ML20116N680

From kanterella
Jump to navigation Jump to search
Seismic Analysis of 3-Inch,20-Inch & 24-Inch Butterfly Valve Assemblies for S&W,Agent for Pasny
ML20116N680
Person / Time
Site: FitzPatrick Constellation icon.png
Issue date: 07/19/1972
From: Holtgraver E, William Williams
FISHER CONTROLS CO., INC. (SUBS. OF MONSANTO CO.)
To:
Shared Package
ML20116N667 List:
References
NUDOCS 8505070307
Download: ML20116N680 (45)
v • d • e


Text

{{#Wiki_filter:. _ _ _. ATTACHMENT B if-5 .+4 FIS!!ER CONTitOI.S COh!I%NY Coxn.sexrAL Divissox PROJECT NO. CD72-23h g 8 CUSTCHER ORDER NO. APO-70,, i SELLER'S ORDDt NO. P-969hD SEISMIO ANALISIS ~ ~ OF 3", 20", & 2h" - - - ~ BUTTERFLT VALVE ASSEMBLIES FOR STONE & WEBSTER HUINEUtING CORPORATION SIGENTFOR S POWER AUTHORITY OF THE STATE OF MEW YORK 4 v, - DATE: July 19, 1972 ((

  1. A

// .PRITARID BT: William G. Williams, P. E. /6/'h te t APPROVED BY: Edward G. Holtgraver Manager of Engineering [. m 8505070307 850503 PDR ADOCK 05000333 P PDR i-

.2.__ 4 4 e FISIIF.it CONTitOIS COMI%NY Crnm.wxr.u. Divistox J i SEISMIC ANALYSIS )CD72-231:' INDEI M Contenta_ ~ u 1 Scope of Analysis..................................... 2 ~ Customer Requirementsf................................ 3 Pro cedure........................................~..... 6 Definition of Variables.......................... I 9 Definition o f Answers............................ Plane s A, C, E, & 0............................. 10 * - Plane s B, D,' & F................................ 15

  • Matural Frequency....................................". 18 Summary '& Conclusions................................ 20 General Arrangernent s & Calculations................... Appendices

~ g in the

  • Our " procedure" covers a larger number of. " planes" than are included valve assemblies covered by this analysis; please disregard those that do not apply.

As designated on the General Arrangements in the Appendices, Planes A, B, & C are on the power actuator and of the valve assemblies, and AA, BB, & CC are on the opposite end. m

.. s ,e FIS!!!Ut CONTitOIS CO.TIl%NY + CONT NENTAs,1)IVISION SESMIC ANAI, ISIS Page 1 3 ~ CV12-23h j 9 SCOPE OF ANAI,TSIS different types of butterfl$r valve assemblies are analyzed in this report 3 which apply to the following item and tag numbers. J Continental Customer Appendix Item No. Tag No. Size Type Actuator A 01 27A0Y-11h 2h" 9222

  • Bettis 733 SR Phil Opar H2BS Manual 02 27A07-113 lk" 9222 Bettis */33 SR Phil Gear H2BS Manual,

03 27A07-111 2h" 9222 Bettis 733 SR nii Gear H2BS muual Oh 27A07-112 2h"- 9222 Bettis 733 SR Phil Gear H2BS Manual B 05 27A07-115 20" 9222 ~ Bettis 732 SR Phil Gear H1BS Manual 06. 27A07-116 20" 9222 Bettis 732 SR hil Gear H1BS Manual 07 27A07-117 20" 9222 Bettis 732 SR Phil Gear H1BS Manual 08 27A07-118 20", 9222 Bettis 732 SR - Phil Gear HIBS Manual 11 27A07-101 A 20" 9222 Bettis 732 SR h il G. ear H1BS Manual 12 27A07-101B 20" 9222 - Bettis 732 SR Phil Gear H1BS Manual i C 09 27M07-113 3" 9220 Pbil Gear SMB 000/54 5 10 27M07-117 3" 9220 R 11 Gear SMB 000/54 5 ... :s...... c-( ,..,.a. 3 e e l

f

FISIIER CONTROLS CO311%NY Coxmuran Dmsnm SEISMIC ANALYSIS Page 2 CIrl2-2315 CUSTCHER'S SEISMIC Muummad Calculations shall be prepared to desmonstrate that these valve assemblies ] ~ are capable of withstanding inertial le= Mags of.0.62 g. horizontally and + ) 0.28 g. vertically, acting simultaneously, in addition to normal operating loadings. 1 Calculations shall also demonstrate that the extended parts of valve have a natural frequency of vibration greater than 50 cps. I The g-factors used were based on the option outlined in Stone & Nebster Engineering Spec. APO-70, paragraphs 231b and 23 3 (Design Basis Earth-quake). FURPOSE l ) i The purpose of this analysis is to prove mathanatica117 that the equipment l supplied by Fisher Controls Comepany is capable of perfoming all functions intended within the customer's specifications. l 1 f i l P -

FISIIElt CONTitOIS COMi%NY Cownxrxr.u. Umsson i SEISMIC ANALISIS Page 3 - = =, Three " combined stress values," the maximum and minimum acrual stress and the

==v4=um ahear stress, will be calculated for each area (Plane) being analyzed via our computer program. Only the total tensile stress, S, and the total g shsar stress, S, are used as input in the cambined stress-fomulas; and these s " values, which were arrived at through numerous contributing calculations per-fomed within the program, are listed on the printout. The formulas appli-cable to these co'ntributing calculations will be shown in this report with supplementary explanations as required. ~ A computer printout sheet is included in this report for each PLAE analyzed, and the location of these planes are marked on the General Arrangements. See Appendice's. - CRITICAL AREAS: The critical areas which might be considered under seismic inertial load conditions are Planes A, B, C, D, E. F, 0, H, and J.

However, as limited by the number of components in this valve assembly, all these Plane designations are not always applicable.

Planes A, C, E, and G are reserved for bolt systems between the valve body and i first bracket, between first and second brackets, etc. These apply only to parts located along the shaft centerline including mounting brackets for 2 rotary and manual actuators. 1 f

FISIIER CONTROIJi COMI%NY Cmrswt rar.Dmstox v [ SEISMIC ANALYSIS Page h U PROCEDURE (Cont'd.) Planes designated B, D, and F apply to the weakest cross-sections of the afore-mentioned first three brackets. Plancs H and J are only used relative to a linear actuator bracket - Plane H being the weakest cross-section and Plane J the bolt system between the linear actuator and the mounting bracket. NON-CRITICAL AREAS: The valve body is considered to be rigidly mounted in the pipe-line and is otronger than the mating pipe. Previous calculations have shown that the stresses due to seismic loading on the internal parts of the valve (disc, shaft, etc.) are insiEnificant. Therefore, these specific parts are not analyzed in this report. STRISS CALCULATIONS: The three combined stress values for each plane were calcu-p) lated using the " Principal Stress Fomulas." The %vimum Shear Stress Theory" 1v of failure is used as specified in Section III of the ASME Boiler and Pressure Vessel Code, paragraph NB-3212. - ' The total load at any of these planes consists of the normal operating load, plus the weight of those components supported by the critical area multiplied by the seismic 0-factor.. The latter is considered to act at the center of gravity of the j - assembly involved. The effect of the seismic inertial load acting on a plane is reduced as the distance j from the valve centerline to that plane increases, because less components are in-volved; for example, the seismic load on Plane C is less than on Plane A, etc. The valve body is considered to be rigidly and integrally connected to the pipeline. f'J .. c. d

FISIIER CONTROLS COMI%NY CowrimTAL Dmstow Page 5 f SEISMIC ANALYSIS PROCEDURE (Cont'd.) i CGFUTER PRINT 0Uf: Each printout contains two sections: the ANSWERS, gf.ven on the lower part of the page; an'd the VARTARTE9 on the upper part. The answers include: total tensile stress, S ; total shear stress, S,; unvimum effective t ahear stress, S, max;==v4== effective nomal s' tress, S max; and the =in4== n effective nonaal stress, S min. Nomal stresses am compressive if negative n f (-); otherwise they are tensile. s. All variables, pertinent to calculations for the plane being analyzed are listed on the printout.' See pages 6 to 9 for explanation of symbols. This provides the customer with basic background infomation contributing to the answers, and enables the engineer performing these calculations to check. the variables entered intio the camputer. Zeros will be used for variables where f j no numeric value prevails. r. The top line of each printout sheet contains the specific PIANE - designation and the corresponding ITEM NUMBER. 'Please refer to page 1 for the location of the 'Genehal Arrangement Drawing for each item, abere plane locations are marked. t NorE: Each PIANE must be cross-referenced to' a particular ITEM NUMBER. lO

m.-.r- - +

,-r-,.. v-.. .,~,..~~._.__-c.-.-.- v ~--- - - -,

FISIIER CONTROLS CO)IPANY CowvmxrAI. Davmiox SEISMIC ANALYSIS Page 6 DEFINITION OF VARIABLES II. Distance from plane being analyzed to center of gravity of first component I2 Distance from plane being analyzed to center of gravity of second component 13 Distance from plane being analyzed to center of gravity of third component I Ils Distance from plane being analyzed to center of gravity of fourth component ~ 3 17-Distance from plane being analyzed to center of gravity of linear actuator mounting bracket. 28 Distance from plane being analyzed to center of gravity of linear actuator. 29 Distance from mounting surface of linear actuator bracket to its center of gravity 11 0 Distance from mounting surface of linear actuator bracket to center of gravity 4 of linear actuator. 211 Distance from edge of linear actuator mounting surface to centerline of nearer bolts in I-direction. i I12 Distance between linear actuator mounting bolts in I-direction. f THE ABOVE MEASUREMEIGS ARE AIDNG CDRERLINE OF YALVE SHAFF (I-direction) ( II Vertical distance fmm shaft centerline to center of gravity of first component Y2 Vertical distance fmm shaft centerline to center of gravity of second component 73 Vertical distance from shaft centerline to center of gravity of third component Y14 Vertical distance from shaft centerline to center of gravity of fourth component 75 Vertical distance from bottom edge of component to centerline of lower bolts Y6 Vertical distance between bolts 4 Y7 Vertical distance from shaft centerline to center of gravity of linear actuator i mounting bracket i 78 Vertical distance from shaft centerline to center of gravity of linear actuator Y9 Vertical distance fmm mounting surface of linear actuator to its center of gravity. m .,m.e._-_,.. ., _ - _.., _ =

_ _... _ _ _ _ _ _ _ ~ r FISHElt CONTitOI.S COMi%NY CONTimrras. Division s SEISMIC ANALYSIS Page 7 i DEFINITION OF VARIABLES (Cont'd.) Z1 Transverse distance frost shaft centerline to center of gravity of first component. Z2 Transverse distance from shaft centerline to center of gravity of second oosponent. 23 Transverse distance from shaft centerline to center of gravity of thizst component. 21: Transverse distance from shaft centerline to center of gravity of fourth component. Z$ Transverse distance from edge of ocuponent to centerline of nearer bolts l 26 Transverse distance between bolts. Z7 Transverse distance frem shaft centerline to center of gravity of linear l actuator mounting bracket. Z8 Transverse distance fms shaft centerline to center of gravity of linear actuator. 29 Transverse distance from edge of linear actuator surface to centerline of 1 nearer bolts. i 210 Transverse distance between linear actuator mounting bolts. W1 Weight of first component i W2 Weight of second component i W3 Weight of third component Wla Voight of fourth component W7 Weight of linear actuator bracket W8 '. Weight of linear actuator i 4 6 O

  • 6 e

e O g A

1 FISilFJt CONTitOI.S COMi%NY Coxvixrur4. Dmmox SEISMIC AltALYSIS hge 8 DEFINITION OF YARIABIES (Cont'd.) 8 0, Yortical seismic 0-factor O Horizontal seismic 0-factor g Tr2 Yalve torque required (actuator torque required) EL Effective lever length of linear actuator l Ab Total root ana of bolts E Section modulus about transverse centroidal axis of area being analyzed gg i 7 Section modnina about vertical centroidal axis of area being analyzed 3 j A, Oross sectional area of plane under analysis I R Distance from valve shaft centerline to centmid of one half 'of cross i sectional area. F, Sh' ear force - due to seismic loading and force of linear actuator. l Mg Torsional moment due to actuator output, horisontal and vertical seismic i loading 8* TIM Yortical heading moment due to vertical seismio load and linear actuator j output HIDI Horizontal wing moment due to horisontal seismic load j. 1 i i i )' b i -.,,,.,n,,, ,-n.,. ,,.._.,-n,,.,.,-.,,.-.--..,.,-..-----..,,.---n Q,--..-.

i I i FIS:w.It CONTitOI.S COMi%NY Coxmrsr.u. Dmssox O SEISKIC ANALYSIS Page 9 '~ DEFINITION OF ANSWERS Refer to computer printout under " Stress Summary" S Total tensile stress due to loading g S, Total shear. stress due to loading S, max Maxiana equivalent shear stress calculated via combined stress forsrula ~ S max Maximinia equivalent normal stress (usually tensile) am1 minted via com-n bined stress formula Sn min Minimum equivalent normal stress (usually compressive) calculated via combined stress formula S yp Yield stress in tension of material at section under analysis g S,yp Yield stress in shear of material at section uxxter analysis 9 4 9 e i a a S

FISilF,H CONTitOIS COMI%NY ~ CoxTexrsras.1):visios ] SEISMIC ANALISIS Page 10 iG PIANES A, C, E. AND 0 These are all bolt systems and are subjected to both tensile and shear stresses. In review, only the total tensile and shear stresses are shown on the printout sheet. The fomulas necessary to make the step by step contributing calculn-tions to arrive at the above values, are perfomed within the computer program. These will now be listed and explained. (Definition of symbols on pages 6 through 9.) CALCUIATE TENSILE STRESSES: Tensile stresses result from bending moments caused by the seismic inertial load acting at the center of gravity of the assembly of co=ponents supported by these bolts and the actuator force. The magnitrde of this stress is greater in the bolts dere the==M== strain occurs, and the O strain produced in the bolts is proportional to their distance from the edge of the component, which acts as a pivot line. This pivot line is perpendicular to the action line of the force so can be either vertical or horizontal depending on d ich load is under study.

FISIIER CONTitOIS COMI%NY CornxrsrAI, I)lVISION SEISMIC ANALDIS Page 11 PLANES A. C. E. AND G (Cont'd.) By taking moments about a horisontal, then a vertical pivot'line, we developed the following formulas: (A1) and (A2) respectively (N = total number of bolts) i (11) Tensile load per bolt (Due to vertical seismic load) = i l VSM +Yg+Y)1(0.5N) (Is 6) G5+I6 Eere VSM (Vertical seismic moment) = (0, + 1)(n I W) 4 Note #1: Mere W = total weight of components supported by the plane being analyzed; and I is the distance from this plane to the center of gravity of these components, measured in a direction away fres the valve centerline'. (A1.1) For Planes 1 & B, VSM = (G, + 1) (I) W1+XW2+1W3+ etc.) 2 3 W2*II33*IWk h + ---- etc.) (A1.2) For Planes C & D, VSM = (0, +.1) (I2 W) (A1.3) For Planes E & F, VSM = (G, + 1) (I) W3 + Ig Wh+I7 W7+I8 8 (A2) Tensile load per bolt (Due to horizontal seismic load) = i HBM zg + Z6 I (0 5N) + i 23 + Z6 = (O )(:E!I W) H ere HBM (Horizontal bending monsent) H Refer to " Note #1" above. 3 3 + --- etc. ) (A2.1) For Planes A & B, HBK = (G ) (Il I W1*IW2+I 2 R h h + ---- ***-) W . A2.2) For Flanes c & D, HnN = (o ) (I2 W2+1W3+I ( H 3 1 W) (A23) For Planes E & F, HB( = (O ) (I3 W

  1. 7+IS W3+Ik h+I?

8 H i [

ll i. FISIIElt CONTJtOJ.S CO.T!!%NY Cox rurxrAt. Ihvistox SEISMIC ANALISIS Page 12 PIANES A. C. E. AND 0 (Cont'd.) e (13) Tensile load per bolt (Due to actuator force) Bending moment due to actuator force S r752 6) (o.5N) l + ry + 1 6 (K) = (F ) (K) i H ere W in= moment due to actuator torque" A = distance from centerline of actuator to plane being analyzed K = FA =' force exertied by actuator (A31) For Planes A & B, above bending moment = (F ) (I ) A 8 (13.2) For Planes C & D, above bending moment = (F ) (I - length of first component', A 6 For Planes E & F, above bending moment = (F ) (I8 - length of first and secont O (13 3) A camponents) (A3.14) For Planes 0, above bending moment = (F ) (Ig - length of first,)second, and A thirti components 2 l' b- ) (N) H ere: (Ala) Bolt area, Ab = 0 785 (D n 4 = bolt diameter threads per inch n = T***1 1**d (A1) + (A2) + (A3) (A5) Then total tensile stress, St= = Bolt area CALCUIATE SEEAR STRESSES: The total shear stress will be found by combining Some forces all forces causing shear stresses, then dividing by the bolt area. act in direct shear and others in torsion. ~ O e e j

FISIIElt CO. rltOI.S C(Bil%NY V Co. rixx.vr.u. Dmstox v Page 13 SEISMIC ANALISIS PLANES A, C. E.AND G (Cont'd.) 2 = M W) (0,+1)2 +g (A6) Direct shear force due to seismic loading, Fj W = total weight of components supported by plane being analyzed m ere-2 j+W+W+W+V7+W) (Oy + 1)2+OH (16.1) For Planes A & B, Fj = (W 2 3 4 8 (16.2) For Planes C & D, Fj = (W2+W3+Ik+W7+W) (Oy + 1) +% 8

  1. w
  • w8)

(G, + 1 )2 + O (A6.3) For Planes E & F, F = (W3+Wh 7 H j Note: Seismic factors are added vectorial 1y for direct shear (EL = effective-lever length) (A7) Shear force due to actuator, F2= EL The VfR, " Valve torque required", also called " actuator torque", is a O function of construction materials, shaft size, valve size, disc inter-ference and pressure drop; and this value is calculated using proprietary methods. (AB) hear force due to torsional romants, F3 = Tots 1 torsional moment _ 0 5 BC VfR + (0,+1)(W Zj + W Z + W Z + W 2h+ W Z + W6 8) i 22 33 h 7 i For Planes A & B, F3= 0 5 BC H (W I + W T + W Y + W Tg+ W 7 + WgTg) G 11 22 33 h 77 o.5 BC 4 For Plane C & D, F3 = Same as above fomula, except delete the tems cont =%ing Wj For Plane E & F, F3 = Same as above fomula, except delete the tems containing W and j (T ) + (3) h ere Bolt circle diameter, BC = 6 6 total shear force (A6)+(A7)+(A8) (19) Then total shear stress, S, = total bolt area (Ah)- e e ,y --a ,e m... ,e,,., -,.,,, ,e ,n.. -. -.,, - ~.. - -

FisitEn CONTROLS Co.rlwNY s Courixar.u. Ilmsiox SEIBMIC ANtJ,73IS Page 1h PIANES A C E. AND G (Cont'd.) ..CALCUIATE THE COMBINED STRESS VALUES (ANSWERS): (A10) Use the " Principal Stress Formulas" 2 2 2 [/ +88 Note: These ansvers are on Sn max = + \\2 the computer printout under, 2 " Stress Sumary." The yield 2 2 stresses in both tension and 8 8 8 t t + s shear are also given for com-S, min. Parison. 2 2 8 max - S min n n i S, max = 2 4 See formula (15) for the value of Sg See formula (19) for the value of 3, O i b i A b 4 l R n..

FISIIElt CONTitOIS COMi%NY Corraxnvrai, Divisso.s f SEISMIC ANALYSIS Page15 PLANES B. D. AND F 'khese are the most severely loaded cross sections of the first three brackets and are subjected to both tensile and shear stresses. For all practical pur- ) l poses, we can consider the loading at Plana B to be equal to thct. at Plane A, the load at Plane D to be equal to that at Phne C, and the load at Plane F to be equal to that at Plane E. j Again, only the total tensile and shear stresses are given on the computer j f printout sheet. The fomulas for the step by step calculations leading to the above values, idiich are performed within the computer pmgram, will now be I listed and explained. (Definition of symbols on pages 6 thmugh 9 ). 4 I i CALCULATE TENSILE SfRESS13: The same loadings that cause tensile stresses on Planes B, D, and F also act on Planes A, C, E, and G. The explanation given for the latter four planes also applies here. The total tensile stress, Sg, listed on the computer printout, is a susmation of three individual tensile stresses caused by the vertical and horisontal ), bending moments and the actuator force. } j Moment TSN (B1) Tensile stress due to vertical bending moment = Section Modulus E, The TSH is calculated using formulaa A1.1, A1.2, or 113 as outlined on page 11. Note: The section modulus, which depends on the configuration of the cass-sectional area, must be calculated for each plane analyzed. l

O j

t t

FISIIEit CONTitOI.S COSIl%NY cowrsxrxtn. nsvsssos ' SEISMIC ANALYSIS Page 16 PLANES B. D. AND F (Cont'd.) REM (B2) Tensile stress due to horizontal bending moment = ITY The HBM is calculated using formulas A2.1, A2.2, or A2 3 as outlined on page 11., See " Note" under (B1) above (concerning section modulus). (Actuatorforce)(K) (F ) (K) A (B3) Tensile stress'due to actuator forco = I 2, ss 3 i I = distance from actuator centerline to plane being analyzed. See Kformulas A31, A3 2, A3 3, and A3.la idiich include values of K for each i plane. l = (BI) + (B2) + (B3) (Bls) Then total tensile stress, Sg I 1 l CAICULATE SIEAR STRISSES: The same loadings that cause shear stresses on Planes j B, D, and F also act on Planes A, C, E, and G. The total shear stress, 3,, listed on the oosputer printout, is a saunation of I individual shear stresses caused by the vertical and horisontal seismic inertial l l j loadings, and the actuator output. Fone (BS) Shear stress due to direct seismic shear forces = Area of Section 1, i The force and area will vary, depending on the plane being analyzed. For values of " force", see fozwulas A6.1, A6.2, and A6 3 on page 13. Total torsional meinent (B6) Sicar stress due to torsional moments = (R)(AreaofSection) Itiere "R" is the effective radius (See " Definitions of Yariables") i f The " total torsional moment" varios with the plane being analysed and is covend in detail by formula (A8) on page 13. (35)+(36) i' (37) Total shear stress, S. = v, - - ~.,, - --.n -,,,-,--,-.,-,,-n --,-------..,---,-,,e-m,---wn,, ,-vn,.w--- r--- ~< - -,, -,ww. ,,.m%+,

FISIIElt CONTitOIS COMi%NY canxv.v. r.u. nmsiox SEISMIC ANALYSIS Page 17 PLANES B, D. AND F (Cont'd.) I jib 8) CALCUTATE THE CCHBINED STRESS VALUES: (ANSWERS) Use the same " Principal Stress Fomulas" as given under (110) on page 1h. See fomula (Bh) for the value of Sg See formula (B7) for the value of Ss 4 l f t I I D i I J i O D --e--

FIsilitit CONTROI.S CO.TIl%NY Corrixexras. Divisios SEISMIC ANALYSIS Page 18 CALCULATE THE NATURAL FREQUENCY OF VIBRATION /These calculations are based on the following assumptions: (1) The valve body is firmly clamped and unable to move relative to the pipeline. (2) The extended parts of the assembly are cantilevered from the valve body and act as a mass at the end of a cantilever beam. The cantilever beam has a uniform cross section equal to the section with the least moment of inertia. Thus, the value calculated is lower than the actual natural frequency. ] (3) Damping effechs are not large enough to significantly alter the natural frequency. 4 1 The spring constant, K, and the natural frequency, F, are calculated using N the following formulas: 3 I Where: K = I) Modulus of elasticity E = 1 K (g) Moment of inertia I = FN" (Cycles per second) 2r W Iength of cantilever, in. L = g Acceleration due to gravity, = 2 in/sec Weight, Ib. W = o 6 4

g..- FISIJEIt CONTitOI.S COMi%NY CoxTINENTAs. Days. rox s Page 19 O'V CD72-23h SEISHIo ANALYSIS g CALCULATE THE !!ATURAL FREQUElh",Y OF VIBRATIOl{ (cont'd.) u *- OPPOSITE END POWER ACTUATOR END Item 01 - Oh 05-08, 11, 12 09, 1 0 01 - Oh 05-08, 11,12 0 ? E 30 x 10 I. 3h.6 3h.6 1.216 87.h 87.h .L .Ih.72 12 38 7 75 15 12 13 02 6 6 3 56h x 10 6 6 2.276 x 10 E o.976 x 10 3,6h x 106 0.235 x 10 g 3M W h73-h02-269 266 217 l-l 1h2 200 92 289 h00 FN 4 - These calculations demonstrate that the extended parts of the valves have a natural frequency of vibration greater than 50 cps, thus meeting the customer's specifications. 4 e e 4 9 i ~ -'we

.--n

FISIIElf CONTItOI,S COMi%NY Cm nnxras. Omsros SEISMIC ANALYSIS Page 20 CD 72-23h

SUMMARY

AND CONCLUSIONS Based on the calculations shown in this report, we have demonstrated that the primary steady state stresses, when combined with the inertial loading re-sulting from the response to a Eround acceleration'of 0.28 g. actinE in the vertical.and 0.62 g. acting in the horizontal planes simultaneously, produce combined stresses which do not exceed 75 % of the minimum yield strength of the material.as stated in the customer specificatims. Also, calculations verify that the extended' parts of each valve assembly have a natural frequency of vibration greater than 50 cycles per second. ~ In summary, this seismic analysis proves mathematically that the equipment supplied by Fisher Controls Company is capable of performing all functions intended within the Stone & Webster Engineering Corporation specifications. 9 T 4 9 s. L e

FISIIElt CONTI(OI.S COMI%NY coxTaxrxr.u. Ihvs.ssox h SEISMIC ANALEIS Page 21 i REFERDICES: " Elements of Strength of Materials" Fifth Edition By: Timoshenko and Young " Design of Machine Members" Fourth Edition ~ ~ By: Doughtie and Vallance' '~ " - ~ ~ ~ ~ "Desien of Machine Elements" By: Faires ASME Boiler and Pressure Vessel Code-Section III " Rules for Construction of Nuclear Power Plant Connonents" 1971 " Mechanical Engineers' Handbook" Seventh Liition By: Marks-SAE Handbook, 1969 Edition t N . (, s h .e.-+.*m . assee.. amam> w. 1 m. e- .e e. .e P 8% e a G 0 O. j F .w-~..,,

s e.-- PA& h-FisIIIcit CONTitOIS COMi%NY CONTINFNTAI, I hvi.910N l O 4

  • O 4

e I e O APPENDII A G G 0 f i i

f""*%, ,m s / ...t i l . n* I ~ 4' '[ --- l w l \\ ~ s .f.... - C v <.,.._.=__ l.... c n t lrge rs. l m>. nog lrd .'rm"r,

errems, amea eso seremes mmra o

sex,2 me, =nca rat es. e.ne se. ..,e,,,.a. ... 3su. s,s. rt. tn., 3,, 7 5,., n .2.,.or . s. c.e... t l.s,rts. __ An -f r_s.y u..,, .. m s is i u-rv.m. m t. n. r.uus _ a n ,,-,3 ,,, m, r. 6. Ap..n .r.. ee ry.s y, e.t %, n n xm s es so t e.is s.u re, I rs 6 .-s,3 sev. 3 rt, m g y ..e y e w -a s*e.e.t.71-)16 SIT 7' 9 y 1 e erneyre ett/' s?rgs r.13537 94 g 'str ew.sern yttrt, Pt. Ir.t y.t s e t o w m v., m--, e. r e.im s n i sn se,. sum s-s e.te-o 5, e et,w vm mus Nriet b.v.s, 4 9 5'; ft Fv. rt *t. rt, f.Itit9 ), a CGiri4*O aft?. se's?t #699 8 1711s is a C%rtr.s ts 34?t itte in.ti,ste I ? 9 hrT M fg"P-"M r r**1 F.3941{ 11 P9(Burt) .ti29 s TYt e.3 9Att 9 f at grunrefrF att.9r STTIL 8P tys, g 11,- s ar-s n. i,3 e, ,35:6, w i s._ ties sa?t r.is i.use, es t are erv. auer_ mrt attens AL

r--

i.e. e tu, r C.ejni_ .jf i s*-:=$ er= smyt t-nm si i mesm artt. m-t p+ 6=.t ic .l g d 2L gm.=r rs==

  • es. r-+v s.t c e t

_J4 L st'M s.tt sitrt tipt es a m (sucut atier sters f e.i wie ej i, i 1gcarr =e out a-v s.i tits 39 3 smrse e o smt-L s ttett g3 a mesms sr**. areerr ir.e4 L P k, i, s e.-s m..- s in. eyte e.is sh_ is 1 ocase o swe.rt imt. t'4 re f.tret at t ets, trees [ sert sue s.ita = 1 ' we [ g1er. srs T-se serwit aus e.n*9s AL.gepan v'* sert tre Svv.t f et a ss=rwe m isn r 1 s.i nst e .~24"'I' 11op g sces . =t sa 964 ee e.fi t o ts i t*prea-m eTet s/s's are e.rtsse __ en t senres matt tr-r L

s. je.t _

'sirtes r>-ti r J is te vr. o.c.,es. . tut : rvt e.iwi.e si i sts etet er 's, seset siero es. m

r. ira? _

s, i s et e ets i D 16 1 rs e us 1 F. '. f.unf 6' 6

  • C# '., stv.
trt. et.

a.iwise as

  1. Isrt av.

Isrier arcrt W.turs at,1 re i v. t. v. e-t rnt_,,.R 1 e 'ta'e "r's 8'e '-rs 1 omerca s==rt 'smt 174 re 's.t ra s AA sw !rrt s:m s.ieu L}'s. t sv

  • tuer 5-*. si a*5

' 1r*54 -I vo i erar te not

sms ena Atr se

'ca m t sto' = trr:4 n i wiw m I,u.s :-r t i.i m 2L{v< s e.. v. l..,, s us e.ims I t< as a se, ru .uce n rrt e.asue n t s er.s.. tmrt,iero es rt m.1,.,, t.i n i, 3 e ve es nr w. .a, sms. AL .==,T-a s =, r-s m r, s.n,vs u 6 o as ***. 1"*t. m 8-17t'h 's b serv.,su. Imrt. rt,

b. m a

,,,g,, u 6 .o es se,. r"st, m

  • nats t

i rewm e.6 Iset ry r h.nus ~ AAw - -- re_ epi-r-. t.ge n y a riv... .tm s rrt e.tisas at e ters. e r-t, m r.t wir ,s i arv yo sev. tr-rs. vt. h.ims 4 1 tre-ms eve s t-1 r.mn y a m rssu. rett. m r m, is a tere,e=tw frert. m b.t ru s f le e sa to es. sv ie.tno glers m ,res, rt.

r. tim n

n urr,e te s-rqrt. r-iwis tr se eum me e . e. y .. nr Ir--rt aim

e. ime n

s e. vrt tr.s.1 s r-L r.:n

r. met to to m c3er. r x e we sa i.6 es.t M.,,

I' cc. - BD AN Ag t c 3 ,3 75 64 59 i 55 :: TO gg d-- g ( 6 67 73 S t. 56 13 e o 5 y 4e 6 9 ' (E)s 27 65 45 40 Y % '. gBf ) . h ~ ~ u> ~ ~ '~ m7 _.b \\

  • y u

_i M L*y {, ) w' o_ 3 + m NT N. g kh \\ I l \\\\\\ \\ hy g sl y ( l h) ] 63 u 6 e Y{ 7 43 47 9 70 76 61 P 57 3 8 9 N '.4 w iz A Q i g.- J cunas sectiemat twtas J 5 g.- e... e a,.o C 7 7e TTT11 r 1 r r 11 ata ervsrt ris aise watet w/ srms in-st acTsaran M8?lo 4 \\. g ~= a

  • a e ars unzraics: urn:v/ sren traa q

p.nvws I j s.et=& s. er.trieQ i a .P I.O *( O.s.t.C..O N T.st O.t a.C. O.M..es A..N Y. F-3 912 I S j t gg ,q 4,e,,q e tog so, st.uf.t&& ...e...s. go.. ..ee.e...... -.ie l== e as

==* .=.

'

) e s ] i . I

M s e g er i g a g y I f. I I - t a I to O 58 8 .O O e m.O + . m.O f

  • I

,N = I =

  • W l

l t. 4 (- g 2L. i ] l = l i l I I I .j

D

.O ~ l lh O O e. O h O y l -l p N t t i l 1 8 t g g e f l e l i i e 3 e t 5 8 l 3 6 l g O ,O 8 I ,o O ? .O em O I ? m.O . d M, c h m O l g ( { O e g ^ 'M e

  • M N

I 3 e I -6 ll 3 M ; i e l e l i. -l g I t j i a ,t i t i' t j r a

  • O e

Ch. O 'a iO ! t

O M

~ l l I vs

  • N O

F1 > O g s O

  • 4 N I

e MO ert h en W h O A N to 4 g M e .N 3 e4 a f ' H j *4 .e s e4 H M M i I t ( l. e* 1 s. g I . 4 I e i i .a i i l 8 [ l 3 h O g .h h O I g M O l M M I 8 .O O O O O em i f t O O O O O

    • O 4 ^O 4 O J

O 4 O s G,'.. I 3 55 1 .M t * ,N a.n t i *

  • 4 W

( 4 e a O 4 O d s g l M e h i l i . m i 8

  • O O

.O O ,O 4

  • E O

.O O O O M M O M O M - o M O M O )M 'O 6 3 H = a em ' y .N 6 f. l l. O a M 1 I F1 a 4 N e4 g I g i j t n n e O .h 'h O O O 80 I s I' N g M O N e N / l W e e d N ert N e4 2 N En N O ta @ so e U . N ' M e

  • De N

3 8M M ,4 e e e e . pq l N I 4 . Ns I p I g N I e e 3. M 4 4 g N e .2 et ' I M e a M f N e

  • J IO O

'O O +4 O U M 'e O O O + ED M t M M O H N > N M 9 4 M'O M'O I De N e u w j

  • 3 j >*

M M + m. w a 4 9 I H u e 4-t I e4 en e e ** >i i

  • N t

a a l t l j a I. l I l l l i i i i t i i i I

l. '.

i i l .i, i i i -l i. 1 { O o o 0. O o o o o o 0. o o o o O f i I I e A

.-[ s g. j o o i o o E GS e O. o. l i N s -e g i x \\ .i s e e i j o e o 1 o e o f I 5 e-o m o + 1' De e N j .t 6 3 g 1 ? g s 1 s .I a, x n l t. g m a as n 8 6 -t s l j s-i t i, i e e e o 8 o. o. o o o ED e o . EG o l o. of 9 b e 3.. i 4 M. n x e t e n so e c. e i 9 .6 .t. .> e l t e l g i .I.i i i. i i e 8 I o o e e a o e o o o o a m. o-o e o h n .

  • o e e e a

..* o a n .w n 5 .M W

  • N

.3 4 se e ce i .4 e- .4 l se .4 ,e M 1 .i .m 5 w l . *..i 8.J e s o m b o e u o a m o o o n o. o o i o e o o o o se .e e o. o. e o. o. i. .e o. .:n .s N x. p >.o 6 n e N a o i e i e.4 3 t ,e t a n + e d 8 ,y e 6 a m k I- ,s. .e o o t. l o o 9 1 . o o ! o o e a e. n n o. n o. n o. n o. e. x e p e N 3 2: .e s M w n a r. H e c 4 e 5 m t 6 i w s. l M n I i a n N P-8 o o a., W ; as n -o n e4 n N e4 N e No IS e em .i 'e O e 3 M 6* pe N n e g 44 M M e4 N O p t N l ad e e =C e e I l i a 8-x n n i a i M l 8 ..u I n W s a o o o .o e4 f3 pe o O o + 80 M L.P st 85 - sal O e4 o,

  • 4 N

> N M i a .4 o a.4 M e H e pe e H e 3 e u e n.n M M ad .rg o si >= s na .e u en = i i> i = n { 1 t. i .i 1 i i, i l i r. t t i -j ]. I I l 8 i .i i - i i O 7 O .O .O O O n O O O O O O O-0 O o o o f I, l l t I

? p .g f g e l i O .O f O O { 8 W 'O W D. ?. l H >g. i s I r 'e e i 'sl i. l l'l i~ \\s g e i l l i i 3 i. ' i l I-t. i 4 i l' l 9 lO O 8 t s r .O O I + .h O h O. e g j [ t 1 H N y e I 0 - g. I 8 e g g e g 'I 6 a l 8 g 8 .I f I ,i l e l 8 i .i s f ,e e a g I O IN j N IO 'h I 8 e O t O, .O. O e i.

. 'O

.M O. l 3 .M l e -:B i e l

t a

l 4 i j. l j i 8 -6 i I {'.. j g t I g i i ..8 I. e 8 g .g .3 - a 3 i j t I 1 l l' g l e i t 8 f i O O O e c. O l"l O .g g 3 M k. O , '} n'nf p%. = n O O 8 N. st M 0% JD t-e e 8%. O. ert o O. i n i M 4. -e n N u i. t [ i -N i i

<=

I

  • t

..s g i-r t. l-e i.e O +

  • 8 O

3 i 1 l 3 ( e -j e M r% lO 10 O O O 3 i. n s O O O O O 4 w O

  • 4 0

. at ' O

  • W D

at O. 3 e N* M N s 3 i i I { d n a a s n I ? 4 { - 4 l a n 8 g e i sg n 3 t i a m e u a b e J: 1 e g e f e e 3 e e4 .O f IO O e O

  • O
  • O e

O O O l t O , M O 'M O M O M O , M e 3"

  • fi O

H

  • *i 4

-l

  • H e
  • B e

H e O N 3 M De O a n. t i. .M a .N n. l 6 'o s .i i i= i s 3 g i i 4 I i f* I l e. g s I. # M e t t n e, i N

n

's O O e f*l j . @rt gS M O N t#l ,a N e4 N On N O 31 ne N n e M e >e H 3 O lM 'M 4 N e N e e e 8 H N e e M en I em e 4 e O e l yn n t-n g u g. o lo - t 1 .- i a e N i .a .O O 10 .4 O t s U ? m .O .O 'O

O

+ Ee M N. m e +4 4 e4 a *4 O. 0 .i . O. e.4 O. set e M

n o

i. .M .M w ,4 e t i ad e O e4 .e .l. '4 to u w M De 8 I M M m y g g I l,. l' .e l i. t ]- e.*- i l l e .t j i e. \\ e l.

1.. -

l t c p! i!

1..-

L i t i \\. .'? O*O e O 'O O O O O-0 0 O O' O O O O O O l i a' e o

M :- J l e i ,t t i

  • o O

i

  • I

.l f o O e i t 1 g e,O .e O l j s H l g .M.* g l l i. t i g = 8 9 a l l 6 e l 5 e. i e I v'* t a 1 t l - 1' i t l t b

  • o I

t '[ O 4 O .O 4 g l j

  • e.

.O e* O e g N .H si l ? 4 ~ I 4 e I 8 [. j e i l .t .l i g e l t 8 I v i

  • t i

I j e 8 e s i

o i I

i o ,o I 4O l 'O O n. g 1 p. n. . :se - O. I e 4 ... e .*,o g u.. . g o.. ,N g t { I a J l t g l 0 t e l i. 4 + 2 g i g i 1 8 { I I I *- I i t j ? e m o s I o' 'o 5 'O .O t 'g > o n n 8 r .,. o i e N si -s e e= c ** ~ 'O e j4 d, M : o, p,. H 3

  • 9 4
n l

8 4 W-e l 8 I t ' y, g i g* 4 I r I I g e. o l d I { > o I es o 9 m W I \\o '. o o oa 'o I l o o 'o s O i, * $.. .p i O. . d.' O. O

4 w., O.

8 3 g-N j

M 9 t

..g 6 s j. a i,-, r .c. N i s 4 7 g n j l 4 e e t I 4 8 d

  • 4 t

t a g I . A. t l eO 'o

o O

l i y t.o i g 8 n :8 -8, a a n i. - i m w j o .o a

  • i n

-u l l m . n.. i i 4-1. I i. i l . ~

1..

i -O o

c. o i..

. ~ .y .~t ~,. ~ ;* ,~ !Q

l p.

.~ i- .~ a. t .i ~. . - o. ~ i x - gs. r. ~ .i i i e = = i \\' O l t 8 I O - p. O M .J IO lo o' + eo I -p 4 o g, ,o ,q g:o j 0 a , c. .o g w 3..:.- .?

i. -

i o 1

=

4 .i l l i g r- - t i I ,t .i 1 d --!,I I t i i i t-t.' !. i... ~ i i ,t i i i 8 i i

i a

1 i o 0 0 0 .o. o o o o O O O-0 0 O 0, .O o o o C 4 p

M.a N I-4 i 9 g s i g f. l O O O O g + i .eO eO g b f [ . gV l { l \\ a s l s + o t g e s .i 8 O O

  • 4 g

O - O I 4 8 h O h O l p e N e I l t i e t 1 l-I g a f g g a I t

  • n 6

i e 8

  • m e

a i e 3 '* 3 as

  • _s i

e l N 'I I -.j e e O 'O ee O O O = w i

4 l Ih.e n

'3 o 3 .h 8D O O

i..

,8 O. e

  • .M e

at

  • ao g t

.E 8 6 a w I t I e + e n : > w .I ~ f l ," i c e I a e a g j 1 1.( l ? + t l i j j i + + 4 ,.>.O e t t O O e O i g. O e. O O W p. O O at O ert g D. W h O e et e o a

    • h O

eO .*H 3 e

4.'

tra e , se .M i*

  • N f.B e

ee O =

  • ?

e4 e4 se e N et u ? l l n

  • f

? . 4a

3.. '

l 8 1 a. l 6 '6 O .' k h O 8 e 6 j Wu O e t, s. ( .e lO O 1 O 1 O e O O n 3 O O O =1 O .' M O 4 O O 1 4 O 4 0 .e.O a 3 e to M e De e N e > O 4 I .,.. i ~ e. n ^ N 6 s t / I g 5 k M k I l 4

  • A g
  • g g

i e M I, 8 'O O n j O -O e4 O O 4 O e O } . nO M O t M O M O u ers w >

  • . E

+ u M .e

  • De e

H e 3 e M e a r. l e N N l H o g e .H e.. m en. e 1 - ; i 4 u e e n e .O h .e - O O g e4 9 e4 O e O ra e W N 4 N e4 N at N O 'S

  • O vb N

88 .N -*4 W ' O e n N e De -e N 8

  • ,4 e4 g

H N ad e h 4 eW .I g .4 WB e4 t O 8 ts M, D H 8 t e M ) Se e 8 O 6 O O O e4 O M O O O O O + W. M u e4 e e4 O e4 O* .4 O > N 8 tal e 3 e U .H .4 M e . De .e

  • s

'e 'e4 as e e4 O ad as p ue as l g g-I- M

  • b e4 a.

6 >. I t 8 l 1 e a a _. e i + l i l r i + i i 9 .t 8, e l l. .e I l l t I 9O - .] i I i l- .j O O O O O O' O O O O O O O O O O O,O O f 1

l e 4 s .g 4 l t t l o o= g ? 1 3 ?.

  • o o

I e l i e u < o. .e

o. t s

p 3 O l f i 3 a 4 i e s e q t t i

{

i \\ 't' p a e .\\ 4 i-t I i l t. I 1 . o e s I'

  • g'
  • o e.

e o o ) t-8 . l e o. ~ o H + .N j g.. i 8 i .e 4 i e i. e 1 i e i l j l t i i i j [ f l l t I s I i 9 o o,. .o ,o 4 i o .o. g o

e o a

I ., t; o. ... n. 4 w .i w p ;. i ' o, t 3 a e -e ? 4 r i .i a 4 4 . _ I ,i l. t t j i 4 I i i e t s f i l '~ l-E e

o o

o o e o a n - m ~ n a. ." i a .~,o e- .u H + p-H l n i u e t e i l -Q l i r, o. o 4 ,.a >.. o ghe t e. g,o .o l = 6

  • o o

o a o o. ,,. ' o - 4 o 2 oo o o o a t 4 o _a. a 4_ ..= 2 M n 4 t .t v l i 1 s n. t .o i i 3 u ., ~ g io .o o eo ro 8 o;g* . m. 2 8. - in.8 . >e. 8 = g p 1 H + 4 w -. a n n- ~ s .o s i. i i ~ o o 4 s e o n e " t ..a. e< .e N o u** m N O n g..,5 p ,.e .4 -e i N g s l

i. 4

( 0 i .e e ~ 1 i h m n I i + g B e o i, X wi J E A t g r g l ?. m .u wi n o o a : o M lo 'oi

  • 8 -

o io o + = m H $. g o. .N. O. '. ,a l ll 4 O -H o, D N M l M, 2 e . =< t .a o e i w () i 1 i l . (-).- l i. .... I 3, I i e i ? I I . t, [ a -l t ) l 1 l .' i I - 'l i e i t l G O O O .O O 'O O O O O! O O O O O D O O O i e i 9 . g..

FISIIER CONTROIS Co.sitwNy Cownsucer.u. Davssuas 9 0 4 e APPENDIX B i l 4 I -.m.__

sm ,, r -- ,~ -l ., -.. l __[ ) .r o 9 \\ / 4 I.... __ _ _,,i,,, i n n L \\ w. ,,s. .m.ry .sr,m. ,1c., , a. l i ~i ., s. rs,. ,a7,7 =r T t.,., ,....,e,. nm. n. ,.mm ir T mnm, - 6m "" ~~- n. .r,,,,..,. -~, m n..t. n. ,.m u n, ,,s.n, ..i.rc {.* 11

war,

.s, a gn.r.*,9 s.une r, t emet rwi n. inm nie s.u ns 5, 6 ar.: =3., w. ..=.,t. r.un, n e e.-., a ss.,-Myt. ,.mf, 33 ) ..T tme%,, aLidi sfG l)Tf t 4 t erfr ?r ts n,T.,L p.1 %,, . E j r i

me.t,.a se,

,-t ever ,.i*t t i 31 -t :.. sat, setn o istis Y E etxt r-,e coti.r serrt ,.t use g In, e e ,, sr. I s--.t. ev. ..n t 6e 3r i es.-,s.so e.-r. snr: t nie o.asin emete o,3. s/=t rt nn ,.u r, e n e-.3r,-t m. t's,rn ,.t a?++ n i rn roteres sein s:~1 e.inirs

avvow, atter sen

..t.,,i e 6 r--s .t1 na it s.o. r.nr6s ,g i ,7. 3np3 t7ft, sn,r-t e6te

e. t.o ',

ao t srv see, atte, s'ers s.io rs _ ,e 9 88' 81 n C". 88 E*) ,*1 ? Til ?f f s,' r 1, U' s/,*8!% .-l u '8 41 E*'7T,"- EM mie SP e 9 h '-t r?P ..s. s.'r* rs e is e r=ws sciews s.t s*s s 36 i s,et s a.11 s-tri s-t r'n s ,rw (stxo atlet utn o.t tm y a. n.g, c*.*r P w e.,rth t enus,tB sit 1% a t3H) gj t pt,.13act"s 11vTs s/s%, hit 0 6707, = s.,',,,,, L ..,s.. m-n.,,. ,.im, ,,1.y,,, t., ,,.m ...s., s ,,,,m mm_ .u. m,m,n. ..n m ,,,...,,,s. ...,,,,m ,,t is t e,.n,.e sta's a~e sa sta e,e ,.7m1 ts i pm.rw stat smt.,n e m's 34_1 gyaco ,"-t ,., n n _M EE nj.*sm, a J o,,-ra ..m** u i seits_ent s an. s,rt. n-,e es. n. s.uan e, a mit ses. atur,,m ureL I h,., bea g is a< r-s er ) s... v. s.une g, g ,,f g., se,. s,m. ,t. a.taa o i rt._=2,pg,*A,7 17 4,9 (.D .a H %( D g i, n . u,, s.

e. :'es t,

6 sm-e,urs srt.1. siers ..t ras, a, t artart ji fu,t sistt,3 a e-t oass 2,,1 m .--1,, ..no, u s..:rs um,i.. ,.u m i par.. mn.,,. m,3 -...,s,.. .:u, so ... ie. = ' u u-s n,=, = s u'.s'. m,,,,.'. n i mu tat -. an aar. <>. n. -u. ', m. .un rm mt, .s t .m,1-t ,.u um.n. im n i -.,,m.n. n. e.s i..u m t, s,-1. n. me. i ,,,,.,1,. ,-m. n. ,. m., sm. .um m i..m y i o. . m. sr-t. n. ..um t ,.,.u, n .t., .--s ..m.. L, 1,. .,, s s,m. n. ,.em 5 i m m.,. mmum ..,s n _ 2_ut..,, c. ,-.s ..i.,., e, t ..3.,,.,. s,- t..t. ..m;. r, ,u,,, s n m ... s. m... n ..u.s. 21 rv -- , - s. s. ,-i~<. 21

w. ~. >.e, sa.

,-i u-er o =

r. 'n

-s s. m e,. t > - > =. t .,n s-,,.,. .. n n. , r t.,,., ,.3 .3 f + h* ep6Q -(p Oh@ Q h O c CC-+ '1 a m 0 P S

  • s6 0

0 O@ ce

ME-O '@

,s x 72 j g o 9 / s3 N 1 / / ~ 1 2:h 3 0 Pf__i O, O' @7.qI_M/// B O / 1, y f. o } f / O W;i. ? gE (W,L J ' 5.. 2--Qh '-3 h._ , Q.fl h W_ .g@ __M'e - +- hw.y 'ybQ Q 1 .t_ Q:\\ \\r-qq yL/1 1\\q 4-o.. (__ tT)\\ q \\ I lli P. \\ o d ss\\ \\ f@ 'f4 y I b_\\ \\ \\ ,e I o 'o - 4y g s, 7., si 3, o 4 N m 4 69 60 3 e 9 o o - g%g - = O @ z,M 6 3' 7 o o 29 ,3 e ,.,6,%:(. ,.sWAtt (*, h*[ Cze:.s s,a"T*etas Jtattus./st"ns 1J22 acts.F:n .=. s.eto a 3,,17Wf IA'IIIIII'I seg s., a,.3 node so or 27 Trs am ed 8 f.s a nac.1;a T.e s nas. 3ana , ass LImrahaa atsc sys,.m eras s ff,, l~4,, P. 9L4 4 v l s.7n.MIM 7 967'At t sat s t a.e ta a.e . 3,.1% 85 e n. o n,i 13 .Pt.a De a.s.t.C..O N T M.O.L S.C. O.M..P A. N YF.39 I l 9 8 av-ur nm.mts m

g.

O -

g r e 1 .I O e O O O '8 g' M* O -G ' e4 O. e i ,e + r g l [\\ i j [ ). i -_./! l i j '.i i I O O r 3 6 o, o h O h O g >t* .!N 3, 9 f e-t. l t e p 3, t" 8 .i 3 i i i e 6 I I O I, 8 O O t O leN. t O n O O t e eO e e eO eO 'N 3 * .H M ge I e m N 1 i I l g j t l. i : i i i 1. 4 e i, t l g I' I I i .u l c i i i I. O I n O = O e A. O 4 eJ O e P= 0 O N

  • O e.

n o. D. o e. e N. W

>e, e.

. n O. 3 n M H n g i e4 N t .3 . L i e 3 i l r r; - O 8 O .s t g o h M N . N O O O O O n O O O O O

  • v4.

4 O 4 O 4 O 4 O

  • J O

8

  • 8 M

e e e H e s e e.4 e ,4 t 6 n. 'M e w-M 'f e g .a I t eN

h m e e

g I* I l 'n 8 O O O O O O O O O O

  • 3' M O nO nO d O M-N n O.

a N l' e 'l N .M 3

  • H e

h H w l >-n 5 n H r l O an w a 1 8 s f ,1 .I n

j. ;

) e .t n. t w e .M P* h O O 3 # e M O N i e 8"I 4 N O N ed N N O JS e 93 i-N 3 e O e 8"5 M. M n n e n + 1 e4 .it .i n + 4 6 + p g N W N h a 4 e O 8' r n e A g M M

  • R.

+ tt 48 t I p l 9 m.

  • M

. I e4 O O O O +4 O l 4 m O O O + M +4 0.

  • 4 e

> N M M 4

  • 4 n-

. e4 O O

W n

- De e

N U

N M e In4

  • t e

.4 m h n a n e. a e M. e ' h t ..i t N i i I e j ,s l s i j.- i g t-i i v. t. i I l 'h ';l l l l '. I-: j g i 9 O O O O.'O O' O O O O O -O O O 7 O 0-0- O 8 s

s .O g e t i 'I i t.. ' o* t e .o l o O 'e t - e. o., en. o. ' .* - i j (D -l ~[ l t i i i I I I l f f , - ( .f f '[' ? t' 1 i = i i i I + jo' i. l .o. f r I, t %,o. eo 3 -e

i i

i. O. . m...i. o r t i 1 .} 1 s

t. -

t, s t I 3 t ..g 8 N s s I a l l r j o. I 6 u.n .r, s, -g f s t-6 i t ] .O .O w o .f em 'o t

  • e.o i

4 o, e e.H e o I e *e

3 g

g e - at = s .M I. g .e em. M e 4 s,*.. ; -n s e .e l l g - l. e } "y n. l

e?

8 g L .t .t g l e 4

m,

} l t j-t i 8 ,i i g j. a i a p g M j l t l I im 4 1 o* O O. ~ %: ,o o 81. O 8 o mO mn o N i m. O . x l a. uf. n. . n O. e 4 - e. O E' b '4 m e ,p. i. =

n.

. s a i i r ,- j g ? I g = O } }.

  • O 3

1 l I i '. i a f I' W D

  • N I

g 6 t M O o O O o .;O f't - e4

  • O f

O O O O e'o e*o e.o' 6.t o e ' o., ,e' a (

  • 8 M
M

,3 e e a ( 'e 1 y ers i c .w 6, 6 O l w. e e ' e f i 1 I ) .e w e l a w i l g a W e tb e a M [ t e s e i .r . ' =

  • 4
  • O O

O e 1. i O O O O 'n j lo e p 8 I m M n n n M N 8 = ins , e, a' g, o,.,.n O, o. o, an ' n. ,p, y 3,, g . o ta e.e - n es e n I g g i i .N w t O t 4 e4 t e 3 t i 1 4 l . t. 8 s l M e a ers N . h f* .O O (1 M I e ao n O N e N*O N '4 N af N O J8 e

  • M i

n M e H N ~

  • O

.J . M 1 N .M M.4 .e 4-P1 e tN- 'g l 3 .g ric O + "u 8 . n a N j. .O I

    • en n

.M. 0 W 'M j 04 .4 o O O O' H 'O U m O O -e4 e N M O + es m tal e4 . e4 O e4 em. o# t

  • 1 e

N e M e N 3 O &al o at ' o e +4 M. N a n i

=

n j i~' j i - t e i i j 8 l i t ) .I o i e i 4 + .e - i ,,i l I l i i i_ .j i .e t. i

  • l i

s e s .O 'O O O. O O O f O' ~ O O O. O A T 't ) O-O 'i g b 4 6 j

1 6 y e S-e e e e t I a o i o o e I e.

  1. -O
  2. D e

f a g P e N ,e 4 j g ( .s. g e .l +

. i i

i i t t g l .o .o -[ t i o o l s e-I

  • h

.a h .O j e w e w u e f ~ > f l 6 e P g g g t 4 i l-o l 8 { i e 1 e I-3 g ,e e. 4 e I g j f I { N ? ,N o. g o 8 O e e e o te O

  1. o I

I .I i s-I ,eIo e 'e 8 t 3 e 4 ..e g e.. g .N ,M.. e, I t g e e a e i i I t i e g t i. i i i,, j' i i i e e a i M e O o o o o l 'e 'k l f 'o n M O M h O ,6 h h O A N e N e3 h o e b e N .e 3 e 4 M d he 9 M e ,e ,4 M 9 3 I 8 I I. j t t -l e. j t t'

  • 2..i i

l 1 1 l . o I I h O g j j 1 a O g-I 898 h 'N t" 'o ,o o o o

  • M

} e4 O O o O O l '4 ,o

    • 4 O

4 O 4 o e8 O 'g a N ,e N ee 3 e W e ., ',M d e a 5: N e4 e ? I 't w N s e es s-m.- 1 d N g g e f M t l. -N. I i } 3 3, t. e. o 'o o. o l M o t .e 6 -'e O M 'o M o M o o o o O o w M W o se ,' e 64 e e M 3 'e N M e M ma .a, in a h g De o e' s M 8 l ,I sne r M M 4 M g e g t 4 e e .t = I 9 4 l

  • {

I g m j e N I o o S M e g N h h e M o N e M ,4 N .M N 84 N 4' N o M e .4 8 M e N N e 3 e O e n M M ' On em. 8 'N j W 'M I I sit M M f t a 6 e o . h. 8% l X. tft M e .M x u a,, i t be t a o o e4 o O 4 M u a o o o s me o og a > N M .et.o o.,e 4 m 4 e4 o W .e w e 3 e o e n e ,o e4 i, i

. i.

l i e f a e a l { 'I e 3 i i. i t i e I i. l i l I' t 0 r g 6 e i i. l i i U i i i i g ( i e i i., i e l Q. O O O 'O O' O O 1 'O O O O O O O 9' 7 O O I 9

-+ i a e s t g 4' O t' 4 e a l' if i. t .a I e j a i i l' .e i O i o 8. e ..o o . l:. e i. l o eo j I l "j'i l i i q s t l h I I l l i i t) 8 l 3 ) i t-i i l a i l O I o I i 1 t l 4 o e o a e I I lh o .h o l 6 l 6 l l> j N,,.. s 8 g 1 I I I l ? l l i' 5 i { l f. g l [- t } 8 i i. !. 1 l .l 1 i I ) g O to 'o i 2 o 4 4 o ? o { m.

  • 9. I.

l g ..o t '.. o. N 8 o. j 3e o. t ,M - = l p 5 1 8 1.l t 1 i [. I .g l I I l t i g i i [.; 'e t i t I t -{* i. I ? w n m I 'e i n 'o les e. o 4 ,o g b o 3 g o N ' g. N o N I a" l l .' w o. l . u% i. h e i nw .* O A .8 r a.

  • m.

,I I-i. l lw I.. 8 i i l l t

o l

t g. i I l l i 1 l.. o i >. o l f t. t. I .o. o f o e t o a o n

  • re, o

o,. ,o ,- g o o e o l, I 4. a. f d. a. j 4 fo g4 o. . u ,o. 4 l g twi.. i l.' y6 C i i 4 l i l p ir. t t i I i . i, i lo ,i i .o o O o o o o o o w N n. o. . m o. as. a. s: J no no c e ~ .n .w w*. >). > m 8 M 4 H e } o S M f t . De i I l i* n l g n l 2 e i l ..i i I M M f..' e N 8 .O f g e '80 t o o S* M I ee M I M O N e N M o. , P e. N W . N P* N 6 N N. M N M M w .4 .9 b s ce e.4 e e t i i N n w .N l 0 6 m i s 6 m. l t a n o l M M

  • M N

+ .u I I. = .m I 8 io l. .o. i n w o .4 o p o o o + M M I o o.g u an .4 W D N. M '.al .e 4 o 4 o. ,3 43 4 ne he, e M p,. H .'d "m o at h

  • 6

'g .a w 4 . at 4. g .M s l l i. ,I>s 6 Se .e N I t 'l 8 t ] f l i r.t 6 I J t g 9: l l i I I I i i i i i l + e. t g 0 l u l o o

o. o o

o o oo o o o o o o 0 0 0

0. 0 0

t

I h, l t. e

  • a l

e t .o o I

  • e s

l e ' e'o l l t a so I es o o e >> t + w +: l l t i t i I + a / .t l 6 I e t v,... i l ,i i i 8 1 i i i 8 ae o ,eto, o g 8

o. -

o,. m f f M N a 8 I t I j h 8 e i i -l I a se m 's g N-l s' a e g - e s I t. i ', o a o-m* o ol j e eh o. g I 3 . e ' o. n.e, m. * .o o. I g l t M. as. l e., In ,l e i . n .X e e s i en a f } e o j 8 e t. 4 + e-g I e 9 .n J-l t e l l e a i i f I e e l 4 l i l w o' lo s I m e

  • o a

o o e o i a es o >. n ,o ao o .3 t N -

  • e e

o .m i e e .w> e. o. 'g

e..

w o. w e. 1 m e + I ! o., M .o i H e 6 1 n: M, i i

H g

.I 1 i ) - [ I t 1 0 O 8 a e. a , a. o l l ,t I e + i s. 3 g o m. o ol k m o ok e o o n ee p b o l ee t o o e oc o o d t o+ 4 ' 4

o..

4

o..

o, .e a I M e p H ,e w e 3 t I 8 pp n 4 'M l ?

  • i.
  • e I

i t. 1 o e. -} e4 j .n ,w e H e g i 9 i 'i I 8 e t { I i l .l s e l .i l = 1 g i i I ,o. i e i: to! t 8 o. e t

  • e

. n o o .. n 6 Io .. E.a 'M f o, , e o* m o. .n o to W o . e9 ,M n. 8 w 3 e e

  • 8

>+ 1 I p e .4 p n ?* l' 8 es s M e .'. l t 8 'n W e g e - n a ? t I i j W e t 1 e n. !o ,e o o s e4 'e ePD. o N e lm.r eeN. h. o. J' e, M N N N e9 .w n

  1. 4 e,

e4 - e4. I.o e e4 e j e-e4 e p 4 s M 8 e e m n l } g e d ? e h" = t I l 3 t e o = m 6 i e I e,R go6 l8 m l t g M o- .4 o a I + = m 4 sal e4 e4,. o. e4,o > e4 .o o a N. l m he M M e e w es. 3 e. U M i M M M M i o s W 8 4 b. 9 H d M e [ l M a I E, 3 M M e4 e l g . e

  • ps I

l t j 6 4 g i 6 I l 8 4 s s 1 6 I e e { ( I q%. 6 g t 6 a + 6 e 9 0 4 6 l l 6 g 1 f ? 4 e i g l l g t' L3 O O O .O 'O O O O O O O O n O7 0 0 0 C i f. i

.. e.- (.. l I i .o ; l I a n s .s I l I o e i 1 o P t o. o .e o 8' . m i O. I A j g l l ? D' l. .M !.: ' f.

f. $

.i h J' '. 4 f j 3, i v. c.i 6 i j i I l l .I t 3 e* i t o o t- + 4 I 'o o ) a m m t , e

  • o.

w.o. 8 s i i e t 8 i l. e t t I' g i i e l a t l l j l r 8 l i t t i f j 6 I 1 i i 3 l 3 'N o o. o l l i 8 o n. . i o g 1 e o ,?

o. 3
  • >.N.

so. . e e

e s

l. l a t w n i m : p i l .i l !) i i e { l } i e... 6 4 .f.'.! l ,8 I i i 3 i -i l i i l x ..o n n o m. i a o a N. a N o N m o o. e. 4 s e N m o e e. ,o = M i.. u. . :n wi -e g l i n i [ s 4. l I I i.*i! e [- ,i i, I i I a t .4 i + a. e l l 5 l l. m o t 4-o m. i l l i. n.N e o i t t N o 1 o o .o o t n .4 o - o o o o i

  • *
  • o.

o. .* o e o ma o as

M e

.N . :n i.

w..

i 'w l ,s .4 e l j s. l I. u a. w 8 i m e s a e 1 - e. i i I o i 'o o o e o o 8 o o o o a 2* I M o M i s't sit t .M i . M ' o. o. O. o. M M s ' W. -N 3 D. - e M i .H t > n a

  • j t, +- '

- M l o e a d { 8 { f

  • *4 M

t 8 a ] 8 i { g j t I { t l g l i-g j l a w

  • i e

m

  • a h

8 .~o .o + a n N n n 'o N e N N W N N N. h. e. W e. m D. .N U M M 4 N j -M .4 4 o . = 4 8 e g H s N 8 t 4 e, s' i D. g W h 4 e e g i p O. i l j ga :: e. et i O M I. t ,a e. i i .4 o o 1 o

0

.4 o u e o.* o .o o + e wt .W I H o H o H H D i en

o..

o. N. w me .t u.4 ,.M w o .i e.. l i l A. l l we wt M t g I t 1., t i i O. t 1 i i '.9 .%(j a e g i .i j j i i-n: i I. i i

i.!

t. i ( 0 0 0. O O O O O O O O O O O O o s =..... h .i .I 6 s k A

m-w a .a., FISIIElt CONTitOIS COMI%NY a CoxTaxrxrAs. I): vision O e 4 0 o l l e amm c 1 a 9 4 O I l f I e - - - - - ~ - 'v"v-w -wmvgn,, -, _,.. - _ _ _,, __ _

.~ _ t 'w 1 a l .o 1 8 o I Izcms M 5/O h : " i n .- : l tw u. s ~ e y 9 I j g. Q f .[ .1. l l l AD t ". Y I i* 4,b l u { g [ 4,. e n i I

  1. M -

+. >3e 1 j'a .4 2 C-4 s. '.. q ?. 7,.;- le I=. .O.D ; ,l -e* - j r c _. .t j t :a j:jgdddh l 1 ? g.: n a ..f.

d. e. e a

= = =.

.a ha
n..

a u I .a n. A. n O s a,

  • . g.

9,,, g i p. c . u., =, g,y;-?y.i5 e g ,P 9 = ,il 2* i ri a g 3 :j qstS!'Esg 5 -l ; g,.. g to a l mp;- y 2 J u g E c g j 88"' &p e ,i j l-liQ..fih.i j.h.ilE

E w

L gg 4 d. i i ^ V@'

(..: n. ;

~ .rfs3e E.. 1 y g .g g p. ~... K. -M. \\. l M. IM: V N H995

  • i bbYYhkYh$!! H

~ O * '* O '. '*..N..*;. l _u s .: a a u u a c sa a n + 9 9 i w i .o o O... ."s a .. O .. s....

e. g e,e e f, g a,. h e.

a e E, s, e 1 _,.. wq. i..ss e p :.ps s . g.; o, o... u

r,f

.w (Jii! ] p(3 t -= i s t g .:e. W-i 4 bn Jr 4 i n n s. t, i.ph> c .F .i i p ! ! !r e cpr u eEr s oi s ! .O O qi-I ..ie o o i l " O

: d e, B-O

.? e. d :I S E !E 3 t g g g

g n

s o O - .. @r. ys s i ' y y) 1 ? M ! ! ! ? t i i1 ?.*- n I h j l 1s]r j @ g h MA /. l dS 4 gJi, e 1 1 t g g i la? - 5 g n t:g. S -4 a

., n a s

e q l ! i !3 5 ; 1.1 5 5 5 {

=

I e 4 5] 1 i. a l Q s. i g g I I l t g.g u n r i c i. s. i..g ./ e, i t u ! !iae Bi e r ar r h e e a 3 .a. I

a..

s t.

  1. 1
  • g

'4 d l . 3 ::3 D fl" j iq. l. o u. m:. a g h. e s e I e ,g

l + l e i I. L g g l t g

  • a 3

g i e t t e ,i 4 l O $ O 8 l' {* l O' O e I s. I 8 88 O. - N - O 8 D' j e

  • > e e

l.*. I l l e g -l j .s I l l

  • l 4

5 3vt e 0 a 9 a I i y e. e 4 s c s l !O O. [ - O O 8 3 s M O h- ,N O., g -l t M e e e 8 3 i i .I ( g e I i i ~: r i 8 A i l f i 'e l ? ] i i e r i l 'O l I '. O 's n o 4 - i 1 ? *d O

  • O e ;. O

. 8 $ e- ' , N e-l O %G O, e9 O g 4 I

  • *s.

t I ( 'M e e. e >* 8 $3 e a 8 8 8e, s 1 g s s l I t t o a j 8 t .t g e g i g t i -t e s t O 'N J O '. O 8 c. O ,o N O W3 h -O O I ' es3 . o e + h O j + A N e N i m.O . >: e N e e' n e

  • 4 tra at M

e. n t 6 3 [ .l ,I t N i i t z t 1 , a< ?' e l l a O h h O t -i = 0 vi ~ I ,O tO +O

  • O

,O ett ,O O .O O O

  • t g

j lB *

  • J 4 0 4 O 4*O
  • O 88. O l

M e - De e N e . e e a a a + e e g t n, l i i g u i g { g l a w w ,O d M i e e4 e set I i n i i l g i t ,' 9 I O .O .O O O O O O O e ?O t.*:i M,O M!O 8'l *O M O at X e e M e N e 3 e 6e O. gg N t e .e 'M t e8 H I 3 O I g .e i *,. M e O I 4 g m N' g. t 6 ') { I 8 .t ,1 l t. j j f g 4 a I g* 8 g t I e e u N. e e 'O O O O O E e er1

  • O O

O N e e e ett N,O N.W N 'O N O _N et at a n M e De e H e e U e 8 M 'W 'N ert I I L n

  • * ~

g l N y i 8 I '.] f p M .r W e h t i e m M. en n ei n T n o g l { D M e H .[ I' lO M W

  • O i

.J O g .O .O N g' '4 e4. N N.O

  • 4 *N
  • 4 m

' + so M 4 u i se e4 ,O O e > N e M M M e e N 3 e U.. e W ES. M

  • e4 M

.O El

M I

. El p

at 3 e

og H es o

  • j g

.g et es a l' lh e e i

  • i 0

I i l' i e 1 l.i

q l' g

6 .I 1 t I, i + i ' 6 'j I I i j l l 3 i. r .O I i i i .I t l. l l I i "I t 8 i ? O O O O O O O O O O O O O 3 3 O O O O C .e + i r

~ _.. L. o i- 'l I ,t e e. ( i to

o g

t .o o t. s - p.n l o. o. 't i 1, e no e N. .l l e } e 6 a b ) 4, I g e i g i i - I s t f t e I i ar , :s ( .( t. e I 1 l 1' i l' a. o ,o 1 o l s .o

t.
  • e
o. -

o. w-p i

3..

i t 'l 8 t .t t + 8 . i. X t 6 e r s . m e. N N I -[ l 1 [ I 3 d i l s a l I w o I l o.e t o I

  • n

.o i

s. o i

e I ,e o . se e to o. , e.t 3 I 6 H ;e 4 W ** h l = .4 e 2 m 4 s e l i e e m se e .1 I 8 n w I i J

  • N

{- 3 8

  • l.

i ,e t e l i. = 6 I l I t l e l t 'o .o a. o + I t e ,o n h o o a n h .e .o h e e

  • o o.

w. o. se.

  • o.

w m N M-se.. N j .N ?M.l 1 t l t 6 i t.. l t a se g I I i

  • W e

s i g M t 0 I 8 ^ 3 o o j l g. h 'd. o I e e 8* e e .o o o e .'o e o .o o o o .4 o =t 'o I =8 o 4.o o ed .O M i ee pe +e N 'e e 4.e e e l f. l 3 D 4 I g g g h .N 9 . = ' g I. i I. i e C j g l

  • g

'l g -e e I I l' o i 6 g N p g 4 d [,. ,g go . o .o ,O d p. l o o o go 8 ,g h.t d g. g .n o n .o n .o n o ' 60 so e e e 3*. 8 M e De ge. N f o O 4 gg (. p l a e N s. w f l i f I t g 'l i. .t -l .{ l 9 f g i [ - l 1 t I M on l i e. ~ [ a.rg ?O o eo o N N f e N l 8 o o o N, l o. ' N o SB ** M, N N 88 N o '3 u e - ke.

  • N e

M 's .h I n g ( t N N e

  • b g

{ e g N c e n l t gw w p e r u i

i. o

.o ; ., o.e i o

  • 4 o

eo* 3 p + M S ' *4 g e4 .O o i y u. N. +

  • 4

. N. 4. o.. n. N. .'4 = .m,a N M = .e i n. 4 o o e o " ". Z i.. i t,i 8- ..i a -r l i. l i i i i, t. i i j l., l-l-

j..

c e l t I .y 1 i l {. I i . }. .i i i I l i e e 6 1 O O .0 - 'O O O O O O'O O O O O O' O O O ( s

  • +

,, y _..se. i L

r' . e'. 1 'l .\\ g '. O L l I 1-l a O O [ 'O O O e 'i i g i. O4 e. O.., O. e m .i N p e 8 0 t i t l .g ). t .s e

  • O O-

.I - a e O O i e h t O h, O a N e k e' 4 f e je i ( I e i l 6 I D O O' O O f . I' W D e N ^ .e N i. O 6 O art

  • ert e3 O

e I l M*. H H 3 ' e I 1 Ie se g 0 l l I 6 e b a e i 6 3 9 p 6 1 4 e + 4 i l 8 j l j O' O O O C. O 8 rO O O O - we. p. O 'ett W4 h O A er% e N e h+ O M. ert e

  • e

-N 3

  • e4 m

.e 'M be M t U I I i l 9 M 4 o g e e 3E e j g e 1 6 a O i 6 u 6 h O 'h h u O t M M I O Ce O O O M l O O, O a O O at O at O 0 C e3 e + H + 3 M. O !"O 4 M e s e a N f u O e a* e. e a e I O n N l a 4 i t I = O o O O O es g 1 O O O O O M M.' O. O.. .M. O. O. O. ri M M M M M w. I. M r 3 E e. 0 p g ye Pe 8 M M- [ 4 j f l .I 1 g i. i i i .O .O O O O p N O O O O > N e et - ed' N* M N N O N O .3 6 M M M e pe M e 3 e U r e - I h ert ert l ce ett e e a t g I l N f g ' 8 l .De !N e .e 4 g M .e M <t i n I i y! n I o 33 sei. m e e W M g 8 O O O

  • 4 O

i S* .J O i 3 U e O , O O O + - # "M a w

  • 4 :

e4 e4 e4 3 0 oI .4 O. O., N., W w f ,n e .e M p w 3 .4 m.. O m t M 8 M ( I, i r i l i l e.J e y* i t i t 1 t_ I i e l e i i a O-O-O O O O O o O C. O O O O O O O O' O e 4 w e I e i 1 L

n. v S. e p* r.es> e I 8* noe i

  • e.

wt

a..y.

a 8'9 71 + e. 4 + P ~ b Y g 1 tJ 0 v .s. O

  • ) 2 3
  • e..

ee e, +

  • /

.s, u e e n 4 ,m,.-- 0 i l$ $r U 41 e. 5 s. et 8. 8.4d

  • v
  • E f r

w e v-PJ f J w a g n W

  • e d.

a e a p 8b f. I, h b D h f I. f. f

  • -d

--4 -4 e v s. y, 3 4 y e t Y* C:ar I e> a d[ $e . I' g. a g< e e s s $ av S ~'* =r r,

  • s.

l. =s d i an e o-. g og ,4, 6 e d W 8 at s u a 3 Q ( t s ~ e W t t, t .g ..g i d f.* 0 g p1 c 5,,', ne e [ i' L a ,h O ed Si LO"h 's 01' A 6. j

  • 1

( f [ { f j { l I 7 7 g ..a e..u.......V Y l e s s e ? 8 e s wh h 4 e' 1 )8 Y

  • te g 0

~ 4 g.

i. r.os:

..a. 4 t e e a a . i,, e' 'gg4 e s t l J e e ss.e 4 u I, F O ( w ti =. c a .e u a ,..n. u. p l, i. ) 6 j e,J v,

  1. w

= 4.I p. s,e, e .,.........,..,.i e.e ,.i... s. .,i .t .e s e.,.. e. p

  • < a av..

e.. e., r. .., e. eiei ..l. ee * < a.m. ,.i, . l e.p..,. n. I ~% a e, y-e.e....... s f .w .) o r' 'g g P 46 .......ee e ,}}

Retrieved from "https://kanterella.com/w/index.php?title=ML20116N680&oldid=4285035"