COPY. NUMBER_Z= GENERAL DESIGN CRITERIA FOR CABLE-TOWED BODY SYSTEMS USING FAIRED AND UNFAIRED CABLE Prepared under Contract Nonr 3201(00) Sponsored by the Office of Naval Research or SYSTEMS ENGINEERING DIVISION PNEUMODYNAMICS CORPORATION BETHESDA, MARYLAND | | | ‘ams HN 4SThog y Nh 10H, IN IM/19 TOE g WT WW NM TN-SEDU-6634-1 GENERAL DESIGN CRITERIA FOR CABLE-TOWED BODY SYSTEMS USING FAIRED AND UNFAIRED CABLE Prepared under Contract Nonr 3201(00) Sponsored by the Office of Naval Research October 1960 Reproduction in whole or in part is permitted for any purpose of the United States Government LL Wi) Ellawor FR W. M. Ellsworth, Manager Maxine Sys Department Prepared by: Approved by: : . K. Richards, Division Manager TABLE OF CONTENTS SUN Tay aeleveter ota le re eielelenallsleleleleiels) «sto? ciel visiicl aie elsleielotelstsleielolcnels PRC OGM T Oliicic ico cvoxcvexere eo anece ere seie 6 ol eve! aielisueleie esis) elevel eierene Technical PUSCUSSLON oie; ceseral eiavele ere erence ee ele clerahevetevera atone System Contiguratonis eis icicieeveleielelelotelelatelereieicrc ele Calculations for Unfaired Cable........c.ccecces Calculations for Faired Cable.......ccceccecscs Illustrative Examples Unfaired Cab OG Sercrevere oc 6.6. 616 © 6 6 6-8 0 on ares eters Faired CADW Ais a tcrstace Wis ereve cl siisreworals enc veleheuchene ROLEOTOCNCES ais cia cvsnelaie ie) svete e166) site) e086, 6 elere | eueiete: ¢cvelereyersijee Appendix I - Appendix II- Appendix II- Appendix IvV- Tabulation of Calculations for Unfaired Cab Grave 5 acts overs ese ence) bre ore aueaane Design Curves for Unfaired Cable..... Tabulation of Calculations for Faired Cable tcen hehe nee eben ens Design Curves for Faired Cable........ 33 39 49 53 wi é Cees ieee j : ANS ne t " e ; hie ‘ 4 Pry ey Vy me 82, ‘” % ; he ae 1.) sages a ts ia eahsa® preg i yh” ‘22 oldat) Seats oni)) Baz anh Lats a ; eae ae? | 0 caw Bla BSsiat 499 C6 AR ROAD wee) Leyete 4° a 29 va 7 we | : ‘adres: Rept Eas ot! Of | Gide O@SAH7 a: i 7 ) A ¢ ; ; ‘ fi * * i 2. ae . : me grokfntsiol a? tO WON Dl eee 7 i | ee sé P cau veveasnae y's LS _etda® Betisany 1ol seviwo np,ee “te f . ,) f ae ot weetedfootad to meakvalocdset - Tz atbeosen { ve ‘ ee aa? Wet 224 a l{dbo be tat Yo ypry ““u") an Hac: ie Ee Li artic A method for rapid selection of design parameters to satisfy requirements for cable-towed instrument systems is 1) described. The method is applied to both faired and un- faired cable systems. Curves are presented which facilicacem the determination of cable diameter, cable length, and re- quired down force without the need for performing laborious cable calculations previously required. bein i ! ws cnd Woheel Ae War toal od eLae AeA Havas onenl tres boweeedion val (Aa uRe sou ban bialey Med of Gatos #4) Netgear ied a Tass iswv? Arik ce Ce PS Naty Ve NG uae ne cue A i ; ‘' fA «7 oLVAD © joie To @luae to, melAva aan a | h a epodietal Oita wel isc te!) ben ¢o) suatwiw eal ‘ror wy i ; of ie ee eye a y Laced Wie eres 4 ra nitwe at of 7, ; ° f a nt i by INTRODUCTION In the design of cable-towed systems, the problem is complicated by the large number of independent variables which must be considered and the necessity for performing laborious calculations using tables of cable functions such as those in Reference 1*, There is a need, therefore, to provide the designer with a more simplified and rapid method for determining the feasibility of meeting system requirements and selecting system parameters which are in a range of prac- tical interest. This need for a more practical approach to cable-body system design was encountered in the course of studying requirements for a towed instrument array to be used in measuring physical characteristics of the ocean. Asa result of this study, sponsored by the Office of Naval Research, a design technique was devised to permit selection of a practi- cal configuration to meet requirements for attaining a particu- lar depth at a given speed using armor ed electrical cables both with and without cable fairing. Since this method is felt to be generally applicable to a variety of such design problems, it is described in this report as a separate part of the study. * References listed on page 32, Tih aee d ahd ane | yeas aes tore ia * ena rt we y m 3 maint Poetis® wisi zo we t chins tet Let noah ancien aioe cJ .@202630d2 been 2 6t wiedt haf ‘2Kie0te ng eaten ~ Dention Siyss bap betRilaita eyow © -dedy ‘niecip daw wh wate CFI RA YOK Ol HY’ m™eee4 20 @0151 45 0k Sie dohdtv wxeseees Moe yo paazomk owl CS Roto yveys i8otsoest wie A 303 Geen ole? tos 1eiAL ieee S0 ee of? 4k Sastnveons ‘Mov mpteud meahye Ghee Tae ’ 7 4 meas Od OF YAY>e, Jadeurstent’ bewas ao “od FEA Yes pry = by a s GA ames ads 2¢ @ossni guess iado leoidyly ol eee yi — ; j 7 {> aS , jgozsenes levgt ko oi tO eds yd Dexoencge , yond bit Yo Gi eh9eit2 & tO MoOlseoeioe jinvveq oF Healvas. daw wMphsitoe J nv kuwhen MUoLl.1, @ OUtdipgsa 19% ataoceilopes joem of Ablsat cli ® ; . o> einen [doiicbele Doves Prinuw boout devip « 24 ddye@h: at , orl at botien Wir eonla welusay aiceao Svetiiw ons wd fyiavh dou) Io yeeisay 4 04 eldssiinga NAlew dey ed) 4 dink: i. 27590 #2074900 A BH T770Qe2 Blast «hk Oadiieeeh aL JL sé toc » Yous. pee Ke | ee hb wy 6O fe rek sl aoe, Fo MLO BUR LG scat hae | i ed pam) a me ta © SYSTEM CONFIGURATION The general cable-system configuration to be considered in this discussion is shown in Pigure 1. We will restrict our consideration to the case of a body towed from the water surface with the cable lying in a vertical plane and curved concave downward. This configuration is designated as the "Quadrant I Case", in Reference l. The forces acting on an element of the cable are shown in Figure 2. These are defined as: F, the hydrodynamic force per unit length acting normal to the element, G, the hydrodynamic force per unit length acting tangential to the element, W, the weight of the element per unit length, and T, the tension in the cable. The principal distinction between calculations for bare cable and those for faired cable lies in the description of hydrodynamic forces F and G. This distinction will be dis- cussed in detail in a later section, however, in either case, the hydrodynamic force is generally described in terms of the 6 oad oF nodose sig bikiges sas viepatalen’ Aateang watt (gotitiues iigw oa |. welt Gt ewe at ae hicons elas as 1 haves O80 eotl faved. yOod 6 16 bana oA! oF curdoxeBdeabs Me hevuye bas ennig Jéctyrev oa ontivi eides eA deiv wart | Ve dae de ugLSOOD Atal”. Said gbe my BA S02 Gsypiteh of faL7e i sieteieR 2s ,“eea? ¥ Jaskbe ova via eldao aft 20 Joueplea Ma ASG orizgaw -wsasan er 4 rae SOOT) orn PHOR?, .f wars eatsneé sidestos Jeo ea WUIGS simarryoo tht ade 9 arate ae By Os f Oareon Wiigos dips. sif0y veq wot0l camasyoosbed ee (oO Snewein @f2 oF Laijeeppiaay Ons: (\Uopiel Jingu seg saemmle mt §0 Weeiav ads .% olGas. ord a2 aotena? cnd.. 2. Ore: 92 Onolipluglagy sedwied goltonigas) Tegiodisd. edt 20 TO 27G2%5Ge5 Sad BL €@211 #ldso Setig® acd sect Haw ities WOsD 24 iifw nolgonloars diar. oO Dae, F. @en wet cr cannot gai ,O5a2 te Ont tevewodl .debioea sogel © at tlagen “id Cap # ia ipo a3 76 Bese of bedizaaeh yilesenoy et enzo’ phateeyoosy ods — FIG. 4 CABLE CONFIGURATION FIG 2 | | *.. FORCES ACTING ON AN ELEMENT... 2 a | OF THE TOWING LINK | ee ee ee f oF Se < ‘ty es) ae drag of the cable per unit length when the cable is normal to the stream. The drag is given by: R= cy & av? (1) where: cp is an empirical drag coefficient, p is the mass density of the fluid, qd is the diameter of the cable, and V is the stream velocity. To reduce the problem to a case of practical interest several assumptions will be made. These and assumptions already made are listed as follows: les The cable is assumed to be completely flexible and thus cannot sustain a bending moment. as The cable is assumed to lie in a vertical plane parallel to the direction of motion. 3. It will be assumed that the cable to be used is American Steel and Wire Type H. This cable is of the double-armor type which is available in various diameters with a variety of electrical cores. Table I lists a number of sizes and types presently a te: “a a ‘ Ce, sem katseco peub (oknirane otis eal ae paul, wis 20 vieenal. oat wil as ‘Sy y tea: yoke exit), 20 pusuunle witt’ ab ‘Ystotlevy, mmedte efit wey Seo rweath Lasidudad Do 849 2 HP Bos dest OHS. OOLILes Snoitguveas HiA soot ,ebaa ed Lide see pegeweee:, ’ ee ee y\ sidixnelt yleselqeas ef O27. SBeuMoN ak eigen ae et hi Na / , RRO pat Sod hb mleceue Yorn he Brig a if wisi (eoltuevy o of, aif oF ceewoan 8h olden on a he . uotjan 30 acdéoaxrth eds: ot eile ted i) i Ad _ ‘ho ba of eldas ocf3 gars Oenvede ag, tiszw Ot Ne 2B. 6LGaS aint LE egy? acy: Gas Lowede seta his ugohigy ni aide l dO78 BA Bos ite oy Be ae] as Loon wis (As | getoo laclitaeie 20 Gratusy 8 Dae hse DOM RR, visoneecti SeqQy! bas pee2d9, 20 “RAGARHT 4 oteet F mieiar * 1-+-100 1a He1 25 1-1-0 P71 i=r2 i=E-3 1-H, 3-1-0 3-1 Mod. 31 3-H-2 3-1-3 Rie4 ; 6-Hel 6—Ee4 Cocper Weight 3 | (Lbs. /1000 ft. ) TH .CCE A&C Copper Th C08 A&C Copper TR .012 Tinred Copver fe? OL] Tinned Copper Te .020 Tinned Copper 5/64"6x7 Co; per Sash Cord 5 /64"6x7 Copper Sash Cord TH .008 A&C Copper Te .Ol2 4&C Copper TR O12 24 Solid TR 2010 4&C Copper 7% .010 Tinned Copper TH .012 Tinned Copper TW .OL2 Tinned re e 6.24 8.72 9.09 9,09 4.11 933 933 18 .66 Cable Weight in Air rw | ~] e ~~ 8 w 139 ie 302 C 332 (Lig. 1000 ft.) ae so eS a ls - 52) 8 . Gs 3S ae) 8 bd 24, 900 24. 1500 10.7 2700 5.24 7200 3.26 9200 4. 2 11000 le 2 16000 24 2700 ' 1l.1 7200 ay) 25,7) 6300 15.4 9200 15.4 11000 Lik 16000 “11.1 18000 2he6 7200 11.1 16000 2.60 3300 4200 None a60 None 2760 3300 4 00 8000 2169 6000 Diameter -100" ol 5" ele 2" 292" 2322" 375" 2425" eon 02) 2" 2300" 322" ° 375" 0425" e520" 022" 0464" 240 240 Ole A025) 028 039 -032) 2032) O71 0043 037 2051 2043 ~ 056 2044 0055 1Sw 2028 lee am aL 00399 PLO} 2) 049 Insulation Rubber Rubber Rubber Rubber Anpyrol Polye tin lene Polyethylene Ampyrol Nylon Rubber Rubber Rubber 10 100°C 20°C 100°C - ——~ — “ - fe ‘gaa hie Guibas — } ’ gel any 4 a“ ee ee ee ee ’ basil ry * , cere. AID, WEL “BOT, Pee) Oe. ORE 1s me 2 Weal *~ Le’ ator ns ” . Oe PSA . ue i; Nace Rave ce G . wai i in use. For these cables the weight in water per unit length and the breaking strength are propor= tional to the square of the diameter. These relations are: w= 210 ae a? (2) ibs £t? ' Taax * L-15 x 107 ao (3) The cable tension at the water surface, T, , will be assumed to be limited to 1/3 of the rated breaking strength. Thus: lbs £t? T, (design) = 3.84 x 10° a? (4) This safety factor of 3 is employed to take ac- count of inertial loads due to motion of the tow point, and the reduction of cable strength due to corrosion and fatigue. Actually, in a conser- vative design, this factor ahoata probably be as much as 4 or 5. The cable angle at the bottom, 9, is assumed to be 90 degrees. This means that the drag, Dy, of any body attached to the cable is assumed to be tla a, Dditp rely wd Rbides jr Bee dete palleinene its ne sa i BiG, : Ps it; an jt 7 i Seger oduican bb mit Ae pussys mash: ot ii Ne iE es ,f ,noehaoe yhoo way 4H NL eTeSs olden way oct Saas ecsan aia? adver “a bate ae 2c sd oo hawees el aiden pile oF Godnedie YR Vee very small compared to the down force, Lo: This assumption considerably reduces the effort in making cable calculations since the tables of functions, such as Reference 1, are usually set up with 9 = 90° as a reference point. Furthermore, it is usually feasible to achieve a value of at least 9 or 10 for = using either weight or a o) combination of weight and a depressing wing to produce the down force, In carrying out calculations of the cable configuration, the cable characteristics, defined in Figure l1, are generally expressed in non-dimensional form in the following manner: 1 = eS (6) oF Sag (7) Rs ‘ o = To (8) We will now consider the use of these functions, which have been tabulated for a range of variables, in calculating the configuration of a system using bare cable, 12 cae ga gud, ast A ii! Ses Viloves 7a ed aonddohet us dig sn 9p rr eyoeeteet .fdheg eonteies 6. ee Ot & a ae / ik ar - ’ on Po anlev a svpliios a2 sfitisack Nilewey ad. on” ie ie a i my ar 5 & 2 Jitylew =edske pie “ ¥Ood OF 1p & Seaol = o2 palw. padewcuyes « fae sdptaw fo 8 CS te LdagS, an ws awor aly pornbuig ped 2nayt260> ideo sf? ts enoltaleyolao Jyo weiyxuse 7, . | 1 WVitatwocdep Ox, Saree Re Sunttes — nulae)tesgeusio Bluse ; N ~ i -. ctannem phiwolios ena tA are lenocendmsb-non ml Beery, As 4 fe} = ~— fe 5 a we fe) — < tT i al a : ra G5} - re ——- © 7 mye Heide ,eaottomye o«ons fo Sev 20) “edlenoy wor Like ae paljaivsino wt of a circular cable is about 1.2 over the range of interest. The validity of this assumption is subject to question depending upon the roughness of the surface, vibration, free-stream turbulence, and the Reynolds Number. The Reynolds Number is defined by Re = be » where v is the kinematic viscosity of the fluid. Figure 3 shows the variation of Cp with R, for a smooth cylinder normal to the stream, and it can be seen that Cp falls considerably below 1.2 at the so-called transition point. The value of Rg at which transition occurs, as well as the values o£ Cp, are highly dependent on the cable rough- ness, the free-stream turbulence level, and the vibration of the cable. Nevertheless, it is believed that a value of 1.2 is a good compromise for use in these calculations. With this value for Cp we can therefore write R= 1.2 PSE aye (9) We must now consider the manner in which the hydrodynamic loading on the bare cable depends on the angle g. It has been 13 , ) ae art, Ae 0) a | i, ie DBE Pie eon to tedmun etiagetieancs & te gem ie Plabties:, « io , go \teminastions ywatl eds Ida Nt wekbelay sal .jJewmsas te epnay eile mene tat vente Ends cog passonaeb aylonouy oy Poukdun as nedayonae | ocelot nesse-ewr? coldasdly. (beatae gett dow | yd banttet al wetawt abLomod act koctigga, wbL organ art 7 : bial? ace to Veteorsiv of *euanly pay ab vo bee . ma Wows 2 29% gf gw go FO else av wR metacin Ge x ih ne) ae me an a Fund nove od Geo Ys, OA (oee“ss «6 DF Aeon Ce in N nastiness Salleas-og oS Ja th .! welied ide Oh eIOO s th pier i tow 24 .62oto fot siaors! dole aa yh 20 woLay ony 4 a): ~inpos olden edd ao arneGusqsh Viitphi e218 ygd So Korey nti) ie aoiszeedey ef) bin ,feveal soto tadad? maby fh-te ad ee a a ¥ : a7 fi fk te Bilae pcos) Revelled si +1 ,aneleteeevel, .eldegeee 1 é Hi ers enolisivadieo. ours Al eau 2ol bee Te DRO = eA, 3e AT eRe eo) BY) ol Ios Ea Fra te) Ny td oH ; -. fi : Sivenylo Lay ei? CAs of IDEN?) BAS. Fe 04 SS Wont aid a f ' = ; pesd aai 3) os) ecmied>? veo whomtalh ela ead ny yoke tJ ny : , ve rea 7) jh i 4 al ce ES eae pe Res Ee, Lede eh Re, ee Mey eye WeelIS 1} 02 906 3% IOPUFTAD ISTNATD B JO YWeTOTIJJecg souejsysey oy} uo vyeq TejueMpIedxg Jo edotaauy - € amITa (40;@UreTp UO paste) UAGANN STIONATY i CO bo GS She 6 2 SI w Wiwedy | ts met hep Sree ae se =. ‘ NA Aw Zs | ace ee (aeyourep uo posta) 99D ‘INAIMAATOO AONVISISTU Leg 7 L ee _ - er ere me! eee by Be HSbiWpscos Gteds & ys po - iTS ere 2 ive ii Da i? a Fr : ) a ‘ q 1 ot ot ned # 2 we F [ * 3 4 ; : - uf f eo ie wt 7 ; ‘ id * i resi ow J » ye t ; i) y i dad rs ' - i e % i ‘ PEO Lee Ouse | determined by a number of experiments that the normal force, F, per unit length of cable is given by: 2 F = Rsin 9 (10) For the tangential force, G, we will make the same assump- tion as that made in Reference 1, namely that G is inde~ Pendent of angle and © for a reasonably smooth cable is approximately equal to .02. This is obviously not a completely valid assumption but, for a wide range of values of go it has been found to be of sufficient accuracy for engineering calcu- lations. Actually, the value of G is, in general, quite small compared to F for the case of a circular element, and does not have much influence on the calculations for values of o greater than about 25 degrees. For smaller angles the value of G is of importance in determining the tension, however, and this should be borne in mind in assessing the accuracy of these calculations. To further facilitate the calculation of cable configur- ations it is conventional to define another parameter known as the "critical angle" of the cable. If a completely flexi- ble cable is towed in a fluid and there is no force applied to the unsupported end, then the cable will lie in a perfectly straight line inclined at some angle, 9,, to the stream. 15 i‘ ue ‘ . 7 er i? ‘a ar: av ie ’ Serna pe ey ‘abasias pays tay Nat rtp fee 86 . + en ‘aati } Pal y | stash = ‘ menace IRS w(t Perey iti ow a op ROR, Lohans Ghat 81 0 sade vionan A esos ath 2006 eb en Ati Page utdiicvahes nm Sp3 r4 ban nearta O06. 73.9 Wt dovliavy Sy opi vbiv a ap ed woLiege eas 5 “Ys o> arlene a 162 caiatilanen Srmisisive to ea oo aes in 4,008 4230p i diaenem? al 48k YY 30 aula ee fsa shania Me Socb ban ,titwwla galieals & to vee weld Sou’ 94 sans > As it rt ‘@ 9 te @edia¥, 164 Oe lagleslas eds ao wanewlink tome even 7 eclay od eos tallnew t6eT Qreuye! 2h sufode Agile ; 5 kevewed (f6L0w7 2° Quiniwzeteh us eomedocgald 26°62 Be 7 ive ae wh %> YR tIOUR 24> wiieeetbs 02 Lite BL etd ud buat ale) - ) ARO LS a CPL ns wairoliucg #1dao te noivelvuineo wid ws: De ee a) G3 ‘nial of i. | a a woot midameiee aurlsous an23oh oF Janal-ctovaes BE $h: ‘mtiote | ~haoid “inteloeoe a 43 sigaq #82. 36 "Adceno boncdihbea on anil s ; betiacs 302 of 8) aced? Oem binlt «nt Gewod at ie ls ond an Viszoetseq o mt eff bitw Aieee ad? cpilt tem er pamediy edo aes faerie odd of , o PL | waka iw home Lewd enti Wg tbr. | P 7 ‘ Ps = = == For the case of an unfaired cable, as a result of equation (10), 9, is a function only of the ratio y. The functional relationship for a cable having positive weight in water is: ———<—— ——= W + con 9, * - oR + y (oz) +1 (23) It can be seen that if 95 = 9c then the cable will remain in a straight line regardless of the value of the tension, T,, applied at the bottom. If 99 < 9, then the cable will be curved concave upward. If 99 > 9, then the configuration will be concave downward. It may be further noted that the angle, 9,, at the bottom end of the cable is determined only by the ratio of down force, L,, to the drag, D, . Thus: Qo = arctan Lo (12) Do As previously noted, this discussion will be restricted to the cases where 95 2 9, - As a result of equations (2) and (9) we can now specify W the value of R and, hence, the critical angle in terms of stream velocity and the diameter of the cable. Thus: ma us 16 ‘Tate err ood ery sh gh 3 aoitadentnes st need oo. < “ 2) acorn yoo. oa te Piaea aes ay e427 4d? Sosce sartetos ork ‘gir 2% cent evans one ¥ Yieo Seaibernased ai ald tho? 4a baw parr ont ne oa ‘ , y } aol. 2 gaz wat OF oh) (ROW erect te oie Was i ‘seein CTA ve ae wl ie | oot eS SBE O88, 84 TOPO @ot is \ Pie, & POG, 25 a Ooo .e2 ERD | 60d tk a an O08, 3.5 00d, af i OCR, Lt O00 bi 02, R6 ot BORE OOF as Ory he GOL #5. O02 .e4 | ORD ee: a OOS, Tk Oe. bh oOe.SL O02 TL °° OOS LOR OOH at . SOB SL OOK ee OOe Ts COe, tL | ote Ee Gir Ge | a BHR OR RES AOR RE | ten = ee a % = = © P & S: ia The values for the general cable characteristics can now also be expressed in terms of the diameter of the cable, the free-stream velocity, and the non-dimensional cable functions which have been tabulated in Reference 1. Thus; 2° “Boe 25E (17) ¥, = 3.20 x 10° ie eS (a=) (18) x, = 3.20 x 10° — te (2) (19) a ~ i] 3.20 x 10° i> = (2) | (20) Values of these parameters have been calculated for a range ef critical angles (hence a range of values of oe) and results are given in Appendix I. Results have also been plotted and the resulting curves are given in Appendix II. 18 ir =a oe Sena — (sige — de ‘at, yi eos tf “ oe yl An ¥ Of,6-¢ “gegen: mY RIS taste. en i © , Bers Gee Ce 8s Donat Seizila “se: Ofc oat SOTuawk s ARES eee NY wid liners apt (tks ox wet tety Pe! iy des | As pointed out previously, the principal difference between the faired-cable case and the unfaired case lies in specification of the hydrodynamic loading. This is, providing the forces acting on the fairing are assumed to be transferred into the cable at intervals along its length as will he the case here, It appears that the clip-type fairing, illustrated in Figure 4, is a reasonable design upon which to base design calculations. Experimental evidence indicates that a configu- ration having a thickness-to-chord ratio of about 1/4 and a ratio of fairing thickness to cable diameter of about 0.8 is an optimum design. This configuration will have a drag coef- ficient, Cp, of about 0.2 in which case the expression for R becomes: 5 2 db sec" aye (21) If it is assumed that the fairing, which is constructed of xubber, is weightless in water, then the expression for W is still that given in equation (2). Namely, w= 210 428 g? (2) ft 19 pO) haw Ae ceomty nin Joel cae . ian vit CAT RAIE L eM ASR: eternity eat Seite w seaiqe items. ecu a2 rei: poe whee wytuaviedn'y rn rs ei é | : ay 3 ae mS oer hades = bis) (iia tad ae LaNeinairepae Jaesany my 6 Bir D2 Sede te -esed: Gesu. ad won a oakent : : : ws O.0 pce, et Ue an, aes ib pting bbe et a 0 ‘a gy ee PAAN o WAN CL mebtas Ah Ay Bins waa ae wa tend 2, AER MY AFR Myla 8 ab Dis oi sen r fis} | : | hats th, we gas om ; : , se i a : iy ek ee j f ! fi yraily aig v '- ‘ i i ‘a ee eee AL i ake eee south sabia * oh ua ‘ 7 q wh af “297 el erecta Be? tai ee ey 5 a ina nb) ty P cite hem ig ig eed 1 ; Hy na IIR oes 9 ear a) bac Aare be) iM Zi Figure 4 SECTION A-A We must now consider the question of how to express F and G. Actually, there is presently a great need for experi- mental data on the values of these loading functions for faired shapes at angles to the stream. As a result, there is still considerable disagreement as to the functional relationship between F and G and the stream angle, 9. Eames, in Reference 2, adopted a simplified approach to the problem and made the following assumption: Be si 22 ae (22) S = cos 9 (23) R : This results from the assumption that the drag, R, is always parallel to the stream which would appear reasonabie if the total drag were due only to shear forces on the surface. This would not be the case unless the faired cable approached a flat plate of vanishingly small thickness. Eames contends, however, that for reasonably high chord-to-thickness ratios, this is a good approximation and the resulting Simplification of the equations for the cable configuration justifies its use. Whicker, in Reference 3, attempts to reconcile data on faired struts and arrives at the following expressions which 21 = Ds x neurite 6% wo ‘> ey, alia ete at tocs ae Lent os poune a beer “ane o ‘tae a 8 yet its «ele avenged ant ands He cues oa tah ‘ Mes waahe . (vale iam suwata a sna hei havi Jugenag age ad wae tpemep ven? > o scared id, ‘shite 4 aS ene a (fees ri ‘a gue anche wat gas’ ® ine * reget tht Aa fe micas, eat ag desoscee ‘= Ph ae oe 4 ine A ‘iv’ fi ou » (he alregh et phy hAws ota ev Sap - ’ ; wet oF ae oe al? nya’ ‘Wa.- ere ata . ih Lions ¥ , i pk iv 3 nie oO wilh lie, cn pig aatra tLe ys ‘ Pp TS >i = me oo) ‘ ie Rey) st. yhied S Mart add te wn : ne Al hy & ] > ft “s sai patie } - ie clvarsgar ei a4: ore . oc nimi ebm sl Vapaahil? 4.2) ers Lee? oo %) t i | x} | ! 4 | BE oivet BeettislAs-O3~S9oto hy Lh GOOS , sabe ate |). Ta oT , r a : lecwehs Py ne ri : surreottiignyy puAssvee? mild, SA pies Foe" Pee bu y eo en 3% +x ate cokve Stil ALO A OO gti oa . . | a } . y v # 1. ih a 9 ; ‘ go estab elionese’ 27 BsqQnazey Ae) ee ee 4 adie, i, > j | wt a “4 ; be neoiede sane Balwelio® whe Je CNL ARE arta emis ® ves wm Wu! ve ® i 7 it i : : ’ F a ¥ "7 ae ited ~ © pote yl “Mr Pe Pee actually involve the thickness-to-chord ratio, (3) g parla? S| sin 9 + © sin? 9 (24) fs (0.386 - 0.303% eos “es (0.055 ~ 0.020 =) cos? @ (25) For a thickness-to-chord ratio of 1/4 these expressions reduce to EF = 0.75 sin 9 + 0.25 sin® 9 (24a) g 2 R = 0.31 cos 9 - 0.05 cos* 9g. (25a) Pocuaiiy there appelite to be only a small difference in the two expressions for E and the simpler one used by Eames is probably acceptable. There is, however, a serious difference in the two expressions for a, Whicker's values being only about 1/3 of those given by Eames. Since the relationship given by Whicker is based on some actual data it is likely that it is much closer to the actual case, and use of Eames' expression would probably result in an overestimate of the xesulting tension. Nevertheless, there is a compelling argu- ment for using the relation suggested by Eames in that he has tabulated the resulting evaluation of the integral functions for the cable configuration. Tables computed with the re- lation proposed by Whicker are not available, although it is 22 i i a » UD) uate Da a ; ay ae é - a | | i vee on Ry “> (2 od See a ub a ih af : i iby / 7 eh hae enn ONE is 1%, sta ) Co o. Paye te pF ee f . 4 i 7 i ‘ 1 i ¥ yy } ie BOF fd Poe td2 Mier BOO be. OC WERE Ort WED 4 me Bae) WS Sern, Pao Ee a mite nih * we wet wdbdtgirse db alloys & Wevewell wt wane mr Gy aC: NAP Riche Gu! os iio os book MRR pM: parte panned s hap oiha wail . 7 py gant LPP wang a0 Bavansyat ws raat yd CY . mi ' “ese he we twa area: saa eae ined ve “wanke a sa ee a! - “et? to acrasesepiiies man oo Yldeaowa Linen ‘ral “ote Dillleqeas ee dianth mee) OOO oi tt enti eet od Ja) al acm Yel betey yi iu diet ala wet wks he ganitaan> Leste snk ory te, esrb abe ave j mn colt glikw he dimpts ep tat Si 32 Motes laA. (WIA LOV A A Pes eee) | a ee yr ay understood that such a formulation has been programmed for machine calculation by the Taylor Model Basin. Should tables using Whicker's expressions for F and G become available, the calculations made herein should be repeated but, for the present purpose, we will make use of Eames' calculations. In doing so, however, the caution must be made that computed values of the tension are apt to be greater than might reasonably be expected in actual fact. If we adopt the relations expressed in equations (22) and (23) for the loading functions, then the critical angle (designated as y to avoid confusion) is given by: ys arc tan # j (26) R which, upon substitution, becomes: £t d =z — 7 tan ¥ = 1050 qa (27) As in the previous case for unfaixred cable, we can now determine by simple geometry, the limiting case for the maximum amount of faired cable which can be towed with nothing on the bottom end. Thus, with the limitation imposed on the maximum value of T, we obtain: s,, = 1.83 x 10* (sin y) £t (28) %m = 1.83 x 10* (sin y cos y) ft (29) Ym = 1.83 x 10* (sin? y) ft (30) 23 } ¥. ‘vo a : enon ii fiom, oe tid fn v ei iim bimpvie ; ary. a cine soe ‘ona on kk of alexi ave ond B bn ain read eee a saben | wet. donner nd paubag whered’ ‘mbes hnorsoxentae | cir idials te ‘eter 20 op’ oxen bile ww sacar calaiat é ex Bi svgiaa Pa toa o0t ee idigis wit coi | Mei risa xedowky ay | os fea wake 0 LI tt i ” hans See uid rand aye wit aa 1 ov , \y a ry it) sotgdene of Swaeteeee anoigaies #62) Jhohs Om BF, : (we Lehto ree Onl aertt . ee ow yokes ants aoe vet) * i“ uty ip «th (api Buedow bicvae 02. 4 ae WOR evn (ie ta yl te ks | eee Mo “Gn: au sia ett: ne oM at? Jah SGa ce? ae " mite ee) aD stank Al f Adiow iia tl cade 1 aay alas big ed ko 4 oY teicrgiul OL I63 4! aye ay paige Se en (2 | is 4 a a 4 ; a ft (asi | mn (endat Sore tele fen) 3 79 - ; enna "OA oa at fe + a i bo 7?) ay “win POL! eu, : * iat : ryan ne ee we iP vere) ee he " « add ’ we re we von ful The values obtained from equations (27), (28), (29), and (30) for a range of values of y are given in Table III. ZABLE IIL v = Sry Ym %m deg. sec” /£t £t £t £t 5 8.33 x 1075 1,600 140 1,595 10 16.8 x 107% 3,180 560 3,130 15 25:5 x 1075 4,740 1,200 4,470 20 34079 30 Ler 6,260 2,140 5,880 25 44.4 x 1075 7,740 2270 7,010 30 55.0 x 107° 9,150 4,570 7,920 35 66.0 x 1075 10, 480 6,010 8,580 40 159 en 4 11,740 7,550 9,000 45 95h 2x Lone 12,930 9,140 9,140 50 Tees xome 13,950 10,700 8,960 55 136 x 1075 14,980 12,270 ~~ 8,600 60 165 xLOnS 15,850 13,710 7,910 65 204 x 107° 16,600 14, 400 7,030 70 262 x 1078 17,200 16,200 5,880 The general relations for the faired cable configuration can now also be expressed in terms of the cable diameter, the free-stream velocity, and the non-dimensional cable functions. These relations are: 9 = 3.84% 10° Ibs (31) 2 d T) £t s,= 19.2 x 10° ie es z) (F) (32) 24 2? be Eka Bat 7 & 4) © EP > ae on ‘ ie = vi a 4 wr os ov o ces t= Ea* & cf ee a @& & 5 se = soo te ee Se = nserte “2s = a + s- ao ee A ee ee EzEs 005 .& ones Bt l CHP . wil a Ye | is oj7,5 OL EL Ota, ei eee ne OM by ie oto | OOS oF , a SOR RRR. le GnRH 2 oe a BRE SE fi - haa >f /. —- mA oe e lang ert OT tg ce eal a as | =, | aif . ; (te hParteetd 206r> B.C be ¢ ee on 4 aot etek Sldwe mid > Bie me ti orc vga ‘wth oni wo and Ltotied phdas LeAGA Mahe! solo GID) Daun rr. staal nsoitead \* 2 rn re tae iw, 1 i? by ie, tlie’ ie (fe) | > ae & } yy are i, gs mr a, [ 7 hgneepdi race” vis terk’ catty a. nt = ows Weed sie sire - ; mit pa hiadicns yea i), Wr ik oulav “Ahly iineaas @ 3 } 7 7 Ms. GSA fc sealhicaa ch o BX\L Oh ao ide Pd f wie, ages - | ef Mids beet Ng ptt BH.) 2 PS OR IR AMCLED MEME: wont Pie a, ae dh u ne oe et ae seipaitns a Mprehely fh) ‘ise 2 scat fe adoe ee en Se ee ee anny’ scene ‘ay or, Bb YiPeOe del Katy i MRD MAS et A BBO Gy ae mena nee we a a te wis “iy it /sead> -) a exe athe wel es): fui te ‘resin ani fe bg" angi i iw a ae ci saree) ene wea mele SUSAN, mee peat. p,, ina Rong wn wil & wie ine” fut ate ne OA he eer podeeunt Py: » 2 f Rees FO spuesnoyy ut TA Sie L 9 S mm as es Ty 321 a ee on oy 7 oa a a F eS ue coer arte See ecrcate dee taet ae na ateaat: wal is 4 i f LH pop ee Heiter apn ‘mms jos om a! + a SBE ; 8 it a ea A ja om + iat eee sees ro i oe SOS RSASNaSP od oh +t aaa in ire ogee oa! uaceeae t+ caus pesue seuss aeec-st a = saga es t sme ms ph + =f tt 2 1G Ba as path t emer ge geesceses ry ‘es HH t tet +Ht 3 i c a sae - : . t +i a the { i i ee Seed ee Hee eee eee . 5 Li vase ois i Lt Mt a aw + 20 bi Bueb aasoE Saag AMMA MME rT pis sb: eupe suas 6 ob a SO bart i See ee mae ~ aes ne nee caeene a ere rt as ees C ea Sutacieae ert + : t i punen I+ else et ro fe BES emai Be aacena Ret oh sees sgneane eae Leta: (ERA seam ee Be Bpad HALE RERSSY PARSE Bae E a Oa Be PRS Sa eee fhe ae uNwTUTu fr p mths a hoor Soe 1 Ro £ +44 pagan ewe: ttt pt Han +H a Giiine aifaet Eatin stati ul ae oe t Hoa a 44 eaee aeeee + A ne 4 + 4 Hieeauetrntis naa ae He tft Bing es + 1) Ssdaaaaiit iss ai ee oeeo cae! He ped Hy + q ol 2 ess! rt a Hf rH mm) 10} oO U4 Wa te) a OO S fc v2 3 Q te rs) Y, din : ge -ruft? Haat isaat feet £ 1@} nousands } i Pn st 4 qeex FO spuesnoywq u Wrath og ant y : i | ees ary Lik Zllustrative Example To illustrate the use of these results in selecting a cable configuration to meet given requirements,consider the case where it is desired to attain a depth of 5,000 feet at a towing speed of 10 ft/sec. Unfaired Cable From the curves in Appendix II we can determine the £ values of qe and S, corresponding to a value of y, = 5000 ft for each value of Ty These values are given in Table IV. T Iv gd x 105 d a 8 To Om 1 ve a= 2 sec* /it £t in. ft lbs/£t? lbs 225 .0225 .270 22,500 (8) 9) 40.0 .0400 . 480 13,900 2.06 3,300 Ale 5 .0715 .857 9,300 2.54 13,000 114 sigs 137 7,000 2.64 34,300 166 . 166 1.99 6,000 2.70 74,500 These results may be cross plotted and a particular configuration selected on the basis of a compromise between the length of cable required, the down force required, and the size of electrical core desired. 29 ced iv? Pty ee aby ; i ue @ntsooioe ‘al 1 esse a te wale oid ae ‘pita eubtabwn tape 2Ape% tev hy 2008 one ssid aha s PS pa Sow OG0% ad dnd ry nner ay cde bal fy pee =" rn bik tel 50) er eh ou sia. dela pit entrain a. o 2h a benya Al Rei RgE ote > COVE Oy Ser ev thy a OS Pas baggun coy @ Beco ss 204 et olde? A; Vevio vas heuleV eeant whee wea ¥ ee Aer a | wilt rey o Ree trio om eee wel ) Ad Ae of path late ; Rahs, : ie ; ceewiet otic W) Te bh ee) Shuey ‘plat Lae pune a] pind OF fie be cduped sowed gyeb 4? , be Le AS 2° HL QeeR (Res. at.. & ci aa ea ote ou. a Bed Faired Cable In the case of faired cable we can refer directly to Figures 5, 6 and 7 for the maximum value of y, attainable toh for a particular value of ve" In this case we obtain: lbs £t* tk ze = 1.14 x 10° 2 a MS) se qj SSeS Zt whence: gd = 0,042 £t = 0.504 inches T> = 2010 lbs s, = 6200 ft x, = 3500 ft. There are other combinations of values, obtainable from the curves in Appendix IV, which will satisfy these require- ments. The above values, however, represent the minimum cable diameter for the given depth within the > limitation of a maximum tension equal to 1/3 the breaking strength of the cable. 30 v ee Yiter i @hkek, cam ae mde base ‘ne oe rage o ithe Pee % % oy las nian nae sits was) ua ae suet ane seen wed ik ce ‘hap ater hintsaba asd a Dee sore c iS ¥ mec wierd Ape iv w@ThODo’ oe ‘ ES ¥ g ‘Ss n oh cav,0 af ecsd.. : TOT ve “a ™ } ; é # ie J oO NP EN Oe ee a i nae ie Z ed oe oe ¥L00,. sot 0 Motes BS Lee ae OGLE 2. 5 O6e%,.0" Hotes) RhRELS whee Lt HF L',.6 a ei ,4a0, 4 aeary., a wed, a. YLve.9 Tes 6 “i “9 tengo ee ee aon feat”. eatiyo | ee ea a ee re ~ \ ote mae teat thal mgrerainnn tee ae We on Ly) eA Pri hOeR, d PUES, § Cae yo, OVER. “ VQO8 . > ALOR. oO Dnt Otis 1 ii 1 , 7. ,; ; fay ten so dnageln . \ ae i \ i ; er et ar ed ‘one ade. d gett, Me Cages, ” i £0: me a ee nye Nees OR a0, k ‘COL .£ Shade ft i is ts " : aT BA gs) Letos ofthe fo wher Lakseqs / i cry : oo kt. Mike ale To x 107° coy Ty Oy Na Ey d? Y. Xa 8, Deg. lbs /it? £t £t £t 15 =~ -- we ae ) 8730 32500 33700 16 1.4019 7.9397 3.5062 6.7658 2.74 4310 6170 7250 20 1.2457 4.1057 2.3590 3.1082 3.083 2420 3190 4220 25 1.1835 2.7569 1.8507 1.8594 3.24 2000 2010 2970 30 1.1481 2.0741 1.5378 1.2527 3.35 1710 1400 2310 40 1.1041 1.3296 1.1173 0.6394 3.475 1290 740 1540 50 1.0747 0.9020 0.8173 0.3356 3.57 974 400 1070 60 1.0520 0.6057 0.5756 0,1648 3.65 700 200 £736 70 1.0329 0.3749 0.3670 0.0667 37d: 454 83 465 80 1.0159 0.1788 0.1779 0.0157 3,78 224 20 225 % = 20° 4 = 71,5 x 1075 sec Vv" ; =. =—6 x 10 Pi T) Ox Na 61 Y xy 8, Deg. lbs/ft* ft £t £t 20 -- -- -- -- ) 12400 34200 36400 21 1.5794 6.8861 3.5481 5.6003 2.43 5470 8130 10400 25 1.3580 3.6036 2.2968 2.5664 2.83 4040 4330 6350 30 1.2685 2.4378 1.7649 1.5294 3.03 3320 2760 4570 35 1.2166 1.8376 1.4444 1.0222 3,16 2840 1920 3600 40 1.1795 1.4496 1.2091 0.7139 3.26 2445 1390 2935 50 1.1262 .9523 .8605 0.3600 3.41 1825 730 2020 60 1.0867 .6273 .5955 0.1725 3.535 1310 364 1378 70 1.0543 .3829 .3747 0.0686 3.64 850 149 866 80 1.0260 .1806 .1797 0.0159 3.745 417 35 420 35 : 3 a ee ee et Weneetlare winner ane ate : °. aed f it Re id Se emg te _— png aa wi i" ij i a LF : f , t ae. ae a ' » iva 8) Ee a Gene Aw “as tome ee ee ee ; ; ¥, SeP\adbk oo Dae Se ee . ee est atin in shee le hie W439 GLiw icone weonia ‘paoe. A radat : e iw Et Otes : Paty i SRR Ts ‘AD wee ie “it Mas, | Bits bes. pe nen, etn. 1 R (Oe3.. nee” BIN) ie SERA h | ER, A Bp | ; PED 'STb.4 Tie ie) Chee i. Oe ee Tew’ -ORRG Oo . EVAR KG Get, Gar ee ee ee Le e ' U 1 tu b&b att sft \ i ai. RO ere. hie si pb aotl CORPSE Sosy, Chass = ante 8 5, ae . Wear SULA ORE te Sages LBae peeminn EVEL | Os Gath Gem. * oe oo Pare is anes ee Bae | Stee COS ONE } ese ee ae a a cae a vA Dee) ‘SaWae hae heb a eR, j SG im ORR’ Chi. ee: CEIV.0° “Leet” ee He or Mak. O58 (Pci = eyed wy oiek , 2 roam,” Ree. io Rena A ct — vit ee ag @eOd iva, - (if, | aoe. eal bf og,i HST, 0 COU. POR RA ot) © whe mie, PLO, | Vel Re. . vir | Te sa ey nage lies saianaie we a ee ree ee apa hy Aa Tm pA IR, whe - i fi i i i z I } i | ye p « 1 i A Pe i ; & 1) Poel ' ao fo Cre eh Y ia) A Pa pv VP. Peer eer eye mye ae Pe, Peay te Aad Mi e da -s sec™ Pg = 25 er ee ft : 3 * 1 91 Ti Or Ta 61 Yi Ry 5, Deg. lbs/£t* ft ft ~~ £€ 25 -- — = -- 0 14800 31800 35100 26 1.8528 6.3531 3.6828 4.9197 2.07 7250 9700 12500 30 1.5126 3.2795 2.2684 2.1915 2.54 5470 5290 7900 35 1.3784 2.2044 1.6964 1.2816 2.79 4490 3400 5840 40 1.3011 1.6501 1.3607 0.8407 2.95 3820 2360 4620 50 1.2030 1.0282 29256 0.3375 yap be) 2850 1210 3120 60 1,1361 ~6581 6241 0.1837 3.38 2010 590 2220 70 «1.0838 3939 «§6..3844 0.0713 3.54 1800 240 1330 80 1.0395 - 1830 ~ 1821 0.0162 3.70 640 Sy7/ 642 Pe 166 x 10 €t —2 x 107° Pi. Ti Oy Ta Ga d* Ol xy dl Deg. lbs/£t? £t £t £t 30 -— -- = == (9) 16100 27900 32200 31 2.2478 6.1162 3.8988 4.4917 Loy 9200 10600 14450 35° -Lovi2s 3.052. 2.22579 1.9047 2.24 7010 5900 9450 40 1.5116 2.0163 1.6326 1.0794 2.54 : 5740 3780 7060 45 1.3983 1.4872 1.2767 0.6881 2c¢5 4850 2620 5630 50 1.3187 1.1444 1,0247 0.4560 2.82 4130 1840 4610 60 1.2058 0.7018 0.6644 0.1997 3.19 2920 879 3100 70 1.1236 0.4089 0.3999 0.0748 3.41 1880 350 1930 80 1.0572 0.1862 0.1852 0.0166 3.64 930 83 935 36 4 i ii ; ) eet al \ : a Copa, anton le G55¢ eyec.e. tee, “Meet art ° NBOI (eee, Ree, get, CLyD.0 BORE, Wee OF.k “SOROLD CORE, ‘ORR os ( . Peg 8) ; ( ne mr ee er ek ene ell emi A rie : a | | Bae, pe win et alam nm . se eeepc Nimmera e a ee eee i if Cait | mL me +- oti P Pe | (4 mente naam sy mk te en ete + > +o Ge. ; u - * ellen eiraieeiedl ae A AT. mime a ; >. : oe pak eee oF ah ee Ce i ast sete. Seba 7" Ping 0, eRe et ae) dade at Hebe Ul. & Atay 0 ety oh ; @. ee Me TO.O) -) CRE LS, be, t Ain ke it 7°) ae: ‘ « . aieany «yams a eee i a cp ge em et om ion’ ieee tee < e : IS ee a en ae as -s sect % = 35° SS = 230 x 107* = -= «107° Px Ti Oy Na any d Yi xX 5, Deg. lbs/ft? ft £t £t 35 — -- =< a ft) 16900 24100 29400 36 2.8043 6.0705 4.1902 4.2030 137, 11000 11050 15950 40 1.9617 2.8751 2.2513 1.6638 1.96 8450 6240 10780 45 1.6645 1.8482 1.5626 0.9025 2.31 6920 3990 8170 50 1.5024 1.3334 1.1844 0.5534 2.56 5800 2710 6540 GG) 153053 ..7G46 .7a22 “0.2232 2.94 4070 1250 4300 76 i.k776 4269. 2.4192, 6.0797 3,27 2620 498 2685 80 1.0795 .1902 .1892 0.0171 3.56 1290 117 1300 2 = 40° G_ = 309 x 1075 Sec- Ve vz £€t T 2 =-6 2 x 10 Pi Ti Oy Na Ga d Yi xy S, Deg. lbs/£t? £t ft ft 40 -- -- -- -- 0 17200 20500 26800 41 3.5754 6.1516 4.5467 3.9821 1,07 12600 11000 17000 425 2.2567 2.7156 2.2331 1.4427 1.70 9790 6330 11900 50 1.8296 1.6819 1.4758 0.7395 2.10 . 7980 3990 9100 55 1.6044 1.1795 1.0770 0,4310 2.39 6640 2650 7250 60 1.4534 .8589 .8088 0.25912 2.64 5500 1760 5850 70 1.2495 .4562 .4456 0,0864 3.07 3530 684 3610 80 1.1087 .1953 .1942 0.0177 3,47 1735 158 1745 ae hy cian! Bee a see a yom om matin in: nnn mgr + ites ee heat) bade. 9 Soe. aud) ea a ee Shek) OO bk BERR eRe, oCar: (Oste . rts Bigs 8 cee A alti ; eerie OTS een. | een SCHR ie OSs Glee pes ig Gh em. oe oh.) ee <4 an rite Hh ease do.¢ TAO! gas, Se eee a ee Oe ee ev a solieealieeutinaateiel hth ts ail fg Pp pment IA er Woche typ AA map i ie Ped ex: 9G d0x ORE 2s v ed ee” ie? sh ecore SObiz Coars Pot? (I6RH 8, NNER. Geel oe | wets Apa meLD eee | ‘BY + ~~ 7 co» # : } ‘ r \ ue On FA * f By vy 1 eel Shieh’ oper : | Os P S : . nex re : ‘i 7 an ae RY La i > f , # a ; N I Gout bald Oe 02,8 Poe oh ALY my : & os a i oree Gell oped it Tee eae) 1 Ulex le OF a Ta, k Lae, & ; Dp Pe he i ; : y CO Tepe dl tai i et alti Ne tt lg mee om 9 te ea i =m _— itiihirs A i ‘ rind pve temas 2080 emg Nl areata Ree ee in pa ee ae Se an, a = 45° G.= 405 x 1075 Sect Ye v2 £t Pea) -6 Pi T1 Oj Na 6. So x Ya x1 5, Deg. lbs/fit* £t £t £t 45 -- “— -=- —— 0 17500 17500 24800 46 4.6219 6.3013 4.9439 3.7710 83 13850 10600 17700 50 2.5954 2.5457 2.1843 1.2247 1.48 10900 6130 12700 55 1.9932 1.5034 1.3621 0.5847 1.93 8850 3800 9760 60 1.6913 1.0123 0,9491 0.3192 2.al 7280 2450 7756 65 1.4950 0.7084 0.6800 0.1782 2.97 5900 1550 6150 70 1.3512 0.4947 0.4827 0.0959 2.84 4630 920 4740 7> 1.2385 O.4332i 0.3279 0.0468 Sioa: 3430 490 3480 80 1.1460 0.2019 0.2008 0.0185 3505 2270 210 2280 OE ce tye) ca ‘Wea RRO La | #8 a et = roc ae) ee 6064.9 bent > Oe Tee ® =Spee..o) erg © L¢t¢,@ bocg.F GiGs.o0 APPENDIX If DESIGN CURVES FOR UNFAIRED CABLE a a AGHAD GSRLA WA Ad RAV RIND Mapa U ‘] A ah a! , ivr! i al eet y BO ON a ON a een rae eT ee eens CMe my es MY POUT AN Sg Te ae spon naeet Be Bol eh wo hae ee basso aed i = *- ¢ a ee - 4 ‘ ~ Pesci kage pnd ne fy 7 ; i tA) aah lan , cae * d ¥ ' i H T iy ea Al mriery ie ‘Oi: Ls Ee On ls we is ay oy Oy Se eigen sible ‘ore oo fi ‘s +H cai rot = joy ceees eels eet £ he thousands o£ i 4 a a oO G fia) 4 mN nn 4 % -- bel Vy ae Gea ETRY sehen ate opm aoe y Seow JL ty 0) ae wee, - spuesnoun ut 's pue inoG aun! LH aren tia $b peenaguecenaes tl LJ aul aa yy. =’ yy * ’ } . { Fane a - j j ; : a oy TOTP hee eee a Pa Witte ond ay a d be es an Mids wees ; ie eM id a oth Pehagen » 1 @ ae a a , beak ~*~ ; ee ; f ise ; ( i j i ik i amish Sey + b 5 pmo! - * —— , ‘ ’ ¢ ' qe0F FO Spuesnoun ut ™s pue TA * Tx 2 = rae ene oe Z “ = $54 .@) Ea ie) thio tT1C a Me eal € wn Hee a aa +4 + + “i SARIVOSA GM LEE doa 9 Be 2 a OLE We WR 2) t ete (ah + joae aF i Se eae @ eae as Parts! OF fe cap alee jouzear 35 a0 44 ee aR he 3 Saline spunoc a a Gna esse ae a ae iar uk ies] 1 . rs ( yi; \y e , Sohbet ig 4 Poe ier Lae 1 ches 1 A on arn | aie MOTT LT aa) eed Le eRe |, Se ay Z 4 WS Ake) ‘, 4 x) : a oar anf (Peis re she fe Te a; ey Nae T ye SY Hels | sg ius ' ie 4 A AD OE nee rs are m-th, oars lia Fut (Be 46 Spunod " O_ wT bij hile th ae 4 + ++ Pod 4 c & a 7 goer Alias Sarat i (ae ee ia a ; , aC hay iy btn Pees BAT toe ll am ert de oe epee 1k: SUnam mR he att eee ite rts ‘ad ov ee ei ; ROAR : } om ie ay b ae) ty Poh phy - a veh ty 18 ¥ J iH : 1! < Bet ha) i ; ; ua i! ti or welys f ce ee Leis Le re Gh Ne a a Cer re Vi, is ry We ~* f ia 2 Sap =| ld ph teilin we be fy. ae id ot wiles ? Seat a: coitus —— ° #, . = r -- ‘ a * A ‘ _ e : — Se ———* ae BPN > j ; ‘ r i l 4 if \ ( ak yt : *\ i } ¥ i ‘ 7 i ‘) » | ; + YD tileg . Lh “1h iJ idee ay tN +73 Be Ff a" \ ! v j a¥ * J ’ : BS i a ; MA : k > ; ‘ i aa ase q \ 4 ; 7 : a ‘ ‘ 5 j 4 - ' r ‘ ‘ r y, B! if 7» f ; ‘ ‘ \ bs =e ‘ rl A A ‘ ' j : LS L i : y i 4 A ) } ’ ' ‘ ‘ ¥ 7 P i ’ 4 ¢ : rah “ t ! f _ ‘ ™ 2 ae 7 “~ \ ‘ \ “4 | oma) ~ , ., t 2945 °§ a (sae. fei) Wile r > J J} ig ; oe ‘ : j Sn Bere iii a 5 ey lis) ey eee ee fo ee er Beem eee 3087 JO spuesnou3 ut * ™s pue TA He yee sc Bann et Toe ria Ba Frice Beua ON 2 fo) ry sputisc ise ey ase cae Wale) ae ee bere ous! Cals : ay 1 8 om ; Tee i ‘ aT eT aTA ) a ibe iy" i ine it rat ‘e 5) ( ¢ iy d ‘ Me f iy re. Aa Ahi e i : ’ . , Per a; d6) m " i t ad i Mi La y x : ly io she 4 ple Hi ; i : - OA aw 4 \ se ew pa ; oa?! oh \ poy. eer i Phily bi be ge 4 rf eit ; ies or ) [> pom , 4 m rs" | . i Lay ; Le ty _ bey Shi be ; i eae St a » ‘ SB ps ae a i ‘ iy «ty Veg + wi Ware aa ' , : mit .) Bay hae co | . & / t th o4 i 1. 4 5 { ' oes 4 “ ~ ‘ ' ri ve q ; ney © —s — sa z i yk 4 i nes el te ‘4 ‘ a ae i ae Get) 4 4 Pa! . bat j : ky { jal ‘ , | \ ‘ Ly oleae pd Va. ew * oe ‘ 4 i \ ‘ ) i tT "ih ' - + gee ® Pi £ (a a j 4) Pe + - Ash > ‘ - { iy yi File ‘ ¢ i RA ad [= ‘ » j { : a" ‘ J 1 a } ’ ‘ ‘ > 1 Ra vers ; ' ' roe eres 3 i ; " at ae. ’ * Pt - \ , 1 4 1 month a | PRUGR Ms tho } 7; Ped ) eee | % AE Pe eRe eS: PE 2 REMI ete APPENDIX LIL TABULATION OF CALCULATIONS FOR FAIRED CABLE | Pena. ; i i f at es : Li. Xi Gia , : TAT i) . Was GAMEAY ROT CACTI TALUMIAD 9D | Le tie va, ee on y ; vo Puy J pitas biser aeie hy ok ae =a5° 4. = 8,33 x 1075 Sec . ve . £t =-6 Pi Oj Ey Na IVA a a* 0 8, Xa Yi Deg. lbs/£t® ft ft ft 5* <== oe -~ = ) 1600 1595 140 15 5.5413 4.4993 2.7138 .175 672 1552 1260 760 20 3.6169 2.6594 2.1655 .260 998 1504 1106 901 25 2.6397 1.7556 1.7953 .344 1332 1452 966 988 30 2.0413 1.2241 1.5206 .424 1.63 1385 830 1032 40 1.3303 0.6388 1.1186 .576 2322 1226 589 1031 50 0.9055 0.3370 0.8202 .710 2.73 1029 383 932 60 0.6081 0.1656 0.5777 .822 3.16 800 218 £760 70 0.3760 0.0670 0.3679 .910 3.49 547 98 536 80 0.1790 0.0157 0.1781 #£.970 1G Ie] 278 24 276 90 0 - 0 0 1,000 3.84 fe) 0 0 ey Gia -s sec” vy = 10 ve 16.8 x 10 RE 2 -6 Pi Oy Ey Na 1/t, ane a Sr Ant Deg. lbs /£t* ft €t £€ 10* -- -- -- = ) 3180 3130 560 15 10.9142 9.4884 4.6189 .089 (6342. 3130 2720 1325 20 5.3292 4.1497 2.9580 .177 .680 3040 2370 1690 25 3.4485 2.4085 2.2487 7264 1.015 2930 2050 1910 30 2.4935 1.5600 1.8113 .348 1.335 2790 1750 2030 40 1.5087 0.7481 1.2561 .508 1.95 2470 1230 2060 50 0.9848 0.3754 0.8888 .653 2.51 2070 789 1870 60 0.6428 0.1780 0.6099 .778 2.99 1610 446 1530 70 0.3889 0.0701 0.3806 .880 3.38 1100 198 1080 80 0.1819 0.0161 0.1810 .954 3.66 558 49 556 90 0 ) 6) 1.00 3.84 fe) (0) ) * Special case of cable towed at critical angle. 50 UN meme aha (tem Yond peroneal 9h miami ; SUESE ROW 4 0 gait Ne | ¥ 5 . ' a. Li - iy ; ‘or eens bas eyes GEL. 8) COR per wR”; GAG, Beek Veta. eM ther RRGk erent: ie ee. te? ea ats tad age. e0ta.t LORG ed : BRS)» 48-4 we. @0L/,4 Sata. Tat A Olt. cera. .eveee cov Sie we Ree. ! TSSES | eadl yo tee weit OLe, tet 0 GVe0.9 “vt ise. ove, Satz 0: Fels, 9 0 ) Se, O00 ,k 0 0 ar’ . di” wae . I ty Tp 1 alan | x 8) * te P| _ i . rr y or: ’ “ - Vu ") Se eee), pede cT™M if ié aM L, eG Net deri Sots en A 6M 73 Ariel ty A sim ramen ae emails lt A Ce A i Mt Biss EES ACD oe ee ee Set Git OsLe é vw 7 “a Sofi OCRTER ONTE che, eno. GALa»:) Saebar G20. ote oboe Ge. SWE Ones i Gel GEOR... OLes £504 OS a C2 Gh ey” Geos, Oet1 beve 1 ae | aha, . 4174, b, OR Caos Offi = OVAR be.) 1) bins i ye" Over esi ovon ee tia, ace) eS Olas Ob Gist ee. 4 WIR AN YODA OTL. 0 Cacti evr . 001s aL.2 Ua; tS 0 pee . “Gh Get PT be Crete. 0 Q 4 0 aa .t Oo)! Bie 0 a Lae bwtak to ta Gawd e)taip te ein saisogh ad Oe . bs ¥ oe oh ae -s sect y= 20° 2 = 34.7 x 1075 S86 7 x 1O-* Pi Oy G4 Th AGT a? od x) Vir Deg. lbs/£t* ft £t £t 20 0 0 (¢} 0 i¢) 6260 5880 2140 25 9.7718 7.7999 5.4469 .093 0.357 6050 4820 3370 30 4.6864 3.2673 3.1439 - 185 0.710 5770 4030 3870 35 2.9742 1.8183 2.2324 e276 1.06 5460 3340 4100 40 2.1046 1.1265 1.7060 (2364 1.40 5110 2730 4140 50 1.2081 0.4863 1.0798 abysi3 2.04 4280 1720 3820 60 0.7310 0.2102 0.6915 684 2.63 3330 958 3150 70 O.4195 0.0774 0.4103 -816 3.14 2280 421 2230 80 0.1885 90.0168 0.1875 ~922 3.54 1160 YOs' 7 T5090 90 0 Q 0 1,00 3.84 19) (@] 10) ° d =5 sec“ y = 30 Vy = 55.0 x 10 rE TS o -6 —= x 10 Pa Oy 61 Ta Ir a? : Ss, xy Yi Deg. lbs/ft* £t £t cc 30 (¢) 0 (9) 0 0 9150 7920 4570 35 8.1400 5.7341 5.5470 101 0.388 8670 6110 5910 40 3.8201 2.2827 2.9522 2201 0.772 8110 4850 6260 45 2.3659 1.2051 1.9761 299 dh aS) 7490 3810 6250 50 1.6276 0.7107 1.4338 395 1.48 ; 6780 2960 5970 60 0.8660 0.2612 0.8156 ASU 2.22 5280 1590 4970 . 70 0.4607 0.0874 0.4501 ~743 2.85 3620 685 3530 80 0.1963 0.0178 0.1952 .885 3.40 1830 166 1820 90 (0) (9) 0 1.00 3.84 0 0 (@) 52 ef an a nid ; “oR - $% ee - OCS ONeT gia Gite ease cet Guse Croce Rie over Otg> ace JOCee ts BOL. od4 i] 9 Le Rat Gah. pbb Tilia 4 1M A we Spike an ee #s weet ota Ofih CEM ast? det Chae ESL 4] SOA mt gan lia a + ai 2 pasts Ce <—ptbie Gene oe em i eee eee a ) eee -~ 4 enF 0 ec ee irre tr me ee oe opi nM ry rae es SS. spe, vo. ‘ 4 0 u een ehanceng villian, § A. yt tee ae A I a Pm pt th OGY eG hie a 6% 4% Reh. oie. S. ARAReS & eet adie .G -RiOR9 LGte 0 . TPO0,8 QO. OVle.9 A het ia A ie goer. 0 Pe ey ect h Vel a ae vlads hn : ie aie a ee od. 7 7 * . y ih See A ee cme gar a) Ae Vii eg hig oF re . | 7 i La hs vi euuh ih d\ aaa T 2 -8 x 10 Pi Oy Ea Tha l/t, a? s, %y Viz: Deg. lbs/f£t? £t £t £t 40 0 fe) fs) fr) fy) 11740 9000 7550 45 6.2147 3.6774 4.8999 .114 -438 10870 6420 98550 50 2.8356 1.3707 2.4318 .227 .872 9870 4770 8470 55 1.7035 0.6729 1.5334 .338 1.30 8840 3490 7950 60 1.1198 0.3606 1.0476 .447 1.72 7670 2470 7180 70 0.5239 0.1032 0.5110 #£.653 Zao: 5240 1035 5120 80 0.2070 0.0190 0.2058 .839 3022 2660 244 2640 90 a) 0 a) 1.00 3.84 a) 0 0 2 = 509° G. =» 113 Seco id v* £t T _2 =6 0 Pi Oy #, Na l/t, a = 8, Ky Y. Deg. lbs/ft* £0) ft See 50 9) ) rf) 0 9) 13950 8960 10700 55 4.2453 1.9630 3.7028 .136 .523 12500 5790 10920 60 1.8509 0.6651 1.7090 .271 1.04 10900 3910 10050 65 1.0496 0.2911 1.0007 .402 1.55 9170 2540 8750 70 0.6427 0.1340 0.6255 .534 2.05 7440 1550 7240 75 0.3937 0.0584 0.3882 .658 2.53. 5620 834 5550 80 0.2233 0.0211 0.2220 .776 2.98 3760 356 3740 90 9) fs) 0) 1,00 3.84 0 0 ft) 52 ib 3 “ha wel BOOS.) BERR OS 0 v ai ‘po.t § is) i OF ‘ hi Ae a CE SO + = ee he IE le em Trek 5) ot as —— nea — f | rong: see \ on a iw aa lS ee a alee. tee ments hg ap x ee LYaeiae Gere fein Orse ge. s tnd oo, 2: Aree Ai LS a os bee EAGH.@ . HehGye® Gabe 82 ogee 2.6 stg, 93a. SUeeLO eave ete Gace 6¢.% art Ooca.0 [400.0 6 9 0 née .t Or 0 o Sz >» = 1 ae ¥ APPENDIX IV DESIGN CURVES FOR FAIRED CABLE 53 A ny, eh ‘ U7 ho Wier aA ‘ it ee 7 Wy) RY ADs, e 1 OW RAISAS JADIMHOAT THIRARAZIO NO A.2.U WM! GSTHIAY evolelvid O8! YE OS! e2YAW HTOS HOW! AAN @NOl2IVIA OS OLED OU OD AIFAS THIAARAZID Pa EEEEE EEE * EEE agai ths a. — es ea AT ote Oe LE a eS eae ae eee Om 1} it on Pa : . ; ; P ies ' i - a fd x s : . y . ae f rT : wed hi) 7 ; sal mia = ay 2: J Wie ie AADC Al cia a SAT RAL iby a Y i. an ‘ aa ; ’ atl ss i 5 twas r vi Ww 0 uy te thre N ¢ ~ -- sprmoc vo ¢ ’ Te te. os Nf, A a ¥ dbty ,, tes. af aa atl j oe ir ¢ rity 0 Lt - ny yi" "4 f al as be My: 4 et halk BA ey | pa at - - 4 PER ROAD a! Pies od I) DART) | i: el ni { i , eee cae hs i et f v4 ; ee. i t mPhnay ? 3% aie f TSAR dh c4h cosh: 9 ghee oe gt shies ets amet: ls Te TA eet AL P A a Piled taht a Mirehnts (hey See j 1 s pt sry 4 ae Be re, oe f ., re ea iat ee . { Re aay Oey CY, ae to coe a ey at aca wee 7, f mah Mav) ONY ae he i uy Ph, : : Apa) nv if 4. pee | \ tr he OM F Lt : : a MA, ah hs Ls ¥ “ 2 . y i ; : yi } 7 “ale? By 4 sf § paps ea te a © ho Mie +> i = | rei a Bit ify | ' is eo gis ty ; uu Abad Masuloee ack is Sb abt one FT The Me ep A ( tt ; ‘ Cay aT" , i ohne Fate ae rr Ps 4h i? : 7d ¢ a) ; 1 i ah oSyy ify § | / toed é air’ F 1 OG if oy + i? ie : i i i} I at ? Ps Vel Ph Aare, mS 4 é ‘ire : ply ba fe ie x A f Vata oO : ; a a ; ' i} a } f ' bef! Pe | ’ Ln } j hi ates ' , oP ie ig a 4 se ’ “ets 4 4) ; ; =? r 5 +e 7 } si) > » ae ee 4 aigl a nes Loh i i’, {i \ ; awe Th, t ' f > ra 7.) 1p ‘ id hy ‘ | Ny os \ ea Rae.” ' Lean * hee P bob pee oval QW \ } st ? i { pe i | io) a es ‘ \ ay” i ¢ Ss iY \ aay ! +f te pope ry = » ' 1 5 | { ; + y 6 ‘ | ‘ n . ; l ” . . fens f r ‘i 4 - \ : i oes a 7 ’ : ? ; ‘ a es if % c bo ee Cee ee ka ¢ ot ” CMe Mee Aalst a cinnee he Tiedat, (tel , Ti ae wig i \ . unten vee i : : r ig: f ee fee “f ie : foe s Sohomtt rr i patra 4 a SEES . PE ; ! ct saetcuietcagetasiit gis une 3 asueeueGes H ry oH ee apsters eae =. Sane tt =. { 26 B refit iE S500 CUE Re Rew bey a ot et a na Sot + etl ff Bea 4 na t TUASAA PRR SaE Gane pia a aoa BaRaRy aan rae: er . 2 ne a ee he FETE Grain Bn atl H ett a Hai Hi Eee EEEEEEEe ae {eSB er = =. —| Poet an He 4 7 inet fee ob line Tt coo 4 A E SINA0d Lie ciniaeae Le a srt o 57 EGE F- JN JHOCUSAMES OF ant ees use vo soweinou, Wi ''S CNY us 74 f O/ Le ; ata ++ i a ass 2 ae { + 400 bp + y sauegued soesaeeaer ies Peer i iubon- “sages gguseuseee ‘ Ty : E et aI Fer ai 1 ae sosoo% pret rage See ett engusn Ht +H + i t 7806 aage t : et naan ae i Sse + jet Te REGGE amt im a it LE H mame HEE | : : E ioeuceue at | > a + amt T r i =p =| B c < t t - Sot : t t iSaceae : gas a ceeeenes F p = 3 i: + 1 at ae 1 t Eee 5 a are : f a n atte eee ee “LEP Hefetetetetale > 4 qt o fC t - + i | i b 10 et i : . t : EERE t }- + +++ + > . z ms ag Re b at LM Ht op { aaaae Soewmo aes ’ eu-i-a- a0 AREER SEE 2oaed soeee Be 5 a . Ao g ie 9 BegeeuBae : + agua : ae a eees Ae Avge yh ee ait Bhs ASR ae. eee eee : rer? , i mir oF [ ua d ne ’ : \ 4 ‘aes At | - A , 4 ip! 4 : gel f ih bry » in, a 5" } ice i‘ | ey ie ee call ine bh At 7 \ ah i Mat fom + i : . a ; Ke 7 ; 1 : ‘1 ‘ , , «oh i) » aA j 7 AN é 4/ t; 2 J | i i] i ? + ’ ; 7 Lips ay f ie - ays re ; ah \ } a? : Uti b Fa ' 14 ‘| ; ie » ilies SL gitltihaor te end a ‘ j ‘= ‘ ‘ ye 4 ee 7 be | epee & oe! Th 4 Pre “4 t ; - 4 3 a ; o- nen jee L 4) b i, 1 a ad | ‘ Ta ' ' \ Bs & 7) —> P ! q A ‘ > 1 : bi) a 7 i: (metatie} = + as 2 " ‘ ‘ oe il | i , i | 4 * wh > bio a! } ’ \~ “)) } } j | hod : wet i y ” ppeem' i} , Lh ‘it pay" qees 50 spupsnou, ut ‘ts pue ‘A ‘ tx ] = tof: prsceee Seeuneease: : aga] cescbeeee Safe ies sas ++ ett + + aa aaa SesEe ann Sones cones sui eSuine a ee ue Sean te GN bese 4 se iSOeS as MA - geen f. ae + 4 al LLM seo ac ar oueal It suns BaeG BEE 8 io & +t naa Des rf at Spt suseaae sous nae ame +4 faeaeel t+ a oe ae Tit cae ce a es f ten Ht cs . t tr pau Hon Hy AH t tr 35 » tte. TT aod oe + coer rts aie a panes oe SSees + +4 +44 at ~ i = pent aa a sieges ce HE ese 1 fel rt rab Sa ees out t pet + 51 mB Be eae +44 ‘gas Hae 4 ++ ing as reece foe rt tH eet ne aS rt ae i oul ie ange BASHRo Reo waa aes Bes Ht ee fel he a ytd ae Hit ate Sesauaee TE oy: aearice: iat Hie ae Janae Maes o: SS SO ak a a aw U SERN ase Snscdeusss saneasse TO >= AeA oY way? Fadl Fe “ely wn eke) DISTRIBUTION LIST Reports Generated by Systems Engineering Division, PneumoDynamics Corporation under Office of Naval Research Contract Nonr 3201(00) SS eee PREP Office of Naval Research Washington 25, D.C. Attn: Biology Branch (Code 446) Surface Branch (Code 463) Undersea Warfare (Code 466) Special Projects (Code 418) Acoustics Branch (Code 411) Fluid Dynamics (Code 438) Contract Administrator Southeastern Area Office of Naval Research ' 2110 G Street, N.W. Washington 7, D.C. Director Naval Research Laboratory Attn: Technical Services Information Officer Washington 25, D.C. U.S. Navy Hydrographic Office Attn: Division of Oceanography Washington 25, D.C. Chief, Bureau of Ships Navy Department Washington 25, D.C, Attn: Code 671D Attn: Code 341C Attn: Code 688 Attn: Code 370 Chief, Bureau of Naval Weapons Navy Department Washington 25, D.C. Attn: FAME-3 RUDC 252 Commanding Officer & Director U.S. Navy Electronics Laboratory San Diego 52, California Attn: Code 2250 Commanding Officer & Director U.S. Naval Civil Engineer- ing Laboratory Port Hueneme, California Attn: Code L54 Commander Naval Ordnance Lbboratory White Oak, Silver Spring, Maryland Attn: E. Liberman, Library Commanding Officer Naval Ordnance Test Station China Lake, California Attn: Code 753 Code 508 Commanding Officer Naval Radiological Defense Laboratory San Francisco, California Commanding Officer & Director David Taylor Model Basin Washington 7, D.C. Commanding Officer U.S. Naval Underwater Sound Laboratory New London, Connecticut U.S. Navy Mine Defense Laboratory Panama City, Florida Attn: Commanding Officer Commanding Officer U.S. Navy Air Development Center Johnsville, Pennsylvania Attn: NADC Library . oe Pa , i ive Es ’ 8 mn 5 p , ‘i mn aa 7 ; —. fl we lise W vest ate | sak De > eh A mi en ae i i Sie as ey (PG La y DW) ia} t ig? a an! i i | , ' ance ‘At ‘ he ii’ > i Dit +> »* a ; + ; ; if 1.) Ri nbc, oy vat ve me AG H } _ : (ee iy ‘@ Oat) 5. uf eae , ti ¥ 7 wie Thee eter ye ees Q oa aA ae ‘ 7 ThA ie . . (ets *> i‘ > aiget » *, A o , ; Lh te) are a ciate Rk | RaDDY, Sahni ware, Rien c'./ ‘ r ,y Ay ere i ew P| im watt ia’ ms i ee A Seay 7 ’ . r " i ‘ ~~. ie ie fy ae ier ont one ee , RV ne ee oe i i] 7 J { i) +9 r i ” vw ‘, 4 wy ? ' le ‘ ¢ ¥ 4 Ande 4 Te orentes> ; ‘i Aon TOT As etm. 0% We iM > de te 4 4 y7 vi) verve yey . +‘? vray | 1 eas sad ol f ia Bien x, a -) ei } \ , } 5 oe af “ ‘ j . } y ‘ay ger +a Me ha See hal " 1 F . ’ 3 f . : | ; hos t t : i ot L. «@ “yy ‘ ‘ ihee BY uv t es ia &? i | ) i Pe Ordnance Research Laboratory Pennsylvania State University University Station State College, Pennsylvania U.S. Navy Representative SACLANT ASW Research Center La Spezia, Italy British Joint Services Mission Main Navy Building 19th & Constitution Avenue, N.W. Washington 25, D.C. Canadian Joint Staff 2450 Massachusetts Avenue, N.W. Washington 8, D.C. Admiralty Research Laboratory Teddington, Middlesex, England Via: Chief of Naval Operations (OP-703) Department of the Navy Washington 25, D.C. Commander Destroyer Development Group Two U.S. Navy Base Newport, Rhode Island Commander Destroyer Development Group Pacific San Diego, California Institute of Science & Technology University of Michigan Ann Arbor, Michigan Attn: Great Lakes Research Division Dr. John C. Ayers Director Chesapeake Bay Institute The Johns Hopkins University 121 Maryland Hall Baltimore 18, Maryland Applied Physics Laboratory The Johns Hopkins University 8621 Georgia Avenue Silver Spring, Maryland Attn: Mr. G.L. Scielstad Director Marine Laboratory University of Miami #1 Rickenbacker Causeway Virginia Key Miami 49, Florida Chairman Department of Oceanography and Meteorology Texas A & M College College Station, Texas Director Scripps Institution of Oceanography La Jolla, California Allan Hancock Foundation University Park Los Angeles 7, California Departmmant of Engineering University of California Berkeley, California Chairman Department of Oceanography University of Washington Seattle 5, Washington Director Hawaiian Marine Laboratory University of Hawaii Honolulu, Hawaii Director Arctic Research Laboratory Box 1070 Fairbanks, Alaska Director Bermuda Biological Station for Research St. Georges, Bermuda Laboratory Director Bureau of Commercial Fisheries Biological Laboratory 450-8 Jordan Hall Stanford, California bee MPa SS ide IA ee yi f ” A : , be \ | | taased el | “ 1, pend cE, ae Syn te' Ty. ¥ 2 haneey Oe ” wn Og ee ‘S z , rem ee Or 4 ; weLdgit Oo eee 4 : | fever en ey teil) I So Be as, yeor io fa, One | amt Pm 7 aa eae) mete, yt rs ee? yp ee ‘ 4orx bet ft So weh¥susl sand’ egete TIS « SorresD er Amo? ko dd) Fi tou. 62 rel PahaGe?. hden a! Afi e cet: ¢ Ke terrhe so, : Aietotiteas .t waleQG”a wr CuPapees nod Lo diend egw wlavateteaD To. ‘ceherevies eteadtsrled veiled as ue fe S ydeamnonescl) Jo. fhearaiged ° andi inn va. SRevevis' soreniaee®,.. 6° RlFs wor y) - sy “147.9 : modi ane.- ered ett res © Liareli Woe Laie shee hile KO? 2: ‘i ja wc'v L' co ‘agen! ae ov} ew | ® oA et wey $63 0°) | Et ace nist Paws io davaowesl) yo? 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Mr. L. L. Higgins 8433 Fallbrook Avenue Canoga Park, California Professor Basil W. Wilson Texas A. & M. College College Station, Texas Mr. E.J. Okleshen Section Chief Advanced Development Engineering The Magnavox Company Fort Wayne 4, Indiana The Perkin-Elmer Corporation 5670 East Washington Blvd Los Angeles 22, California Attn: Mr. George Artiano Entwistle Manufacturing Company 1475 Elmwood Avenue Providence 7, Rhode Island Attn: Mr. O. Minardi U.S.N. Underwater Sound Laboratory New Longon, Connectivgut Attn: Mr. Seymour Gross ee NORTRONICS, Marine Equipment Department 77 “A" Street Needham Heights 94, Mass. ATTN: Mrs. MacWilliam Technical Librarian Lt. Cmdr. E.W. Sapp U.S.S. Maloy (DE 791A) c/o FPO New York, New York Bureau of Ships Department of the Navy Washington 25, D.C. Attn: Code 440 (Mr. Ferris) Code 420 (Cdr. Aroner) Code 447 Code 526 Code 632 Product Design Engineering Department 4 General Electric Company Building #1, Room 119 Farrell Road Plant Court Street Syracuse, New York Attn: Mr. D.H. Harse LCdr Thomas Sherman Office of Naval Research Department of the Navy Washington 25, D.C. American Steel & Wire Co. 1625 K Street, N.W, Washington 6, D.C. Attn: Mr. Phil Wright Syd th, 2, Wie tothe r Pie Sita Pat ih on 2 ,* a ; iy pat ar. wits Go) ty es i a TR GN Re Ona ' od ee 4 : wo er’, Oe basa’ au) Dy ek bead avi aoe vol ype Yo" o aa i ‘ on vs y ? » ST Gh Ae | got ee) > hoe res 6 eaaovs | WO) INP BDO > Bh 7 ae ee RCS aie ank wren ines Ti a ae “+? 4 vw ~O4 Banco r By mass | ; oe Four. 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