smallest maximum stress ratios, SR-P<4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 1 a.
Second view showing locations 4, 5, 7 and 9.
97 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 Figure 17d. Locations of smallest maximum stress ratios, SR-P::;4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-P values at welds in Table lOa.
Second view showing locations 4,5, 7 and 9.
97
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17e. Locations of smallest maximum stress ratios, SR-P<4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-P values at welds in Table 10a.
Second view showing locations 6-9.
98 x
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information y
SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 z
Figure 17e. Locations of smallest maximum stress ratios, SR-Ps4, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-P values at welds in Table lOa.
Second view showing locations 6-9.
98
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17f. Locations of minimum alternating stress ratios, SR-a<5, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-a values at welds in Table 10a.
First view showing locations 1, 2, 5, 6, 8 and 9.
99 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
4.9 4.7 4.5 4.3 4.1 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 Figure 17f. Locations of minimum alternating stress ratios, SR-a::;5, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-a values at welds in Table lOa.
First view showing locations 1, 2,5,6,8 and 9.
99
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 17g. Locations of minimum alternating stress ratios, SR-a<5, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-a values at welds in Table I Oa.
Second view showing locations 3, 4 and 7.
100 This Document Does Not Contain Continuum Dynamics, 1nc. Proprietary Information z
ft-x y
4.9 4.7 4.5 4.3 4.1 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 Figure 17g. Locations of minimum alternating stress ratios, SR-a:S5, at welds for nominal EPU operation. Numbers refer to the enumerated locations for SR-a values at welds in Table lOa.
Second view showing locations 3, 4 and 7.
100
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information SR-P 4
3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 2
Figure 18a.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at non-welds for EPU operation with frequency shifts. The recorded stress ratio is the minimum value taken over all frequency shifts. The numbers refers to the enumerated location for SR-P values at non-welds in Table lOb.
101 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information SR-P 4
3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 2
Figure 18a. Locations of minimum stress ratios, SR-P~4, associated with maximum stress intensities at non-welds for EPU operation with frequency shifts. The recorded stress ratio is the minimum value taken over all frequency shifts. The numbers refers to the enumerated location for SR-P values at non-welds in Table lOb.
101
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information a
Figure 18b.
Locations of smallest alternating stress ratios, SR-a<5, at non-welds for EPU operation with frequency shifts. The recorded stress ratio is the minimum value taken over all frequency shifts. The numbers refers to the enumerated location for SR-a values at non-welds in Table 10b.
102 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x-1 y
4.9 4.7 4.5 4.3 4.1 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 Figure 18b.
Locations of smallest alternating stress ratios, SR-as 5, at non-welds for EPU operation with frequency shifts. The recorded stress ratio is the minimum value taken over all frequency shifts. The numbers refers to the enumerated location for SR-a values at non-welds in Table lOb.
102
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
Y SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 Figure 1 8c.
Locations of minimum stress ratios, SR-P<!4, associated with maximum stress intensities at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table IlOb. This view shows locations 1-3 and 8.
103 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x~
y 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 1.3 Figure 18c. Locations of minimum stress ratios, SR-P~4, associated with maximum stress intensities at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table lOb. This view shows locations 1-3 and 8.
103
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 1.3 I
Figure 18d.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 10b. This view shows locations 4-6 and 8.
104 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 1.3 Figure l8d.
Locations of minimum stress ratios, SR-P:S:4, associated with maximum stress intensities at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table lOb. This view shows locations 4-6 and 8.
104
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Y
Z X..
SR-P 3.9 3.7 3.5 3,3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 1.3 Figure 18e.
Locations of minimum stress ratios, SR-P<4, associated with maximum stress intensities at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table 10b. This view shows locations 5-7 and 9-11.
105 x
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Y
Z SR-P 3.9 3.7 3.5 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 1.3 Figure l8e.
Locations of minimum stress ratios, SR-P~4, associated with maximum stress intensities at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-P values at welds in Table lOb. This view shows locations 5-7 and 9-11.
105
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 18f. Locations of minimum alternating stress ratios, SR-a_<4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 10b. This view shows locations 1, 3, 4, 7, 10 and 13.
106 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x-t\\
Figure 18f. Locations of minimum alternating stress ratios, SR-~4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table lOb. This view shows locations 1,3, 4, 7, 10 and 13.
106
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 18g. Locations of minimum alternating stress ratios, SR-a_<4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table lOb. This view shows locations 1, 3, 4, 6 and 9.
107 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
x-i y
Figure l8g. Locations of minimum alternating stress ratios, SR-a~4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table lOb. This view shows locations 1,3, 4,6 and 9.
107
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Z
Y SR-a 4
3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 Figure 18h. Locations of minimum alternating stress ratios, SR-a<4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 10b. This view shows locations 2 and 11.
108 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information z
frt-x y
SR-a 4
3.8 3.6 3.4 3.2 3
2.8 2.6 2.4 2.2 Figure 18h. Locations of minimum alternating stress ratios, SR -a::;4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table lOb. This view shows locations 2 and 11.
108
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Figure 18i. Locations of minimum alternating stress ratios, SR-a<4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table 10b. This view shows locations 5, 8, 12 and 14.
109 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information y
x-tJ Figure 18i. Locations of minimum alternating stress ratios, SR -as4, at welds for EPU operation with frequency shifts. The recorded stress ratio at a node is the minimum value taken over all frequency shifts. Numbers refer to the enumerated locations for SR-a values at welds in Table lOb. This view shows locations 5, 8, 12 and 14.
109
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 6.2 Frequency Content at EPU The same nodes whose frequency content was examined in Section 5.3 are considered here.
At EPU these nodes reappear in Table 10b as the first or limiting (node 130895), fourth (node 129889), sixth (node 117630) and eighth (node 113791) entries in the list of lowest alternating stress ratio locations. The stress PSDs and accumulative stress PSDs are reported in Figure 19 in the same order as in Section 5.3 to facilitate comparison between the plots at CLTP and EPU.
After one accounts for the overall velocity ratio-based scaling of 1.35 (which corresponds to 2
a factor of 1.35 =1.82 scaling in PSDs) the stress PSDs and accumulative PSDs at CLTP and EPU conditions are very similar. This is clearly the case for the first node 129889 which was limiting at CLTP. Moreover, its alternating stress ratio at EPU is SR-a=2.31 which is close to the value expected from scaling the CLTP value, SR-a=3.20/1.35=2.37. Similar observations hold for the second and third nodes. For the fifth node 130895 which is limiting at EPU, the curves at CLTP and EPU are still similar, but the increase over the 109-113 Hz range is higher than the velocity ratio scaling, 1.35. This is because the bump-up factor and the associated bias and uncertainty are higher in this range. Hence the increase in the peak in the stress PSD is also higher. This is ultimately reflected in the change in stress ratio from SR-a=4.16 at CLTP to SR-a=2.18 at EPU which corresponds to an increase in alternating stress intensity of 91% rather than the 35% increase resulting from a pure velocity-based scaling. For the fourth node 128553 located on the inner hood/hood support/base plate junction, the stress increase from CLTP to EPU is 54%. This is consistent with a location (such as this one - Figure 19d) with significant stress contributions from both inside and outside the 100-120 Hz frequency range, the latter receiving a 35% increase in the stress contribution and the former obtaining a higher increase. A summary of these observations and the relative stress intensity changes between CLTP and EPU is given in Table 11.
Table 11. Comparison of CLTP and EPU alternating stress ratios at selected locations.
Location Node SR-a (CLTP Freq. Shift (%) Stress Change CLTP EPU CLTP EPU
- 1. Top Cover Middle Hood/Middle 129889 3.20 2.31
-7.5
-7.5 39%
Hood/Tie Bar
- 2. Mid Bottom Perf. Plate (Exit)/Mid Top 117630 3.28 2.41
-2.5
-2.5 36%
Perf. Plate (Exit)/Tie Bar
- 3. Submerged Drain Channel/Skirt 113791 3.33 2.47
-10
-10 35%
- 4. Middle Base Plate/Hood Support/Inner Hood 128553 5.03 3.26
+5
+5 54%
- 5. Top Cover Middle Hood/Outer Closure 130895 4.16 2.18
+5
+5 91%
Plate/Middle Hood 110 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 6.2 Frequency Content at EPU The same nodes whose frequency content was examined in Section 5.3 are considered here.
At EPU these nodes reappear in Table lOb as the first or limiting (node 130895), fourth (node 129889), sixth (node 117630) and eighth (node 113791) entries in the list of lowest alternating stress ratio locations. The stress PSDs and accumulative stress PSDs are reported in Figure 19 in the same order as in Section 5.3 to facilitate comparison between the plots at CLTP and EPU.
After one accounts for the overall velocity ratio-based scaling of 1.35 (which corresponds to a factor of 1.352=1.82 scaling in PSDs) the stress PSDs and accumulative PSDs at CLTP and EPU conditions are very similar. This is clearly the case for the first node 129889 which was limiting at CLTP. Moreover, its alternating stress ratio at EPU is SR-a=2.31 which is close to the value expected from scaling the CLTP value, SR-a=3.20/1.35=2.37. Similar observations hold for the second and third nodes. For the fifth node 130895 which is limiting at EPU, the curves at CL TP and EPU are still similar, but the increase over the 109-113 Hz range is higher than the velocity ratio scaling, 1.35. This is because the bump-up factor and the associated bias and uncertainty are higher in this range. Hence the increase in the peak in the stress PSD is also higher. This is ultimately reflected in the change in stress ratio from SR-a=4.l6 at CLTP to SR-a=2.18 at EPU which corresponds to an increase in alternating stress intensity of 91 % rather than the 35% increase resulting from a pure velocity-based scaling. For the fourth node 128553 located on the inner hoodlhood supportlbase plate junction, the stress increase from CL TP to EPU is 54%. This is consistent with a location (such as this one - Figure 19d) with significant I stress contributions from both inside and outside the 100-120 Hz frequency range, the latter receiving a 35% increase in the stress contribution and the former obtaining a higher increase. A summary of these observations and the relative stress intensity changes between CL TP and EPU is given in Table 11.
Table 11. Comparison of CL TP and EPU alternating stress ratios at selected locations.
Location Node SR-a (CLTP Freq. Shift (%)
Stress Change CLTP EPU CLTP EPU
- 1. Top Cover Middle Hood/Middle 129889 3.20 2.31
-7.5
-7.5 39%
Hood/Tie Bar
- 2. Mid Bottom Perf. Plate (Exit)/Mid Top 117630 3.28 2.41
-2.5
-2.5 36%
Perf. Plate (Exit)/Tie Bar
- 3. Submerged Drain Channel/Skirt 113791 3.33 2.47
-10
-10 35%
- 4. Middle Base Plate/Hood Support/Inner Hood 128553 5.03 3.26
+5
+5 54%
- 5. Top Cover Middle Hood/Outer Closure 130895 4.16 2.18
+5
+5 91%
Plate/Middle Hood 110
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 129889, a (i~
T W
E~
E, 500 400 300 200 100 0
0 50 100 150 200 250 Frequency [Hz]
Node 129889, a 10 5 I=
Cl) 104 1000~ j 100 10~
S rt' 9
Noshift 0.1 1'
0.01 0
50 100 150 200 250 Frequency [ Hz ]
Figure 19a. Accumulative PSD and PSD of the cyzz stress response at node 129889 at EPU.
111 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information en
- 0.
N I --
""-en
- 0.
0 (J)
- 0.
en en (1) b (J) 500 400 300 200 100 o
o 50 105 104 1000 100 10 o
50 Node 129889, a zz I
- 1"!'_._... 3-_.~~
- - *** ;-"'-.-.-" ******** J!r."'.
.,;r
- r
/
i j
100 150 Frequency [ Hz 1 Node 129889, azz 100 150 Frequency [Hz 1
No shift
_ ** -7.5% sh ift 200 200 250 250 Figure 19a. Accumulative PSD and PSD of the CYzz stress response at node 129889 at EPU.
111
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 117630, c CO, M
E E.
400 350 300 250 200 150 100 50 0
0 50 100 150 200 250 Frequency [ Hz]
Node 117630, a 10 6 105 Noshfft
-2.5% shift NM 0~
U)
U) 10 4 1000 100 10 0.1 0.01 100 150 200 250 0
50 Frequency [ Hz ]
Figure 19b. Accumulative PSD and PSD of the ozz stress response at node 117630 at EPU.
112 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information en a.
N I
~
en a.
0 Cf)
- a.
en en Q)
.b Cf) 400 350 300 250 200 150 100 50 o
10 6
105 10' 1000 100 10 0.1 0.01 Node 117630, C1zz
---r~
.... -... -...... -... ~~-.. ~
--::_:_:;;j~_~
.. :::.. :... :... ~-:
=.~-:-~"""~.:
.-~
- l o
50 100 150 Frequency [ Hz 1 Node 117630, C1 zz
No shift
-2.5% shift 200
~
- e-Noshift
-2.5% shift L I JvIJ'i...
'1............ *.*.*......'.
f:
i
- r
~
- ~
1 I
~
I
/'
1 r, ~.'-
i 1
1 1(
\\
1
~
~
I.
r Ii
,,[
i If i
r I
o 50 100 150 200 Frequency [Hz 1 250 250 Figure 19b. Accumulative PSD and PSD of the crzz stress response at node 117630 at EPU.
112
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 113791, aYY U)
E~
EM 700 600 500 400 300 200 100 0
50 100 150 200 0
250 Frequency [ Hz ]
Node 113791, a.
10 6 105 N
0 U)
Cl-U) 104 1000 100
-- A 10 1 I 0.1 Nohf
-1%shf 0.01 0
50 100 1 50 200 250 Frequency [ Hz ]
Figure 19c. Accumulative PSD and PSD of the (Tyy stress response at node 113791 at EPU.
113 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information II)
Co rN 0'
(/)
0-Q.)
.~
ro E
E
- J
()
- J.
N :c --
II)
Co 0
(/)
0-II)
II)
Q.)
.b
(/)
700 600 500 400 300 200 100 0
106 105 10 4
1000 100 10 Node 113791, (J yy r
1 1
.,.."._..."............ 8---.. ***-
7*-**~-**~
- ___..---+-..-,
~-. :
0
,...r
............... :.. j...
j
...... :)
'. f i..
...... j:
50 100 150 Frequency [ Hz 1 Node 113791, (J yy
~
-'-Noshift
......... -10% shift 200 e -
Noshift J
- 10% shift
-.............. '.. ~
- f/ * !.. ~
i..... A (
I
~
I
- r* 1
-r ~ : ! ; if l :: "
\\
250 J~
0.11 L ____
-1.-___
0.01 o
50 100 150 200 250 Frequency [Hz 1 Figure 19c. Accumulative PSD and PSD of the (Jyy stress response at node 113791 at EPU.
113
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 128553, a E0 E~
=3 700 600 500 400 300 200 100 0
No s.hift 50 100 1
0 50 200 250 Frequency [ Hz ]
Node 128553, a 106 105 N
CO
+5%
shift]
10 4 1000 100 10 f II j
itI 1
0.1 0.01 50 0
100 150 200 250 Frequency [ Hz ]
Figure 19d. Accumulative PSD and PSD of the axx stress response at node 128553 at EPU.
114 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information (J)
Q..
N I --
~-
(J)
Q..
0
(/)
a..
(J)
(J)
Q)
.l:>
(/)
700 600 500 400 300 200 100 o
106 105 10 4
1000 100 10 0.1 0.01 o
50 Node 128553, cr xx
.....-.",.F.-..:-~*--*."....p.... *.. ~*.".-..!-**-**~*-
r j.
,...---.~~-".
i r
100 150 Frequency [ Hz 1 Node 128553, cr xx
No shift
.......... - +5% shift 200
- e-Noshift
+5% shift 250 A
......... *At....... '/J~~... -.............. "
~""\\'....... "1
.: i~~~
o 50 100 150 200 250 Frequency [Hz 1 Figure 19d. Accumulative PSD and PSD of the O'xx stress response at node 128553 at EPU.
114
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information Node 130895, a CO)
M-E E
600 500 400 300 200 100 0
[No sh s.h-.+t 50 100 150 200 250 0
Frequency [ Hz ]
Node 130895, a 10 6 NM C/)
C,)
1 104 000-100 10 j
0.1
-[0-N sift]
0.01 0
50 100 150 200 250 Frequency [ Hz ]
Figure 19e. Accumulative PSD and PSD of the crxx stress response at node 130895 at EPU.
115 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information 600
(/)
500 0..
~
0" 400 CI) a..
CIl
.2!:
10 300 E
E
- l
()
200
- i.
100 0
0 I
10 5 r-'"
N 10 4
J: --
(/)
0..
1000 0
CI) a..
100
(/)
(/)
CIl
.P 10 CI) 0.1 0.01 o Node 130895, cr xx
~
"';'e-~ ****** p __ r_,-~-..... ---...
..... _.-t=--
- i
............ '.... Ll :;,." ~~~~~-----1 50 100 150 Frequency [ Hz 1 Node 130895, cr xx
--.-- No shift
_........ +5% shift 200
_____ No shift
+5% shift
,. ". 0 n
- J JJt *.
~.. (.KJ.... *V*. 'i.. \\f1
. ~~,t-V~'1 '.. '
1~ \\
i i !.'
1 !' \\
~""
50 100 150 200 Frequency [Hz 1 250 250 Figure 1ge. Accumulative PSD and PSD of the <Jxx stress response at node 130895 at EPU.
115
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 7. Conclusions A frequency-based steam dryer stress analysis has been used to calculate high stress locations and calculated / allowable stress ratios for the Browns Ferry Unit 2 steam dryer at CLTP load conditions using plant measurement data.
A detailed description of the frequency-based methodology and the finite element model for the BFN2 steam dryer is presented. The CLTP loads obtained in a separate acoustic circuit model [2, 3, 10], including end-to-end bias and uncertainty for both the ACM and FEA, were applied to a finite element model of the steam dryer consisting mainly of the ANSYS Shell 63 elements, brick continuum elements, and beam elements.
The resulting stress histories were analyzed to obtain maximum and alternating stresses at all nodes for comparison against allowable levels.
For added conservatism, no low power-based signal filtering is attempted in the current analysis. The stresses resulting from the application of CLTP loads to the steam dryer are tabulated in Table 9 of this report. The minimum alternating stress ratio at nominal operation is SR-a=3.61 and the minimum alternating stress ratio taken over all frequency shifts is SR-a=3.20.
The stress ratios corresponding to maximum stresses are SR-P=1.63 at nominal operation and 1.53 when all frequency shifts are considered. The results show that the new tie-bars with widened and tapered ends, and the thicker 1 in hood with external channel reinforcements replacing the interior hood supports result in significantly lower stresses.
On the basis of these CLTP plant loads, the dynamic analysis of the steam dryer shows that the combined acoustic, hydrodynamic, and gravity loads produces the following minimum stress ratios.
Table 12. Variation of limiting stress ratios with frequency shift at CLTP Frequency Shift Minimum Stress Ratio at CLTP Max. Stress, Alternating Stress, SR-P SR-a 0% (nominal) 1.63 3.61
-10%
1.65 3.29
-7.5%
1.59 3.20
-5%
1.61 3.48
-2.5%
1.62 3.28
+2.5%
1.59 3.85
+5%
1.53 3.67
+7.5%
1.56 3.48
+10%
1.57 3.46 All shifts 1.53 - 1.65 3.20-3.85 Limiting 1.53 3.20 EPU stresses are estimated using two methods. The first scales the CLTP stresses by the square of the steam flow velocity ratio, (UEPU/UCLTP) 2=l.35. The second method utilizes the 116 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 7. Conclusions A frequency-based steam dryer stress analysis has been used to calculate high stress locations and calculated / allowable stress ratios for the Browns Ferry Unit 2 steam dryer at CLTP load conditions using plant measurement data.
A detailed description of the frequency-based methodology and the finite element model for the BFN2 steam dryer is presented. The CL TP loads obtained in a separate acoustic circuit model [2, 3, 10], including end-to-end bias and uncertainty for both the ACM and FEA, were applied to a finite element model of the steam dryer consisting mainly of the ANSYS Shell 63 elements, brick continuum elements, and beam elements.
The resulting stress histories were analyzed to obtain maximum and alternating stresses at all nodes for comparison against allowable levels.
For added conservatism, no low power-based signal filtering is attempted in the current analysis. The stresses resulting from the application of CL TP loads to the steam dryer are tabulated in Table 9 of this report. The minimum alternating stress ratio at nominal operation is SR-a=3.61 and the minimum alternating stress ratio taken over all frequency shifts is SR-a=3.20.
The stress ratios corresponding to maximum stresses are SR-P=1.63 at nominal operation and 1.53 when all frequency shifts are considered. The results show that the new tie-bars with widened and tapered ends, and the thicker 1 in hood with external channel reinforcements replacing the interior hood supports result in significantly lower stresses.
On the basis of these CL TP plant loads, the dynamic analysis of the steam dryer shows that the combined acoustic, hydrodynamic, and gravity loads produces the following minimum stress ratios.
Table 12. Variation of limiting stress ratios with frequency shift at CLTP Frequency Shift Minimum Stress Ratio at CL TP Max. Stress, Alternating Stress, SR-P SR-a 0% (nominal) 1.63 3.61
-10%
1.65 3.29
-7.5%
1.59 3.20
-5%
1.61 3.48
-2.5%
1.62 3.28
+2.5%
1.59 3.85
+5%
1.53 3.67
+7.5%
1.56 3.48
+10%
1.57 3.46 All shifts 1.53 -1.65 3.20-3.85 Limiting 1.53 3.20 EPU stresses are estimated using two methods. The first scales the CL TP stresses by the square of the steam flow velocity ratio, (UEPU/UCLTP)2=1.35. The second method utilizes the 116
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information bump up factors developed in [4] over the 100-120 Hz frequency interval and the velocity scaling (1.35) at all other frequencies.
The limiting stress ratios using these methods are summarized for each frequency shift in the table below. The limiting alternating stress ratios at any frequency shift are: 2.37 with velocity scaling (Method 1) and 2.18 when bump up factors are used over the 100-120 Hz range (Method 2). In all cases the alternating stress ratio remains above 2.0, thus qualifying the steam dryer for EPU operation with regard to stress evaluation.
Table 13. Variation of limiting stress ratios with frequency shift at CLTP Frequency Shift Method 1 Method 2 Alt. Stress, Max. Stress, Alt. Stress, SR-a SR-P SR-a 0% (nominal) 2.68 1.51 2.55
-10%
2.44 1.56 2.44
-7.5%
2.37 1.49 2.31
-5%
2.57 1.51 2.44
-2.5%
2.43 1.50 2.20
+2.5%
2.58 1.47 2.51
+5%
2.50 1.36 2.18
+7.5%
2.68 1.45 2.38
+10%
2.57 1.47 2.42 All shifts 2.37-2.68 1.36-1.56 2.18-2.55 Limiting 2.37 1.36 2.18 117 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information bump up factors developed in [4] over the 100-120 Hz frequency interval and the velocity scaling (1.35) at all other frequencies.
The limiting stress ratios using these methods are summarized for each frequency shift in the table below. The limiting alternating stress ratios at any frequency shift are: 2.37 with velocity scaling (Method 1) and 2.18 when bump up factors are used over the 100-120 Hz range (Method 2). In all cases the alternating stress ratio remains above 2.0, thus qualifying the steam dryer for EPU operation with regard to stress evaluation.
Table 13. Variation of limiting stress ratios with frequency shift at CLTP Frequency Shift Method 1 Method 2 Alt. Stress, Max. Stress, Alt. Stress, SR-a SR-P SR-a 0% (nominal) 2.68 1.51 2.55
-10%
2.44 1.56 2.44
-7.5%
2.37 1.49 2.31
-5%
2.57 1.51 2.44
-2.5%
2.43 1.50 2.20
+2.5%
2.58 1.47 2.51
+5%
2.50 1.36 2.18
+7.5%
2.68 1.45 2.38
+10%
2.57 1.47 2.42 All shifts 2.37-2.68 1.36 -1.56 2.18 - 2.55 Limiting 2.37 1.36 2.18 117
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 8. References
- 1.
Continuum Dynamics, Inc. (2008), Stress Assessment of Browns Ferry Nuclear Unit 2 Steam Dryer with Outer Hood and Tie-Bar Reinforcements, Rev. 0, C.D.I. Report No.08-20P (Proprietary), November.
- 2.
Continuum Dynamics, Inc. (2008), Acoustic and Low Frequency Hydrodynamic Loads at CLTP Power Level on Browns Ferry Nuclear Unit 2 Steam Dryer to 250 Hz with Noise Removed, Rev. 1, C.D.I. Report No.08-05P (Proprietary).
- 3.
Continuum Dynamics, Inc. (2005), Methodology to Determine Unsteady Pressure Loading on Components in Reactor Steam Domes (Rev. 6), C.D.I. Report No. 04-09 (Proprietary).
- 4.
Continuum Dynamics, Inc. (2008), Flow-Induced Vibration in the Main Steam Lines at Browns Ferry Nuclear Units 1 and 2, With and Without Acoustic Side Branches, and Resulting Steam Dryer Loads, C.D.I. Report No.08-14P (Proprietary).
- 5.
Continuum Dynamics, Inc. (2009), Stress Assessment of Browns Ferry Nuclear Unit 1 Steam Dryer with Tie-Bar Modifications, Rev. 3, C.D.I. Report No.08-15P (Proprietary),
March.
- 6.
ASME Boiler and Pressure Vessel Code,Section III, Subsection NG (2007).
- 7.
Continuum Dynamics, Inc. (2009), Stress Assessment of Browns Ferry Nuclear Unit 1 Steam Dryer to 120% OLTP Power Level, Rev. 0, C.D.I. Report No.09-25P (Proprietary), August.
- 8.
Continuum Dynamics, Inc. (2008), Stress Assessment of Browns Ferry Nuclear Unit 2 Steam Dryer, Rev. 1, C.D.I. Report No.08-07P (Proprietary).
- 9.
Continuum Dynamics, Inc. (2008), Stress Assessments of Browns Ferry Nuclear Unit 2 Steam Dryer with Tie Bar and Hood Modifications, Rev. 0, C.D.I. Report No.08-16P (Proprietary).
- 10.
Continuum Dynamics, Inc. (2007),- Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements, with the Inclusion of a Low Frequency Hydrodynamic Contribution, C.D.I. Report No.07-09P (Proprietary).
- 11.
Structural Integrity Associates, Inc. (2006), Main Steam Line 100% CLTP Strain Data Transmission, SIA Letter Report No. GSZ-06-017.
- 12.
ANSYS URL: http://www.ansys.com, ANSYS Release 10.0 Complete User's Manual Set.
- 13.
Continuum Dynamics, Inc. (2007), Response to NRC Request for Additional Information on the Hope Creek Generating Station, Extended Power Uprate, RAI No. 14.110.
- 14.
Continuum Dynamics, Inc. (2008), Stress Assessment of Browns Ferry Nuclear Unit 1 Steam Dryer, Rev. 0, C.D.I. Report No.08-06P (Proprietary).
- 15.
Press, W.H., et al., Numerical Recipes. 2 ed. 1992: Cambridge University Press.
- 16.
O'Donnell, W.J., Effective Elastic Constants For the Bending of Thin Perforated Plates With Triangular and Square Penetration Patterns. ASME Journal of Engineering for Industry, 1973. 95: p. 121-128.
- 17.
Idel'chik, I E. and E. Fried, Flow Resistance, a Design Guide for Engineers. 1989, Washington D.C.: Taylor & Francis. pg. 260.
- 18.
de Santo, D.F., Added Mass and Hydrodynamic Damping of Perforated Plates Vibrating In Water. Journal of Pressure Vessel Technology, 1981. 103: p. 175-182.
- 19.
Continuum Dynamics, Inc. (2007), Dynamics of BWR Steam Dryer Components, C.D.I.
Report No.07-11P.
118 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 8. References
- 1.
Continuum Dynamics, Inc. (2008), Stress Assessment of Browns Ferry Nuclear Unit 2 Steam Dryer with Outer Hood and Tie-Bar Reinforcements, Rev. 0, C.D.1. Report No.08-20P (Proprietary), November.
- 2.
Continuum Dynamics, Inc. (2008), Acoustic and Low Frequency Hydrodynamic Loads at CLTP Power Level on Browns Ferry Nuclear Unit 2 Steam Dryer to 250 Hz with Noise Removed, Rev. 1, C.D.!. Report No.08-05P (Proprietary).
- 3.
Continuum Dynamics, Inc. (2005), Methodology to Determine Unsteady Pressure Loading on Components in Reactor Steam Domes (Rev. 6), C.D.1. Report No. 04-09 (Proprietary).
- 4.
Continuum Dynamics, Inc. (2008), Flow-Induced Vibration in the Main Steam Lines at Browns Ferry Nuclear Units 1 and 2, With and Without Acoustic Side Branches, and Resulting Steam Dryer Loads, C.D.1. Report No.08-14P (Proprietary).
- 5.
Continuum Dynamics, Inc. (2009), Stress Assessment of Browns Ferry Nuclear Unit 1 Steam Dryer with Tie-Bar Modifications, Rev. 3, C.D.1. Report No.08-15P (Proprietary),
March.
- 6.
ASME Boiler and Pressure Vessel Code, Section IlL Subsection NG (2007).
- 7.
Continuum Dynamics, Inc. (2009), Stress Assessment of Browns Ferry Nuclear Unit 1 Steam Dryer to 120% OLTP Power Level, Rev. 0, C.D.1. Report No.09-25P (Proprietary), August.
- 8.
Continuum Dynamics, Inc. (2008), Stress Assessment of Browns Ferry Nuclear Unit 2 Steam Dryer, Rev. 1, C.D.1. Report No.08-07P (Proprietary).
- 9.
Continuum Dynamics, Inc. (2008), Stress Assessments of Browns Ferry Nuclear Unit 2 Steam Dryer with Tie Bar and Hood Modifications, Rev. 0, C.D.1. Report No.08-16P (Proprietary).
- 10.
Continuum Dynamics, Inc. (2007),- Methodology to Predict Full Scale Steam Dryer Loads from In-Plant Measurements, with the Inclusion of a Low Frequency Hydrodynamic Contribution, C.D.1. Report No.07-09P (Proprietary).
- 11.
Structural Integrity Associates, Inc. (2006), Main Steam Line 100% CLTP Strain Data Transmission, SIA Letter Report No. GSZ-06-017.
- 12.
ANSYS URL: http://www.ansys.com.ANSYSRelease 10.0 Complete User's Manual Set.
- 13.
Continuum Dynamics, Inc. (2007), Response to NRC Request for Additional Information on the Hope Creek Generating Station, Extended Power Uprate, RAI No. 14.110.
- 14.
Continuum Dynamics, Inc. (2008), Stress Assessment of Browns Ferry Nuclear Unit 1 Steam Dryer, Rev. 0, C.D.1. Report No.08-06P (Proprietary).
- 15.
Press, W.H., et aI., Numerical Recipes. 2 ed. 1992: Cambridge University Press.
- 16.
O'Donnell, W.J., Effective Elastic Constants For the Bending of Thin Perforated Plates With Triangular and Square Penetration Patterns. ASME Journal of Engineering for Industry, 1973. 95: p. 121-128.
- 17.
Idel'chik, I E. and E. Fried, Flow Resistance, a Design Guide for Engineers. 1989, Washington D.C.: Taylor & Francis. pg. 260.
- 18.
de Santo, D.F., Added Mass and Hydrodynamic Damping of Perforated Plates Vibrating In Water. Journal of Pressure Vessel Technology, 1981. 103: p. 175-182.
- 19.
Continuum Dynamics, Inc. (2007), Dynamics of BWR Steam Dryer Components, C.D.1.
Report No.07-11P.
118
This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 20.
U.S. Nuclear Regulatory Commission (2007), Comprehensive Vibration Assessment Program for Reactor Internals During Preoperational and Initial Startup Testing, Regulatory Guide 1.20, March.
- 21.
Weld Research Council (1998), Fatigue Strength Reduction and Stress Concentration Factors For Welds In Pressure Vessels and Piping, WRC Bulletin 432.
- 22.
Pilkey, W.D., Peterson's Stress Concentration Factors, 2nd ed. 1997, New York: John Wiley. pg. 139.
- 23.
Lawrence, F.V., N.-J. Ho, and P.K. Mazumdar, Predicting the Fatigue Resistance of Welds. Ann. Rev. Mater. Sci., 1981. 11: p. 401-425.
- 24.
General Electric (GE) Nuclear Energy, Supplement 1 to Service Information Letter (SIL) 644, "BWR/3 Steam Dryer Failure, " September 5. 2003.
- 25.
Tecplot, Inc. (2004), URL: http://www.tecplot.com, Documentation: Tecplot User's Manual Version 10 Tecplot, Inc., October.
- 26.
Continuum Dynamics, Inc. (2008), Stress Assessment of Browns Ferry Nuclear Unit 1 Steam Dryer with Tie-Bar Modifications, Rev. 2, C.D.I. Report No.08-15P (Proprietary).
- 27.
Structural Integrity Associates, Inc. (2008), Shell and Solid Sub-Model Finite Element Stress Comparison, Rev. 2, Calculation Package, 0006982.301, Oct. 17.
- 28.
Structural Integrity Associates, Inc. (2009), Steam Dryer Hood Stiffener Stress Relief Modification Stress Reduction Factor (SRF) Computation, SIA Calculation Package 0900833.302, Revision 0, August 19.
119 This Document Does Not Contain Continuum Dynamics, Inc. Proprietary Information
- 20.
U.S. Nuclear Regulatory Commission (2007), Comprehensive Vibration Assessment Program for Reactor Internals During Preoperational and Initial Startup Testing, Regulatory Guide 1.20, March.
- 21.
Weld Research Council (1998), Fatigue Strength Reduction and Stress Concentration Factors For Welds In Pressure Vessels andPiping, WRC Bulletin 432.
- 22.
Pilkey, W.D., Peterson's Stress Concentration Factors, 2nd ed. 1997, New York: John Wiley. pg. 139.
- 23.
Lawrence, F.V., N.-J. Ro, and P.K. Mazumdar, Predicting the Fatigue Resistance of Welds. Ann. Rev. Mater. Sci., 1981. 11: p. 401-425.
- 24.
General Electric (GE) Nuclear Energy, Supplement 1 to Service Information Letter (SIL) 644, "BWRl3 Steam Dryer Failure," September 5.2003.
- 25.
Tecplot, Inc. (2004), URL: http://www.tecplot.com. Documentation:
Tecplot User's Manual Version 10 Tecplot, Inc., October.
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Continuum Dynamics, Inc. (2008), Stress Assessment of Browns Ferry Nuclear Unit 1 Steam Dryer with Tie-Bar Modifications, Rev. 2, C.D.I. Report No.08-15P (Proprietary).
- 27.
Structural Integrity Associates, Inc. (2008), Shell and Solid Sub-Model Finite Element Stress Comparison, Rev. 2, Calculation Package, 0006982.301, Oct. 17.
- 28.
Structural Integrity Associates, Inc. (2009), Steam Dryer Hood Stiffener Stress Relief Modification Stress Reduction Factor (SRF) Computation, SIA Calculation Package 0900833.302, Revision 0, August 19.
119
ENCLOSURE 3 TENNESSEE VALLEY AUTHORITY BROWNS FERRY NUCLEAR PLANT (BFN)
UNITS 1, 2, AND 3 TECHNICAL SPECIFICATIONS (TS) CHANGES TS-431 AND TS-418 EXTENDED POWER UPRATE (EPU)
CDI AFFIDAVIT Attached is the CDI affidavit for the proprietary information contained in Enclosure 1.
ENCLOSURE 3 TENNESSEE VALLEY AUTHORITY BROWNS FERRY NUCLEAR PLANT (BFN)
UNITS 1, 2, AND 3 TECHNICAL SPECIFICATIONS (TS) CHANGES TS-431 AND TS-418 EXTENDED POWER UPRATE (EPU)
CDI AFFIDAVIT Attached is the COl affidavit for the proprietary information contained in Enclosure 1.
irCo-ntinuum ~Dyn~am~ic's;,-Ic.
(609).538-0444 (609).538-0464 fax
-34LTxingtonAvenue. Ewing, NJ 08618--2302 AFFIDAVIT Re:
C.D.I. Report No.09-13P "Stress Assessment of Browns Ferry Nuclear Unit 2 Steam Dryer with Steam Dam, Outer Hood and Tie-Bar Reinforcements" Revision 1 1, Alan 1. Bilanin, being duly sworn, depose and state as follows:
1I hold the position of President and Senior Associate of Continuum Dynamics, Inc. (hereinafter referred to as C.D.L.), and I am authorized to make the request for withholding from Public Record the Information contained: in the documents described in Paragraph 2.. This Affidavit is submitted to the Nuclear Regulatory Commission (NRC) pursuant to 10 CFR 2.390(a)(4) based on the fact that the attached information consists of trade secret(s) of C.D.I. and that the NRC will receive the information from C.D.I. under privilege and in confidence.
- 2.
'The Information sought to be withheld, as transmitted to TVA Browns Ferry as attachment to C.D.I. Letter No. 09174 dated 29 October 2009,C.D.I. Report No.09-13P "Stress Assessment of Browns Ferry Nuclear Unit 2 Steam Dryer with Steam Darn, Outer Hood and Tie-Bar Reinforcements," Revision 1
- 3.
The Information summarizes:
(a) a process or method,, including supporting data and analysis; where prevention of its use by C.D...'s competitors:without license from C.D.T. constitutes a competitiýieadvantage over othercompanies; (b): Inffrmation. which, if Used by a competitor, would reduce his expenditure of resources or improve his competitive position in the design, ma nufactture, r
shipimnent; instalatiofi, as Isurance ofocuadlity, or licensing of asimila" product; (c); Info.rmationi.which discloses patentable subject matter for which it may :be desirable t6,obtain patent protection.
The infofmation' sought to be withheld is considered to be,propietiryo for -the.
reasons' set fo6th in paragraphs 3(a), 3(b):and3(c)above.
4.:
he In P6 rm'fi or n has been b
held Jinh. con fidence by C.D.T., iJ& owner.
The; infoimatio nhas consistently.::be'.n he1d ii *hoii dnce by C.D'. aii,`L:n 6o publi&
"disclosisr'as been made and it is noii6t ýailable rto the public,> ýAi Idiscflsures tt6o, j-third: p'ties, whichh have been linited;- have been made pursuafit t6 the terms an4.:
conditions contained in C.D.ls N6ndisclopsue Secrecy Agreemerit which iust be:_
fully executed prior to disclosure.,
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- (609).538-0444'(~O,~)~~~:q,~?:1J~X.:'?,~ '.
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Re:
C.D.l. Report No.09-13P "Stress Assessment of Browns FerryNuclear Unit 2 Steam Dryer with Steam Dam, Outer Hood and Tie-Bar Reinforcements;"
Revision l' I, Alan.l. Bilariin, being duly sworn, depose and state as follows:
- 1.
I hold the position of President and Senior Associate of Continuum' Dynanlics, Inc. (hereinafter referred to as C.DJ.), and I am l:llithorized to make the reque~t for withh()lding from Public Record the Information contained in the documents described in Paragraph 2. This Affidavit is submitted to the Nuclear Regulatory Commission (NRC) pursuant to 10 CFR 2.390(a)(4) based on the fact that the attached information consists of trade secretes) of C.D.I. and that the NRC will receive the information from C.D.1. under privilege and in confidence.
- 2.
The Information sought to be withheld, as transmitted to TVA Browns Ferry as attachment to C.D.I. Letter No. 09174 dated 29 October 2009,.C.D.I. Report No.09-13P "Stress Assessinent of Browns Ferry Nuclear Unit 2 St'eam Dryer with Steam Dam, Outer Hood and Tie-Bar Reinforcements," Revision 1
- 3.
The Informatibn summarizes:
(a) a processor methQd,incluqing supporting data and analysis, where,prevel1tion.
. of its use by C.DJ.'s competitorsWitnout license fTbmCD:i. constitutes a:
..C(}rrilx~t,iti\\fe,!adv,ant~geQy~r other companies;.
.. ".'.* ' *....,..'u.'
'~bj]I1formation w4ich;if u~~,d bya competitor,' would reduc~hisexpellditur~9f* *.*
res6urcSsQr *. impro"e.:,.his,'corpp,ctitiveposition in th~ qcsign,.rl1,~uf~<;fure,,.
shi pirieh~"i.ii§t~naHon"assuranceofcjuality, or. liCensing ofasilllilarproduct;
. (c);Infqril1atlon'whichdis~~osespatel~table 'Sllbjectmatter for wfiichh maybe.
... d~~iraB,e.to'oOtainpatentprotectl()h.,
The'*.iPfor.rl1aiiqn'.* s()~~9t~()~<e.'Withheld*-isc6nsidered to' be.,pt()pri~t~rY,iorthe*.*.
r~as,oriss,eff0l'th inpafagr~:e~s. 3<~);3(b)~lld1(c ) above.
4.* ****~:~~l~J~I~;~~W~d~~~~~!:~~~!1e:: :Z~;ri~I~I'E~~~~i..*....
. *. * :~~~~it~le~d~~'£~tili'~~)~~~;i~gi~~ta1~~e*~~:eac~Xi~:~~J.Jt~~fc~:Js~b~**: **. * *.*
full ;;exectit~driortodisc1()sure.. ***
...... Y,."
,.,.... ".. p.,.:..... ".:..................
- 5.
The Information is a ty custoiarily.held in_ cofidehby C.IJ.
- andthi*ere is a..
rational basis thlerefore. The' Infonrmation is a type, which C.D.I. con'siders trade.
secret mid, is ýheld in, odenfice,'by" C.D.' Ibeause'jficonstitaitbSi a source of competitive adyantage
- i.the competition and performance ofIsuch work in the:
induistry.' Public' disl'osurefe';:Yqf the Infornnation isg'likely to *cause -.substantial harm
-to C.D,.I.s competitive Position and foreclose orreduethe availabiity of profit-,.
making opportunities.:
I declare under penalty of perjury that the foregoing affidavit and the matters stated therein are true and correct to be the best of my knowledge, information and belief.
Executed on this &L day of'L
- oŽi -*--
2009.
Alan.1..Bilanin Continuum Dynamics, Inc.
Subscribed and sworn before me this day:
C y4:
EILEEN P BURMEISTER NOTARY PUBLIC'OF NEW JERSEY..
MY COMM.EXPIRES MAY 6, 2012 I"~
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- **** *.~&IO~1efte~!o~Pr~~~jI~T(~ri~~Pis~i~,~~~~W~~~11~~~~:tr~d:..
':'secret:and, isl)dd,in:'§ofrfi,derice'by'C.n.L "be~~use: it~Jconstit4tes;a:s6urce of.,,'
.,,'c6rtipbtlfive~dYantage:lh"~\\6'~: ¢bll.petit,lon and :nerf(,rrit:~ce.Qf,::~D~h,Wbrk' ih the: '
"iHdilstry.,Pllblic' disC]osurWqftlie)p,fonnation is:likelyt.ocaus~s:Uh$ta,.ntiar hwm toC:OJ. ':s cornpetitiv~ p'osiiibri~d foreCloseorieduce>theavail~bilit)' of profit -,'
rnakillgopportunities. ' < " ',
I declare under penalty of perjury that the foregoing affidavit and the matters stated therein are true and correct to be the best of my knowleclge, information and belief.
~/) ~,
- II Executed on this ex? day of l)k..,+o t@~'/L--,--__ 2009.
Subscribed and sworn before me this day:
c;J.' '~Q '
"*U'<<,
,."';*'een~' eisf,
'~ltEENP. BURMEISTE~<
,.** N9!A~YPUBiJCOF NEW JERSEY,"
,MY COMM, EXPIRES MAy 6,2012 t".
Alanr?!::: ftfJ-~
Continuum Dynamics, Inc.