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Attachment 4 LTS PRCGRAM CCNFIRFATORY ANALYSIS OF SCNGS 1 PIPING AND PIPE SUFFCRTS s | |||
M. J. Russell | |||
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Pubitshed June 1986 EG&G Idano, Inc. | |||
Idano Falls, Idaho 83415 | |||
?recared for :he U.S. Nuclear Regula:Ory Cc= mission Washington, D.C. 20555 der CCE Centrac: No. CE-AC07-75IC01570 FIN No. A6808 c | |||
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ABSTRACT A series of confirmatory piping and pipe support analyses have been performed to ensure that the criteria and methodology employed by Southern | |||
; California Edison Ccmpany (the licensee) in seismically upgrading the San Onofre Nuclear Generating Station, Unit 1 (SCNGS 1), are acceptable. Four piping systems--SI-51, SI-04, S,I-158, and a run of SI-51 tubing--were subjected to confirmatory finite element analysis. These analyses were performed to ne requirements of the USNRC Systematic Evaluation Program (SEP) guidelines and currene industry practica. In addition, the run of tubing was subjected to a confirmatcry hand calculation. Supports for the SI-51 and SI-04 systems, a total of 50 supports, were also analy ed. | |||
Results of the confirmatory finite element analyses were compared with . ;. | |||
.m those of the licensee. Results were compared for the tubing between the ' | |||
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finite element analysis and the hand calculation. The conclusion was drawn ' 21 that the criteria and methodology employed by the licensee in analyzing the piping and pipe supports of SCNGS 1 meet the requirements and are acceptable. | |||
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1 | |||
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ACKNOWLEDGMENTS This repor. is a product of the effer.s of several people. | |||
S. L. Morton wrote the first draft of the report cnd did much of the piping analysis. Much of the pipe support analysis was done by V. 3. Call and C. Edgar. 3. J. Quintana providad invaluable technical assistanca. | |||
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CCNTENTS ABSTRACT .............................................................. 11 AC KNCW LEOGM EN T S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iff | |||
: 1. INTRCOUCTION ..................................................... 1 | |||
: 2. PIPING SYSTEM DESCRIPTICN ........................................ 2 | |||
: 3. PIPING SYSTEM SEISMIC ANALYS ES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 | |||
: 4. PIPING ANALYSIS RESULT CCMPARISCNS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 | |||
: 5. PIPE SUPPCRT ANALYSIS RESULT COMPARISCNS . . . . . . . . . . . . . . . . . . . . . . . . . 13 | |||
: 6. CCNCLUSICN ....................................................... 15 | |||
: 7. REFERENCES ....................................................... | |||
16 APPENDIX A--CESCRIPTICN CF CCMPUTER CCOE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A-1 APPENDIX B--MICROFICHE OF COMPUTER CUTPUT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-1 APPENDIX C--SMALL-50RE PIPING RAND CALCULATICN . . . . . . . . . . . . . . . . . . . . . . . . C-1 APPENDIX 0--PIPING SUPPORT CALCULATICNS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0-1 w | |||
. 2r | |||
=a FIGURES | |||
: 1. Isometric o f the SI-51 ccmputer medel . . . . . . . . . . . . . . . . . . . . . . . . . . 17 | |||
- iifs | |||
'T 2-6. Partial i semetric of the SI-51 ccmouter medel . . . . . . . . . . . . . . . . . 18-22 | |||
: 7. Isemetric cf the SI-04 ccmouter medel .......................... 23 8-9. Partial i semetric of the SI-04 cceputer medel . . . . . . . . . . . . . . . . . 24-25 | |||
: 10. Isemetric of the SI-153 c mputer medel . . . . . . . . . . . . . . . . . . . . . . . . . 26 11-13. Parti al 1 semetric of the SI-158 computer model . . . . . . . . . . . . . . . . 27-29 | |||
: 14. Isometric of the SI-51 tubing c:mputer mecel ..............,..... 30 | |||
: 15. Partial is: metric of the SI-51 tubing model .................... 31 | |||
: 16. North-Scuth response spectrum for SI-51 . . . . . . . . . . . . . . . . . . . . . . . . 32 | |||
: 17. Vertical respense spectrum fer SI-51 .................... ...... 33 | |||
: 13. Ea st-We st re spon s e s:ectrum fo r SI-51 . . . . . . . . . . . . . . . . . . . . . . . . . . 34 iv | |||
: 19. North-Scuth response spectrum for SI-04 . . . . . . . . . . . . . . . . . . . . . . . . . . 35 | |||
~ | |||
: 20. Ver:f cal response spectrum for SI-04 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 | |||
: 21. East-West response spectrum for SI-04 ............................ 37 j | |||
: 22. No rth-South response spectrum for SI-158 . . . . . . . . . . . . . . . . . . . . . . . . . 38 | |||
: 23. Ve rtical response s;ectrum for SI-158 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 | |||
: 24. East-West response spectrum for SI-158 ........................... 40 | |||
: 25. North-Scuth respense scectrum for SI-51 tubing . . . . . . . . . . . . . . . . . . . 41 | |||
: 26. Ve rti cal re sponse spectrum for SI-51 tubi ng . . . . . . . . . . . . . . . . . . . . . . 42 | |||
: 27. East-We st respon se spectrum' fo r SI-51 tubing . . . . . . . . . . . . . . . . . . . . . 43 l | |||
l TABLES l | |||
i > | |||
l 1. Pipe data and material specifications--SIS problem SI-51. . . . . . . . . 44 | |||
: 2. Pipe cata and matarial saecifications--SIS problem SI-04 ......... 45 | |||
: 3. Pipe data and material speci fications--SIS problem SI-158 . . . . . . . . ?6 | |||
: 4. Pipe data and material specifications--SIS preblem SI-51 s tubing ........................................................... 47 | |||
, pg | |||
: 5. ~ .w, Pipe system valve descr_iptions ................................... | |||
48 134 | |||
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: 6. Summary of first ten natural frequencies and vibration--SIS model 51-51 .................. periods of . %i | |||
. . . . . . . . . . . . . . . . . . - . . 49 - | |||
, 7. Summary of first ten natural frecuencies and perieds of vibrati:n--SIS mecel SI-04 ....................................... 50 | |||
: 8. Summary of first ten natural frequencies and vibratt en--SIS mccel SI-158 . . . . . . . . . . . . . . . . .pe ri eds o f | |||
..................... 51 | |||
: 9. Summary of first ten natural frequencies and pert:ds of vibratten--SIS medel SI-51 tubing ................................ 52 1 | |||
: 10. Compari sen o f stres s re sul ts for SI-51 . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 | |||
: 11. Comparisen of stress results for SI-01 ........................... 54 | |||
: 12. Cemoarison of stress results for SI-158 .........,................ 55 13. | |||
Cemaari sen of stress ratic results for SI-51 sucecr s . . . . . . . . . . . . 56 | |||
: 14. Com;ari sen of stress ratio resul ts for SI-153 sum: orts . . . . . . . . . . 57 y | |||
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l LTS PRCGRAM CCNFIR.*ATCRY ANALYSIS OF SCNGS 1 PIPING AND PIPE SUPPORTS | |||
: 1. INTRCCUCTION A confirmatory analysis of the piping and supports at the San Onofre Nuclear Generating Statien Unit 1 (SCNGS 1) was requested by the Nuclear Regulatory Commission (NRC). This analysis was performed in an effort to verify a portion of the SCNGS 1 Long Ters Service Seismic Reevaluation Program,' (Reference 1) specifically, the analysis techniques utilized by the SCNGS 1 piping and support analysts for the LTS Prcgram. Three Safety Injection System (SIS) piping medels and one SIS tubing medel were selected to represent the wide variety of pipe si:es incorporated in the plant. The | |||
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four pipe sections chosen for detailed examination were SI-51, SI-04, SI-158, and SI-51 (tubing). Empnasis was placed en modeling tecnniques, accuracy, leading cenditions, and pipe and support stresses. This report summari:es the ccnfirmatory analyses performed on the four mecels and associated supports. It also provides a ccmparison of results for the | |||
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analyses done by EG&G ani ay the licensee, Southern California Edison Co. ;i | |||
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: a. Hereafter referred to as tne LTS Prcgram. | |||
1 | |||
s | |||
: 2. pIPfNGSYSTEMCESCRIPTION Information pertaining to the details of these piping systems was provided by the ifcensee. Much of it was verified by independent line walkdowns by the author. The information provided contained the latest as-built pipe dimensions, pipe specifications, valve weights, response spectra, seismic and thermal anchor movements, detailed pipe support drawings, and other miscellaneous data required to perform the independent piping analyses. | |||
SIS problem SI-51 includes' the piping between feedwater pumps RS-G-3A and P4S-G-SS and the six-inch branch piping fr:m this line to the containment sphere. Figures 1 through 6 are c:mputer model plots defining problem SI-51. The non-safety rel.m d piping included in this analysis, shown in these c:m: uter plots, was provided to include its effects on the safety related piping. SIS pr:blem SI-04 includes the piaing between pump SIS-G-50A and feecwater pump WS-G-3A. C:mputer cocal plots, Figures 7 through 9, describe the pr:blem in more detail. SIS problem SI-153, seen in Figures 10 through 13, is a small model which incluces six-inch piping from the containment sphere penetration B-la to the cold leg of reactor j | |||
coolant loop C. Finally, tubing problem SI-51 is defined in Figures la and f | |||
' Rfe 15 The tubing runs from flow trantmitier SIS- F-912 to valve ^'" | |||
870E-3/4"-T57 (on the SI-51 piping). , | |||
Tacles 1 througn a lis: the significant pi;:e cata and material s:ecifications utilized in the analyses cescribed in this su. unary. Cesign and service conditions are also included in these tables. | |||
Various service levels were analy:ed. This included deadweight, pressure, thermal expansion, thermal ancnor movements, and the inertial and ancnor motions due to the 0.67' g modified Housner res;:ense spectra earthquake. These analyses were ;erformed uttiiring the ASME Code Class 2 rules (Reference 2) as specified by the SEP Guidelines (Reference 3) and c:mearec to the stresses calculated by tne licensee. | |||
2 | |||
: 3. PIPING SYSTEM SEISMIC ANALYSES All four finite element analyses were performed using the program . | |||
NUPIPE-II, a proprietary program developed by Quadrex Corporation. | |||
NUPIPE-II capabilities are briefly described in Appendix A. Idaho National Engineering Laboratory (INEL) pregram medule V4AGINL was utilized for these analyses. | |||
The piping system data, drawings, and response spectra necessary for these analyses w' era provided by the licensee. Th'e fcilewing assumptions based on experience and engineering judg=ent were employed where - | |||
information was missing or inccmplete: | |||
: 1. All components meet the. dimensional requirements of the standards listed in Tacle NC-3132-1 of the ASME Code. | |||
: 2. The requirements of the ASME Code, Section III, Sucarticle NC-3640 are satisfied. This subarticle deals with ensuring adequate wall thickness of the compenents for :ne Cesign Pressure at the Design Temperature. Since the change in de, sign .. | |||
. 3 ,,, | |||
. requirements involves the seismic lead case only and pressurs _ 50: | |||
' n ey stress has been included in the seismic analyses, an explicit ' iEt . | |||
check fa,r adequate wall thickness was deemed unnecessary. | |||
: 3. The only thermal mode assumed was the normal cperating mece. | |||
A summary of weign and center of gravity information for all valves on the four safety injection piping,models is contained in Table 5. This table also includes the face-to-face dimension for each of the valves. | |||
s The four medels were anaTy:ed.for weight, thermal expansien plus thermal anchor movements, earthquake, and seismic anchor motien (SAM) leads. All were analy:ec in accorcance with the SEP Guidelines (Referenca 3). Details of the analyses not. specified in this document were in accorc with standard EG&G piping analysis cractice. These details were 3 | |||
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N at a level not controlled explicitly by the regula: cry process. There is one exceptien to this. EG&G SAM lead generatien me:hedology involves - | |||
envelopment of structural motion displacements in :he area of the support to cbtain SAM values. These are then applied individually, with the results ccmbined by square root of the sum of the squares (SRSS) combinatten. Preliminary result ecmparisons shewed significant differences between EG&G and utility SAM stresses. This initiated an investigatten to identify the source of the differences. A differen: SAM load generation methodology is used by the licensee. SAM values are cbtained by interpolation between apprcpriate structural =ction displacements, with either algebraic er absolute value ecmoination of leadings depending en the location and direction of the su ports. The basis for this me hedology was evaluated, and it was found acceptable. There are a sufficient number of points on the structural steel medel with asscciated SAM data c allcw interpolation for support point attachmen SAMs. Algebraic ccmbination of specified directions and locations is based en a study of the motion of the buildings wnich cencluced that these particular directions and loca:1cns move in phase. Absolute summatica of the remainder is conservative. The licensee's methcdology was adepted in the EG&G analyses in order to prevent the potential masking of other sources of discrepancy. a.;. | |||
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m Art additional analysis was done for the SI-51' tubing model. The A@s | |||
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seccnd analysis of the SI-51 tubing was done according to the alternate calculation methcdology allowed by the licensee's s=all-bore piping cri te ri a. This =ethodolcgy was fcund to predeminate in :ne smali-Ocre piping calculations accited. It censists of an equivalen; static analysis based en a simply succorted beam calculation. | |||
PVRC damping spectra ebtained frem the licensee's structural analyses were appropriately enveloped for eacn particular piping mcdel and used for the earthquake icad case in these analyses. inese enveicoed response scectra curves are shewn in Figures 16 through 27. The scectra were l | |||
i applied in all three directions simultaneously and the results were , | |||
i combined using the square-rco: sum of the scuares (SRSS) me hed. All seismic anchor movements were a clied and com:ined using ne li,:ensee's me:hecology, as ciscussed acove. | |||
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Microfiche c: pies of the finite element analyses are contained in | |||
- Appendix 3. The small-bers piping hand calculatten is c:ntained in Appendix C. . | |||
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: 4. PIPING ANALYSIS RESULT COMPARISCNS The piping finite element analyses were perfor:ed per the requirements of the SEP guicelines and the ASME Class 2 equations specified there. The results ebtained frem the loadings previously described were used to calculate the piping stresses. The small-bore piping hand calculation was performed using the methodology found to predeminate in the audits of small-bere piping calculations. Allowable stresses, cer the SEP - | |||
t guidelines, were 2.4Sh for the equivalent of Class 2 piping and 1.3Sh for ; | |||
the equivalent of Class 1 piping. Except for a small length of pipe near the reactor coolan: Icop' the piping analy:ed is the equivalent of Class 2 piping. | |||
Althougn calculated stresses ,were ccmpared to allowable stresses, the [ | |||
focus of this work was a comparison of stresses as calculated by EG&G and tne ifcensee to ensure that the stress calcula: fen criteria and methedolcgy , | |||
empicyed by tne licensee is acceptable. Scme differences in mathecology i were fcund. Different techniques were initially used to ecmbine seismic | |||
* anchor me:f on (SM) Icads. This is discussed in detail in Section 3 of this report. The licensee's technique was found acceptable and adoptec in ~k the EG&G analyses to prevent the differences in this mothedology frcm jys L masking any other differences which may have existed. Other differences in 'N mathedology wers fcund. This includes differences in valve and reducer el i | |||
medeling techniques and anchor point stiffness calculations. These are discussed in the folicwing ;aragra;:ns. { | |||
t As is ccmmen industry practica, all mcces of vibratien with natural frequencies under 33 H: were included in the cynamic analyses. The effects ; | |||
of the higner frequency modes, the " missing mass effect" were autcmatically , | |||
inclucec in the results by :ne NUPIPE-II program. Tacles 5 through 9 snew the first ten modes of vibration for each of the piping models. The S!-51 medel was calculated to have 52 natural frequencies below 33 H: with red hangers mecelec rigidly and 50 without red hangers. The SI-OL medel , | |||
displayed A2 natural frecuencies under 33 H: with rigid red hangers and i I | |||
i 6 | |||
l 1 | |||
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43 without red hangers. The SI-158 medel, which has no red hangers, had 13 natural frequencies under 33 H:. The SI-51 tubing medel exhibited 17 natural frequencies belcw 33 Hz. - | |||
Comparisens of stress results are presented in Tables 10 through 13. | |||
The first column of each table identifies the EG&G nede po'nt and the itcensee's data point at which stresses are c:mpared. The EG&G nede point (the first numcer) can be used to locate the point under c:nsideration in the picts of the medals (Figures 1 through 15). The next two columns identify the type of c:mpenent being analyzed and its associated stress intensificatien facter (SIF). The remaining six columns are divided into two sets, one for the seismic inertia plus normal operating load (SI) stress, and one for the seismic ancher motion lead (SAM) stress. This separation allcwed a clear identificatien of the source of any differences in stress results. There are three columns for each type cf stress. The first is for stresses frem the EG&G analysis, the second for the licensee's stresses, and tne third for tne percent difference between the two sets of results, with the average value used listed in the percentage column header. This type of ccmparisen was chosen because it emphasi:ed the most significant differences, those in the, areas of maximum stress, and because ,j it allows a c:mparisen of results among the aedels. | |||
l Stress results comparisens were limited to points in the models with " | |||
SIF greater than 1.0, and at support points in the straight runs of piping, since these represent 1ccal stress maxima. Due to the large si:e of the SI-51 medel, s ress results were c:mcared only in areas of maximum stress, which were found to be in the same areas of.the mecel in both sets of results. These areas were found in the vicinity of both feedwater pump no::les and in the vicinity of the branch point for the west side 6-in, line running to containment'. Stress result comparisons were presented for all of the SI-04 medel except for nodes 5 through 60 and those nedes associated with boundary c ndition piping (ncn-safety related), wnere the c mparison yielded icentical trends to tncse preseniied. All stress result c:mparisons are presented for the SI-158 medel . i l | |||
l 7 | |||
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. i Ccmparisen of stress results for the SI-El analyses shows close agreement (see Tacle 10). The EG&G stresses are based en as-built data and stancard practice at EG&G with the following exceptiens. The red hanger support at nede 145 (Figure 3) was given full credit for vertical sucpert. | |||
Although not in agreement with the as-built conditten, this reflects the licensee's decision to upgrade the red hanger to a full vertical support (typically done by adding a bumper near the red hanger to restrain uplift of the piping). This mcdificaticn to EG&G's SI-El medel was done to cctain an identical support configuration with the licensee's mecel. A two element rsducer medel was used in the EG&G analysis, each element having the section properties of the attached piping. This is in contrast with standard EG&G practice, which is to use a single element with the section properties of the smaller of the attached pipes, and to increase the stress on the large end of the reducer to. reflect the larger pressure stress there. This practiqe is known to be everly conservative, and the refined two element medel is used at EG&G in cases where the standard medel indicates an overstress. | |||
There were also instances of EG&G commen practice ef fferent frcs :ne licensee's which were not changed. In EG&G common practice, ancher , . Jk stiffness is based on the associated pipe section properties, while the .?j-licensee uses a single fixed value. These are the default precedures found . . ~ - | |||
~'i' in the two computer analysis codes used. EG&G valve element stiffnesses ' | |||
are based on a factored stiffness for the equivalent piping element, while the licensee's are based en the asscciated pi:e element with a tecoled wall thickness. Vaive masses are cistributec cifferently, although the center of gravity of the valve and total mass are the same. EG&G uses a single mass for both the valve body and the operator; the licensee uses a separate mass for each. Since the valve medels are included only to simulate the effect of the valves on the piping, tnese differences are negligible. | |||
I Centerline offsets for axial supcorts are medeled by EG&G but not by the licensee. | |||
! 3 l | |||
Differences in common practice between EG&G and the Itcensee had no significant effect en the stress results, as indicated in Table 10. | |||
Extremely close agreement was obtaine.d, with the maximum difference appearing in the area of tee cceponents. These differences are attributed to the accumulation of the differences in stiffness along each portion of the piping that terminates at .the tee. | |||
The results of the SI-04 analyses did not c mpara as favorably as those for the SI-51 analyses (see Table 11). The EG&G medel was strictly as-built. This resulted in two differences between EG&G's and the licensee's medels. The vertical support at ncce 265 (Figure 9) in the EG&G model was located at the position corresponding to acde 250 in the licensee's model. The reducer between nedes 325 and 340 of the EG&G medel was medeled as 14 in. long in the ,EG&G medel, anc 7 in. Icng in the licensee's medel. In both cases, the EG&G medel was closer to the as-built c:nfiguratten, but both variations in the licensee's :cdels were within IE Bulletin 79-14 tolerances. The same differences in common practice found in the SI-51 medals were also found. Reducer medel refinements made in EG&G's SI-51 analysis were not made in the SI-04 analysis. | |||
,. : _gy Since the differences in stress results for the SI-04 analyses were ,3}T; larger than those for the SI-51 analyses, an attempt was made to isolate '!.? | |||
, the cause. The EG&G SI-04 model was modified to duplicate the licensee's - | |||
support c:nfiguration, valve and reducer medels, and anchor stiffnesses. | |||
Stress results fr:m analysis of the mcdified model were c:= cared witn no improvement seen. The location of stress variation was different, but the degree and numcer of variations were the same. The models were closely comparec and fcund to be as near to identical as could be obtained using different analysis c:mputer codes. " | |||
s The source of differences in stress results was found in a contrast between the SI and SAM stress c:maarisons for the SI-04 analyses. The agreement in stresses is much better for the SAN load. This indicates that-the discr.epancies affect the dynamic analyses more strongly than the static aralyses. Differences in SAM stress greater than 10% =ccur only in l | |||
l 9 | |||
L | |||
'. *k | |||
- reducers and elbews. This is not anc=alcus for the reducers, wnich are medeled differently, but it indicates that eibcw element stiffness . | |||
formulattens differ slightly. The effect of this small variation is negligible for the static (SAM) analyses, but can be significant in the dynamic (SI) stress results. Such variations would have little effect en the calculation of the icwer frequency medes of vibration, wnich are more accurately defined than the higher frequency medes in dynamic analysis. | |||
This characteristic makes the effect of minor variations in elbcw stiffness en stress results dependent en the frequency centen of the respense spectra used in the dynamic analysis. Response spectra with relatively more excitatien in the icw frequencies, such as the SI-51 spectra, generate resultant stresses with larger contribution frem the icw frequency medes. | |||
The effects of the elbew stiffness variatien are attenuated, and the stresses ccmpare closely. The SI-04 spectra, having relatively less icw frequency excitation, generate resultant stresses with relatively mere contribu:fon frem the higher frequency medes. The effect of the elbcw stiffness variatica is emphasi:ed, and the stress ecmcarison is less , | |||
favorable. | |||
The existence of small variations in albcw stiffness formulation is - | |||
not particularly harmful in seismic analysis, because the effects of the 't ; | |||
variatien are concentrated in the calculation of the higher frequency | |||
.~[. | |||
response. Seismic events are essentially Icw frequency events, a result of the fa:t that high frequency metica is racidly attenuated in transmission tarcugn :ne ground. Large seismic stresses are therefere assccia ec with 1 | |||
icw frecuency respense, wnere the variatien in elbow stiffness is nc: | |||
i significant. This can be seen in a c:mcarison between the maximum stresses calculated in the SI-51 and SI-04 analyses. The average maximum SI-51 analysis stress, which is in the range of :he SEP guicelines allowaaie l stress, is 2.6 times larger : nan tne SI-04 average maximum stress. | |||
A cemearisen of stresses for the SI-153 analyses are presentad in Table 12. Goed agreement is incicatec. These results ccmolimen :ne conclusiens drawn in :ne discussien of :he SI-51 and SI-Ci resul s. | |||
10 l | |||
l l | |||
e | |||
* For an overall comparison, the differences in stress for all entries of Tables 10 through 13 were averaged for the seismic inertia and SAM | |||
, stresses._ Cn the average,, EG&G seismic inertia stresses were 1:0 ksi higher, and the SAM stresses differed by less than 0.1 ksi. The difference in seismic inertia stress can be attributed to differences in spectral definition. EG&G spectra were limitad to 30 points, while the licensee's spectra contained 160 points. In performing the reductiun, envelopment criteria were imposed, which would result in a marginally higher stress calculated using the reduced spectra. | |||
A comparison between finite element calculated stresses and allowable stresses showed the EG&G analyses and the licensee's analyses to be in exact agreement in terms of a conclusion of adequacy. SI-04 and SI-158 are acceptable with good margin. 5,I-51 had two components with stresses that exceeded allowable stresses. Both were reducers located on the discharge side of the feedwater pumps. This indicates that the licensee's criteria and methodology produce comparable results to those of the SEP guidelines. | |||
Supports have been added to the SI-51 piping to reduce stresses to acceptable levels. , | |||
Sb~ | |||
3 =9? | |||
A comparison between stresses calculated for the SI-51 tubing model- 7{.}z}{pj using finite element analysis and hand calculations showed the hand | |||
(](j calculation to be conservative. The maximum finite element analysis stress TJ was 14.5 ksi, versus a hand calculated maximum stress of 71.8 ksi. | |||
According to the hand calculation, the tubing is severely overloadec. | |||
According to the finite element analysis (which is more accurate, and hence controls the conclusion concerning adequacy of the tubing), the tuoing is acceptable to the SE? guideline limits with large margin. | |||
s Based on the detailed comparison of the results of three piping system finite element analyses, the criteria and methodology used by the licensee in analyzing piping were found to be in keeping with the SEP guidelines and current industry practice and are acceptable. The comparison of the confirmatory finite element analysis for the tuoing with the confirmatory 11 | |||
hand calculation showed the hand calculatien *-* ke | |||
- enserva.4.ve and acceptable. | |||
r r | |||
e O | |||
t | |||
-,e'.* | |||
S | |||
* 'm %e | |||
* e$ | |||
' ?k -c o | |||
12 | |||
: 5. PIPE SUPPORT ANALYSIS RESULT CCMPARISCNS Pipe support analyses were performed per the requirements of the SEP guidelines and current' industry practica. Hand calculatiens were predominately used. Nominal stresses were calculated based on the loads supplied by the confir=atory piping analyses and ncminal member section prope rties. Loads on catalog c mpenents were c mpared to vendor supplied allcwable loads. Catailed finite element stress analyses were used in ca'ses not amenable to hand calculation. Weight and thermal loads were considered for normal operating leads. Thermal 1 cads were included only if they increased the resultant stress. Seismic inertia and seismic anchor motion loads were ccmbined by the square root of the sum of the squares mothed, and then added and subtracted to the normal operating loads to obtain the range of loads used in, calculating the seismic stress. In cases where the support gecmetry or leading was too c:mplex for hand analysis, detailed finite element stress analyses were performed. The resulting stresses were c:mpared to allcwable stresses definec in the SEP guicelines. | |||
All supports en safety related piping of the SI-51 and SI-04 medals were analyzed. Since this led to the analysis of some 50 supports, 5, | |||
analyses of the SI-04 supports were not performed. The analyses are qr; | |||
~ | |||
a contained in Appendix 0. The supports for the SI-51 and SI-153 piping were 1 then ranked according to decreasing stress ratio. The stress ratio for a support is defined to be the maximum ratio of calculated to allowable stress fer all c:mpenents of the u:: rt. Hence tne su: cert with the hignest stress ratio is the most hignly leaded relative to its allcwable load. The licensee was requested to similarly rank the su:perts of both systems 'and to identify the su ports with the largest stress ratio. For each piping system, the five supports with the largest stress ratio according to the EG&G analyses and the five according to tne ifcensee's analyses were merged into a list. The lists were reviewed and fcunc to centain a representative sample of the types of ccmconents f0und in pipe supports. The calculations supporting the stress ratios ac; earing en both lists were tnen subjected to a cetailed comparisen. The :urcose of the c:moarisen was to determine if tne criteria = c me:necology apolied :y the licensee mere accectacle. | |||
13 i | |||
l _ | |||
Results of the ce=:arison between supper calcula: fens are p-esented for the SI-51 piping supports in Table 13, and for the SI-158 su: ports in Table 14. Several differences in stress ratio were fcund, as indicated and discussed in the tables. No application of unacceptable criteria or methodology was found. Supports identified as overloaded by the EG&G analysis had either been forwarded to the support design group for modification, or shewn to be acceptable by analysis of an improved support configuration. As noted in Section 4 of this report, supports were acded to the SI'-51 piping to reduce loads on the feedwater pump no::les. Leads used in the licensee's support analyses were taken frem the analysis of the piping with the improved support configuration. In scme cases, the presence of added suoports reduced loads on nearby supports, so that sc e of the supports identified as unacceptable in the EG1G analysis were shown acceptable under the reduced lead,ing in the licensee's analysis. | |||
Cased on detailed cc=parison of the results of la supporting analyses, the critaria and me:nedolcgy used by the licensee in analyzing pipe supports were shewn to be in keeping with the SE.0 guidelines and curren: | |||
industry practice and are acceptaole. | |||
mn | |||
'.'7jhh, u | |||
U | |||
P .: | |||
: 6. CCNCLUSION Four confirmatory finite element analyses and one conf 4rmatory hand calculation were performed for piping systems. Pipe supports of two of the systems were subjected to confirmatory analysis. Results of the confirmatory analyses were compared to corresponding results of the licensee's analyses. The confirmatory hand calculation results were compared to the results of a confirmatory finite element analysis. Based on the comparisons, the licensee's criteria and methodologies for analy:ing piping and pipe supports were found in keeping with the SEP guidelines and current industry practice and are acceptable. | |||
d to N.h | |||
:&.n A | |||
15 | |||
: 7. REFERENCES | |||
: 1. Letter, H. Thompson (NRC) to K. Easkin (SCE), dated Septemoer 19, 1985,Suoject: Long Term Service (LTS) Seismic Criteria and Methodology - San Onofre Nuclear Generating Station, Unit 1. | |||
: 2. American Society of Mechanical Engineers, ASME Boiler and Pressure Vessel Code, 3ection III, Division 1, " Nuclear ?cwer Plant Components," Subsection NC, 1980 Edition, Winter 1980 Addenda. | |||
: 3. Letter, W. Paulson (NRC) to R. Cettch (SCE), dated September 20, 1982, | |||
==Subject:== | |||
SEP Toeic III-6, Seismic Design Considerations, Staff Guidelines for Seismic Evaluation Criteria for the SE? Grouc II Plants | |||
- Revision 1. | |||
*8 , | |||
. ~: | |||
lFi 15 | |||
SCNGS l St-61 AN ALYS I S. ( INDPliT. Illit l Z . S' fillP I P E NATilEMATICAL N!D El. IV I.e3 , | |||
**LEGENDe* - | |||
/ - neot LocatsuN o - wassP.lHT LeCalista 4M- e r a l N(.' Sla His E N , | |||
B O- - squesua O 3-l - messu surreur 4 *" | |||
_ g - aucues g , , , u.,,, | |||
+ ... ... , | |||
../ > - ., .,. ..., | |||
. ..Q. .,"... ,, ...'" '" ,,. , , , "" lii -G-'t- aua-- | |||
,,.f- . | |||
... . - - valve v ... | |||
. ,a . | |||
ff,. | |||
e,( '% ,, 'a .M'f. ,, | |||
f . .; , | |||
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m | |||
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2 | |||
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C, ... | |||
... menars.w aneur v.. sis . . . . oss. | |||
A-3 FLANE TILI . 4s cas. | |||
ste . i ' | |||
- . + | |||
Il[11. . . , | |||
:g..,b... | |||
,. s"!w,... ... | |||
.~ , | |||
n .* | |||
i . saa t4 ,s ... | |||
w.~ | |||
ne p\1 7 i n'"y,.*_ s Figure 1. Isometric of the SI-51 computer model. | |||
e fil( A HL ti d . 3.00 80/08/06. | |||
g *W | |||
,i[ | |||
.* .~ ? ' | |||
* S E14 G 3 i SI-61 A N A R.Y S I S tlHDPNT. ll18f 12. S 14UPIPE N A Tile N A T I C A1. H E D E R. IV l.83 | |||
,,l** *** | |||
* | |||
* t. E G E N D e * | |||
/ - Neos LecaissN O - | |||
NAStrd8NT LeCATIDN | |||
, WM- sralNG laatlGE N 61 3 - suussuu al messo surreal | |||
- h - ANCHWN see X - ELASid JelNF | |||
,g. - PLExfuLE A caCit G B . | |||
saam - VALVE Continued on figure 3 | |||
, ,g | |||
.e t | |||
e" | |||
% .. / .. | |||
~ | |||
, x W . e,, 9 '' | |||
.e .. | |||
U , , | |||
I hetAil0N ASSUI V* AMIS e 48.4 DE4. | |||
. M-2 FLANE TILT | |||
* 44 DtG. | |||
a s | |||
.. '1" - | |||
,,O ' | |||
feedwater Pump G-3A ' ' | |||
discharge nozzle ' C' l , | |||
QI . | |||
= , , | |||
Non-sa fety related figure 2. Partial isometric of the SI-51 computer model. | |||
l. | |||
IitAHL Nd. 4.00 40/04/00. .. | |||
t I .. , . . | |||
,e e n. | |||
N Us U UW(3) U:i i!I ' t 9 tila t*ll 8 . Iluli I .* . .fi Hill | |||
* ll*lt flAllll:H A l lC Al. H es tel 1. | |||
, 8V a.06 | |||
, e e l 1.4,1 flis * * * | |||
/ - esent e.seateen 0 - masEre allf, 8 St a180s0 f , , | |||
. .l M - srussm esasse.s e 4i :3 ..suummein | |||
.l . l '- -asash surrert | |||
-- si.E.en ' | |||
* - k L a s 3 e, 'a9 s elv | |||
-{j - re.Eusssts 'aucssou aa - - vaLvg ,. | |||
Y e s. | |||
ene fee ga X | |||
~ 6e to ese | |||
. posar sess amoul T auss . .s.e sau c. | |||
M*2 PLaus IILI | |||
* 46 s4 G . | |||
r e ** | |||
continued on | |||
. Figure 2 | |||
; continued on Figure 4 I | |||
Figure 3. Partial isometric df the SI-51 computer model. ' | |||
8 St a Hl: 14 0 , ts . U U 50/01/06. . | |||
l | |||
* ! ). s | |||
..w; . | |||
t { I .f e | |||
. ;;/ r Q | |||
.. . "M/ 4 . . ' | |||
SENGS I S l | |||
* 61 ANAL.YSIS 4 I Hill | |||
* N T .' fleit I Z , 5 HUP !Pli 88 4 TilliM A f l C Al. MIDtil. IV l.48 | |||
. e L E GE14 D * * | |||
/ - Neos ascailen O - NASGreINI LDCA11eN et M - StalHG Is&N6Lu 8g .J. . suumeau en -l - miets* surrear | |||
-[i . uaucnen i | |||
Continued on Figure 5 ,,,n, | |||
'" -:{ nanasta aNcissa n.a_4 - VALVE Y | |||
Z *X sss - | |||
o . | |||
eee | |||
* movarseN assul T.anas a 46.4 pkG. | |||
X-I FL aseE TILI e 4h 8asie . | |||
i I | |||
Continued on Figure 3 Figure 4. Partial isometric of tiie SI-51 cwputer model. . . | |||
p It a N ti ti d , e.00 80/01/00 | |||
.. . - - . . . - - - - - =* | |||
. 'h 1.*,' g; , | |||
. DrOD9. O ' ~ | |||
14UPIPE NATilENATICAL MODEL 8V 3.el , | |||
**LEGEN'D*= ** | |||
/ - | |||
NGOs LSCaTION e 6 | |||
0 - | |||
MAGEPSIN' LOC AfleN 4M- SPRIMt II ANG E S | |||
* FQ- - .Mususa 4-l - assio surreni | |||
-[j - ANC6898 Jg( - staste JosNr | |||
-g - rissents asacuse Containment ,,, - - vatve penetrations ... | |||
N Continued on | |||
... . Figure 4 y | |||
. '" 'Yee ... | |||
Z X m ... | |||
~ '.1 e.vars.N a .., v.4mi. . .... os . | |||
** x-a etaNe i:Lv one. | |||
aie | |||
.. . 4. | |||
'".. .g, | |||
.. . .a N.. | |||
Continued on e Figure 6 Figure S. Partial isometric of the SI-51 computer model. | |||
4 oesossoa. | |||
ensue ve. i.co I | |||
4 W | |||
/ e 4 ? .; : . ., , | |||
, . , ,e , ,.m . | |||
l d-Q *[. I, | |||
sIHas i sl-s i A::A1.YSIS IINDPHT. HYR12. S | |||
[ Continued on NUPIPE K A Tile N A T I C Al. H!DE l. 4Y a ..S 3 l 7* .. | |||
Figure S ' | |||
.. ** LEGEND ** | |||
... e - n au tocation . | |||
y ... | |||
. o - waearesur tecavii.a | |||
.~ .n +v- - erunus ususnu i . f4 | |||
* t 1-l a - - suumees * | |||
=8-l== R8810 surrent | |||
.a .-[=; - Aucusa | |||
''- M | |||
* ELASIS 498HT | |||
. e. | |||
h._ | |||
= rLEMIuta ANCHess m + ' VALVE | |||
' Y I . | |||
-[1'11 . . . , | |||
Z X 14 . > | |||
io ... . | |||
> . SSIAIlON AIB OU T V-AXIS . 45.4 DEG. | |||
/ ' *x ... m.: ro.us iets . .. i.a c . | |||
i "* | |||
) | |||
=g ' s .. I L? *J r. | |||
: n. ... 1 | |||
.) *a Non-sa fety - | |||
I | |||
\l$l\l':. .. | |||
en related * , | |||
8 ... /-., ... | |||
s ... ... | |||
":s Lt..s d i | |||
.1:, .a p ~ | |||
9 .il8* %, , *... . . " . ' I Feedwater pusip G-33 discliarge Figure 6. Partial isometric of the SI-51 conputer Inodel. | |||
l'uANk fas . 2.00 40/08/06. ,,- | |||
,, ,. o ; - ,. - i T,' , | |||
. . l | |||
( 'f' [ | |||
'e ','. | |||
- g- - - | |||
f jl. | |||
, Safety injection purp nue n's natusHAT s cas. wrout. av 3.ca , | |||
,- L;, < > | |||
G-SA discharge nozzle | |||
' .J | |||
.l * | |||
, se - | |||
= = 1. E G IC H il . * | |||
, ,I '.. / - M80E LUC AT i ell f, / . | |||
* o - | |||
maser.iur t casi. | |||
g ' , | |||
.. wwv-- ermin. usur.6 - | |||
)j .. . | |||
C- - suumous t | |||
3 anoso surrent i j, ,, | |||
- @ - aucuen m ...,e. | |||
, - u.... a...: | |||
j.1 - g - resussta aucusa (A su m - vatve 4) c. | |||
hf' , | |||
878. | |||
.j sa rl. i .;.5 Y | |||
.r .w gi ... | |||
S . ia ; | |||
.r: | |||
... 1 . | |||
'a 3 s. aa. s z x rl4 la | |||
~ | |||
w k " ;. | |||
. assarieu aneur v-4ssa . 4s.4 oss. | |||
Q | |||
.a. | |||
1 | |||
,,f, x-3 roans vstr .a onc. | |||
S , | |||
.I ... | |||
+T i s-j{h *u. ts$ J,,,,. ..... | |||
g | |||
% e '8 yhtl h, M''j. . | |||
e ... | |||
1 | |||
/ *~ | |||
q Figure 7. Isometric of the SI-04 computer model. | |||
i | |||
.r N | |||
r7 .!.2' .h . | |||
: f. .. | |||
*;s h . | |||
...e.-_-- | |||
EENSSI SAFETY INJECTIEil8 SYSTiiN 31-01 W I 21UP i t'ai N A TilEN A T I C Al. MtDEl. IV 3.83 Safety injection pump ==t.EGEHD=. | |||
I, G-SA discharge nozzle e - u.ou Lecais.= , . | |||
) . | |||
o - mastresur s.scaisse Ia .a M ~ erasus ensusnu I ta. - suussua | |||
,, 4-l - m a a s st surruar | |||
- @ | |||
* ANCHUN | |||
= | |||
N( SLAsis JsINT | |||
- h - FLEE 10LE ANC$lsk m . VALyg tl. | |||
/ | |||
... Y | |||
.s. | |||
l | |||
* I | |||
*ts. | |||
su z X g . | |||
,n. | |||
' MSTaileN ABSUI T-AMIS = 46.4 DEG. | |||
e.. | |||
M | |||
* 2 rL ANE 18Li = es uts. | |||
N.g | |||
, .w D.... =, Continuhd Figure 9 on , | |||
figure 8. Partial isometric of the SI-04 cosiputer model. i s. | |||
F W AHei 340. 4.00 se/01/OF. | |||
}' . | |||
';''$,;v,': - | |||
-~- | |||
--- - A ' '- | |||
. ,o . | |||
SXHGSI SAFETY I NJE::T i sti 3Y318 H 31-o4 W I$ . | |||
~ ' | |||
H Ji* 11*li N A TilliH A T l C AI. NEllEl. IV I.cI | |||
.e . . . . . . . , _ | |||
* | |||
* l. E Gl'.fl D . . | |||
. / - Nous i.ecatsuu | |||
. e - Manureaut secaison P0lat A .a e - sen:Ne naur.tv 1 E .*. s- - suuuuuu fl II . . ** 3 -l - wessa surreur | |||
-[ g - aucuou | |||
,,, E | |||
* NLatte JetNT | |||
-jj - | |||
rtuusuts aucusa am - valve | |||
,A | |||
. Y 3.. | |||
3 ,.... . | |||
x ' | |||
m s | |||
,,,i ta | |||
... .:/ | |||
, ..>1 - 33: | |||
... ... ,,,( a- | |||
,,, z | |||
,s . .. | |||
s Continued on Figure 8 b /'.. | |||
Feedwater * | |||
""'"'"^"*"''-^"* | |||
m- roans nor | |||
. u uw. | |||
- = | |||
- " %':', 'Ypt.mp ,y, suction G-3A I | |||
< i | |||
.e ... nozzle I "...~. | |||
~' | |||
Non- :.a.. "*a. *= | |||
-*#,.. ** ~ | |||
Safety .., | |||
related l | |||
" i | |||
, ,, s .A * *:.. | |||
< ~ | |||
3.s:. . | |||
Continued at Point A. this figure Ff gt,are 9. Partial isometric of the SI-04 computer model. | |||
euAue No. o.co as/ol/o?. | |||
t ,. | |||
\ | |||
c .*l b * * ! . | |||
a l .. | |||
lQ 4,\V.,. | |||
w , ',i. , | |||
SONGS I SI-ISS PIPE Si3ESS CALCul.ATIfN O i IJUP ll*li M ATilEN AT l C AB. MIDlil IV 4.8l i i e.1*.*. | |||
g | |||
**l.EGEND9= | |||
i , p . / - | |||
Mens secatsen | |||
, 6 - Maeoresui LocaTa#N 4h- 6rusno esawsen Il__l- - Suuseum * | |||
, ,,/ | |||
,, el-l - messo surranT u | |||
= - | |||
Auctaen | |||
... m - stasis Jesur | |||
''' -h - PS E MINLE ANCileN w - vaLyc | |||
- hlas. - . | |||
,7, . | |||
y su " | |||
s | |||
."$.* 0 | |||
* m ... .. Z X | |||
*1./ | |||
l l' ' 1 1... ,, | |||
88TaTION ateUT f-AX88 . 48.4 Dee. | |||
S006-27.5"-250lR "~' '" "' '''' * ** " * - | |||
Containment penetration (continued on Figure 5) | |||
~ | |||
l | |||
, i figure 10. Isometric of tlie 51-158 computer model. | |||
F it A Mii litt . it . 0 0 40/04/00. | |||
I | |||
...s> ,, | |||
.U,'MNI'; | |||
I _- | |||
, . ' Yl S!NCS I 31-150 PIPE STRESS CALCuLATIEN O | |||
_ Hl8P I PE NATilENATICAL NEDEL IV l.08 . | |||
Continued en Figure 12 . . I.E cE n n. . | |||
I / - NuoE 1.eCAftsu | |||
, 49 - NA89988N1 LOL A1lON | |||
: f. MM* SPERNG llANGLR l C"~}- - sNUNDMS E | |||
c es el-l - | |||
20480 surrent | |||
_ g - A .< ,s.. | |||
, E - | |||
ELA$fe JSINT | |||
** ~ | |||
} , | |||
- ( - FLausse.g Aacuan I | |||
.. W * 'W a t.V E b ** | |||
h | |||
* f s | |||
Y | |||
( ' w | |||
( | |||
l * | |||
{ E4 z x | |||
'4 e ASTAfteN,ASSUI V-Ails e 45.4 DE4. | |||
M-2 FLANE TILI | |||
* a 45 bke. | |||
). ' | |||
\ | |||
? ' | |||
l i< | |||
( | |||
E 4 | |||
4 | |||
( | |||
1 Containment penetration S | |||
e - | |||
f | |||
^ | |||
Figure 11. Partial isometric of the SI-158 computer model. | |||
t | |||
% . : a-nka'' t' ',s;. | |||
.i | |||
CSNGS l'SI-lE8 PIPE STRESS CALCULATigil y 18888' I f* E NATilEHATlCt.L HIDEL 8V I.Sl | |||
*.LEGENDe= | |||
' / - Ne0E LeC&TieN o - | |||
namore ent Locars ess ge- era LNG llaHist.R | |||
" " , ,* 8Q- - suussen d' | |||
.g. Continued on 4 -l - naese surram: | |||
. Figure 13 _ g - aucus. | |||
W - Elaste JetNT I | |||
-{ - Pasusutu aucuou | |||
'..". ua - valve | |||
... Y | |||
~ | |||
e | |||
... Z X cu 00 s | |||
... acTatssN assuf V-auts = es.4 DEe. , | |||
E-3 FLaNE TILI r 45 DEO. | |||
= | |||
3 i .. | |||
l Continued on Figure 11 l | |||
1 \ | |||
l l Figure 12. Partial isometric of tiie SI-IS8 computer model. | |||
l . | |||
FWAHei He. 4.00 0s/04/06 '' | |||
l i 1 , :: | |||
\. f. ffs f l. - _ _ _ _ _ _ _ _ _ _ _ _ - _ _ _ _ _ _ | |||
g SINGS I 31-1C8 PIPE STRESS CALCULATISH @ . | |||
I Nur il E NATilElf4TICAL HIDEL IV 1.03 .. | |||
NL i. | |||
l .= Continued on | |||
..tecsuo.. | |||
0 ' | |||
/ - lesoE LeC&Tled | |||
*O - NatsrelNT LOCA18pM gM- status NAH6La t | |||
>O- suueeue e e. | |||
4-l - R1410 surreN1 | |||
- h - ANCHeK M - ELASIS JOINT , | |||
- ( - PLEM89LE ANCifGE ese ' | |||
mahae - VALVE s | |||
Y e r. . | |||
e.. | |||
,. 2 X 8 | |||
* ASI Af t e.4 A38UI Y-AEIS . 48.4 DES. | |||
X.2 PLAME TILT . 45 DhG. | |||
is | |||
'::. ~ | |||
k . | |||
'a 4 o t - | |||
5006-27.5"-250lR , | |||
e 6, Figure 13. Partial isometric of the SI-158 computer model. , | |||
,s i | |||
F It A H ti H8. 3.00 88/01/08. | |||
'\ | |||
j, i n b' .-' | |||
,\-' . .4 *k.f,t | |||
UENG3B t_ T S CCtaF I NHa lCN Y A ll A L Y S I S - St-Si tillP i t'E C A lllE N A f l C Al. HuDh t. av t.g | |||
* * ;. E G E ll D - . | |||
a # | |||
* N.05 a.CA3geu e - massresur Sucazion | |||
.s e - erusse6 asan6en AltdChed to - I C 3- - skuasha | |||
>Ae . ..... .u,,... | |||
// jf .SI-SI piping 3 , | |||
-[g ance. u N~ ~ . - | |||
n.... ..., | |||
... vdive "" | |||
il10E-3/4"-157 sa "* * | |||
" ' ' ' "'" a a'a = = | |||
'E | |||
.... a, f | |||
... a'. | |||
., . . . l . T' th ** y e..e j! | |||
t ... .s ' | |||
184 | |||
" i | |||
/ . | |||
*y '' | |||
Z X malatt0N AgeUI V-4Ed. e (b.4 81k G . | |||
s. | |||
."" k -3 rL ANS. IlLt | |||
* 46 DEG. | |||
/ - ra. | |||
y w | |||
l l i | |||
.n m . | |||
Flow transmitter SIS-FT-912 Figure 14. Isometric of the SI-SI tubing computer model. | |||
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i FRE0llENCY til21 4 | |||
Figure 25. | |||
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t = 5 i !' , ,i | |||
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- = | |||
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: 3 I fl . ! l l l ' . = | |||
~ | |||
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- O .N O m - = % ; | |||
n _ | |||
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.ht,9 ?u. | |||
.v..-- .v | |||
\~o vC: .:J.o 43 m m n~a~ - ~ m - - ou.n ,,_.w n~,,, m __ m. | |||
I A441 1. Flyt DAIA AlJO tellitl At 2tCltlCAllull5--515 PNotitN 51-bl .' | |||
L Ine namdier 6006-6-160 lit 319-12-16 4.1434 14- theilt 319-10-tG 6001-6-1601R 320-12-fG 6005-14-1501R 320-10-fG 6008-6-150181 DD (Inshes) 6.62S 12.JS 14.0 10.75 | |||
[h ttinest ( IrKlees) 0.432 0.681 0.58 0.593 Walghta(In/tt) 39.86 140.82 IJ9.27 101.97 mterial All2,IP-)ln Alu6-8 All?, Ip-316 Al06-5 E col.: (ad pst) 28.3 ' 21.9 25.3 21.9 | |||
\ (psi) 18130 0 l$000 IUWW) th000 Design tempcrature (*f) 120 340 llo 340 - | |||
Operallug temperature (*l') 120 . 340 120 340 Design pressure (psi) 900 11:.0 900 lJSG Oper. ting stessure (psi) 900 13bu Soll 1350 | |||
: 4. Inclueles weight of pipe, contents, and lepelallesi. | |||
4 44 F e 8 | |||
.,,,,d,'f .. | |||
A% sf. | |||
s TABLE 2. PIPE DATA AND MATERIAL SPECIFICATIONS--SIS PRC8LEM SI-04 Line number 6002-16-151R 318-14-GG 338-3-GG 00 (inches) 16.0 14.0 8.625 Thickness (inches) 0.375 0.375 0.322 Weight" (lb/ft) 141.68 122.38 50.24 Material A312, TP-304 A53-3 A53-B. | |||
6 Ecold (10 . psi) 28.3 27.9 27.9, Sh(pst) 18600 15000 15000 Design temperature (*F) 120 340 95 Operating temperature (*F) 120 340 95 Design pressure (psi) 140 360 360 Operating pressure (psi) 140 360 360 | |||
: a. Includes weight of pipe, contents, and insulation. | |||
. .J. | |||
- ~ ; | |||
u wa ~ | |||
m 6 | |||
e ,. | |||
_TASLE 3. PIPE DATA AND MATERIAL SPECIFICATIONS-SIS PRCELDI SI-153 Line numcer 6007-6-1501R 6007-6-2501R CD (inches) 6.625 6.625 Thickness (inches) 0.432 O.718 Weight"(lb/ft) 39.86 60.46 Material SA312, T?-316 SA312, TP-316 6 | |||
; Ec ,7,(10 psi) 28.3 28.3 Sh (psi) 18800 13800 Cesign temperature (*F) 120 570 Operating' temperature (*F) | |||
* 120 570 Design pressure (;si) 900 900 Ccerating pressure (psi) 900 900 | |||
: a. Includes weight of pipe, c:ntents, and insulatten. | |||
ij | |||
'~ ~n _, | |||
16 | |||
O l | |||
, TABLE 4. | |||
PIPE DATA AND MATERIAL SPECIFICATIONS--SIS PRCSLEM SI-51 TUSING 00(inches) - | |||
0.375 l | |||
Thickness (inches) 0.049 ) | |||
Weight" (1b/f t) 0.2 Material 316 SST I | |||
Ecold (10 psi) 28.3 Sh (psi) 18800 Design temperature (*F) 120 Operating temperature (*F) 120 Design pressure (psi) 900 Operating pressure (psi) 900 | |||
: a. Includes weight of pipe, contents, and insulation. | |||
.g | |||
; T31 | |||
. ;;*&p: | |||
-i74tg m: | |||
9 s | |||
l | |||
== | |||
47 l | |||
J | |||
7ASLE 5. PIPING SY3 TEM VALVE DESCRIPTICNS | |||
. Weight - | |||
Face-to-Faca Dimension Medel Valve (1bf) gg,,) | |||
SI-51 HV851A & B 2960/2338" 35 HV852A & B 2160/2338 33 12-600-222 1463/- 33 SI-04 862-12-C42 750/- 27.5 HV-553A 2550/1275 33 HV-354A 2210/1105 30 14-300-438 1473/737 32.5 | |||
'861A-16-G42 1053/527 IS SI-158 MOV-850C 801/393 21 867C-6-C58 259/- 17 SI-51 Tubing 870E-3/4"-75 5/- 5 SIS-FT-912 i so valve 9/0 2 | |||
: a. The first atz.cer is the weight of the valve ::cdy and the sec:nd is :ne weight of the valve stem. | |||
a 2 -r 512, l | |||
l l | |||
48 | |||
~ ' - ~ - - -~ ~~ ^ ~ ' - - ~ ~~ ' - - ~ ~-~ ~ '--~'- -~ - ~ ~'-~~ ~~---- | |||
~- | |||
TABLE 6. | |||
==SUMMARY== | |||
OF FIRST TEN NATURAL FREQUENCIES AND PERICOS OF VISRATICN--SIS MCOEL SI-51 W Reds W/O Reds f T f T Mode (Hz) (second) (Hz) (second) 1 4.739 0.211 4.455 0.225 2 5.518 0.181 5.147 0.194 3 5.794 0.173 5.794 0.173 4 7.731 0.129 6.111 0.164 5 8.298 0.121 7.645 0.131. | |||
4 6 8.355 0,120 8.271 0.121 7 9.127 0.110 8.380 0.119 - | |||
8 9.805 0.102 8.805 0.114 9 10.697 0.094 9.465 0.106 10 11.037 0.091 10.464 0.096 | |||
/I[. ,- | |||
l I , | |||
49 | |||
. l TABLE 7. | |||
==SUMMARY== | |||
OF FIRST TEN NATURAL FRECUENCIES AND FERICCS OF VIERATICN--SIS MCCEL SI-04 W Reds W/0 Reds f T f T Mede (Hz) (second) (H:) (second) 1 1.024 0.977 1.024 0.976 2 3.277 0.305 3.219 0.311 3 4.545 0.220 3.639 0.275 4 5.364 0.186 4.545 0.220 5 7.209 0.139 5.364 0.137 6 7.433 0.135 7.209 0.138 7 7.585 O.132 7.437 0.134 8 8.638 0.116 7.586 0.132 1 9 S.968 0.112 8.638 0.116 l | |||
10 9.502 0.104 8.972 0.112 7 | |||
gy i | |||
( | |||
50 | |||
C ,. , | |||
TABLE 8. | |||
==SUMMARY== | |||
OF FIRST TEN NATURAL FREQUENCIES AND PERICOS OF | |||
~ | |||
~ | |||
VIERATION-SIS MCOEL SI-158 f T Mode (Hz) (second) 1 6.288 0.159 | |||
. 2 11.141 0.090 | |||
. 3 , | |||
13.236 0.076 - | |||
4 14.010 0.071 5 15.529 0.064 6 16.197 0.062 | |||
~ | |||
7 18.456 0.054 8 19.290 0.052 9 20.911 0.048 , | |||
10 23.715 0.042 | |||
. -h' | |||
= | |||
7.$kh e;a e | |||
51 | |||
TAELE 9. | |||
==SUMMARY== | |||
!RST TEN NATURAL FREOUENCIES AND PERICOS OF | |||
.VIBRATIC -SIS MCOEL SI-51 TUEING f T | |||
'Mede (Hz) (second) 1 5.791 0.173 2 9'.046 0.110 3 9.202 0.1Q9 4 11.587 0.086 5 12.268 0.082 6 13.815 0.072 7 15.480 0.064 8 18.422 0.054 9 18.584 0.054 10 23.364 0.043 | |||
.3.* | |||
5.'a 'fb | |||
's 'h t:1 | |||
' c ; .1 f | |||
i s | |||
I I | |||
52 | |||
e IA8tt to. CtNW'AN150N Of 5fME55 NthatI5 FOR 58-51 Inertial Stress: iguation 9 2(5AN) Stress: Equattan to 9 , | |||
t 5 Dif farence % Offference t Stress (ksil Based one Stress (ksi) Baseet on Nude /tip SIF ms. Stress m m. Stress 16tG/t1(ensee Component tG16/Licenseg (C44 Impell (62.5ksl{ fGtG tIcensee JIP.?ksi) 1o/1 pe.hacer-Irg 3.tNM3 63.9 68.1 4 9.1 9.3 1 15/40 peducer-sal 3.tWe 36.5 34.9 3 5.2 5.4 1 20/2$ Straight pipe 1.tak) 12.9 12.2 1 'l.5 l.6 I | |||
. 22/M) Straight pipe 1.000 12.4 12.0 l 1.5 1.6 l Ju/36 Isc-run 1.421/l.426 13.9 12.9 2 2.0 2.3 2 50/4h ice-branch I.421/l.426 15.4 10.6 8 3.0 3.1 1 | |||
-morth run 1.421/l.426 14.4 13.2 2 3.8 3.1 1 | |||
-South run 1.421/l.426 12.5 12.6 0 3.2 3.2 0 S$/h0 8educer-Irg 2.000 15.9 12.7 5 5.0 4.8 1 60/55 Neducer-sul 2.tum) 15.1 12.1 5 4.5 4.2 2 8As/300 Straight pipe 1.tWM) II.3 9.2 3 1.8 1.7 I 80/62 Stralgrit pipe 1.500 . 10.5 9.5 2 2.6 2.6 0 at leraath | |||
\ | |||
95/100 E lbow l.txus 8.2 1.2 2 2.0 1.9 l 105/164 Llbow I.000 8.6 8.0 1 1.9 I.8 I I10/16b iIbew l.000 8.3 8.6 0 2.3 2.4 1 14$/1054 Elbow I.000 8.8 8.8 0 4.3 4.4 3 180/115 Straight pipe 1.000 11.1 18.0 0 10.1 9.4 4 84s/305 Straight pipe 1.000 12.7 9.8 5 1.1 1.7 0 acar valve 5S0/1804 Libow l.84a 16.3 12.2 1 4.9 4.6 2 8th/3/$a Elbow l.uta 14 .2 10.6 6 5.2 4.4 5 8115/3m)4 Elbow - 2.423/2.428 12.2 11.0 4 3.7 3.6 I 900/9104 Elbow l.H48 10.4 10.2 0 1.8 l.6 I 985/90ba E lbow l.848 8.0 1.4 1 0.3 0.1 I 250/156 Saanch, 2.011 13.2 18.0 4 16.5 11.8 1 lsest run | |||
/u0/449 ilbow 1.643 8.8 11 . 1 0 11.6 16.h 6 , | |||
42h/260 Scducer-smi 2.0ful 26.4 23.2 4 5.0 5.2 I ast/2bs seducer-trg 2. twat 27.0 28.9 3 5.2 5.8 3 j^ 435/nD lee-sranch I.421/l.426 29.9 21.5 4 5.2 7.1 14 | |||
-mortli run 1.421/l.426 21.6 22.6 -2 3.8 4.h 4 | |||
-South run 1.421/1.426 35.I 30.4 8 5.3 1.4 12 450/39$ Straight pipe 1.0tk3 14.7 11.0 3 2.4 3.0 3 660/355 Lee-brau k I.421/l.426 26.8 23.8 5 2.9 4.8 II | |||
. -Suuth ran 1.42//1.42e 26.9 24.0 5 2.9 4.5 9 67h/370 tIbow l.uta 15.5 15.6 0 3.0 3.5 3 6au/3tn3 tioow I.843 23.3 21.1 3 4.4 4.2 1 6ml/30u Reducer-sal 3.tukt 34.0 31.8 4 1.1 6.8 2 6tsS/332 Reducer-Ir9 3.000 50.4 54.8 J B2.6 18.6 6 63 I | |||
o | |||
{ g/ ,, | |||
g ,) | |||
$[ . l' 7 .d., | |||
I Amit II. Cust'ARl50m M SINtSS Nt".UL15 IUlt $104 ' | |||
Inertial Steess; lapeetlan 9 _ . 2(SAft) Stress; f eluatten 10 3 D88tereus 1 Dif ference Stress (ksil liased os Stress (kg L Sased oss hude/up Sif m a. Stress m a. Stress t s.41./t itensea Cusapuenea t t 6tG/t icenseg 1646 4trensee j?I.atS ksi I C&G licensee (11.05 t s t) 60/10 Straight pipe 1.000 4.4 b.I J 0.6 0.4 1 10/80 Straigsit pips 1.000 5.4 4.7 3 0.7 0.6 I h/zo Straight pipe 1.000 4.5 3.a 3 0.6 0.6 0 85/100 Straight pipe 1.000 7.4 7.5 0 1.6 1.5 I labl/Ilo Str.ight pipe 1.000 30.4 80 .5 0 0.8 0.8 0 110/120 Straight pipe 1.tuk) 8.0 7.9 0 0.7 0.7 0 | |||
, 8to/830 Straight pipe I.Ctml 12.3 12.5 1 0.6 0.6 0 130/140 Straight pipe I .aMao 5.2 3.3 a 1.4 1.4 0 IIS/14S tibow 3.221/3.225 II.6 1.6 17 4.8 49 i 140/145 Elnuw 3.221/3.225 14.2 11.0 13 5.0 5.0 0 | |||
> les/ iso Stral9s.t pipu 1.0th) 1.2 6.# 6 1.6 1.6 0 g ISb/ lb) Straight pipe 1.ono . | |||
8.8 J.2 7 1.9 2.0 I ISS/ISS tibow 3.221/3.225 19.3 15.7 IS 5.8 5.5 3 la.41/ l55 tIbow 3.221/3.22% 15.4 12.4 13 4.l 4.2 1 1 1 S / 44,5 Straight pipe I.than 23.5 If. 2 31 S.5 5.4 I i | |||
190/lth Straight pipe 1.000 14.1 14.3 2 6.8 C.0 I lime /lvo Straight pape I .amun lo.h 9.2 5 1.9 l.9 0 | |||
, 205/200 Straight golpe I .lM10 11.4 12.4 4 1.9 2.1 2 | |||
, 24h/240 Str Isht pipe B .tu hl 6.1 7.8 2 J.9 3.3 1 220/215 tibus 3.221/3.225 l1.8 12.0 4 II.2 10.9 3 7ts/2th Libow 3.2/1/3.225 l1.9 18.6 l n.2 1.7 5 230/22u 1thee 3.221/3.225 15.0 ti.4 7 a.6 s.3 3 i in/ttu ithow 3.221/3.225 14.2 II.tl 9 9.I 9.2 1 | |||
$ 250/225 1 14.u= 3.221/3.225 14.7 13.8 4 1.5 8.0 5 | |||
! 2SS//25 tInus 3.2/1/3.225 11.7 11.2 2 6.9 1.7 7 2bS/230 tIbuw 3.??l/3.225 10.1 5.4 20 8.2 7.2 9 210/210 1 thaw 3.221/3.225 9.8 5.9 16 5.6 6.8 ll 2us/2h iIbow 4.229/4.232 13.5 0.1 23 1.3 6.1 ll t 29il/23S tIbu. 4.2ts/4.232 16.tt 9.2 32 6.3 6.6 3 320/t45 Ice-br a le 2.539/2.539 13.4 9.4 17 4.6 5.0 4 | |||
-murth run | |||
* I/.h 8.9 15 4.6 5.0 4 isS/zt1 us.hmer-Irs 2.ouu 18.5 7.0 19 3.9 3.1 ; | |||
+ | |||
J40/241 kcJacr-sal 2.skhl 30.2 J.2 Il 3.3 3h 3 316/255 tabow 3.851/J.sil 16.3 11.0 24 6.2 6.1 1 J W ISS t it.uw 3.a51/3.84 l 19.0 11.5 25 6.3 5.s 5 360/260 Ise-t,raxb 2.311/2.116 13.5 9.9 3.8 15 3.9 1 b | |||
-Lest sun 14.2 II./ 10 3.6 4.0 4 | |||
-mur t h r un 14.2 12.S 7 1.9 2.0 I J/o/2/o ac. sacr-le .) 2.smus 19.2 24.2 28 S.O 6.9 IF 1sS/2/o Scamer.sel 2.tniu 20.5 13.8 30 S.0 3.2 16 jus //ns tibow 3.8SI/3.848 20.9 11.0 16 3.8 2.6 6 3Ju/285 tIbuw 3.d5 8/3.841 2u.2 14.S 24 3.2 1.6 14 390/130 (Ibow 3.n51/3.841 20.2 14.5 24 3.2 1.6 14 195//m3 tibue 3.ubl/J.u41 14.1 is..S lu 2.9 l.a 10 k | |||
( S4 | |||
4 i , | |||
IAlmE 12. COWARl504 Of SINt55 NE5ttIS F08 51-158 ,' | |||
* laertial Stress: Equatloa 9 2(5AMI 5 tress: Equatten 10 5 Offference 1 Oliference Stress (tsi) Based on Stress (tsi) Based on asoJe/11P Sif m m. Stress Mas. Stress ir.tG/tIcensee Caesson=a t (G&G/ticonses, f&&G liceasse (13.5 L st) _ IGtG ticensee _(6.15 ksi)_ | |||
$/1000 Strale t pipe 1.000 5.5 6.0 4 2.2 3.8 13 20/1010 5trale t pipe 1.0n0 v.L. 4.4 3.6 6 0.2 0.2 0 3s/10$1 Straight pipe 1.003 (c 5.1 4.3 6 0.8 1.0 3 40/1100 Stral@t pipe 1.000 4.1 1.0 EInow l.643 , e I' ?. 4.3 3.8 6 1.5 3 4S/ Clue - | |||
5 0 . 41 0.6 3 . | |||
$0/C40A Elbow I.643 | |||
* i #. ' ' 4.4 | |||
. 4.2 3.6 5 0.6 0.6 0 S$/ css Elbow 1.643 * . . , 4.1 3.3 6 1.0 lA | |||
.. 1 su/CJA EIbow I.643 * | |||
. 4.3 3.4 7 1.2 2.0 15 Ju/ Con E lbow l.643 .- 4.2 3.4 6 8.6 1.2 6 JS/08A E lbow l.643 4.2 3.5 5 l.2 0.9 4 asu/Cls Elbow I.643 8< 4.2 3.6 5 0.8 1.0 3 at/C/A Elbow l.643 - | |||
4.2 3.8 3 0.8 1.6 12 ts/C6s Einow I.643 . 4.3 4.0 2 s I.2 1.1 I luu/cmA Elbow l.643 4.2 3.9 2 1.2 1.8 I sus /1210 Straight pipe 5.000 4.1 3.6 4 0.8 0.6 3 IIS/lho Straight pipe 1.000 4.0 3.7 2 0.6 0.8 3 120/1320 Straight pipe t.000 4.2 4.4 2 1.2 1.2 0 . | |||
125/058 Elbow l.000 4.3 4.4 I l.2 1.2 0 830/CSA Elbow I .tu) ' | |||
4.5 4.4 1 1.4 1.3 1 83S/IloG 5traight pipe 8.000 4.6 4.8 2 2.0 1.7 4 140/I150 Run IP branch I.Suo/2,leGa 5.2 6.2 8 3.4 4.2 12 14S/C48 E lbow l.643 5.6 5.7 I 4.0 3.6 6 ISO /C4A Elbow I.643 5.9 6.4 4 4.6 4.2 6 115/1410 5traight pipe I.000 5.5 6.2 - | |||
5 3.0 2.6 6 160/1440 Straight pipe 1.000 5.5 5.9 3 3.0 2.6 6 , | |||
86S/8460 Straight pipe 8.000 4.9 5.3 3 1.8 1.9 I - | |||
195/038 Elbow I.643 6.2 7.0 12 8.8 6.8 - | |||
19 6 200/C3A Elbow I.643 5.1 8.1 18 7.0 6.5 1 205/v2C Straight pipe 1.000 5.7 1.5 14 3.8 3.1 I . | |||
23n/3100 Elbow I.399 9.2 10.6 Il 3.8 2.7 16 23S/1104 Elbow I.099 9.6 10.9 10 4.0 2.8 18 21s/11ds E lbow I .tr39 9.6 88.3 83 4.0 2.9 , 16 24u/l/ue E lbow - l.0J9 10.0 12.5 19 4.6 3.2 21 23n/1717 Stralp t pipe 8.000 12.7 13.5 6 4.0 2.8 18 | |||
: 4. the tG&G analyst assuineal a full penetratten weld la place below the fillet meld per c=- auclear grade weld practice. ihe licensco's analyst conservatively asssumed that caly the vislate weld could l>e crtJited. Ilois led to the differcace la 5lf. | |||
55 3 g,. | |||
. . . . .. l | |||
. di h(6 I | |||
TASLE 13. CCMPARISCN CF STRSSS RATIO RSSULTS FOR SI-51 SUPPCRTS Stress Ratio Suecort 10 Tyee Nede/Op Cemeenant SG&G Licensee Notes SI-05-0320-H013 snubber 22/30 anchor 1.6 -- | |||
1 i | |||
bolt J | |||
SI-05-6005-H006 strut 260/157 clamp 0.3 0.9 2 SI-02-6005-H005 snuccer 375/225 snubcer 1.3 1.8 3 | |||
, SI-06-6005-H004 snubber 330/230 clamp 1.3 1.0 4 - | |||
1 SI-06-0319-H007 snubber 485/537 anchor 2.0 0.9 5 bolt l/ | |||
SI-05-0320-H017 spring S55/310 spring 0.36 0.37 j hanger . | |||
hanger | |||
] SI-05-0320-H011 snutber 861-315 anchor 0.64 0.96 6 l bol | |||
: 1. The supper s acded Oc SI-51 made the snuccer unnecassary and i: nas removed. | |||
: 2. Based en the sha;e and dimensicas recorced in the field, the SG&G i analyst concluded the clamp was part of the snubber assembly originally 'n 11 installed. The licensee's analyst made note of the discrepancy, but used 'i the load rating fer the clamo associated with the strus assemoly that a replaced the snubber. This was conservative. | |||
: 3. The sucpert had been turned over to the licensee's design grouc fer i | |||
mcdification :s increase Icac ca:acity. | |||
4 The SG&G analyst used :ne puolisned cataleg icac rating. The licensee's i | |||
' analys: | |||
the clamp. | |||
cantacted :ne manufacturer and oc:afned an increased Icac rating for | |||
: 5. Sucperts added oc the af aing in the vicinity of this supccr reduced the Icacs on 1: to acceptacle levels. | |||
: 6. Succerts added to the'picing in the vicinity of this succor increasec 1:s leads, i | |||
TABLE 14. CCMPARISON OF STRESS RATIO RESULTS FOR SI-153 SUPPCRTS | |||
~ | |||
Stress Ratio Suceert 10 Tyee Nede/Op Cemeenent EG&G Licensee Notes SI-01-6007-H005 stru 35/1090 clamp 0.23 0.21 SI-01-6007-H30I guide 105/1270 baseplate 0.70 0.96 1 SI-01-6007-H005 snucber 155/1430 baseplate 0.33 0.34 SI-01-6007-H000 snubber 150/1440 baseplate 0.52 0.39 2 SI-01-6007-H000 snubber 165/1460 anchor 0.29 0.93 3 bolts SI-01-6007-H008 spring 180/1500 spring 0.78 0.79 hanger , | |||
hanger SI-01-6007-H00A spring 240/1710 spring 0.72 0.53 4 hanger hanger s | |||
: 1. The EG&G analyst did a finite element analysis, the licensee's analyst a simple beam calculation. Ecth are acceptable. | |||
s 2. The EG&G analyst did a simple beam calculation, the licensee's analyst a finite element analysis. Both are acceptable. U. [; | |||
2 3. The licensee's analysis was based on factoring the results of a previous ,.j{:Jg,., | |||
: s. %\ | |||
analysis to account for different loads. In the previous analysis support leads had been increased to account for the possibility of support dynamic | |||
:(.R: | |||
response. | |||
Current criteria ensure support rigid resconse, so that sucport loads need not be increased. | |||
4 Different hot loads were used. EG&G's het lead was based en design drawings, because the hot 'oad hanger setting was not recorded during walkdcwn. The licensee's load was based on the current setting. | |||
57 s , _ . , | |||
~-...-,--.--m | |||
$?Dn%*NinI.M5Ufl$ AGE $hLWA*Lt -- - | |||
* I 1 | |||
1 APPENDIX A CESCRIPTICd CF CCMPUTER CCCE 1 | |||
I O | |||
C i | |||
..e s | |||
') | |||
I I | |||
A-1 | |||
APPENDIX A | |||
'~ | |||
\. COMPUTER FRCCM OESCRIPTICN The NUPIFE-II cen:puter program performs linear elastic analysis' of three-dimensional piping systams sucject to :neraal, deacweigne, seismic, and otner static trd dynamic loads. The NUPIPE-II program is also designed to perform stress and fatigue analyses in accordance witn the ASME Soiler and Pressure Vessel Code, See:1cn III, Nuclear Power Plant Cemconents,1974 Edition :necugn :ne Sumer 1975 Moenca; and one ANSI 331.1 Ccce,1967 and Sumer 1973 versions. NUPIPE.II may also De utili:ed to assure compijance wita later piping c:de requirements proviced the analys: takes into considera:1cn any possible enanges. Piping systems of mcre : nan ene classification can te analyted. | |||
NUPI?!-II utilf:es tne finita element me:ned of analysis wita special features iccor;cratad to,ac=mccata specific requirements of piping system analysis. In ac::rdanca vita tne finita element memed, tne centinuous | |||
.. piping is satr.ematically ideali:ec as an assemoly of elastic sinc: ural memners cennnecting discreta necal ;oints. Nedal points art placec in suen a sar.ner as s isolata particular types of piping elements, sucn as ,. | |||
straignt runs of pipe, albcws, valves, etc., for waten force-defermation cnaracteristics can be categori:ed. Nodal points are also placed at all | |||
}4! | |||
. g*4 discontinuities,. sucn as piping supports, concentrated weignts, tranca , | |||
6 lines, and enanges in cross-section. System loads sucn as weignts, equivalent :nernal forces, and eartaquake inertia forces art accliec at :ne nceal ;oints. For :ne deacweigne anc cynamic time-nts: cry anc res:ense scect: a analyses, distributec weign ;rocer ies of :na piping as well as concantrated neignts, sucn as valves, pumps, er snuceers, can te considertd. A lumped mass accel of :na piping sys:em is used for all cynamic analyses. So n translaticnal and rotational cegress-sf-freecem may De Considerte. . | |||
For fur.ner informacien ccccerning NUPIPE.II ca:acilities er analytical ;r:cecur*.s, =ntac: Acclied .Ncnanics 3ranen of im ::anc, Inc. | |||
A-2 w m m M E&irw Ln9%M M'w.' bib?i&P1W& MLin W N*5WAMN 5 | |||
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MICROFICHE cp cc,ygg75R CUTPUT . | |||
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NOTE: MICROFICHE OF COMPUTER OUTPUT (PAGES B-2 TO 5) ARE AVAILABLE IN THE PUBLIC DOCUMENT ROOM and LOCAL PUBLIC DOCUMENT ROOM f | |||
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APPENDIX C 1 | |||
MLL-ECRE PIPING HAND CALC'JLATION 6 | |||
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4 i. | |||
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Eg). x 2.d . g | |||
.h.,. :.. :..u. | |||
o | |||
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o 1 . | |||
A- | |||
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s p.,, ~s .p - | |||
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ii .i | |||
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g..$,.g..f , | |||
r ;..;.. q n,.:. ll } 4 ' [ l' .!.. ! . l , . .. | |||
. _ . /, . .. ,. | |||
t.....i. s . ...... . .. . | |||
i . . .. ... .,, | |||
. .'..' .;.. 1 6.; = F.5 [ W t. ':= i:. \. k I.L; -].._...:. | |||
. - I h.,.es m . . . . . | |||
g | |||
.e e.. .. .o,r . <. i,p.. :.. ,..i..o :.., a, . ;. , . :. . | |||
agg ...t..... | |||
i . e .i ; y. ,..:..t.:.Lfj ,/,;.. S: ' | |||
: t. . , , | |||
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m . ... .. . . . . . . | |||
., . 4 .i...; .h J1I 8. . | |||
213, !_ ix) .! _ . ' | |||
i - | |||
W i ' iib, ._E,..#f_L{i.. . . ! . | |||
M4 isi . ' l . ; . :.../.:3.:i s -n t | |||
: i. . i 2 | |||
.- . | |||
* Ap#m | |||
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J F c $.s. L .. u .;g..,... t. . L. ;. . ' .1. - ' | |||
O . | |||
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.-[ | |||
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: u. ~..i . ;.; .u, - | |||
,=, | |||
l y ppy .lg3 - | |||
* sc+LSL 91 , y. i y j 33 X=?- : | |||
81+L3L 33 34 PR0".PT > b.' | |||
02 XG mp. / | |||
03 RCL 02 - '<. | |||
35 STO 96 36 RCL 01 f',6-lM',,X.! | |||
j j, ! | |||
i f | |||
. 84 RCL 05 . .. | |||
. 37 X)Y? . .. - - ' | |||
E. _ l 85 * . | |||
' . .J. .- | |||
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33 CIO 02 1 | |||
* 86 RCL 98 | |||
. MI':. I . | |||
39 RCL 68 . - | |||
I | |||
, g7 f . | |||
.M w . | |||
'48 RCL 66 , PRP '!HP* . | |||
03 "Rt= " " ' $ ., | |||
41 - ' | |||
j . 49 ARCL X A. . 7.L~' ''. ' '42 RCL 82 . gg e t !HP-10 PROMPT - - 43 | |||
* 82 | |||
* L=?' - | |||
11 RCL 02 - 'i ~ . | |||
44 RCL 01 03 PRCMPT | |||
~ | |||
l 12 RCL 91 45 | |||
* 04 sia 40 l | |||
-[ 13 e 46 RCL 00 , 85 - g=?- . | |||
14 RCL 08 f' 47 / ' | |||
46 PROMPT | |||
. 15 / .j e . .> 48 GIO 63 07 Si0 31 , | |||
i 16 'R2= * . | |||
' , .... 48 | |||
* F=?' | |||
17 ARCL X.'' 49*LEL 82 89PRCMPT 19 PRCMPT 50 RCL 02 , 18 ST0 92 19 RCL 02 51 RCL 05 11 sa?- . | |||
29 RCL 05 52 | |||
* 12 PROF.PT 21 e 53 RCL 66 13 ST0 04 22 RCL O! 54 | |||
* 14 RCL 90 23 | |||
* 55 RCL 00 l 15 RCL 01 24 RCL Og h 56 / 16 - | |||
25 / . 17 ST0 05 26 RCL 04 , | |||
57*L3L 03 - | |||
13 DD 27 / ; 53 RCL 04 23 sa= - 53 / | |||
2? ppC1, x l 60 *$X= | |||
* l | |||
... 30 PROMPT 61 PRCL X ; . | |||
'31 ;; gt '.. | |||
, 62 PROMPT : | |||
ou.s a s g | |||
..' 63 GTO 01 64 ED 8 | |||
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.2. I 858 m . - | |||
55 . Ol+LFt. 3S3- . ; !; i r.u,,- | |||
l 92 WEIGHT /I;{? e um*t ' | |||
''~g., ~! | |||
-:::i.-- 03 FROFIPT wt:'- ' 1 | |||
=1 64 STO 91 )7 - | |||
05 *LEETH? 4 h g ,,, J , | |||
]g | |||
: i. . 66 FRCMPT fyyt4 . ! | |||
45' 07 ST0 92 . | |||
88 f033XUS?* 4:-- 5 (ue/45 g ; | |||
99 FR0rfi 10 STO 93 11+ Lit. 01 12 X?- 4-- X 13 FROMei l 14 Si0 64 15 RCL 91 16 * , . .- . | |||
:t-17 2 - | |||
a -ec.,. | |||
18 / | |||
n | |||
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8 :f ::.Mi | |||
,. 20 RCi. 04 G | |||
..... 2! " | |||
2*- s d3 ECL N | |||
* 24 e ,. | |||
25 FF- -7 ;rg,y) i 25 f*CL X S 27 FR0tGI i 28 GTO O! | |||
\ | |||
s e | |||
i o | |||
Y . | |||
.e i | |||
s I | |||
I C-8 p < c c.w - ,x ; y. , p ,,r.g,,q | |||
, , , , y . g;. .z., -._,.,y,,_ | |||
. , i I | |||
I l | |||
APPENDIX 0 PIPING SUPPORT CALCULATICNS | |||
= | |||
e F .. .N w . | |||
T w. | |||
"Cv= '- Q/u /ro, sp>h s-e. ..~,s. | |||
' Ae/ 4.c/ G p1 | |||
/ . | |||
h yp y :~ rum.-y %, fw : -fI by/v= Wse/c/C.P ' % .,;? 2 s f.efg 3-DS~-O!2D-d03 2ith0 1,40 D ~5 - | |||
- Hol'l 2y/ r- eo&7 D-5 | |||
% froM -Holo of/43*' ~ | |||
d,CG D-3 | |||
~ Hot 2 100 / 12 a . 2.2 D-le-T | |||
~ HQo'7 Itr/t1 0,09 .D~1-9 | |||
-Heo6 no/sr D-9: | |||
Q | |||
-Hat | |||
-lM14 11g/+n 0,1 f D-9-!O t17/4f 9. FC D- 80 -Il | |||
& - HC#3 Mr/ lod - | |||
D-la 4?. -4'mT- Isp///9 0,r7 D-l? -l 3 55ii 11 b Co't ~ Nx2. Igo /11S~' o 44 D-I.3*l+ | |||
? ~Nws Irs-//2o ' s 71 D~l5 | |||
'WM/ zm//2S' G *77 D~ l6 Q}i n | |||
11-o2 - ;cor -dros | |||
-NM3 2Kr//yr' 0,74 | |||
$,13 | |||
* D-Ilo'I9 m /tr') .b- 2.0 | |||
~ IfCe3 :nr/if C,Ii~ | |||
'D-h-Cl | |||
- Mxf" ifr/tir' c ?') D-2 2 | |||
-Hwi :n / /g j f.6 9 D-aB -24 | |||
~axT w /l14 0al4 .D -35 ~G | |||
(~. ~ HM2- 7tr//4S-~ 0,70 D ~D*l | |||
~ | |||
-Her ito / zf e,W D ~8 Tyr /tae | |||
. syr)2n~ | |||
D-M D-Sn & | |||
4I-e6-be:r- WCCf 1-tr/2f f,rz | |||
~Hoo'! D -5c 'l[. | |||
- TM/110 ?,7r, 3-30-2I M | |||
~kw3 +w/ 2ro p.1s D-32-34 - | |||
11-ed -07/4 - #mV 445-/11 0 #M D-S5 | |||
~#co? 4ts-/r37 /,ft 3-35-57 | |||
- Mood Ms/777 p, et D-58 c- C -c us -Hor: ru/rgo D-39 | |||
- /tco:- pr/ sit'~ s. Yt ~D -59 | |||
: -o:-scri - He*/ ato/vsr- /.0G 3 -3 * | |||
- thx1 72s/vtG C Cr"' D- 4C ~ 4 2 | |||
'E-07~SCCS | |||
- Heoz | |||
.WC / 757'/ s1s" p /1 M3 nr/ 4:s o,x p-43 | |||
= ;2-:re:7 - Mw! wo/ ~ | |||
- /t " 2- ft9/ yr> c 21 D-43 ftp p4:r'~ D-4 3 3Y4/- D-4 3 I c -e r-o n s - H :t9 r,r/y, 9,27 D -45 | |||
-M:t b HF/11: 9.63 D-%-45 | |||
-He// 161/yr- p.44 D - 4t., | |||
-EcC' not.,:c a.;y D-4T l ! | |||
l l 0 -2. l i | |||
t Me. ,- . . s ..4 .e( .r- - | |||
..m.-, V" aP .de . e ss b ~ A'WOh #A. e ad sw W/'", h gy,, e ame,,a ,,y yg 4 ,M 4 | |||
o * | |||
, d 8 *fE! e e **E*JWf f $t.C 5.?f ? So* ,!.*2=e 5 Y | |||
L us's b-'l8 - 53 Stabd e o, pssa.: +s4/s; Lup D-55-59 D-40 | |||
/w1 ecal t m :uh ,er: D-Gl-6 3 | |||
._. fe ., fer: D -fr4 ~6 5 g e .w e i,,,-, - 2-apsa a | |||
E | |||
~~~ | |||
~. | |||
EEi! | |||
MI 8 | |||
e t | |||
f t | |||
i i a | |||
B 6 | |||
: a m; ' | |||
v - | |||
c . | |||
c... . | |||
':"MEL Gh 2/96 $r-e L & $,,..A.n' | |||
,Jy,csed Jummuy Seef ki- 1Z-/58 | |||
: Jypor & Nede/D A 6.a Lb fe y | |||
$Z- 0/-6co7-ho/_ 20//c.:a 0, j 7 D- )is-l+3 | |||
-fl00K 23//o?a 6.f/ Q - Iff-tX "NCGT AC//H6 6 26 0-)(b-)ff 4 30.I /0J//.174 C. To 0 - lo1-M1 | |||
-N3DN /J5//MO Jo d D - 45*-tofo < | |||
-Hab& /20//3.10 0. Ad 0 - +1 Q -H24 C /3E/gC,0 6.34 0 - 1$~- 45 | |||
- Med E | |||
-$M | |||
/i"5/M30 ' | |||
/40//y@ | |||
o.23 D-13-8'l iS 0. 3;. D 82. | |||
iii -NC6C 16E//%d 0. !? D~77-79 emii -Noo d / 16/15 0 0.18 D-72-9to | |||
~=! - He0A 4Wo//7/a 0. 7.2 3 - lo 7 '1 I. | |||
,,}, | |||
k Loads - | |||
O -I40- | |||
. ^ . .% | |||
,. .~.-iii. | |||
, Mn; | |||
,'.~ , | |||
., - cyy | |||
;;p | |||
-~~.. , | |||
_ ~~-} } | |||
g . | |||
e ! | |||
I f | |||
( | |||
l | |||
, i 3 | |||
l L | |||
I r_ | |||
~4 , | |||
$f ** h r s ^Y- | |||
_- -b | |||
* ] | |||
! O ) | |||
l mJn!.- *1tJcts | |||
. I r e% f , , . ,.- - | |||
,.,/ c .r7 ';~,0t'2 Y /s! . | |||
l f/.1a's 11/ a/n 3$ / 1.~- CT-* 9 ?2.0 - H:/ 5/ TmdW - | |||
l Sw' < ~ A. <# / % A" = n'= 0:~ | |||
sz2r ~,=syA--=g. | |||
A % fcit ct%. r h A~', mCN= MJ d%.6 % | |||
c4 ' | |||
e4u t .n WA A. wa1/-J/ | |||
a n , A 1r i | |||
).esers ( 111 1 d i \ | |||
i | |||
$ U.1 s I " 1/-- K :A , 9 4 '4. ' s L 4 = 7 _ | |||
iis | |||
* i \ | |||
.m F= | |||
A 297/4 = f777 iii 5: | |||
5 = 14413/4 ~ 4h*? ' | |||
= l | |||
=l la t.0 | |||
( e1 | |||
- #6-4it1 1 11'ri) | |||
\ | |||
gI | |||
'ZU' | |||
,sj ,pa. se,/-u/ ~<M:. a,,/:. e g f", .r4,= a W,p,.-C.&- < | |||
= .=u j | |||
&4 &" *J .4J s A2'~~46 " :G- j p p'< ;1 4 __'1 : | |||
-- --- . .. ._ L.l | |||
* #de :.? / af;/ Ti~ l D'-os~- orte - M es< / f,,.cy L.: :- | |||
i f% TL a j a M ) i / / | |||
u - a67 t | |||
i M4 Sr / dp w/ :r.: ss -;;;<-eap / fm .4'a;. - | |||
l k$ % L.~, 7h~ , u. .. .s r& _ | |||
~ | |||
l l | |||
i ~$ | |||
I . | |||
t I i | |||
i i w- I | |||
/ =v ? | |||
i , | |||
i os | |||
U S | |||
6 5tivl 6 b:i <-S T9'M*r - <*i/m_T~AsL/ Cr' /0 s(/ & /fy h f W /_C ~.9f-A:0Y~ U0/2,. / [r # | |||
.h M y J/a.+ r4 e J & c/4, L L : \ | |||
A&M& , | |||
1 b) YAM! . | |||
g . _ . | |||
1 E | |||
**I. | |||
I iiiiii ; | |||
4t} Yk ad $ & l V'f X 'Y AY od: | |||
' b ^Q Y& | |||
i i | |||
w " } X47 J ra k : | |||
n | |||
}i ! | |||
p' f g g ( l'/y j9 . % 2 Y) ; | |||
M* O'- 2.111 '' # , | |||
I | |||
.. a \ | |||
~ | |||
W eme l .ns f w **syb , & | |||
* j | |||
. . . .. ; 7 - . : Qt _ pS v m ,, | |||
,.. . .. . . . .. . . .; . ~.e- . .,. | |||
. I fmW: T- t. ,oz,, . <,1,r, ,,.zar) | |||
~ | |||
0 "E ,*: 4 . / M . 4 > | |||
-rw - rs:s cs. san = mr is | |||
*t~w y g yya ,, j I y ,9 | |||
* pf j{, | |||
u f **~ Y / | |||
! = Y#, is,, : C 2 E 05% | |||
1 | |||
* I D -G t : | |||
., m_, , . As _. . *m' ' ' mat- | |||
==m- a ----C | |||
^ | |||
DMI- 6/ti/n- ws21 LJ64 /,;,ye | |||
: b. h ,-r- ) / ,A % 4 c ,. 8 | |||
~ | |||
% vAlfwL e.- 9 "9. AZ '/ p 0= VL (b~)(s') ' /b" | |||
% $ w!" p li' W paju, y | |||
F3 k* 4~ As"'* 7s Fpra- ox. | |||
e= ' | |||
iii / | |||
y* ? //0* * = l17fr: 2* | |||
Node //f/df' , il/ c. -or-ecc4'-HCo?/9 m'a's | |||
&w & a lf N yj d J) l. WS,r/S~f/Q&~tN'. =t l D T/ s.AL~.2 v.// A- :4 .-/dA.w:- , | |||
: 5) % . e M l w s x i r e = ''7 ' ' S | |||
: 4) T4 s #,d= A w N,p/TA W L J b4* M - ' | |||
Q m a n 1 w n m ,v - s ( u u ,. Ly M .) ~ | |||
pd raa <- J ,-r - | |||
)?M | |||
* dis C-re T) ~A~ i V -) W//r1-.7 & * ('c=,= 47 ,*4/] | |||
t lifG.M /~ I h 42 onwns: S). M.<.4-. /* EH/$~ 8L7 | |||
( | |||
/) //c /h - | |||
'' ;; | |||
* T4 M . s j 4 . 4 i< d 4 y,dd ~</-p r. | |||
.,, l | |||
:s: - ), -s j' 1 '/, " s 1.t, / J ~ w . 4, y 7 l 11.23 EUA ,q - / /2. | |||
* 7,4 7 ~ | |||
85 / 4, 'l | |||
* 3 p' | |||
~ 4, ' | |||
; s*y,32 , | |||
. [. .? I.71 tu>: | |||
* :' i.ol EUN 2,,X3.** &M &&*4h5 ~ M e 48 -i. Y3 | |||
{ | |||
::: ?'''a. | |||
: _. ?, s T,!,l /J,21'' "l.:7 cyc.* - //t 0 | |||
,O F a . . | |||
1 | |||
4/AM sf 6~lk W 11~- S~7 %.m | |||
'/ | |||
1'~ A w l 4 7/)/2 4 //J/97 T' f | |||
' /Vode *Ilf~ 6' z) /W4 }~p.4 O.-<: / / ~ .' , | |||
j W&p&: | |||
j, '/* | |||
% *= hkgs*, ty | |||
<ldj $ &J;.2r~- | |||
= //y "s MJ | |||
.- h,,.,,,,,,,:i .. | |||
n -''~:= ,As | |||
& ,M & er& .nAA*d4- & f4 % | |||
, . W \ K w.se- .4 J i 4M n egza - | |||
N._e | |||
/4& s ~h hm - | |||
m . | |||
m . | |||
S | |||
=l - | |||
3 ) t/ f.,4,,./ lu m | |||
,l V LI .& A. | |||
di,/ yt 'it "- Wh "= | |||
4, 7lc p'1"- | |||
2 7 ''= 2 7 ", | |||
l I 9 " &~2'* C 7= o W .h & w '* 4 ~ q m .4eA.A ,.~ u v'J,.=J,f | |||
,? | |||
~ iklJL- L = 21 O *E* | |||
, g,37 4. = / 7 l | |||
s.se nw . | |||
F = 4.'1 i *? - 1 = f,72. | |||
u.ae w | |||
%h-g% n).w | |||
~ | |||
so | |||
" ,/ w u w h | |||
.i | |||
-.: .' . .s.n n = | |||
- = - - 2.1 i<c - ^11. | |||
,,, | |||
* 2,- | |||
s w p= ,,4, --g ., | |||
{ 22: 4. 4 ' | |||
'l* #/ !% 4' 7 '* /<O 81T, N l | |||
!!: ?! | |||
y W s S' k Sal / , 1f7 * /, 2.9 )<C. | |||
e,= 4. | |||
s M MMA Agd, u.= -2.n x.:, | |||
v) n: A' d, Ad}& ,.%.Q zd. | |||
% & w d/.a .is4 2z /,@ ts(2 A -< | |||
H c4 - | |||
./%A wa & 7A J a m _u > | |||
1 t | |||
. D -9 I I | |||
&42.pGM:.h '- N:' Y' *'] '' & | |||
vn t. 4Adn scwn: Ln $sA' n nr>E2 | |||
// ,/ | |||
.,V5t /Ib' s' 8 | |||
Y) TA W-10x 20 M .f ,ss w & . d f | |||
~ - | |||
. .b~d Z;C. & | |||
g* C4 suy+ . ,-Z.a.* n-f4 2.' f R.n) &nm | |||
& & m, ( evi 74 w, 4/- . | |||
./dn -;r - 7 | |||
. a/A->~ A. m wm n | |||
*f sbm " | |||
A <_ays.Zd d- | |||
~ | |||
r l$ | |||
:= | |||
/Vi de / 29/ a,y , fr/ g.,- - pr-3 gag-yas6 / ,jd 5,, | |||
f 9& W f w W Y h f / ~4* M-k & % k W l w s A L , = ). | |||
2x -- a s.rz. n < M +s,w.~ 4~:. | |||
" de //2r/ sp. <s/ 2 -n-;sn-xcoi/ /.x.ra/ | |||
~0 " ~ r M 4- & w f,p. A - | |||
.2) ?L / M c.ry n xt'z'V'i m M *t+ t | |||
.) S~.;a&4,-.#n) dd+r/ & & $ & | |||
O I:4 hg c . x's.7 x 7 ': 4 '' A u M GG Ab,~,a ?:) c D'- | |||
Ms &r.) | |||
: 4) 3 *- f MG3 M- C E-3 w | |||
a.:. ,,.. | |||
M F/~#- M-r M l | |||
:s; | |||
,;$ 1;. . l = l ' 2 & '' * /Mi' A. J/2 '- '7, :s '' | |||
: i. 6 C~ P = g ,J. ic c | |||
.y''' | |||
,' ' ' 7* 3w I , [ P M , s . M s5 7 *,7 7 /* 7' ifm 1 1. 4 7dn ~ l | |||
.= :.a5 - , | |||
l | |||
)./ L '^ | |||
:, - hW- , h]i<C ,) ,* - ; d l | |||
f, | |||
* L i /t,' 7 = i,4 v: , , | |||
sa l g | |||
,,,,i : | |||
m usst ?J . | |||
<r-rt rwa 4J 69dt? ' | |||
1'//JiIr'S~~ | |||
f/ / . | |||
/Vode /2r~ | |||
: 2) *l'Is & w.4/4 V r>, 74 | |||
^ a 4 f/ ~ /# | |||
e -sj~,'A r/a. | |||
C & & , L ;A k =s W " | |||
PA n r.s / s w a _. ' L e> | |||
pt ddc .b: - - & % .e - A -) | |||
g 4:L zhw)/4 Q4. | |||
of,. g/ry i;tk=.e &ff* b4 | |||
=u m da/-:= | |||
A/t.e-tot-9-9mt 914 & ,Z./c}= m 2/1i A sda I$ + La , &w & % E-2 | |||
'2 E | |||
h.<.AL.y -~<//h AQ 4J-] AJAW J. | |||
=: | |||
R=k= / | |||
: 1. a ' t. 9 1 ' I, 1 2 x :.:r, bk. - | |||
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l ew A g s..; y uuA l | |||
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m !O y n- | |||
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1 A NAf,2_J A Z,$ fed 4 , | |||
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wa q y.J. .;c.4 x. x A w | |||
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3.200 AUH - - - | |||
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31 -2.751 4:. 3. xx e . | |||
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q d= 6.7?" - | |||
~ | |||
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l 1 | |||
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3 ) iL w *x -r"*.,4-.-p-& | |||
v) % .ar t & WN. | |||
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9'~~ | |||
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134 | |||
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~d Am p? m n e, ' ,Jf.47 1 | |||
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4}it W , & e e<. J ..a..m p6- My s-y , | |||
n -e , | |||
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* 74 l Sec R | |||
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l 49 /'*7'M | |||
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l.. ;: .t e:a i D-49 : | |||
scATE )' | |||
c3 3. Af 3.54' 04 f.7f f.7f C Z. CS 3.36 C6 3.76 | |||
* 7d' y 07 7.S 7;d' | |||
@ 07 7.5 7.6 | |||
~ | |||
9 niiii 0? $677 -3676 | |||
=_l | |||
! /0 6. 35-/o 6.SZE-to - | |||
/d 1.13E + C6 f./ZG +06 ' | |||
-" tax x .C007 . 0000$ . | |||
-: t!',' vy ~.0007 . 000/? | |||
i: W:y ~4.7Z8-/6 !.S!E -/C | |||
~ ., | |||
< Mxx 1o46.Cd - 9 7. 76 .ibh r /n yv 9EY.07 ~ CE?. 60 'N i: /71xy ~$.708-0 ? Z.766-04 vo7Af W or Tz //, I6?. 3;" toff. 74 It,5c7 | |||
' @ /0, s'?b. 7? - Z$73. 04 IZ,17& | |||
:: Txy ~i.9fE~CT 3.?$5-C7 6.905-C7 M | |||
d | |||
sure "d' | |||
. *8h c: :.75 s. 7s C4 s.5$ $3C Of :.76 6. 7S C& S.36 f.Z4 07 to.C Q | |||
to.? - | |||
Q 07 10. 5 to.? | |||
u_a - | |||
iiiiii of 16 1 -14# | |||
:=1 l to I.t&E-09 f./?A -r? | |||
/! f.$E5&CG ~ $.$$$rC$ ' | |||
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way -/.146-IV -3645-/d .y.. | |||
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/n xe 37fSo -s/6.17 =S | |||
/nyy 573.44 -79.9C - | |||
/nxv -Z.6SE-C1 -6.ts/E-C4 're r? '. | |||
7x 6,737.90 -1,tEV.?? 7.983.7 71 6,837. b7 -Z, tS7. 7S 7,697.40 Txy ~6. 25 -C7 -1.476-07 3./C 5-C 7 i | |||
e i | |||
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3: .. .. .- _ . | |||
t | |||
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/ p#/,4 \ | |||
, w % .7/s/Ct&t St l i j.S' 9 < | |||
I | |||
; f* m m i \ d 1 did l I t | |||
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M 85 | |||
*-pg I' | |||
Sl 4 '.TmL.f; A s _. | |||
-:lr '' | |||
c /J; ICE 2 !.Ub3: | |||
C/T' t l' a l' lon] | |||
fnta.r: zodo Ty = TO(/) - S/0 5 71 < | |||
.. 14,@o pai s._ | |||
5 ceuite64 &UMA : ~$.; | |||
.g er a. &nnnul di40 clarna an/h S/7' }o/hr, ~ | |||
allowalli 10%d - | |||
MSO /bJ } Ze# /b1. | |||
:*:Ustasz : $2/.U 9 ;/J u & e z a + c l e v/; E 5 : | |||
; A;sumt &nnnul , carts - | |||
/zrf A/ lor,vah/L !ca.d (tb;) | |||
l Z?O 37/O | |||
/W 57/S | |||
(&) TZ, rupe 4 Za@ /!adC M" , | |||
l Achtal !c.z d s 4 alcatal/ts i | |||
h I | |||
f | |||
* t | |||
_b-7 i l | |||
z casinz a e r s x 4 x i'-&h' : | |||
Considt.r as a. Rud-19xed bearn w/ /oads app /itd a.F cinhr - | |||
toto /4. | |||
s a r, | |||
'A M m | |||
j- /s?/ 8 | |||
!H h .$1id./* l o'y = to30 l? - 17i p;; < t4,4o0 pit | |||
: m. c.7c | |||
!!iii | |||
=_i NMdtnt]: a = 3. 76 /W - Zg = Zy = 3.Da in d ylj Y | |||
to = % = 0.93Z in. ra = 0.374 in , | |||
Y # | |||
ds t Zu = 3.73($7'0 = 0."$7 in # | |||
"\ l z v- c(z. z:) . =n - :.coz in ' | |||
2- :, VA = -I. IT | |||
~ | |||
f1 ' Ve = 1.477 ve = 1.477 ::h V - | |||
.tJA = 0. - | |||
t.lg = -Z. 796 de= Z.7?6 ..lE; t.t _ | |||
e | |||
/nu = ~~707 fto 20 %$ l4) = -! d C0 in -/b 7 . | |||
Inv = 707 fioZoVidd /d) = idC0 it)- /}}. | |||
7 l | |||
(T A * -I'l30f~/.$17) = 199$ pst < Z/,600 $J/ , | |||
. tn , | |||
j i : | |||
(Tg = -IdE0fr JT7) + Id7) f- ?. 796) m 937/ p;t ( g/,gccpt | |||
.1?J :.60Z i i , | |||
Q = -J d2Dit.s/77)_ + / EC d /'t. 796) = | |||
- /104 p;t { 3/,6.cc p;/ | |||
, .??Z f.SC ?. | |||
.D -7 2 | |||
h.:..* | |||
CD/JJi452 4 d x ? Y 'h v d'-/O' considir as a. Mud-&td own ali/h / cads a,cp//?d as ;/:oton - | |||
:$ # sio# | |||
- l | |||
=5 v jg ' 9} J ax y # acerm 4" 4 | |||
I, y f, e, | |||
,L ~ | |||
4L ,,. -1 | |||
*E. | |||
Elfi | |||
= | |||
~ | |||
-1 $ta.7 : fy = | |||
3/C/0WA* (:)(ii) ef/] = Z33 psi < d 400 ):/ | |||
$ i | |||
: c. - | |||
: d. 7 | |||
.. ff.nd/nd : /7?,,, . = ZlsioVi:)f-YY 4 6 q t-y in .jf e | |||
.. 46 a 11a = ~. 707(6949) = -49/$ in-/h fh]! | |||
1.4 triy = .707 (61V9) = 49/ In-!b ^R T, = -+!9/$/-i3/7) = + b?Of p:i < 3/,600 f;/ | |||
l 93 l ! | |||
. 7g = - </9/$/'t.fi7) + 49/4/-% 796) = it, 6&d p;t < t/,600g;; | |||
.437 $603 i i ! | |||
I l # | |||
Q = -49/?//.d77) + 49/$lC.795 ) = - 7/~1 p si < 31, Sc b p;i | |||
!. .s:2 . sot ; | |||
l . | |||
1 rcraon : | |||
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. z :-t D-74 | |||
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/ 3'/fl | |||
=_l | |||
.j G o | |||
' -Q - | |||
mr <-b I r,.a -e e t ~ \ = 1 8 th. | |||
gg/d,3 # | |||
* l 78 A7I i | |||
>~ , | |||
o - | |||
F-:.r f3 ' d - | |||
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~ ~' | |||
'(MS-N)(</z) _ | |||
Jar vi < is,aco pri _. | |||
l | |||
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shta)" : Vy '' d!9 =,160 ps/ < /f',/00 $Jr i | |||
z(iiv)(sh) 70)2/M : 7p = dl9 ~ 160 pst < 3!.6c0 ,c st (v'N - O(#N) | |||
, - l dt.nding : 7= | |||
9 rec 7 /!!a It ) - a:00 psi < zocci;;i | |||
</:N(:N'f ft3 l, I | |||
a ~ 1: | |||
: s. ,- , | |||
. s consisee setrs er */4 ' i9s. .r-sV /Adips - | |||
:htar = 1:4 14 < 16,:16/s - : o 14. a//swahlt 7tnzien - asA - 47z tb. < ir,w/r - ::: th. at/ao 4.ZS . | |||
m | |||
* h | |||
= | |||
ice /* di//7 20/f - | |||
m | |||
@. # tar ~ 4/9 lb. < 36m/t = ::75 /4. .u/sead/t | |||
=> | |||
=! | |||
7ansion - 47z th. < nt,cos/r - troo /b. a//sx,'. | |||
M I 60il2/028 .i2 2 L s : | |||
4 3*:t '/Z /c 4 3ef t '/t ~ | |||
46 '' M//df Aid 2.i~ .* Ty = 10 ?Ol2 ~ dB/ psi | |||
.707 (?llb)(/3) | |||
-a (mding: %~ .azens#fA/r . - - , - coZo psi $$ | |||
. .%7(Vib)[#!'i'lW!Y & | |||
70~ ht./ : 3:V/ $7/ | |||
l i i | |||
l I s 3v$x 'lz lo anchof - | |||
Vib " R//t/ | |||
! l Ilit2f : Tv | |||
* Cff/O)fitf:(t?) ~ | |||
* f76 $7/ | |||
a-: - -' | |||
,707 Elis:(iz') | |||
i i 8 l $U'd/MO ; | |||
* 4AO ' | |||
7n' , 6-??? $st | |||
.767(#/*)[//*Y?N b e/'-*\'] | |||
TC/~5/Cf) | |||
* 7= 2 t'?CC f- = 36 9: 'Cpt 70 7 (://6),S' ~ "/>''/''' l r&(:* ) - | |||
~7Cr 7d"ii;U l /C. C68 $5i 7ii; : ,c/;:r! .y7:t .it:* a,eeip,/9 b/t. | |||
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nr 9 4 -? , allowahlt load - soco is- zevd P G l | |||
. - 10,:tts ibs. avtl.:-e l I | |||
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.w | |||
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l uniS . =ES 2 d- A . 4:6 v s I ie.o S , | |||
'- I J/'/J i ! | |||
Al9/ : 07, = C 4 2. | |||
4.fb | |||
= /s3 pst <tJ.dCC h/ | |||
/f/.?dtf.): /7; | |||
* 52 'l/ 'ld = l/9l f:/ < 3;~, 's: ,r.,p | |||
/S D-7~7 I I i | |||
~ | |||
a s. | |||
49/27/452 Lu&f: 09 " r l' 2 p' fc/pd | |||
$ddl~ ' 0'y " .,!l.$w# . | |||
= l W $3l f id,YCO $3/ | |||
V(!)(Z) | |||
I cea:tose sass surE;: t/4 ' a to ' x to ' - ; | |||
!H - | |||
!H | |||
$ ^ | |||
l m | |||
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3:0f U p | |||
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1 7 ywz1 . | |||
t imditq : Censerva.h:it.!u cc r si dt.r ;!. d t .r. ; .2. ;iirp/u i rupper/cd df.un avP irmit:/- asp //td Lh e //h dr - , | |||
i T* b 'll943 .'-W /3 ) - f; fff p;t ,g 34,76 c p;; , | |||
. 7YZ(#/4)#//Z $5. ; | |||
' Y. . i. | |||
Ala./* l Tv ~ El* 2 -- = /Zo fs' < // 400 psi 7 | |||
4(i'N)(:/4) | |||
Waton : 7+ " !M - 78 p;i g .:i,6:s ;;i | |||
[io-z(-?u.W, G) | |||
I | |||
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g l | |||
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t/sw; /c air - | |||
4' MHd, a)/ .zrcut:d 1Srion : n- S 2- - 35.5 pri | |||
.707('N)(aZd)(4) - | |||
e te fa.ft - 'N' Md, aj/ arcand | |||
# tar : | |||
q= E42 - M / p it - | |||
g 3('4)(.707)(:9) , | |||
2!!I. | |||
iiiii - | |||
~-~~1 du:dmq: q= lid 43 = / t19 psi xf ri | |||
.7c7 (H)(6)(s.?+') - | |||
ew:. wee a:se swa . | |||
krum& 2. 6' ennod/ si e n:u- d.orp : | |||
J/foaahlt / sad - sNo /bx > //JS /b1. ;,.; | |||
'" .%;flc, | |||
::9 l e. | |||
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~ . | |||
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Co?M // n.:?. 34'l m | |||
lf ,,e-s _9 was: Iwe4] + (ssa'+ Ain Y* = /007 tbs. | |||
m . | |||
1H | |||
-- el".dfiDG2 .uJufCE2 . dura, ciswa - | |||
:= | |||
m un, | |||
- er ennne// A4. tot 2;sunkk /, at a//owab/t . | |||
nni | |||
:::t Ica.d = e,sco ths. > /sst ths. | |||
~~ | |||
' e CC/JJiDEE w!!.45 : - | |||
c'tvis ,c W L is base p/Ut - %' h//el as/ 2rou/;d | |||
# tar: ry - isc x: 6 - W/ psi | |||
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M, 3 | |||
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cec:inee es:e sure - eir: : | |||
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f 1 | |||
i | |||
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t e.b t l' c' | |||
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.t J ~ | |||
J. | |||
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l ! | |||
i i i | |||
I | |||
)~h | |||
1 a | |||
w A l | |||
~. | |||
findinq : @l/04 n.'h i | |||
... z,._ n_. . | |||
' ~i 7" | |||
~ | |||
q, = albi + wh) filz !D . /M/4 pyj g y 730 pyj | |||
:. Y ., 7(hf/ is | |||
,. Miten : avd- - zSo ,osi < zi.sco pn jjj 9 - [1- 5(W)]'/a _ | |||
m n! | |||
*B. shtar: - ry = 4W =, <tri7 p ;i < sy,yco p n Ei.!: | |||
9(i>('/c) | |||
C. .fteend , canzider bc# /ca d s Azhnq into .zce,:un? | |||
tec dn/ rte ben p:tHtrn : | |||
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l B. sbr | |||
* in doing so. ' | |||
.ht2.7 : 7, ~ 274 - | |||
zH /b/ Een l l 4 : | |||
1 - | |||
l Tension : cn = tst e 3/64 = Rol it/bc.!h I-3 (7') I | |||
\ | |||
l . | |||
[ t 1 l h/* $'~'' h//b $.y/b [cYs | |||
.5"d :.!!/it?'J.Et. Nt.2/ | |||
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D-?I | |||
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L 93.zw " VJ ' h//ef, t . rides | |||
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a.. | |||
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t.c44;; . | |||
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Ianh +TI + (sse*+ Am'{~ , | |||
, = % 2 tb s. | |||
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R eca:itse :aceezz . cump. aevis : , | |||
m. | |||
AIJUM d 0 Wl ' 1.2C/AC 2/LM/7MC ffA -l ,c.1/,4;: | |||
@I .s i Allowab/t /o.id - ecco it; avd A q q'l | |||
' 10,:70 lbs ' | |||
:. 6:st/ C = 4 CC/JJi4EE eJJE JLJ78 : | |||
^ ~ | |||
t - qat 'a , | |||
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O . b | |||
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~ | |||
?w' 7, '- . | |||
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St O l- w / . | |||
m, . eg . r id,. mt 'ss/z ) - ssn p:t < ze.nc .o:i | |||
{a 4 Z 7(W)*//g m _ | |||
.l.H EiE m | |||
- 21l, CCJJIME2 /?cl. 73 : | |||
iiiii | |||
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al 6 y? . | |||
I ' | |||
T! niton : Cons /ddr CCrntr fc//;* Cr/y - | |||
/ff_Y -- f?/ | |||
Y | |||
= /36 //ls://- | |||
*&(76) | |||
\ A/00'.!2h EC/f h/ft is str b7: r '''. this! .'sJds :: | |||
I Mfid G.Ccip/2.'C/l 2r ?!d' ect:.rt.ft .tr.'hcr;* | |||
_l1;j. | |||
i? | |||
:d. | |||
det] J/D S c V2 =f 1)J : | |||
!!!vt7 plaf4 .& kut s/2.fL - N | |||
* R//t/ .u! uc:.'x ' | |||
i ;hty: 0y = W1 - </:3 p;i l | |||
: l. .7C7('/4)(/0) l i Terrien : q= A?! , M14/s - y/3 nii : | |||
e 707(;'v)(/c) i I i | |||
: i | |||
? | |||
8 l | |||
i I l | |||
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* O G | |||
6 2-64 . | |||
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:r-et- 6ec7 -//? P t'!J *< 4 ~< 6 ' /ct a N | |||
J< x o.c.e I UM;: rn; ., ,- o. | |||
g A x | |||
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g I to r 49 + Tl = lc thy. l | |||
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2 V, | |||
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= 479 f;/ g sq.397 93/ \ | |||
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i l rize:t / cads a,sple reascoab/L nr Yv" concidt | |||
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.29to.r : &= 366 - is/ p:i | |||
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Latest revision as of 15:00, 19 November 2020
ML20199H271 | |
Person / Time | |
---|---|
Site: | San Onofre |
Issue date: | 06/30/1986 |
From: | Russell M EG&G IDAHO, INC. |
To: | NRC |
Shared Package | |
ML13324A929 | List: |
References | |
CON-FIN-A-6808 NUDOCS 8607030248 | |
Download: ML20199H271 (240) | |
Text
a. .
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Attachment 4 LTS PRCGRAM CCNFIRFATORY ANALYSIS OF SCNGS 1 PIPING AND PIPE SUFFCRTS s
M. J. Russell
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Pubitshed June 1986 EG&G Idano, Inc.
Idano Falls, Idaho 83415
?recared for :he U.S. Nuclear Regula:Ory Cc= mission Washington, D.C. 20555 der CCE Centrac: No. CE-AC07-75IC01570 FIN No. A6808 c
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ABSTRACT A series of confirmatory piping and pipe support analyses have been performed to ensure that the criteria and methodology employed by Southern
- California Edison Ccmpany (the licensee) in seismically upgrading the San Onofre Nuclear Generating Station, Unit 1 (SCNGS 1), are acceptable. Four piping systems--SI-51, SI-04, S,I-158, and a run of SI-51 tubing--were subjected to confirmatory finite element analysis. These analyses were performed to ne requirements of the USNRC Systematic Evaluation Program (SEP) guidelines and currene industry practica. In addition, the run of tubing was subjected to a confirmatcry hand calculation. Supports for the SI-51 and SI-04 systems, a total of 50 supports, were also analy ed.
Results of the confirmatory finite element analyses were compared with . ;.
.m those of the licensee. Results were compared for the tubing between the '
. .f.j[
finite element analysis and the hand calculation. The conclusion was drawn ' 21 that the criteria and methodology employed by the licensee in analyzing the piping and pipe supports of SCNGS 1 meet the requirements and are acceptable.
e 11
1
- e i . ,
ACKNOWLEDGMENTS This repor. is a product of the effer.s of several people.
S. L. Morton wrote the first draft of the report cnd did much of the piping analysis. Much of the pipe support analysis was done by V. 3. Call and C. Edgar. 3. J. Quintana providad invaluable technical assistanca.
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CCNTENTS ABSTRACT .............................................................. 11 AC KNCW LEOGM EN T S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iff
- 1. INTRCOUCTION ..................................................... 1
- 2. PIPING SYSTEM DESCRIPTICN ........................................ 2
- 3. PIPING SYSTEM SEISMIC ANALYS ES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
- 4. PIPING ANALYSIS RESULT CCMPARISCNS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
- 5. PIPE SUPPCRT ANALYSIS RESULT COMPARISCNS . . . . . . . . . . . . . . . . . . . . . . . . . 13
- 6. CCNCLUSICN ....................................................... 15
- 7. REFERENCES .......................................................
16 APPENDIX A--CESCRIPTICN CF CCMPUTER CCOE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A-1 APPENDIX B--MICROFICHE OF COMPUTER CUTPUT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-1 APPENDIX C--SMALL-50RE PIPING RAND CALCULATICN . . . . . . . . . . . . . . . . . . . . . . . . C-1 APPENDIX 0--PIPING SUPPORT CALCULATICNS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0-1 w
. 2r
=a FIGURES
- 1. Isometric o f the SI-51 ccmputer medel . . . . . . . . . . . . . . . . . . . . . . . . . . 17
- iifs
'T 2-6. Partial i semetric of the SI-51 ccmouter medel . . . . . . . . . . . . . . . . . 18-22
- 7. Isemetric cf the SI-04 ccmouter medel .......................... 23 8-9. Partial i semetric of the SI-04 cceputer medel . . . . . . . . . . . . . . . . . 24-25
- 10. Isemetric of the SI-153 c mputer medel . . . . . . . . . . . . . . . . . . . . . . . . . 26 11-13. Parti al 1 semetric of the SI-158 computer model . . . . . . . . . . . . . . . . 27-29
- 14. Isometric of the SI-51 tubing c:mputer mecel ..............,..... 30
- 15. Partial is: metric of the SI-51 tubing model .................... 31
- 16. North-Scuth response spectrum for SI-51 . . . . . . . . . . . . . . . . . . . . . . . . 32
- 17. Vertical respense spectrum fer SI-51 .................... ...... 33
- 13. Ea st-We st re spon s e s:ectrum fo r SI-51 . . . . . . . . . . . . . . . . . . . . . . . . . . 34 iv
- 19. North-Scuth response spectrum for SI-04 . . . . . . . . . . . . . . . . . . . . . . . . . . 35
~
- 20. Ver:f cal response spectrum for SI-04 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
- 21. East-West response spectrum for SI-04 ............................ 37 j
- 22. No rth-South response spectrum for SI-158 . . . . . . . . . . . . . . . . . . . . . . . . . 38
- 23. Ve rtical response s;ectrum for SI-158 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
- 24. East-West response spectrum for SI-158 ........................... 40
- 25. North-Scuth respense scectrum for SI-51 tubing . . . . . . . . . . . . . . . . . . . 41
- 26. Ve rti cal re sponse spectrum for SI-51 tubi ng . . . . . . . . . . . . . . . . . . . . . . 42
- 27. East-We st respon se spectrum' fo r SI-51 tubing . . . . . . . . . . . . . . . . . . . . . 43 l
l TABLES l
i >
l 1. Pipe data and material specifications--SIS problem SI-51. . . . . . . . . 44
- 2. Pipe cata and matarial saecifications--SIS problem SI-04 ......... 45
- 3. Pipe data and material speci fications--SIS problem SI-158 . . . . . . . . ?6
- 4. Pipe data and material specifications--SIS preblem SI-51 s tubing ........................................................... 47
, pg
- 5. ~ .w, Pipe system valve descr_iptions ...................................
48 134
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- 6. Summary of first ten natural frequencies and vibration--SIS model 51-51 .................. periods of . %i
. . . . . . . . . . . . . . . . . . - . . 49 -
, 7. Summary of first ten natural frecuencies and perieds of vibrati:n--SIS mecel SI-04 ....................................... 50
- 8. Summary of first ten natural frequencies and vibratt en--SIS mccel SI-158 . . . . . . . . . . . . . . . . .pe ri eds o f
..................... 51
- 9. Summary of first ten natural frequencies and pert:ds of vibratten--SIS medel SI-51 tubing ................................ 52 1
- 10. Compari sen o f stres s re sul ts for SI-51 . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
- 11. Comparisen of stress results for SI-01 ........................... 54
- 12. Cemoarison of stress results for SI-158 .........,................ 55 13.
Cemaari sen of stress ratic results for SI-51 sucecr s . . . . . . . . . . . . 56
- 14. Com;ari sen of stress ratio resul ts for SI-153 sum: orts . . . . . . . . . . 57 y
(.. .-
l LTS PRCGRAM CCNFIR.*ATCRY ANALYSIS OF SCNGS 1 PIPING AND PIPE SUPPORTS
- 1. INTRCCUCTION A confirmatory analysis of the piping and supports at the San Onofre Nuclear Generating Statien Unit 1 (SCNGS 1) was requested by the Nuclear Regulatory Commission (NRC). This analysis was performed in an effort to verify a portion of the SCNGS 1 Long Ters Service Seismic Reevaluation Program,' (Reference 1) specifically, the analysis techniques utilized by the SCNGS 1 piping and support analysts for the LTS Prcgram. Three Safety Injection System (SIS) piping medels and one SIS tubing medel were selected to represent the wide variety of pipe si:es incorporated in the plant. The
~
four pipe sections chosen for detailed examination were SI-51, SI-04, SI-158, and SI-51 (tubing). Empnasis was placed en modeling tecnniques, accuracy, leading cenditions, and pipe and support stresses. This report summari:es the ccnfirmatory analyses performed on the four mecels and associated supports. It also provides a ccmparison of results for the
~
analyses done by EG&G ani ay the licensee, Southern California Edison Co. ;i
~ '
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- a. Hereafter referred to as tne LTS Prcgram.
1
s
- 2. pIPfNGSYSTEMCESCRIPTION Information pertaining to the details of these piping systems was provided by the ifcensee. Much of it was verified by independent line walkdowns by the author. The information provided contained the latest as-built pipe dimensions, pipe specifications, valve weights, response spectra, seismic and thermal anchor movements, detailed pipe support drawings, and other miscellaneous data required to perform the independent piping analyses.
SIS problem SI-51 includes' the piping between feedwater pumps RS-G-3A and P4S-G-SS and the six-inch branch piping fr:m this line to the containment sphere. Figures 1 through 6 are c:mputer model plots defining problem SI-51. The non-safety rel.m d piping included in this analysis, shown in these c:m: uter plots, was provided to include its effects on the safety related piping. SIS pr:blem SI-04 includes the piaing between pump SIS-G-50A and feecwater pump WS-G-3A. C:mputer cocal plots, Figures 7 through 9, describe the pr:blem in more detail. SIS problem SI-153, seen in Figures 10 through 13, is a small model which incluces six-inch piping from the containment sphere penetration B-la to the cold leg of reactor j
coolant loop C. Finally, tubing problem SI-51 is defined in Figures la and f
' Rfe 15 The tubing runs from flow trantmitier SIS- F-912 to valve ^'"
870E-3/4"-T57 (on the SI-51 piping). ,
Tacles 1 througn a lis: the significant pi;:e cata and material s:ecifications utilized in the analyses cescribed in this su. unary. Cesign and service conditions are also included in these tables.
Various service levels were analy:ed. This included deadweight, pressure, thermal expansion, thermal ancnor movements, and the inertial and ancnor motions due to the 0.67' g modified Housner res;:ense spectra earthquake. These analyses were ;erformed uttiiring the ASME Code Class 2 rules (Reference 2) as specified by the SEP Guidelines (Reference 3) and c:mearec to the stresses calculated by tne licensee.
2
- 3. PIPING SYSTEM SEISMIC ANALYSES All four finite element analyses were performed using the program .
NUPIPE-II, a proprietary program developed by Quadrex Corporation.
NUPIPE-II capabilities are briefly described in Appendix A. Idaho National Engineering Laboratory (INEL) pregram medule V4AGINL was utilized for these analyses.
The piping system data, drawings, and response spectra necessary for these analyses w' era provided by the licensee. Th'e fcilewing assumptions based on experience and engineering judg=ent were employed where -
information was missing or inccmplete:
- 1. All components meet the. dimensional requirements of the standards listed in Tacle NC-3132-1 of the ASME Code.
- 2. The requirements of the ASME Code,Section III, Sucarticle NC-3640 are satisfied. This subarticle deals with ensuring adequate wall thickness of the compenents for :ne Cesign Pressure at the Design Temperature. Since the change in de, sign ..
. 3 ,,,
. requirements involves the seismic lead case only and pressurs _ 50:
' n ey stress has been included in the seismic analyses, an explicit ' iEt .
check fa,r adequate wall thickness was deemed unnecessary.
- 3. The only thermal mode assumed was the normal cperating mece.
A summary of weign and center of gravity information for all valves on the four safety injection piping,models is contained in Table 5. This table also includes the face-to-face dimension for each of the valves.
s The four medels were anaTy:ed.for weight, thermal expansien plus thermal anchor movements, earthquake, and seismic anchor motien (SAM) leads. All were analy:ec in accorcance with the SEP Guidelines (Referenca 3). Details of the analyses not. specified in this document were in accorc with standard EG&G piping analysis cractice. These details were 3
l
N at a level not controlled explicitly by the regula: cry process. There is one exceptien to this. EG&G SAM lead generatien me:hedology involves -
envelopment of structural motion displacements in :he area of the support to cbtain SAM values. These are then applied individually, with the results ccmbined by square root of the sum of the squares (SRSS) combinatten. Preliminary result ecmparisons shewed significant differences between EG&G and utility SAM stresses. This initiated an investigatten to identify the source of the differences. A differen: SAM load generation methodology is used by the licensee. SAM values are cbtained by interpolation between apprcpriate structural =ction displacements, with either algebraic er absolute value ecmoination of leadings depending en the location and direction of the su ports. The basis for this me hedology was evaluated, and it was found acceptable. There are a sufficient number of points on the structural steel medel with asscciated SAM data c allcw interpolation for support point attachmen SAMs. Algebraic ccmbination of specified directions and locations is based en a study of the motion of the buildings wnich cencluced that these particular directions and loca:1cns move in phase. Absolute summatica of the remainder is conservative. The licensee's methcdology was adepted in the EG&G analyses in order to prevent the potential masking of other sources of discrepancy. a.;.
- a : * ,
m Art additional analysis was done for the SI-51' tubing model. The A@s
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seccnd analysis of the SI-51 tubing was done according to the alternate calculation methcdology allowed by the licensee's s=all-bore piping cri te ri a. This =ethodolcgy was fcund to predeminate in :ne smali-Ocre piping calculations accited. It censists of an equivalen; static analysis based en a simply succorted beam calculation.
PVRC damping spectra ebtained frem the licensee's structural analyses were appropriately enveloped for eacn particular piping mcdel and used for the earthquake icad case in these analyses. inese enveicoed response scectra curves are shewn in Figures 16 through 27. The scectra were l
i applied in all three directions simultaneously and the results were ,
i combined using the square-rco: sum of the scuares (SRSS) me hed. All seismic anchor movements were a clied and com:ined using ne li,:ensee's me:hecology, as ciscussed acove.
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Microfiche c: pies of the finite element analyses are contained in
- Appendix 3. The small-bers piping hand calculatten is c:ntained in Appendix C. .
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- 4. PIPING ANALYSIS RESULT COMPARISCNS The piping finite element analyses were perfor:ed per the requirements of the SEP guicelines and the ASME Class 2 equations specified there. The results ebtained frem the loadings previously described were used to calculate the piping stresses. The small-bore piping hand calculation was performed using the methodology found to predeminate in the audits of small-bere piping calculations. Allowable stresses, cer the SEP -
t guidelines, were 2.4Sh for the equivalent of Class 2 piping and 1.3Sh for ;
the equivalent of Class 1 piping. Except for a small length of pipe near the reactor coolan: Icop' the piping analy:ed is the equivalent of Class 2 piping.
Althougn calculated stresses ,were ccmpared to allowable stresses, the [
focus of this work was a comparison of stresses as calculated by EG&G and tne ifcensee to ensure that the stress calcula: fen criteria and methedolcgy ,
empicyed by tne licensee is acceptable. Scme differences in mathecology i were fcund. Different techniques were initially used to ecmbine seismic
- anchor me:f on (SM) Icads. This is discussed in detail in Section 3 of this report. The licensee's technique was found acceptable and adoptec in ~k the EG&G analyses to prevent the differences in this mothedology frcm jys L masking any other differences which may have existed. Other differences in 'N mathedology wers fcund. This includes differences in valve and reducer el i
medeling techniques and anchor point stiffness calculations. These are discussed in the folicwing ;aragra;:ns. {
t As is ccmmen industry practica, all mcces of vibratien with natural frequencies under 33 H: were included in the cynamic analyses. The effects ;
of the higner frequency modes, the " missing mass effect" were autcmatically ,
inclucec in the results by :ne NUPIPE-II program. Tacles 5 through 9 snew the first ten modes of vibration for each of the piping models. The S!-51 medel was calculated to have 52 natural frequencies below 33 H: with red hangers mecelec rigidly and 50 without red hangers. The SI-OL medel ,
displayed A2 natural frecuencies under 33 H: with rigid red hangers and i I
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43 without red hangers. The SI-158 medel, which has no red hangers, had 13 natural frequencies under 33 H:. The SI-51 tubing medel exhibited 17 natural frequencies belcw 33 Hz. -
Comparisens of stress results are presented in Tables 10 through 13.
The first column of each table identifies the EG&G nede po'nt and the itcensee's data point at which stresses are c:mpared. The EG&G nede point (the first numcer) can be used to locate the point under c:nsideration in the picts of the medals (Figures 1 through 15). The next two columns identify the type of c:mpenent being analyzed and its associated stress intensificatien facter (SIF). The remaining six columns are divided into two sets, one for the seismic inertia plus normal operating load (SI) stress, and one for the seismic ancher motion lead (SAM) stress. This separation allcwed a clear identificatien of the source of any differences in stress results. There are three columns for each type cf stress. The first is for stresses frem the EG&G analysis, the second for the licensee's stresses, and tne third for tne percent difference between the two sets of results, with the average value used listed in the percentage column header. This type of ccmparisen was chosen because it emphasi:ed the most significant differences, those in the, areas of maximum stress, and because ,j it allows a c:mparisen of results among the aedels.
l Stress results comparisens were limited to points in the models with "
SIF greater than 1.0, and at support points in the straight runs of piping, since these represent 1ccal stress maxima. Due to the large si:e of the SI-51 medel, s ress results were c:mcared only in areas of maximum stress, which were found to be in the same areas of.the mecel in both sets of results. These areas were found in the vicinity of both feedwater pump no::les and in the vicinity of the branch point for the west side 6-in, line running to containment'. Stress result comparisons were presented for all of the SI-04 medel except for nodes 5 through 60 and those nedes associated with boundary c ndition piping (ncn-safety related), wnere the c mparison yielded icentical trends to tncse preseniied. All stress result c:mparisons are presented for the SI-158 medel . i l
l 7
l l
. i Ccmparisen of stress results for the SI-El analyses shows close agreement (see Tacle 10). The EG&G stresses are based en as-built data and stancard practice at EG&G with the following exceptiens. The red hanger support at nede 145 (Figure 3) was given full credit for vertical sucpert.
Although not in agreement with the as-built conditten, this reflects the licensee's decision to upgrade the red hanger to a full vertical support (typically done by adding a bumper near the red hanger to restrain uplift of the piping). This mcdificaticn to EG&G's SI-El medel was done to cctain an identical support configuration with the licensee's mecel. A two element rsducer medel was used in the EG&G analysis, each element having the section properties of the attached piping. This is in contrast with standard EG&G practice, which is to use a single element with the section properties of the smaller of the attached pipes, and to increase the stress on the large end of the reducer to. reflect the larger pressure stress there. This practiqe is known to be everly conservative, and the refined two element medel is used at EG&G in cases where the standard medel indicates an overstress.
There were also instances of EG&G commen practice ef fferent frcs :ne licensee's which were not changed. In EG&G common practice, ancher , . Jk stiffness is based on the associated pipe section properties, while the .?j-licensee uses a single fixed value. These are the default precedures found . . ~ -
~'i' in the two computer analysis codes used. EG&G valve element stiffnesses '
are based on a factored stiffness for the equivalent piping element, while the licensee's are based en the asscciated pi:e element with a tecoled wall thickness. Vaive masses are cistributec cifferently, although the center of gravity of the valve and total mass are the same. EG&G uses a single mass for both the valve body and the operator; the licensee uses a separate mass for each. Since the valve medels are included only to simulate the effect of the valves on the piping, tnese differences are negligible.
I Centerline offsets for axial supcorts are medeled by EG&G but not by the licensee.
! 3 l
Differences in common practice between EG&G and the Itcensee had no significant effect en the stress results, as indicated in Table 10.
Extremely close agreement was obtaine.d, with the maximum difference appearing in the area of tee cceponents. These differences are attributed to the accumulation of the differences in stiffness along each portion of the piping that terminates at .the tee.
The results of the SI-04 analyses did not c mpara as favorably as those for the SI-51 analyses (see Table 11). The EG&G medel was strictly as-built. This resulted in two differences between EG&G's and the licensee's medels. The vertical support at ncce 265 (Figure 9) in the EG&G model was located at the position corresponding to acde 250 in the licensee's model. The reducer between nedes 325 and 340 of the EG&G medel was medeled as 14 in. long in the ,EG&G medel, anc 7 in. Icng in the licensee's medel. In both cases, the EG&G medel was closer to the as-built c:nfiguratten, but both variations in the licensee's :cdels were within IE Bulletin 79-14 tolerances. The same differences in common practice found in the SI-51 medals were also found. Reducer medel refinements made in EG&G's SI-51 analysis were not made in the SI-04 analysis.
,. : _gy Since the differences in stress results for the SI-04 analyses were ,3}T; larger than those for the SI-51 analyses, an attempt was made to isolate '!.?
, the cause. The EG&G SI-04 model was modified to duplicate the licensee's -
support c:nfiguration, valve and reducer medels, and anchor stiffnesses.
Stress results fr:m analysis of the mcdified model were c:= cared witn no improvement seen. The location of stress variation was different, but the degree and numcer of variations were the same. The models were closely comparec and fcund to be as near to identical as could be obtained using different analysis c:mputer codes. "
s The source of differences in stress results was found in a contrast between the SI and SAM stress c:maarisons for the SI-04 analyses. The agreement in stresses is much better for the SAN load. This indicates that-the discr.epancies affect the dynamic analyses more strongly than the static aralyses. Differences in SAM stress greater than 10% =ccur only in l
l 9
L
'. *k
- reducers and elbews. This is not anc=alcus for the reducers, wnich are medeled differently, but it indicates that eibcw element stiffness .
formulattens differ slightly. The effect of this small variation is negligible for the static (SAM) analyses, but can be significant in the dynamic (SI) stress results. Such variations would have little effect en the calculation of the icwer frequency medes of vibration, wnich are more accurately defined than the higher frequency medes in dynamic analysis.
This characteristic makes the effect of minor variations in elbcw stiffness en stress results dependent en the frequency centen of the respense spectra used in the dynamic analysis. Response spectra with relatively more excitatien in the icw frequencies, such as the SI-51 spectra, generate resultant stresses with larger contribution frem the icw frequency medes.
The effects of the elbew stiffness variatien are attenuated, and the stresses ccmpare closely. The SI-04 spectra, having relatively less icw frequency excitation, generate resultant stresses with relatively mere contribu:fon frem the higher frequency medes. The effect of the elbcw stiffness variatica is emphasi:ed, and the stress ecmcarison is less ,
favorable.
The existence of small variations in albcw stiffness formulation is -
not particularly harmful in seismic analysis, because the effects of the 't ;
variatien are concentrated in the calculation of the higher frequency
.~[.
response. Seismic events are essentially Icw frequency events, a result of the fa:t that high frequency metica is racidly attenuated in transmission tarcugn :ne ground. Large seismic stresses are therefere assccia ec with 1
icw frecuency respense, wnere the variatien in elbow stiffness is nc:
i significant. This can be seen in a c:mcarison between the maximum stresses calculated in the SI-51 and SI-04 analyses. The average maximum SI-51 analysis stress, which is in the range of :he SEP guicelines allowaaie l stress, is 2.6 times larger : nan tne SI-04 average maximum stress.
A cemearisen of stresses for the SI-153 analyses are presentad in Table 12. Goed agreement is incicatec. These results ccmolimen :ne conclusiens drawn in :ne discussien of :he SI-51 and SI-Ci resul s.
10 l
l l
e
- For an overall comparison, the differences in stress for all entries of Tables 10 through 13 were averaged for the seismic inertia and SAM
, stresses._ Cn the average,, EG&G seismic inertia stresses were 1:0 ksi higher, and the SAM stresses differed by less than 0.1 ksi. The difference in seismic inertia stress can be attributed to differences in spectral definition. EG&G spectra were limitad to 30 points, while the licensee's spectra contained 160 points. In performing the reductiun, envelopment criteria were imposed, which would result in a marginally higher stress calculated using the reduced spectra.
A comparison between finite element calculated stresses and allowable stresses showed the EG&G analyses and the licensee's analyses to be in exact agreement in terms of a conclusion of adequacy. SI-04 and SI-158 are acceptable with good margin. 5,I-51 had two components with stresses that exceeded allowable stresses. Both were reducers located on the discharge side of the feedwater pumps. This indicates that the licensee's criteria and methodology produce comparable results to those of the SEP guidelines.
Supports have been added to the SI-51 piping to reduce stresses to acceptable levels. ,
Sb~
3 =9?
A comparison between stresses calculated for the SI-51 tubing model- 7{.}z}{pj using finite element analysis and hand calculations showed the hand
(](j calculation to be conservative. The maximum finite element analysis stress TJ was 14.5 ksi, versus a hand calculated maximum stress of 71.8 ksi.
According to the hand calculation, the tubing is severely overloadec.
According to the finite element analysis (which is more accurate, and hence controls the conclusion concerning adequacy of the tubing), the tuoing is acceptable to the SE? guideline limits with large margin.
s Based on the detailed comparison of the results of three piping system finite element analyses, the criteria and methodology used by the licensee in analyzing piping were found to be in keeping with the SEP guidelines and current industry practice and are acceptable. The comparison of the confirmatory finite element analysis for the tuoing with the confirmatory 11
hand calculation showed the hand calculatien *-* ke
- enserva.4.ve and acceptable.
r r
e O
t
-,e'.*
S
- 'm %e
- e$
' ?k -c o
12
- 5. PIPE SUPPORT ANALYSIS RESULT CCMPARISCNS Pipe support analyses were performed per the requirements of the SEP guidelines and current' industry practica. Hand calculatiens were predominately used. Nominal stresses were calculated based on the loads supplied by the confir=atory piping analyses and ncminal member section prope rties. Loads on catalog c mpenents were c mpared to vendor supplied allcwable loads. Catailed finite element stress analyses were used in ca'ses not amenable to hand calculation. Weight and thermal loads were considered for normal operating leads. Thermal 1 cads were included only if they increased the resultant stress. Seismic inertia and seismic anchor motion loads were ccmbined by the square root of the sum of the squares mothed, and then added and subtracted to the normal operating loads to obtain the range of loads used in, calculating the seismic stress. In cases where the support gecmetry or leading was too c:mplex for hand analysis, detailed finite element stress analyses were performed. The resulting stresses were c:mpared to allcwable stresses definec in the SEP guicelines.
All supports en safety related piping of the SI-51 and SI-04 medals were analyzed. Since this led to the analysis of some 50 supports, 5,
analyses of the SI-04 supports were not performed. The analyses are qr;
~
a contained in Appendix 0. The supports for the SI-51 and SI-153 piping were 1 then ranked according to decreasing stress ratio. The stress ratio for a support is defined to be the maximum ratio of calculated to allowable stress fer all c:mpenents of the u:: rt. Hence tne su: cert with the hignest stress ratio is the most hignly leaded relative to its allcwable load. The licensee was requested to similarly rank the su:perts of both systems 'and to identify the su ports with the largest stress ratio. For each piping system, the five supports with the largest stress ratio according to the EG&G analyses and the five according to tne ifcensee's analyses were merged into a list. The lists were reviewed and fcunc to centain a representative sample of the types of ccmconents f0und in pipe supports. The calculations supporting the stress ratios ac; earing en both lists were tnen subjected to a cetailed comparisen. The :urcose of the c:moarisen was to determine if tne criteria = c me:necology apolied :y the licensee mere accectacle.
13 i
l _
Results of the ce=:arison between supper calcula: fens are p-esented for the SI-51 piping supports in Table 13, and for the SI-158 su: ports in Table 14. Several differences in stress ratio were fcund, as indicated and discussed in the tables. No application of unacceptable criteria or methodology was found. Supports identified as overloaded by the EG&G analysis had either been forwarded to the support design group for modification, or shewn to be acceptable by analysis of an improved support configuration. As noted in Section 4 of this report, supports were acded to the SI'-51 piping to reduce loads on the feedwater pump no::les. Leads used in the licensee's support analyses were taken frem the analysis of the piping with the improved support configuration. In scme cases, the presence of added suoports reduced loads on nearby supports, so that sc e of the supports identified as unacceptable in the EG1G analysis were shown acceptable under the reduced lead,ing in the licensee's analysis.
Cased on detailed cc=parison of the results of la supporting analyses, the critaria and me:nedolcgy used by the licensee in analyzing pipe supports were shewn to be in keeping with the SE.0 guidelines and curren:
industry practice and are acceptaole.
mn
'.'7jhh, u
U
P .:
- 6. CCNCLUSION Four confirmatory finite element analyses and one conf 4rmatory hand calculation were performed for piping systems. Pipe supports of two of the systems were subjected to confirmatory analysis. Results of the confirmatory analyses were compared to corresponding results of the licensee's analyses. The confirmatory hand calculation results were compared to the results of a confirmatory finite element analysis. Based on the comparisons, the licensee's criteria and methodologies for analy:ing piping and pipe supports were found in keeping with the SEP guidelines and current industry practice and are acceptable.
d to N.h
- &.n A
15
- 7. REFERENCES
- 1. Letter, H. Thompson (NRC) to K. Easkin (SCE), dated Septemoer 19, 1985,Suoject: Long Term Service (LTS) Seismic Criteria and Methodology - San Onofre Nuclear Generating Station, Unit 1.
- 2. American Society of Mechanical Engineers, ASME Boiler and Pressure Vessel Code, 3ection III, Division 1, " Nuclear ?cwer Plant Components," Subsection NC, 1980 Edition, Winter 1980 Addenda.
- 3. Letter, W. Paulson (NRC) to R. Cettch (SCE), dated September 20, 1982,
Subject:
SEP Toeic III-6, Seismic Design Considerations, Staff Guidelines for Seismic Evaluation Criteria for the SE? Grouc II Plants
- Revision 1.
- 8 ,
. ~:
lFi 15
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CSNGS l'SI-lE8 PIPE STRESS CALCULATigil y 18888' I f* E NATilEHATlCt.L HIDEL 8V I.Sl
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e 6, Figure 13. Partial isometric of the SI-158 computer model. ,
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FREQUENCY (11 2 )
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i FRE0llENCY til21 4
Figure 25.
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I A441 1. Flyt DAIA AlJO tellitl At 2tCltlCAllull5--515 PNotitN 51-bl .'
L Ine namdier 6006-6-160 lit 319-12-16 4.1434 14- theilt 319-10-tG 6001-6-1601R 320-12-fG 6005-14-1501R 320-10-fG 6008-6-150181 DD (Inshes) 6.62S 12.JS 14.0 10.75
[h ttinest ( IrKlees) 0.432 0.681 0.58 0.593 Walghta(In/tt) 39.86 140.82 IJ9.27 101.97 mterial All2,IP-)ln Alu6-8 All?, Ip-316 Al06-5 E col.: (ad pst) 28.3 ' 21.9 25.3 21.9
\ (psi) 18130 0 l$000 IUWW) th000 Design tempcrature (*f) 120 340 llo 340 -
Operallug temperature (*l') 120 . 340 120 340 Design pressure (psi) 900 11:.0 900 lJSG Oper. ting stessure (psi) 900 13bu Soll 1350
- 4. Inclueles weight of pipe, contents, and lepelallesi.
4 44 F e 8
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s TABLE 2. PIPE DATA AND MATERIAL SPECIFICATIONS--SIS PRC8LEM SI-04 Line number 6002-16-151R 318-14-GG 338-3-GG 00 (inches) 16.0 14.0 8.625 Thickness (inches) 0.375 0.375 0.322 Weight" (lb/ft) 141.68 122.38 50.24 Material A312, TP-304 A53-3 A53-B.
6 Ecold (10 . psi) 28.3 27.9 27.9, Sh(pst) 18600 15000 15000 Design temperature (*F) 120 340 95 Operating temperature (*F) 120 340 95 Design pressure (psi) 140 360 360 Operating pressure (psi) 140 360 360
- a. Includes weight of pipe, contents, and insulation.
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m 6
e ,.
_TASLE 3. PIPE DATA AND MATERIAL SPECIFICATIONS-SIS PRCELDI SI-153 Line numcer 6007-6-1501R 6007-6-2501R CD (inches) 6.625 6.625 Thickness (inches) 0.432 O.718 Weight"(lb/ft) 39.86 60.46 Material SA312, T?-316 SA312, TP-316 6
- Ec ,7,(10 psi) 28.3 28.3 Sh (psi) 18800 13800 Cesign temperature (*F) 120 570 Operating' temperature (*F)
- 120 570 Design pressure (;si) 900 900 Ccerating pressure (psi) 900 900
- a. Includes weight of pipe, c:ntents, and insulatten.
ij
'~ ~n _,
16
O l
, TABLE 4.
PIPE DATA AND MATERIAL SPECIFICATIONS--SIS PRCSLEM SI-51 TUSING 00(inches) -
0.375 l
Thickness (inches) 0.049 )
Weight" (1b/f t) 0.2 Material 316 SST I
Ecold (10 psi) 28.3 Sh (psi) 18800 Design temperature (*F) 120 Operating temperature (*F) 120 Design pressure (psi) 900 Operating pressure (psi) 900
- a. Includes weight of pipe, contents, and insulation.
.g
- T31
. ;;*&p:
-i74tg m:
9 s
l
==
47 l
J
7ASLE 5. PIPING SY3 TEM VALVE DESCRIPTICNS
. Weight -
Face-to-Faca Dimension Medel Valve (1bf) gg,,)
SI-51 HV851A & B 2960/2338" 35 HV852A & B 2160/2338 33 12-600-222 1463/- 33 SI-04 862-12-C42 750/- 27.5 HV-553A 2550/1275 33 HV-354A 2210/1105 30 14-300-438 1473/737 32.5
'861A-16-G42 1053/527 IS SI-158 MOV-850C 801/393 21 867C-6-C58 259/- 17 SI-51 Tubing 870E-3/4"-75 5/- 5 SIS-FT-912 i so valve 9/0 2
- a. The first atz.cer is the weight of the valve ::cdy and the sec:nd is :ne weight of the valve stem.
a 2 -r 512, l
l l
48
~ ' - ~ - - -~ ~~ ^ ~ ' - - ~ ~~ ' - - ~ ~-~ ~ '--~'- -~ - ~ ~'-~~ ~~----
~-
TABLE 6.
SUMMARY
OF FIRST TEN NATURAL FREQUENCIES AND PERICOS OF VISRATICN--SIS MCOEL SI-51 W Reds W/O Reds f T f T Mode (Hz) (second) (Hz) (second) 1 4.739 0.211 4.455 0.225 2 5.518 0.181 5.147 0.194 3 5.794 0.173 5.794 0.173 4 7.731 0.129 6.111 0.164 5 8.298 0.121 7.645 0.131.
4 6 8.355 0,120 8.271 0.121 7 9.127 0.110 8.380 0.119 -
8 9.805 0.102 8.805 0.114 9 10.697 0.094 9.465 0.106 10 11.037 0.091 10.464 0.096
/I[. ,-
l I ,
49
. l TABLE 7.
SUMMARY
OF FIRST TEN NATURAL FRECUENCIES AND FERICCS OF VIERATICN--SIS MCCEL SI-04 W Reds W/0 Reds f T f T Mede (Hz) (second) (H:) (second) 1 1.024 0.977 1.024 0.976 2 3.277 0.305 3.219 0.311 3 4.545 0.220 3.639 0.275 4 5.364 0.186 4.545 0.220 5 7.209 0.139 5.364 0.137 6 7.433 0.135 7.209 0.138 7 7.585 O.132 7.437 0.134 8 8.638 0.116 7.586 0.132 1 9 S.968 0.112 8.638 0.116 l
10 9.502 0.104 8.972 0.112 7
gy i
(
50
C ,. ,
TABLE 8.
SUMMARY
OF FIRST TEN NATURAL FREQUENCIES AND PERICOS OF
~
~
VIERATION-SIS MCOEL SI-158 f T Mode (Hz) (second) 1 6.288 0.159
. 2 11.141 0.090
. 3 ,
13.236 0.076 -
4 14.010 0.071 5 15.529 0.064 6 16.197 0.062
~
7 18.456 0.054 8 19.290 0.052 9 20.911 0.048 ,
10 23.715 0.042
. -h'
=
7.$kh e;a e
51
TAELE 9.
SUMMARY
!RST TEN NATURAL FREOUENCIES AND PERICOS OF
.VIBRATIC -SIS MCOEL SI-51 TUEING f T
'Mede (Hz) (second) 1 5.791 0.173 2 9'.046 0.110 3 9.202 0.1Q9 4 11.587 0.086 5 12.268 0.082 6 13.815 0.072 7 15.480 0.064 8 18.422 0.054 9 18.584 0.054 10 23.364 0.043
.3.*
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52
e IA8tt to. CtNW'AN150N Of 5fME55 NthatI5 FOR 58-51 Inertial Stress: iguation 9 2(5AN) Stress: Equattan to 9 ,
t 5 Dif farence % Offference t Stress (ksil Based one Stress (ksi) Baseet on Nude /tip SIF ms. Stress m m. Stress 16tG/t1(ensee Component tG16/Licenseg (C44 Impell (62.5ksl{ fGtG tIcensee JIP.?ksi) 1o/1 pe.hacer-Irg 3.tNM3 63.9 68.1 4 9.1 9.3 1 15/40 peducer-sal 3.tWe 36.5 34.9 3 5.2 5.4 1 20/2$ Straight pipe 1.tak) 12.9 12.2 1 'l.5 l.6 I
. 22/M) Straight pipe 1.000 12.4 12.0 l 1.5 1.6 l Ju/36 Isc-run 1.421/l.426 13.9 12.9 2 2.0 2.3 2 50/4h ice-branch I.421/l.426 15.4 10.6 8 3.0 3.1 1
-morth run 1.421/l.426 14.4 13.2 2 3.8 3.1 1
-South run 1.421/l.426 12.5 12.6 0 3.2 3.2 0 S$/h0 8educer-Irg 2.000 15.9 12.7 5 5.0 4.8 1 60/55 Neducer-sul 2.tum) 15.1 12.1 5 4.5 4.2 2 8As/300 Straight pipe 1.tWM) II.3 9.2 3 1.8 1.7 I 80/62 Stralgrit pipe 1.500 . 10.5 9.5 2 2.6 2.6 0 at leraath
\
95/100 E lbow l.txus 8.2 1.2 2 2.0 1.9 l 105/164 Llbow I.000 8.6 8.0 1 1.9 I.8 I I10/16b iIbew l.000 8.3 8.6 0 2.3 2.4 1 14$/1054 Elbow I.000 8.8 8.8 0 4.3 4.4 3 180/115 Straight pipe 1.000 11.1 18.0 0 10.1 9.4 4 84s/305 Straight pipe 1.000 12.7 9.8 5 1.1 1.7 0 acar valve 5S0/1804 Libow l.84a 16.3 12.2 1 4.9 4.6 2 8th/3/$a Elbow l.uta 14 .2 10.6 6 5.2 4.4 5 8115/3m)4 Elbow - 2.423/2.428 12.2 11.0 4 3.7 3.6 I 900/9104 Elbow l.H48 10.4 10.2 0 1.8 l.6 I 985/90ba E lbow l.848 8.0 1.4 1 0.3 0.1 I 250/156 Saanch, 2.011 13.2 18.0 4 16.5 11.8 1 lsest run
/u0/449 ilbow 1.643 8.8 11 . 1 0 11.6 16.h 6 ,
42h/260 Scducer-smi 2.0ful 26.4 23.2 4 5.0 5.2 I ast/2bs seducer-trg 2. twat 27.0 28.9 3 5.2 5.8 3 j^ 435/nD lee-sranch I.421/l.426 29.9 21.5 4 5.2 7.1 14
-mortli run 1.421/l.426 21.6 22.6 -2 3.8 4.h 4
-South run 1.421/1.426 35.I 30.4 8 5.3 1.4 12 450/39$ Straight pipe 1.0tk3 14.7 11.0 3 2.4 3.0 3 660/355 Lee-brau k I.421/l.426 26.8 23.8 5 2.9 4.8 II
. -Suuth ran 1.42//1.42e 26.9 24.0 5 2.9 4.5 9 67h/370 tIbow l.uta 15.5 15.6 0 3.0 3.5 3 6au/3tn3 tioow I.843 23.3 21.1 3 4.4 4.2 1 6ml/30u Reducer-sal 3.tukt 34.0 31.8 4 1.1 6.8 2 6tsS/332 Reducer-Ir9 3.000 50.4 54.8 J B2.6 18.6 6 63 I
o
{ g/ ,,
g ,)
$[ . l' 7 .d.,
I Amit II. Cust'ARl50m M SINtSS Nt".UL15 IUlt $104 '
Inertial Steess; lapeetlan 9 _ . 2(SAft) Stress; f eluatten 10 3 D88tereus 1 Dif ference Stress (ksil liased os Stress (kg L Sased oss hude/up Sif m a. Stress m a. Stress t s.41./t itensea Cusapuenea t t 6tG/t icenseg 1646 4trensee j?I.atS ksi I C&G licensee (11.05 t s t) 60/10 Straight pipe 1.000 4.4 b.I J 0.6 0.4 1 10/80 Straigsit pips 1.000 5.4 4.7 3 0.7 0.6 I h/zo Straight pipe 1.000 4.5 3.a 3 0.6 0.6 0 85/100 Straight pipe 1.000 7.4 7.5 0 1.6 1.5 I labl/Ilo Str.ight pipe 1.000 30.4 80 .5 0 0.8 0.8 0 110/120 Straight pipe 1.tuk) 8.0 7.9 0 0.7 0.7 0
, 8to/830 Straight pipe I.Ctml 12.3 12.5 1 0.6 0.6 0 130/140 Straight pipe I .aMao 5.2 3.3 a 1.4 1.4 0 IIS/14S tibow 3.221/3.225 II.6 1.6 17 4.8 49 i 140/145 Elnuw 3.221/3.225 14.2 11.0 13 5.0 5.0 0
> les/ iso Stral9s.t pipu 1.0th) 1.2 6.# 6 1.6 1.6 0 g ISb/ lb) Straight pipe 1.ono .
8.8 J.2 7 1.9 2.0 I ISS/ISS tibow 3.221/3.225 19.3 15.7 IS 5.8 5.5 3 la.41/ l55 tIbow 3.221/3.22% 15.4 12.4 13 4.l 4.2 1 1 1 S / 44,5 Straight pipe I.than 23.5 If. 2 31 S.5 5.4 I i
190/lth Straight pipe 1.000 14.1 14.3 2 6.8 C.0 I lime /lvo Straight pape I .amun lo.h 9.2 5 1.9 l.9 0
, 205/200 Straight golpe I .lM10 11.4 12.4 4 1.9 2.1 2
, 24h/240 Str Isht pipe B .tu hl 6.1 7.8 2 J.9 3.3 1 220/215 tibus 3.221/3.225 l1.8 12.0 4 II.2 10.9 3 7ts/2th Libow 3.2/1/3.225 l1.9 18.6 l n.2 1.7 5 230/22u 1thee 3.221/3.225 15.0 ti.4 7 a.6 s.3 3 i in/ttu ithow 3.221/3.225 14.2 II.tl 9 9.I 9.2 1
$ 250/225 1 14.u= 3.221/3.225 14.7 13.8 4 1.5 8.0 5
! 2SS//25 tInus 3.2/1/3.225 11.7 11.2 2 6.9 1.7 7 2bS/230 tIbuw 3.??l/3.225 10.1 5.4 20 8.2 7.2 9 210/210 1 thaw 3.221/3.225 9.8 5.9 16 5.6 6.8 ll 2us/2h iIbow 4.229/4.232 13.5 0.1 23 1.3 6.1 ll t 29il/23S tIbu. 4.2ts/4.232 16.tt 9.2 32 6.3 6.6 3 320/t45 Ice-br a le 2.539/2.539 13.4 9.4 17 4.6 5.0 4
-murth run
- I/.h 8.9 15 4.6 5.0 4 isS/zt1 us.hmer-Irs 2.ouu 18.5 7.0 19 3.9 3.1 ;
+
J40/241 kcJacr-sal 2.skhl 30.2 J.2 Il 3.3 3h 3 316/255 tabow 3.851/J.sil 16.3 11.0 24 6.2 6.1 1 J W ISS t it.uw 3.a51/3.84 l 19.0 11.5 25 6.3 5.s 5 360/260 Ise-t,raxb 2.311/2.116 13.5 9.9 3.8 15 3.9 1 b
-Lest sun 14.2 II./ 10 3.6 4.0 4
-mur t h r un 14.2 12.S 7 1.9 2.0 I J/o/2/o ac. sacr-le .) 2.smus 19.2 24.2 28 S.O 6.9 IF 1sS/2/o Scamer.sel 2.tniu 20.5 13.8 30 S.0 3.2 16 jus //ns tibow 3.8SI/3.848 20.9 11.0 16 3.8 2.6 6 3Ju/285 tIbuw 3.d5 8/3.841 2u.2 14.S 24 3.2 1.6 14 390/130 (Ibow 3.n51/3.841 20.2 14.5 24 3.2 1.6 14 195//m3 tibue 3.ubl/J.u41 14.1 is..S lu 2.9 l.a 10 k
( S4
4 i ,
IAlmE 12. COWARl504 Of SINt55 NE5ttIS F08 51-158 ,'
- laertial Stress: Equatloa 9 2(5AMI 5 tress: Equatten 10 5 Offference 1 Oliference Stress (tsi) Based on Stress (tsi) Based on asoJe/11P Sif m m. Stress Mas. Stress ir.tG/tIcensee Caesson=a t (G&G/ticonses, f&&G liceasse (13.5 L st) _ IGtG ticensee _(6.15 ksi)_
$/1000 Strale t pipe 1.000 5.5 6.0 4 2.2 3.8 13 20/1010 5trale t pipe 1.0n0 v.L. 4.4 3.6 6 0.2 0.2 0 3s/10$1 Straight pipe 1.003 (c 5.1 4.3 6 0.8 1.0 3 40/1100 Stral@t pipe 1.000 4.1 1.0 EInow l.643 , e I' ?. 4.3 3.8 6 1.5 3 4S/ Clue -
5 0 . 41 0.6 3 .
$0/C40A Elbow I.643
- i #. ' ' 4.4
. 4.2 3.6 5 0.6 0.6 0 S$/ css Elbow 1.643 * . . , 4.1 3.3 6 1.0 lA
.. 1 su/CJA EIbow I.643 *
. 4.3 3.4 7 1.2 2.0 15 Ju/ Con E lbow l.643 .- 4.2 3.4 6 8.6 1.2 6 JS/08A E lbow l.643 4.2 3.5 5 l.2 0.9 4 asu/Cls Elbow I.643 8< 4.2 3.6 5 0.8 1.0 3 at/C/A Elbow l.643 -
4.2 3.8 3 0.8 1.6 12 ts/C6s Einow I.643 . 4.3 4.0 2 s I.2 1.1 I luu/cmA Elbow l.643 4.2 3.9 2 1.2 1.8 I sus /1210 Straight pipe 5.000 4.1 3.6 4 0.8 0.6 3 IIS/lho Straight pipe 1.000 4.0 3.7 2 0.6 0.8 3 120/1320 Straight pipe t.000 4.2 4.4 2 1.2 1.2 0 .
125/058 Elbow l.000 4.3 4.4 I l.2 1.2 0 830/CSA Elbow I .tu) '
4.5 4.4 1 1.4 1.3 1 83S/IloG 5traight pipe 8.000 4.6 4.8 2 2.0 1.7 4 140/I150 Run IP branch I.Suo/2,leGa 5.2 6.2 8 3.4 4.2 12 14S/C48 E lbow l.643 5.6 5.7 I 4.0 3.6 6 ISO /C4A Elbow I.643 5.9 6.4 4 4.6 4.2 6 115/1410 5traight pipe I.000 5.5 6.2 -
5 3.0 2.6 6 160/1440 Straight pipe 1.000 5.5 5.9 3 3.0 2.6 6 ,
86S/8460 Straight pipe 8.000 4.9 5.3 3 1.8 1.9 I -
195/038 Elbow I.643 6.2 7.0 12 8.8 6.8 -
19 6 200/C3A Elbow I.643 5.1 8.1 18 7.0 6.5 1 205/v2C Straight pipe 1.000 5.7 1.5 14 3.8 3.1 I .
23n/3100 Elbow I.399 9.2 10.6 Il 3.8 2.7 16 23S/1104 Elbow I.099 9.6 10.9 10 4.0 2.8 18 21s/11ds E lbow I .tr39 9.6 88.3 83 4.0 2.9 , 16 24u/l/ue E lbow - l.0J9 10.0 12.5 19 4.6 3.2 21 23n/1717 Stralp t pipe 8.000 12.7 13.5 6 4.0 2.8 18
- 4. the tG&G analyst assuineal a full penetratten weld la place below the fillet meld per c=- auclear grade weld practice. ihe licensco's analyst conservatively asssumed that caly the vislate weld could l>e crtJited. Ilois led to the differcace la 5lf.
55 3 g,.
. . . . .. l
. di h(6 I
TASLE 13. CCMPARISCN CF STRSSS RATIO RSSULTS FOR SI-51 SUPPCRTS Stress Ratio Suecort 10 Tyee Nede/Op Cemeenant SG&G Licensee Notes SI-05-0320-H013 snubber 22/30 anchor 1.6 --
1 i
bolt J
SI-05-6005-H006 strut 260/157 clamp 0.3 0.9 2 SI-02-6005-H005 snuccer 375/225 snubcer 1.3 1.8 3
, SI-06-6005-H004 snubber 330/230 clamp 1.3 1.0 4 -
1 SI-06-0319-H007 snubber 485/537 anchor 2.0 0.9 5 bolt l/
SI-05-0320-H017 spring S55/310 spring 0.36 0.37 j hanger .
hanger
] SI-05-0320-H011 snutber 861-315 anchor 0.64 0.96 6 l bol
- 1. The supper s acded Oc SI-51 made the snuccer unnecassary and i: nas removed.
- 2. Based en the sha;e and dimensicas recorced in the field, the SG&G i analyst concluded the clamp was part of the snubber assembly originally 'n 11 installed. The licensee's analyst made note of the discrepancy, but used 'i the load rating fer the clamo associated with the strus assemoly that a replaced the snubber. This was conservative.
- 3. The sucpert had been turned over to the licensee's design grouc fer i
mcdification :s increase Icac ca:acity.
4 The SG&G analyst used :ne puolisned cataleg icac rating. The licensee's i
' analys:
the clamp.
cantacted :ne manufacturer and oc:afned an increased Icac rating for
- 5. Sucperts added oc the af aing in the vicinity of this supccr reduced the Icacs on 1: to acceptacle levels.
- 6. Succerts added to the'picing in the vicinity of this succor increasec 1:s leads, i
TABLE 14. CCMPARISON OF STRESS RATIO RESULTS FOR SI-153 SUPPCRTS
~
Stress Ratio Suceert 10 Tyee Nede/Op Cemeenent EG&G Licensee Notes SI-01-6007-H005 stru 35/1090 clamp 0.23 0.21 SI-01-6007-H30I guide 105/1270 baseplate 0.70 0.96 1 SI-01-6007-H005 snucber 155/1430 baseplate 0.33 0.34 SI-01-6007-H000 snubber 150/1440 baseplate 0.52 0.39 2 SI-01-6007-H000 snubber 165/1460 anchor 0.29 0.93 3 bolts SI-01-6007-H008 spring 180/1500 spring 0.78 0.79 hanger ,
hanger SI-01-6007-H00A spring 240/1710 spring 0.72 0.53 4 hanger hanger s
- 1. The EG&G analyst did a finite element analysis, the licensee's analyst a simple beam calculation. Ecth are acceptable.
s 2. The EG&G analyst did a simple beam calculation, the licensee's analyst a finite element analysis. Both are acceptable. U. [;
2 3. The licensee's analysis was based on factoring the results of a previous ,.j{:Jg,.,
- s. %\
analysis to account for different loads. In the previous analysis support leads had been increased to account for the possibility of support dynamic
- (.R:
response.
Current criteria ensure support rigid resconse, so that sucport loads need not be increased.
4 Different hot loads were used. EG&G's het lead was based en design drawings, because the hot 'oad hanger setting was not recorded during walkdcwn. The licensee's load was based on the current setting.
57 s , _ . ,
~-...-,--.--m
$?Dn%*NinI.M5Ufl$ AGE $hLWA*Lt -- -
- I 1
1 APPENDIX A CESCRIPTICd CF CCMPUTER CCCE 1
I O
C i
..e s
')
I I
A-1
APPENDIX A
'~
\. COMPUTER FRCCM OESCRIPTICN The NUPIFE-II cen:puter program performs linear elastic analysis' of three-dimensional piping systams sucject to :neraal, deacweigne, seismic, and otner static trd dynamic loads. The NUPIPE-II program is also designed to perform stress and fatigue analyses in accordance witn the ASME Soiler and Pressure Vessel Code, See:1cn III, Nuclear Power Plant Cemconents,1974 Edition :necugn :ne Sumer 1975 Moenca; and one ANSI 331.1 Ccce,1967 and Sumer 1973 versions. NUPIPE.II may also De utili:ed to assure compijance wita later piping c:de requirements proviced the analys: takes into considera:1cn any possible enanges. Piping systems of mcre : nan ene classification can te analyted.
NUPI?!-II utilf:es tne finita element me:ned of analysis wita special features iccor;cratad to,ac=mccata specific requirements of piping system analysis. In ac::rdanca vita tne finita element memed, tne centinuous
.. piping is satr.ematically ideali:ec as an assemoly of elastic sinc: ural memners cennnecting discreta necal ;oints. Nedal points art placec in suen a sar.ner as s isolata particular types of piping elements, sucn as ,.
straignt runs of pipe, albcws, valves, etc., for waten force-defermation cnaracteristics can be categori:ed. Nodal points are also placed at all
}4!
. g*4 discontinuities,. sucn as piping supports, concentrated weignts, tranca ,
6 lines, and enanges in cross-section. System loads sucn as weignts, equivalent :nernal forces, and eartaquake inertia forces art accliec at :ne nceal ;oints. For :ne deacweigne anc cynamic time-nts: cry anc res:ense scect: a analyses, distributec weign ;rocer ies of :na piping as well as concantrated neignts, sucn as valves, pumps, er snuceers, can te considertd. A lumped mass accel of :na piping sys:em is used for all cynamic analyses. So n translaticnal and rotational cegress-sf-freecem may De Considerte. .
For fur.ner informacien ccccerning NUPIPE.II ca:acilities er analytical ;r:cecur*.s, =ntac: Acclied .Ncnanics 3ranen of im ::anc, Inc.
A-2 w m m M E&irw Ln9%M M'w.' bib?i&P1W& MLin W N*5WAMN 5
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APPENDIX 3 - .
MICROFICHE cp cc,ygg75R CUTPUT .
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APPENDIX C 1
MLL-ECRE PIPING HAND CALC'JLATION 6
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APPENDIX 0 PIPING SUPPORT CALCULATICNS
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L9"ZP/4)](#*'.) , i i shear : 7y = ' 2! = i7: 4:t < r/, VCC psi V(l'l3)('/ ) ; i 1 I c:27/DEC det77: ; I { Fct p/g h ') ' ~ \ l
? Malen . 9= af.3.1 -
7:.: th/tc/F (7.s. (c) l l l < i i ! i l shen : s- mJ - ici a i tcie ! l
\
l
! i V *b i i
l
For p/ aft "d' " Tension : /= 3777 - 1:7 /b/hoA' (toVa)(2)
. shtar : 9= G1 - 'st /b/ bo//
4 m 5 Ynt;d. lod87 sfft.Ar ft2.70nGb.!d 5/~ /h6 FerietaNVl. 8 bo/f itztr, hoaitvtr, sJ/ows.A/t.7 .zrt en2nou.in.
=_m . !!Ei =s t costsine .crun : .
4? I tugs lo pint
'4's Md, bo/h sidia i
- hear: x, - cas - d"s p;i 707(Tib)(1)(I) d e w s /c htbing 'N' nl/t/ , bc/h sides -J
.a. . . ~ ~ .. + - ::se . . 3.44,.
Ten; ion : crp = .rzs -
- tar p:/. . L,:. ~' .707 ('N)(b)(i'la) -
Tubing /c plaft k' nild, a.!! .zrcurd
.;f: tar : cr y - cze - 491 psi .7C7('lJ)(6) .
dendin.9 : q- n Win .e,4 pi is7('ta)(s)(:) e-c: ices e!:ez con :
. F:r .2. ennnot as de e!.ung. .u/cwak/t i2s - e arc ib; y isSc it:.
t t
- u.cc.t' i: 'l<.
l.. ;: .t e:a i D-49 :
scATE )' c3 3. Af 3.54' 04 f.7f f.7f C Z. CS 3.36 C6 3.76
- 7d' y 07 7.S 7;d'
@ 07 7.5 7.6 ~
9 niiii 0? $677 -3676
=_l ! /0 6. 35-/o 6.SZE-to - /d 1.13E + C6 f./ZG +06 ' -" tax x .C007 . 0000$ . -: t!',' vy ~.0007 . 000/?
i: W:y ~4.7Z8-/6 !.S!E -/C
~ ., < Mxx 1o46.Cd - 9 7. 76 .ibh r /n yv 9EY.07 ~ CE?. 60 'N i: /71xy ~$.708-0 ? Z.766-04 vo7Af W or Tz //, I6?. 3;" toff. 74 It,5c7 ' @ /0, s'?b. 7? - Z$73. 04 IZ,17&
- Txy ~i.9fE~CT 3.?$5-C7 6.905-C7 M
d
sure "d'
. *8h c: :.75 s. 7s C4 s.5$ $3C Of :.76 6. 7S C& S.36 f.Z4 07 to.C Q
to.? - Q 07 10. 5 to.? u_a - iiiiii of 16 1 -14#
- =1 l to I.t&E-09 f./?A -r?
/! f.$E5&CG ~ $.$$$rC$ ' / ^
xxx .oco7 . :oc7 wa .ccob .cco? - way -/.146-IV -3645-/d .y..
. as %? .*,e,i /n xe 37fSo -s/6.17 =S /nyy 573.44 -79.9C - /nxv -Z.6SE-C1 -6.ts/E-C4 're r? '.
7x 6,737.90 -1,tEV.?? 7.983.7 71 6,837. b7 -Z, tS7. 7S 7,697.40 Txy ~6. 25 -C7 -1.476-07 3./C 5-C 7 i e i
)~ l
3: .. .. .- _ . t
; -ei- ec 7- secc Lu A scads .- la>e4+r!-todo/b;. a. 73 / p#/,4 \ , w % .7/s/Ct&t St l i j.S' 9 <
I
; f* m m i \ d 1 did l I t - + lI 4 - - =
i arro e , i:; M 85
*-pg I'
Sl 4 '.TmL.f; A s _.
-:lr
c /J; ICE 2 !.Ub3: C/T' t l' a l' lon] fnta.r: zodo Ty = TO(/) - S/0 5 71 <
.. 14,@o pai s._
5 ceuite64 &UMA : ~$.;
.g er a. &nnnul di40 clarna an/h S/7' }o/hr, ~
allowalli 10%d - MSO /bJ } Ze# /b1.
- Ustasz : $2/.U 9 ;/J u & e z a + c l e v/; E 5 :
- A;sumt &nnnul , carts -
/zrf A/ lor,vah/L !ca.d (tb;)
l Z?O 37/O
/W 57/S
(&) TZ, rupe 4 Za@ /!adC M" , l Achtal !c.z d s 4 alcatal/ts i h I f
- t
_b-7 i l
z casinz a e r s x 4 x i'-&h' : Considt.r as a. Rud-19xed bearn w/ /oads app /itd a.F cinhr - toto /4. s a r,
'A M m
j- /s?/ 8
!H h .$1id./* l o'y = to30 l? - 17i p;; < t4,4o0 pit
- m. c.7c
!!iii =_i NMdtnt]: a = 3. 76 /W - Zg = Zy = 3.Da in d ylj Y
to = % = 0.93Z in. ra = 0.374 in , Y # ds t Zu = 3.73($7'0 = 0."$7 in #
"\ l z v- c(z. z:) . =n - :.coz in '
2- :, VA = -I. IT
~
f1 ' Ve = 1.477 ve = 1.477 ::h V -
.tJA = 0. -
t.lg = -Z. 796 de= Z.7?6 ..lE; t.t _ e
/nu = ~~707 fto 20 %$ l4) = -! d C0 in -/b 7 .
Inv = 707 fioZoVidd /d) = idC0 it)- /}}. 7 l (T A * -I'l30f~/.$17) = 199$ pst < Z/,600 $J/ ,
. tn ,
j i : (Tg = -IdE0fr JT7) + Id7) f- ?. 796) m 937/ p;t ( g/,gccpt
.1?J :.60Z i i ,
Q = -J d2Dit.s/77)_ + / EC d /'t. 796) =
- /104 p;t { 3/,6.cc p;/ , .??Z f.SC ?. .D -7 2
h.:..* CD/JJi452 4 d x ? Y 'h v d'-/O' considir as a. Mud-&td own ali/h / cads a,cp//?d as ;/:oton -
- $ # sio#
- l =5 v jg ' 9} J ax y # acerm 4" 4
I, y f, e,
,L ~
4L ,,. -1
*E.
Elfi
= ~ -1 $ta.7 : fy =
3/C/0WA* (:)(ii) ef/] = Z33 psi < d 400 ):/
$ i
- c. -
- d. 7
.. ff.nd/nd : /7?,,, . = ZlsioVi:)f-YY 4 6 q t-y in .jf e .. 46 a 11a = ~. 707(6949) = -49/$ in-/h fh]!
1.4 triy = .707 (61V9) = 49/ In-!b ^R T, = -+!9/$/-i3/7) = + b?Of p:i < 3/,600 f;/ l 93 l !
. 7g = - </9/$/'t.fi7) + 49/4/-% 796) = it, 6&d p;t < t/,600g;; .437 $603 i i !
I l # Q = -49/?//.d77) + 49/$lC.795 ) = - 7/~1 p si < 31, Sc b p;i
!. .s:2 . sot ;
l . 1 rcraon : 7= f:(Yzf +($-h)(h)*] 0. zee in'
=
\ r = _: :
=
z /zec7 './'/z) = 2769 pai < it.dec p:/
. z :-t D-74
i
., , l l
4 CD/J:M=2 O:5 M A TE - y? } "'/3 ~
,. f .
If&' CC'fa) e,. 7, -
- arm?b '
l !
, tQ. arm-t wh g .,, - l l - >
m L sjg j-m a 4 - j @ I'l4 ' ., - ga s 9 - .=i I J's"I
/ 3'/fl
=_l .j G o
' -Q -
mr <-b I r,.a -e e t ~ \ = 1 8 th. gg/d,3 #
- l 78 A7I i
>~ ,
o - F-:.r f3 ' d -
.::6 tar : . rv- : red ~ ~' '(MS-N)(</z) _
Jar vi < is,aco pri _. l
. q: ~e TCrs/Cn : 7~ = 3002l'/3)M = ??:fd p5/ d 14,000 p;i d'/5 ('/B Y F:r W4' f ~
shta)" : Vy d!9 =,160 ps/ < /f',/00 $Jr i z(iiv)(sh) 70)2/M : 7p = dl9 ~ 160 pst < 3!.6c0 ,c st (v'N - O(#N)
, - l dt.nding : 7=
9 rec 7 /!!a It ) - a:00 psi < zocci;;i
</:N(:N'f ft3 l, I
a ~ 1:
- s. ,- ,
. s consisee setrs er */4 ' i9s. .r-sV /Adips -
- htar = 1:4 14 < 16,:16/s - : o 14. a//swahlt 7tnzien - asA - 47z tb. < ir,w/r - ::: th. at/ao 4.ZS .
m
- h
=
ice /* di//7 20/f - m
@. # tar ~ 4/9 lb. < 36m/t = ::75 /4. .u/sead/t => =!
7ansion - 47z th. < nt,cos/r - troo /b. a//sx,'. M I 60il2/028 .i2 2 L s : 4 3*:t '/Z /c 4 3ef t '/t ~ 46 M//df Aid 2.i~ .* Ty = 10 ?Ol2 ~ dB/ psi
.707 (?llb)(/3) -a (mding: %~ .azens#fA/r . - - , - coZo psi $$ . .%7(Vib)[#!'i'lW!Y &
70~ ht./ : 3:V/ $7/ l i i l I s 3v$x 'lz lo anchof - Vib " R//t/
! l Ilit2f : Tv
- Cff/O)fitf:(t?) ~
- f76 $7/
a-: - -'
,707 Elis:(iz')
i i 8 l $U'd/MO ;
- 4AO '
7n' , 6-??? $st
.767(#/*)b e/'-*\'
TC/~5/Cf)
- 7= 2 t'?CC f- = 36 9: 'Cpt 70 7 (://6),S' ~ "/>/' l r&(:* ) -
~7Cr 7d"ii;U l /C. C68 $5i 7ii; : ,c/;:r! .y7:t .it:* a,eeip,/9 b/t.
1 i t _n . . . ~. nm - a - - - " - - ~ ~ " ' " " ' ' - - "
r . I 1
- w. _ su c-et- soc 7- dece .
\
g a > .- e i I n s e..e I l \
- * (, a 7o a ,1 ._ _.
m < ,
' !H-t -- l 1 jg I. .I . 1. o !
- n user e af " lw r.Pa [ + (r:s' r Ain:)'/: . tig th;. !
=_1 i i - ?
- asiesz suceeres .ws etewses:
nr 9 4 -? , allowahlt load - soco is- zevd P G l
. - 10,:tts ibs. avtl.:-e l I
Investd /o.zd i: bdow .:.He.z.2. bit 3 2 @, ,
.w
__: 8m de/J:/CE2 der /20DrJL e/48 J'JU!:2: WK..t.
'.'~
Q* *! conservahvdy cons /dt.r a.if a.s a. w;/7/tver decx xi/ cut b r.tcin.] - l uniS . =ES 2 d- A . 4:6 v s I ie.o S ,
'- I J/'/J i !
Al9/ : 07, = C 4 2. 4.fb
= /s3 pst <tJ.dCC h/ /f/.?dtf.): /7;
- 52 'l/ 'ld = l/9l f:/ < 3;~, 's: ,r.,p
/S D-7~7 I I i ~
a s. 49/27/452 Lu&f: 09 " r l' 2 p' fc/pd
$ddl~ ' 0'y " .,!l.$w# . = l W $3l f id,YCO $3/
V(!)(Z) I cea:tose sass surE;: t/4 ' a to ' x to ' - ;
!H - !H $ ^
l m
< ,ps ~~ p -
3:0f U p 1g !
- g. .
*._ L v , rg t 1
1 7 ywz1 . t imditq : Censerva.h:it.!u cc r si dt.r ;!. d t .r. ; .2. ;iirp/u i rupper/cd df.un avP irmit:/- asp //td Lh e //h dr - , i T* b 'll943 .'-W /3 ) - f; fff p;t ,g 34,76 c p;; ,
. 7YZ(#/4)#//Z $5. ; ' Y. . i.
Ala./* l Tv ~ El* 2 -- = /Zo fs' < // 400 psi 7 4(i'N)(:/4) Waton : 7+ " !M - 78 p;i g .:i,6:s ;;i [io-z(-?u.W, G) I ( ecil:'e=2. deeis : . 7'fsian :
. /, - l19a3 - 1% th/ t;p i 7'/? (3) h!1/ ' k*
r PO =
}7f .h l'; 'I" Y ;
1 ! MNa:.'A #! Egi c.: j. / : , : t .,\ ,;'. ,; :.., gr :, ,. '
- a. ;, l
? i .CAdi .LC/ t.V f!AJCr.L./d if W" ..(c y, , g l 3 'I8 l 1
.j . , ... c:/J5/4=t wEL.43 : _
t/sw; /c air - 4' MHd, a)/ .zrcut:d 1Srion : n- S 2- - 35.5 pri
.707('N)(aZd)(4) -
e te fa.ft - 'N' Md, aj/ arcand
# tar :
q= E42 - M / p it - g 3('4)(.707)(:9) , 2!!I. iiiii -
~-~~1 du:dmq: q= lid 43 = / t19 psi xf ri .7c7 (H)(6)(s.?+') -
ew:. wee a:se swa . krum& 2. 6' ennod/ si e n:u- d.orp : J/foaahlt / sad - sNo /bx > //JS /b1. ;,.;
'" .%;flc,
- 9 l e.
- . This :epper/ a acee,cf.t2/t. - ~ ':'
.M*
I i D -7? , j t i
l
~ .
- s. -si- sec? - seen -
Co?M // n.:?. 34'l m lf ,,e-s _9 was: Iwe4] + (ssa'+ Ain Y* = /007 tbs. m . 1H
-- el".dfiDG2 .uJufCE2 . dura, ciswa -
- =
m un,
- er ennne// A4. tot 2;sunkk /, at a//owab/t .
nni
- t Ica.d = e,sco ths. > /sst ths.
~~ ' e CC/JJiDEE w!!.45 : -
c'tvis ,c W L is base p/Ut - %' h//el as/ 2rou/;d
# tar: ry - isc x: 6 - W/ psi .?c7 (t/s.>>(io) 72nsion : r, - fiser ns sw'/a) + icis sin v ,
M, 3
- i. ...n1(?iswo) $'
- er ps/
cec:inee es:e sure - eir: :
'.. d-- [ ,. .
- w gd lQ :
f 1 i
-y / ><- - [9 ,f N -
t e.b t l' c'
*N $E U s y' / . ~ 7-f*Cb., M/*7/$//~, o: 1.//* f. ).l'd *A Yt/ ! ff. :.Afl .t J ~
J. cy,c = , ,i c. : , ,, r ,a u :: x,, . - l ! i i i I
)~h
1 a w A l
~.
findinq : @l/04 n.'h i ... z,._ n_. .
' ~i 7" ~
q, = albi + wh) filz !D . /M/4 pyj g y 730 pyj
- . Y ., 7(hf/ is
,. Miten : avd- - zSo ,osi < zi.sco pn jjj 9 - [1- 5(W)]'/a _
m n!
*B. shtar: - ry = 4W =, <tri7 p ;i < sy,yco p n Ei.!:
9(i>('/c) C. .fteend , canzider bc# /ca d s Azhnq into .zce,:un? tec dn/ rte ben p:tHtrn : _. 4 - b . 1 C '#b ~ o ,I co. :
*l ?.'Ic' . :.;
o . _.- -aT.
.;5p - ~ , p'%" ';&j .#.33 sind& C.q. cf ic/h fa.Non is so c/ cit h ;;itt :.c /C.zdir's , iJrcri i g g i n ly ,.*i l / s/d eCnsiddr ;) 4." /
l B. sbr
- in doing so. '
.ht2.7 : 7, ~ 274 -
zH /b/ Een l l 4 : 1 - l Tension : cn = tst e 3/64 = Rol it/bc.!h I-3 (7') I
\
l . [ t 1 l h/* $'~ h//b $.y/b [cYs
.5"d :.!!/it?'J.Et. Nt.2/
I j load !J
.2t'd && !c.td /?,3$7 /d . :. /hrt.tfL I-ln ~i/t l l ,' is 7/ ~f /h.
J/ii*C:'W Yi )./Cy.'.2h/t !c.!ds Mr ,9 i :.? i/*
?Id" 2'C/Es .Vd ::/.'kt'Cy;r; . .Y L J./ d ;C ,-j" ! . I iirSC:i& ' .:.i.d:
J/r.V/ d'.Lr 1/! dcwij l 2CCiCl9J'!!. D-?I
- k. . . -
, . . e , f." OME Cf dddnzten p./.z,'t f, on i
L 93.zw " VJ ' h//ef, t . rides
. + V=- -
5914
/ l au ^ ~
E
.= ?' SYY
- 30/ +m Edif3/4) y
~ ~ "' # 'fZX$>'I]h(i*sl .707(14) aj I- =t s? maa aw.ais.
G e' 40 9 1
! l i
I
! l P .i l
- l c-e.: ,
l _ ;:.::; =,p sy& .::j53&f;g , QQg:,V ':te"Du ..:,:wj; ; . ' ' 4;.;; . _ . . , . . a.. l l
.m .C -Ci- 6cC7- A/00s -
t.c44;; .
/ =*
Ianh +TI + (sse*+ Am'{~ ,
, = % 2 tb s. !H_
R eca:itse :aceezz . cump. aevis : , m. AIJUM d 0 Wl ' 1.2C/AC 2/LM/7MC ffA -l ,c.1/,4;:
@I .s i Allowab/t /o.id - ecco it; avd A q q'l ' 10,:70 lbs '
- . 6:st/ C = 4 CC/JJi4EE eJJE JLJ78 :
^ ~
t - qat 'a , o
-r o- -
O . b
,gim' y e* ~
e.gl '
- C /< 1
(
!r7:
1
- l n
-f, /s (e. ,mr l .
t Wa'an = /I'1 p;i < at,5cc p;i Q =[e 1'Tz(%]M4)
~ ?w' 7, '- . 9 d(1-1.T)(-%) . - /t/ pri < ia.ico sri l
1 :
~
I . (U*dli' 1 : C:rj'.i t.z,,fi t:';s
~' '
iyrgi-g p;ij; j.,.;;; ,,j
.- .;;f T*dif f _'.Ui .47 1
- /#f :i I
;:.,.";:t.4d . i j v' U.7^ . ;Ut!?* n'cr
- i/' r 1.,":/ ph ;,z d l
.LG'::iC .t ," .* :r'?V - l D -3 3
\ *. . . . . , J: i e r .Ji
l , yTjff in-lb.
St O l- w / . m, . eg . r id,. mt 'ss/z ) - ssn p:t < ze.nc .o:i {a 4 Z 7(W)*//g m _
.l.H EiE m - 21l, CCJJIME2 /?cl. 73 :
iiiii
~~~d d:ts.r: '14'1 = /D $ /b l bc/!
al 6 y? . I ' T! niton : Cons /ddr CCrntr fc//;* Cr/y -
/ff_Y -- f?/
Y
= /36 //ls://- *&(76) \ A/00'.!2h EC/f h/ft is str b7: r . this! .'sJds ::
I Mfid G.Ccip/2.'C/l 2r ?!d' ect:.rt.ft .tr.'hcr;* _l1;j. i?
- d.
det] J/D S c V2 =f 1)J :
!!!vt7 plaf4 .& kut s/2.fL - N
- R//t/ .u! uc:.'x '
i ;hty: 0y = W1 - </:3 p;i l
- l. .7C7('/4)(/0) l i Terrien : q= A?! , M14/s - y/3 nii :
e 707(;'v)(/c) i I i
- i
?
8 l i I l
.- 7/:i; ic.ye,-P i; .tects!v2!t.
- O G
6 2-64 .
'.,,,'r.- /
- r-et- 6ec7 -//? P t'!J *< 4 ~< 6 ' /ct a N
J< x o.c.e I UM;: rn; ., ,- o. g A x
,, sin l w y'-dir. ~ Ja> d+P w rl - to:6 /h; : w"x t? I
- g. -
Id1FPJ+ TI + (5:a#+A/n#)'l* = /.46~/bs.
/
g I to r 49 + Tl = lc thy. l
.4;f -
h$ j !J)+0d + 7 } + (112 M/W)'l* = H42 /E.7 ' 2 V,
=: s/ =_t 3i dhhzl ceinpuhr procr.bn 'Fedsne ' h Hnd reac// ens fI*
in .&ueh./ra/ mt/nbd/~.7 . AnaJyz& Br suctif /c.t.d cs/nbinahon.7
\
l i ,.. CC/Js/d22 2d2 f: m2/ndE22.' A = f.33 /M# , . 7
- 3. YS /W MI/CA : T" f l]8?2 = 477 p 7/ < 3/,600 $fi .:
$.7d 4 . :l%p'. ~ . ,;u.,&'. ~
CC/npfl73/0/) : a Cc. = 136. M f
= 2/43) = 74 < /36 I. C Fa
- I-/14Y 76,000 = d, ??7 p3/
L CnzA + 3 I
~ -, st>d) -. f74 ) ~ $ 8(A&&) 7(/Zb)#
lL'/ U D = ZZo/0 pNi
'7a .
- _ ?!'I '
= 479 f;/ g sq.397 93/ \ .. i ! ?!
I i i
;ht2r . 7, = l162 l - c s p ;i g iy. :s p;i ; :. T g g.$
4
- . 2 fe; dint): es- easd - 736 pa < zeuo pi
_. SY6 - 404/5/052 l'N e d u 6 sf : Q - 7enacn - rp - .m - n7 pi < 31,60 0 p /
= s.o m
m 2l Alar: Ty ' Gkk. - se pri < i4,4co p:/
=. s h!' . findinq : v-s 71* n'Ai/z) = 7:7p;r < z7o00 p/
4(t'NY/12 . g_ _ eunese o;; surs:: z. Ana14/Et p/ahs a: h t. u ?: wiih .ln load 3 aff//Cd a./ si.rphl/lf ClA :l u p p oi-f t d df Top p/a}& : !7ll 10 . 46N: " A mJ /b.-in. - 4- ~7fw &
~
dending : Mb4 + 17llf?o)T filt h = aq/7 p;i < 37ccc pi L 4 . i7(i)#//3
. Tlnsica : 7s = 47b -
zh p;i < 21,pcc p;t [zi z(ie)](i) - Tblar: Q= 4% - 60 47i <( 14.d00 pri
+'(3)(/)
i 6,%/r ph.h : n' # m ce re ar E -n- ; i ! i
- 0-N i
y, .. h/?dt170: 1 l'IBl3) = 96C6 /;/ < 370C0 $ 3/ ( 090+ / M 4 !) .1ff(/'3Y//Z re:sion: n. - iezs _
= ist p:/ < Ci,sco p;i
[16 - 3('%)]'/5
$!A.r: Vy = /??A = t// pii < /*/,400 97/ ;g_ 4(ive)('z) /
IEF 12 "E iiiiii5 CC/JJ/DGE A/JcAct 40t 77.*
=_l g ,4/ fpp y)c);Cr -
fear: ry - As -iib tb/Jof Y . . - Tlf]J/CA : 7p = /2/ + $*6 bl = CM /b/ bel C(17) 7hift leddi affl1r r42.5cd.Lbl5 ,97 / YV ' Co n c.r d t _jh c.AChors. . .- -
-E.:3!
i?, . ' l L .:
-k.g.
d/- kc/h:7/n aAC})or :. T "
; ll)(1r: Ty = I?26 = MB /b./500 l y
i ! l l 7/.AJIen : Tj = 186 # - /690_ :39 /6/ boy l v z(n) ' i l rize:t / cads a,sple reascoab/L nr Yv" concidt
, anchers. s i
l
, C:/Js!452 Wi! 45 :
w a < if .i:- Eas& p!:UL *
@t
- R/fY 7 u* .7/ C /? . 7+'
= !"L/ - f*6 y l = idiE $fi . "T (-h)(J } O
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