ML16256A191: Difference between revisions

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(Created page by program invented by StriderTol)
(Created page by program invented by StriderTol)
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{{#Wiki_filter:WSES-FSAR-UNIT-3 3.9D-1APPENDIX 3.9DNSSS COMPUTER CODE VERIFICATION WSES-FSAR-UNIT-3 3.9D-2APPENDIX 3.9DTABLE OF CONTENTSAttachment I - BCH 10192 VerificationAttachment II - BC 10286 Verification Attachment III -, CE SHOCK Verification WSES-FSAR-UNIT-3 3.9D-3ATTACHMENT ITABULATION OF SUMMARY OFVERIFICATION RESULTS BCH 10192NOZZLE PRIMARY PLUS SECONDARYSTRESS RANGE CHECK, PEAK STRESSCALCULATION AND MAXIMUM  USAGEFACTOR LOCATION WSES-FSAR-UNIT-3 3.9D-4II.Sample Problem - (Hand Solution)
{{#Wiki_filter:WSES-FSAR-UNIT-3 3.9D-1APPENDIX 3.9DNSSS COMPUTER CODE VERIFICATION WSES-FSAR-UNIT-3 3.9D-2APPENDIX 3.9DTABLE OF CONTENTSAttachment I - BCH 10192 VerificationAttachment II - BC 10286 Verification Attachment III -, CE SHOCK Verification WSES-FSAR-UNIT-3 3.9D-3ATTACHMENT ITABULATION OF  
Cut FThe required input quantities as given on sheet for this cut are listed on sheet as printed by theprogram. A sample calculation to show the inside and outside primary plus secondary stress validity is shown below.Outside Wall - Trans Al:xxpressxthxpipe =  + +/-.3)-2(11.63(-19.1).231-1.86-)1.034(2.25
 
==SUMMARY==
OFVERIFICATION RESULTS BCH 10192NOZZLE PRIMARY PLUS SECONDARYSTRESS RANGE CHECK, PEAK STRESSCALCULATION AND MAXIMUM  USAGEFACTOR LOCATION WSES-FSAR-UNIT-3 3.9D-4II.Sample Problem - (Hand Solution)
Cut FThe required input quantities as given on sheet for this cut are listed on sheet as printed by theprogram. A sample calculation to show the inside and outside primary plus secondary stress validity is shown below.Outside Wall - Trans Al:xxpressxthxpipe =  + +/-.3)-2(1 1.63 (-19.1).231-1.86-)1.034(2.25
-+/-=x = .59,  -2.67 th+press=Note the radial Gradient
-+/-=x = .59,  -2.67 th+press=Note the radial Gradient
.3)-(2(1(-19.1).231-.641-.863(2.25)
.3)-(2(1 (-19.1).231-.641-.863(2.25)
=Sx = S = 3.15 isprinted out by the program.
=Sx = S = 3.15 isprinted out by the program.
= 4.45  ksir =  0Inside Wall - Trans Al:
= 4.45  ksir =  0Inside Wall - Trans Al:
.3)-2(11.63(-19.1).2311.887+)2.496(2.25
.3)-2(1 1.63 (-19.1).231 1.887+)2.496(2.25
=+/-x      =  5.98, 2.72
=+/-x      =  5.98, 2.72
.3)-2(1(-19.1).231+.299+)3.435(2.25
.3)-2(1 (-19.1).231+.299+)3.435(2.25
=Note the radial GradientSx = S = -3.15      =  4.88r =  -2.25 =.13Principal Stresses:
=Note the radial GradientSx = S = -3.15      =  4.88r =  -2.25 =.13Principal Stresses:
S1 = 5.98+4.88 + 1/2    (5.98-4.88) + 4(.13)  = 6.00                2 22S2 =  5.43 - .57 = 4.86 S3 =  -2.25 WSES-FSAR-UNIT-3 3.9D-5Stress Intensities:S 1 - S2 = 1.13 ksi S1 - S3 = 8.25 ksi S2 - S3 = 7.11 ksiThe 3 Sm stress range check is made without round off. It is tabulated for all three stressintensities for the outside and inside surfaces, first for + pipe loads and then for (-) pipe.Peak StressesOutside1.0(-2.67)
S 1 = 5.98+4.88 + 1/2    (5.98-4.88) + 4(.13)  = 6.00                2 22 S 2 =  5.43 - .57 = 4.86 S 3 =  -2.25 WSES-FSAR-UNIT-3 3.9D-5Stress Intensities:S 1 - S 2 = 1.13 ksi S 1 - S 3 = 8.25 ksi S 2 - S 3 = 7.11 ksiThe 3 S m stress range check is made without round off. It is tabulated for all three stressintensities for the outside and inside surfaces, first for + pipe loads and then for (-) pipe.Peak StressesOutside 1.0(-2.67)
(.59),1.0=sec=][Kt+xprixpeakThlinearxbendingaxial]1(K+-[1)1(K++=ttµµ+/-pipethpresspeakksi4.45sec=+=prir= 0Insideµ-1]TE[K=2+.sect+xprixpeak.88-2.723.82=(-10.1)].7.231+1.44[5.98
(.59), 1.0=sec=][Kt+xpri xpeakThlinear xbending axial]1 (K+-[1)1 (K++=t tµµ+/-pipe th press peak ksi 4.45 sec=+=prir= 0Insideµ-1]T E[K=2+.sec t+xpri xpeak.88-2.72 3.82=(-10.1)].7.231+1.44[5.98=Note the radial gradient S x = S= -3.33 isprinted by the program Linear T]-1[)]1 (+[1+)1 (K+th t pipe th peak+++/-=µµµE K t xbending press 3.33]-[-3.15.3(.44)]+[1+2.7)(.44)(.3)(+.299+7.73== 1.04r = -2.25Principal stresses and stress intensities are taken as the stress components calculated abovesince shear is generally small.Usage Factor WSES-FSAR-UNIT-3 3.9D-6For the example given no significant usage was developed, however, it can be seen that themechanism is performed properly. Starting with the outside wall each stress intensity is arranged in descending order then each is arranged for the inside wall, (+pipe). This is then repeated for each intensity for (-) pipe. Pairing the max intensity with the min can then be made in each case permitting computation of the stress range and alternating stress. The program will help to locate the maximum usage factor however, its limitation have been duly noted on page 1.
=Note the radial gradient Sx = S= -3.33 isprinted by the program LinearT]-1[)]1(+[1+)1(K+thtpipethpeak+++/-=µµµEKtxbendingpress3.33]-[-3.15.3(.44)]+[1+2.7)(.44)(.3)(
+.299+7.73== 1.04r = -2.25Principal stresses and stress intensities are taken as the stress components calculated abovesince shear is generally small.Usage Factor WSES-FSAR-UNIT-3 3.9D-6For the example given no significant usage was developed, however, it can be seen that themechanism is performed properly. Starting with the outside wall each stress intensity is arranged in descending order then each is arranged for the inside wall, (+pipe). This is then repeated for each intensity for (-) pipe. Pairing the max intensity with the min can then be made in each case permitting computation of the stress range and alternating stress. The program will help to locate the maximum usage factor however, its limitation have been duly noted on page 1.
WSES-FSAR-UNIT-3 3.9D-7TOTAL STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE OUTSIDE WALL OF CUT FTOTAL STRESSES  PRINCIPAL STRESSES STRESS  INTENSITIESTRN SXC STG SROTXTO  S1  S2 S3S1-S2S1-S2S2-S3A1 1  .59 4.450.00 .13  .59 4.460.00 3.87  .59 4.46-2.67 4.450.00 .13-2.07 4.450.00-7.12-2.67 4.45B1 1-1.58-5.490.00 .13-1.58-5.500.00 3.92-1.58-5.50-4.84-5.490.00 .13-4.82-5.520.00  .70-4.82-5.52C1 1-3.08  .050.00 .13-3.09  .050.00-3.14-3.09  .05-6.34  .050.00 .13-6.34  .050.00-6.39-6.34  .05C2 1-2.59  .130.00 .13-2.59  .140.00-2.73-2.59  .14-5.85  .130.00 .13-5.85  .140.00-5.98-5.85  .14C3 1-5.30-4.310.00 .13-5.31-4.300.00-1.02-5.31-4.30-8.56-4.310.00 .13-8.56-4.310.00-3.22-2.14 1.08C4 1-2.14 1.070.00 .13-2.14 1.080.00-3.22-2.14 1.08-5.40 1.070.00 .13-5.40 1.070.00-6.47-5.40 1.07D1 1-1.65  .250.00 .13-1.66  .260.00-1.92-1.66  .26-4.91  .250.00 .13-4.91  .260.00-5.17-4.91  .26D2 1-1.67  .990.00 .13-1.68 1.000.00-2.67-1.68 1.00-4.93  .990.00 .13-4.93  .990.00-5.93-4.93  .99D3 1 -.48 1.760.00 .13 -.49 1.770.00-2.26 -.49 1.77-3.74 1.760.00 .13-3.74 1.770.00-5.51-3.74 1.77E1 1 -.80 2.030.00 .13 -.81 2.030.00-2.84 -.81 2.03-4.06 2.030.00 .13-4.06 2.030.00-6.09-4.06 2.03E2 1 -.59 1.860.00 .13 -.60 1.860.00-2.46 -.60 1.86-3.85 1.860.00 .13-3.86 1.860.00-5.71-3.86 1.86H1 1-1.60 2.700.00 .13-1.61 2.700.00-4.31-1.61 2.70-4.86 2.700.00 .13-4.86 2.700.00-7.56-4.86 2.70I1 1-1.02 2.840.00 .13-1.03 2.840.00-3.87-1.03 2.84-4.28 2.840.00 .13-4.28 2.840.00-7.12-4.28 2.84I2 1 1.18 1.520.00 .13 1.14 1.570.00 -.43 1.14 1.57-2.08 1.520.00. 13-2.08 1.530.00-3.61-2.08 1.53S1 1 1.15 2.030.00. 44  .97 2.210.00-1.24  .97 2.21-5.79 2.030.00 .44-5.81 2.050.00-7.87-5.81 2.05S2 1-2.53 2.0300.0-.18-2.54 2.040.00-4.57-2.54 2.0402.11 2.030.00-.18-2.12 2.040.00-4.15.-2.12 2.04 WSES-FSAR-UNIT-3 3.9D-8TOTAL STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE OUTSIDE WALL OF CUT FTOTAL STRESSES  PRINCIPAL STRESSES STRESS  INTENSITIESTRN SX1 ST1 SR1TXT1  S1  S2 S3S1-S2S1-S2S2-S3A1 1 5.96 4.882.25 .13 6.00 4.86-2.25 1.14 8.25 7.11-2.72 4.882.25 .13 2.71 4.88-2.25-2.17-4.96 7.13B1 1 4.77 6.15 .01 .13 4.76 6.16-.01-1.40 4.77 6.17 1.51 6.15 .01 .13 1.51 6.16-.01-4.64 1.52 6.17C1 1 9.7410.472.25 .13 9.7110.49-2.25 -.7811.9612.74 6.4810.472.25 .13 6.4710.47-2.25-4.00 8.7212.72C2 1 9.25 9.982.35 .13 5.99 9.99-2.35 -.7811.5812.35 5.99 9.982.35 .13 5.99 9.99-2.35-4.00 8.7212.72C3 111.0211.741.73 .1311.0011.77-1.73 -.7712.7313.50 7.7611.741.73 .1311.0011.75-1.73 -.7712.7313.50C4 1 8.88 8.602.30 .13 8.93 8.55-2.30  .3811.2310.85 5.62 8.602.30 .13 8.93 8.61-2.30-3.00 7.9110.91D1 1 7.79 8.261.99 .13 7.76 8.29-1.99 -.53 9.7510.28 4.53 8.261.99 .13 4.53 8.26-1.99-3.73 6.5210.25D2 1 8.26 9.122.25 .13 8.24 9.14-2.25 -.9010.4911.39 5.00 9.122.25 .13 5.00 9.13-2.25-4.13 7.2511.38D3 1 6.71 7.332.00 .13 6.69 7.35-2.00 -.67 8.69 9.35 3.45 7.332.00 .13 3.45 7.33-2.00-3.88 5.45 9.33E1 1 7.50 8.072.35 .13 7.47 8.10-2.35 -.63 9.8210.45 4.24 8.072.35 .13 4.23 8.08-2.35-3.85 6.5810.43E2 1 7.00 7.392.15 .13 6.96 7.42-2.15 -.47 9.11 9.57 3.74 7.392.15 .13 3.73 7.39-2.15-3.66 5.88 9.54H1 1 9.4310.733.13 .13 9.4210.75-3.13-1.3312.5413.87 8.1710.733.13 .13 6.1710.74-3.13-4.57 9.2913.86I1 1 7.60 6.492.25 .13 4.33 6.48-2.25 1.14 9.86 8.73 4.34 6.492.25 .13 7.61 6.50-2.25-2.17 6.58 8.75I2 1 5.28 8.772.25 .13 5.28 8.77-2.25-3.49 7.5311.02 2.02 8.772.25. 13 2.02 8.77-2.25-6.75 4.2711.02S1 1 9.19 8.092.35. 44 9.35 7.93 2.35 1.4211.7010.28 2.25 8.092.35 .44 2.22 8.12 2.35-5.90 4.5710.47S2 1 5.51 8.092.35-.18 5.50 8.10 2.35-2.60 7.8510.45 5.93 8.092.35-.18 5.92 8.10 2.35-2.18.-8.2710.45 WSES-FSAR-UNIT-3 3.9D-9RANGE OF STRESS CRITERIA MIN  MAX  RANGE-4.5731 3.91778.4908S1-S2OUTSIDE-5.3145 1.13928.4537S1-S3OUTSIDE
WSES-FSAR-UNIT-3 3.9D-7TOTAL STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE OUTSIDE WALL OF CUT FTOTAL STRESSES  PRINCIPAL STRESSES STRESS  INTENSITIESTRN SXC STG SROTXTO  S1  S2 S3S1-S2S1-S2S2-S3A1 1  .59 4.450.00 .13  .59 4.460.00 3.87  .59 4.46-2.67 4.450.00 .13-2.07 4.450.00-7.12-2.67 4.45B1 1-1.58-5.490.00 .13-1.58-5.500.00 3.92-1.58-5.50-4.84-5.490.00 .13-4.82-5.520.00  .70-4.82-5.52C1 1-3.08  .050.00 .13-3.09  .050.00-3.14-3.09  .05-6.34  .050.00 .13-6.34  .050.00-6.39-6.34  .05C2 1-2.59  .130.00 .13-2.59  .140.00-2.73-2.59  .14-5.85  .130.00 .13-5.85  .140.00-5.98-5.85  .14C3 1-5.30-4.310.00 .13-5.31-4.300.00-1.02-5.31-4.30-8.56-4.310.00 .13-8.56-4.310.00-3.22-2.14 1.08C4 1-2.14 1.070.00 .13-2.14 1.080.00-3.22-2.14 1.08-5.40 1.070.00 .13-5.40 1.070.00-6.47-5.40 1.07D1 1-1.65  .250.00 .13-1.66  .260.00-1.92-1.66  .26-4.91  .250.00 .13-4.91  .260.00-5.17-4.91  .26D2 1-1.67  .990.00 .13-1.68 1.000.00-2.67-1.68 1.00-4.93  .990.00 .13-4.93  .990.00-5.93-4.93  .99D3 1 -.48 1.760.00 .13 -.49 1.770.00-2.26 -.49 1.77-3.74 1.760.00 .13-3.74 1.770.00-5.51-3.74 1.77E1 1 -.80 2.030.00 .13 -.81 2.030.00-2.84 -.81 2.03-4.06 2.030.00 .13-4.06 2.030.00-6.09-4.06 2.03E2 1 -.59 1.860.00 .13 -.60 1.860.00-2.46 -.60 1.86-3.85 1.860.00 .13-3.86 1.860.00-5.71-3.86 1.86H1 1-1.60 2.700.00 .13-1.61 2.700.00-4.31-1.61 2.70-4.86 2.700.00 .13-4.86 2.700.00-7.56-4.86 2.70I1 1-1.02 2.840.00 .13-1.03 2.840.00-3.87-1.03 2.84-4.28 2.840.00 .13-4.28 2.840.00-7.12-4.28 2.84I2 1 1.18 1.520.00 .13 1.14 1.570.00 -.43 1.14 1.57-2.08 1.520.00. 13-2.08 1.530.00-3.61-2.08 1.53S1 1 1.15 2.030.00. 44  .97 2.210.00-1.24  .97 2.21-5.79 2.030.00 .44-5.81 2.050.00-7.87-5.81 2.05S2 1-2.53 2.0300.0-.18-2.54 2.040.00-4.57-2.54 2.0402.11 2.030.00-.18-2.12 2.040.00-4.15.-2.12 2.04 WSES-FSAR-UNIT-3 3.9D-8TOTAL STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE OUTSIDE WALL OF CUT FTOTAL STRESSES  PRINCIPAL STRESSES STRESS  INTENSITIESTRN SX1 ST1 SR1TXT1  S1  S2 S3S1-S2S1-S2S2-S3A1 1 5.96 4.882.25 .13 6.00 4.86-2.25 1.14 8.25 7.11-2.72 4.882.25 .13 2.71 4.88-2.25-2.17-4.96 7.13B1 1 4.77 6.15 .01 .13 4.76 6.16-.01-1.40 4.77 6.17 1.51 6.15 .01 .13 1.51 6.16-.01-4.64 1.52 6.17C1 1 9.7410.472.25 .13 9.7110.49-2.25 -.7811.9612.74 6.4810.472.25 .13 6.4710.47-2.25-4.00 8.7212.72C2 1 9.25 9.982.35 .13 5.99 9.99-2.35 -.7811.5812.35 5.99 9.982.35 .13 5.99 9.99-2.35-4.00 8.7212.72C3 111.0211.741.73 .1311.0011.77-1.73 -.7712.7313.50 7.7611.741.73 .1311.0011.75-1.73 -.7712.7313.50C4 1 8.88 8.602.30 .13 8.93 8.55-2.30  .3811.2310.85 5.62 8.602.30 .13 8.93 8.61-2.30-3.00 7.9110.91D1 1 7.79 8.261.99 .13 7.76 8.29-1.99 -.53 9.7510.28 4.53 8.261.99 .13 4.53 8.26-1.99-3.73 6.5210.25D2 1 8.26 9.122.25 .13 8.24 9.14-2.25 -.9010.4911.39 5.00 9.122.25 .13 5.00 9.13-2.25-4.13 7.2511.38D3 1 6.71 7.332.00 .13 6.69 7.35-2.00 -.67 8.69 9.35 3.45 7.332.00 .13 3.45 7.33-2.00-3.88 5.45 9.33E1 1 7.50 8.072.35 .13 7.47 8.10-2.35 -.63 9.8210.45 4.24 8.072.35 .13 4.23 8.08-2.35-3.85 6.5810.43E2 1 7.00 7.392.15 .13 6.96 7.42-2.15 -.47 9.11 9.57 3.74 7.392.15 .13 3.73 7.39-2.15-3.66 5.88 9.54H1 1 9.4310.733.13 .13 9.4210.75-3.13-1.3312.5413.87 8.1710.733.13 .13 6.1710.74-3.13-4.57 9.2913.86I1 1 7.60 6.492.25 .13 4.33 6.48-2.25 1.14 9.86 8.73 4.34 6.492.25 .13 7.61 6.50-2.25-2.17 6.58 8.75I2 1 5.28 8.772.25 .13 5.28 8.77-2.25-3.49 7.5311.02 2.02 8.772.25. 13 2.02 8.77-2.25-6.75 4.2711.02S1 1 9.19 8.092.35. 44 9.35 7.93 2.35 1.4211.7010.28 2.25 8.092.35 .44 2.22 8.12 2.35-5.90 4.5710.47S2 1 5.51 8.092.35-.18 5.50 8.10 2.35-2.60 7.8510.45 5.93 8.092.35-.18 5.92 8.10 2.35-2.18.-8.2710.45 WSES-FSAR-UNIT-3 3.9D-9RANGE OF STRESS CRITERIA MIN  MAX  RANGE-4.5731 3.91778.4908S1-S2OUTSIDE-5.3145 1.13928.4537S1-S3OUTSIDE
-5.4954 4.45629.9516S2-S3OUTSIDE
-5.4954 4.45629.9516S2-S3OUTSIDE
Line 36: Line 37:
-8.5616-2.08156.4801S1-S3OUTSIDE
-8.5616-2.08156.4801S1-S3OUTSIDE
-5.5161 4.45429.9704S2-S3OUTSIDE
-5.5161 4.45429.9704S2-S3OUTSIDE
-6.7458-2.17044.5754S1-S2 INSIDE 1.5210 9.48967.9686S1-S3 INSIDE 6.165713.86317.6974S2-S3 INSIDE WSES-FSAR-UNIT-3 3.9D-10PEAK STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE OUTSIDE WALL OF CUT F PEAKSTRESSES   PRINCIPAL STRESSES  STRESS      INTENSITIESTRN SX0 ST0 SR0  S1  S2 S3S1-S2S1-S2S2-S3A1  .59 4.450.00  .59 4.46 0.00-3.86  .59 4.45-2.67 4.450.00 -2.67 4.45 0.00-7.12-2.67 4.45B1-1.58-5.490.00 -1.58-5.49 0.00 3.91-1.56-5.49-4.84-5.490.00-4.84-5.49 0.00  .65-4.84-5.49C1-3.08  .050.00-3.08  .05 0.00-6.39-6.34  .05-6.34  .050.00-6.34  .05 0.00-6.39-6.34  .05C2-2.59  .130.00-2.59  .13 0.00-2.72-2.59  .13-5.85  .130.00-5.85  .13 0.00-5.98-5.85  .13C3-5.30-4.310.00-5.30-4.31 0.00 -.98-5.30-4.31-8.56-4.310.00-8.56-4.31 0.00-4.24-8.56-4.31C4-2.14 1.070.00-2.14 1.07 0.00-3.21-2.14 1.07 5.40 1.070.00-5.40 1.07 0.00-6.47-5.40 1.07D1-1.65  .250.00-1.65  .25 0.00-1.90-1.65  .25-4.91  .250.00-4.91  .25 0.00-5.16-4.91  .25D2 1.67  .990.00-1.67  .99 0.00-2.66-1.67  .99-4.93  .990.00-4.93  .99 0.00-5.92-4.93  .99D3 -.48 1.760.00 -.48 1.76 0.00-2.24 -.48 1.76-3.74 1.760.00-3.74 1.76 0.00-5.50-3.74 1.76E1 -.80 2.030.00 -.80 2.03 00.0-2.83 -.80 2.03-4.06 2.030.00-4.06 2.03 0.00-2.83 -.80 2.03E2 -.59 1.860.00 -.59 1.86 0.00-2.45 -.59 1.86-3.86 1.860.00-3.85 1.86 0.00-5.71-3.85 1.86H1-1.60 2.700.00-1.60 2.70 0.00-4.30-1.60 2.70-4.86 2.700.00-4.86 2.70 0.00-7.56-4.86 2.70I1-1.02 2.840.00-1.02 2.84 0.00-3.86-1.02 2.84-4.28 2.840.00-4.28 2.84 0.00-7.12-4.28 2.84I2 1.18 1.520.00 1.18 1.52 0.00 -.34 1.18 1.52-2.08 1.520.00-2.08 1.52 0.00-3.60-2.08 1.52S1 1.15 2.030.00 1.15 2.03 0.00 -.88 1.15 2.03-5.79 2.030.00-5.79 2.03 0.00-7.82-5.79 2.03S2-2.53 2.030.00-2.53 2.03 0.00-4.56-2.53 2.03-2.11 2.030.00-2.11 2.03 0.00-4.14-2.11 2.03 WSES-FSAR-UNIT-3 3.9D-11PEAK STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE INSIDE WALL OF CUT F PEAKSTRESSES   PRINCIPAL STRESSES  STRESS      INTENSITIESTRNSX0ST0SR0S1S2S3S1 - S2S1 - S3S2 - S3A1 3.81 1.042.25 3.81 1.04-2.25 2.77 6.06 3.29 -.88 1.042.25 -.88 1.04-2.25-1.92 1.37 3.29B118.2816.41 .0118.2816.41 -.01 1.8718.2916.4213.5916.41 .0113.5916.41 -.01-2.8213.6016.42C115.2112.432.2515.2112.43-2.25 2.7817.4614.6810.5112.432.2510.5112.43-2.25 2.7812.7614.68C225.8220.842.3525.8220.84-2.35 4.9828.1723.1921.1320.842.3521.1320.84-2.35  .2923.4823.19C325.5221.161.7325.5221.16-1.73 4.3627.2522.8920.8321.161.7320.8321.16-1.73 -.3422.5622.89C4 3.42 2.022.30 3.42 2.02-2.30 1.40 5.72 4.32-1.27 2.022.30-1.27 2.02-2.30-3.29 1.03 4.32D114.2611.471.9914.2611.47-1.99 2.8016.2513.46 9.5711.471.99 9.5711.47-1.99-1.9011.5613.46D212.6110.442.2512.6110.44-2.25 2.1814.8612.69 7.9210.442.25 7.9210.44-2.25-2.5210.1712.69D3 7.39 5.982.00 7.39 5.98-2.00 1.41 9.39 7.98 2.69 5.982.00 2.69 5.98-2.00-3.29 4.69 7.98E1 1.29 1.152.35 1.29 1.15 2.35-4.55-1.05 3.50-3.40 1.152.35-3.40 1.15 2.35-4.55-1.05 3.50E219.5815.362.1519.5815.36-2.15 4.2221.7317.5114.8815.362.1514.8815.36-2.15 -.4717.0317.51H113.5811.463.1313.5811.46-3.13 2.1216.7014.59 8.8811.463.13 8.8811.46-3.13-2.5812.0114.59I1 8.61 5.032.25 8.61 5.03-2.25 3.5810.86 7.28-3.92 5.032.25 3.92 5.03-2.25-1.11 6.17 7.28I2 9.9411.072.25 9.9411.07-2.25-1.1312.1913.32 5.2411.072.25 5.2411.07-2.25-5.83 7.4913.32S113.24 8.622.3513.24 8.62-2.35 4.6215.5910.97 3.25 8.622.35 3.25 8.62-2.35-5.37 5.6010.97S2 7.94 8.622.35 7.94 8.62-2.35 -.6810.2910.97 8.55 8.622.35 8.55 8.62-2.35 -.0710.9010.97 WSES-FSAR-UNIT-33.9D-12SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUB13.910.*3.91-4.568.474.23*02097152.500.0.00000012-.34200.*
-6.7458-2.17044.5754S1-S2 INSIDE 1.5210 9.48967.9686S1-S3 INSIDE 6.165713.86317.6974S2-S3 INSIDE WSES-FSAR-UNIT-3 3.9D-10PEAK STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE OUTSIDE WALL OF CUT F PEAK STRESSES   PRINCIPAL STRESSES  STRESS      INTENSITIESTRN SX0 ST0 SR0  S1  S2 S3S1-S2S1-S2S2-S3A1  .59 4.450.00  .59 4.46 0.00-3.86  .59 4.45-2.67 4.450.00 -2.67 4.45 0.00-7.12-2.67 4.45B1-1.58-5.490.00 -1.58-5.49 0.00 3.91-1.56-5.49-4.84-5.490.00-4.84-5.49 0.00  .65-4.84-5.49C1-3.08  .050.00-3.08  .05 0.00-6.39-6.34  .05-6.34  .050.00-6.34  .05 0.00-6.39-6.34  .05C2-2.59  .130.00-2.59  .13 0.00-2.72-2.59  .13-5.85  .130.00-5.85  .13 0.00-5.98-5.85  .13C3-5.30-4.310.00-5.30-4.31 0.00 -.98-5.30-4.31-8.56-4.310.00-8.56-4.31 0.00-4.24-8.56-4.31C4-2.14 1.070.00-2.14 1.07 0.00-3.21-2.14 1.07 5.40 1.070.00-5.40 1.07 0.00-6.47-5.40 1.07D1-1.65  .250.00-1.65  .25 0.00-1.90-1.65  .25-4.91  .250.00-4.91  .25 0.00-5.16-4.91  .25D2 1.67  .990.00-1.67  .99 0.00-2.66-1.67  .99-4.93  .990.00-4.93  .99 0.00-5.92-4.93  .99D3 -.48 1.760.00 -.48 1.76 0.00-2.24 -.48 1.76-3.74 1.760.00-3.74 1.76 0.00-5.50-3.74 1.76E1 -.80 2.030.00 -.80 2.03 00.0-2.83 -.80 2.03-4.06 2.030.00-4.06 2.03 0.00-2.83 -.80 2.03E2 -.59 1.860.00 -.59 1.86 0.00-2.45 -.59 1.86-3.86 1.860.00-3.85 1.86 0.00-5.71-3.85 1.86H1-1.60 2.700.00-1.60 2.70 0.00-4.30-1.60 2.70-4.86 2.700.00-4.86 2.70 0.00-7.56-4.86 2.70I1-1.02 2.840.00-1.02 2.84 0.00-3.86-1.02 2.84-4.28 2.840.00-4.28 2.84 0.00-7.12-4.28 2.84I2 1.18 1.520.00 1.18 1.52 0.00 -.34 1.18 1.52-2.08 1.520.00-2.08 1.52 0.00-3.60-2.08 1.52S1 1.15 2.030.00 1.15 2.03 0.00 -.88 1.15 2.03-5.79 2.030.00-5.79 2.03 0.00-7.82-5.79 2.03S2-2.53 2.030.00-2.53 2.03 0.00-4.56-2.53 2.03-2.11 2.030.00-2.11 2.03 0.00-4.14-2.11 2.03 WSES-FSAR-UNIT-3 3.9D-11PEAK STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE INSIDE WALL OF CUT F PEAK STRESSES   PRINCIPAL STRESSES  STRESS      INTENSITIESTRNSX0ST0SR0S1S2S3S1 - S2S1 - S3S2 - S3A1 3.81 1.042.25 3.81 1.04-2.25 2.77 6.06 3.29 -.88 1.042.25 -.88 1.04-2.25-1.92 1.37 3.29B118.2816.41 .0118.2816.41 -.01 1.8718.2916.4213.5916.41 .0113.5916.41 -.01-2.8213.6016.42C115.2112.432.2515.2112.43-2.25 2.7817.4614.6810.5112.432.2510.5112.43-2.25 2.7812.7614.68C225.8220.842.3525.8220.84-2.35 4.9828.1723.1921.1320.842.3521.1320.84-2.35  .2923.4823.19C325.5221.161.7325.5221.16-1.73 4.3627.2522.8920.8321.161.7320.8321.16-1.73 -.3422.5622.89C4 3.42 2.022.30 3.42 2.02-2.30 1.40 5.72 4.32-1.27 2.022.30-1.27 2.02-2.30-3.29 1.03 4.32D114.2611.471.9914.2611.47-1.99 2.8016.2513.46 9.5711.471.99 9.5711.47-1.99-1.9011.5613.46D212.6110.442.2512.6110.44-2.25 2.1814.8612.69 7.9210.442.25 7.9210.44-2.25-2.5210.1712.69D3 7.39 5.982.00 7.39 5.98-2.00 1.41 9.39 7.98 2.69 5.982.00 2.69 5.98-2.00-3.29 4.69 7.98E1 1.29 1.152.35 1.29 1.15 2.35-4.55-1.05 3.50-3.40 1.152.35-3.40 1.15 2.35-4.55-1.05 3.50E219.5815.362.1519.5815.36-2.15 4.2221.7317.5114.8815.362.1514.8815.36-2.15 -.4717.0317.51H113.5811.463.1313.5811.46-3.13 2.1216.7014.59 8.8811.463.13 8.8811.46-3.13-2.5812.0114.59I1 8.61 5.032.25 8.61 5.03-2.25 3.5810.86 7.28-3.92 5.032.25 3.92 5.03-2.25-1.11 6.17 7.28I2 9.9411.072.25 9.9411.07-2.25-1.1312.1913.32 5.2411.072.25 5.2411.07-2.25-5.83 7.4913.32S113.24 8.622.3513.24 8.62-2.35 4.6215.5910.97 3.25 8.622.35 3.25 8.62-2.35-5.37 5.6010.97S2 7.94 8.622.35 7.94 8.62-2.35 -.6810.2910.97 8.55 8.622.35 8.55 8.62-2.35 -.0710.9010.97 WSES-FSAR-UNIT-33.9D-12SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUB13.910.*3.91-4.568.474.23*02097152.500.0.00000012-.34200.*
S1-.88-300.*C3-.9830500.*D1-1.9025000.*
S1-.88-300.*C3-.9830500.*D1-1.9025000.*
E2-2.45945000.*D2-2.6625000.*E1-2.83945000.*
E2-2.45945000.*D2-2.6625000.*E1-2.83945000.*
Line 105: Line 106:
S-210.972000.*D-37.9825000.*I-17.28200.*C-43230000.*E-1094500.*
S-210.972000.*D-37.9825000.*I-17.28200.*C-43230000.*E-1094500.*
A-1-3.290.*
A-1-3.290.*
WSES-FSAR-UNIT-33.9D-16ATTACHMENT IITABULATION OF SUMMARY OFVERIFICATION RESULTSBC 10286SUPPORT SKIRT LOADING WSES-FSAR-UNIT-33.9D-17PROBLEM #1COMPARISON OF CLASSICAL SOLUTION AND COMPUTER SOLUTIONSKIRT STRESSESCOMPUTER SOLUTIONCLASSICAL SOLUTIONLoc. AMax. Moment:m-9.20-9.20B-20.55-20.55-29.75-29.753.223.22S30.4430.44Loc. BMax. Moment:m-9.20-9.20B20.5520.5511.3511.553.433.44S13.2713.27Loc. AMax. Shear:m-9.20-9.20B-18.19-18.19-27.39-27.393.653.6528.3428.35Loc. BMax. Shear:m-9.20-9.20B18.1918.198.998.993.873.87S11.8611.86FLANGE STRESSESBolt Load123.81125.64Bolt Stress31.1431.60FLANGE STRESSES:B15.1715.398.448.56T0.050.05S Surface15.1715.39 Mid-Surface8.448.56This indicates that the computer code is well within reasonable limits of accuracy.
WSES-FSAR-UNIT-33.9D-16ATTACHMENT IITABULATION OF  
 
==SUMMARY==
OFVERIFICATION RESULTSBC 10286SUPPORT SKIRT LOADING WSES-FSAR-UNIT-33.9D-17PROBLEM #1COMPARISON OF CLASSICAL SOLUTION AND COMPUTER SOLUTIONSKIRT STRESSESCOMPUTER SOLUTIONCLASSICAL SOLUTIONLoc. AMax. Moment:m-9.20-9.20B-20.55-20.55-29.75-29.753.223.22S30.4430.44Loc. BMax. Moment:m-9.20-9.20B20.5520.5511.3511.553.433.44S13.2713.27Loc. AMax. Shear:m-9.20-9.20B-18.19-18.19-27.39-27.393.653.6528.3428.35Loc. BMax. Shear:m-9.20-9.20B18.1918.198.998.993.873.87S11.8611.86FLANGE STRESSESBolt Load123.81125.64Bolt Stress31.1431.60FLANGE STRESSES:B15.1715.398.448.56T0.050.05S Surface15.1715.39 Mid-Surface8.448.56This indicates that the computer code is well within reasonable limits of accuracy.
WSES-FSAR-UNIT-33.9D-18PROBLEM #2COMPARISON OF CLASSICAL SOLUTION AND COMPUTER SOLUTIONSKIRT STRESSESCOMPUTER SOLUTIONCLASSICAL SOLUTIONLoc. AMax. Moment:m-1.73-1.73B-24.82-24.82-26.55-26.550.230.23S26.5526.55Loc. BMax. Moment:m-1.73-1.73B+24.82+24.8223.0923.090.600.6123.1223.12Loc. AMax. Shear:m-1.73-1.73B-5.91-5.93-7.64-7.661.571.568.268.27Loc. BMax. Shear:m-1.73-1.73B+5.91+5.93+4.17+4.201.941.94S5.705.72FLANGE STRESSESBolt Load150.35150.24Bolt Stress43.6643.63 WSES-FSAR-UNIT-33.9D-19SKIRT STRESSES  (Cont'd)FLANGE STRESSES  (Cont'd)COMPUTER SOLUTIONCLASSICAL SOLUTIONB31.7631.7413.6213.61T0.090.09S Surface31.7631.74 Mid-Surface13.6213.61This indicates that the computer code is well within reasonable limits of accuracy.
WSES-FSAR-UNIT-33.9D-18PROBLEM #2COMPARISON OF CLASSICAL SOLUTION AND COMPUTER SOLUTIONSKIRT STRESSESCOMPUTER SOLUTIONCLASSICAL SOLUTIONLoc. AMax. Moment:m-1.73-1.73B-24.82-24.82-26.55-26.550.230.23S26.5526.55Loc. BMax. Moment:m-1.73-1.73B+24.82+24.8223.0923.090.600.6123.1223.12Loc. AMax. Shear:m-1.73-1.73B-5.91-5.93-7.64-7.661.571.568.268.27Loc. BMax. Shear:m-1.73-1.73B+5.91+5.93+4.17+4.201.941.94S5.705.72FLANGE STRESSESBolt Load150.35150.24Bolt Stress43.6643.63 WSES-FSAR-UNIT-33.9D-19SKIRT STRESSES  (Cont'd)FLANGE STRESSES  (Cont'd)COMPUTER SOLUTIONCLASSICAL SOLUTIONB31.7631.7413.6213.61T0.090.09S Surface31.7631.74 Mid-Surface13.6213.61This indicates that the computer code is well within reasonable limits of accuracy.
WSES-FSAR-UNIT-33.9D-20SUMMARY OF THE METHODS EMPLOYED TO VERIFY THE CESHOCK CODETYPE OF CECHOCK PROBLEMMETHOD OF VERIFICATIONI. NONLINEAR, DAMPED PULSE EXCITED SYSTEMPUBLISHED CLASSICALSOLUTIONA. DEGREE OF NONLINEARITY VARIED(DUFFING OSCILLATOR)B. TYPE OF PULSE VARIEDII. MULTI-DEGREE OF FREEDOM BASE EXITEDINDEPENDENT COMPUTER CODELATERAL SYSTEM WITH FRICTION, GAPS,AND DAMPINGA. WITHOUT HYDRODYNAMIC MASSB. WITH HYDRODYNAMIC MASSIII. FRICTION ELEMENT WITH STATIC ANDANALYTICAL SOLUTIONDYNAMIC COEFFICIENTS OF FRICTIONA. COEFFICIENT OF FRICTION VELOCITYNON-DEPENDENTB. COEFFICIENT OF FRICTION VELOCITYDEPENDENTIV.IMPACT ELEMENT WITH COEFFICIENT OFANALYTICAL SOLUTIONRESTITUTIONV.HYSTERESIS ELEMENT:INDEPENDENT COMPUTER CODETWO DOF SYSTEM WITH SPRING ANDGAP ELEMENTS 0.-0.-0.NONLINEAR, DAMPED PULSE EXCITEDSYSTEMDUFFING OSCILLATOR itO.li+x(l+x3~cosa TIME, SEC o CESHOCK II500100BASE EXCITATION PROBLEM INCLUDES, DAMPING, GAPS HYDRODYNAMIC MASS . CESHOCKBASETIME HISTORY 0 10BASE1015TIME20
WSES-FSAR-UNIT-33.9D-20
 
==SUMMARY==
OF THE METHODS EMPLOYED TO VERIFY THE CESHOCK CODETYPE OF CECHOCK PROBLEMMETHOD OF VERIFICATIONI. NONLINEAR, DAMPED PULSE EXCITED SYSTEMPUBLISHED CLASSICALSOLUTIONA. DEGREE OF NONLINEARITY VARIED(DUFFING OSCILLATOR)B. TYPE OF PULSE VARIEDII. MULTI-DEGREE OF FREEDOM BASE EXITEDINDEPENDENT COMPUTER CODELATERAL SYSTEM WITH FRICTION, GAPS,AND DAMPINGA. WITHOUT HYDRODYNAMIC MASSB. WITH HYDRODYNAMIC MASSIII. FRICTION ELEMENT WITH STATIC ANDANALYTICAL SOLUTIONDYNAMIC COEFFICIENTS OF FRICTIONA. COEFFICIENT OF FRICTION VELOCITYNON-DEPENDENTB. COEFFICIENT OF FRICTION VELOCITYDEPENDENTIV.IMPACT ELEMENT WITH COEFFICIENT OFANALYTICAL SOLUTIONRESTITUTIONV.HYSTERESIS ELEMENT:INDEPENDENT COMPUTER CODETWO DOF SYSTEM WITH SPRING ANDGAP ELEMENTS 0.-0.-0.NONLINEAR, DAMPED PULSE EXCITED SYSTEM DUFFING OSCILLATOR itO.li+x(l+x3~cosa TIME, SEC o CESHOCK II 500 100 BASE EXCITATION PROBLEM INCLUDES, DAMPING, GAPS HYDRODYNAMIC MASS . CESHOCK BASE TIME HISTORY 0 10 BASE 10 15 TIME 20


ELEMENT WITHCOEFFICIENT OFCOEFFICIENTOF RESJITUTION 60SECONDS TWO DEGREE OF FREEDOM PROBLEM WITH GAPS
ELEMENT WITH COEFFICIENT OF COEFFICIENTOF RES JITUTION 60 SECONDS TWO DEGREE OF FREEDOM PROBLEM WITH GAPS
  + 2 DISP.NODE3....I SEC}}
  + 2 DISP.NODE3....I SEC}}

Revision as of 05:02, 8 July 2018

Waterford Steam Electric Station, Unit 3, Revision 309 to Final Safety Analysis Report, Chapter 3, Design of Structures, Components Equipment and Systems, Appendix 3.9D - NSSS Computer Code Verification
ML16256A191
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WSES-FSAR-UNIT-3 3.9D-1APPENDIX 3.9DNSSS COMPUTER CODE VERIFICATION WSES-FSAR-UNIT-3 3.9D-2APPENDIX 3.9DTABLE OF CONTENTSAttachment I - BCH 10192 VerificationAttachment II - BC 10286 Verification Attachment III -, CE SHOCK Verification WSES-FSAR-UNIT-3 3.9D-3ATTACHMENT ITABULATION OF

SUMMARY

OFVERIFICATION RESULTS BCH 10192NOZZLE PRIMARY PLUS SECONDARYSTRESS RANGE CHECK, PEAK STRESSCALCULATION AND MAXIMUM USAGEFACTOR LOCATION WSES-FSAR-UNIT-3 3.9D-4II.Sample Problem - (Hand Solution)

Cut FThe required input quantities as given on sheet for this cut are listed on sheet as printed by theprogram. A sample calculation to show the inside and outside primary plus secondary stress validity is shown below.Outside Wall - Trans Al:xxpressxthxpipe = + +/-.3)-2(1 1.63 (-19.1).231-1.86-)1.034(2.25

-+/-=x = .59, -2.67 th+press=Note the radial Gradient

.3)-(2(1 (-19.1).231-.641-.863(2.25)

=Sx = S = 3.15 isprinted out by the program.

= 4.45 ksir = 0Inside Wall - Trans Al:

.3)-2(1 1.63 (-19.1).231 1.887+)2.496(2.25

=+/-x = 5.98, 2.72

.3)-2(1 (-19.1).231+.299+)3.435(2.25

=Note the radial GradientSx = S = -3.15 = 4.88r = -2.25 =.13Principal Stresses:

S 1 = 5.98+4.88 + 1/2 (5.98-4.88) + 4(.13) = 6.00 2 22 S 2 = 5.43 - .57 = 4.86 S 3 = -2.25 WSES-FSAR-UNIT-3 3.9D-5Stress Intensities:S 1 - S 2 = 1.13 ksi S 1 - S 3 = 8.25 ksi S 2 - S 3 = 7.11 ksiThe 3 S m stress range check is made without round off. It is tabulated for all three stressintensities for the outside and inside surfaces, first for + pipe loads and then for (-) pipe.Peak StressesOutside 1.0(-2.67)

(.59), 1.0=sec=][Kt+xpri xpeakThlinear xbending axial]1 (K+-[1)1 (K++=t tµµ+/-pipe th press peak ksi 4.45 sec=+=prir= 0Insideµ-1]T E[K=2+.sec t+xpri xpeak.88-2.72 3.82=(-10.1)].7.231+1.44[5.98=Note the radial gradient S x = S= -3.33 isprinted by the program Linear T]-1[)]1 (+[1+)1 (K+th t pipe th peak+++/-=µµµE K t xbending press 3.33]-[-3.15.3(.44)]+[1+2.7)(.44)(.3)(+.299+7.73== 1.04r = -2.25Principal stresses and stress intensities are taken as the stress components calculated abovesince shear is generally small.Usage Factor WSES-FSAR-UNIT-3 3.9D-6For the example given no significant usage was developed, however, it can be seen that themechanism is performed properly. Starting with the outside wall each stress intensity is arranged in descending order then each is arranged for the inside wall, (+pipe). This is then repeated for each intensity for (-) pipe. Pairing the max intensity with the min can then be made in each case permitting computation of the stress range and alternating stress. The program will help to locate the maximum usage factor however, its limitation have been duly noted on page 1.

WSES-FSAR-UNIT-3 3.9D-7TOTAL STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE OUTSIDE WALL OF CUT FTOTAL STRESSES PRINCIPAL STRESSES STRESS INTENSITIESTRN SXC STG SROTXTO S1 S2 S3S1-S2S1-S2S2-S3A1 1 .59 4.450.00 .13 .59 4.460.00 3.87 .59 4.46-2.67 4.450.00 .13-2.07 4.450.00-7.12-2.67 4.45B1 1-1.58-5.490.00 .13-1.58-5.500.00 3.92-1.58-5.50-4.84-5.490.00 .13-4.82-5.520.00 .70-4.82-5.52C1 1-3.08 .050.00 .13-3.09 .050.00-3.14-3.09 .05-6.34 .050.00 .13-6.34 .050.00-6.39-6.34 .05C2 1-2.59 .130.00 .13-2.59 .140.00-2.73-2.59 .14-5.85 .130.00 .13-5.85 .140.00-5.98-5.85 .14C3 1-5.30-4.310.00 .13-5.31-4.300.00-1.02-5.31-4.30-8.56-4.310.00 .13-8.56-4.310.00-3.22-2.14 1.08C4 1-2.14 1.070.00 .13-2.14 1.080.00-3.22-2.14 1.08-5.40 1.070.00 .13-5.40 1.070.00-6.47-5.40 1.07D1 1-1.65 .250.00 .13-1.66 .260.00-1.92-1.66 .26-4.91 .250.00 .13-4.91 .260.00-5.17-4.91 .26D2 1-1.67 .990.00 .13-1.68 1.000.00-2.67-1.68 1.00-4.93 .990.00 .13-4.93 .990.00-5.93-4.93 .99D3 1 -.48 1.760.00 .13 -.49 1.770.00-2.26 -.49 1.77-3.74 1.760.00 .13-3.74 1.770.00-5.51-3.74 1.77E1 1 -.80 2.030.00 .13 -.81 2.030.00-2.84 -.81 2.03-4.06 2.030.00 .13-4.06 2.030.00-6.09-4.06 2.03E2 1 -.59 1.860.00 .13 -.60 1.860.00-2.46 -.60 1.86-3.85 1.860.00 .13-3.86 1.860.00-5.71-3.86 1.86H1 1-1.60 2.700.00 .13-1.61 2.700.00-4.31-1.61 2.70-4.86 2.700.00 .13-4.86 2.700.00-7.56-4.86 2.70I1 1-1.02 2.840.00 .13-1.03 2.840.00-3.87-1.03 2.84-4.28 2.840.00 .13-4.28 2.840.00-7.12-4.28 2.84I2 1 1.18 1.520.00 .13 1.14 1.570.00 -.43 1.14 1.57-2.08 1.520.00. 13-2.08 1.530.00-3.61-2.08 1.53S1 1 1.15 2.030.00. 44 .97 2.210.00-1.24 .97 2.21-5.79 2.030.00 .44-5.81 2.050.00-7.87-5.81 2.05S2 1-2.53 2.0300.0-.18-2.54 2.040.00-4.57-2.54 2.0402.11 2.030.00-.18-2.12 2.040.00-4.15.-2.12 2.04 WSES-FSAR-UNIT-3 3.9D-8TOTAL STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE OUTSIDE WALL OF CUT FTOTAL STRESSES PRINCIPAL STRESSES STRESS INTENSITIESTRN SX1 ST1 SR1TXT1 S1 S2 S3S1-S2S1-S2S2-S3A1 1 5.96 4.882.25 .13 6.00 4.86-2.25 1.14 8.25 7.11-2.72 4.882.25 .13 2.71 4.88-2.25-2.17-4.96 7.13B1 1 4.77 6.15 .01 .13 4.76 6.16-.01-1.40 4.77 6.17 1.51 6.15 .01 .13 1.51 6.16-.01-4.64 1.52 6.17C1 1 9.7410.472.25 .13 9.7110.49-2.25 -.7811.9612.74 6.4810.472.25 .13 6.4710.47-2.25-4.00 8.7212.72C2 1 9.25 9.982.35 .13 5.99 9.99-2.35 -.7811.5812.35 5.99 9.982.35 .13 5.99 9.99-2.35-4.00 8.7212.72C3 111.0211.741.73 .1311.0011.77-1.73 -.7712.7313.50 7.7611.741.73 .1311.0011.75-1.73 -.7712.7313.50C4 1 8.88 8.602.30 .13 8.93 8.55-2.30 .3811.2310.85 5.62 8.602.30 .13 8.93 8.61-2.30-3.00 7.9110.91D1 1 7.79 8.261.99 .13 7.76 8.29-1.99 -.53 9.7510.28 4.53 8.261.99 .13 4.53 8.26-1.99-3.73 6.5210.25D2 1 8.26 9.122.25 .13 8.24 9.14-2.25 -.9010.4911.39 5.00 9.122.25 .13 5.00 9.13-2.25-4.13 7.2511.38D3 1 6.71 7.332.00 .13 6.69 7.35-2.00 -.67 8.69 9.35 3.45 7.332.00 .13 3.45 7.33-2.00-3.88 5.45 9.33E1 1 7.50 8.072.35 .13 7.47 8.10-2.35 -.63 9.8210.45 4.24 8.072.35 .13 4.23 8.08-2.35-3.85 6.5810.43E2 1 7.00 7.392.15 .13 6.96 7.42-2.15 -.47 9.11 9.57 3.74 7.392.15 .13 3.73 7.39-2.15-3.66 5.88 9.54H1 1 9.4310.733.13 .13 9.4210.75-3.13-1.3312.5413.87 8.1710.733.13 .13 6.1710.74-3.13-4.57 9.2913.86I1 1 7.60 6.492.25 .13 4.33 6.48-2.25 1.14 9.86 8.73 4.34 6.492.25 .13 7.61 6.50-2.25-2.17 6.58 8.75I2 1 5.28 8.772.25 .13 5.28 8.77-2.25-3.49 7.5311.02 2.02 8.772.25. 13 2.02 8.77-2.25-6.75 4.2711.02S1 1 9.19 8.092.35. 44 9.35 7.93 2.35 1.4211.7010.28 2.25 8.092.35 .44 2.22 8.12 2.35-5.90 4.5710.47S2 1 5.51 8.092.35-.18 5.50 8.10 2.35-2.60 7.8510.45 5.93 8.092.35-.18 5.92 8.10 2.35-2.18.-8.2710.45 WSES-FSAR-UNIT-3 3.9D-9RANGE OF STRESS CRITERIA MIN MAX RANGE-4.5731 3.91778.4908S1-S2OUTSIDE-5.3145 1.13928.4537S1-S3OUTSIDE

-5.4954 4.45629.9516S2-S3OUTSIDE

-3.4904 1.41604.9064S1-S2 INSIDE 4.772512.73117.9586S1-S3 INSIDE 6.174213.87227.5980S2-S3 INSIDE-7.8683 .69928.5675S1-S2OUTSIDE

-8.5616-2.08156.4801S1-S3OUTSIDE

-5.5161 4.45429.9704S2-S3OUTSIDE

-6.7458-2.17044.5754S1-S2 INSIDE 1.5210 9.48967.9686S1-S3 INSIDE 6.165713.86317.6974S2-S3 INSIDE WSES-FSAR-UNIT-3 3.9D-10PEAK STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE OUTSIDE WALL OF CUT F PEAK STRESSES PRINCIPAL STRESSES STRESS INTENSITIESTRN SX0 ST0 SR0 S1 S2 S3S1-S2S1-S2S2-S3A1 .59 4.450.00 .59 4.46 0.00-3.86 .59 4.45-2.67 4.450.00 -2.67 4.45 0.00-7.12-2.67 4.45B1-1.58-5.490.00 -1.58-5.49 0.00 3.91-1.56-5.49-4.84-5.490.00-4.84-5.49 0.00 .65-4.84-5.49C1-3.08 .050.00-3.08 .05 0.00-6.39-6.34 .05-6.34 .050.00-6.34 .05 0.00-6.39-6.34 .05C2-2.59 .130.00-2.59 .13 0.00-2.72-2.59 .13-5.85 .130.00-5.85 .13 0.00-5.98-5.85 .13C3-5.30-4.310.00-5.30-4.31 0.00 -.98-5.30-4.31-8.56-4.310.00-8.56-4.31 0.00-4.24-8.56-4.31C4-2.14 1.070.00-2.14 1.07 0.00-3.21-2.14 1.07 5.40 1.070.00-5.40 1.07 0.00-6.47-5.40 1.07D1-1.65 .250.00-1.65 .25 0.00-1.90-1.65 .25-4.91 .250.00-4.91 .25 0.00-5.16-4.91 .25D2 1.67 .990.00-1.67 .99 0.00-2.66-1.67 .99-4.93 .990.00-4.93 .99 0.00-5.92-4.93 .99D3 -.48 1.760.00 -.48 1.76 0.00-2.24 -.48 1.76-3.74 1.760.00-3.74 1.76 0.00-5.50-3.74 1.76E1 -.80 2.030.00 -.80 2.03 00.0-2.83 -.80 2.03-4.06 2.030.00-4.06 2.03 0.00-2.83 -.80 2.03E2 -.59 1.860.00 -.59 1.86 0.00-2.45 -.59 1.86-3.86 1.860.00-3.85 1.86 0.00-5.71-3.85 1.86H1-1.60 2.700.00-1.60 2.70 0.00-4.30-1.60 2.70-4.86 2.700.00-4.86 2.70 0.00-7.56-4.86 2.70I1-1.02 2.840.00-1.02 2.84 0.00-3.86-1.02 2.84-4.28 2.840.00-4.28 2.84 0.00-7.12-4.28 2.84I2 1.18 1.520.00 1.18 1.52 0.00 -.34 1.18 1.52-2.08 1.520.00-2.08 1.52 0.00-3.60-2.08 1.52S1 1.15 2.030.00 1.15 2.03 0.00 -.88 1.15 2.03-5.79 2.030.00-5.79 2.03 0.00-7.82-5.79 2.03S2-2.53 2.030.00-2.53 2.03 0.00-4.56-2.53 2.03-2.11 2.030.00-2.11 2.03 0.00-4.14-2.11 2.03 WSES-FSAR-UNIT-3 3.9D-11PEAK STRESSES, PRINCIPAL STRESSES AND STRESS INTENSITIESAT THE INSIDE WALL OF CUT F PEAK STRESSES PRINCIPAL STRESSES STRESS INTENSITIESTRNSX0ST0SR0S1S2S3S1 - S2S1 - S3S2 - S3A1 3.81 1.042.25 3.81 1.04-2.25 2.77 6.06 3.29 -.88 1.042.25 -.88 1.04-2.25-1.92 1.37 3.29B118.2816.41 .0118.2816.41 -.01 1.8718.2916.4213.5916.41 .0113.5916.41 -.01-2.8213.6016.42C115.2112.432.2515.2112.43-2.25 2.7817.4614.6810.5112.432.2510.5112.43-2.25 2.7812.7614.68C225.8220.842.3525.8220.84-2.35 4.9828.1723.1921.1320.842.3521.1320.84-2.35 .2923.4823.19C325.5221.161.7325.5221.16-1.73 4.3627.2522.8920.8321.161.7320.8321.16-1.73 -.3422.5622.89C4 3.42 2.022.30 3.42 2.02-2.30 1.40 5.72 4.32-1.27 2.022.30-1.27 2.02-2.30-3.29 1.03 4.32D114.2611.471.9914.2611.47-1.99 2.8016.2513.46 9.5711.471.99 9.5711.47-1.99-1.9011.5613.46D212.6110.442.2512.6110.44-2.25 2.1814.8612.69 7.9210.442.25 7.9210.44-2.25-2.5210.1712.69D3 7.39 5.982.00 7.39 5.98-2.00 1.41 9.39 7.98 2.69 5.982.00 2.69 5.98-2.00-3.29 4.69 7.98E1 1.29 1.152.35 1.29 1.15 2.35-4.55-1.05 3.50-3.40 1.152.35-3.40 1.15 2.35-4.55-1.05 3.50E219.5815.362.1519.5815.36-2.15 4.2221.7317.5114.8815.362.1514.8815.36-2.15 -.4717.0317.51H113.5811.463.1313.5811.46-3.13 2.1216.7014.59 8.8811.463.13 8.8811.46-3.13-2.5812.0114.59I1 8.61 5.032.25 8.61 5.03-2.25 3.5810.86 7.28-3.92 5.032.25 3.92 5.03-2.25-1.11 6.17 7.28I2 9.9411.072.25 9.9411.07-2.25-1.1312.1913.32 5.2411.072.25 5.2411.07-2.25-5.83 7.4913.32S113.24 8.622.3513.24 8.62-2.35 4.6215.5910.97 3.25 8.622.35 3.25 8.62-2.35-5.37 5.6010.97S2 7.94 8.622.35 7.94 8.62-2.35 -.6810.2910.97 8.55 8.622.35 8.55 8.62-2.35 -.0710.9010.97 WSES-FSAR-UNIT-33.9D-12SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUB13.910.*3.91-4.568.474.23*02097152.500.0.00000012-.34200.*

S1-.88-300.*C3-.9830500.*D1-1.9025000.*

E2-2.45945000.*D2-2.6625000.*E1-2.83945000.*

C4-3.2130500.*

A1-3.86500.*

I1-3.86200.*H1-4.3010.*S2-4.561500.*SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUI21.180.*1.18-5.306.483.24*2097152.200.0.000000S11.15200.*A1.59500.*

D3-.4825000.*

E2-.59945000.*

E1-.80945000.*I1-1.020.*B1-1.58500.*

H1-1.6010.*

D2-1.6725000.*

C4-2.1430300.*

S2-2.532000.*C3-5.3030300.*SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUA14.450.*4.45-5.499.944.97*02097152.500.0.000000 I12.84200.*

H12.7010.*S22.032000.*S12.03200.*

E12.03945000.*

E21.86945000.*

D31.7625000.*I21.52200.*C41.0730500.*D1.2525000.*C3-4.3130500.*

B1-5.490.*

WSES-FSAR-UNIT-33.9D-13SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUC24.9830300.*4.98-1.136.113.06*02097152.200.0.000000S14.62200.*

E24.22945000.*I13.580.*D12.8025000.*

A12.77500.*H12.1210.*B11.87500.*

D31.4125000.*

C41.4030300.*E1945000.*S22000.*SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUC228.170.*28.173.6424.5312.27*2097152.30500.0.000000E221.73914500.*B118.29500.*

H116.7010.*

D116.2525000.*

S115.59200.*I212.19200.*I110.86200.*

S210.292000.*

D39.3925000.*

A18.06500.*

C45.720.*E13.64914500.*SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUC223.1930000.*23.193.2919.909.95*02097152.500.0.000000 E217.51945000.*

B116.42500.*H114.5910.*D113.4625000.*

I213.32200.*

S110.97200.*

S210.972000.*D37.9825000.*I17.28200.*C44.3230000.*E13.50945000.*

A13.290.*

WSES-FSAR-UNIT-33.9D-14SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUB-1.65300.*.65-7.828.474.23*2097152.200.0.000000I-2-3.60200.*

S-2-4.140.*C-3-4.2430500.*D-1-5.1625000.*

E-2-5.71945000.*D-2-5.9225000.*E-1-6.09945000.*

C-4-6.4730500.*

A-1-7.12500.*I-1-7.12200.*H-1-7.5610.*

S-1-7.820.*SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUI-2-2.080.*-2.08-8.566.483.24*02097152.200.0.000000S-2-2.112000.*A-1-2.67500.*

D-3-3.7425000.*

E-2-3.85945000.*

E-1-4.06945000.*I-1-4.280.*B-1-4.84500.*

H-1-4.8610.*

D-2-4.9325000.*

C-4.4030300.*S-1.79200.*C-3-8.5630300.*SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUA-14.450.*4.45-5.499.944.97*02097152.500.0.000000 I-12.84200.*

H-12.7010.*S-12.03200.*S-22.032000.*

E-12.03945000.*

E-21.86945500.*

D-31.7625000.*I-21.52200.*C-41.0730500.*D-1.2525000.*C-3-4.3130500.*

B-1-5.490.*

WSES-FSAR-UNIT-33.9D-15SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUC-2.2930300.*.29-5.836.113.06*02097152.200.0.000000S-2-.072000.*

E-2-.47945000.*I-1-1.110.*D-1-1.9025000.*

A-1-1.92500.*H-1-2.5810.*B-1-2.82500.*

D-3-3.2925000.*

C-4-3.2930300.*E-1-4.55945000.*S-1-5.37200.*

I-2-5.830.*SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUC-223.480.*23.48-1.0524.5312.27*0209715230500.0.000000E-217.03914500.*B-113.60500.*

H-112.0110.*

D-111.5625000.*

S-210.902000.*I-27.49200.*I-16.17200.*

S-15.60200.*

D-34.6925000.*

A-11.37500.*C-41.030.*E-1-1.05914500.*SUM USE.FAC= 0.000000CYCLIC STRESSES AND CORRESPONDING USAGE FACTORSTNS PEAKN SPEC*S MAXS MINSRSAN ALLN LIFEUC-223.1930000.*23.193.2919.909.95*02097152.500.0.000000 E-217.51945000.*

B-116.42500.*H-114.5910.*D-113.4625000.*

I-213.32200.*

S-110.97200.*

S-210.972000.*D-37.9825000.*I-17.28200.*C-43230000.*E-1094500.*

A-1-3.290.*

WSES-FSAR-UNIT-33.9D-16ATTACHMENT IITABULATION OF

SUMMARY

OFVERIFICATION RESULTSBC 10286SUPPORT SKIRT LOADING WSES-FSAR-UNIT-33.9D-17PROBLEM #1COMPARISON OF CLASSICAL SOLUTION AND COMPUTER SOLUTIONSKIRT STRESSESCOMPUTER SOLUTIONCLASSICAL SOLUTIONLoc. AMax. Moment:m-9.20-9.20B-20.55-20.55-29.75-29.753.223.22S30.4430.44Loc. BMax. Moment:m-9.20-9.20B20.5520.5511.3511.553.433.44S13.2713.27Loc. AMax. Shear:m-9.20-9.20B-18.19-18.19-27.39-27.393.653.6528.3428.35Loc. BMax. Shear:m-9.20-9.20B18.1918.198.998.993.873.87S11.8611.86FLANGE STRESSESBolt Load123.81125.64Bolt Stress31.1431.60FLANGE STRESSES:B15.1715.398.448.56T0.050.05S Surface15.1715.39 Mid-Surface8.448.56This indicates that the computer code is well within reasonable limits of accuracy.

WSES-FSAR-UNIT-33.9D-18PROBLEM #2COMPARISON OF CLASSICAL SOLUTION AND COMPUTER SOLUTIONSKIRT STRESSESCOMPUTER SOLUTIONCLASSICAL SOLUTIONLoc. AMax. Moment:m-1.73-1.73B-24.82-24.82-26.55-26.550.230.23S26.5526.55Loc. BMax. Moment:m-1.73-1.73B+24.82+24.8223.0923.090.600.6123.1223.12Loc. AMax. Shear:m-1.73-1.73B-5.91-5.93-7.64-7.661.571.568.268.27Loc. BMax. Shear:m-1.73-1.73B+5.91+5.93+4.17+4.201.941.94S5.705.72FLANGE STRESSESBolt Load150.35150.24Bolt Stress43.6643.63 WSES-FSAR-UNIT-33.9D-19SKIRT STRESSES (Cont'd)FLANGE STRESSES (Cont'd)COMPUTER SOLUTIONCLASSICAL SOLUTIONB31.7631.7413.6213.61T0.090.09S Surface31.7631.74 Mid-Surface13.6213.61This indicates that the computer code is well within reasonable limits of accuracy.

WSES-FSAR-UNIT-33.9D-20

SUMMARY

OF THE METHODS EMPLOYED TO VERIFY THE CESHOCK CODETYPE OF CECHOCK PROBLEMMETHOD OF VERIFICATIONI. NONLINEAR, DAMPED PULSE EXCITED SYSTEMPUBLISHED CLASSICALSOLUTIONA. DEGREE OF NONLINEARITY VARIED(DUFFING OSCILLATOR)B. TYPE OF PULSE VARIEDII. MULTI-DEGREE OF FREEDOM BASE EXITEDINDEPENDENT COMPUTER CODELATERAL SYSTEM WITH FRICTION, GAPS,AND DAMPINGA. WITHOUT HYDRODYNAMIC MASSB. WITH HYDRODYNAMIC MASSIII. FRICTION ELEMENT WITH STATIC ANDANALYTICAL SOLUTIONDYNAMIC COEFFICIENTS OF FRICTIONA. COEFFICIENT OF FRICTION VELOCITYNON-DEPENDENTB. COEFFICIENT OF FRICTION VELOCITYDEPENDENTIV.IMPACT ELEMENT WITH COEFFICIENT OFANALYTICAL SOLUTIONRESTITUTIONV.HYSTERESIS ELEMENT:INDEPENDENT COMPUTER CODETWO DOF SYSTEM WITH SPRING ANDGAP ELEMENTS 0.-0.-0.NONLINEAR, DAMPED PULSE EXCITED SYSTEM DUFFING OSCILLATOR itO.li+x(l+x3~cosa TIME, SEC o CESHOCK II 500 100 BASE EXCITATION PROBLEM INCLUDES, DAMPING, GAPS HYDRODYNAMIC MASS . CESHOCK BASE TIME HISTORY 0 10 BASE 10 15 TIME 20

ELEMENT WITH COEFFICIENT OF COEFFICIENTOF RES JITUTION 60 SECONDS TWO DEGREE OF FREEDOM PROBLEM WITH GAPS

+ 2 DISP.NODE3....I SEC

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