ML19263D736

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Non-Dynamic Seismic Analysis of Piping & Supports
ML19263D736
Person / Time
Site: Maine Yankee
Issue date: 04/12/1979
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Maine Yankee
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ML19263D734 List:
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NUDOCS 7904130203
Download: ML19263D736 (61)
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{{#Wiki_filter:"'?" YAN,KEF, ATOMIC ELECTRIC COMPANY O cat.cuta Tion no. excE SUDJECT / ' ' 'd DATE REVIE AED UY DATE WOR < ORCER NO. 5/ ') b PREPARED BY i i NON-DYNAMIC i SEISMIC ANALYSIS OF PIPI:;G AND SUPPORTS BY STONE & WEBSTER i l AT MAINE YA!;KEE i 79041302o3,'

t4 YANKEE ATO?.!!C ELECTRIC C0!.tPANY cucutation no. eace or i su'e s te r l' \\ / DATE HEVICwED DY DATE WORK ORDER No. Cl' b PREPARED BY ABSTRACT This document: describes the (non-dyanmic) analysis technique used to design (6 inch and smaller) piping systems to withstand seismic loading conditions. Using the general dascribed methods, together with Maine Yankee site specific seismic information, calculations are performed to quantify the margin of safety inherently present in simplified / static seismic analysis. From the descriptions and comparative analyses performed here, it is concluded that piping and supports at Maine Yankee are conservatively designed to safely withstand design seismic loading conditions.

Pact _Ecc YAtlKEg ATOMIC ELECTRIC COMPAl1Y or catcutaTies no.__ SUDJECT I/ DATE REVIEWED HY DATE WORK ORDER No. '~ O ! ) PREPARCD OY t DISCLAIMER OF RESPONSIBILITY This document was prepared by Yanxee Atomic Electric Company on behalf of Maine Yankee Atomic Power Company. This document is believed to be completely true and accurate to the best of our knowledge and inforration. It is authorized for use specifically by Yankee Atomic Electric Company, Maine Yankee Atomic Power Company and/or the appropriate subdivisions within the Nuclear Regulatory 0;mmission only. With regard to any unauthorized use what soever, Yankee Atomic Electric Company, Maine Yankee Atomic Power Company and their of ficers, directors, agents and employees assume no liability nor make any I warranty or representation with respect to the contents of this document or to its accuracy or completeness, f

YANKEE ATOMIC ELECTRIC COMPANY caucuCarion no. Pact s or I t $LN3 J EC T WORK ORDER NO.[ # U I REVIEWED DY DATE PREPARED DY IJ DATE .____m___._ . m.m -. i TABLE OF CONTENTS I 1 Piping Desir,n (lland Calculation) Piping Design (Special Cases) 3 Piping Stress Analysis 4 i Specifics of Seismic Stress Calculation 5 i i Pipe Support Information 13 i Field Run Piping 14 l Standard Seismic Reaction Loads 15 i Equipment / Anchor Reaction Loads 18 Computerized (non-dynamic) Seismic Analysis 21 References 22 9

/ M or-ANKEE ATO?.11C ELECTRIC C0?;1PANY catcutanos no. excE i uDJECT 1 ['I[ !! !'l l RCVIEWED BY DATE work ORoER NO. M E* O DATE IEPAREDDY i NON-DYNAMIC SEISMIC ANALYSIS OF PIPING AND SUPPORTS BY STONE & WEBSTER AT MAINE YANKEE PIPING DESIGN (Hand Calculations) The earliest design approach used for piping involved deternining a span length between seismic restraints. The method involved selecting I upper and lower bound span lengths based upon pipe size and end support conditions. Span bounds were based upon resultant span natural frequency and the bounds on span length insured the peak frequency of the appropri-I ate ARS would be avoided. It was observed that the length bound corresponding to the "ricid" fregeency range was approximately the same as the pipe span tabic for deadweight in ANSI B31.1 Power Piping Code. As an evolution " engineering instructions", (Stone 6 Webster PS-1A) were generated and required that span lengths be computed. This calcula-tion used a standard frequency equation (from " Design of Piping Systcas" the by Kellogg Co.) and resulted in a naximum length which assured that resulting span frequency would be 1.5 to 2.0 times the peak resonant frequency of the ARS (References 1 and 2). In the references above, the decoupling of orthogonal respense effects are addressed in the (first) step before cenputing support span Icagths. This uas accomplished by including supports at elbcvs, tces and concentrated cassen, thus " grounding" their effect to the supporting

2.or. i A!1KEE ATO'. tlc ELECTRIC C0?.tPANY cat.cuEx tiOu no. exct UuJECT 54EVIEWCO UY DATC wOf4K Of 4DEf t NO. ' / *' '/!' ['i 1 / V ! OATE 2HCPAflEO DY _.-._mm_ -___----._mp, structure. In summary, the approach used in initial pipe desir,n was to avoid the resonant rang,e of the ARS by judici.a.- pipe support span selections.

3 or- ?C AtlKEE AT0!.ilC ELECTRIC CO?.iPANY cat. cut.4 Tion no. excE s UOJECT /]* r REPARED DY O /- DATE[! ? REVIEWEo DY DATE work ORDER NO. I PIPING DESIGN - SPECIAL CASES Whenever the support schemes dictated in PS-1A type instructions could not be achieved, computer analyses (using SHOCK-cra programs) would be performed. In that case the analysis technique is outside the scope of this discussion. I In light of >bine Yankee /.RS peak accelerations being moderately low, and with the consistency with which the rigid range 1cngth bound (using the earliest ps-1A E,x approach) approximated the B31.1 dead-m weight span lengths, the following approach would often be selected. I The span lengths of B31.1, (intended for deadweight design) were used I i for seisnic restraint span designs, (without calculation of natural i frequency for the resulting span).

ANKEE ATOMIC ELECTRIC COMPANY caucutAnon no. excE or-UDJECT WORK ORDER No. ' / d # _ __ Y b D A T E "'/ !.' b, REVIEWED UY DATE REPARED BY PIPING STRESS ANALYSIS For all cases where span lengths were determined based upon the method of computing rigorous determination of span natural frequency, stress due to seismic loading is as given in Reference (1). Basicall, f btained from a Stone & Webster-a deadweight stress based on L was eax approved monograph or chart. Scismic stresses would be computed by multiplying the deadweight stress magnitude by a G-factor reflecting the ARS. Typical G-factors were (a) half the magnitude of the peak ARS acceleration (in g-units) for piping known to be out of the resonant l range, (b) not less than 0.5 g's. l For those cases where pipe spans were taken equal to or less than the t B31.1 deadweight span lengths for seismic restraint spacing, for which no frequency calculation was performed, the G-factor used was 1.5 times the peak spectral acceleration.

6 or- % ANKEE ATOMIC ELECTRIC COMPAfiY cat.cuuvion wo. eAcE l UOJECT I b' DATEM!'!'/ REVIEWED BY DATE WORK oRoER NO. T/O REPARED DY I i SPECIFICS OF SEIS!!IC STRESS CAI.CUTATIO: In Reference (1) for Maine Yankee (as opposed to Reference (2)), the C-factors used in seismic stress calculation were taken from and intended to be horizontal spectral accelerations.

o formal statement on combining deadweight with horizontal and sfrultaneous vertical earthquake inertia effects was made.

Using the nomenclature I Longitudinal internal pressure stress S = pg S Pipe stress due to deadweight DW = Pipe stress due to earthquake load S = EQ i + I LP DW EQ h wherc for S ~~ EQ for S ~~ EQ was the B31.1 stress criteria. In order to reficct inclusion of horizontal plus vertical carthquake effects, and recalling no cross coupling of earthquake effects, consider: EQ(v) y. i .} _ _..J---... *.. L s _ _> __ - 7 y r+A7 -Q_ DW - - EQ(h) + rnn [-- w ~ view 1_1 i

  • RESTRAI;T provided by supports 1) no rotation restraint 2) no restraint in (pipe) axial direction 3) displacement restraint provided in all directions transverse to pipe axis

6 or. p,' ANKEE, AT0!. llc ELECTRIC C01.!PANY caucut* Tion uo. pacc UDJECT '/ 2 REVICwED BY DATC _ Wor 4K ORDER No. /A REPARED OY / /- DATE*/ Appropriate (present day) load combination would be + + TOTAL DW EQ(v) EQ(h) ' with SEQ(h) g DW (2/3) f XS EQ(v) = gg ~ + + b TOTAL DW g g S + + 0.444 f + f = DW g g ( ^ 'g + S g T0TAL DW The technique specifically spelled out in Reference (1) is as below- + (9 A ION 2) TOTAL (OLD) DW g The tabulation in Table 1 is a comparison of design approaches between using the S6W PS-1A (Reference (1) approach) and B31.1 spacing tabic for selsnic span procedure. (Small) pipe sizes are considered with the weakest schedule (for most flexible result) selected from MY Piping Specifications.

7 OF 9 ;* YANKEE, ATOMIC ELECTRIC COMPANY C ALCUL.ATION NO. PAGE SUDJECT PREPARED DY DATE REVIEWED DY DATE WORK ORDER NO.

= u=:_x-

TABLE - 1 S/W B31.1 - Motivated Pi,e Size W I PS-1A L fp l and Schedule (1b/ft) (in") L(ft) (ft) (liz) 1" Scil 80 2.481 0.106 8.43 7 16.807 li" Scil 80 4.40 0.391 10.13 s 2" Scil 80 8.42 1.160 11.31 10 14.83 25 " SCII 10s 5.89 0.988 11.88 2 3" SCll 10s 7.94 1.82 12.84 12 13.28 4" SCII 10s 11.78 3.96 14.13 14 11.82 5" SCII 40 23.26 15.20 16.69 6" SCll 40 31.50 28.10 18.04 17 13.06 6 E = 29 x 10 psi .15 [El fp 0.74 2' EI 0.371 L = = W L W PS-1A fs f

  • YANKEEAT0JIC ELTCTRIC cAtcutATion ".

l SuoJECT l PREPARCDDY OA E REVICwED BY DATE work ORDER NO. l f Nomenclature is as follows: W = weight of pipe and contants (water) ft L = Pipe Length by PS-1A Equation gg,p y i L E "E E "E Y ~ ~ B31.1 fp = Pipe Span Frequency for L using M A Equation B31.1 From containment ARS, the peak frequency is 5.8 IIz, 11.6 Hz. 2f = 8 i f Therefore, utilization of B31.1 deadweight spacing for seismic restraints assures that the frequency criteria of Reference (1) is achieved. With the conclusion above, in comparative analysis of current-day vs. PS-1A seistaic stress calculation, PS-la analyses envelope the designs based upon B31.1 spacing for deadweight applied to seismic restraint.

9 or M YANKEE ATOMIC ELECTRIC COMPANY catcutaTion no. Pace e suoJECT REVICWCD DY DATE work ORDER No. PREPARED DY DATE \\ Deadweight plus seismic stresses, computed using the PS-1A technique are the analyses of record and should result in more severe conditions 1 (for which the system was ultimately designed) than those using current-l I day techniques and more detailed G-factor determination. Therefore, the pre-Robinson fix spectral acceleration data will be used and compared to "2f" values in Table 2. l The Maine Yankee containment ARS curves at various elevations, (up to and including El 96'-0"), were used in tabulating the following information: OBE & DBE "0LD", "NEW" (Robinson-Fix), and 2fs (spectral f i acceleration corresponding to twice the peak f requency). In all cases (Table 3), the analysis of record results in a more severe stress condition. The existing piping and support configuration was erected based upon the design requirements of the analysis of record. Hence, it is concluded that piping, designed by conservative analysis, is in accordance with and meets the requirements of B31.1 Power Piping Code 4

YANKEE ATOMIC ELECTRIC COMPANY C ALCUL ATION NO. PAGE OF _-* sto;ccY PnCPARCD BY DATE HCVIEWED DY DATE WORK ORDER NC ~ TABLE - 2 l OBE DBE/SSE Elevation I ano Curve Nc,. New Old 2fs New Old 2fs 27'-6", 1 & 2 1.1 0.90 0.125 2.2 0.683 0.20 34'-6", 3 & 4 1.1 0.994 0.1375 2.2 0.708 0.2125 50'-0", 5 & 6 1.1 1.1 0.150 2.2 0.90 0.225 i 96'-0", 7 & 8 1.51 1.51 0.2125 2.2 0.975 0.2875 All above acceleration values are in G-units.

YAtlKEE ATOMIC ELECTRIC COMPAllY cAccutATionso. r^oE cr s'U U J E C T PnEPARED BY DATE R EVI E'.E D BY DATE WORK ORDER No. I i I i TABLE - 3 Containment G-Factors Evaluation Equation Elevation G - (Old) G- (2FC) EQ-1 EO-2 27'-6" 0.90 0.125 1.090 S 1.90 S DW DN (0.50)* (1.50) 34'-6" 0.994 0.1375 1.100 S 1*99'b DW DW (0.50) (1.50) 50'-0" 1.10 0.150 1.110 S .10 S DW DN (0.50) (1.50) 96'-0" 1.51 0.2125 1.161 S DW DW (0.50) (1.50) All above factors are based on OBE-Level spectral accelerations. All acc.eleration values are in G-Units.

  • Minimum loading from Reference (1).

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YAllKEE ATOMIC ELECTRIC COMPA?JY C ALCUL ATION HO. PAGE OF SDDJCCT PREPARCD BY DATE ^ ' REVIEWCD DY DATE WORK ORDER NO. t In summary: (a) piping, designed based upon natural frequency criteria, was subjected to a conservative seismic load (in excess of the appropriate ARS acceleration). l l (b) piping, designed using B31.1 deadweight span lengths for seismic, was subjected to factored peak acceleration loadings, despite the observed similarity between resulting spans in (a) and (b). The comparative analyses presented herein show all the analysis techniques to be highly conservative.

13 or. M ANKEE. ATO?.11C ELECTRIC CO?,!PANY cAtcutATion no. nAoE UDJECT

  • /

WORK OR DER No. T/ ' ' 'f I' OATE - / REVIEWED BY DATE REPARED DY E uyyort_Information S Pi The following is a coarse characterization of pipe support data for "simplificd cnalysis" piping at.aine Yankec: M (a) Field Run piping, discussed in Stone & Webster correspondence, Reference (4). (b) Equipnent/ Anchor reaction load design calculation, Reference (5). l (c) Standard seisafc restraint " decal load" approach with design loads based upon supported pipe size, Reference (6). l i i i 4 r-

lr or-AllKEE AT0!.!!C ELECTRIC C0!tPAflY cAucutATionno. eAcc i UOJECT '~ ,~ / '/ 'l REviCWCD DV DATE work ORDER NO. -/'- 'REPARED DY -). Y ^ DATE -> Field Run Piping According to Reference (4), field run piping was supportcd in a tunner dictated by (Stone & Webster field) stress analyst with " typical type of pipe support which can be used for (these) anchors and restraints". The charting method secved as the basis for the pipe span design length determination. The support " typical type" reference, as explained by Gary Harper (SEW) meant t.2at the direction of restraint (only) was determined by the field stress analyst; the actual design of the support would be based upon i' the loads tabulated in Iteference (6), using classical techniques of f engineering mcchanics.

YANKEE ATOMIC ELECTRIC COLPANY caucutArion no. Pact s or SuuJECT OATE REVIEWCD oY DATE WORK ORDER No. I-PREPARED DY -= Standard Seismic Reaction Loads For expedious seismic restraint design, a tabulation of conservative seismic support reaction loads was developed. These were commonly referred to as " decal loads" and reaction magnitudes were based upon the size of pipe that was being supported. The reaction load magnitudes versus pipe sizes are given in Reference (6). A comparison of the " decal loads" and reactions computed using simply supported beam is presented in Tables 4 and 5. Table 4 gives reaction loads based upon simply supported beams with uniformly distributed load (equal to pipe plus contents weight) for different pipe sizes. [ To consider seismic inertia effects, the reaction loads in Table 4 l are multiplied by the G-fcctor tabulated values of Table 3. Although there is ample justification to use the EQ-1 factors, for added conservatism, EQ-2 factors are considered as well. (See Table 5) i In all cases using the Equation-1 seismic factors, the S&W standard I seismic design loads are much greater than resulting EQ-1 reactions. The standard seismic reaction loads of Reference (6) are even higher than the ultra-conservative reactions computed using EQ-2 factors i

/ cat. cut.4 Tien no. eacE or YAtlKEE AT0!.!!C ELECTRIC C0!.! pally SU BJ ECT ~ PREPARED DY OATE REVIEWED OY DATE WORK ORDER No. l TABLE - 4 l Pipe I W L Reaction Size / Schedule (in ) (Ib/ft) (ft) Force (lb) 3/4" Scil 80 0.0448 1.657 7.53 12.48 1" Scil 80 0.106 2.481 8.34 20.91 1h" SCH 80 0.391 4.40 10.13 44.57 2" Scil 80 1.160 8.42 11.31 95.23 3" SCll 160 4.210 16.64 13.16 218.98 4" Scil 160 6.620 26.52 13.12 347.94 6" SCll 160 13.30 54.46 13.04 710.16 E = 29000000 psi, .y 2 (wt/2)

1. e 0.371 El R=

W fs 1 n i cach span reaction contributions from adjacent spans

YAllKEE ATOMIC ELECTRIC C01.1 pally c Accuurion no. eAcE or I $buJECT i r 1 / DATE REVIEWED DY DATE WORK ORDER No. PREPARED DY i TABLE - 5 l " Decal Load" S&W Pipe Size Equation - 1 Equation - 2 Reaction Schedule G-Factor Reaction G-Factor Reaction (1bs) 3/4" SC11 80 1.10 13.73 2.05 25.58 300 1" Scil 80 1.10 23.00 2.05 42.86 400 t lb" SCll 80 1.10 49.03 2.05 91.37 500 2" SC11 80 1.10 104.75 2.05 195.22 750 3" SCll 160 1.10 240.88 2.05 448.91 1000 4" SCll 160 1.10 382.73 2.05 713.28 1500 6" SCII 160 1.10 781.17 2.05 1455.82 2000 i'

M or-71 AflKEE. ATOMIC ELECTRIC C0.'JPAtlY cAccutATionno. eAcE UUJECT RCPAnCDBY , /. / DATE ^!O, RCVIEWED BY DATE work ORDER No. /S i I Equipment / Anchor Reaction Loads Reference (5) contains engineering instruction for simple, hand of forces and moments due to seismic on equipment and/or calculation pipe anchors. The technique is based on a beam fixed at one end f (equipment / anchor) and pinned at the other (pipe restraint) model, i subjected to uniform loading. The applied loads represent i deadweight and a seismic component based upon 1.3 times the peak l spectral acceleration, with applicable ARS, already reflecting the Robinson-fix procedure. 1 An assessment of conservatism is based upon consideration of natural frequencies. The seismic loading of 1.3 x Sa (max) are required for those systems where the natural frequency of the pipe span (f ) is in the p range of the structure's peak frequency (f ) 1.c. 0.9 fsIf 1 1*1 f - s p s According to the Kellogg book, for the given restraint conditions: (EQUATIO:: 3) f = 1.16 ' EI P L' W Consider limiting f > 1.1 f. Then the maximum span length is: p-s [ EI 2 1.16 L = W and 1.lf, b _1.055 '[ EI L = W f t s where f ~ 5.8 llz for piping supported off the containment. Considering the most flexibic pipe span cases for Maine Yankee, Table 6 contains resul ting values of L based upon frequency. nax 7

YANKEE AT0!.!!C ELECTRIC C0?.tPA!1Y cAtcutATionso. PAGE OF i $UbJECT REVIEwCD DY DATE WORK ORDER NO. PREPAnEDDY DATE l TABLE - 6 1 Pipe Size W I I,maxfn I'PS-1A l B31.1 and Schedule (1b/ft) ( i n ) (ft) (tt) (ft) I i 1" SCll 80 2.481 0.106 14.23 8.43 7 i lb" SCII 80 4.40 0.391 17.09 10.13 2" Scil 80 8.42 1.160 19.07 11.31 10 2 " SCl! 10s 5.89. 0.988 20.03 11.88 3" SCII 10s 7.94 1.820 21.66 12.84 12 4" SCll 10a 11.78 3.960 23.83 14.13 14 5" Scil 40 23.26 15.20 28.14 16.69 6" Scil 40 31.50 28.10 30.42 18.04 17 Modulus E = 29 x 10' psi fs (peak) = 5.8 IIz

e 2 0 or. ANKEE ATOMIC ELECTRIC C0?.iPANY caucutaTion so. exoE UOJECT ~ ~ /O ~~ ' V' 2/1 ['/i REVIEWED OY DATE WORK ORDER NO. REPARED OY DATE l i e i From Table 6 it can be seen that in order for the span natural frequency to approach the resonant range, lengths greatly c:.ceed those tabulated in both B31.1 (for deadweight) and as computed using the S&W i t PS-1A technique. Further, even if such large spans tecre to occur, the f undamental, lowest natural frequency would f all into the resonant range, while other frequencies would be excited by " rigid ran;;e" accelerations. Based on the two previous facts, the 1.3 x Sa (cax) seismic + deadweight load application to spans addressed in Reference (5) results in a conservatively severe equipment / anchor reaction load condition.

YANKEE ATOMIC ELECTRIC COMPANY catcutarion wo. nacE - or StJDJECT ' h /77 REVIEWED OY DATE WORK ORoER NO. N/E DATC PREPARED DY l l I COMPUTERIZED (NON-DYNAMIC) SEISMIC ANALYSIS l According to G. Harper, D. Shave, and M. Pedell (S&W), " static" seismic analysis of piping for Maine Yankee was performed using a technique generally identical to that in the SHOCK (pseudo dynamic) era programs. i In fact, the difference between static and dynamic analyses lay in the computation of (equivalent static) inertial loads. The system response due to a vector of inertial nodal forces (computed by pseudo dynamic or equivalent static analysis) was determined in an identical manner. For static analyses, inertial seismic forces at system mass points were computed by multiplying the nodal lumped mass by the peak spectral (factored) acceleration from an appropriate ARS (Reference (9)). (In dynamic analyses performed by Stone and Webster, inertial seismic nodal forces would be computed by statistically summing products of (modal) mass times a spectral acceleration value corresponding to the natural frequency of the vibration mode). In general, the pseudo-dynamic method was preferred and subsequently, largely substituted for static analysis, Reference (10). All piping designed and analyzed by the static method prior to the " Robinson" resonance evaluation was rc-evaluated with higher seismic loading and shown adequate or if necessary, redesigned. I

22 or AfJKEE. ATOMIC ELECTRIC C0!.!PAflY catcutarios no. eacE U t1JEC T HEVIEWED DY DATE WORK oRDEH No. / d Ya D A T E " !? !' ' 'f REPAHED nY References 1.0 S&W General Instruction PS-1 A for !!aine Yankee Project

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2.0 S6W General Instruction PS-1A for North Anna Project i 3.0 Aup)ified Responee Spectrum Curves Used for Maine Yankec, Obtained from Stone 6 Webster

  • 4.0 S&W Memo, L. M. Perry to J. V. A. Longcon dated January 22, 1971*

5.0 SLU Interoffice Correspondence, L. Neih to P. Puglisi dated July 25, 1971* 6.0 Stone & Uebster " Design Anchors and Constraints for Force of (piping)", from S&W Earthquake and Thermal Constraints and Anchors Nomenclatt re for Plan Vicu* 7.0 Maine Yankee Piping specification 8.0 ANSI 1331. ] Power Piping Code 9.0 " Design Notes - Earthquake Analysis as Applied to Equipment Components (at) Maine Yankee Atomic Power Company" by Stone & Webster, dated N' January 11, 1968. 10.0 S6W Memo, M. Pedell to J. Lance dated January 13, 1969.* excerpts attached n t-

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3. Ccem r 3:s of c.:~: orts L, cc 1 read fres the desics chnrt the ced imi e W:s 1-,.,, et i,rc.rity = 1.0

( /,. C:s c eelthi "C" facter of uicaic ler.d itrnithod try F1-e !. tress 1.'; ~.". e:r t ilch is re rescati.the of C.c:,r re:ponse c octn n. Lit-72 and S ig, respectively. i;Q f,1y, / t.'ere G2 factora to cbtcin 4 g 5 Colchta se.u 13 /(c,2-e2} 2 IT 6. C.ack ccs3ast pris.sry stress criteria ~. ) OD*3, N U CI h (2) ED+k'*#C27. D

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(/.) o 7. Ceir. pipir.; I'lexibility r.orogra;.5, doternine stress' caused by th.r al defaccticr. c.uj cacek against encoMary otross criterias r U) S g G 1.250'c + 0. Wh f C. If, dei to vn.r$ous reasons, constraints can.ict be locstmi es t.'svs in f.tcp 1, thas stress-intensifict. tion f actor tstuhted in ~') /. talix D, /.;31-101.1.0, d.tci 1%7, should be scplied to Sg, C. 3 cr.d E.g cbtained in Steps 3 and /.. 9. J.f, for any runen, the actuaJ pipe span excoed. the culculet d L s.a ict ar.'i. d in T.r;. (1), c. cc:puter antly:;ia = w. t= eset j cr 15 s hl-3r t-edes of :cir tic recpr.sen rust be uu.d by e-lyir.g i pn.k e.eeci'.r.t t.j on of the re conse sp 3ctrera as the 'G" f:.cto r. The i dsviati:n-; 9a ::enticr.cd.ituv 3 t y lo 6t.c to tho inability to locates rup; orts Care rec.uarod or dus to very low sels:ic excit2 tion. t

10. If d:sirvl, :-:-.ut, tier.s of euct it.tcrface force;/tc. c.ts tet.cen i
r. :.Il si: i p"it-cr.d C in en 1,2,3 quir at(p ap, ::e.'. ucr.e;.:r, tr.k) are t > t.a p-irfor,:d by tr.,p ator rnaly r,ir, b :.:d qca a r'ig j e.41 ref c1 up t o n e ar. := t pi p s a.n ho r p> int fr n tia t ry ip -~ a '. r.o r-1 c.

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2f r ?f ANKEE AT0!.!!C ELECTRIC COMPANY cAtcuurion no. eAcE o W f fE h F Nt' /^ ~ l UDJECT WORK ORDER No. N O J ' DATE'/!I!'If REVIEWED BY DATE 2REPARED DY i, 1 t/)h '

  • 3.

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intulatica) lb/ft L e Icagth battesa pipe agports, ft ( P a cperating pressure, psi gage d a em t r.al insido diameter of pipe, in. j g a cosiaal outside dis =eter of pipe, in. f, a pasi ruostat frowency of structu: e, eps f a p:edetemiscu fed.cer.td nstural f reper..:7 of p;p s, g, j p l Q a lo.gi'.edir.a1 pressu e strces, ps! g Sg a ded load stress, p:,1 Ta;. = cpra'.ic.s1 tuis esrthgne stress, pri 4g a daeisa basis earti.qJais strese, p:1 g t' e rr.d s t re n, pa i s a allssatie stress at ambit..t te.:peratre, pa' . !stiu t '. i a.: 4 ( m() 4 al'.able s tr es s at cpr. tin ts epara t'ir s, p e t ! i.. - 3. 1. D a n c 3 u.r. 1 c sfac.ti:s. }/$ -(_.%.,/ >.. S. h.1 l i i 1 I I i i i hO $'D OWM f ' ULbJ Nud@]df m i c. t ,ap ~~* - " * * ' " * ' * ~ 1 g kmwe > M 9 a %.NOw$*A _*h*W

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A!!KEE ATOMIC ELECTRIC C0'.iPAllY cit. cut.AriOu no. exoE 16 or -75 / xc7,;p; g(y j' u tn> Cc T / C '~ DATE REVICwED OY DATE WORK ORDER NO. " ' _ _ ^ ". ' "L __ ' 1 'l Ac,e i Jf/)st4E YA e f ff f a [o ti T s et t.s et b

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ANKEE ATOMIC ELECTRIC COM* PANY C ALCULATION NO. PAGE b OF O Iflt f f ff t>G -fj ~ UOJECT WORK ORDER NO. bO 4 "b b HEVICWCD OY DATE REPARED DY N' b

  • DATE

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ANKEE, ATOMIC ELECTRIC COMPANY CALCULATION NO. PAGE 8 OF ' Mf f f fhc'l - 4 ) UDJECT 5/N !'/ [ REVIEWED DY_ DATE WORK ORDER NO. REPARED DY ~' /' DATE 80 o 3 ., -..: r ? 'te > [).%eI*'. .f '.3." 8)h gi I h J - ~ : '.. /. } 1 ~ " -'

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! ' r. c.- INTEROFFICE MEMCRANDUM w o e.o A... ... :tn..ittagit!ts I'C3 g 12,:!.IC AN ALYSIS c.i DATE,..i nt a. !.y..,, i co.1 l SUDJECT r . I. v..,. o L T %h.:.. d.i u..t....u a.2 1..J. i. D, r.,... n 7.,, .n i !! AIi;5 YA'.ra..' AI'LMIC PLWEit STATIU;i FROM i.!'i'erry O T v 1 CC General Files l JVALongccr J!! Pedal] i 167.lan ce I UJ!./.an& dv L St.rco cc f'T sJA b rain-/ KClarX I NitG111a r t i A 7.P.Brc vn L.;Pr:r ry/J.b 'Eck ( C J.r1 nndrcn '.li cc7 :ce t Af?GLve i 1

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A:ISI P31.1.') - 1967 Coda for Frorcure P! p:ot; di.nc n,t re cui re sel snic ann: yci s to t" document"d f or dl ar. ny.sti c ni nin nor i had the A.i' aud tor eynr.' c:md a n-/ i n te rr' r.t. a thi s na t ter duri ng, hi s vicit late lant year (11/?U). There in a conc!d-rabic t, a.unt of di a grnavi tl e c i-i n:.; n ! ro:=d y annly7cd for eart*:qu ar ". A li st of tr.i c :- ing :ti;I to ie annlyred wac forvaried t.. the fle' d fcr tnnir u ce. A cory cf tha t li st i s a t tru. he d Tw your $ r.fcr.3 ti cn.

,uri nr, et.
necting f

vi th *.I. J. L. i.ennady et the a f te rnc c n c f.' > ~ c r y I. IG71, tre procedure cutlined beltu vac ncrr'ed ur s.n t'. ccipleto the reicnic efforts. It shculd prcvide for an,rc>.i.a t<- iccati;ne cf the seismic anentra and rertr sints unile v. int ining m.inimun cf docuen ta tien. 1. When a group i f di:rgrnnr. tic iinor to be reirnic analy7e-1 has been s:rected in an nres such n the Primary I.uxitinry !uildint:. tne f!Nd vill no ti fy the tbston offi ce ( L. '. Prry). 2. A ctrecs analyni c enginec: frem bcr.t:n wii! then vi cit the job si tu to 'rfern 1

rve y fo*-

the puroc ce of i nca ting..ni-/ coinnic ancnor- -t! restraint: F-thr. " 2 n. nn. n 'ir-3 The fiMd,*ill rt.vi le the en:; ne wi ' > -rintc of the tir;ng s! r<-rir3) d r " ' ' n,- u*. ' ch inc:nde the li e - tu." tr< r r : nol y zed d'.r'. u-h - v! sit. b. T:m utre-r on,1y::ic "nginacr. tith tr.e ai d ~.n the .c ! ' ne n bi r,, H / m n t.. f" w cha r t ! nr - ' nn r. 7.i n t<- u ' '.1 a - v!'l than N !ndic.'-I and 'niti9lai '".: e n t'ic #i s Id ;rint: 'ft' n i ri n;- dravir.cc Vit. v... 1 n,in' !n.d in tho f'i > l d fr.r r-ttin t n :rns t c.. ;<. k'A 'Tb o r r r N, ad 07c 3 JJdMllo r s d$d WJ Jdr I'3 JAM 2 C i971 nu

E'J M A.tlKEE ATO?. tlc ELECTRIC C0!.!PANY or cat. cut.Arios no. excE ( fM/g (gfg g _ e j uu;Ecr Ob h/h REVI' wED BY DATE WORK C LDER NO. E nEeAREDDY ! DATE = =

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7 n h.v 't'g's.ip,7'W.d t 3 1 ^ i*l ; c n. i n %t j 1/22/?1 - 2. O I The stress engine-6r vill niso indiente a tynical type ^ 7 9 cuercrt which can be used for those ancncrs_ '.i.'"' of pipe C and restraints. (Juring a recent visit to tne field ' 'e Mr. H.'I. Kicure gave a copy of scne of the typica; ^'- si;etche s menti cned 9bove to y.r. avo sorctto). ta J furnish and erect thoco coismic anchors The field will 6. and restrnints an Indicated c,n tne field-prcvided \\ prints cf the pipinr, cravings in addition to thcce other ncn-sei smic.ipt supocrts norrclly nrovided by the field. the only record that vill bo maintained recarding These prints are the calculaticas for diagra '.atic niping which nas not already been completed. By copy of thi< memoron hn, ! n a n,tifyinr. tha in+erectad entties who a t. tended en e.rlier ?.enting en the nf te:rnen c.f Jnnu iry 18, to discuss tnis Oatter. I ' li"ve ve vill racoivo the cooreraticn cf thosa pecolo in succe ssfully co.cletins* tni r vor?. using the s c.f'97_ ,Q above prccedure. W f..!d...f.. W "y. s ^ Q99V}. f / Iorr y 1 incl o sure s if dveu 309] X L t

FI or L ANKEE ATOMIC ELECTRIC C0!.!PANY cat.cuuTion no. eroe E ~ ~ ~ NEliYs'W/ UDJECT DATE #/. / REVIEWED BY DATE WORK ORDER NO. /d K /' ' R EP,,RE D DY n ~ f C" I, r.p,:;; ?:'h..~.,[ p 4 S a r -

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h' ANKEE ATO?.!!C ELECTRIC CO..iPANY cAtcutATion NO. PAGE OF UDJECT O S' ' / /. !"/ ' REVIEWED BY DATE WORK OR DER NO. OATE REPARED DY ) i h * '.. ,1 . i,j 'i n o. } !',. l,, j j tiH no PAGE No. EJ.Yer PPs0B N(' . ". c. s J. O. l15 5 0 MAlN2 YANKE5 WisCASSEiT DESIGN STRESS AN/tLYS(5 f EP!NG SYSTEM - Aq as w_ cs,y LiNF. MIS!GW ATiOW - uggam h,g T'- 27 A, S, + c. DWG. NO. l/55 0 - FP 9 UN itc,,;;,p .N <g,v..,;,9, /Is go _t y e_.f g, g

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E-N or ANKEE, ATO..!!C ELECTRIC CO..!PANY cAccutAviou no. eAcc f'555 -N ~~ 5 .uknECT 0 O 7 REVIEWED DY DATE WORK ORDER NO. [ ' [. OATE' REPARED DY l w,'. .u.u,.. r.,.,.i o. fi. il = I _ i .se u **'a sTo u s te w i m v _ c 3.. ~ t - s o. c o s. n o n s ri o s si., it.= _ F_E - 4E___. cas.cutation sHet t .t 1 E r.i _.h'a 1111: Ygtiy,r.t w,s.%}Yi<.cAssET.Mr y$r ti A L20KE '.os-II.<EC._ 2 .on_Sc cc3n g gr_ Cwa,_Ew;1._,.f/Argrt @te.ttta O L2 7 I

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ANKEE AT0?.11C ELECTRIC C0!.lPANY cAtcutATiOs no. excE or Ut1 JECT NE O' /i R EVI'Ew E D D Y DATE WORK ORDER f40. _'RE PARE D DY__ V'_b ' DATE I e A S... 4 $ 10..! g. .v : s c t.'. w...ni.s s v.'.r C a m i v.. '2* e l' A rrA CHt t.? v7',) C69 tt 5 -u 3, 5,!. l U r,:' : d.5.) $ %. f '. /J. , s i L.it i ni ' n., i j-I i' EAaTHOUAKE AND THERMAL COYi5TRAINTS AND ANCHORS' NOMENCL ATURE FOR PLAN. VIEW ~~CCNSTR Af fl P:FE IN ALL DIRECT!CNS (

1. We-- ANCHOR

_incLUCit.G r.O T1.TIO N S. 2. VERT lC A L CO!!STP. AltlT [f'[c'fi$'.7 $[t$ IN VERTICAL

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[$'/,$Ir"u^'dl-[.ft i'l's^.L I h LATER AL CONSTR AINT - $"to'r,"fYrM,3,I'[A Ns." S I 4. S.-PF~ VERTICAL AND AXI AL COllSTR AINT. .1. G. c VERTIC AL AN D L ATER AL CONSTR " INT. r 1 y.

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r i G. iiYDRAULIC TYPE SHOCK DR ACE. 9. OTHER AND SPECI AL CONSTR AINTS ARE COMPLETELY OESCRISED '.'llT H LOC ATION S SPECIFIED ON Pt PING PL A US.

10. DESIGN ANCHORS AND CONSTR AINTS FOR FOP.CES OF:

[ 1*lPE ~ 300 LB S. 3" PIPE = lOOO L 53s. 1* PlPE = 400 LO S 4* PIP E = 1500 L.3 3. 1[ PIPE =500 LOS. 6" PIPE = 2 OOO LB S. 2' PirE = 7 *.O L e 5 n-7 I I 'J L F y On -, s m_,

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L a. \\ s 6 i. .o f&ffs f!?)'f - l6 Q)DJECT ^jr n PREPAREDBY DATE ~ L' REVIEWED DY DATE WORK ORDER No. . INTEROFFICE f.1Eff.ORANDUM n u J.0 no. 11550 SUDJEcT PI?3 STP.EO3 /J:.L73IS DATE Cantary 13, 196? ST.:.?IC ';S. iTE *:J:iC '"F 4

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O TO .r/Atenceor cc cenerai rites CTChave/dBA11 red i!C:foednan CFReeves + As ycu are avare, the 1:aine Yarhee pipe stress work was to be accenplished by the static analysis nethed as instructed by

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C..lc ed..a n. The static nethed would save r.any entineering ncn-heurs and ccuputer ecsts, but it vould net indicate whether the pipinc systen vould te in resenance with the structure. We also pointed out that the static analysis vould require using the r.axinun acceleratisn of the respen::e spectrun curve at the elevatien at uhich the pipe is ccnnected to the structure. Inclosed is a spectrun at tround clevation and a tytical stectrun hit er in the structure. Ycu vill note that tha pe'ah accelern-h tien of the latter spcetr'.r-is nuch larger; this veuld cause higher stress levels which ent'.d nean tcre vertical suencrts or hori cntal ccnstraint to reduce strasses, if necessary. On the other hand, the dyna-ic analysis dces not use the teak neccleratien. The prerran calculates the actual accelera' tion O-. vhich, thus far (in other projcet::) alt.ays has been auch less than the pea':. 1.lthouch the dynanic nethed is ere ecstly than the static rcthed, the sa.*in: in required pipinc supports a.3 constraints vill.cre than pay for itself, ile strencly reco=.end the dynanic nothod. ~he nrogranninC state of the art has ad tsneed to such a decree that it vill cost approxicately 02F,000 nore than the primitive nothod. b !!. H. Pedell Enclosure O J JJ\\ d fu d A o 4

Enaosues S STONE & WEBSTER ENGINEERING CORPORATION l p 245 SUMMER STREET. B O STO N. M ASS ACHUSETTS ADDRESS ALL CORRESPC NDENCE TO P.O. DOX 232S. BOSTON. M ASS. 02107 ~ l*" " a = = E.

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DENdiR CHL*R T HrL L, N J ENGINEERING PQ't f L A NO. OREG JN Yankee Atonic Electric Company April 6, 1979 Attention: J. Hoffman J. O. No. 12365.08 20 Turnpike Road Westboro,IG 01581

Dear Mr. Hoffcan:

MADIE YANKEE PIPE STRESS / SUPPORT EFFORT e The SHOCK 1 subroutine has been reviewed generically. With respect to the requirements of the license and with respect to the order to sho.i cause, namely that algebraic summation of directional l forces not be used, it is believed that the treatment by SHOCK 1 is adequately conservative. Those systems whose design included analysis l using PIPE STPSSS/ SHOCK 1 computer codes are believed to be adequate to perform their intended safety function in the event of the design earthquake. I Very truly yours, AC C. B. Miczek Vice President i,

APP. 9, 1979 HAItiE YArtMEE SMCCH II REArtALYSIS - itASTEP LISTIfG ITEH. FRC2LEt:. CASS 3. FRTY. LINE NUMBERS FH # FP RESCLUTICN SERIES (SA-) __...+.____.._.......__ ___.........____.... _.....__.........__,. _.........__.._...___+....___....._................__........ 1. 16A 18 1 10".CH-1 31D 14 FERU'i HITH FSTRESS/SMCCK III 2. I t t, 13 1. 10"-CH.0 313 14 REPUN HITH FST?ESS/Sr!OOK III 3. 8 ',3 21 . 1 1*".FC-09 / 14".RH.1 . 30A 1 3 A. 16 . PEFU:1 HITH PSTFCS3/SHCOM III 4. 775 24 . 1. 18".CS.1111 / 16".CS-13.14140 / 30A 16 & 17. REFUt{ HITH FSTRESS/SHCCK III 14"-CS-15,16117 / 16".RH_314 5. 7"3 . 25 . 1 00"-FCC.17 / 16".PCC.10119 34A "O FEPUt1 HITH PSTRESS/ SHOCK III 6. 70 . 17 1. 4 -FH-2135 / 3"-D"L.1971000 . 30A & 30A. 13 1 16 FEFU:1 HITH FSTRES3/SH00M III .....................+......._".................................__+_....__........_.......+..............___........ _..___...... 7. 1"4 12 2. 4".PL.00 30A 6 ti!H HA'O C ALCUL ATIC:8 "" FL.*1 30A 6 . i.D( Ht'O Ctd Ct1 ATICri 0 107 . 10 9. 134 . 10 0. 3"-HCPR.6 1"A 6 . tiEli Htit0 C AL CUL ATICH 10. Lith a. 10 . 2. 1.5".HCPR-5 10A 316 tiEH HA:.0 CALCUL ATICr4 11 11 15 . 2. 3".CH-61 31A 9114. FERL"4 HITH trSIFE 3"_CH-E$ 31A . 10 1 14 PCPUti HITH f:U"IPE 10. I< . 19 13. LIr E s. OS . 2 1.5"-PCC.161 34A N . tRH HarO CALCULATI0ti 19 77 31 . 0 3"-FCC-34 34A 00 . NEH HA!O ULCULATICtl 15 LITE a 36 . 2 6".FCC-47 34A 00 PEFU:4 HITH fiUPIPE 16 LItiE 4 36 . 2 3"-FCC-56 34A 20 RERU:4 HITH IUPIPE 17. LIriE a 36 2 1".FCC-3S7 34A 20 . tiDi Haf 0 C ALCUL ATICri la. LIfu 3 36 2. 1".FCC-SS 34A 00 . NEH HA'O CALCt'LATICN 17. L!iiE 3 36 1.5"-PCC.117 34A 20 . FLFU!I HITH tirIPE ... _+....................................__....___............_....+......................................_.....................___ 20 73 29 3. 6".FP.6 36A 19 f tEH MtJO CALCUL ATICri 01 10A 30 . 3. 1.5"-09-17 '3 9 A 03 FETJN HITH ICPIPE 02. 1:4 3C . 3. 2.5".CRG-11 39A "3 REPU!t HITH ttUPIPE 23. 108 . 30 3 3"-VFL _7 33MS 24 R EFUit (It CLUDI% 2"-VRL 7 ) HITb MJPIPE 24 109 3'O 3. 6"-VPL-4 . 3 3 Al'3 24 REFUN HITH NUPIPE 25. 130 30 . 3. 3"-CPL-31 33A!B 24 FERUti bITH tiUPIPE 26 135 30 . 3. 3/4".DFL.135 . 33MB 24 . 14EH HAto CALCULATION 27 140 30 3. 1.5".DPL-13: . 33AtB 04 . REru:4 ::ITH NUPIPE ...............+.........................................................................................__............. _____...... 23. 400 1" 4 1"-MAC3 44 41A 4 29 400 10 4. 2"-SA-72 IIA 4 Ia. 135 10 . 4. 2"-CT-3 30A 6 31. 133 29 4 0".CR-10 37A 10 30. 137 09 . 4 3"-E?-0 37A 10 33. 13) ? 4. 3"-EP-1 37A 18 34. 103 30 . 4 1.5".CD.8 3?A 23 NEH HAto CALCULATION 3G 103 30 4 0.5"-CPG-12 39A 23 36 125 . 33 . 4 ""-CPL.6 . 3 3 rdB 24 37. 74 . 31 4 16"-UMPD-112 06A 41 30. 72 . 35 . 4 10" FIPE PIPING (RELIEF VALVE LIf4E) WA FB-3A 3? L!NE a. 36 . 4 2".EED-1 37A 10 FRIORITIES:

1. SAF E T Y FEL ATE 3 PIPIT's F Co HHICH tlSK'S HEPE ISSUED ( CEtiEP ALLY. PIPIT:5 > 6")

0 - S *J E T Y FILA!i3 FIPIN3 <= 6" 3. Fic:i-S AF E ; Y r Et t. TID PIP!f.S <= 6". ICENTIFIED BY YAriMEE ATCitIC ELECTPIC CC. (3 31 77) AS NEXT GROUP TO BE PECOME 4 _ PMit-S *J T ! Y F EL AT E D FIPI!O. L AST CPCUP TO CE PE CC'iE 7"A78L E /

E e s - I STONE & WEBSTER ENGINEERING CORPORATION P. O. DOX 2325. BOSTON. MASSACHUSETTS O2107 April 9,1979 D^ 123c5.0S e o No. P. o. NO. LTR No. VIA RE F. IYankee Atomic Electric.Co. DEAR SIRS: i Attention Mr. J. Hoffmnn yo,,omo.,,o,,E g,,,,C,,,, 20 Turnpike Road L'OE CARDS TO Westboro, MA 01581 __ cop.ES _ PRiNn __ nE PRODUC..t,$ _ f EACH oF DRawiNoS SPECiriCArioNS DoCU-ENTS NOTES o8 CONFERENCE STATUS PLEASE NOTE SENT FOR YOUR } O RENAL 0 APPRovEo REvis o~s O o-issio~s O APPRov At O Co-E~T ^'O PRE U MIN ARY APPROVED AS REVISED IN SPEC F ATION O RILES O CONCURRENCE O No Co--ENT O Co-ENTS seccesTinNs As NoTrD O O YOUR ATTENTION IS DIRECTED TO THE FOLLOWING: RELEASED FOR; O rA i CATio~ PuRC ASE o NECE5SAav ATER.A's PLEASE REVISE AND SLBMIT PRfMTS R E PRODUCIBLES MICRoPsLM APERTURE CARDS. PLEASE SusMfT PRINTS REPRoDUCIBLES WICRoFILM APERTURE C ARDS oF ODoCU-ENTs O DRAwiNos O S or DEv A ' O Pt=AsE RETUR~ o~E cop < E ACs oP T is -ATER *L = EAR'~a vouR APPROVAL oR Co--ENTs. I PLEASE ACKNOWLEDGE RECElpT oF THIS MATERIAL BY SaGNING AND RETURNsNG THE ENCLOSED COPY op THIS FORM. WE TRUST TMAT THESE NOTES ARE IN ACCORDANCE wlTH YouR UNDERSTANOtNG: IF NOT. PLE ASE advise US. EMOULD ANY REvtSio4 TO DRAWINGS RETURNED HEREwfTM involve A PRtCE INCRE AsE. THE SUPPLIER MUsT NOTIFY 6 TONE & IM PORT ANT wEasTER PunCma$iNo DE DoCVWENTs oR,N TEN noi DAvs rvEN TwoVGw A cEriNiTE EsTiuATE CANNOT eE civEN AT TnE Ti-E. oTwERwisE. TuE ARrwENT wiTw PURCHASER w&LL CONSIDER TME REVISIONS MADF WIThouT Cos?. i MAI?S YANKE A'"0"TC MFR STATI0'T PIPE STR 'SS/ SUPPORT EIM)RT Enclosed is one copy of the base plate review for H-51 and H-53. Please note that this infomation begins with page 21 as it was copied from a set of calculations covering several hangers. Verytrulyyours,f hb h J.P. C::aika Project Engineer Aene.ar

J.O./ W.O. / C A L C L' L AT IO N N Q. RL VISIO N FAGE - {_ _ a oe 91 m PREPARTR /D AT C REVtEECM / CHECKER / D ATE l h D E P E 86 DE P4T f4 E Vlf V ER / Dt i t C' tM.f.'i t e d il /G /*7 9 SUBJECT /1lT LE Q A LATLGORY / CODL CL A', M >[ 6 / 4 E. P t 03TE 2Es> l E W I Ecr: FP. i7 A !. n v l H-51 4 H-5 3 ra se.. i t 1 G (. tic t (i t>wT s c.r.s Tsc.T Sc octoo C 5) PT' l '1 o c. t.

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0 A *ata lit !; I t I N l'. (# W l.Il%'l I at l'. N t ;I N l'.11 f t i N t ; (.I8ftl'il14 A IIO N 3 r e i........., CALCULATION 8HEET ltem 4 ^* i i l'* %/2 Bd*C 0' M4lNC,Vsdb/({,[ son ass.n. o'!/ff4 CSsT. V 's No 1 e sw..t Y ~6 - 79 "//lS-.5 2 3_m~ s C_U4C /CJie://?ar2S .h /?AW~ 2 Fe* L. D L "=* v.E'Ktwin p, pc c p,c 7 n..n.., A, - 7 'l

w..i r,

4 i' 6 fo* g k[ 7 0 l T- _u -x, r / '3 7PCW e M2 g L_ Q. 3py 7, = 10 n.?r z

3. >r_L

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y_

m C pf :

2. 427(.i'.37"+ 8 75"t/f.

1s /A " =- E x 2l, f 1s /4 /.2 6 " " 17 C i N l 18 $alhl l [ D 19 4 20 3.04 0 wx WAthor/ / Q= /,42 (2,/4) = 21 pr>c. co W 22 23 p A Cz a / 24 -;2w.cin n>a irsar = us u:rs .s 27 SK Mx 28 29 7 ( ff = /3. 5" 7~ = 4 4./A f 30 3 #2 ' PCL 31 7C / T~ = 32 ,z,,y 33 p. 332 34 &": [ (9'!) / 35 C 5 1'/r10: T

d. EC Pri

/ (p; f/,,,ggny} ,3ng f l l 3G 37 38 39 40 41 42 43 44 45 48 47 48 49 50

'b l'. s. t. A*"'"'" f41 e i N l' (# W I tt 44 31 et l' N e,1 N 3 3 1: 3 N e ; ( q e lt t t iIt A I I t l N g,,p,,,,,,,,,, u' C A t_ Ctlt A160 N fB10 F F T to I t f'. p,

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  • 7 l 2 0 t) 5

E O l' Y fMHc -' 10 f 1' 6'* Y /.3..s/ I 1 isen. cia. = (c. "r ) c (t d t .( 2 ^ k ! r c'l:. ~ 13

  • M L"' A )'

14 ect 3 1s (ens r3 @ 'liAf!'D7WE 17 18 19 20'E PL- / 20 ~ O

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a. e., t-

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  • n..

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A. e. e n !; g e n gJ 3, (i W l ll'n i 4. It l'. f d t il N I.1.It I N t i (.teKl*tpH A II O N g.,,i,,,,,,...y._.___.... C ALCUL.ATION nittistT ltem to1ep p t ft h l>.' i l> ='s~s o !! ' f f ' '. L 1 V *** '" %IY'S'E*# i 1 nsa,.e -l- (i=* ~ ' "' ! ' / J '~ D 1 i; L< 'l ' 2 s,r.y.- s. ,..s.o L..... L.A Lr - r ~~

n

,,.. < u.., 4-f.:;, - 72 n.b /% AQ( u...... n, i n,,.,.a [1 7 m $6 ($4l'. /tlA * $5 h ~-- ~ / / 6 (b,.,,,,.. : C.* ? ? ~. = <1 8 c :P c" ,s ( +5/*S ,h 9 4 j 10 11 (>f FC M A T I* {}, i-M."J '.* I (~ 0 03);ll.*7[xiJ.yc, (,, g ' ;; 12 j. 13 S? f # ~~  ? 9 "] IS 1

c. u.. - c. c, p.,.r 14 l

15 .# c i. r pp ( > f'%) 1s c a 1 i av c u. c. - e n , co. e e. s 19 20 21 22 s I 2' j I 24 a 26 27 i 28 30 31 32 l 33 1 34 35 36 37 38 4 39 40 41 42 43 .,f L 4 m 47 l 48 49 50

CALCUL ATIOt1 SHEET J O / w (e /(A40411AllON hu Mt Vitil O N PAut Y' /2 N.~ O ff nr vs8 wE R / CHF CKt n / D AT S INDEPCNDENT R E VIE W E R / D AT E ras rAns n / el A f 5 i

  • O f,tlA,.)?,AsOl
  • /~l'?$

y sCy1pl/I ll 7 * /'l 4A CAlt4Dfo /C(suf Cl Atfn SUHJt Cf / TITi t. f.d 2 /SC ? fc'd P/PC OGt* $~~ f O/.C.c AfMcHsx*S f' 77:uA/ul.,N' g, /trgist, - .4<~s'sy' i.//" .cu. w. tr uv.,, i. sa;y ,4.,e s* c s /' .f __.f_ _ //'//._ I wr,4 f 1.0./ O = /Io //N //. 7S ' - 2 04 /2 //" 4 49 / ~ ^ /2 b

///

/ at/07Z~; .A s*0/71Cf d'f L,2,,,$T) t r M / u,4 L -ryc t p,eo is (A sc/2 /CD / 1

  • /

l (MM" ?E gxgg o, mar:.y 70 v co.o33 n.) 9 T"'s CNC. K S BL2/D/<Ufp ,,/. s a ~' A= xs/(/s.7cf = /2 /4 z "-

p. as '"$

ls = 2o 4" S,'c g = est Zow I /3. o 4 ~ ' b ,, y = 4x.0/ a g (. c.) - i /JP/NM. / " BC'O///) YMC" 7XuA'AJtOA/ sfr cingy .s /pc 7 J~uf *~/ Cit %)/ 5 / ~ W&ftso d Aft /37~ iSC 2:7df> /06*ED '7 D / t OA' &cLup AL /n %i,l.'4 p/4 r 4,w J4.z I i I i C f f

",l:, rng, N s a eoio so STO N t; (/ W 1:It S T!: R E N G I N T. E R I N G COR TO R ATION rre t:au n s *> CALCULATION SHEET Ite m w 23 " 1 n,, a cr.p on c. ypro :r t,-.g, o s c e : < < c r r, w 2 s s,. a e or r 1.:

,n e nr p e e

i_ i:, e r s' no- .1 n i v. i 4-7 ~' 9 n.QA u % 3 r - r-- e.r r o v 'T w, u...... n. 4 .. 4 e., s G C H E-C X 5 FLGOK i a BOLT' s t 9 10 SHfAP :-

21. 3 2 g. 7 8 glpr. r

.gu ! T' o F 'c p 11

  1. 2 12 N'(b :

C = /) b b//j(. ; ' OI / I3 t i 14 / 15 g,2. ja c, g> E T r: ra ?, 206 Gl1 el 9 j. 1s 17 (2i e qfr(IG.8) '(oI) 18 15.c) t. $ G 19 t }'y a /g 13, h 20 Ef4 s 21 '3 ,2 y --a 7-o,(, 3 c n 24 it r,G 25 26 -fu T to L / a f t l.- { l.7 @ tO cf+ (0 4 &

  • l.?
  • ?

?. Y ^ i (s l. Y t t. G u 27 28 29 frP 6011 3. 0 p0C m, - I ? q lI p..: < ~ ~ \\' 30 I.cf 31 0 G'n P /} ~7 32 MCCl. {. J[ t 1' (r t: I br M 34 ' (I 7[ 47)+(C.18 tC nT E-!!'"kl. th = S O L. T

.A 37 38 p,y, sma,gt,

~5,' d - g v 7 o r , w m,w (uw m ua m x'a> -sia o u x-'- s 39 g 0'$C ) 40

  1. 1
v F r1 A ;;t
c..i tjl 0 o Y

Y :/ : 1 : 'I t l 42 'T. gw I S i c' o di '. <1 .')

  • Gt: $

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-m y l a g e '.. _d' } A *o s e t o $ T O N I'. It WI. D ST E R l'. N G l N E E R I N G C o n l'O R A TIO N

s., n n,,n,,

CALCULATION SHEET stem 1 _ chert rt' g ;f _ jj*)rf / [ T ts.c.th p_t$> f!i : - 'f F" No \\* 2 ri d'.* 1;, t s~ s ' "- /> A ' * 2 sun n e a f.' -

.,, n o e.;

3 pi pr a ja'

  • i s.., -l- '?

-;9 u. "ifA'<

  • A 1

6,.... 4-7-74 is,-' # ~ 5 /9. P 9 6 qf Hf$0 M /. O (;g. 8 y ), { h y j(, g,; 7 p L',' fE 7 f 8 11 t 9 x() 4. ff ({ C.47 R 5: E f gn r, 10 H* (U# d31 8 k7N 11 C y x t, typ ..s. Y. 13 I h,. 3. p I. > : Q E' 7' ' 7.?[rf1{/,1q.??) ~ 14 15 s f, ' M2 9 ,' / / 30 pI 17 18 Te I * !2$

  • l '/;' Ti 1,
7. '.

p T;.- 0 'f *{ 20 73-7, n

P '7, 21

./ L. 22 Io.G Tu 10 ; f, 74,, b ( ,,3 24 25 2 Tg 55Ts S Ts ^ 26 G.lf G" 28 e 29 30 31 MTa .-I* 32 T4 To : Ty ' 6 - 7,,,, 33 3 s m 4

  1. g*.'

34 7'i \\ r., ' d / 3 7a rT4 T, : a 77C 35 3G 37 3 [ ', e# 38 i g g (, '/. P ( 'l * ; * '/ 37) -,, .Ts' * - - ~ ' 3 A 39 40 41 I68 TC 7t* L TE H b~C N f' 42 b. 4 C *) % l ( - a' G :' tis i.o 43 .THCAl of 290 44 e r~ Tf' Trr l ( *4 r, o r'sh : q ?. ff i I ll ' ~ 46 X

s. u t 2 D

/. 0 // gg, 48 ~ / (a'Y ~; 's ( Q. 0< bQ'A ' k/* Dub C dli k (:12 cl.o't_ t d E 5 L / -f /, S 4, $p (g? s ; c, c-f4 A*G9 r+ G -e-e. e. ._m.-. O

_ h].. Pag. lin STONElt WEDSTER E N GIN E ERIN G C O R l'O R ATIO N p,,,,,,.,,,, e CALCUL.ATION SHLt;T ltem i i i i s. /.*' ' i yfer>fc w. c,,, p,,, r(f p e - l m. 1 ci.ri reAinf I 2 eni e race v i:er e a r < t pm] pi r e,- n,.. o-t. , q n. .- s 4 7 W

p. (f,4fd:

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1. C V gc5 tMFr1C Ci;){ 16 (f y 7

9 O* 8 rcin c ~n N -).'l ? F 4'

  • q' " I '

10 11 o.a

1. o
c. ; X 12 e

13 14 15 l* b b

0. Yb' m

16 re 17 TC14[ 57 pp ( j. C t C. lI '"el* % '#'#*7 -(3* ' ' 18 19 3.7 7 Cg 7D fg ) i/; 20 CHEfV Fol: reino" in p [M,,,/ r d. 7:3 4 - c..; f : - 4 59 k- -J 21 a.9 9 22 S Hf f)R

1. TF rl.

0 24 2s G c H ECM cct T mA

  • . c FC -

?.A 5Klee;- 27 3 e i; /, O &

3. cro 1s e

n ( l.rM.9 r/ t E : (:> 4 : I F M Torgt 7 e ri. 30 = StT. Go t. c. AJ 32 32 5'/f- /;'D'/S @ vat t.WC5' sssst'am ,g/4r$[C. 34 351 36 37 38 39 40 41 42 43 j f h ru4' akm,,& f' 46 47 48 49 50 9 e

CALCULATION SHEET ,.'o.,... f c. u u t,1, o. ,,0. .tvi.o. raut / 2 3 d. s~ J.9 Paf pAREP /D Af t at Vit W CR / CHtGRE R / D ATE thDEPthDENT R t vit w t h / D A T t a Cr,wrs,v/ 4-7 '7D a c,, o, n a - 7 yf os cattGowy / coot clan f sussicT/ Tif LE O?.c4x 4.v.:89/3 C ! 245[ t? 5 ,c0x. r'#! SP/ $ U.Ui7 3 7A d A J/C4'f't

  • l./ [ 6 4 [ C T S[Vls&

[$//D /f/Of./ ~~ 11 3 r is a l A'cViscD sivt.pt - l ,k.rs f6 20 r.& / < :sD ,: gy ^/*r t.uc., -/L2ie' + /s.r 9 sly ,., a 2.0 7 *h nr n /: 2/.32 ~x s.7o /*

i. co y

S '7/ /. 7/4

  • ld" "

nr: = 0 72 i ~7M4C .SHE d r< Bod.7 S /f6 i d ( 2.&7 + o. 70) * + (.7/f e 4 ?Q ' = .3,97 */coi r v" = l f. )?Cw stD 72*us/au' - 79 / Me. um wrec su.e rw w y sa-au. s. /J. Ce</*

  • x S~to2' sc7a

/M4.tf, Trat. ~rD'S/04

==- FCC Aow Art f l2 -~.sers -r ym ,{f, o r~,, l T' N. 3 5" 2, 6 * -wras / ~7~}\\ n " l0 ' ( f x.9 + to) N 1 are Pz2" 2.40 r.ad.47

  • a c2r
u -

a en: y / trs ~~ C C7' S**./02 + f,4, o a -Trrs t:. ,rovsn'.J

3. D 7

< ~. -rorA c c,ve,rit = /lic. ,% p.' 7~ h /'YPP' b*t V

  • b f6 e

CALCULATIOfl SHEET ],ol,, of, c,[c u,,,o;,0. R e y,,, o, /23& S~ 09 ..,,w PR EPAR E R /D AT E REvitwth /CMLCEt m / D ATE INDEPENDENT RtviLwtm/ Daft s f wistof 1-7-79 it s'riri A A/7/v1 GA ( Af f GOhv / C000 CLA25 SUBJECT / TIT Li / / Cxtcx m/cHuc1 '"A5f 2 ' FDd P//f" SP'.:r' ' r B047~6

2) S*

CNexit i a 20 P.&. / = /S. [ j;,s c //scu r / sVf pyc m f(2a: 9*+ /4.. r ') /.93 / s /.oS ,,,,g-2.o r + r n = wc .,o

0. 7/4 '/"#~

put ro f / = g -rorst suax w acars 2., s~ I'73 * * 'I (2,4,7 + os yf + (.7/4 + C. p 3)

  • Tk7/3/GA/

f/ Afg r.&s7' m w.een pa / pur 70 = y nw i=,e-m stA/f[C it'.Uf/ r :c. Scc s

oit, 4 22, #

rm2 seev-r (2 a nrs me. c.o >v) / s.&o ' sa. ,e n.r-put ro

  1. 17

.= (Sir Co.:c d-32

f. 92
  • w rx t 7zwsism

~ wcsi -rz?.rs ias iss: rs i, 2 s'*7 + 4 92 .=-

p. g, 2 =

c n 7 70 *

3. D 7 +

3 7.5 -r w x t SNrxit tasar.s I, 2 = f

Fage P o _ _.. ' S T O.N r. (< WEllSTER ENGINEERING CO R1*O R ATIO N pr, g,,,,,. _ _ _, CALCUL.ATION SH EET ltem i I l 1 ne ne Io % 1.p.es (nro s e? f yQr o' ( F tn. tn _. 'u ct ' ' '

  • 2 s a s.a

? " r* / y en er ts.' t' c 612,* fL n vec h '7 * 'I 'l Y' W o e 4 7.9 n ..r_/=_^ U = 3 popr < pp 'r <...u.., w.,.. i 4 ...a 5 6 I lY CdiS' ') ' ' ' G 7 ("fy.) D fj[(J (*f))'(2 ' I T ] ()f ...[ t' f ? t ( J CJ 8 9 Corr 1 C o N ( !. *-f f r' fi (c n [ F C L' 3 G:L i 30 o i 11 7/l d> c /H cH A rtcFt - 8 '/a f(f'!? E L F t' G ' 'l 12 13 ( f// twi!" Cc7 - S.cz' f gMD 79 -o 4' ,orrA camc,or .'A ") u 15 [ 16 R[ F (C

  • H G H FL LC 'l STVD f r* "A C &

b ( 7;2 W, st. s'ow pivi.r. on, cri3:D. P4'A r7765 o~ 17 18 ggogo ryp.s, Sc:r/od 4 3) l 19 Sr L g 7,,,.,,

  • f 'il4 y f. 2 5 # Il' 0 7 20 AAEA of SHFiGC conf 0)c:
  • itu4ll671E "

21 (Alt: M S A) \\ 23 Q m 24 /W A or P yRorn o 6/ T. 2 1 G v Il. ( 7,,, / /I C C t) 25 26 N \\ StJ C / ! H f r%? It' N [ /7 n OfP t 1 ** *> 28 29 's (t 3c? 11Ac : t> t ?.- ?" 30 rorni s.ntr p p a ti) : o 31 AJT s 32 33 34 Ql T I m()Tr (. L); ' 0 4) s~ c tWA ce t / C f C C. n'f. I N T 35 (' c a o. -u Pu : &cxpp JE 37 ,,s<. [f04 ~;C4 4,, p. ? 38 a 39

  • (). & J l n.'.! 4 '> A 4 y - C.~ g,
['.

p p (t 40 b fE V-41 42 43 g o,j s)f ,, g ( p g (.,,,.; 44 $ -f,' g " O C'0 W fgs qgg yr, A 46 /.d he 47 48 h T LtC C -,, <~.- ,.r-., n fl '! ). f! f b % t&%K/ja n e e g-

CALCULATlON SHEET ",,.', m o,','h'c h,',", J,",,,,.~ ,Ey,E,,, ,,,,>f L " /2f4. f. C.2 a sc m,, P REPAR E R / D ATE REVitWER / CHECE E R / Q ATE INDEPENDENT R E vi E W LR /C A T E $ f4 f.l/W/_)l Y' $ ** 9 $ lA' A A 21 A d'4 ")* ? O Gr. C ATE G O m v / O C O E C L A;,5 SUBJLOT / TITLL / C//tec 4.v e x oit.s 5 2d' SC 2 R??- P/pr 5.')PRJi:7~ f / s CHCCd COM G /su'CD T.Cx/S/Ox/ J %/C 4 e. ,cW1 2 2 x 7" 6i/Ce&'P /$. & 2 ' / Ea;.7* 6ie w P -rc m ION' 1.742 ' / /304.r &c.eurs cmc.4d = 2 0' Y 44 4 c w A A ' 6~.3 F / A~ rd ~" A44cwds34C wxt.s/ ex/ / ,., g pcsx w gysy m pc., 7,,,, / 0.33 4 s' O./94 ' l20, S /S.42 .,s. 7.20 = cr 2o. S* s =

f. 73 4 /. O OG O 'CMll.

/~A cro A, c>p* CAFq , s,* .,~,, > l x 40 dl'GA Cd'472* ,t94 /408E" / = AGd/MST O' S3 c44c. AM' .N (' 7.Ts" v a 1. CHf(Is' "/'p d GCL r FC/' re cn t?t Nf !> H f !W' t'. ~Y hl2C ni (w 9 /\\ pu tt i G ot 7 ) / GOLT I.G TE H -

r' c;.o1 T

= S.*? l<- S M f rl f o ni (202T ~ 3 9 7 /4 0.6 D' w f tw rir ! ri : rr n. p;T ro Q* 1f'I P '. - 0. AGI 7 0" T I * * " ?" }'T : l ( $t : P/,3 ) 46o mt.,duow G G2 XY

4. # ' "

1,u! ru: s i c! ', L fz. : 3

  • 4 7,/. 4

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  • 19 '4 r

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~ P/f'7 Y t

  • U ~ l'b5V h 28 I o. G l 7.jp k r ytt

( t*'st 1. G.3 ) / J

r.,. w ' ** a STONE & WEDSTER E NGI N El.R I N G CORI ok ATION /M p,,n.,n..,______. CALCUL.ATION SHE ET stem _ _. _ _ _ _ _ v/ r/ R ( f tor _s tjr.n a e i t _l G.g. ? lu Na 1 rnier t Mp3 i ee r ov. (1 - 7 ~? u " _ jf N v ' > 2 es,nt r;r ren A u tore c< f G, M r fl d _ f - 7 f __H. $ I *'2 0 D-3 i e r' Pu f't 's s' 'T s'..n Ro 4

p..s e, S

kj>;h f G A f((/:' fG (QC/lU ff/' ?:f (UT ~ f 7 8 N, /1. jq / \\ !s L' C C-Or C T 0ll T A l-A !E E* ' ' ' ' ~ ~' 9 10 3 /g

  • 3 /g /.

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