Text

Energy Absorption by Size 14 Figure 607 Valve Seat & Disk at Yankee Rowe
	ML20148E973
Person / Time
Site:	Yankee Rowe
Issue date:	12/11/1975
From:	Duffy D, Fowler J; ROCKWELL INTERNATIONAL CORP.
To:	;
Shared Package
ML20148E929	List: ML20148E924; ML20148E968; ML20148E973;
References
	2573-62, NUDOCS 8010310724
	Download: ML20148E973 (64)
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( r . lr a m ~ /j 'k. y Flow Control Division .< d 4 Utility Products Group 400 North Lexington Avenue 0 Pittsburgh. Pennsvivania 15208 ROCkWell Telex: 866241 . International Cable: ROCKWL INT PGH 5 Department 744-76XXX-645 TECHNICAL STUDY Report No. 2573-62 Energy Absorption by the size 14 Fig. 607 Valve Seat and Disk at Yankee R TITLE: I ABSTRACT A preliminary investigation of the deformation damage expected to occur in valve as a result of high energy impact of the disk on the seat was made. An clostic finite-element study of the volve body and disk showed that yielding will occur first in the volve body. A mathematical model of a postulated mode of plastic failure of the seat was developed ard indicates that the valve body alo has adequate energy-absorbing capacity to cbsorb the necessary impact energy with'a safe, functional terminal configuration. A scale model test of the valve body exhibited behavior similar the postulated failure mode, and indicated additional strength due to work hardening of the material. It is concluded that this valve can safely withstand the sudden closure which would result from an instantaneous release of pressure upstream of the valve. AUTHOR: hf,(mh[ w&,, APPROVED

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K Ft. Fowler TITLE: Valve Research Monager i DATE: December 11, 1975 KEY WORDS Calculations; Va "es, Angle; Valves, Nuclear DISTRIBUTION D. W. Duffey/B. J. Milleville J. H. Loretan R. L Lawson F L-19 Report File 2573-62 8010s1o M y

f b D....irtnu nt 744-76XXX-645 Report No. 2573-62 Page 2 1 i OBJECTIVE i This study was undertaken at the request of the customer to determine whethe size 14 Figure 607 main steam isolotion volves et the Yonkee Rowe nuclear power plant are capable of safe and effective closure in the event of a cotostrophic Such a condition would cause these break in the pipe adjacent to the volve inlet. stop-check type volves to slam shut, the disks striking the sects of a velocity 65.3 f t/sec (19.9 m/s) and with on energy of 139,250 in-lb (15.7 kJ) (1)l. Due to the limited time available, this study was to be limited to on elastic finite-element analysis, hand calculations, and simple model testing. CONCI U510NS The disk impact energy due to the sudden flow reversel ossociated with a line 1. break con be sofely obsorbed by the volve seat. The type of deformation that will occur is a plastic flow of the seat shelf, 2. downward and inward, cousing a reduction in the inside diameter of the volve bore below the seat. Very little radial movement of the body shell Will occur. The volve disk is stronger than the seat by a factor of 2.23. Therefore most 3. Any plastic deformation plastic deformation will occur in the volve seat. that might occur in the disk will provide further energy-obsorbing capacity. f The deformed scot in the model was coined to on excellent finish. However, 4. no stellite was deposited on this seat as is the case in the octual volve. Therefore, the sealing ability of the volve ofter this deforrnation has occurred However, even though the connot be predicted solely on the basis of the test. stellite might crack, intimate contact between the disk and body scoting peripheries is assured and any leakage should be negligible by compa the quantity of stoom discharged by the line break. DISCUSSION on clostic finite-element stress This investigation included three principal activities: analysis of the disk and body, a simplified plostic onolysis of the scot reg Discussion of these activities experimental study of the plastic deformation of the scot. will be presented in that order. Numbers in parenthesis refer to references at end of paper. I

C,;artm:nt 744-76XXX-645 ['. Report No. 2573-62 Page 3 ELASTIC FINITE-ELEMENT ANALYSIS The lower portion of the disk and the seat region of the body were modeled using FINEL @), on exisymmetric finite-element program having rectangular and tria elements. This program has been used extensively within Rockwell and has been verified with closed-form analyses and by comparison to NASTRAN on identical models. Since the body loading includes both the seat loading due to impact and the in pressure loading above the seat, it was necessary to run two cases in or the seat deflection due to the impact loading alone. Exhibit One is the computer output for the combined pressure and impact loadin 1,000,000 the body. For a pressure load of 1000 psi (69 bor) and on impact load of lbs. (4.45 MN), the maximum stress intensity occurs just below the seat, and ha rmgnitude of 72.3 ksi (498 MPa). Comparing this wlue to the yield strength of the body material at 500F (260 from Section !!! of the ASME Code (4), is 29.1 ksi (200 MPa), shows that the oc seat loading at which yield will occur is: 1,000,000 (2 ) = 402,500 lb. (1.79 MN) 72 And the corresponding pressure loading would be: 1000 (g1) = 403 psi (28 bar) 29 which fortunately compares well with the 424 psi @9 bar) obtained by extrapolatin the inlet pressure in the simulation study to the time of impact. Exhibit Two is the onelysis of the body under impact loading only. This analysis mm) due to impact. shows that the outward deflection of the seat is.0061" (0.16 Applying the 0.403 yield odiustment factor os above, the ediusted deflection a 402,500 lb. (1.79 MN) load would be.00245" (0.062 mm). A calculation of the elastic energy obsorbed by outward deflection of the se W = h F x = f (402,500)(.00245) = 493 in-lb. or, in SI units, f (1.79)(.062) 103 = 55.6 J which is, of course, insignificant compared to the 1,251,000 in.lb. (141.4 kJ) e ne rgy.

1 DI etmant 744-76XXX-645 's i Report No. 2573-62 Pogs 4 Exhibit Three is the finite-element model of the disk. This disk model proportion to the mass at each section, in the rnanner used in the Leonard a study of nuclear swing check valves (3). The FINEL program is also used in th analysis. The seat load resulting from the arbitrarily-scaled inertial loading was 45,670 lb. (.203 MN). The maximum stress intensity was 1.59 ksi (11 MPa) compared to a yield stress (Fil material) of 31.2 ksi (215 MPa)(4), indicating that the disk can withstand a seat load of: 45,670 ( 2 ) = 898,000 lb. (4.0 MN) before yielding. Since the body will begin to yield at 402,500 lb. (1.79 MN), the disk is approximately 898,000/402,500 = 2.23 times as strong as the body. By summing the products of one-half the applied forces times the deflection corresponding nodes, the elastic energy input to the disk was calculated to be in-lb (.535 J) under the loading of the model. This must be scaled up by a factor of (402,500/45670)2 = 77.7 to correspond to the body yield load, yielding an cla: tic energy of 369 in-lb (41.6 J). The clastic energy also would include that energy obsorbed by relative motion of Inward deflection of the disk, adjusted for the yield the disk into the conical seat. load of the body, would be: .00005 (h02 500 ) =.00044" (0.011 mm) y i Adding this to the outwurd deflection of the body and multiplying by half the ap j force, the energy obsorbed is: W = f (402,500)(.00044 +.00245) = 582 in.lb. l i or, in 51 units, 3 = 65.6 J W = f (1.79)(.011 +.062) 10 1 i

I.sortment 744-76XXX-645 .[ Report No. 2573-62 Page 5 v The total energy that is absorbed elastically, then, up to the point of incipient yielding, would be: Energy, in-lb (J). l Description 493 (55.6) Body Elastic Energy 369 (41.6) Disk Elastic Energy 583 (65.6) .____..._...l Disk-Body Relative Motion 1444 (162.8) Total Elastic Energy Capacity Thus, the elastic analysis bears out the initial opinion that the amount of energ can be absorbed clastically is for less than that which would be supplied under the postulated line break conditions. Nonetheless, the clostic analysis does identify the body as th likely site of plastic deformation and further, an examination of the maximum shee, trajectories in the One can visualize the seat seat region (Exhibit Four) does suggest a mode of failure. deforming downward and inward due to the applied load, with material from be This concept led to the plastic analysis described the seat bulging out below the seat. below. PLASTIC SEAT ANALYSI5_ Exhibit Five shows the derivotion of a simpic equation for the amount of energy required to plastically deform the seat in a tranner suggested by the maxim trajectories of Exhibit Four. This analysis makes use of three simplifying ass 1 The effect of hoop stress is neglected since the radius of the seat 1. Therefore the is quite large compared to the local deformations. problem is simplified to a two-dimensional plane. 2. Deformation occurs along parallel slip plancs. ~ Loading occurs along the slip planes, that is, there is no effect 3. of loading through the slip plores on the shear yield stress. The resulting equation for the plastic energy absorbed by the seat in the defor defined is: 2 W = 7.5844 d T yp (o2-b) p For the case of the size 14 Figure 607 volve, this results in a seat ener W = 271,181 in-1 b (30.6 kJ) p

Demrtment 744-76XXX-645 l RL,rt No. 2573-62 Pag 3 6 Since the disk is subject to a steam pressure acting in the direction of travel, the t energy required to be absorbed is the sum of the kinetic energy of the disk due velocity at impact and the products of the pressure force and the distance the d This steam pressure energy is equal to the product of the pressure travels af ter impact. and the volume change, or = P OVb, where: W b e V/e = expansion work, = bonnet chamber pressure, and Pb Avb = bonnet chamber volume change 2 14.8 in2 (0.0954 m ) The bonnet chamber volume change is the product of the bonnet area,3), and the seat deflection, 0.190 in. (4.83 mm), or 28.2 in3 (.00046 m The bonnet chamber pressure con be obtained by extrapolation of the simulation d and is: p2, V1P1, 480.8 (264.23)- = 142 psi (9.8 bar) V2 896.3 The yields an expansion work of 4004 in.lb. (452 J). 139,250 + 4004 = 143,254 in-lb (16.2 kJ), which Therefore, the total energy input is271,181 in.lb. (30.6 kJ) seat energy abso compares favorably with the culated. Therefore, on the basis of these calculations, the seat design can safely absorb all the energy of the disk within the deformation limits described. EXPERIMENTAL SEAT STUDY in order to demonstrate the credibility of the calculation method as a means for estirrating energy absorption capabilities, a scale model of the size 24 Fig. 400 mlve sect was made up and on actual deforrration test was performed, with the relationship between loading and deflection recorded over the full travel of the The size 24 wlve seat is similar in shape to that of simulated disk into the seat. the size 14. The linear scale factor of 0.1875, Exhibit Six shows the test model dimensions. 200,000 lb. referred to the size 24 valve, was chosen in order to permit use of the (889 kN) test machine in the Rockwell materials laboratory. Clay impression t t trade of the seat in the model and viewed on on optical compara or o ver geometry was correct.

rtment 74k-76XXX-645I Report No. 2573-62 i Pags 7 A tensile specimen was made of the same piece of material that was used for t and was pulled to determine the yield strength of the material. Its yield strengt (0.2% offset) was 43.3 ksi (298 MPa). This is typical of the 1018 material is higher than the minimum specified yield strength of the volve body material{ Knowing the actual yield strength provides a basis for comparison of the energy i absorbed in the test model to that which would be absorbed in a va material properties. The ratio of yield strengths is: i 43.3__ = ),49 l 29.1 In addition, a i Exhibit Seven shows the test data plotted as a load-deflection curve. family of theoretical curves is shown, since the theoretical force isl coefficient of friction between the disk and seat.

l matches the data well, and since this is a reasonable coefficient of friction, the experimental data do seem to confirm the theory.

The theoretical amount of deflection in the mode,1 that would be required to 0.088 " (2.2 mm). However, absorb the scaled equivalent of the energy of the disk is the test data indicate that, due to the large energy absorption by friction between disk and seat, only 0.058" (1.5 mm) of deflection would be required to accomplis same amount of energy absorption. Since the frictionless assumption is more con o rnaximum seat deferrnation of 0.19" (4.83 mm) would be expected to occur in the 14 valve, out of a total 0.31" (7.9 mm) seat shoulder width. The flow of Exhibit Eight shows the shape of the deformed model bore after the test. rmterial is not exactly as predicted by the mathematical model. The difference can First, the contribution of the circumferential, or hoop, be explained by two factors. strengths of the material tends to resist radial material movement more tha model. And second, strain hardening along the 22-1/2o lip planes would terd to s cause the rmterial to seek new slip directions of lesser resistance after yielding ha begun. Exhibit Nine shows the derivation of the theoretical curves of Exhibit Seven, b on the strength and dimensions of the model. 4 ,~_#y---

s a i REFERENCES 1. Disk Velocity of impact with Seat for Line Break at Upstream Side of Size 14 Fig. 607 Non-Return Valve, E. B. Pool, Rockwell International, Report 2573-48. i 2. FINEL - A Stress Analysis Program Using Axisymmetric Finite Elements, J. H. Fowler, Rockwell international, l Report 2573-01-21-14. I 3. Verification of a Qusoi-Static Elastic-Plastic Impact Analysis for a Check Valve Used on a Nuclear Piping l System, J. W. Leonard and J. R. O' Leary, ASME Paper No. 74-WA/PVP-8. 4. ASME Boiler and Pressure Vessel Code, Section 111 Division 1, Subsection NA, Table 1-2.1, 1974 edition, ASME, New York, pp. 88-93. l i t l i i ~ I l

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PAGE 4 4 C;KwE LL INT C'RN STIONAL low CCNT ACL DIVI 510ft )RCGRAM f40.' f4CCESR26 07/24/75 illE 14 FIG. 607 BODY SEAT AREA FINITE ANALYSIS HICHAUX e PICTORI AL REPRESENT ATION 0 0 93 94 55 96 0 0 89 90 91 92 0 0 85 ^86 87 88 0 0 81 82 83 84 0 0 77 78 79 80 O O 73 74 75 76 0 0 69 70 71 72 0 0 65 66 67 68 0 0 61 62 63 c4 0 0 57 58 S9 60 O 52 53 54 55 56 51 0 0 0 0 0 46 0 47 48 49 50 41 0 42 43 44 45 36 0 37 38 39 40 31 0 32 33 34 35 26 0 27 28 29 30 21 0 22 23 24 25 16 0 l'l 18 19 20 0 12 13 14 15 11 ~ 0 7 8 9 10 6 1 0 2 3 4 5 O e 9 4 4 e e r e e k s t e e -- W-e a m ess 4 .w. -..=m-=.esme-==_

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l PdG'E" 6 ( fiODE S. COORDINATES, AND FORC25 SIZE 14 FIG. 607 800Y SEAT AREA FINITE ANALYSIS HICHAUX 07/24/75 1 6.440 0.0 C. O. 2 6.880 - 0.0 C. O. 3 7.330 00 C. O. 4 7.7o0._ 0.0 0. O. 5 8.250 0.0 C. O. 6 6.440 0.600 0. O. 7 6.880 ~~0.600 C. O. 8 7.'330 0.600 0. O. j ~ 9 7.780 0.600 0. O. 10 8.250 C.600 0. O. 11 6.440 1.200 C. O. 12 6.880 1.200 0. O. 13 7.330

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O. 14 7.780 1.200 0. O. 15 8 250 1.200 C. O. 16-6.440 1.,800 0. O. 17 6.880 1.800 0., O. 18 7.330 1 800 0. O. 19 7.7_80 1.80,0 0. O. 20 8.250 1.000 0. O. 21 6.440 2.400 0. O. 22 6,.880 _2.,400 0. O_._ 23 7.330 2.400 0. O. 24 7.780 2.400 0. 0. 25 8_._2 5_.0 _2,.400 0. O. 26 o.440 3.000 0. O. 27 6.880 3.000 C. O. _3.,000 0. O. 28 7 330_ 29 7.780 3.000 0. O. 30 8.250 3.000 0. O. 31 6.440 3.600 C. O. 32 6.680 3.600 0. O. 33 7.330 3.600 0. O. 3_4 7.780 3,.600 0. O. 35 8.250 3.600 C. O. 36 6.440 4.200 0. O. 3_7 6 880 4.200 O_. O. 38 7.330 4.200 0. O. 39 7.780 4. 20 0 C. O. 40 8.250 4.200 0. O. 41 6.440 4.800 C. O. 42 6.880 4.800 0. O. 43 7.330 4.E00 0.* 0. 44 7.780 4.000 0. O. 45 8.250 4.800 C. O. 46 6.440 5.400 0. O. I ~~47 '6.880 ~~~ 5.400 ~ ~ ~ C. '0. 48 7.330 5.400 0. O. 49 7.780 5.400 C. O. 50 8.250" '5.400 0. O. ~ ~

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PAGE 12. _.... lINEL (- o 07/.24/.75 (IZEl4FJG. 607 BODY SEAT ARE A FINITE. ANALYSIS __MICHAUX AVERAGE 0 STRESSES AT NODES NO. ~ RADIAL AX1AL HOOP SHEAR PRINCIPAL STRESSES O STRESS DE G__I NT ENS I T Y. _.' 58248. 24. 64798. 51 -22724. -51006. 6550. 16040. -15481. 61985. 51. 65495. 52 -45549. -37625 3509. 20010. -21188. 32775. 62. 44133. 53 - 2 9 7 9 3,.__ -22577. _11358. 5515. -19595. 15682. 85. 32276. 54 -15621. -8747. 16595. 646. -8687. 55 -6527. 166a. 20245. -442. 1689. -6550. -87. 26795. 56 -238. 15089. 24236. -328. 15096. -245. -89. _24481.. 57 2314. -5466. 21792. -3218. 3472. -6626., -20. 28418. 58 1091. -2074. 20889. -2796. 2721. -3704. -30. 24592. 59 - 613. 2737. 20218. -2779. 4306. -2183. -61. 22401. ~ y 60 1103. f047'4. 2'1'456. -f'320. 10'666. 92'i~. -82. 20535. ~ ~ 61 -744. -2156. 18883. ~864. -334. -2566. -25. 21449. 6_2 - 8. 2 8. -2325. 17241. -193.8. 501.. -365,4_. -34.. _2 089 5.,_J 63 296. 1122. 17280. -2024. 2775. -1357. -51 18637. 64 561. 3701. 16854. -1038. 4013. 249. -73, 16605. 65 -63. 1345. 17022. -730. 1655. -373. -67. 17395. -1032. "721. -1W51. -53e (E527,'1 ~ ~ 66 -668. -91. 15046. g 67 -129. ~75. 14055. -1119. 1017. -1221 -46. 15277. 13?23,] 68 -393 -966. 12682. -482. -119. -1241. -30. 69 36. 3286. 14709. -357. 3325. -3. -84. 14712. t 70 -684. 734. 12557. -465. 873. -823. -73. 13380., 7.1 _ -139. ,586 11368. -457. 146_. -872 -32. _12240._q 72 -825. -3109. 9580. -140. -816. -3118. -3. 12706.. 73 117. 3947. 12294. -105. 39f0. 114. -88. 12180. l 74 ~ 64 8. 1031. 10218. -11. 1031. -648. -90. 10866. l 75 -172. -840. 9025. -13. -172. -840. -1. 9865. 76 -860. -3648. 7332 92. -857. -3651. 2. 10983. 77 -1. 3562. 9810. 63. 3563. -2. 89. '9813_j 78 -630. 987. 8066. 270. 1031. -673. 81. 8740. 79 -212 -814. 7036. 264. -112. ~913. 21. 7949. _, 0 0_ - 776. -3283.. __5623. _ _2 2 8.. -756 --3303. 5. 8927d E1 -209. 2611. 739,3. 142. 2618. -216. 87. 7599. 82 -617. 757. 6098. 398. 864. -724. 75. 6823. 63 -255. -626. 5317. 391. - 8. -875. 32. 6192. 64 -613. -2398. 4293. 288. -568. -2444. 9, 6737. 65 -444. 1491. 5064. 142. 1501. -455. 86. 5519. 66 - 61 0. 469. 4268. 389. 595. - 7 3 6. _,,_7 2.. 5004._ 67 -296. -390. 3759. 382 42. -728.. 41.. 4488. dB -426. -1306. 3146. 277. -353. -1441. 15. 4588. 3534. 69 - 630. 594. 2901. 65. 598. -633. 87. ~ 513'. 253. 290. -679. 74. 3191.' ' '9 0 -607, 1218. 2 ~~~~~ 91 -331. -189. 2253. 247. -3. -518. 53. 2771. 92 -299. - 554. 1975. 208. -183. -670. 29. 2645.; 93 ~~~~'852. ' 'T 2 2. 772. -5. -122. -852. -90. 1624.. ~~~ 1 94 -727. -223. 649. 129. -192. -759. 76. 1408.. 95 -428. -404. 593. 124. -291. -541. 48. 1134. 9c -297. - s c 3. "~" " 5 3 5.-~~'~146." ~ -223. -583. 27. 1118.. ..__7

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PAGE 14 siNEL' 07/.24/75..

ZE_L42I G.__6 0 7. 8 00Y_.5E AT._. ARE A_f!N I TE_ A NA LYS I S ___M

-LEMENT CENT ER DAT A PRINCIP AL STRESSES O STRESS NO, R ADI AL 'XXIAL HOOP SHEAR _ DE G__I NT E NS I T Y.. 51 -150. -1321. 11949. -581 89. -1560. -22. 13509. 52 -655. 2323. 12359. -164. 2332 -664. -87. 13022 _ _53 -340. 149. 10832 -303. 294. -486. -64> _11318. 54 -152. -2048. 9432 - 147. -140. -2059. -4. 11491. 55 -685 2358. 9971 144. 2365. -692. 87. 10664. __56 -355. 1.42. _ _8.6 2.0. _2_22_. 227. -440. 6_9. _. 9060.__ 57 -128. -2075. 7389. 140. -118. -2085 4. 9474. 58 -730. 1896. 7705. 312. 1933. -766. 83. 8471. 59 -378. 115. 6656. 515. 439.' -703 58. 7359. 60 -120. -1669. 5704 302 -63 -1726. 11. 7430. 61 ~774. 1208. 5575. 360. 1272. -837. 80. 6412. 62 -410. 75. 4878.. 599._ 4 7.8_. .81.4.. 56. __5692._ 63 -115. -1063. 4254 348. -1. -1177. 18. 5431. 64 -814. 534. 3566. 299. 598. -878. 78. 4444. 65 -439. 39. 3208. 492. 346. -747. 58. 3955. 66 -117. -472. 2896. 283. 40. -629. 29 3525. 67 -833 101. 1665. 112. 114. -846. 83. 2511. 68 -443. 13. 1575. 220. 102. - 532. 68. 2107. 69 -89. -90. 1511. 114. 24. -203 45. 1714. 70 -54939. -34200. 1028. 23293. -19072. -70067. 57. 71095. 71 -36159. -41051. 5990. 16727. -21700. -55509. 41. 61499. 72 -9290. -60961. 7110. 15354. -5072. -65179. 15. 72289. t l 1 ~ ~ ~ ~ ~ ~ ~ ~ 1 7 - ~~ 4 i - - emm # 48 4 - -1..._. p 0 c) *.

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O 57 58 55 43 0 52 53 54 55 56- ~ 51 0 0 C 0 0 46 0 47 46 49 50 41 0 42 4? 44 45 ~' Jo u 3/ 3e 39 G'~ 31 0 32 33 34 35 26 0 27 20 _29 30 e____ _ _ ___ __ g g g 16 0 17 1E 19 20 11 0 12 13 14 IS G~ o { o s CD 1 0 2 3 4 5 -m_____ - __.__e__. th'4 - J',.--~ 5 e es.m.* =9 e a ens s.o me. -.N g, m -- gee. 9 O e mm _e me neme m 6

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t PSGt 6 '40J4c, ""'c 0 l';t YE e, ?,hC FNCES 5! LhT4~EfG. o07 67CY 53AT A P.E A F INITE ANALYSIS MIC H AUX 127117'75 1 6.4 4 C 0.0 0. O. 2 6.680 T. 0 C. O. 3 7.330 C.0 C. O. 4 7.780 0.0 C. O. a eT2To ~070 ~ t ~.' o. 6 6.440 0.600 C. O. 7 6.380 C.600 C. O. o (.33'O~ ETE00 -C. v. 9 7.78C C.600 C. O. 10 8.250 C.6v0 C. O. ~ 11

6. GO l'R 00' C.

U. 12 6.883 1.200 C. O. 13 7.330 1.200 C. O. 19 (D oc ~~l~. 70 0

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f. C D'0--

L.. o. 27 6.880 3.C00 C. O. 28 7.330 3.000 C. O. ~23 7.TBC T 0 0~0-~ ~ c. o. 30 8.250 3.C00 C. O. 31 6.440 3.600 C. O. .32 e.eSo 3'.~60U T. D. 33 7.330 3.600 C. O. 34 7.780 3.c00 C. O. 35 ~E R3I 3TEJD C. o. 36 6.440 4.200 C. O. 37 6.380 4.200 C. O. 36 l. T3 D 4~ 20o c. U. 39 7.780 4.200 C. O. 40 8.250 4.200 C. O. ~ 4'1 6~ 4TO T. E 0'0----~ C. o. 42 6.680 4.800 C. O. 43 7.330 4.e00 0. O. 99

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c. O. ~ 62 7.330 7.240 C. O. 63 7.760 7.240 C. O. I c4 d'. Z C t.~74 0 C. O. 65 6.680 7.040 C. C. _j 66 7.3 30 7.640 C. O. 67 7 7VC 7.LTO C. ~0. 68 8.250 7.640 C. O. 69 c.880 8.440 C. O. /0 /.330 6 640 c. 0~. 71 7.78C 8.440 C. C. 72 8.250 0 440 C. O. 73 c. eTO 4-'c4 0 ~C. o. 74 7.330 9.040 C. O. 75 7.780 9.040 0. O. 7t E 2Tc s.c40 -7. O. ~ 77 6.690 9.640 C. O. 76 7.330 9.(40 C. O. ~ 79 777Fd 97i4D C. dC 80 8.250 s.t40 C. O. 81 6.680 10.240 C. O. ce i.;;0 1 5'. 2 4'O L. v. 63 7.78C 10.240 C. O. 84 8.250 1C.240 C. O. o5 o. 6 s0 1~07840 0. O. 86 7.330 1C.E40 C. O. 87 7.730 10 f40 C. O. V. od 6.;:0 IV'?40-- L. 89 6.380 11.440 C. O. 90 7.330 11 440 C. O. 91-736c 11.44D- ~ (.- ~~~ o. 92 8.250 11.440 0. O. 93 6.880 12.040 C. O. 7 7 270 T27040 c. v. 95 7.780 12.C40 C. O. 9, 9e S.250 12.c40 C. O. e

~# 4 L u. s .~.._.. . I b f 'l ( a f (9, -~~~~'~~~ ~ e I NT hh e T I CI t.L-N %dLL ~ "~ -L 'N C C fA OL 01 V 15 I ~.'l i ~ ~ ~~ . 3 CiGEA's~Nd7 f.TCE 5R 2'$ 12/11/75 l FICHAUX 607 BODY SEAT tRE A FINITE ANA1.YSIS ) 312E ~ 14 F I G. - 5 TIFF'4515 MATRIX WICTH FROM 1-TO 16 4 0 AUS5-STfD7.L ITY.TA'TTC N i CONVERGSNCE AT ITt:RATICN NO. AhD BETA. ' 100 1.81328 19593E-04 54708?-06 200 1.81328 ~~~ ^~" .1W55E:V 7 TJO ~r~8U2T LOT AL, ITEP AT IO*ls, 303. 1 1 H _\\ m ---.~_ --,e-w-,-.-e--, e, ~, - + .sw swi- -e. - - s,-.

Pf 3r 31.H L 12/11/75 512C 14 FIG. 607 o?DY SE/ T /Rf A F1t!ITE ANALYSIS MICHiUX SOCPL DI S PLP CEMENT 5 * ~TCHE UN U Z- ~ l 0.0014213 -0.00000C0 ~~~Z

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!N 14 FIG. 607 6JCY 53AT AR3A FINITF tA A L YS I S PICHAUX 12/11/75 AV ER AGE 0 ST RES SES AT NODES .NJ. RACIAL AXIAL HO ~) P S HE t r. FRINCI P AL STRESSES 9 S T r.F S S i DEG INT v51TY 1 IT9e. -r50. 401T. l'383. 2T3L. -a89. ze. WO oT l 2 11 6. ~6404. 5141. 138C. 396. -6684. 11. 11825. 11674. 7. 14973. f 3 189. -11517. 3299. 1364. 346. 4 169. - l'U577. 1 623 14.: 3. 294. - 16623. D. 162T6. 5 -1359. -22661. -734. 12E6. -1282. -22738. 3. 22004. 6 1669. -449. 8253. 162. 1631. -461. 4. 8715. 7 IT 3. - e 57T-5T03. 2T4. T2 4. -6dE2. z. 11YH~~ C l 6 189. -11530. 3585. 380. 201. -11542. 2. 15128. 9 19 0. -lo38C. 1932. 270. 195. -16384. 1. 18?16. ~ 10 -T3T3. - 47 T83. 407. TIT.~ -1334. -zzsvu. u. z1ve7. 11 1578. -1391. 8935. 345. 1618. -1437. 7. 10372. 12 102. -7095. 6171. 591. 150. -7143. 5. 13314 13 T6E - 1T5717 (434. 81E. ~2T2~. - 1T62T. 4. f6062~~ ~~ 14 193. -13949. 2355. 582. 214. -15970. 2. 18825. 15 -1247. -21531. 603. 237. -1245. -21534. 1. 22137. 16 1 TOT. - :.1T3. 9972. TEt. 14 (4. -3413. /. 1418). 17 82. -8044. 7393. 992. 201. -8163. 7. 1555o. 16 17 7. -11o44. 5814. 1371. 334. ~11801. 7. 17616. 19 T9 7. - 151 67 ~~- --~ ~4 3 3 2~ "~G 5. 255. -15228. 4. 196TO M 20 -lC89. -19959. 2293. 4C9. -1080. -19968. 1. 22261. 21 111 5. -5919. 11213. 646. 1215. -6020. 7. 17232. ~;4 5 T0. Bi72~~'~~~T512. 45). -9(63. v. l e r 3 5 ~~ 22 34. 23 161. - 11767. 7664. 2C69. 516. -12123. 10. 19786. 24 19 o. -13744. 6485. 1489. 354. -14099. 6. 20585. ~ ~P; 262*. - l' ? U6. ~ VE9 2. - T4 3. ~~;7V9. -1T4F1. 2. 22173 - 26 702. -7980. 12455. 11E6. 632. -10110. 6.

22566, 27 35.

-11700. 10702. 2166. 422. -12087. 10. 22849. ' 2'a T47. - 1T 9 9'5. ~~ ~ 9 B 7 2.- .i c14. 654. -1z/04. 13. 45to. 29 212. -12165. 9115. 2167. 583. -12537. 10. 21653. 30 -397. -13693. 7829. 57C. -327. -13764. 4. 21593. _ _. y _ pg.7- -.... g g-3.g. 6'2. J'l~ 5 6TO. 6. 19T2T;-~ 0 32 35. -14755. 12537. 2955. 604. -15324. 11. 27861. 33 180. -12415. 12281. 4168. 1434. -13o69. 17. 25950. ~34 751. -V722. 121T3. iC d I. 111.:. -TU d v s. le. zz766. 3S 340. -8122. 11783. 1411. 569. -8351. 9. 20134. 36 -30B. -22464. 14010. ECb2. -114. -22659. 5. 36669. -1 E ~~21357c. 1395c. i91C. (oZ. - 1974~c'. 11. 33703. oI 38 197. -12961. 14662. 5626. 2274. -15038. 20. 29700. 39 268. -0332. 15529. 4102 2249. ~8293. 26. 23522. i ~~~ ~~4 0 "TZoi. - 3 :: 4. 16 4~2 4. TT5E~ z5(U. -16o4. 34. lauda. 41 -3090. -33740. 12313. 2845. -2788. -34001. 5. 46314. 42 -910. -24372 14468. St39. 463. -25744. 13. 40232. I -'37137--! __7 3 3 p.-. ~... 7 3 5 0~. 71C2-Isla. -T4(6T. 26. 44 -941. -2296, 18341. 4115. 3204 -6442. 41. 24782. i 45 16ol. 66E). 20910. ~162. 9305. 1056. 74. 19854. 9o -2871 T6007. T0377. 1C22U. -574. r4BTUU. i3. 991(b. 47 -191b0. -31061. 10926. 13CC3. -7890. -38372. 29. 49297. 4J - 70 c 6. -9105. 17317. 692C. -1091. -15080. 41. 32397. 1 4c - 27.4(4. '924. 19244'. ~3220. Z Ur.' -5951. 63. 251957, 50 700. 15350. 23360. 1367. 15477. 641. 85. 22720. j i I

I P G': \\; 1 ML 1 AbA FINITE t NALYSI S u}c.4 Aux 12/(1/73 412E 14 S IG. 607 BOCY SEAT MERAGF0 ST RESSES AT NODES N3e RADIAL AXIAL HOOP SFEAR PRINCIPAL STP3SS55 A $~0COS i OEG 1NT'hSl'Y 51 -22783. - ED79. 7+T91. T5773. - I'573T.~~ -5B'078. 24. 62269'. 52 -45814. - 3 7 7 E4. 958. 15617. -21775. -618??. 51. 62791. 53 -30019. -23196. 8558. 4394. -20o42. -32573. 62. 41130. 54 - 1T57 4. E745. 1T2TO~. 163. -37 40 --' -tsolv.. eu. 498T9 F 55 -6517. 1913. 18127. -724. 1975. -oS78. -85. 24706. 56 -122. 15676. 22405. -443. 15688. -135. -88. 22540. '-~ ~67 78'. -Ia. 2545T. 57 31D 2. - 5'5 3'4-~ ~~- TTE7 5. -f505'.- 474'6. 58 177 4. -1916. 18119. -3116. 3550. -3692. -30. 21811 59 -352. 2789. 17534. -3C69. 4065. -2229. -59. 19763. oo ~13 3. L343e. l'89T8~. -l 43 E. T06T61 1023. -ul. t t 895T' 61 73. -1498. 15362. -569. 53 5. -1960. -25 17323. 62 - 21 7. -2164. 13856. -2109. 1133. -3513. -33. 17369. ~ T3. ~YE T.-~~7TO H. '-~/219 3. 36157 ' - 1HST - 4 T. ~I5407.' 64 676. 3115. 13651. -1108.

3543, 247.

-69. 13403. 6 63 65 606. 2267. 13044. ~781 2623. 470. -67. 12574. 66 -4c. 2T3 ~ 1T1~90. 'TlT7. 1TOS. -1041. ~47.~~- r223T.~ 67 195. -322. 10276. -1178. 1142. -1269. -29. 11545. 8934. -494. -175. -2003. -16. 10936. 68 __.32 0. _. _1 8 5 E. _g-g __ .g- .F0 2'G. - 3~6'3~. ~;'M'8. M~. - H~~ ~ 9 G'3' '. ~ 70 -61. 1073. 8275. -445. 1227. -215. -71. 8489. -852. 7177. ~439. 333. -1013. -20. 8190. -" 72 - ( 6 T. -TOY 7~ 'T4~4 9. - 1T37--:75' 9~.- ~ ~ - 4V'61 -4. '9508~~ 71 17 7. 71 941. 4796. 7412. -82. 4798. 939. -89. 6473. 74 -21. 1345. 5571. 56. 1347. -23. 86. 5595. = 1J87 z '.~ 55V2. i -'75-~ '1177 - l'C2 5~. ~ '4505. -~~52. T39T 76 -775. -4479. 2923. 141. -770. -4484. 2. 7407. [ 77 778. 4193. 4529. ICC. 4195. 776. 88. 3753. ~2. l'24c. 3T1'O. -~~ ~3 5 9 7 1720. -v e. 73. c'OST~- 79 90. -1011. 2259. 352. 193. -1114. lo. 3372. rc 60 -eSo. -39C9. 1033. 287. -633. -2934. 5. 4967. 61 52 7. 2 Tid. T742. "TE2. ~3001'. SDB. cu. ~T4V3 ~-~ 62 12, 940. 877. 489. 1151. -199. 67. 1349. 03 40. -767. 330. 481. 264. -991. 25. 1321. ea -4T2. -2765. VZ77-5,6. -402. -2B.$ v. u. 2437. 05 241. le34. -890. 174.

1650, 219.

83. 2552. 86 19. 584. -1167. 465. 846. -243. 61. 2033. J7 -T. ~2T74. ~r141T. w5T. 27 T. -7 5~4. 3T. T 68'47 ~ 86 -229. -1536. -1683. 326. -153. -1614. 13. 1530. e9 33. 5e3. -3334. 82. 595. 21. 82. 3929. Z T~ 2757- -21 E1T 299. ~4 73.--- 1T6. 57. -~76'3 ;.'~ 91 -*A. -22c. -3090. 293. 171. -442. 30. 3261.. -70 92 ~61 - 576. -2979. 241. 17. -676. 22, 2996. -; L 32 74 - 5 7 2 2 '.-~-~ ~ 2 C~. ~ - -211. ~ =291~.-~=4T. 5 512 '.~ 94 -127. -239. -5256. 144. -28. -338. 34. 5227. u 95 -149. ~453. -4943. 142. -93. -509. 22. 4849. > U- -7 z. -5l'O. ~ ~4 5'8 2 T 1bS. "23. -55T. It. 4% 0'.' ~ - w N erae M4-9 e mmm== e m * ** a6 .-a

L,.. PSGC 13 - l *4 L' 512C 14'F!b. 607 370Y SEAT AoEA FINITE ANALYSIS MICHAUX 12/11/75 5LEMENT C5NT ER DATA NO. PADIAL AXIAL HOOP SFSAR FRINCIPAL STRESSES 9 STP.FSS DcG INT"NSI'Y ~~ ~-'l 21 3. -3520. ~5VEO. 97-~ z'le. -3 pD. 1. - 9 93 2--" 2 310. -3844. 4453. 197. 314. -8848. 1. 13301. 3 194. -13969. 2616. 195. 197. -13972. 1. 16588. 4 59. - 17771. u El. es. >v. - tV2 /1. ' v. 40TI27 5 221. -3972. 6969. 291. 242. -3992. 4. 109o1. 6 313. -9022. 4999. 624. 355. -9063. 4. 14062. 170f0-~ { ~ 7 1o4. -FTs5T. T2 J2'- E17. 2T1. -13378. 3. 8 48. - 19 8 E C. 1481. 28C. 52. -18884. 1. 20365. I 9 236. -4945. 794:. 537. 291. -5000. 6. 12944. ~~ ~1 0 216. -9T0;. FO~e 3. 1T4%. ol. -v33 7. i. 15ScV;~~ l 11 16 1. -13598. 4359.

1131, 253.

-13690. 5. 18048. 12 26. -18338. 2721. 515. 41. -18053. 2. 20774. ~~~T 3 253. - c iB I. 9z6E. tie ~~

59.

- 6687. T-- 19975T 14 322. ~ 100? 9. 7594. 1E17. 631. -10348. 10. 17932. 15 124. -l?i75. 6055. 1794. 362. -13412. 8. 19460. ic -t. - ITc Ze. 457e. ~ 641. -lecee. zt?++. 17 277. -9073. 13854. 1272. 447. -9243. 8. 2009o. 18 332. -11005. 9461. 26E5. 936. -11608. 13. 21069. 'r3076. ~F1. 2T3T3 P ~~' 13 9'l. - r2T TC. 6'2:,. cT E3~. ~679. 20 -50. -14474. 7329. 1228. 54. -14578. 5. 21607. 21 29 5. -)2636. 12425. 1765. 532. -12874. 8. 25300. 27 29c. - 12 4T7. ITY42. 3759. IT1 (. -139 e. 13. - 2 V9 09. - 65. -lle67. 103CO. 3799. 1205. -12788. 16. 23588. 23 24 -u4 -11333. 10048. 1767. 193. -11610. 9. 21659. ~f r43 27 ~~2T nh. ~rl?437. -1T762. c273. 67T. - 177 FF-- 7. 2e 410. -1449E. 13535. 5033. 1950. -16038. 17. 29573. 27 99. -10583. 13555. 5246. 2244. -12728. 22. 26263. db -16v. 35EEC. 13 54 F. c57. ela. 37752. r9. eT2977~ 29 -l 7. -23751 14349. 2ESA. 328. -24096. 7 38445. 30 51. - 17 3 t l. 1b051. 672E. 2347. -19658. 19. 34709. 13932. ~ "E T7 T. " 3~0 3 T. -17270. 29. z91T2.~ ' T I-~ - e; 3. r.n. 32 - 42 o.' ~782. 17289. 3336. 2737. -3945. 43. 21235. 33 -107. -32o1C. 13846. 5391. 700. -33o77. 9. 47523. - s T9 7;- -" r2 7 E TT. f 4 3 r2.---" TC13 e. -e0s. -258z4 4(. -t DI3;. 2, 35 -3755. -o1CE. 17o77 714E. 2313. -12174. 40. 29851. 3o -1059, 6055. 20463. 3C61. 7191. -2195. 70. 22679. ~~37 - 1"4 5 c a. -T:3FC. ~14 6 2 7. - ~~12 5 E. - E6 F5~.' - 2T2 ZT-47. 7591a. 30 -o959. ?-2067. 16158. '2i41. -992. -8074. 67. 26232. 39 -1560. 10'91. 21c62. 571. 10419. -1607. 87. 2?269. ~~40 - v c< v. 270s. 151'67. -5340. - 414 :. -17322. -99. e75c7-~ 41 -4317. -531 17:46. -4721. 26o3. -7511. -56. 25053. 42 3o17. 19627. -2629. 9284. -1748. -76. 21375. z_., _.-. __- 1 0 0 2. y g. T,_ ,73);z.-" ~ 16553. ~ 21]E7.- 1950. - 3 4 0 9--~ ~rT3. 19F6TT 44 75. -1153. 15348. -4232. 3oS3. -4380. -41. 20279. 45 - 21 3. 3577. 15575. ~~563. 4880. -1522. - 63. 17097. ~ 7,r-~ ~ 17 0.~ 189; ~ 13 517. -12CT; 13B3. - TV 2 3. -h. l'4 5TS~~- 47 510. -4 12';41. - 2 2 e E. 2536. -2029. -42. 14570. 48 -5. -133. 11443. -1428. 1361. -1499. -44. 12944. ~ ' ' 4'9 T4 W 2209. 10724.~ ~~'-62T.'-~~~""235 5 ~ ~ ~ C 6 '. - 7 4.--- -- 1 3 6 5 5. 50 130. 150. 9289. -llle. lico. -976. -45. 10261.

P FXd'~is til L SI6E 14.FlG., 607 610Y SEAT AiE A FINITE ANALYSIS FICHAUX 12/11/75 f ELEF.CNT C ENT ER CATA L 4 NO. RA01AL AXI6L HOOP SbEAR FRINCI P AL STRESSES 9 STP"S5 ! 00G INTFNSITY ' 51 - 13. -133E. T95r. 23ET. ~1T1. -?r23. -16. ~10'07 4-~" 52 157. 2003. 7837. -122. 3039. 152 -88. 7685. 1 $? 11 5. lat. 6419. -235. 389. -87. -49. 6506. ^

1T.

- z bE2.. -z. i T 5 T.-* 24 - 1~ >. ~zE: I. SD BT. -LCE. ^ 55 119. 2923. 5073. 214. 2940. 103. 8 6.- -~ ~4979. 1 56 95. 172. 3889. 340. 476. -208. 48. 4097. 57 TO-~~~~- 2 Td3. 2765. -- ~~2 C~E. ~ ~ 21.. C'259 9. 5. ~33 E47 i 58 67. 23C7. 2476. 392. 2374. 1. 80. 2476. i 59 67. 136. 1664. 65C. 752. -549, 47, 2213. i 50 TB. -zJ4C. 101. 3/9. Ge. -~C210's. to. 30097~ 61 16. 1461. 57. 434. 1581. -104. 75. 1665. 62 29. 86. -339. 723. 761. -666. 46. 1447. 6S D. -E294. -7f3.-- = ffs. Ts5. -14'1T. 16. f5YlT-'I ~ 64 -28. 655. -2211. 352. 805. -177. 67. 3015. o5 -3. 42. -2212. 5E3. 603. ~564. 46. 2815. l 66 15. -a6I. c223. 375. T67. -7T6. z4. zevT. 67 -52. 144. -4347. 126. 205. -114. 64. 4552. 68 -11. 9. -4042. 266. 265. -267. 46. 4307. i c9 a1. -r34. -T7E57-" 17 f.~"-~ ~ ~ ~7T 9'.~ - -2Gr. 2 7--' 3'E E T.~ 70 -55292. -34666. -1630. 22722. -20026. -69932. 57. 68302. 71 -36336. -40902. 3546. 14512. -21950. -55288. 41. 53835. (e - v u v. - e i l a c.. 4'336. T503 4" ->rST. -6pI9). 13. ( 0U 3D-- ; i .. - l +. =- i

s EXHlBIT_3 -~ i PAJE' 1-CCKnE LL' I fl7 ERN A'IrN AL ~~'L ~~ 7 CW C afJ RCL' O lv 1S ION l ~ MGRAM fiO.' NCCESR26' 08/14/75 ' S. MICHAUX 6b7 0!SC FINITE ELEMENT ANALYSIS 5 6 TNC H FIG. d IBP1'MAXITS NPLOT NTRI NCOUP 100 -68 14 16 0 11 2 2 32 10._0_0 0 23

0. _. i NT-NOREGT NR 62' NPR hPZ NF NSUPP s :

I NGRIDS-id g. - - _,, ! '- l CC.. BETA E' . FC =.30000E+08 .30000 }'[ .10000E-07 .0 7 28 22 1 3X 6 ..] 1810 1 28 30 29 27 g : 1x 1 $10, 2 3_ 26 39 35 22 of fe !X 4- "AI D 3- '- 40 51 43-32 1 X-8 bR10 .,4 51 61 53 43 1x 8 ?J10 5 60 87_ EO 53 g 3 X 7 C 3 RID b I R5 92 EB 81 ~ I' 1X 4 GRID 7 I

92. 100 96 88 1x 4

4,10 8 ELEPENTS g g .'.EC T AN GU.L. A R.g (9 g 20 27 26 19 5 12 11 4 12 19 18 11 19 26 25 18 4 11 10 3-7- 7 9 2 10 17 16 9 17 24 23 16 ~ 2'~ T ~'8 1-~~T'~1 o TS 8~ l 6 2'3 22 15-~2T~3~d 2~9 2'7 26 '3T 3'8~~2 5 ' 11 18 17 10 16 25 24 17 3 1C 25-38 37 24 24 37 34 23 23 36 35 22 40 51 50 39 39 50 49: 38 38 49 48 37 37 46 47 36 36 47 46 35 35 46 45 34 34 45 44 33 ^" 3 3~ M -~41 12~~5'i~~~El 6T ~~60 60 6C Sy 49 49 59 58 48 48 58 57~7 4 '7 57 56 46 46 56 55 45 45 55 54 44 44 54 53 43 60 69 68 59 69 76 77 68 78 E7 86 77 59 66 67 58 68 77 76 67 77 86 85 76 5tF 57~~E6 57~~67~-~T6~- 75 T6~~~7 6 65~-~67.73-~67 66 6'5~~5 6~~ 6 75'~ 7 4'~6'S : i 6 75 84 83 74 56 c5 64 55 65 74 73 64 74 83 82 73 55 64 63 54; 72 54 63 62 53 63. 72 71 62 72 81 80 71; ~~ 8 9 88 8L-~9'2" ~10 0~~ 9 9 91i 64 73 63 _73_ 82_.81 ~ ~ 2'~ "b 2 - _.g.... )._. 7 2 9 gg g4 q1 g0~ 8'3~~83 9 C'~~~8'9 8 91 99 98 90 90 98 97 89 89 37 96 68 7/ 0 29 39 26 0 29 40 39 0 29 30 41 0 29 41 40 J ~ ~ l 4it14Got. Ao'~FTEFC RT 5 0 61 70 60 0 70 69 60 0 g7 78 0~~87 94 86 0 94 93 86 8 41.. 0__52 _.51.40__ 0 _52..61_.51 29 26 ~_52. 40 93 85 86 0 93 92 85 0 93 10C 92 0 96 95 88 0 88 of 00 E 86 do 81 0 43 42. 32 0 3; 2 31 0 R L AT7 tCE .97000 1.5700 2.3100 2 5500 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ y;gggg-- '3 5000 ~ 4. 2 5 0 0 " ~ ~~ ~ 5. 0 0 0 0 ' 5,7900 ~ ~~~6.'1500 41000 .0 6.8600 6.50,00 2 L AT T I CC' ,53000 ,73000 ,9 000 m( 0 3 3 0 0 0 - - ~ e...nn >.cnnn

p< 2 ls PAGE .:..u:. _ ) s l~~ c AOCKb LL < IflT E0f1 ATI C*lt.L ~ j ~~~ ~ FLOW C hr.t orjL Civ!SIrn ' ~ ~ ~ ~ " FROGRAM t40, = NCCESR 26 : 08/14/75, : NALYSIS S. MICHAUX .14 IWCH F IG. _607 O!SC ' FIN ITE ELEMENT A fig 3AL L ATTICE PCSITICNS 1 1-12 2 1 11 .3 1 10 4 .1 8' a 5 1 7 6 1 4 7 1 1 i; i 6 2-12 1 9-2 11 f 10 2 10 fl 2 8 12 2 7 13 2 4 ~ 14 2 1 15 3 12 ~ 16 3 11 .17 3 10 18 3-8 19 3 7 4 ^ 20 3 4 21 3 1 22 4 12 g 23 4 l'1 24 .4 10 y 25 4 8 26 4 7 27 4 4 28 4 _1_ g z 30 5' 1 31 6 _1_6 12 6 15 33 6 14 34 6 13 75 6 l'2 ~ c 36 6 11 ~ 37 6 10 ~ T 3 r3 6 8 29 6 7 40 6 4 41 6 2 42 7 16 43 '8 15 ~C .8 ~19 4 45 0 13 46 8 12 ~~ = ~ ~ 1 1 8 -. 7. 40 8 10 I 50 6 7 \\' I ~ ~..m.

( PAGE 3. ~ CCKw S LL.,1 NT ES N t T I C'IS L L Cd ' C CNT R C1 O l v i S ! *;N ~ ~ ~ ~ ~ . RCG R AM NO. NCCESR26 14 If*CH F I G. 607 DISC FINITE EL_EfENT ANALYSIS S, MICHAUX 0 8/_1.4 / 7_5., i NCDAL. L ATTICE PCSITIONS 4 51 8 4 T2 8 3 ~ 53 9 15 54 9 14 55 9 13 -.-2.L"~**. 56 9* 12 57' 9 11 58 9 10 59 9 8 60 9 7 61 9 4 62 10 15 _j 63

10 14 a

{ 64 10 13 65 10 12 t 66 10 11 6'7 l'd. 10 ~~ 68 10 8 69 10 7 ~ ~ 70 10 5 71 11' 15 72 11 14, 73 11 1.2

3..

74 11 12 -1 75 11 11 ~ 76 fi 10 77 11 8 ~ 78 11 7 Y9 fl 6 E0 12 15 61 12 14 ~ 82 f2 13 63 12 12 ~ 84 12 11 e'5 f2 10 86 12 8 12 7 _ __.8 7 _,g 53 13 13 90 13 12 fl T3 l'1 92 13 10 e 93 13 9 94 13 8 95 14 15 ~ 96 14 14... .__ 97 _. g g3 98 14 12 1 0' ~ ~ ~ ~~ ~ ~ ~ ' ' --N. som m _ m e= o=ms.me ses. S

I ( PIGN ' 4 ! _c_ __ 2 CK,dLL-l'f 4T ERP: tT I C.; AL j;

CW C Of.T P CL CIVISICN~

0 8L14 L7.5_ ', MGRAM NO. NCCESR26 ANALYSIS S. MICHAUX _i INCH FIG. 607 OISC FINITE Et, FENT E .l f '.CT ORI A1. P.F P R ESD4T AT ICN l 0 0 0 0 0 31 42 0 C C 0 0 0 0 0 0 0 0 0 32 0 43 53 62 71 80 0 95 l ~~~D O' ~d 0 o T3 C'~4' 4~~~5 4 63 72 81 88 96 0 0 0 0 O 34 0 45 55 64 73 82 89 97 1 6 15 22 0 39 0 46 56 65 74 23 90 98 i 2 9 lb 23 0 36 0 47 57 66 75 84 91 99 j 3 10 17 24 C.37 0 48 58 67 76 85 92 100 0 0 0 0 0 0 C 0 0 93 0 - 4 1'l 16-~~2 5 0 38 0 49 59 66 77 86 94 0 1 0 0 0 5 12 19 26 0 39 0 50 60 65 78 87 0 0 0 0 0 0 0 0 0 0 0 C 79 0 0 0 ~ ~~ 0 0 0~0 0 0 0 0 0 7C 0 0 V O 6 13 20 27 29 40 0 51 61 C 0 0 0 0 i 0 0 0 0 0 0 C 52 C C 0 4 0 0 0 0 0 0 0 41 0 0 0 C 0 0' O O '7 14 21 28 30 C C 0 0 0 0' O O O .-- l ) I 1 e-- -gN%-.. ._m - e enN MN-- "MN* m wwwp emdesse we + e h- = d 4 e c==>

4w

.umm-s-. -N e --~ereeeeO - -- em Memeew M suuntDe*> N e N - eumDN Me MN M Deee gg Op p WM6 @9'

M'

--N*N"" 9 e me ausessumamese -- - e

I } g ~ 'PAGE 5 ~ OCK45 Li 'thTEcriAT CNAL LCW C 0t.T 'c CL, C i v 151 C N.,___ j) . n c, c r. n. s. o.

<c c L s" to 08/14/,75 o

5. MI C il Ayf.

607 0150 FIh1TE ELEMENT ANALYSIS 4 INCH' FIG. Ax1 AL' PRESSURE, TYPE, NODES 8 -2J9.00 1 1 7 5'O'.00 1 B 15 ~~ 2 -250.00 1 15 22 -250.0C 1 22 3_5 ~~1'2~60~0 1 31 42 ~ ~ ~400.00 1 42 43 -342 00 _1 43 53 ~ Tf2700 1 53 62 ~ 302 00 1 42 71 -286.00 1 71 8_0 ~ T 18.Do~ 1 80 95 2 -~ ~~ NODE DIRECT ICN LOAD 2'2 bT5. ' 8'T 1 } 22835. 94 1 i ~'dE F LEC T I ON NOCE CIRECTION 87 2 .0 i 94 2 .h .0 u c } 's \\ I e pW* -e emoeie MM" ~-

' ' ' * * * " ~ ' -

~ e sp.' ,,,,,,we.mm e +

~ DT ( PAGE 6 .. _s e ANC FORCES .g .COE S, ' COCRD IN AT ES. 08/14/75 '.. S. MICHAUX 1H 607 OISC FINITE ELEMENT ANALYSIS L4 INCH F IG. il O. -40. If 1 0.0 2.500 C. O. ~ 2 00 2.160 3- .0.0 1.790 0. O. _e. C. _0. 4 _O. 0 1.,4 2 0 _ 5 0.0 1.C50 0. O. 6 C.0 0.530 C. O. 0. O. 7 0.0 0.0 0.41d 27500 C. -325. -~ 9 0.410 2.160 0. O. 8 e c. O. i; 10 0.410 1.790 11 0.41C 1.420 0. O. I 12 0.410 1.050 C. O. } 13 C.410 C.530 0. O. ~~ C. O. 14 C.410 0.C g 15 0.970 2.500 0. -887. O. 16 C.970 2.,160 _0 _. 17 0.970 1 790 C. O. 18 C.970 1 420 0. O. 19 C.970 1.C50 C. O. 20 C.WO 0.530 C. O. C. O. 21 - C.970 0.C 22 1.570 2.500 0. -2077. 23 1 570 2.f60 C. O. ~ 24 1.570 1.790 0. O. 25 1.570 1.420 0. O. 26 1.570 1 050 C. O. 27 1.570 C.530 C. O. 28 1.570 0.0 0. O.' 29 2.310 0.530 0. O. 30 2.310 C.C 0. O. 31 2.550 4.500 C. -2964. ] 32 2.550

3. E30 C.

O. 33 2.550 3.390 C. O. 34 2.550 2.950 0. O. - l '7'5T. IS 2T'Ef 27500 C. 36 2.'550 2.160 'O. O. 37 2.550 1.790 C. O. f5 2.550 1.420 0. O. 39 2.55C 1.C50 C. O. C.530 0. O. 40 2.550 _ 0.C80 _ C. O. 41 2.550 '0; -5602. 42 2.850 4.500 C. -5696.. 4.3 3.500 __.3 E30. 0. O. 44 3.300 3.290 C. O. 45 3.500 2.950 ~~ 46 3.5CO 2.500 ~C. O. 47 3 300 2.160 C. O'. 40 3.b00 1.790 C. O. 49 3.500 1.420 0. O. ~~~50 3.500 1.C50 C. O. ~~ "e --M__ e e6 emd -.me mspe-. -- ewm__ m

k FAGE 7 i ~~ ~ {iCDE S, COPRDIN AT ES. AND FCFCES 08/14/75

2. 4 INCH FIG. 607 DISC FINITE ELEMENT ANALYSIS S. HICHAUX

'O. 51 3.500 0.530 C. 52 3.500 C.330 C. O. 53 4.250 ~3.830 0. -6638. 54 4.250 3.390 C. O. 55 4.250 2 950 0 O. 56 4.250 2.500 C. O. 57 4.250 2.160 0. O. 58 4.25C 1.790 0. O. ~~ 59 4.250 1.420 0. O. 60 4.250 1.C50 C. O. ~ ~ J 61 4 250 f.33U 0. O. 62 5.000 3.E30 C. -7546. J 63 5.000 3.390 0. O.

)

64 57J00 279'60 C. O.

)

f' 65 5.000 2.500 0. O. 66 5.00'0 2.160 0. O. 67 5.000 1.790 0. O. I 68 5.000 1.420 0. D. 69 5.000 1.C50 0. O. TD ~5TO0b CT73D 0. O. ~ - 71 5.790 3.E30 0. -6312. 72 5.790 3.390 C. O. ~~ 73 5.790 2.950 0. O. 74 5.790 2.500 C. O. O. 75 5.790 2.160 0. ~ 0. 76 5~790 1.T90 C. 77 5.790 1.420 C. O. 78 5.790 1.050 C. O. 79 5.790 C.940 0. O. C0 6.190 3.630 C. -5371. 6.190 3.390 0. O. 81 82 U.YG0 279sa C. O. ~ 83 6.190 2.500 C.' O. 84 6.190 2.160 0. O. 85 6.190 1.790 0. O. 86 6.190 1.420 0. O. 87 6.190 1.C50 -22635. O. ~8 8 6.5s0 f~390 0. O. 89 6.560 2.950 C. O. 0. O. 90 6.560 2.500 -0. O. 91

6. 5'o 0 '

2.'160' ~ ~ 92 6.560 1.790 0. O. C. O. 93 6.560 1.520 ~ I 94 1.5o0~~ ~17420 -2'2835. '0. 95 6.860 3.030 C. -3358. 96 6.860 3.390 0. O. '~ ~~7~ 6.660 2.950 C. OT~ 9 98 6.8e0 2.500 0. O. 99 6.860 2.160 C. O. ._.10 0~ ~ ~ ~ 6. 8 6 0 ' - ~ 1. 7 9 0 - ~~"O. ~~ 0. ge e muy a m e eMeu'mae e em _ _ G = = - -.

** h pe-ee _

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\\i l L.. -/ PAGE 8 i OCKWELL li?T 5ic ti tT I CN AL ~ L0n CCf T KCL Civ!SICN ~ 'ROGRAM NO. f4CCESR 26 ' ~ ~ ~ ~ ~ ~ 08/14/75,,i 4 INCH FIG. 607 DISC'FItJITE ELEMENT ANALYSIS S. MI C_H__A.U_X

TIFFNESS MATRIX WIOTH FROM 1 TO 32 t

e iAUSS-SEIDEL ITERATICN C ON V E R G'cN C E AT ITERATICtf NO. AND BETA l' ki ~ .15141E 100 1.79699 .38823E-06 200 1.79699 j .1'20 2 5 E - O o MO 1.79699 ~ . 29 4 2 0E -07 400 1.79699 l t TOT AL ITEFATIONS, 480 9 1 9 ? i 4 4 e e a e 4 9 3 e e 6 e M m 3 O + f e -.an6ei 9 t -- W

g 4

4 e e a e I 4M M G = - - - - - - - - - - - - - - * ~ ~ l 1

(. PAGE 9 ~ INCL 4 '08/14/75 4 INCH FIG. 607 015C'FI' "eT ' AN ALYSIS S. MIC H AUX 1 '0DAL DISPL ACEf4ENT S' ZDE UR M

1..

O._0 +.' .9 O. 0 '2 ,9 3 ,0. 0 49 4 0.0 ~ !4 9. 0.0 03 6 0.0 CJ 7

0. 0 j

o 8 -0.0000100 5 3 9 -0.0000065 4 -10 -0.000c036 ~fl -0~00000f0

4. A-53 12

-0.0000015 ~ ?3 13 0,0000051 r4 .14 0.000010i J6 .15 -0.0000211 iS 16 -0.0000151 ~ '!a ~~f7 -O.6000074

4 18

-0.0000023 3S 19- .0.0000035-20 0,0000120 73 2 ,21 0.0000225 .6 22 -0.0000341 ~ '5 ' 23 -0.0660236 e9 '24 -0.0000127 J4 25 -0.0000031 '6 26 0.0000057

c. 4 27 0.0000190

3 28 0.0000342

~ "4 ~8

0. 0 0C'U2 5'S 72 30 0.00C0450 f.1 31

-0.0001722 ~~ 57 ' ~~3 2 -b. 'O d O l'34'1 .78 33 -0.0001035 .J5 34 -0.0000829 ~ .21 ~~~3 $ -6.0000518 21 36 -0.0000534 .35_. .- - s -. 37 ...0 0 0 0 017 6. -_.-... .32 a 30 -0.0000039 >19 0.000C095 39 40. ~ 0.000027d (f0 0.0000451"~~~~ t24 ~ 42 -0.0001o38 -l ~* ~~ 7, 4 -0.0000997'" ~ i 't ? " ~ l 735 43 -0.0001218 ~ 14 ) 45 -0.0000767 J24 -"] ~ ~ ~ -- -0.00005S0 . 3 8 ~ ~~ ~ 1 46 _....,,7.. _ -c.000c3;1 ~~ ~ 4 ) -0.0000225 4 ti 'c7 -0.0000061 l 49 . 71 _,., 5 0 0.000010e, .j ~ ~ - - -~--.--.-:---- ~ n. .~ : -

E -_.L n r . a_. PAGE.10 ...FINFL' 14,_I t1C H,f,1 G. _,60 7.,01 S C,F IN I T E E L E M ENT_,A N A L Y SI S.S. _.MI C.H AU X. 08/14/75. a t 0 U N00AL DIS PL ACEMENT S 1 i ~ ^EO0E UR UZ 51' O.0000356 -C.000 2 2 53 ~~E2 0.0000455 -0.0002239 53 -0.0001258 -0.0001667 54 -0.0000985 -C.0001683 ~~6~5 -0.0000772 -6.~00'01'6'28 ~~ So -0.0000579 -C.0001657 57' -0.0000438 -0.0001711 ~~58 -0.,0000276 -0.0001732 59 -0.000C101 -C.00017 53 60 0.0000093 -0.0001768 ~~61 0.0000410 -0.0001756 62 -0.0001226 - C.00 01156 63 -0.000C973 -C.0001152 2 64 -0.0000772 -0.0001145 65 -0.0000604 -0.0001137 66 -0.0000488 -C.0001137 6"7 ~6.0000333 -0.0001152 6B -0.0000176 -0.0001103 09 0.0000049 -0.00012C7 70 0.0000268 -C.0001219 71 -0.0001146 -0.00006El 72 -0.0000923 -0.0000661 73 -0.0000736 -0.0000623 74 -0.0000584 -C.0000588 75 -0.0000498 -C.0000546 76 -0.0000423 -0.00005C4 77 -0.0000336 -0.0000451 78 -0.0000093 -0.0000538 79 0.000C030 -0.0000553 S3 -0.0001096 -0.0000473 81 -0.0000890 -0.0000456 d2 -0.0000704 - C'.' 0 0 0'0 (2 6 ~ 63 -0.0000549 -0 0000375 84 -0.0000465 -0.0000314 e5 - d'.~ 0'0 0 0 41'3 -Y~.~0000225 66 -0.00LC401 -0 0000122 57 -0.0000287 -C.0CC00C0 ~" 86 -0.0000659 -0.0000267' 89 -0.0000675 -0.0000265 90 -0.006051". -C 0000231 ] ~~ ~~~ '" '0'.'0000189 20.0000420 ~ ~ ~ 91 92 -0.00003d3 -0.000011w j 93 -0.0000405 -C.0000042 94 -0.0000474 -0.000CCCO 95 -0.0001035 -0.0000167 - 0.00 0 01 t6 ~' 96 - 0. 00C C 83 0 ' -0.0000147 ~~ 97 -0. 00)C 6 5 t: - - ~ ~ - ~ 98 -0.00004'/e -0.0000134 99 -0.0000402 - C.0 00 0129 ~~~7 ~" ~"~ 'O.0000141 100 -0.00vC355 ~ ~ ~ A -- ~ -=~~ '~~~* ~~

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a PAGE 13 j F i tM L' 08/14/75 .1.4_.,J NC H F I'G. 60 7 D I,5 C F IN I T E_E. ley E N_T_, A.N A L,Y.S I.S_ _ S. MICHAUX ELEMENT CENT ER CAT A + PRINCIPAL STP. ESSES ' 8 SYP.ESS l No. RADI.tL AXIAL HOOP SHEAR DEG INTENSITY, ~ ' 5. 7V5. -9. 795. -5. -1. 800 2 740. -16. 763. 28. 741. -17. 2. 780. 1 7 f5. ~ 3 679. -15 720. 55. 683. -19. 5. 739. 4 ~ ST5. -71. STS. 14. 3f'6. -71. "2. 3877 5 311. -67.

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259. ~49. 33, 307 33 -101. /.e 1. -9. 217. 199. -258. 54. 457 -2'42 ~~ ~4. - 19 9~. ~ 2 6 T-~ ~ 175. - 413~.~ ~ 57. 588l 35 -324. -53. -371.. 295. 136. -513. 57. 649 as 36 -355. -143. -531. 301. 70. -568. 55. 63e -'706' 283. 221. ~ 5 9 6'.~~ ' 5 0. 682 36 -373. -377. -913. 236. -139. -611. 45. 774 ~ 37 -358. - 2 5 8 '. 39 -541. -449 -1147. 183. -306. -684. 52. 864 ~ 'C. -76. 217. 17 3~. 2357 ~ 6 37 ~ ~~ 5 3 s 6 41 ~ 64 7. 15 -264. 263. 107. -739 71. 846 40 -244. 158: 42 -15S9. -104(. -920. 750. ~509. 2095. 54. ' ~ ~ ~ 77; ~0. 563. 6 - 2 5 0 7 ~ ~ ~ 3 3 5~.-~ ~~~ "216. O -372.- ~25. 152. -1051. 55. 120: ~ ~ ~ ~ 44 -647. -253. -448. S6a 101. 28. -1547. 41. 157: 45 -657. -862. -652. .. 426 ~~~"~ 2 0 2. " ~ ~ ~- 7 0 2. ~ ' 5 5. 90: _H33,-- _g7,_ - _4p,. 579. 185. -974. 46. 115' "82. . 4o et). - 7 S,7 -.... - 5 2 0. 538. 110. -1090. 32. 120; 47 -409. -380.- ~' 4 -/CA. -512. ,.,_,, 436. ,* 162. ~~ -725. 50. 88' sh; .~~';333, 50 v o. ~413.

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DE C C HIPTION E(4CfOSU RERPT NO 2573-48 " DISK VELOCITY AT j

LTR REF OUR 4-29-76 LTR.....TRANS THE 1 FOLIMING.,.... WITH SEAT FOR LINE EREAK UPSTREAM SIDE OF SIZE 14 FIGURE 607 NON-RETURN VALVE." (2) REPORT NO 2573-62,~" ENERGY A'BSORPTION IN THS SIZE '14 FIG 607 VALVE SEAT AND DISK AT, YANKEE R0WE......

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K l l } DO NOy py -.;n.; I PLANT NAME: A k E.G g SAFETY FOR ACTION /INFOR.'1ATIOS ENVIRO 5-l S i t. WK { ASSIGNED AD : T ASSICNcu AD. s _[ BRANCH CillEF t kn.PLE BFJ.!:DHCHIE[. PROJf.CT IL\\5AG2R: PR6~ JECT MANAGER. g llc. MST. : SMP P Nt,"b LIC ASST.. INTERNAL DISTRIBUTIC:1 s MQJILE d NXSJIWS SAIiCTY I DiriI._37;7tPR JNyTan -'ru M 1;RC PDR l m11]EgAtj l TEDESCO I?RNST . _M 7_ & _ E [O scinlOEDER BENAROYA BATMRD R051D ___._J.1TJ:AS SPANCLER __ l GOSSICK & STAFF ENGINEER Qq_ IPPCLITO I'llEC IBCCARY SITE '1TCli I CAS.S KMICHT OPERATI::0 REACTORS gal'J:II.L _U.WA.FE R I SIUWEIL STELLO STEN PARLESS I PAWLICK1 HULNAll ._ l i OIERATING TECH I PROJECT MA:iAGZMENT I l REACTOR SAFETY M EISENiiUT SITE ANALYSIS __j-BOYD l P. COLLII;S_ (RCSS Q Sl!AO VOLLI:ER [ } NoyAn y _..r_n_A..n g nunC;[ ~ I 110MSTON ROPZTOCZY s SCilul'!:CER [ J. COLLINS 1 ]I.3 h3.__ , M CRI!!ES KREGER ] PETERSO:i Cl!!sCK _. d llCLTEMI:S AT & I SITE SAFETY & l'.NVIRC I SKOViiOLT 1; ALTZl:AN At:ALYS T ; .- q - I I !! UTREM G 1)!:':TrP: /. intLt.En j E;; lll!N AL 1%l ltil;U l'lO!! CON illOL Nte..itE H .f. _ L1,n g_ NATL LAli HRODHilAVEN !!ATL I. Alt p M 'l l C Hl'C. V-fC ULhlEUU??(URNL) { 's L%g cc._nSic LA l'nn 1 ASui COuSortranTS N .I,.. A ci[... 6!n!v75chn:::c. s ,}}

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