ML20214K266
| ML20214K266 | |
| Person / Time | |
|---|---|
| Site: | Byron  |
| Issue date: | 05/22/1987 |
| From: | Ainger K COMMONWEALTH EDISON CO. |
| To: | NRC OFFICE OF ADMINISTRATION & RESOURCES MANAGEMENT (ARM) |
| References | |
| RTR-NUREG-CR-1677 TAC-64799, NUDOCS 8705280388 | |
| Download: ML20214K266 (30) | |
Text
.....
DC$;
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%'y conNnon m um on ij One P.rst fJational Plaza. CNcago, Mnois i
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N Reply tx Post Omce Box 767
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CNeago, Enois 60690 0767 s
i I
May 22, 1987 U.S. Nuclear Regulatory Commission Attn: Document Control = Desk.
Washington,'DC 20555 l
Subject:
Byron Station Unit /l Snubber Reduction Program TAC No. 64799 I-NRC Docket No. 50-454 1-Reference (a): March 3, 1987 letter'from
-i K.A. Ainger to H.R. Denton Gentlemen:
i l
Reference (a) discussed the Byron Unit.'l Snubber Reduction.
]
Program. The OPTPIPE computer program was-utilized to reanalyze selected Unit 1. piping systems to: justify elimination of snubbers. Reference (a) j included-an explanation of the expected cause of deviations in the t
comparison of the OPTPIPE computer program solutions to the'NUREG/CR-1677, Volume II, benchmark problem.No. 4.
The cause of the deviations in the comparison was attributed to differences in the problem solved in,the-NUREG/CR-1677 versus the one solved using OPTPIPE.. Although NUTECH hadL l
performed a thorough review of the input data in NUR8G/CR-1677 with that used in OPTPIPE, a difference between the two inputs was suspected buticould j
not be found.
i As a result.of recent discussions with the NRC staff and subsequent i
. discussions with Brookhaven National Laboratory (the authors of NUREG/CR-1677), NUTECH requested and'obtained the actual benchmark problem y
No. 4 input and output.
In reviewing this data, NUTECH determined that the "X" coordinate at' node 162 of the piping model, which NUTECH had read as.
-533.884 from their copy of NURBG/CR-1677, was actually -553.884.
This resulted in a 20 inch difference in pipe segment length'between the OPTPIPE and NUREG/CR-1677 models. NUTECH has rerun OPTPIPE with the revised length-and the results from OPTPIPE now compare favorably with' the NUREG/CR-1677 -
results.
8705280388 870522 PDR ADOCK 05000454 l
P PpR 3 I 4
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e.
- NUTECH has updated the comparison tables from the OPTPIPE verification report to include the corrected results. These tables are attached to this letter.
Correction of the discrepancy identified abcVe should resolve concerns regarding the comparison of the OPTPIPE computer program solutions to NUREG/CR-1677 benchmark problem No. 4.
Please direct any questions regarding this matter to this office.
Very truly yours, K. A. Ainger Nuclear Licensing Administrator Attachment cc: Byron Resident Inspector NRC Region III Office 3112K l
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J TABLE K 1 BENCHMARK PROBLEM No. 4
^
MATURAL FREQUENCIES j
- ( CYCLES / SECOND )
[1]
MODE OPTPPE NUREG/CR-1677 OEVIATION PAJMBER M SLLTS 1
2.61211-2.612 0.00%
2 2.91445 -
2.914 0.02%
3 4.33754 4.337 0.01 %
4 4.65966 4.660 0.01 %
5 5.73379 5.734 0.00%
6 5.63264 5.633 -
0.01 %
7
- 7.35897 7.359 0.00%
6 7.76916 7.769 0.00%
9 9.95220 9.952 0.00%
10 10.32940 10.330 0.01 %
11 10.67910 10.660 0.01 %
12 10.94300-10.940 0.03%
13 12.03010 12.030 0.00%
14 12.28590 12.290 0.03%
15 13.2511C 13.250 0.01 %
16 13.40750 13.410 0.02%
17 14.42960 14.430 0.00%
16 14.72070 14.720
' O.00%
19 15.25340 15.250 0.02%
20 15.55290 15.550 0.02%
21 16.17200 16.170 0.b1%
i i1]- NATUMLFMOUENCESMESHOWNONPAGES 57-56 OF TIE OPTPPE COMPUTER PRWTOUT
( APPENOlX K, %OLUME Ill).
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TABLE K-2 L
.?
4 BENCHMARK PROBLEM No. 4 l
NODAL DISPLACEMENTS (SOLUTION 4A) - TRANSLATION COMPONENTS X-TRANSLATION Y-TRANSLATION Z-TRANSLATION
[1]
[2]
[2]
[2]
' NODE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION NUhEER RESULTS RESULTS RESULTS -
( x 100 )
{ x 100 )
( x 100 )
( x 100 )
{ x -100 )
( x 100 )
t 17 3.8896 3.890 0.01 %
3.9054 3.906 0.02 %
2.7838 2.784 0.01 % -
49 4.1850 4.188 0.07%
.50850
.5085 0.00 %
1.4144 1.414 _
0.03 %
t,.
76 63.3620; 63.370 0.01 %
6.1729 6.172 0.01 %
16.1810 16.180
' O.01 %
- l 104
' 22.8600 22.860 0.00 %
8.0048 8.005 0.00 %
13.3300 13.330'
- 0.00%
-147'
.70.7520 70.750 0.00%
5.0953-5.095 0.01 %
10.7920 10.790 0.02% -
~
- 185 83.2850 83.280 0.01 %
2.8272 2.824-0.11 %
81.8670:
81.870.
0.00% -
[ 1 ]- REFER TO FIGURE K-1 FOR NODAL LOCATIONS-
[2] : NODAL DISPLACEMENTS ARE SHOWN ON PAGES 86-91 OF THE OPTPIPE COMPUTER PRINTOUT ( APPENDIX K, VOLUME Ill).
t m
.., _ -... = _
, a 1
TABLE K-3 BENCHMARK PROBLEM No. 4 NODAL DISPLACEMENTS (SOLUTION 4A) - ROTATION COMPONENTS X-ROTATION Y-ROTATION Z-ROTATION 1-
[1]
[2]
[2]
[2]
NODE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION NUMBER RESULTS RESULTS RESULTS
( x 100 )
( x 100 )
( x 100 )
( x 100 )
( x 100 )
( x 100 )
i 17
.08214
.08215 0.01 %
.09160
.09160 0.00 %
.04030
.04031-0.02 %
i l
49
.27210
.27210 0.00%
.38706
.38710 0.01 %
.12365
.12370 0.04 %
4 1
76
.25838
.25840 0.01 %
.75358
.75370 0.02 %
.37912
.37910 0.01 %.
104
.19549
.19550 0.01 %
.08902
.08902-0.00 %
.30128
.30120 0.03 %
147
.45165
.45170 0.01 %
.95961-
.95960 0.00 %
.30504
.30500 0.01 %
185
.10136
.10130 0.06%
36253
.36250 0.01 % ~ ~
.04639
.04634-0.11 %
i
[1 ]- REFERTO FIGURE K-1 FOR NODAL LOCATIONS
- [2 ]- NODAL DISPLACEMENTS ARE SHOWN ON PAGES 86-91 OF THE OPTPIPE COMPUTER PRINTOUT ( APPENDIX K, VOLUME Ill).
4 I
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TABLE K-4 BENCHMARK PROBLEM No. 4 ELEMENT STRESS RESULTANTS (SOLUTION 4A) - FORCES ELEMENT NUhEER AXML FORCE END-l Y-AXIS SHEAR END-l Z-AXIS SHEAR END-l
[1]
[2]
[2]
[2]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVMTION OPTPIPE.
NUREG/CR-1677 DEVMTION ODTPIPE NUREG/CR-1677 DEVMTION C R-1677 RESULTS RESULTS RESULTS 1
1 2270.00 2273.00 0.13%
2290.00 2287.00 0.13 %
3720.00 3719.00 0.03 %
15 134 2850.00 2850.00 0.00%
1790.00 1787.00 0.17 %
2060.00 2059.00 0.05%
34 137 3330.00 3334.00 0.12%
1370.00 1370.00 0.00 %
1240.00 1241.00 0.08%
t 60 49 5720.00' 5717.00 0.05%
2400.00 2398.00 0.08%'
1850.00 1853.00 0.16%
'i 94 149 1750.00 1755.00 0.28%
1060.00 1056.00 0.38%
1470.00 1473.00 0.20%
157' 126 1600.00 1598.00 0.13 %
614.00 613.00 0.16 %
2620.00 2622.00 0.08% -
i
[1]- REFERTOFIGUREK-1 FORELEMENTLOCATIONS.
[ 2]- ELEMENT STRESS RESULTANTS ARE SHOWN ON PAGES96-107 OF THE OPTPIPE COMPUTER PFilNTOUT ( APPENDIX K, VOLUME 111).
i i
TABLE K-5 BENCHMARK PROBLEM No. 4 ELEMENT STRESS RESULTANTS (SOLUTION 4A) - MOMENTS i
ELEMENTNUMBER TORSK)NAL MOMENT END l Y-Axis MohnENT END-l Z-AXIS MOMENT END-1 til (2)
[2]
[2]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR 1677 RESULTS RESUL13 RESULTS 1
1 105000.0 105000.0 0.00 %
352000.0 351600.0 0.11 %
230000.0 229900.0 0.04%
15 134 72700.0 72720.0 0.03%
53100.0 53140.0 0.08%
132000.0-131800.0 0.15%
34 137 100000.0 100100.0 0.10%
89800.0 89810.0 0.01 %
88000.0 87970.0 0.03 %
60 49 79200.0 79160.0 0.05%
130000.0 129500.0 0.39%
61100.0 61090.0 0.02%
t 94 149 24500.0 24520.0-0.08 %
9300.0 9300.0 0.00 %
32900.0 32950.0 0.15%
i 157 126 8800.0 8802.0 0.02%
94200.0 94230.0 0.03 %
29400.0 29390.0 0.03 %
- [1 ]- REFER TO FIGURE l(-1 FOR ELEMENT LOCATIONS.
[ 2]- ELEMENT STRESS RESULTANTS ARE SHOWN ON PAGES 98107 OF THE OPTPIPE COMPtHER PRINTOUT ( APPENDIX K, VOLUME !!!).
._. _ ~.
d TABLE K-6 I
BENCHMARK PROBLEM No. 4.
SUPPORT REACTIONS (SOLUTION 4A)
SUPPORT NODE No1 FORCE MOMENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION
.1 CR-1677 RESULTS RESULTS p
f 1-X 1-X 3720.0 3724.0 0.11 %
0.0 0.0 0.00 %
1-Y 1-Y 2390.0 2390.0 0.00%
0.0 0.0 0.00 %
1-Z 1-Z 2160.0 2156.0 0.19%
0.0 0.0 0.00 %
17-Y 17-Y 42.2 42.0 0.48%
0.0 0.0 -
0.00 %
'1 29-Y' 29-Y 2470.0 2466.0-0.16%
0.0 0.0 0.00 %
i 37-Z 37-Z
.4850.0
'4850.0 0.00%
0.0 0.0 0.00 %
43-X 44-X 4750.0 4751.0
. 0.02%
0.0 0.0 0.00% -
43-Z 44-Z 365.0 365.0-0.00%
0.0 0.0 0.00 %
49-Y 49-Y 3830.0 3835.0
. 0.13% -
0.0 0.0 0.00 %
i 51-Y 52-Y 267.0 267.0
' O.00%.
0.0 0.0 _
0.00 %
[1 ]- SUPPORT REACTIONS ARE SHOWN ON PAGES 108-109 OFTHE OPTPIPE COMPUTER PRINTOUT
( APPENDIX K, VOLUME 111).
(CONTINUED)
TAELE K-6 (continued)
BENCHMARK PROBLEM No. 4 SUPPORT REACTIONS (SOLUTION 4A)
SUPPORT NODE No1 FORCE MOMENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESULTS RESULTS 1
51-Z 52-Z 3470.0 3471.0 0.03 %
0.0 0.0 0.00 %
56-X 57-X 2090.0 2096.0 0.29%
0.0 0.0 0.00 %
56-Z 57-Z 150.0 151.0 0.66%
0.0 0.0 0.00 %
62-Y 62-Y 60.5 61.0 0.82%
0.0 0.0 0.00 %
67-X 68-X
, 2550.0 2553.0 0.12%
0.0 0.0 0.00 %
67-Z 68-Z 6150.0 6152.0 0.03 %
0.0 0.0 0.00 %
72 Y 72-Y 2670.0 2669.0 0.04 %
0.0 0.0 0.00 %
1L 74-X 75-X 2430.0 2428.0 0.08%
0.0 -
0.0 0.00 %
74-Y 75-Y 1640.0 1641.0 0.06%
0.0 0.0 0.00 %
74-Z 75-Z 5860.0 5862.0 0.03 %
0.0 0.0 0.00 %
- [ 1 ]- SUPPORT REACTIONS ARE SHOWN ON PAGES 106-109 OFTHEOPTPIPECOMPUTER PRINTOUT
( APPENDIX K VOLUME Ill).
. (CONTINUED)
._.m 1
s TABLE K-6 (continued)
BENCHMARK PROBLEM No. 4 SUPPORT REACTIONS (SOLUTION 4A)
SUPPORT NODE No1 FORCE MOMENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESULTS RESULTS 87-Y 87-Y 109.0 109.0 0.00%
0.0 0.0 0.00 %
89-Y 89-Y 5010.0 5015.0 0.10%
0.0 0.0 0.00 %
94-X 94-X 3330.0 3334.0 0.12%
0.0 0.0 0.00 %
94-Y 94-Y 4740.0 4739.0 0.02%
0.0 0.0 0.00 %
94-Z 94-2 861.0 861.0 0.00%
0.0 0.0 0.00%
108-Y 108 Y 63.8 64.0 0.31 %
0.0 0.0 0.00 %
112-X 112-X 2310.0 2312.0 0.09% '
O.0 0.0 0.00 %
117-Y 118-Y 432.0' 432.0 0.00%.
0.0 0.0 0.00 %
117-Z 118-Z 2030.0 2034.0 0.20%
0.0
. 0.0 :
0.00 %
119-Y 119-Y 1'150.0' 1153.0 0.26%
0.0 0.0 0.00 %
[1 ]- SUPPORT REACTIONS ARE SHOWN ON PAGES 108-109 OFTHE OPTPlPE COMPUTER PRINTOUT.
( APPENDIX K, VOLUME 111).
(CONTINUED)
. ~ -.. -. _ -
TA%LE K l (continued) 1 l
BENCHMARK PROBLEM No. 4 SUPPORT REACTIONS (SOLUTION 4A) 1 SUPPORT NODE No1 FORCE MOMENT DIRECTK)N (1}
(1]
4 NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE; NUREG/CR-1677 DEVIATION C R-1677 RESULTS RESULTS 127-X
~
4 128 X 188.0 188.0 0.00%
0.0 0.0 0.00 %
127 Z 128-Z 1820.0 1819.0 0.05%
0.0 0.0 0.00 %
133-Y 133-Y 886.0 886.0 0.00%
0.0 0.0 0.00%
i i.
~
135-Y 136-Y 397.0 398.0 0.25%
0.0 0.0 0.00 %
1 13 5-Z 13 6-Z 773.0 773.0 0.00%
0.0 0.0 0.00 %
i j.
141-X 142-X 1770.0 1771.0 0.06%
0.0 0.0 0.00 %
i i
141-Z 142-Z 561.0
.561.0 0.00%
0.0 0.0 0.00 %
~
j 145Z 14 5-Z 2570.0 2571.0 0.04%.
0.0 0.0 0.00 %
149-Y 149-Y 1350.0.
1349.0
[ 0.07%
0.0 0.C.
0.00 %
i 157-Y~
157-Y 106.0 106.0
' O.00%
0.0 0.0 0.00% -1
[1 ]- SUPPORT REACTIONS ARE SHOWN ON PAGES 108-109 OFTHE OPTPIPE COMPUTER PRINTOUT.
( APPENDIX K, VOLUME Ill).
(CONTINUED).
i r
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e
4 TABLE K-6.
(continued)
BENCHMARK PROBLEM No. 4 SUPPORT REACTIONS (SOLUTION 4A)
SUPPORT NODE No1 RJACE MDMENT DIRECTION
[1]
-[1]
5 NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESULTS RESULTS 165-X 166-X 3900.0 3901.0 0.03 :.
0.0 0.0 0.00%
165-Y 166-Y 1070.0 1066.0 0.38%
0.0 0.0 0.00 %
165-Z 16 6-Z 1660.0 1656.0 0.24 %
0.0 0.0 0.00%
169-Y 169-Y 1340.0 1340.0 0.00%
0.0 0.0 '
O.00%
188-Y 188-Y 1170.0 1170.0 0.00%
0.0 0.0 0.00%
192-X 192-X 970.0 970,0 0.00%
0.0 0.0 0.00 %
192-Y 192-Y 750.0 749.0 0.13%
0.0 0.0
. 0.00 %
192-Z 192-Z 2950.0 2952.0' O.07% '
O.0 0.0 0.00 %
[1 ]- SUPPORT REACTIONS ARE SHOWN ON PAGES 108-109 OF THE OPTPIPE COMPUTER PRINTOU"(THE END)
( APPENDIX K, VOLUME I!!).-
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BENCHMARK PROBLEM No.24 C'
NODAL DISPLACEMENTS (SOLUT16N 48) -TPANSLATION COMPONENTS'
- t X-TRANSt.ATION -
Y-THANSLATION 2-TRAN3LATION g
r
[1]
[2]
~
[2]
'[2]
NODE OPTPIPE NUREG/CR-1677 DEV!ATION OPTPIPE '
NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION NUMBER RESULTS RESULTS RESULTS Q
( x 100 )
( x 100 )
( x 100 )
{ x 100 ) '
( x 100 )
( x 100 )
- "a f 4
y i
17
- 2.5295 2.529-0.02%
2.2672 2.2670 C.01 %
1.9089 1.809 0.01 % ~
4
.-<w p
49 2.5823 2.584 0.07 %
.27,765
.2776 0.02b-1.1124 1.112 0.04 %
i l
1.
/
f T.
.t
- 76 49.9700
. 49.970
'- 0.00*fi ' 4.5265 4.5270' O.01 %
13.1190 13.120 0.01% -
Y-
.; g
.. f
}'
K'
.e
-v g-104 13.2660 13.270
. 0.03%
4.3*52 4.6160-0.00 %
7.9714..
7.971 0.01 %
Wik ~ '
~
W f4g y.
147 46.0200 46.020 0.00%
3.2525-3.2530 0.02 %
6.8574s 6.857.
.0,01d n
[_,
. t j.
185 52.3920 52.390 0.00%.
- 1.9538 1.9530-0.04%.
51.476..
51.480 0.01 %
. [ 1 ]- REFER TO FIGURE K-1 FOR NODAL LOCATIONS
' [2 ]-' NODAL DISPLACEMENTS ARE SHOWN ON PAGES 110-115 OF THE OPTPIPE COMPUTER PRINTOUT ( APPENDIX K, VOLUME lil).
f a;
,q.-
N
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,. 6 j
a..
. f. 1 p.,
~
a W.
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'g4
.A w#
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4u
-1*
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~[,_f r
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e TABLE K-8 i
BENCHMARK PROBLEM No. 4 NODAL DISPLACEMENTS (SOLUTION 48) - ROTATION COMPONENTS
' X-ROTATON Y-ROTATION Z-ROTATION p
[1]
[2]
[2]
[2}
NODE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION NUhEER RESULTS RESULTS RESULTS '
( x 100 )
( x 100 )
( x 100 )
{ x 100 )
( x 100 )
' ( x 100 )
17
.04874
.04874 0.00%
.05916
.05!)16 0.00 %
.02420
.02421 0.04 %
4 49
.20643
.20640 0.01 %
.29292
.29290 0.01 %
.06528
.06527 0.02%
76
.20162
.20160 0.01 %
.59146
.59150-
- 0.01 %
.29436
.29440 0.01 %
104
.11086
.11090 0.04 %
.05654
.05a53 0.02 %
.16810
.16810 0.00%
1471
.28458
.28460 0.01 %
.60590
.60590 0.00 %
.19736
.19740 0.02%
185
.07191
.07188 0.04 %
.23348
.23350 0.01 %
.02489
.02487 0.08%
[1 ]- REFERTO FIGURE K-1 FOR NODAL LO' CATIONS l
{
[2]- NODAL DISPLACEMENTS ARE SHOWN ON PAGES 110-115 OF THE OPTPIPE COMPUTER PRINTOUT ( APPENDIX K, VOLUME Ill).
4
.~
TABLE K-9 BENCHMARK PROBLEM No. 4 ELEMENT STRESS RESULTANTS (SOLUTION 48) - FORCES ELEMENT NUMBER AXIAL FORCE END-l Y-AXIS SHEAR END-l Z-AXIS SHEAR END-l
[1]
[2]
[2]
[2]
- NUREG/
OPTPIPE OPTPlPE NUREG/CR-1677 DEVIATION OPTPlPE NUREG/CR-1677 DEVIATION
- OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESULTS RESULTS RESULTS.
I' 1
1580.00 1583.00 0.19%
1460.00 1460.00 0.00% '
2400.00-
.2401.00 0.04 %'
l 15 134-1660.00 1660.00 0.00%
1100.00 1102.00 0.18%
1350.00
- 1348.00 0.15%
34-137.
2110.00 2106.00 0.19%.
910.00 910.00 0.00% '
789.00 789.00 0.00 %
60-
- 49 4380.00 4375.00 0.11%
1790.00 1787.00 0.17 %
1370.00
'1367.00 0.22%
94 149 992.00 992.00 0.00%
609.00 609.00 0.00 %
824.00 824.00 0.00% '
157 126 1110.00 1110.00' O.00%
313.00 313.00 0.00% -
1640.00 1637.00'
- 0.1'8%
j.
[1]- REFERTO FIGURE K-1 FOR ELEMENTLOCATIONS.
i
[2]- ELEMENTSTRESS RESULTANTS ARE SHOWN ON PAGES 122-131 OF THE OPTPIPE COMPUTER PRINTOUT ( APPENDIX K, VOLUME Ill ).
b i
,s n
)'
TABLE K-10 BENCHMARK PROBLEM No. 4 ELEMENT STRESS RESULTANTS (SOLUTION 48). MOMENTS ELEMENTNUMBER TORSIONAL MOMENT END-1 Y-AXIS MOMENT END-l Z-AXIS MOMENT END-l
[1]
121 12)
[2]
NUREG/
OPTPIPE OPTPIPE -
NUREG/CR-1677 DEMATION OPTPIPE NUREG/CR-1677 DEVIATION
.: OPTPIM NUREG/CR-1677 DEVIATION CR-1677 FESULTS REhJLTS RESULl3
_1'
-1
~ 62500.0 62530.0
- 0.05%
230000.0 230400.0
' O.17%
.-142000.0 142100.0 0.07%
15 134' 47500.0 47480.0
-0.04%
33700.0 33730.0 0.09 %
76600.0 76590.0 0.01 %
34 137 63400.0 63380.0 0.03 %
67800.0 67790.0 0.01 %
55500.0-55480.0 0.04 %
60 49 61200.0 61250.0 0.08 %
99100.0 99090.0 0.01 %' '
L 49800.0
. 49790.0 0.02%
l 94 149 14300.0 14320.0-0.14%.
5570.0 5568.'O 0.04 %
16900.0 '
16880.0 0.12%
.157-126 s f 00.0
' 6201.0 0.02%
59300.0 59270.0 0.05%
13700.0 13670,0 0.22 %
t
[ t ]- IVFER TO FIGURE K-1 FOR ELBENT LOCATIONS.
[2]- ELEMENT STRESS RESULTANTS ARE SHOWN ON PAGES 122-131 - OF THE OPTPIPE COMPUTER PRINTOUT ( APPENDIX K, VOLUME Ill).
4 t
d t
a 4
4 I
f 6
n
+
e e
~
-w--
~.
o,..
. (.c TABLE K-11 BENCHMARK PROBLEM No. 4 SUPPORT REACTIONS (SOLUTION 4B)
SUPPORT NODE No1 FORCE MOMENT D!RECTION (1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESULTS RESULTS 1-X 1-X 2420.0 2416.0 0.17 %
0.0 0.0 0.00 %
l 1-Y 1-Y 1500.0 1497.0 0.20%
0.0 0.0 0.00 %
1-Z 1-Z 1520.0 1523.0 0.20%
0.0 0.0 0.00 %
+
4 17-Y 17-Y 24.5 24.0 2.08%
0.0 0.0 0.00 %
I 29-Y 29-Y 1480.0 1484.0 0.27 %
0.0 0.0.
0.00% -
{ Z 37-Z 2520.0 2524.0 0.16% -
0.0 0.0 0.00 %
. i 43-X 44-X 3020.0 3019.0 0.03 %
'0.0 0.0 0.00 %
i 43-Z 44-Z 232.0 232.0 0.00%
0.0 0.0 0.00 %
'4 9 Y 49-Y 2090.0 2094.0_
0.19%
0.0
[ 0.0 0.00 %
51-Y 52-Y 176.0 176.0 0.00% '
O.0
'0.0 0.00 %
(continued)
32 t
j
~
m NO IT 0
0 0
0 0
0 0
0 0
0 A
I 0
0 0
0 0
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0 0
0 VE 0
0 0
0 0
0 0
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0 D
T 7
U 7
O 6
T T
S N
1 N
R T I
E L
R CU 0
0
- 0..
0 0
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/S 0
0 0
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0 0
0 0
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O GE E
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R U
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)
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1
=.
4
[E EP 4N I
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NU O
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1 E S T
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6 4
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3 A (c R A 1
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EP 0
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0 0
0 0
0 SU NL P
0 0
6 0
0 0
0 0
0 d
I OO T
9 6
0 4
3 6
6 7
3 5
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2 2
9 3
9 6
8 9
3 7
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2 1
1 4
1 1
1 4
C,
A K ERIX TD E
RT J
1
. P Z
X Z
Y X
Z Y
X Y
Z OE I
PP o
P N
T 2
7 7
2 8
8 2
5 5
5 PP E
P 5
5 5
6 6
6 7
7 7
D O
7 UA S(
N O O NI
]
T T
/ 7 1
R C G7
[
E E6 Z
X Z
Y X
Z Y
X Y
Z O
R PI R1 1
6 6
2 7
7 2
4 4
4 PD U R 5
5 5
6 6
6 7
7 7
7 U
N C S
i l
e j
t
a:.
t:
TABLE K-11 i
(continued)
BENCHMARK PROBLEM No. 4 i
SUPPORT REACTIONS (SOLUTION 48) 1 -
SUPPORT NODE No1 FORCE MOMENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREC/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESULTS RESULTS -
87-Y 87-Y 84.2 84.0,
0.24 %
0.0 0.0 0.00 %
l 89-Y 89-Y 3880.0 3878.0 0.05%
0.0 0.0 0.00 %
l 94-X 94-X 2590.0 2593.0 0.12%
0.0 0.0' O.00 %
4 94-Y 94-Y 3710.0 3706.0 0.11 %
0.0 0.0 0.00 %
94-Z 94-Z 681.0 681.0 0.00%
0.0 0.0
' O.00 %
108-Y 108-Y 35.7 36.0 0.83 %
0.0 0.0 0.00 %
112-X 112 X 1300.0 1297.0 0.23 %
0.0 0.0 -
0.00 %
117-Y 118-Y
. 255.0 255.0 0.00%
0.0 0.0 0.00 %
117-Z 118-Z 1200.0 1200.0
. 0.00%.
0.0 0.0
. 0.00N.
119-Y 119-Y 655.0 655.0 0.00%
0.0 0.0 0.00 %
4
[ 1 ]- SUPPORT REACTIONS ARE SHOWN ON PAGES 132-133 OF THE OPTPIPE COMPUTER PRINTOUT
( APPENDIX K, VOLUME lli).
u
4 TA%LE K-11 (continued)
BENCHMARK PROBLEM No. 4 SUPPORT REACTIONS (SOLUTION 4B)
SUPPORT NODE No1 FORCE MOMENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION 4
CR-1677 RESULTS RESULTS
-127-X 128-X 88.8 89.0 0.22%
0.0 0.0 0.00%
127-Z 128-Z 858.0 858.0 0.00%
0.0 0.0 0.00 %
133-Y 133-Y 531.0 531.0 0.00%
0.0 0.0 0.00%
135-Y 136-Y 200.0 200.0 0.00%
0.0 0.0 0.00 %
13 5-Z.
13 6-Z 389.0 389.0 0.00%
0.0 0.0 0.00 %
1 141-X 142-X 942.0 942.0 0.00%
0.0 0.0 0.00 %
141-Z 142-Z 298.0 298.0
. 0.00%
0.0 0.0 0.00 %
l 145-Z 145-Z 1670.0 1674.0 0.24 %
0.0 0.0 0.00 %
149-Y 149-Y
-1010.0 1008.0 0.20%
0.0 0.0 0.00%
.157-Y 157 Y 68.0 68.0 0.00%
0.0 0.0 0.00%.
[1 ]- SUPPORT REACTIONS ARE SHOWN ON PAGES 132-133 OFTHE OPTPIPE COMPUTER PRINTOUT
( APPENDIX K, VOLUME Ill).
2
.,, q 'l 4
TABLE K-11 (continued) i BENCHMARK PROBLEM No. 4 1
SUPPORT REACTIONS (SOLUTION 4B) l SUPPORT NODE No1 FORCE MDMENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESULTS RESULTS 165-X 166-X 3200.0 3203.0 0.09%
0.0 0.0
. 0.00%
165-Y 166-Y 875.0 875.0 0.00%
0.0 0.0 0.00 %
165-Z 166-Z 1360.0 1360.0 0.00%
0.0 0.0 0.00 %
169-Y 169-Y, 905.0 905.0 0.00%
0.0 0.0 0.00 %
188-Y' 188-Y 589.0 589.0 0.00%
0.0 0.0 '
O.00 %
192-X 192-X 685.0 685.0 -
0.00%
. 0.0 0.0 0.00 %
192-Y 192-Y
- 347.0 347.0 0.00%
0.0 0.0 0.00 %
192-Z 192-Z
' 1880.0 1876.0-0.21 %
0.0 0.0 0.00 %
[ 1 ]- SUPPORT REACTIONS ARE SHOWN ON PAGES 132-133 OFTHE OPTPIPE COWUTER PRINTOUT
( APPENDIX K, VOLUME Ill).
(THE END) n
i j _
j
- s 4
TABLE K-12
. BENCHMARK PROBLEM No. 4 UODAL DISPLACEMENTS (SOLUTION 4C) - TRANSLATION COMPONENTS i
X-TRANSLATION Y TRANSLATION Z-TRANSLATION l
[1]
[2]
[2]
[2]
' ~
NODE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION NUWER RESULTS RESULTS RESULTS
( x 100 )
( x 100 ) -
( x 100 )
{ x 100 )
( x 100 ) '
( x 100 )
17 3.2333 3.233 0.01 %
3.1105 3.1100 0.02 %
2.3129 2.313 0.00%
1 49 3.2536 3.256 0.07 %
.39386
.3939
~ 0.01 %
1.2882
.1.288 0.02 %
4 76 56.448 56.450
- 0.00%
5.4236 5.4240 0.01 %
15.444
'15.450 0.04% -
4 104 19.359 19.360 0.01 %
6.4555 6.4550 0.01 %
~ 11.585 11.580 0.04 %
i l
147.
56.952 56.950 0.00%
4.2106 4.2110 0.01 %
9.369 9.369 0.00%
185 64.490 64.490' O.00%
2.3314 2.3300 0.06% -
63.359 ~
63.360
' O.00%
[ 1 ]- REFER TO FIGURE K-1 FOR NODAL LOCATIONS.
[ 2 } - NODAL DISPLACEMENTS ARE SHOWN ON PAGES 134-139 OF THE OPTPIPE COMPUTER PRINTOUT ( APPENDIX K, VOLUME Ill).
j '
t 1
c 1llIlilI
/
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0 0
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7 1
8 2
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GL
)
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6 6
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9 F P I
P 0
1 6
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1 2
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7 7
3 8
2 4
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3 3
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x O
0 2
2 1
4 0
R L E A
(
F O EO RN R
]
1 EE
))
[DB 7
9 6
4 7
5 1 2 0
4 8
((
Oh 1
4 7
NU 1
1 1
N I!l)
..(,j..
5 J
TABLE K-14 BENCHMARK PROBLEM No. 4 ELEMENT STRESS RESULTANTS (SOLUTION 4C) - FORCES ELEMENT NUhEBER AX1AL FORCE END-l Y-AXIS SHEAR END-l Z-AXIS SHEAR END-l
-[1]
[2]
[2]
[2]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1377 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION C R-1677 RESULTS RESULTS RESULTS 1
1 2020.00 2021.00 0.05%
2040.00 2045.00 0.24 %
3020.00 3016.00 0.13% -
15 134 2150.00 2152.00 0.09%
1560.00 1563.00 0.19% -
1820.00 1820.00 0.00%
1 34-137 2860.00 2861.00 0.03 %
1160.00 1155.00 0.43 %
1000.00 1001.00 0.10%
i 60 49 5160.00 5156.00 0.08%
2390.00-2385.00 0.21 %
1790.00 1793.00 0.17 %
94 149~
1410.00 1413.00 0.21 %
897.00 897.20 0.02 %
1120.00 1117.00 0.27%
157 126 1340.00 1337.00 0.22%.
387.00 386.80 0.05 %
2010.00 2015.00 0.25 %
[1]- REFERTO FKiURE K-1 FOR ELEMENTLOCATIONS.
[2]- ELEMENT STRESS RESULTANTS ARE SHOWN ON PAGES 146-155 OF THE OPTPIPE COMPUTER PRINTOUT ( APPENDIX K, VOLUME Ill).
l r
i ll(lll l
1' g?
'i N
O ITA 5
9 1
6 0
6, V
1 3
0 0
2 0
I E
0 0
0 0
-. 0 0
)
l D
M
-D E
N 7
E 7
M 6
U T
1 S 0
0 0
0 0
0 O
L N
T 0
0 E
R L M
CU 0
0 0
0 0
0 V
7 4
9 6
5 1
K.
/
S O
G E 0
1
. 5 8
9 0
4 3
4 7
X M
ER 0
0
. 7 6
2 1
I R
2 1
D S
I U
N X
N E
A l
P P
Z a
A E
0 0
. 0 0
0 0
t
(
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0 T
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0 0
0 P
0 0
0 0
- 0 0
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0 0
6 9
0 0
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1 1
4 3
5 7
T O
0 0
7 6
2 1
N 2
1 4
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R O
E I
T S
T U
7 5
0 4
3 7
A T
I 0
0 0
3 0
0 M
P N
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0 0
0 0
0 O
i I
D C
A D
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7 E
SI E
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P TN S
0 0
0 0
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0 0
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)
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0 0
0 2
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2 8
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6 4
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/
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2 0
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1 8
8
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4 2
3 H.
1 7
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2 4
8 7
T oO 1
F I
MT i
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6
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5 2
1 L
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(E 0
0 0
0 0
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0 0
0 0
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0 1
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0 0
0 0
0.
S T
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T 0
3 0
0 4
L N
P 0
1 4
2 9
8 E
3 B
KA O
9 7
G 1
7 4
8 A
RT 2
1 A
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A P
0 U
. N 0S N
S H E O
N O ON CR IT N
A 5
3
, 0 0
1 0
. TW 4
4 0
3 I
ES M
0 0
AO BS E
1 0
0 0
0 0
0 CH E
D D
OS R
N L
T E
E 7
T R-S T
7 N A N
6 E S T
E 1
S 0
0 0
0 0
0 BT.
N M
RT L
0 0
0 0
0 LN E
O CU 6
2 7
3 8
EA 2
M M
/
6 T
S 2
1 5
4 4
E L
G 9
. R L E
2 5
9 1
9 L
A E
6 OU F
8 6
7 7
1 E
N R
FS O
U I
1 E S
N
, KR O
1 ES R
2 RS T
UE 1
G R E
0 0
0 0
0 0
FS I T P
I 0
0 0
0 0
0 OT P
0 0
0 0
0 5.
TN T
3 1
6 4
5 P
2 5
9 1
9 RE P
O 8
6 7
7 1
PI 4
7 9
6 1 2 1)
R P
9 1
3 3
4 2
1[
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4 B
P 1
1 1
1 M
O UN 1
1 T
1/ 7 N
G7 E
E6 7
5 4
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5 1
3 6
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C E
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R L
N l1!
l
.. _. _. _. _ _. _ _. - _ -. -. _. _ _. ~. _. _
.m.
1
.s'.
l-3 i
TABLE K-16 s
i BENCHMARK PROBLEM No. : 4
[
I SUPPORT REACTIONS (SOLUTION 4C) -
SUPPORT NODE No1 FORCE MORENT DIRECTION
[1]
[1]
l NUREGI OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESll.TS RESULTS 1-X 1-X 3030.0 3033.0 0.10%
0.0 0.0 0.00%,
1-Y 1-Y 2120.0 2119.0 0.05%
0.0 0.0 0.00 %
4 e
1-Z 1-Z 1920.0 1917.0 0.16%
0.0 0.0 0.00 %
6 17-Y.
17-Y 33.6 34.0 1.18% -
0.0 0.0 0.00%.
29-Y 29-Y 2020.0 2018.0 0.10%
0.0
- 0.0,
0.00 %
37-Z 3 7-Z '
3480.0 3482.0
. 0.06%
0.0 0.0 0.00 %
1 1
1 43-X 44-X 4120.0 4120.0 0.00%
0.0 0.0 0.00%.
c 43-Z 44-Z
' 317.0 317.0 0.00 %
0.0 0.0 -
T 0.00%
l 49-Y
.49-Y 2970.0 2970.0 0.00%
0.0
- 0.0.
0.00 %
51-Y.
52-Y-221.0 221.0 0.00%
0.0 0.0 0.00% -
i o
[ 1 ]- SUPPORT REACTIONS ARE.8HOWN ON PAGES 156-157 OFTHE OPTPIPE COMPUTER PRINTOUT (APPENDIX K, VOLUME 111).
' i i
s w
-v.
TABLE K 16 s
(continued)
BENCHMARK PROBLEM No. 4 SUPPORT REACTIONS (SOLUTION 4C)
SUPPORT NODE No1 FORCE MOENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESi1TS RESULTS ~
51-Z 52-Z 2870.0 2874.0 0.14%
0.0 0.0 0.00 %
56-X 57-X 1730.0 1735.0 0.29%
0.0 0.0 0.00% '.
56-Z 57-Z 125.0 125.0 0.00%
0.0 0.0 0.00 %
62-Y 62-Y 47.3 47.0 0.64%
0.0 0.0 0.00 %
67-X 68-X
.2380.0 2379.0 0.04 %
0.0 0.0 0.00 %
67-Z 68-Z 5730.0 5731.0 0.02%
0.0 0.0 0.00 %
72-Y 72-Y 2470.0 2469.0 0.04 %
. 0.0 0.0 0.00 %
74-X 75-X 2400.0 2405.0 0.21%
0.0 0.0.
0.00%.
74-Y 75-Y 1630.0 1625.0 0.31 %
0.0 0.0 0.00 %
74-Z 75-Z 5800.0 5805.0 0.09%
0.0 0.0 0.00 %
[1 )- SUPPORT REACTIONS ARE SHOWN ON PAGES 156157 OFTHE OPTPIPE COMPUTER PRINTOUT (APPENDIX K, VOLUME 111).
l
)
- _ - - = _ -
i
... -.. ~, _,,
TABLE K-16 (continued)
. BENCHMARK PROBLEM No. 4 SUPPORT REACTIONS (SOLUTION 4C)
SUPPORT NODE No/
FORCE MOMENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESULTS FIESULTS 87-Y 87-Y 96.6 97.0 C.41%
0.0 0.0 0.00 %
89-Y 89-Y 4440.0 4444.0 0.09%
0.0 0.0 0.00 %
94-X 94-X 2940.0 2944.0 0.14%
0.0 0.0 0.00% '
94-Y-94-Y 4210.0 4208.0 0.05%
0.0 0.0 0.00 %
94-Z 94-Z:
823.0 823.0 0.00%
0.0 0.0 0.00 %
108-Y 108-Y 50.6 51.0 0.78%
0.0 0.0 0.00%.
112-X 112 X 1890.0 1887.0 0.16%
0.0 0.0 0.00 %
117-Y-118-Y 365.0 364.0
- 0.27%-
0.0 0.0 0.00 %
117-Z 118-Z 1710.0'
.,1714.0 0.23 %
0.0 0.0 -
0.00 %
~
119-Y 119-Y 914.0' 914.0 0.00%
0.0 0.0 '
O.00 %
[ 1 } - SUPPORT REACTIONS ARE SHOWN ON PAGES 156-157 OFTHE OPTPIPE COMPUTER PRINTOUT
( APPENDIX K, VOLUME Ill).
_-___-______--_--_-.____-_.__---___.---.x_
TAILE K-16
. (continued)
BENCHMARK PROBLEM No. 4 SUPPORT HEACTIONS (SOLUTION 4C)
SUPPORT NODE No/
FORCE MOMENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESLt.TS RESULTS 127-X 128-X 130.0 129.0 0.78%
0.0 0.0 0.00 %
127-Z 128-Z 1250.0 1252.0 0.16%
0,0 0.0 0.00 %
133-Y 133-Y 703.0 703.0 0.00%
0.0 0.0 0.00% '
135-Y 136-Y 287.0 287.0 0.00%
0.0 0.0 0.00 %
13 5-Z 13 6-Z 557.0 557.0 0.00%
0.0 0.0 0.00% -
141-X 142-X 1300.0 1300.0 0.00%
0.0 0.0 0.00 %
141-Z 142-Z 412.0 412.0 0.00%
0.0 0.0 0.00 %
14 5-Z 14 5-Z
.2030.0 2031.0 0.05%
0.0 0.0 0.00 %
149-Y 149-Y 1180.0 1182.0 0.17 %
0.0 0.0 0.00 %
157-Y 157-Y 86.2 86.0 0.23 %
0.0 0.0 0.00% -
[1 ] SUPPORT REACTIONS ARE SHOWN ON PAGES 156157 OFTHEOPTPIPE COMPUTER PRINTOUT
( APPENDIX K VOLUME Ill).
l TABLE K-16 (continued)
BENCHMARK PROBLEM No. 4 SUPPORT REACTIONS (SOLUTION 4C)
SUPPORT NODE No1 R)RT MOMENT DIRECTION
[1]
[1]
NUREG/
OPTPIPE OPTPIPE NUREG/CR-1677 DEVIATION OPTPIPE NUREG/CR-1677 DEVIATION CR-1677 RESULTS RESULTS a
165-X 166-X 3550.0 3546.0 0.11%
0.0 0.0 0.00%
165-Y 166-Y 969.0 9 C 9.0 0.00%
0.0 0.0 0.00 %
165-Z 16 6-Z 1510.0 1505.0 0.33 %
0.0 0.0 0.00%
169-Y 169-Y 1060.0 1058.0 0.19%
0.0 0.0 0.00 %
188-Y 188-Y 666.0 665.0 0.15%
0.0 0.0 0.00 %
192-X 192-X 834.0 834.0 0.00%
0.0 0.0 0.00 %
192-Y_
19-Y 432.0 431.0 0.23%
0.0 0.0 0.00 %
192-Z 192-Z 2300.0 2296.0 0.17%
0.0 0.0 0.00%
[1 ]- SUPPORT REACTIONS ARE SHOWN ON PAGES 156-157 OFTHE OPTPIPE COMPUTER PRINTOL (THE END)
( APPENDtX K. VOLUME Ill).
i