ML20100P929

Tunnel Main Steam Line Leak Rate Calculation

ML20100P929
Person / Time
Site:	LaSalle
Issue date:	12/05/1995
From:	Deboo G COMMONWEALTH EDISON CO.
To:
Shared Package
ML20100P861	List: ML20100P860 ML20100P867 ML20100P876 ML20100P898 ML20100P906 ML20100P917 ML20100P929 ML20100P960
References
NED-P-MSD-086, NED-P-MSD-086-R00, NED-P-MSD-86, NED-P-MSD-86-R, NUDOCS 9603110410
Download: ML20100P929 (26)

Text

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s u u m c5 NEP-12-02 R;visinn 0 COMMONWEALTH EDISON COMPANY CALCULATION TITLE PAGE CALCULATION NO. NED-P MSD-086 PAGE NO.: 1 0 SAFETY RELATED 0 REGULATORY RELATED PS NON-SAFETY RELATED CALCULATION T!TLE: LaSalle Station Steam Tunnel Main Steam Line Leak Rate Calculation 4

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1 STATION / UNIT: LaSalle Station /U1& U2 SYSTEM ABREVIATION: MS EOUIPMENT NO.: (IF APPL) PROJECT NO.: (IF APPL)

REV:00 STATUS: CriRON NO.r314 A y a DATE: t2/6/$f PREPARED BY: Guy H. DeBoo M u , r J C $7M ' ' " DATE: 12/K/7C REVISION

SUMMARY

Initial Issue v / '

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ANY A UMPTIONS IN THIS CALCULATION REC 1RE LATER VERIFICATION YES NO i

REVIEWED BY: V. K. Verma p //tw DATE: /2/r/a3-i REVIEW METHOD: Detailed Review COMMENTS (C OR NC):NC APPROVED BY: M d $ = = r eC DATE: /2/s-/9 r 9603110410 960301 ,

PDR ADOCK 05000373 i p PDR l l

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NEP-12-02 R:visi:n 0 COMMONWEALTH EDISON COMPANY CALCULATION REVISION PAGE CALCULEl'lON NO. NED-P-MSD-086 PAGE NO.: 2 l REV: STATUS: CHRON NO. DATE:

l PREPARED BY: DATE:

REVISION

SUMMARY

l l

DQYES LJ ANY ASSUMPTIONS IN THIS CALCULATION REQUIRE LATER VERIFICATION LJ NO REVIEWED BY: DATE:

REVIEW METHOD: COMMENTS (C OR NC):

APPROVED BY: DATE:

1 REV: STATUS: CHRON NO. DATE:

1 PREPARED BY: DATE:

REVISION

SUMMARY

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I D3 ANY ASSUMPTIONS IN THIS CALCULATION REQUIRE LATER VERIFICATION  !

L YES O NO l

REVIEWED BY: DATE:

REVIEW METHOD: I COMMENTS (C OR NC). j APPROVED BY: DATE I

(Final) i

Exhibit D NEP-12-02 R;virlen 0 COMMONWEALTH EDISON COMPANY CALCULATION TABLE OF CONTENTS PROJECT NO. ,

CALCULATION NO. NED-P-MSD-086 REV. NO. 00 PAGE NO. 3 I DESCRIPTION PAGE NO. SUB-PAGE NO.

TITLE PAGE 1 REVISION

SUMMARY

2 TABLE OF CONTENTS 3 PURPOSE / OBJECTIVE 4 METHODOLOGY AND ACCEPTANCE CRITERIA 4 ASSUMPTIONS 5 DESIGN INPUT 5 REFERENCES 7 CALCULATIONS 7

SUMMARY

AND CONCLUSIONS 10 ATTACHMENTS Attachment A A1-A13 Attachment B B1-B3 1

UUMMUNWEALTH EDISON COMPANY l CALCULATION NO,: NED-P-MSD-086 PAGE NO. 4 1.0 Purpose / Objective:

This calculation determines the critical crack size and its projected leakage for the Main Steam (MS) line outside the containment building of the LaSalle Nuclear Station. The piping being evaluated is downstream of the outboard isolation valves in the steam tunnel. These quantities are being calculated to determine the maximum possible leak rate, prior to line rupture, for the MS line during normal operation. This maximum leak rate is needed to support the leakage detection requirement of 10CFR50 Appendix A General Design Criteria 54.

2.0 Methodology and Acceptance Criteria:

The critical crack size is calculated using a limit load methodology. This approach is used because the normal operating temperature of the MS line is 550'F which is significantly grcater than the minimum upper shelf temperature (defined as 200*F by Reference 1) for A155 Gr KC70 carbon steel piping material. At this temperature the piping material possesses significant ductility and sufficient toughness to justify a plastic collapse failure mechanism. Test results for the carbon steel pipe tests documented in References 3 and 4 show the failure loads are greater than the loads predicted by limit load methodology when 2.4 Sm is used as the definition of the flow stress. Since this line is not subject to aging mechanisms known to embrittle the piping material, this approach remains valid for the operating life of the MS line. Experience has shown that circumferentially oriented flaws produce the limiting critical crack length and associated leak rate. This is because the operating loads and pressure contribute to the crack opening and flaw instability for a circumferential flaw where only the pressure load contributes to crack opening and instability for the axially oriented flaws. This evaluation determines the critical crack size and leak rate for a circumferentially oriented throughwall flaw using a limit load approach. This methodology has also been validated by GE for this application in Reference 7. The limit load methodology defined in the ASME Boiler & Pressure Vessel Code,Section XI,1989 Edition, Reference 1, is used as guidance for this calculation. The specific equations used to determine the allowable bending moment for the critical crack size is provided in Section 6.0 of this calculation. Attachment A summarizes the piping axial forces and bending moments for the subject piping. This evaluation uses the maximum operating bending moment and is listed in Section 4.0 of this calculation. Alimit load evaluation uses the material flow stress to determine the limiting bending moment which would cause plastic collapse. The material flow stress for this calculation is defirsed as 2.4 S, at the operating temperature and is listed in Section 4.0.

l To calculate the leak rate from the critical crack size, the PICEP program, Reference 2, developed by EPRI is used. This program uses an elastic plastic estimation scheme to i

calculate the crack opening displacement of the circumferential throughwall flaw under combined tension and bending loads. The leak rate calculation for steam through the crack is based on the steady state, single phase energy equation assuming isentropic flow. See Reference 2 for more details on the analytical approach and the validation for this approach REVISION NO. 0 l

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UUMRIONWEALTH EDISON COMPANY l CALCULATION NO,: NED P-MSD-086 PAGE NO. 5 against test results. To calculate the crack opening displacement, the stress-strain relationship for the piping materialis required. For this evaluation, the piping test results reported in Reference 3 for an A155 CK70 28" pipe with a 0.930" wall at 550cF, Pipe ID# DP2-F26, Experiment # 4111-2 were used. The PICEP program requires a Ramberg-Osgood relation,  ;

presented below, to represent the stress strain properties.

--= + a- Ramberg-Osgood Stress-Strain Relation E

o Uo (U of Where e,is a reference strain associated with the o,, reference stress, and a and n are the '

stress-strain curve fitting coefficient and exponent respectively. The values used in this calculation are presented in Section 4.0.

3.0 Assumptions

The stress-strain properties of the 28", A155 CK70, test results from Refamnce 3 are assumed to represent the LaSalle Station MS piping because these ato realistic stress-strain properties for the installed piping. Using Code minimum stress-strain properties may over predict the crack opening displacement, thus overpredicting the leak rate. Using realistic stress-strain properties will reaEstically predict the strain deformation during crack opening and provide a conservative estimate of the crack leak rate.

4.0 Design inputs:

4.1 Pinina aeometrical dnta-t := 0.967 in Nominal pipe wall thickness, Attachment A.

D := 26 in Pipe outside diameter, Attachment A.

R := R = 12.516 in Mean pipe radius 2

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A := n- 2 A = 76.048 in Pipe cross-sectional area 4

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Z := *' 3 Z = 458.912 in Section Modulus 32 D Defining the units for this calculation kip s 1000 Ibf ksi = 1000 psi REVISION NO. O

UUMMUNWEALTH EDISON COMPANY CALCULATION NO.: NED P-MSD-086 PAGE NO. 6 4.2 Material Pronerties:

The following material properties used for the critical crack size calculations were obtained from Reference 5 for the MS line material:

S m := 19.6 ksi material stress limit at operating temperature, 550'F o g := 2.4 S m G f = 47.04 ksi material flow stress at operating temperature For the leak rate calculations, the following Ramberg-Osgood Relation coefficient and strain hardening exponent are used.

cx := 1.107 n := 5.55 The reference stress and strain values for this evaluation are:

o o := 33.5 ksi e g := 0.00129 These parameters are taken from References 3 and 8.

Woeratino Loads:

P d := 1025.0 psi Operating Pressure, Attachment A.

10 12 5

P p := P d x- --t P p = 4.66310 lbf Axial force due to pressure j

P := P p t 0.0 lbf total axial load on pipe, including pressure from piping analysis results provided in Attachment A.

M := 3.64103 in kip applied moment at the maximum bending moment location from piping analysis results provided in Attachment A.

4.4 Aeolied Membrane and Bendino Stress Values:

P P

m ;* A 3

P m = 6.131 10 psi primary membrane stress in the pipe from piping analysis 3

P psi primary bending stress in the pipe b := Z P b = 7.93210 REVISION NO. 0

ee -

CALCULATION NO,: NED.P-MSD-086 PAGE NO. 7 5.0

References:

1

1. ASME Boller & Pressure Vessel Code,Section XI,1989 Edition.

2. PICEP. Pipe Crack Evaluation Program, Revision , EPRI NP-3596-SR, D0cember 1987.

3. " Degraded Piping Program - Phase ll", NUREG/CR-4082 Volume 8, March 1989

4. " Degraded Piping Program - Phase 11", NUREG/CR-4082 Volume 7, March 1989

5. ASME Boiler & Pressum Vessel Code, Section Ill, Appendix 1,1977 Edition.

6. " Ductile Fracture Hantook", Volume 2, EPRI , October,1990

7. "LaSalle Leak Detection Temperature Measurement", GENE Report DRF-E31-00029-3C, November 1995

8. USNRC PlFRAC Database Version 3.0, Battelle, N. Ghadiali.

6.0 Calculations

6.1 Circumferential Flaw Critical Crack Size-Allowable plastic collapse bending stress is calculated using the following relationship:

For a throughwall flawa := t and =1 t

Critical flaw half length is 1 := 16.6 in 0 := 1 0 = 1.326 rad is the crack half angle per Figure 1 R

1 la y (P m) p := 2 n- n- = 0.703 0+ = 2.029 sum is less than n, (t /

af). therefore this formulation is acceptable.

2'(U),I f

2 sin (p)- a sin (0) i P ab :=

x ( t /

The allowable bending stress of P ab = 9.663 ksi is greater than the applied bending bending stress of P b = 7.932 ksi The total critical crack length is 21 = 33.2 in REVISION NO. O

1 CALCULATION NO.: NED-P-MSD-086 PAGE NO. 8 i

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Figure 1 Through Wall Circumferential Flaw Model l

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r

- - _ _ _ _ -y- _ _ _ _ _ - r )

( \

P.1/2 - -

- P,a/2 M.0/2 M.0/2

- - - 1 a

+

. REVISION NO. 0 t

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wannunwcAu r1 cumvN UUMPANY CALCULATION NO,: NED-P-MSD 486 PAGE NO. 9 8.2 Circumferential Crack Leak Rate Calculations-The leak rate calculations, performed using the PICEP program, are documented in Attachment B. The following results are taken from Attachment B are plotted below.

1.8462 ' O.0806 3.6924 0.5322 l

5.5386 1.5923 7.3847 3.4748 9.2309 6.4096 11.0771 10.6622 12.9233 16.5385 14.7695 24.3743 l 16.6157 34.5146 Cracklength := 18.4618 LeakRate := 47.2868  ;

20.3080 63.0126 l

22.1542 81.9598 l 24.0004 104.2811 25.8466 129.9586 27.6928 158.6531 29.5389 189.2890 31.3851 219.0546 33.2313 1312.3144 35.0775 1908.5948 i := 1.18 l

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l REVISION NO. 0 l

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uvuununvvcALIt1 t:UI5UN COMPANY CALCULATION NO.: NED-P-MSD-086 PAGE NO.10 1

Figure 2 Circumferential Crack Leak Rate 2000 , , , , , , ,

l 1500 -

gLeakRateg g -+- 1000 -

500 -

i O

O 5 10 15 20 25 30 35 40 CrackLength; (in)

The leak rate prior to a crack length of approximately 32"is choked. Once the flaw length reaches this limit and the flow through the crack in no longer choked, the leak rate increases significantly.

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Using a cubic spline interpolation method, the leak rate for the critical crack length of x := 33.2 inches is:

cubic := cspline(Cracklength ,LeakRate)

Interpolated _ Leak _ Rate := interp(cubic , CrackLength ,LeakRate ,x)

Interpolated _ Leak _ Rate = 1291.31 gpm 7.0 Summary and

Conclusions:

The critical crack length for a circumferential throughwall flaw in the MS line in the steam tunnel has been calculated to be 33.2" long. The leak rate for a circumferentail flaw of this length is approximately 1290 gpm.

msleak.med REVISION NO. O

6725WUJtren* . Hrn-P. p sp-o gf RFvissen No. O \

fM6rMo. A I  !

Attachment A:  !

I The attached tables provide the axial forces and bending moments at all the analytical model node points of the main steam piping in the steam tunnel. The forces and moments are based on the i l

Unit 2 stress analyses because the Unit 1 stress reports refer to '

the Unit 2 analyses. The following references to Sargent & Lundy piping stress reports were used to obtain this information.

Subsystem Name Stress Report No.

1MS05 EMD-065681, Rev 05 1MS06 EMD-065683, Rev 05 1MS07 EMD-065684, Rev 05 l 1MS08 EMD-065682, Rev 05  !

2MS05 EMD-065380, Rev 06 2MS06 EMD-065381, Rev 06 l

2MS07 EMD-065382, Rev 06 '

2MS08 EMD-065383, Rev 06

fA & d' H3. A t-Subsystem Bees Operating Presase1025 pai g

Operating Temperakse 550

• F.

j  %@W PipeWatTNckasus 0.957" Pipe Sedion Modulus,Z= 458.912 i

j Element Node Load t

F4 Ms Mc Stress Total Stress Number Number Type (Lbs) (Ft-Lbul i Ft-Lbs) (psi) (psi)

WT -354.00 1865.00 29735.00 779.06

1366.51 5 TH 8445.00 3436.00 1279.00 95.87

{ FC 9884.00 19716.00 14717.00 643.34 l 1 TR 5621.00 2726.00 1190.00 77.78 WT 332.00 1942.00 36242.00 949.04 2061.83 l 15 TH -8445.00 3265.00 17529.00 466.25 j FC 9884.00 22699.00 19844.00 788.39

! TR 5621.00 3017.00 1490.00 87.99 l WT -147.00 -4883.00 2718.00 146.13 1793.17 j 23 TH 8441.00 -8422.00 -32044.00 866.37

} FC 5784.00 42612.00 8987.00 1138.76 5 TR 744.00 6325.00 M .00 191.16 li WT 143.00 5513.00 -14634.00 408.92 1890.25 l 25 TH -8441.00 9531.00 35165.00 952.70

) FC 5784.00 49150.00 10971.00 1316.84 3 TR 744.00 7041.00 4120.00 213.32 i WT -287.00 -5769.00 13070.00 373.58 1840.65

{ 27 TH 8788.00 -9936.00 -22284.00 638.00

FC 5684.00 51896.00 8104.00 1373.46

! 6 TR 743.00 7345.00 2860.00 204.27

! WT 282.00 5128.00 -9219.00 275.85 1805.37 30 TH -8788.00 11795.00 -16092.00

! 521.72 FC 5684.00 44170.00 6098.00 1165.95 i TR 743.00 4925.00 1686.00 136.12

WT -265.00 -3416.00 2065.00 104.38 4156.35

32 TH 8730.00 -16812.00 118510.00 3129.92 FC 5560.00 26712.00 28042.00 1012.70 9 TR 742.00 6783.00 13265.00 389.58

WT 261.00 2883.00 -759.00 77.96 5128.19

] 33 TH -8730.00 18361.00 150513.00 3964.91

} FC 5560.00 23449.00 35555.00 1113.71

} TR 742.00 8096.00 16884.00 489.63

WT -270.00 14.00 2442.00 63.86 5961.18 g 35A TH 8558.00 176994.00 19614.00 4656.51 j FC 5415.00 41785.00 22102.00 1236.06

{ 11 TR 776.00 19888.00 9179.00 572.76 WT 140.00 2554.00 -839.00 70.30 5167.54 35B TH -7957.00 -175045.00 22134.00 4613.66 FC 8862.00 17314 00 21324.00 718.25 TR 8421.00 9942.00 10080.00 370.22 Page 1 of 3

PA GE N0. A 3 Subsystem 2M885 Opersang Preeuwe 1025 psi operating Temperatuse 560

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Pipe CD 2r Pipe WaN Thickness S.967" Pipe Sedan Moduks, Z= 468.912 Element Node Load F4 Ms Mc Stress Total Stress Number Number Type (Lbs) (Ft-Lbs) (Ft-Lbs) (ps0 (ps0 WT 508.00 -1978.00 -138.00 51.85 4574.49 37 TH 7956.00 155687.00 -19299.00 4102.19 FC 8040.00 14462.00 14 17576.00 595.17 TR 636.00 8770.00 7708.00 305.31 WT -2917.00 -162.00 3765.00 98.54 3537.98 40 TH -7956.00 -63758.00 8765.00 2202.13 FC 8040.00 42462.00 33948.00 1421.56 I TR 636.00 6175.00 6677.00 237.81 W7 -13003.00 2483.00 -7700.00 211.56 2309.66 42 TH 7957.00 5744.00 2659.00 165.51 FC 6270.00 60250.00 48425.00 2021.26 16 TR 467.00  !

7401.00 13193.00 395.56 WT 10170.00 -5001.00 11968.00 339.17 3645.57 43 TH -7957.00 78879.00 -15052.00 2099.81 FC 6270.00 54464.00 47241.00 1885.26 TR 467.00 8344.00 15906.00 469.68 WT 6087.00 -18882.00 6800.00 524.78 5911.16 45A TH 7957.00 165842.00 117950.00 5321.51 FC 4931.00 30728.00 13579.00 18 878.46 TR 316.00 3355.00 5798.00  ;

175.16 WT 479.00 3648.00 636.00 96.83 4912.34 45B TH 6890.00 -162389.00 7408.00 4250.69 FC 5530.00 27033.00 17716.00 845.15 TR 903.00 2159.00 7661.00 208.13 WT -481.00 -258.00 7869.00 205.88 3938.52 50 TH 6803.00 6021.00 138325.00 3620.46 FC 6721.00 15836.00 18456.00 20 635.91 TR 2638.00 3656.00 1824.00 106.84 WT 481.00 -212.00 16946.00 443.15 3980.04 60A TH -6803.00 -26742.00 106599.00 2873.81 FC 6721.00 30158.00 16760.00 902.19 TR 2638.00 10221.00 1713.00 270.99 WT -252.00 951.00 20340.00 532.45 5437.76 608 TH 8470.00 31874.00 -153794.00 4106.99 FC 7409.00 39060.00 19789.00 22 1144.97 TR 2214.00 15795.00 1440.00 414.73 WT 252.00 -5944.00 12541.00 362.90 4798.34 62 TH -8470.00 17387.00 60780.00 1653.08 FC 7409.00 104086.00 46258.00 2978.40 TR 2214.00 50692.00 3010.00 1327.87 Page 2 of 3

884f Wd. :(4 i

Subsystem 2MS05 '

Operating Pressure 1025 psi Operating Temperature 550

• F.

Pipe OD 26" Pipe WallThickness 0.967" Pipe Sedion Modulus, Z= 458.912 Element Node Load F4 Me Mc Stress Total Stress Number Number Type 6.bs) (Ft-Lbs) (Ft-Lbs) (psi) (psi)

WT -252.00 5421.00 -4028.00 176.60 4111.85 63 TH M72.00 15858.00 40904.00 1147.16 FC M11.00 94922.00 47814.00 2779.21 23 TR 12766.00 46341.00 3157.00 1214.57 WT 252.00 -3627.00 -38645.00 1014.96 3691.16 65 TH -8472.00 -10609.00 -27296.00 765.77 FC M11.00 66857.00 43906.00 2091.51 TR 12766.00 32430.00 2817.00 851.20 WT -252.00 1218.00 -458.00 34.03 3671.33 66 TH M72.00 3563.00 118838.00 3108.87 FC 9722.00 31748.00 16422.00 934.66 I A24 TR 12883.00 12857.00 1457.00 338.35 WT 252.00 1153.00 2267.00 66.51 6445.24 68 TH 8472.00 3372.00 -208942.00 5464.29 FC 9722.00 21376.00 38119.00 1142.79 TR 12863.00 10321.00 2204.00 275.97 WT 252.00 2931.00 -20258.00 535.24 10033.74 75 TH 8472.00 8573.00 -276521.00 7234.17 FC 10075.00 82987.00 78220.00 2626.07 25 TR 12894.00 28515.00 4813.00 756.18 WT 0.00 0.00 TH 0.00 FC 0.00 TR 0.00 Notes

• 1 i

WT = Weight candition TH = Thermal candition I i

FC = Faulted candition TR = Transient condition Stress = 12 x Sqrt(Me2 +Mc')/Z Total Stress = 12*SQRT((ABS (Mewr+Mers)+SQRT(Meec'+Mern'))'+(ABS (Mcwr+MerH l SQRT(Merc'+Mern'))2)/Z i

)

Page 3 of 3

- . _ .. -.- -.- . - - - - .~

gmyy m,g ~

- Mor+4.AS {

• a W 2MB06 l OperatingPleasure 1025 pai  !

Operating Tasuperature 550

• F.

Pts 00 25" PipsWa81hicimens 0.967" Pipe Sec6onIAndulus, Z= 458.912 Element Node Load F4 Stress i

Me Mc Total Stress 1 Number Number Type (Lbs) fMDs) (Ft-Lbs) (psi) (psi)

WT -383.00 uni.00 31513.00 825.47 1562.01 5 TH 8529.00 3811.00 3908.00 135.64 FC 9618.00 3 305.00 13829.00 825.87 1 TR 5701.00 1465.00 1335.00 51.83 WT 364.00 2289.00 38362.00 1004.87 2227.99 15 TH -8529.00 4357.00 16970.00 458.14  !

FC 9618.00 5 323.00 18726.00 1045.42 TR 5701.00 1791.00 1720.00 64.93 I WT -213.00 -5120.00 4108.00 171.65 2231.89 23 TH 8525.00 4 82.00 -31344.00 857.82 FC 5734.00 E2333.00 8326.00 1644.41 5 TR 458.00 3438.00 3689.00 131.86 '

WT 209.00 5806.00 -16062.00 445.63 2388.15 ,

25 TH -8525.00 18764.00 34263.00 939.11 I FC 5734.00 N731.00 10962.00 1845.78  :

TR 458.00 3786.00 4108.00 146.08 WT 323.00 -4780.00 11290.00 320.59 2141.79 26 TH 8759.00 -12869.00 17184.00 561.38  ;

FC 5644.00 58332.00 6278.00 1482.13 i C6 TR 457.00 2004.00 1763.00 88.83 WT 313.00 2855.00 5146.00 155.17 4283.58 32 TH -8759.00 17030.00 -120050.00 3170.59 FC 5644.00 30702.00 27433.00 1076.61 TR 457.00 1838.00 13473.00 355.57 WT 332.00 3873.00 1916.00 108.33 6055.37 35A TH 8613.00 178590.00 19400.00 4697.39

~

FC 5485.00 48867.00 20117.00 1191.08 8 TR 482.00 3127.00 2077.00 529.09 WT 1792.00 4058.00 -1431.00 112.52 5029.16 35B TH -8008.00 -176621.00 18664.00 4644.14 FC 9227.00 15983.00 11079.00 508.53 TR 8603.00 7487.00 1757.00 201.09 WT -815.00 -2788.00 -466.00 73.91 4211.89 37 TH 8008.00 141100.00 14339.00 3708.60 FC 8415.00 17486.00 21415.00 722.94 89 TR 679.00 7017.00 1202.00 186.16 WT -1256.00 766.00 3487.00 93.35 3640.46 40 TH -8008.00 84525.00 7452.00 2218.80 FC 8415.00 41690.00 48139.00 1665.21 .

TR 679.00 8883.00 3242.00 198.95 t

! Page 1 of 3

l REvaseH No. o

$p perNo.AS Subsystem 2MS06 Operating Pressure 1025 psi Operating Temperature 550

• F.

Pipe 00 26" PipeWaRThdness 0.967" Pipe Set: tion Modulus, Z= 458.912 Element Node Load F4 Me Mc Stress Total Stress Number Number Type (Lbs) FM.bs) (psi)

(Ft-Lbs) (psi)

WT -13469.00 2050.00 -7695.00 208.23 2554.82 42 TH 8007.00 5741.00 2139.00 16020 FC 7223.00 60151.00 64145.00 2299.42 C10 TR 578.00 6424.00 4794.00 209.60 WT 12824.00 -2746.00 8736.00 239.46 2620.40 B42 TH -8007.00 13753.00 -4512.00 378.48 FC 7223.00 61354.00 64565.00 2329.00 TR 578.00 6427.00 4896.00 211.27 WT -10632.00 5113.00 -12272.00 347.64 3710.70 43 TH 8007.00 -79984.00 12574.00 2117.17 FC 6201.00 54929.00 56208.00 2055.06 12 TR 488.00 5589.00 4733.00 191.51 WT 6566.00 -9506.00 18835.00 551.68 5779.11 45A TH -8007.00 202874.00 27534.00 5353.55 FC 6201.00 24809.00 26101.00 941.63 TR 488.00 1759.00 2003.00 69.80 WT -539.00 -74.00 3436.00 89.87 4846.11 458 TH 6782.00 -5686.00 -158927.00 4158.41 FC 5863 00 8756.00 29208.00 797.33 14 TR 2559.00 1414.00 1725.00 58.32 WT $39.00 -133.00 5952.00 155.68 4481.34 50 TH -6782.00 4590.00 143429.00 3752.42 FC 5863.00 10868.00 21249.00 624.0 I TR 2559.00 1203.00 1158.00 43.66 WT -539.00 511.00 -15617.00 408.58 4106.58 60A TH 6782.00 23402.00 -115050.00 3070.03 FC 6570.00 27952.00 17441.00 861.52 16 TR 2717.00 3136.00 1513.00 91.05 WT 305.00 -1269.00 20193.00 529.06 5589.55 608 TH -8551.00 -29151.00 162821.00 4325.27 FC 6618.00 39515.00 18730.00 1143.47 TR 1915.00 5767.00 1997.00 159.59 WT -305.00 2879.00 -23741.00 625.35 5382.89 61 TH 8554.00 25492.00 -134567.00 3581.35 FC 7214.00 54739.00 29417.00 1624.96 A17 TR 12860.00 10864.00 2805.00 293.40 WT 305.00 -1960.00 5388.00 149.92 3284.29 62 TH -8554.00 17351.00 46498.00 1297.76 FC 7214.00 47464.00 53840.00 1876.82 TR 12860.00 8633.00 4154.00 250.52 Page 2 of 3

\ usc1veso e e @& . O fM G E No. A7 8esbsystem 21306 OperadnD Pressure 1025 psi operating Temporalme 550

• F.

Pipe O D 2 r Pipe Wan Thickness 0.967" Pipe Section Modulus,Z= 458.912

. Element Node Load F4 Me Mc Stress Total Stress Number Number Type (Lbs) (Ft-Lbs) (ps0 (Ft-Lbs) (ps0 WT -305.00 1207.00 35073.00 917.66 3286.83 65 TH 8554.00 10689.00 25559.00 724.43

~ FC 8214.00 42392.00 52383.00 1762.10 19 TR 12950.00 6492.00 3492.00 192.76 WT 305.00 -246.00 1859.00 49.03 3605.48 68 TH -8554.00 2177.00 -117632.00 3076.46 FC 8214.00 21344.00 19974.00 764.39 TR 12950.00 2324.00 1420.00 71.22 WT -305.00 -590.00 -3581.00 94.90 6003.98 69 TH 8555.00 -5224.00 197695.00 5171.29 FC 8903.00 17142.00 34219.00 1000.78 21 TR 13026.00 2792.00 2641.00 100.49 WT 305.00 1426.00 -22968.00 601.74 10385.47 75 TH -8555.00 12626.00 -277759.00 7270.57 FC 8903.00 56869.00 89750.00 2778.32 TR 13026.00 8324.00 5954.00 267.61 Notes:

WT = Weight condition TH = Thermal condition FC = Faulted condition l TR = Transient condition Stress = 12 x Sqrt(Me' +Mc')/Z 2

Total Stress2 = 12*SQRT((ABS (Mewr+Mem)+SQRT(Merc'+ Mein ))2+(ABS (Mcwr+Mers)+

SQRT(Mcrc +MCTR)))/2 l

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.___ _ _ m._ __ _ _ _ _ _ _ . . _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _

t** Q E m . As subsystem asso7 Operating Pmasure 1025 pai Operating Temperature 550

• F.

Pipe OD 26" Pipe WaN Thickness 0.967" Pipe Section Modulus, Z= 458.912 Member Node Load F4 Me Stress Mc Total Stress Number Number Type (Lbs) (Ft-Lbs) (psi) (psi)

(Ft-Ltm) 5 WT -176.00 -17.00 31176.00 815.22 4059.65 TH 10738.00 -132287.00 6369.00 3463.15 FC 10782.00 14211.00 13746.00 517.00 1 TR 5720.00 61.00 1237.00 32.39 15 WT 159.00 7.00 37907.00 991.22 2742.33 TH 10738.00 54495.00 19020.00 1509.28 FC 10782.00 18183.00 18606.00 680.27

) TR 5720.00 38.00 1589.00 41.56 23 WT 12.00 0.00 5439.00 142.22 1167.08 TH 10721.00 -1150.00 -36409.00 952.53 FC 7095.00 17508.00 8914.00 513.74 5 TR 469.00 38.00 3497.00 91.45 j 25 WT -16.00 -1.00 -17533.00 458.47 1244.31

] TH -10721.00 -9609.00 39978.00 1075.15 FC 7095.00 23152.00 11427.00 675.12 TR 469.00 53.00 3877.00 101.39 27 IVT -145.00 1.00 10767.00 281.54 1076.37 TH 9568.00 9156.00 14208.00 441.94 i FC 6763.00 17461.00 6336.00 485.71 i 6 TR 459.00 44.00 1564.00 40.91 l 32 WT 132.00 -1.00 429.00 16.45 4115.47 TH -9568.00 -8253.00 -122582.00 3212.63 l FC 6763.00 18916.00 29281.00 911.54 TR 459.00 23.00 12438.00 325.19 l

l 35A WT -103.00 -3233.00 -1.00 84.54 6117.31 TH 9350.00 186563.00 -7720.00 4882.57 FC 6556.00 44238.00 26587.00 1349.61 8 TR 517.00 18841.00 10.00 492.67 i

358 WT -1847.00 -122.00 1.00 3.19 5386.42 TH -8606.00 -184134.00 6141.00 4817.56

, FC 8644.00 14065.00 41701.00 1150.78

! TR 8435.00 7839.00 7.00 204.98 38 WT 2152.00 239.00 1.00 6.25 5026.61 TH 8605.00 174163.00 -5898.00 4556.76 FC 7970.00 10293.00 37506.00 1017.00 B10 TR 604.00 7717.00 7.00 201.79 40 WT -4870.00 -1281.00 0.00 33.50 3687.13 TH -8605.00 -85283.00 3728.00 2232.18 I

FC 7970.00 53241.00 10312.00 1418.06 TR 604.00 7313.00 22.00 191.23 i

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fA6F we . y subsyssum 2sser Operating Prasmse 1825 psi operating Tempersture 550

• F. I Pipe 0 0 28" Pipe WaB TNckness 0.987*

Pipe Section Modulus, Zu 458.912 Member Node Load Fa Ms Mc 8 tress Number Number Type Total Stress II h) (R4.bs) (F1-Lbs) (psi) (psi) -

41 WT -11019.00 2290.00 0.00 59.88 TH 2177.73 8804.00 -804.00 -1627.00 47.46 FC 6344.00 76020.00 28031.00 2118.66 11 TR 408.00 6945.00 29.00 181.61 42 WT 8191.00 -3374.00 0.00 88.23 4215.70 TH -8604.00 93281.00 631.00 2439.24 FC 6344.00 65790.00 40604.00 2021.59 TR 408.00 4592.00 24.00 120.08 45A WT -4115.00 -4937.00 0.00 129.10 6566.46 TH 8804.00 226633.00 -3886.00 5927.05 FC 5140.00 28008.00 22318.00 936.46 13 TR 285.00 1573.00 3.00 41.13 458 WT 108.00 -5097.00 -1.00 133.28 6926.40 TH -9248.00 228725.00 -6181.00 5983.07 FC 6162.00 28882.00 27064.00 1034.99 TR 511.00 2220.00 6.00 58.05 50 WT -108.00 1.00 -9179.00 240.02 6538.77 TH 9251.00 5802.00 -214296.00 5605.64 FC 6640.00 19121.00 25256.00 15 828.33 TR 10915.00 6.00 2061.00 53.89 57 WT 108.00 -1.00 17709.00 463.07 5158.00 l TH -9251.00 -3996.00 145468.00 3805.25 FC 6640.00 29286.00 31190.00 1118.76 TR 10915.00 10.00 1943.00 50.81 58 WT -108.00 0.00 -1730.00 45.24 4067.58 TH 9251.00 1647.00 -55938.00 1463.35 FC 8159.00 105660.00 54893.00 22 5113.50 TR 10980.00 11.00 2478.00 64.80 60 WT 108.00 0.00 -34549.00 903.42 5374.05 TH -9251.00 293.00 -18001.00 470.77 FC 8159.00 173689.00 56801.00 4778.45 TR 10980.00 12.00 2314.00 60.51 63 WT -108.00 0.00 -1169.00 30.57 4256.54 TH 9254.00 -161.00 99735.00 2607.95 FC 9351.00 97315.00 31763.00 26 2676.79 TR 11021.00 14.00 1607.00 42.02 65 WT 108.00 0.00 5419.00 141.70 4147.85 TH -9254.00 134.00 -116856.00 )

3055.65 FC 9351.00 81150.00 24742.00 2218.41 TR 11021.00 15.00 1353.00 35.38 Page 2 of 3 )

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- - -~~

(19V4soH NO . O pk 5 g po. A so l

Subsystem 2M807 Operating Pressure 1025 psi .

, Operating Temperature 550

• F. l Pipe O D 26" Pipe WaN Thickness 0.967" Pipe Section Modulus, Z= 458.912 Member Node Load FA Me Me Stress Total Stress Number Number Type (Lbs) (Ft-Lbs) j (Ft-Lbs) gal) (psi) 67 WT -108.00 0 00 -8034.00

'. 210.08 6480.34 i

TH 9253.00 25.00 215882.00 5645.06 FC 10175.00 15052.00 39487.00 1105.01 30 TR 11049.00 6.00 1578.00 41.26 75 WT 108.00 0.00 -14078.00 368.12 10519.14

] TH -9253.00 -143.00 289012.00 7557.32 4

FC 10175.00 86796.00 89603.00 l 3282.03 TR 11049.00 18.00 3792.00 99.16 d

, Notes:

WT = Weight condition TH = Thermal condition i

i FC = Faulted condition 4

TR = Transient condition Stress = 12 x Sqrt(Me' +Mc8)/Z

• Total Stress = 12*SQRT((ABS (Mewr+Mem)+SQRT(Merc'+Mern'))2+(ABS (Mcwr+M SQRT(Merc'+Mcm'))')/Z

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yucqscow yo , o fk Gr Asa . A sj Subsystem 2M808 Operaeng Pressure 1025 pel Operadng Temperature 550

• F.

Pipe CD 20" PipeWa5 Thickness 0.967" Pipe Secdon Modulus,Z= 458.912 Element Node Load F4 Me Mc 8 tress Total Stress Number Number Type (Lbs) F18 M (R-l.bs) (psi) (psi) 5 WT -212.00 333.00 IE73.00 786.42 1837.51 TH 8461.00 -35734.00 -1572.00

' 935.31 FC 9662.00 19697.00 14020.00 646.13 1 TR 5648.00 1981.00 1430.00 83.89 15 WT 190.00 469.00 30086.00 958.85 2180.08 TH -8461.00 20776.00 13074.00 654.72 FC 9662.00 22570.00 20139.00 790.97 TR 5646.00 2295.00 1790.00 76.11 23 WT -5.00 -1089.00 1704.00 52.88 1631.73 TH 8457.00 -9198.00 -23541.00 060.89 FC 5731.00 43338.00 8738.00 1156.04 5 TR 749.00 4342.00 4227.00 158.46 25 WT 1.00 1221.03 -13494.00 354.29 1643.49 TH -8457.00 6722.00 25601.00 692.13 FC 5731.00 49900.00 10905.00 1335.S2 TR 749.00 4956.00 4747.00 179.45 27 WT -119.00 -1275.00 12712.00 334.07 1581.39 TH 8648.00 -5682.00 -12934.00 369.41 FC 5348.00 52652.00 7955.00 1392.41 6 TR 769.00 5216.00 2524.00 151.52 30 WT 114.00 1123.00 -10706.00 281.49 1874.18 TH -8648.00 8120.00 -26440.00 723.24 FC 5348.00 44678.00 8065.00 1191.56 TR 769.00 3822.00 4167.00 147.85 32 WT -99.00 -715.00 8471.00 222.29 4981.75 TH 8582.00 -14699.00 131519.00 3460.48 FC 5227.00 27419.00 39640.00 1264.65 9 TR 769.00 5742.00 21998.00 594.49 33 WT 96.00 588.00 -8703.00 228.09 6120.23 TH 8582.00 16730.00 -164354.00 4319.87 FC 5227.00 24702.00 49925.00 1456.54 TR 769.00 6676.00 27568.00 741.71 35A WT -137.00 5240.00 483.00 137.60 5957.69 TH 8397.00 172350.00 18375.00 4532.29 FC 5075.00 41832.00 24053.00 1261.79 11 TR 808.00 19014.00 7464.00 534.13 35B WT 1756.00 3015.00 -252.00 79.11 5188.87 TH -7879.00 -170671.00 28550.00 4524.85 FC 10623.00 21234.00 24235.00 842.55 TR 8729.00 9647.00 8221.00 331.43 Page 1 of 3 l

AsTmww pe. O \

W GV W0 h t.1 l

subsysema stese8 Opeuting Pressure 1025pel Operudng Temperature M

• F.  !

Pipe CD 2r PipsWallThicimess OLS67" Pipe Sedion Modulus,Z= m.912 Element Node Load F4 Ms Mc Stress Total Stress Number Number Type (Lbs) (FtJ W (R-lM (psi) (psi) 37 WT -1108.00 -2788.00 20.00 72.90 4583.95 TH 7879.00 151679.00 -24832.00 4019.03 FC 9369.00 18J62.00 19898.00 707.96 <

14 TR 693.00 8788.00 8276.00 282.38 40 WT -1300.00 1942.00 844.00 55.37 3336.20 TH 1

-7879.00 -81110.00 11018.00 2140.41 FC 9369.00 39648.00 32633.00 1342.75 i TR 693.00 7125.00 4660.00 222.62 42 WT -9964.00 -1025.00 -1780.00 53.71 2090.85 TH 7878.00 4571.fl0 3965.00 158.23 FC 6681.00 56414.00 49020.00 1954.26 t 16 TR 455.00 8655.00 9628.00 338.53 43 WT 7130.00 31.00 2797.00 73.14 3894.37 TH -7878.00 78452.00 20217.00 2118.45 FC 6681.00 52818.00 50387.00 1908.79 TR 455.00 8375.00 11225.00 366.22 45A WT -3047.00 4004.00 2021.00 117.28 6201.73 TH 7878.00 170931.00 109219.00 5304.16 FC 4764.00 32972.00 15462.00 952.27 '

18 TR 225.00 2461.00 4998.00 145.68 458 WT 142.00 -2445.00 145.00 64.05 5261.80 TH -7020.00 -168142.00 8646.00 4402.52 FC 5461.00 28408.00 19518.00 901.27 TR 702.00 2306.00 6127.00 171.19 46 WT -142.00 -143.00 4416.00 115.53 4857.31 TH 7030.00 -2008.00 -157070.00 4107.53 FC 5992.00 15628.00 23274.00 733.06 A19 TR 2571.00 4309.00 2013.00 124.36 47 WT 142.00 141.00 5845.00 152.88 4487.78 TH -7030.00 -4737.00 145823.00 3815.11 FC 5992.00 13795.00 18848.00 610.76 TR 2571.00 3030.00 1790.00 92.02 60A WT -142.00 -131.00 -5309.00 138.87 3737.17 TH 7025.00 34224.00 -96667.00 2681.47 FC 7167.00 37282.00 20887.00 1117.45 21 TR 2663.00 10793.00 1817.00 285.37 60B WT 99.00 -8.00 2081.00 54.42

_ 4897.67 TH -8309.00 -38391.00 138335.00 3754.01 FC 6682.00 48070.00 24429.00 1409.98 TR 2159.00 15193.00 1710.00 399.79 Page 2 of 3

WD8/ad M0.o FA c c- Wo. Ass /pWnL.

• 8*.ra====

OperaHng Pressee 1025 pel Operating Tempershse 550

• F.

Pipe C D 2 r Pipe Wall Thickasus 0.967"  !

Pipe Sodion Modulus,Z= 458.912 l 1

Element Node t.oad F4 Ms Stress Me Total Stress Number Number Type l (t.bs) (Pt i W (Ft-l.bs) (psi) (psi) 61 WT -99.00 l 434.00 7514.00 198.81 4391.03 I TH 8309.00 31565.00 -105297.00 2874.44 FC 7163.00 66898.00 34967.00 1973.85 A22 TR 12807.00 23131.00 1765.00 606.61 62 WT 99.00 -1107.00 -1619.00 51.29 4416.69 l TH 8309.00 -20780.00 53120.00 1491.52 FC 7163.00 110193.00 45629.00 3118.68 TR l 12807.00 37086.00 2014.00 971.18 l 63 WT 99.00 1034.00 3349.00 91.65 3985.83 TH 8313.00 19414.00 -38668.00 1131.41 FC 7923.00 102752.00 46121.00 2945.09 23 TR 12857.00 34442.00 2097.00 902.28 65 WT 99.00 -704.00 -23204.00 607.04 3326.19 TH -8313.00 13211.00 -26951.00 784.85 FC 7923.00 72089.00 39935.00 2154.96 TR 12857.00 23494.00 2280.00 617.23 66 WT -99.00 241.00 -9931.00 259.76 3328.31  !

TH 8314.00 4525.00 118836.00 3109.67 l FC 9170.00 34415.00 11661.00 950.17 A24 TR 12953.00 9922.00 1320.00 261.73 68 WT 99.00 208.00 5192.00 135.87 6418.30 TH -8314.00 3912.00 -208091.00 5442.29 FC 9170.00 21694.00 41056.00 1214.22 TR 12953.00 6999.00 1555.00 187.48 75 WT 99.00 546.00 -22243.00 581.80 10060.94 25 TH -8314.00 10240.00 -275034.00 7196.79 FC 9538.00 65429.00 79134.00 2684.95 TR 12974.00 20113.00 3955.00 536.00 Notes:

WT = Weight condalen TH = Thermal condson FC = Faulted condison TR = Transient conellon Stress = 12 x Sqrt(Mer +Mc')/Z

1. Total Stresh 412TiORT((ABS (Mewr+Mem)+SQRT(Mere'+Mem'))'+(ABS (Mcwr+Mem)+

SQRT(Merc'+Mem'))')/Z I

Page 3 of 3

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RESEARCH PROGRAMS THE SUBJECT COMPUTER PROGRAM HAS BEEN CLASSIFIED BY EPRI AS A RESEARCH PROGRAM. AS SUCH, IT HAS NOT BEEN DEVELOPED AND TESTED TO THE EXTENT THAT A PRODUCTION PROGRAM WOULD BE, AND UNFORSEEN RESULTS MAY OCCUR WHEN RUNNING THE PROGRAM. EPRI DOES NOT MAKE ANY WARRANTY OR REPRESENTATION WHATSOEVER, EXPRESS OR IMPLIED, INCLUDING ANY WARRANTY OF MERCHANTABILITY OR FITNESS OF ANY PURPOSE WITH RESPECT TO THE PROGRAM; NOR DOES EPRI ASSUME ANY LIABILITY 1GIATSOEVER WITH RESPECT TO ANY USE OF THE PROGRAM OR I ANY PORTION THEREOF OR WITH RESPECT 'ZO ANY DAMAGES WHICH MAY l RESULT FROM SUCH USE. i l

PICEP VERSION 06/30/87 '

PIPE CRACK EVALUATION PROGRAM .

EPRI REPORT NP-3569-SR REV.1 BY D.M. NORRIS AND V.K. CHEXAL I UNITS BRITISH, LENGTH-INCHES, MASS-LBM, TEMP-DEGF NEW-STYLE PICEP INPUT AS PER EPRI REPORT NP-3569-REV.1 l

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kiivticy in 0 PRGr No. 8 L ECHO PRINT OF INPITF DATA LaSalle Station MS Line Leak Rate for Circumferential Flaw HODE IPLAS ISOL 0 2 2 DO THICK 26.0000 .9670 IFDIR IFAREA NDIV COD AF 0 1 20 .0000E+00 .0000E+00 YOUNG S0 EO ALPHA FACN FSR Z SF

.260D+08 .335D+05 .000D+00 .111D+01 .555D+01 .562D+05 .000D+00

.000D+00 IN PRES TO PB TRACT BMOM PMSTR PBSTR 4 1039.7 1.00 14.7 0. 3640000. O.

O.

EK AR N90 N45 CD FFRED

.20000D-03 1.000 0 0 .000 .0000 END OF ECHO PRINT CRITICAL CRACK LENGTH (NO CORRECTION FACTORS) 36.92 PIPE DATA PIPE OUTSIDE DIAMETER = .2600D+02 PIPE THICKNESS = .9670D+00 CRACK DATA CRACK SHAPE = ELLIPTICAL CRACK ORIENTATION = CIRCUMFERENTIAL CRACK SURFACE ROUGHNESS = .2000D-03 HALF CRACK LENGTH INCREMENT = .9231D+00 NUMBER OF INCREMENTS = 20 NUMBER OF 45 DEG TURNS = 0 NUMBER OF 90 DEG TURNS = 0 EXIT TO INLET AREA RATIO = 1.00 MATERIAL DATA YOUNG'S MODULUS = .260D+08 YIELD STRESS = .335D+05 RAMBERG-OSGOOD EXPONENT = .555D+01 RAMBERG-OSGOOD CONSTANT = .111D+01 FLOW STRESS = .562D+05 YIELD STRAIN = .129D-02 REFERENCE STRESS = .335D+05 REFERENCE STRAIN = .129D-02 l

1

r g&JD SC60Vwpv OG.' #60-W7^Id6-@t ]

tivvist:et ble. O s*ktF Na G .1,/fi LOAD DATA AXIAL (NON-PRESSURE) LOAD = .000D+00 TOTAL BENDING MOMENT ~

= . 3 64D+ 07 TOTAL AXIAL STRESS = . 613D+ 04 TOTAL BENDING STRESS = . 764D+ 04 F*UID DATA PRESSURE = .104D+04 TEMPERATURE = .100D+01 ENTRANCE LOSS COEFFICElfr = . 610D+ 00 FRICTION FACTOR = .134D-01

BACK PRESSURE = .147D+ 02 OUTPUT DATA LaSalle Ste. tion MS Line Leak Rate for Circumferential Flaw CRITICAL CRACK LENGTH (Zul) 36.9237 SUBCOOLING = .0 CRACK LENGTH COD FL/D LEAK FLOW RATE CHOKED INCHES INCHES GPM 9 200 F 1 1.8462 .001934 26.0 .0806 YES 2 3.6924 .004209 8.4 .5322 YES 3 5.5386 .006875 4.2 1.5923 YES 4 7.3847 .010017 2.5 3.4748 YES 5 9.2309 .013761 1.7 6.4096 YES 6 11.0771 .018276 1.1 10.6622 YES 7 12.9233 .023784 .8 16.5385 YES 8 14.7695 .030571 .6 24.3743 YES 9 16.6157 .039003 .4 34.5146 YES 10 18.4618 .049552 .3 47.2868 YES 11 20.3080 .062838 .2 63.0126 YES 12 22.1542 .079693 .2 81.9598 YES 13 24.0004 .101269 .1 104.2811 YES 14 25.8466 .129211 .1 129.9586 YES 15 27.6928 .165965 .1 158.6531 YES 16 29.5389 .215310 .0 189.2890 YES 17 31.3851 .283309 .0 219.0546 YES 18 33.2313 .379987 .0 1312.3144 NO 19 35.0775 .522233 .0 1908.5948 NO 20 36.9237 .738271 .0 2845.6603 NO 1