NACA TN 183 Static Stability of Seaplane Floats and Hulls

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    NATIONALDJtSCFifHJM17TEEFORAEROiiAUTICs

    NATIONALWISORY(lOMkJTTEEORAERONAUTICS.

    NO.183

    STATICSTABILITYF SEAPLAbiLOATSANDHULLS... By%. S.Diehl,Bureauof Aeronautics,.S.N.

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    NATIONAII5VISORYCOMMITIHORAEROitAGTIC5.TECHNICALOTENO-183-

    STATICSTABILITYF SEAPLANEFLOATSANDHULLS-*Bj7W. S.Diehl.

    .Oneof theimportantactorsin seaplaneesignis the Sta --

    bilityt rest on thewater.Ordinarilyhisis securedby .basinga newdesignon theproportionsollowedin someoldandsuccessfulesigq.Sufficientatahasbeencompiledrom.var- -ioussourcesto clearup thispointin eachof thecasesrequir- -ingstudy.Thesecasesarelateraland lon~itudinaltability---b of twinfloats,longitudinaltabilityf singlefloats,and lateralstabilityherefing tip floatsareused(aswitha sin-glemainfloator boathull). Thelongitudinaltabilityfboathullsis sogreatthatitmaybe neglected. .

    Themethodfollowedinis to obtaina satisfactoryheightandstudythevalues

    thecaseof singleandtwinfloats J-approximation.tohemetacentric .actuallysedin successfulesiOms-_

    LATERALSTABILITY TWINFLOATS. .

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    .

    .-z-

    thevolumeof displacement.et 6 be thespacingof tinefloa~son centerIinesjL thelength,and b thebeamof eachfloa~~.Then,assumingtheareaof thewaterplaneor eachflcattobe-Lb, themomentof inertiaof thetotalwaterplanereais

    I ((s +b)3 - (s- b)3)= 12= +#6s2;+2b3)

    Theweightof onecubicfootof seawateris 64lb.fore,thevolumedisplaceds

    v = &* where ~ is thegrossweightof theseaplaneinpounds.ingtheexpressionsor I and V:

    Themetacentriceight GM is thengivenbyGM= BM-BG=64L (6sb-+2b3) - h

    where h is thedistanceof thec-g.abovethec.b.

    ..-

    Thexe-

    Combin-

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    -3-

    . GM = +whereA isthegrossdisplacementnpounds.

    ThevalueofKI hasbeendeterminedroma seriesof testsat theWashingtonavyYardExperimentalodelBasin,andfoundtobe remarkablyonstantitha valueof 19.5as shownby Table .1. Theapplicationf thisformulatofullscaleindesignwill be discussedater.

    LONGITUDINALTABILITY- SINGLEANDTWIHFLOATS.Followingher.ethodsedtodeterninehelateralrnetacen-tricheight,it tillbe assumedthatthewaterplane~ea.f each

    floatisrectangularndofarea L X b, so thatY~emomentofinertiaof thetotalwaterplmeareais

    1=%bL3where n is thenumberof floats.GM = 64nbL312A

    .

    Thisgives .--h

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    -5-q

    tobe sma21in comparisoniththemomentdueto inclination.tshou?.dherefozee alloxableoput

    LI=CL2or A t COSCJ=.CWh sin6

    ariddeterninehevalueof c correspo~dingo satisfac~y (and-.unsatisfactory)esigns.Thishasbeendonefortheseaplanes. .=listed.n TableIII,andit is foundthat C?variesfTOm~.~tO5.7. Onedesign,the YE-7 seaplane,avinga valueof C = 1.33,wasunsatisfactory.oublingthedisplacementf theWingtip --floatsothat C!= 2.67,q resultedin satisfactorytabi~..ity.Inviewof tieperfor~nceof thevariousseaplanesabulatedn.Table111,it is tobe concludedhatsatisfactoryateralsta-bilitywillbe obtainedThen C = 2.00.

    APPLICATIONODESIGN.,.

    Valuesof lateralad longitudir~le~centricheightsforVariOUS seaplaneshave been cal~la~ed by ~e~s of theapprOXi~te.formulajustderived.ThedataaregiveninTableIV. Upon .-

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    -6-GM C 15 + .002~

    GM beinginfeetandthegrossweightW inpoundsObviouslyhevaluesgivenby thesetwolinesareby no

    meansfinal.Theyarebasedon a smallnumberof desiresand .refertoapproximatealueshm-ever,thatthevaluessorentpractice.Changesmaydatahavebeenaccumulated.

    It is recommendedhat

    for thesedesigns=It is thought,indicatedrea reliableguideto cur-be raieas founddesirablehenmorethelongitudinalndlateralmetacen-.

    tricheights be ~~e equalandof thevaluegivenbyGM= 15 + .002w. Theproperlen@h or ~uacing~equiredtoatisfytheindicated.

    valuemaYthenbe obtainedfrcmsubstitutionn theapprOXim~te _formulaeformetacentriceight.

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    .

    . -7-

    ltodel

    , Loening. CT

    IIIIII11TS-1DT .Ss

    q TABLEI.LATERALSTABILITYF TWINFLOATSFORSEAPLANES.

    DETERMINATIONF KI IN TKEFORMULA

    LengthLft.

    2:332.0832.0832.0832.0832.0831.8322q 0451.75

    Beambft.-:292.34s.348.348.348.348.241.296.245

    Spacingon&,sft..875

    1.0001q0001.Ooe1.0001;000q777-833.791

    Dis-place-rlenAlb.4-676.075.084.353.632.722.733.942.61

    Heta-centricheightGMft.2-1192.3282.9?3.174.015.061.9551.8902.030

    Lbs2A

    .1117

    .1192

    .1423

    .1663

    .1993.2660

    .0983

    .1067

    .~028

    19.013.5 .=20.9 -:19.120.1 .19.019.9 .17:719.8

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    .-8-

    .

    Model

    q LoeninIICTII

    II

    n

    H

    TS-1DT

    TAE.LE1.LONGITUDZNAHTABIJTYOl?SIIAPL&NELOATS.DeterminationF Q IN THEFOR.KULA

    LengttLft.

    2.332.312.0832.0832.0832.0832.0831.8322.945

    GM . ~nbL3AMODELTESTDATA.

    Beam1liumbe~ofb floatsinft.I ._J..,__

    .2921 2t

    i.348 2.348.348.241.296

    2222

    Dis-place-mentAlb.4-674.906.075.084.353.632.722.713.94

    Meta-centricheightGMft.3.1642.6142.0532.903.473.i94.142.3602.423

    nbL3A

    1.581.2531.0341,~371.4431.7302.3101.0931.284

    .

    K2-.

    -- - -2.00 -.1.99 --....2.34....1

    :.-. s2.40. ...,. .-2q07 _.=;1,79 .:...2.16 :..--__,,1.89 ._,

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    -$j -

    TABIJ3II.LATERALSTABILITYEAPLANESITHWINGTIPFLOATS.

    .

    Seaplane

    N9HS-2 qHS-33-16F-5-LNCMI?iFVE-7VE-7Mod.40

    GroBSweightw

    lb.24006430643010900135002200024908850260026002467

    Dis- .*place- a;o$ement c.b,eachwing htipfloatil.lb. ft.160 I 5.7

    WingtipfloattoG1.f-h19.1

    275 I 4.9 I26.4*O 4.51170 6.01175 6,0laoo ?.5160 4.01000 5.0190 6.0380 6.0265 4*3

    26.430.433.241.515.6Z.513.513.514.75

    Angletosub-mergewingtipfloato$977874*.5.1097710

    tan9

    .158

    .123,123.140.123*079.176~158q 123.123.176

    c?

    1.421,875.033.883.925.7019433.231.332.672.08

    Remarks-

    .

    .,

    -.-+ .

    lJnsatis-,fat- .tory

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    Seaplam

    bening~~TS-1

    DTSsVTR6BoeingWATG

    q N9* NcGB

    TABEEIV.FULLSCALEMETACENTRICEIGHTOF SEAPLANES. 6

    (CALCULATEDY FORMULA)Dis-place-mentAlb.2450100002025697546158615.395024554~(30..~8~24002200065000

    Lerqth Beamofboat~ bft. f-t18.67I 2.3325.00 4.716.50 2.1824.53 3.5521*O I 2.9325.75 3.6120.0 [email protected] 2.2E!25.06 3.2521.251.2517.83 3.4844.8 I 10.064.g6 I14.6

    Number;Spacingon&

    Tn sft.2z

    222,22211111

    7.012*O

    \ 70I IO*OI 9.0I\ 11.83II 11.0I1 7.5

    I

    Longitu-LateraldinalGM GMft ft.

    26.027.420.331.624.829.921.316.025.623.317.386.0129.0

    17.029.317.0 _24.320.9..29.429.816.4

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    Fig.1,