with a model bale press - agecon searchageconsearch.umn.edu/bitstream/158117/2/tb1546.pdf ·...
TRANSCRIPT
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MICROCOPY RESOLUTION TEST CHART NATIONAL BUREAU OF STANDARDSmiddot1963middotA
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11111125 1111114 IIIIIJ 6
MICROCOPY RESOLU nON TEST CHART NATIONAL BUREAU Of STANDARD~ llmiddotA
DETERMINATION OF THE COMPRESSIVE
CHARACTERISTICS OF LINT COTTON WITH A MODEL BALE PRESS
Ihhnicul Bulletin No I SmiddotI(
AJri(ultural iteseureh Strvice UNITED SlAII~S DEPAltlMENT OF AGIUCllIIllHI~
in (ooperation with
Mississippi AJrieultural and Forestry (~xperiment Station
CONTENTS
poundloge Abstract 1 Introduction 1 Experimental procedure 2 Results I
Independent variables I Depencl(nt variable _ _ _ _ 7 Regression analysis _ 7
Conclusions _
ILLUSTRATIONS Fi1-tshy
1 Up-packing model ball prpss shown with press box door opln _ 3 2 Rpgression r(ationship lwtw((n logarithmic forct ancl logarithmic
density at the 3 ii ancl I percent moisture content le(gtls for a 1shysquare-inch bale press _ __ _ _ H
TABLES
1 Rang(s of tEmperaturp and relatiw humidity lIsld to condition and gin the seecl cotton - 3
2 L((ls of moisture content uspd in (Illuating til( compr(gtssin charshyacteristics of Stoneille 2Jr and Pima S-t cotton J
3 Quantity it-(]s used in Cnlluating th( compnssi( charactpristics of Stonpillu 213 and Pima S-2 cotton
1 Physical prOlwrti(s uspcl to dpsignatp ariptal difflrencps of Ston(ville 21r and Pima S-2 cottons fi
5 Compressip force associat(d with variation in middotari(ty dtnsity lint moisturp and quantity of cotton in thp modpl bah PrtSS 7
( Analysis of varianc( for thl split-plot design uspd to paillatt tilt force rtqllirpcl to compress lint cotton _ X
I Analysis of arianct for thl regr(ssion of moisturp conttnt and logltlshyrithmic d(nsity on logarithmic comrrpssin [orct for a modl1 balp pnss ~)
H Regrpssion analysis of tlw forct rlquil(d to compnss lint cotton in a
1l1)cl(1 hal( PI(SS bull bull bull bull bull bull bull bull bull bull bull ~)
Wllshingtol1 I)C Iss-llcd locmbcr Ifl7G
DETERMINATION OF THE COMPRESSIVE
CHARACTERISTICS OF LINT COTTON
vVITH A MODEL BALE PRESS By ST-IEY -TIIOY and OIlImiddotR L )1 ((SI(III (IfricuIIUCl (ngill((s e8 Colton Ginlltllf [(search
LaJIIltIlory Africuitur(li lks(llrch S(rli(( U8 [)11(1rtlll(l1 o( Africuiwf( 8toltlilt Iiss
ABSTRACT
A split-plot ex(wrin1tntal dlsign was uSNI to (aluatl the force rlqulled to compress lint cotton in a mod( bale pr(ss with a cross-sectional area of 144 squan inciws Two significntly different variclies of cotton four lint moisshytuJ(S six clPnsitics and thrp( quantitips of cotton (r( lIsCd as independent variablls Statistical analysis of data inciicatcd that the pffpct of lint moistur( contcnt dpnsity quantity of cotton and thl interaction lwtwlcn moisture and quantity wpre significant at the I-pcrc(nt lev(1 of probability 111( interaction hptw(en ariPty ancl moistuJ( wus significant at tlw ii-plrClnt Iepl of probashybility Yariety and tl)( remaining interactions WCI( not significant at til( ii-p(rshy
(pnt 1lC1 A multiplp linCar rpgrCssion analysis was pNformed on the (ombimd Stonpvilk 21) ancl Pima 8-2 data in ordpr to cllwlop a prpcliction lquation for the modcl balC prpss Tht accuracy of tlw precliction (quat ion was increasCcI greatly Iwn logarithmic (hasp 10) transformations lr( madp for compressin forcl and dpnsity Thp rpgnssion analysis indicatCd that quantity of cotton was not a significant factor in tht for(t relttllind to comprlSS lint cotton Tht prediction equation is alid for the rangl of variabl(s inv(lstigat(d in a pr(SS with a cross-sectional arta of )t sqllan inch(s Qualitativ( but not quanshytitativp infpnl1cls rplativ( to oUwr sizts of prpsses can bl drawn from tl1( 1(shy
suits of this txplrinwnt Thl qualitativ( infeJ(nc(s inclu(p til( form of til( lquation govtrning til( ((Jmprtssin forcL nlriablts involvCd and till diJ(cshylion of influpnCl of thp variablts
INTRODUCTION
Ill( systpm by which lint (otton is packagtd in AnHrican gins has b(lpn criticiz(d sinc( its btginning in tilt I~)th (pntury Widtly di(rSl packaging nw[hods and til( prUllc( of sampling a bait aftpl it is packagCd combirwcl with tlw rough handling that a halt l(cCiVCs during shipshynwnt procluc( what is oftltn callpd til( Ugly AnwrieHn 13alp ())
i numlllr of ball tY1ws [It( produCPcl in til( Unittc1 StallS including tl1( (II gin flat (2)
Hahl ntlmJ(s in plInt Iwp r([pr to ilPlllS in Liltshy
11Irlt Citpd p 10
modified flat (g) gin standard (j) gin uninrshysal c1pnsity and (fJ compnss unkprsal (iPnsity I~ach of lhls( tV()(5 is com(Jr(ssCd to n dtnsity and I(slrnintd at a I(ss(r dCnsity tl1( d(nsity in (ach Clt1S( Iwing dp(wn((nt on lIw capaililili(s of lIw pn5S which ur) from OIH systPtn to mot hll FlIrthprm()I( gin flat and ll10difipd flat baitS arC usually J(-pnsspdin a (omprpss aflpr initial packaging in a gin prpss (hPJal llwn is (onshysi((Iahl( ltlriatioll in Silt shape nnd d(nsily among bal(s packagltd in diff(llnt systpms
B(caLls( tlw UrlOUS packaging systems produc( bnlls of diffeJlnt sirPs shapes and dtllsili(s s[vlral handling tpcIJniqu(s and modes of transshyportntion llJe lIs(d to 1ll00C IJalls of (olton to
their ultimah~ destination Handling damages frequently occur
Efforts are being made to improve the appearshyance and quality of the American cotton ball (6) Automatic sampling at the gin prior to ball packaging now being used on a limited scale (7) has the potential to greatly improve the exshyternal appearance o[ the bale The trend toward producing only three types of bales-the modishyfied flat the gin universal and the compress universal bale- will also help do away with many irregularities in American bales The modifiltd flat bale is intended for domestic lise whereas the last two types may be exported The gin unishyversal cltnsity bale is produced in a gin system capable of packaging a bale at a dlnsity of at least 2t pounds per cubic foot Tlw compress univlrsal density bale is producld by re-pressing a modified flat ball in a compress
Once pstablish((l the ntW packaging system will standardize sizes shapes and densities of bales and that in turn will permit standardizashytion of handling equipment and op(rations which will minimize handling damages Despit( tlwse ongoing improvements howletmiddot improving tlw Anllrican cotton bale llquires more technology in many anas OIl( such lWld is the lstablishshyment of a prediction equation for the forc( reshyquired to comprlss lint cotton Ill( prCdiction equation would provid( manufaeturlrs with basic criteria to be used to satisfaclorily d(sign COIllshy
prlssi ve systems Because sewral conflicts txist in publislwcl
information pNtaining to till fnrcl rlquirld to compress lint cotton ( middot1 ~ 1)) this imlstishygation was llndprtaken to dptlrminl tIlt forcl llmiddotquirecl to comprpss lint cotton and to resol( the conflicts in previously collletld data Sonw of tIlt mort ((tsily I((ogniztd ariabks of which this force is a function are (I) 1I1l lint llloislull content (21 tht d(nsity to which lIw lint cotton is cOlllprtssecl (11 1Ill quantil of cotton I)(ing co III Plcss(d (middot1) tIl( physical proplllits of t 11( lint cotton (i) tl( distribution of tlw lint within tl( pnss box (()) tIl( tinw ralt of (olllpnssion (71 llw siz( of tIll pnss box (Inc (11) til(gt friction of tlw cotton on thl Pl(ss box alls Thi study s((ks to e tablish tIl( significantl of Llw abot variahlls in tlH cornpnssion of lint coUon
EXPERIMENTAL PROCEDURE The initiul sUP in cleloping un (middotquation til
I(pl(spnt (middotompnmiddotssinmiddot forel is tIll (slnhlishnwnt
of the basic form of the relationship governing the force required to compress lint cotton Prelimishynary investigation with the variables mentioned in the introduction indicated that four of those variables could adequatelT describe much of the variation in the data for a press of a given size These variables were lint moisture content denshysity quantity of cotton and physical properties of the cotton
Physical properties of cotton vary between and within varieties depending on genetic makeup growing conditions and so forth There has been much speculation on the compressive charactershyistics of different varieties of cotton especially those of different staple length strength and micronaire If eVNY variety o[ cotton were conshysidered variation of each of til( many physical properties would require a test too larse to be manageable For this reason testing between two difflltnt varietils (Stoneville 213 and Pima S-2) with widlly differing physical proplltils was considlrecl as a Sllitahlt altlrnativ(
Rlsearch lvaluating tiw forcl rlqllind to comshypnss lint cotton us concluctld with four factors ariCty moistul( cont(nt d(nsity ancl quantity Using2 arietiesmiddotl moistults (j d(nsities a qUell1shytitits of cotton and ~ rlplieations wouid l(quin middot132 t(st lots 110 (Vll (i cllmiddotnsit 1((ls c(ln 1)( obtain(cI from 1 t(st lot of (otton by conlinuously monitoring the changl in cltnsity thenby rldllCshying tIll rlquirld nUllll)(r of tpst lots to 72 Each llst lot in a full-size systcm l(quins an ltItragt of i()O pounds of lint cotton Using 72 of thesp )OO-pound lots to conduct an lqwrinwnl of this natul( would not 1)( physically or t(ol1omically fl(1sihl(middot
It was fllt that tilt mod1 baitmiddot pnss at tIH lS Cotton Ginning Hes(arch Laboratory StOll(shymiddotill ~Iiss could bl us(d to dlllop detailpd Cjualitati( information rllative to tIl( foret 1(shy
qllirtd to Comprcss lint cotton Ind nndd llCJuin substantially llsS (otton tllllll a full-sitlmiddot Pl(ss Ill( ll1ocl1 pr(ss box hus n llOSS-Sctionnl HrlU of 111 sqllHngt inclws as lO11ptll(c1 to n full-sizl p1lS box which InnglS from 1()~i to 1lii sqUl1r( inciws and is iO incllls dlgt(p or lpproxil11nllly
tlw sanw clpth as a rull-sizt pr(ss hox Tlst lots of approximatply li pounds nn l(quind for tilt mo(kl bal( pnss which nHanS lhat tIl( nlOdt1 bah pnss nmiddotquinmiddots onl) 1 P(gtl(Pllt us Illuch CottOll as in tilt fllll-siZ(gt systlll1 -li-gallon-ppr-minshyutp hydraulic pllmp clrinll by a i()middothorSlI)()Wcmiddotr (Ipetric Illotm d(V(lops lompngtssi( fOl(P in llll
1 ~I 1 -
Ft([ W I lplltlekin mo(h-I hall pn~ h() n wil1l pnmiddot box duol Uptn
modtl prpss systtm The hydraulic systlm lPshyvplops prlSSllrl on an K middot-inch-dianwttr upshypacking ram Tlw model ball PISS is shown in figurp I Tlw hydraulic systpm is locattd outshyskll tlw building
Similitude analysis indicattd that only tlw form of thl rllationship (iintar Cxpotwntial quadratic logarithmic etc) and thl rllnti( importanc of each ariable could w casily dpt(rminecl from a modd hailgt press sinc( quantitativp I(sults would llquirl thl (alualion of slvtral distortion factors
Furthermot( the accuracy of tlw (xpprinwnt would )( incrpaspd substantially by using tlw mocipl systtm (2) First sincc less cotton w(Hdel 1)( lquiled to conduct an lxpcrimcnt with the mOcl1 systtm the homogtnpity of thtmiddot samplp lots could Iw grtatly incrpaslc hlcaust uniform physical proptrtils arp mOrt tasily ohtaimmiddotd with smalllr quantitits of colton Stc()Jld bpC(lus( tlw model hale PllSS is located in a c1imaticnlly conshytroll((1 building moisture distribution could Ilt kept uniform in tht (xplrinwnlal lots hy condishy
tioning at constant temp(rature and relativ( humidity Third the instrumentation used to monitor the compressive force in the model bale press is more accurate than the instrumentation in a full-size bale prpss
A randomizp( completl-block split-plot experishymental dlsign was used to lall1ltlte the force reshyquired to compress lint cotton 10 arietils of cotton Stol1Eille 213 and Pima S-2middot four le(ls of moisture content six densities three quanti shyties of cotton and three replications wert used
The sepd cotton used in the exppriment was mechanically harvestlC1 and hlld in storage apshyproximately () months Iwfore Iwing proclssld through thrpe stages of sped-cotton-cleaning machinlry in a full-size ginning systll11 The seed cotton was thln conditiontd and gil1lwd at the rang(s of tempprature and rllativC humidity shown in tahle 1 1lw slpd cotton was diviltiPd into lots of approximntlly 30fi and ()) pounds and placpd on middoti-foot-wid( by ~-f()()t-Iong storagt trays TIl( storagp trays (Il spactd 12 inclws apart wrtically to allo tht conditioning air to circulatp fr(ely through till stpel cotton Afltr the lint portion of tlw slpd cotton Jtuclwd lltIuishylibrium with thl conditioning nil tpst lots pl( procpsstd through tIll l11odt1 gin stand and (Jill
lint cllaner lXllpt for lIw lots at till low llloisshytUJlCOl1tlnt 1((1 (1((1 1J For til( lots at tilt
I() l11oistur( 1ll1 two l11ultipath tOWPI dliPrs o[wrntpd at 2i()J F (121P C) (Il also llstd in thl ginning slqupnC( imnlldiatliy l)(f()Il lh( gin stand On(( through thl gin stand till lint as fpel into till modtl balC pnss ia a colltiPns1 and a lint slidp and tlw COlton tramrlld lJy hnnd into tilt PL(SS hox
Tlw compnssiv( for(( wus nWltlsllrpd by l1~ing
TMlLE l-falges III ll1Il1(raluI( (lwl Ielcttil(
hUlIidily llsec II) ((wliti(11 owl gill Ih wert
C()Oll
(middotor(hll nln~[111 t (jtnlllf1~ ran
1lnt rangnlj)i~lunmiddot11101il urp Itlilt i Tl1lp ItIII TIlIlIl
nltnl11(1 ( I
humidit Il UI hIlIlWhl ~lll1n
I 1 I Fl ( 11
- 1 -1middot) qO fI_~ ~ ~ III~q 1 I ~h 11- i 7-711 a ~ - l 7-
1-[ J 1~ -1 --J~ If ~ ~ ~~l-~L~
- - ~HJ-~L-)1- -III 71~-1
IIltmiddots m till ltI(rl~( a wit 1(1 tor h th illIPtils
of (otton
( tlon il nndil iflllld fur a IlIlillcl I It hmiddot 1 hOlils
Sttc1 t~(tton dlp Pl1 u p(1 tel ItWIl tht tllllttlln
nlIl
a force transducer in conjunction with an eightshychannel direct-writing strip chart recorder Thl lOOOOO-pouncl-capaciLy transducer was placed on the fixed platen at the top of the press to monitor the force rlquirecl to compress the test lots The millivolt output of the tranducer was recorded O1 six channels with successively overlapping ranges
As the ram was forced up by hydraulic fluid the change in press )0( volume was monitored continuously by measuring the ram tranl Two microswitclws broke an eiPctrical circuit and nctuated l-ent markprs on the recordti for epry inch and twry olw-tighth inch of ram mO-emlnt The duplicate systt111 of monitoring tht changt in prtss-box -olume was necessary because of the exponential dflct of tlw change in volunw on dpnsity Since the quantity of cotton was conshystant for each test lot thp density of thp cotton could be (ktermintd in small incrpments by utishylizing thp change in platen separation as indicatpe by tlw microswitches Densities were computed by ehiding tlw quantity (weight) of cotton by the olull1e that tlw cotton coule occupy as dt-
TABLE J-LeLes 0 moisturC cOltcll1 used ill ([(llllalillg lhe c()l7lpressite characlerislics ()j Sloletil( nr ((Ile Pima S-2 (ottOII
Ball Iistllrt (ont(nt [
dpoi~nltt ion Pima S-
2 III
17 2~)
~-JO ~ ~)
I
11
I -
lid
I))J
1 -- li71
11 I
I ~
lrig(1 )il
fllIS aI- ltIVlrHgr- I J ~i1lllpl(s ]t ([(h Ilf 1 f1middotplil[middot I lOllS TIl( IndlIWndlnt vIIIdI( dpnsitv as Invlitigatld
iH l~ 17 17 ~~ untl r lhft Illlt hI digit fir hillmiddot dloignalioll I1l1mb t indi(Il~ till
mlliitllll (IlJlIln( 11([ tilt d tillt qlliln(i( 1(11
I
termintc1 by the location of the bottom platen reiati( to the top platen
RESULTS Independent Variables
The various moisture contents and quantities of cotton used in this study arc shown in tables 2 and 3 respectiv(y The levels arc indicattd for lHch varilty of cotton A vlIage moisture conshytents of 237 47G (Un and Hiiii percent were used The aCrage quantities of lint cotton used were lOGmiddot lii~)() and 21iiG pounds Dlnsities of 12 17 22 27 32 and 37 pounds per cubic foot (r( imtstigated
The two arieties of cotton used hav( different genetic characteristics and w(r( produc(d in difshyfll(nt growth ll1ironmlnts As a rlsult their lint physical propertits wert different The StOI1lshyvilll llr was grown at Stonlville ~[iss undtr high-humidity nonirrigattC1 conditions and the Pima S-Jmiddot was grown at Las CruclS ~ ~Iex
uncleI low-hull1idity irrigatlcl conditions Vith tlw exclplion of maturity indlx tl1( two aritties of cotton had sign i ficant ly eli ff(rent (l-rwrclnt
(Conlillled UI page
TABU 3 ~ Quantily 1(Iels uscd ill (lcdllatillg the COI1l[UCSSil( clw(clerislics ojSlo(ille 21] alld Pima lt-2 cotton
ld (~lIfll1til) 11111 dp-ignrltion lil11i1 s-t
II III 11 III JII
I II 11 lI1l
1 1110 1()~r
11 111- 111l
In) 1111)
I [Ii II II 711 11 i ~IJ 1- III
~ 1poundi -17 1-)17
1 1h--- J- ~)
111[1 11 1- I
I I (J ~ I)
)) 1 1lI
~ 17 (L~IK
bull IIJ III
2 ~ II~)
(Jllall ltIllag 1111)0 1- I
middotaltl ittP atfflgP oj BJnpltmiddot for puch 01 n~plimiddot
(I(lll~ TIll InclltPIIHIlIl( gtrIdtmiddot d(middotn~i( IIltlS intmiddot~timiddot Ulttd (It J~ 17 7~ ~2 Hilti 7 III ft
TIllt 11 digit III I hI hnl d-ignalitln nlllnlwr inditmiddot1I1o
1111 I1jtllll tIlntll1l 1(11 Ill d [Illt quantity 1(11
TABLE I-Physical properties used to desilfllate varieal differences of StOIl([iC 21] and Pima 8-2 cottons l
(nuslicnirp I-licronailCFibloglnph 811lnglh
Ilading Hali ~ )( Hpnn II niformil~ Is-inlh gagl ~IHtUImiddotill Fin(I1Pss
indlX () (ugin)dlsignat ion Ipngth lin) Iutin () (gllX) 8211 Pima
S211 PimaIinlll SHl PirnnS211 linHl 821 Pima S211
aH7 )(iO middotloa117 middot117 21() l2middot1() 7) 7~~7 middot170
11 lllHO L2il 1031~)7 -177 (n middotIGO
12 LOS7 12lj7 117 middotI 7 210l 1117 iHt l(n u 01
11 lOS l2(ll) middot111 middot131 21m 121 Idl 71)1 middot170
37middot1 Ilill middotIO1Li 2121 1210 Ir0 rO middotL7lOSl 121 IlliAlrIW
171 l(iO U17 21 l (I) 12Hll 1(10 ImiddotO 2111 12middot17 7x7 tH7 middotL70
7~)~7 middot1ri7 171 middot1flO 107 2 l 1III _ I 1middot171 - shy middot10 211 1200 71l
7H7 7HO middot171 177 IGO U)7 )1 1107 1H7 li7 middot1middot17 211 12211 _l
I ~)~() 1middot1 211II l~)~ 7KD 7t-iH middot170 371 middotIGO i)OO4 PI~ugt~ bullbullbull IIll7 L2HI
7~l7 middot1Cn 1(jJ I()() middot100If) 21nl U 710
7~1 7H7 middotlli1 177 lfi) 10011 1 121 1111 1ll7
12 1 1l 1111 Ili7 middot11l 2117 1211 middot170 177 middot1(iO 100211ilgt 0 iU7 7Hi 1120 1107 1711 Ia
11 J )( lI (Jl) 7~1l 7)1l li7 3 72 ~15S 400 (llage Ll loH middotlLH =~~ -==----=--~-
I 1jl 1GO 4001Uil 7~L7 7DI 157 LID
II 1110 111 0 171 17 2211
12 I 117 11211 middotIHII III 7 2IO ll1Il 7JO 711 middotun a77 1(jO U7 Ii1 middot100
171 middotfLU 2171 1LliO HOO is7middot1 1 1)7 LII7
middot03 170 middotIfj(] 01 Lalli 17 lIi1 11 1llS 7~LI 711 l~rngl 11lK
(hprnll 1middotHHh ~1r12H 12711gt i~L lH 7~IOn middotIlH1 172h middot1GOa middot102b
1112n 12l2h middotlIi1211H(IUgl
(indl indlx ( )Lint flllli11 Stnpll tngl h 11lUt lpl~ Contpnt Lpnf Composile( 1middot12middotjnl Clor
11
S211 llj Ina S2ll Pimn 821 Pima 8213 Pima S21 Pi 111lt1
120 Il 1middot11 III7 Hmiddot10 102H 940 1027 II 1 1 ~ J middotImiddotUI
12 112 1middot11) H~ 1 )middot10 102middot1 )Il 102li 940 1024
J10 1O7 940 1024177 lmiddotU) 1021I ) 1middot11 middotImiddotI ~77
lmiddotIO 107 940 1025 ~~ ) I~) 1middot10 102
tlrlg(l JmiddotI middotImiddotU
~p ~ 10O 91(i 102011 ImiddotO 1 IK ~~ ImiddotIO 1UJI
21 Illo nnH 1l0 1112ll Hl1 99S
271 21 120 lOO ~)2(i 1020 111 1111
l lll 111202 gt-12 I LII 271
)20 IllO l2il 1011 H~) 220 lItl 101
tYlmiddotra~(l 111 I LO ~--==-=--=
) SlP footntlts at lnd of tahll
0)
TABLE middotJ-Physica properies llsed to desigllate Iarieta difCCIlC(S of StollcIille 213 alld Pima S-2 coltollsl-Continucd
Lint for[ign Grnli( indtx ( IStapl IlngthBall (nut lPI~ tonU)l1t dpsignHtlon
(I l-inl r J Color Lpuf Compositl
S] Iimn Sll Pi 11111 S Ii I11n SIl Pi 11111 S211 PilllH 11 l
bull vlmiddotragl
1
11
l-IH
middotl~
1middot111
IU) middotILI
111l
amiddotIl aHJ
amiddotI1
Uil
poundl IH
middotIO
lii
111l
)I(J
)I()
l)
WII WIll)
]() 1middot1
j() 1middot1
HIlo
iiO lltii1l
1ltbullbull0
1U1l1
Ill lOO
lOO]
HHO I()l
IltKJ
HH1
101middot1 HH7 1003 --shy ---shy ~- shy]00]
11
I I
vPIUJ4P
1lCJ -11) )0
1-11
111l
middot1111
110
middotImiddotID
middot11]
IS()
)1lt
1011
~7()
lin ~l
) -)
1
II1l BIn )IO
)middotIO
llHl)
101middot]
lHlli
WObull
f)IlO
1iIO
l20
JOa
mI Iiibull
n7H
lBii
)oo In2 lO7 1H7 )11 H7(
--~ ------~--
UO() 085 Oqral
aVlmiddotagll lt a I Ii I Lob lllla 2()h 1)middotIlla lOUih lOlltn lOtJHiJ 915a 100Gb
lValtlll- an Ilragls of a slIllplls fl pnch of 1 r(plications nlll(S dlurmilwd hy (otton Division Agriculturul -lnrk(ting S(Imiddoticlt CI(mson SCbull with thl lxl(ption 01 valu(s 101 tupl Ilng-th and grnd(middot imiPx whkh (n dltlllllinpd h) tIll (olton Dimiddotision Agricultural -larklling Sprvict Orl(I1ood 1li8
TIll 1st numhr nI(middot tll (Ill l1loislllJ( (onllIH hl1 d to tIl( CJuantity I[p
(hrlt111 ltllragps nol follo-tmiddotd by till sanl Itllpr aI( signifkantlv difflrlnt at tIl( 1 1(lt101 (lroJnhilitgt liS d(IlIminpd by l--lpllL
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
DETERMINATION OF THE COMPRESSIVE
CHARACTERISTICS OF LINT COTTON WITH A MODEL BALE PRESS
Ihhnicul Bulletin No I SmiddotI(
AJri(ultural iteseureh Strvice UNITED SlAII~S DEPAltlMENT OF AGIUCllIIllHI~
in (ooperation with
Mississippi AJrieultural and Forestry (~xperiment Station
CONTENTS
poundloge Abstract 1 Introduction 1 Experimental procedure 2 Results I
Independent variables I Depencl(nt variable _ _ _ _ 7 Regression analysis _ 7
Conclusions _
ILLUSTRATIONS Fi1-tshy
1 Up-packing model ball prpss shown with press box door opln _ 3 2 Rpgression r(ationship lwtw((n logarithmic forct ancl logarithmic
density at the 3 ii ancl I percent moisture content le(gtls for a 1shysquare-inch bale press _ __ _ _ H
TABLES
1 Rang(s of tEmperaturp and relatiw humidity lIsld to condition and gin the seecl cotton - 3
2 L((ls of moisture content uspd in (Illuating til( compr(gtssin charshyacteristics of Stoneille 2Jr and Pima S-t cotton J
3 Quantity it-(]s used in Cnlluating th( compnssi( charactpristics of Stonpillu 213 and Pima S-2 cotton
1 Physical prOlwrti(s uspcl to dpsignatp ariptal difflrencps of Ston(ville 21r and Pima S-2 cottons fi
5 Compressip force associat(d with variation in middotari(ty dtnsity lint moisturp and quantity of cotton in thp modpl bah PrtSS 7
( Analysis of varianc( for thl split-plot design uspd to paillatt tilt force rtqllirpcl to compress lint cotton _ X
I Analysis of arianct for thl regr(ssion of moisturp conttnt and logltlshyrithmic d(nsity on logarithmic comrrpssin [orct for a modl1 balp pnss ~)
H Regrpssion analysis of tlw forct rlquil(d to compnss lint cotton in a
1l1)cl(1 hal( PI(SS bull bull bull bull bull bull bull bull bull bull bull ~)
Wllshingtol1 I)C Iss-llcd locmbcr Ifl7G
DETERMINATION OF THE COMPRESSIVE
CHARACTERISTICS OF LINT COTTON
vVITH A MODEL BALE PRESS By ST-IEY -TIIOY and OIlImiddotR L )1 ((SI(III (IfricuIIUCl (ngill((s e8 Colton Ginlltllf [(search
LaJIIltIlory Africuitur(li lks(llrch S(rli(( U8 [)11(1rtlll(l1 o( Africuiwf( 8toltlilt Iiss
ABSTRACT
A split-plot ex(wrin1tntal dlsign was uSNI to (aluatl the force rlqulled to compress lint cotton in a mod( bale pr(ss with a cross-sectional area of 144 squan inciws Two significntly different variclies of cotton four lint moisshytuJ(S six clPnsitics and thrp( quantitips of cotton (r( lIsCd as independent variablls Statistical analysis of data inciicatcd that the pffpct of lint moistur( contcnt dpnsity quantity of cotton and thl interaction lwtwlcn moisture and quantity wpre significant at the I-pcrc(nt lev(1 of probability 111( interaction hptw(en ariPty ancl moistuJ( wus significant at tlw ii-plrClnt Iepl of probashybility Yariety and tl)( remaining interactions WCI( not significant at til( ii-p(rshy
(pnt 1lC1 A multiplp linCar rpgrCssion analysis was pNformed on the (ombimd Stonpvilk 21) ancl Pima 8-2 data in ordpr to cllwlop a prpcliction lquation for the modcl balC prpss Tht accuracy of tlw precliction (quat ion was increasCcI greatly Iwn logarithmic (hasp 10) transformations lr( madp for compressin forcl and dpnsity Thp rpgnssion analysis indicatCd that quantity of cotton was not a significant factor in tht for(t relttllind to comprlSS lint cotton Tht prediction equation is alid for the rangl of variabl(s inv(lstigat(d in a pr(SS with a cross-sectional arta of )t sqllan inch(s Qualitativ( but not quanshytitativp infpnl1cls rplativ( to oUwr sizts of prpsses can bl drawn from tl1( 1(shy
suits of this txplrinwnt Thl qualitativ( infeJ(nc(s inclu(p til( form of til( lquation govtrning til( ((Jmprtssin forcL nlriablts involvCd and till diJ(cshylion of influpnCl of thp variablts
INTRODUCTION
Ill( systpm by which lint (otton is packagtd in AnHrican gins has b(lpn criticiz(d sinc( its btginning in tilt I~)th (pntury Widtly di(rSl packaging nw[hods and til( prUllc( of sampling a bait aftpl it is packagCd combirwcl with tlw rough handling that a halt l(cCiVCs during shipshynwnt procluc( what is oftltn callpd til( Ugly AnwrieHn 13alp ())
i numlllr of ball tY1ws [It( produCPcl in til( Unittc1 StallS including tl1( (II gin flat (2)
Hahl ntlmJ(s in plInt Iwp r([pr to ilPlllS in Liltshy
11Irlt Citpd p 10
modified flat (g) gin standard (j) gin uninrshysal c1pnsity and (fJ compnss unkprsal (iPnsity I~ach of lhls( tV()(5 is com(Jr(ssCd to n dtnsity and I(slrnintd at a I(ss(r dCnsity tl1( d(nsity in (ach Clt1S( Iwing dp(wn((nt on lIw capaililili(s of lIw pn5S which ur) from OIH systPtn to mot hll FlIrthprm()I( gin flat and ll10difipd flat baitS arC usually J(-pnsspdin a (omprpss aflpr initial packaging in a gin prpss (hPJal llwn is (onshysi((Iahl( ltlriatioll in Silt shape nnd d(nsily among bal(s packagltd in diff(llnt systpms
B(caLls( tlw UrlOUS packaging systems produc( bnlls of diffeJlnt sirPs shapes and dtllsili(s s[vlral handling tpcIJniqu(s and modes of transshyportntion llJe lIs(d to 1ll00C IJalls of (olton to
their ultimah~ destination Handling damages frequently occur
Efforts are being made to improve the appearshyance and quality of the American cotton ball (6) Automatic sampling at the gin prior to ball packaging now being used on a limited scale (7) has the potential to greatly improve the exshyternal appearance o[ the bale The trend toward producing only three types of bales-the modishyfied flat the gin universal and the compress universal bale- will also help do away with many irregularities in American bales The modifiltd flat bale is intended for domestic lise whereas the last two types may be exported The gin unishyversal cltnsity bale is produced in a gin system capable of packaging a bale at a dlnsity of at least 2t pounds per cubic foot Tlw compress univlrsal density bale is producld by re-pressing a modified flat ball in a compress
Once pstablish((l the ntW packaging system will standardize sizes shapes and densities of bales and that in turn will permit standardizashytion of handling equipment and op(rations which will minimize handling damages Despit( tlwse ongoing improvements howletmiddot improving tlw Anllrican cotton bale llquires more technology in many anas OIl( such lWld is the lstablishshyment of a prediction equation for the forc( reshyquired to comprlss lint cotton Ill( prCdiction equation would provid( manufaeturlrs with basic criteria to be used to satisfaclorily d(sign COIllshy
prlssi ve systems Because sewral conflicts txist in publislwcl
information pNtaining to till fnrcl rlquirld to compress lint cotton ( middot1 ~ 1)) this imlstishygation was llndprtaken to dptlrminl tIlt forcl llmiddotquirecl to comprpss lint cotton and to resol( the conflicts in previously collletld data Sonw of tIlt mort ((tsily I((ogniztd ariabks of which this force is a function are (I) 1I1l lint llloislull content (21 tht d(nsity to which lIw lint cotton is cOlllprtssecl (11 1Ill quantil of cotton I)(ing co III Plcss(d (middot1) tIl( physical proplllits of t 11( lint cotton (i) tl( distribution of tlw lint within tl( pnss box (()) tIl( tinw ralt of (olllpnssion (71 llw siz( of tIll pnss box (Inc (11) til(gt friction of tlw cotton on thl Pl(ss box alls Thi study s((ks to e tablish tIl( significantl of Llw abot variahlls in tlH cornpnssion of lint coUon
EXPERIMENTAL PROCEDURE The initiul sUP in cleloping un (middotquation til
I(pl(spnt (middotompnmiddotssinmiddot forel is tIll (slnhlishnwnt
of the basic form of the relationship governing the force required to compress lint cotton Prelimishynary investigation with the variables mentioned in the introduction indicated that four of those variables could adequatelT describe much of the variation in the data for a press of a given size These variables were lint moisture content denshysity quantity of cotton and physical properties of the cotton
Physical properties of cotton vary between and within varieties depending on genetic makeup growing conditions and so forth There has been much speculation on the compressive charactershyistics of different varieties of cotton especially those of different staple length strength and micronaire If eVNY variety o[ cotton were conshysidered variation of each of til( many physical properties would require a test too larse to be manageable For this reason testing between two difflltnt varietils (Stoneville 213 and Pima S-2) with widlly differing physical proplltils was considlrecl as a Sllitahlt altlrnativ(
Rlsearch lvaluating tiw forcl rlqllind to comshypnss lint cotton us concluctld with four factors ariCty moistul( cont(nt d(nsity ancl quantity Using2 arietiesmiddotl moistults (j d(nsities a qUell1shytitits of cotton and ~ rlplieations wouid l(quin middot132 t(st lots 110 (Vll (i cllmiddotnsit 1((ls c(ln 1)( obtain(cI from 1 t(st lot of (otton by conlinuously monitoring the changl in cltnsity thenby rldllCshying tIll rlquirld nUllll)(r of tpst lots to 72 Each llst lot in a full-size systcm l(quins an ltItragt of i()O pounds of lint cotton Using 72 of thesp )OO-pound lots to conduct an lqwrinwnl of this natul( would not 1)( physically or t(ol1omically fl(1sihl(middot
It was fllt that tilt mod1 baitmiddot pnss at tIH lS Cotton Ginning Hes(arch Laboratory StOll(shymiddotill ~Iiss could bl us(d to dlllop detailpd Cjualitati( information rllative to tIl( foret 1(shy
qllirtd to Comprcss lint cotton Ind nndd llCJuin substantially llsS (otton tllllll a full-sitlmiddot Pl(ss Ill( ll1ocl1 pr(ss box hus n llOSS-Sctionnl HrlU of 111 sqllHngt inclws as lO11ptll(c1 to n full-sizl p1lS box which InnglS from 1()~i to 1lii sqUl1r( inciws and is iO incllls dlgt(p or lpproxil11nllly
tlw sanw clpth as a rull-sizt pr(ss hox Tlst lots of approximatply li pounds nn l(quind for tilt mo(kl bal( pnss which nHanS lhat tIl( nlOdt1 bah pnss nmiddotquinmiddots onl) 1 P(gtl(Pllt us Illuch CottOll as in tilt fllll-siZ(gt systlll1 -li-gallon-ppr-minshyutp hydraulic pllmp clrinll by a i()middothorSlI)()Wcmiddotr (Ipetric Illotm d(V(lops lompngtssi( fOl(P in llll
1 ~I 1 -
Ft([ W I lplltlekin mo(h-I hall pn~ h() n wil1l pnmiddot box duol Uptn
modtl prpss systtm The hydraulic systlm lPshyvplops prlSSllrl on an K middot-inch-dianwttr upshypacking ram Tlw model ball PISS is shown in figurp I Tlw hydraulic systpm is locattd outshyskll tlw building
Similitude analysis indicattd that only tlw form of thl rllationship (iintar Cxpotwntial quadratic logarithmic etc) and thl rllnti( importanc of each ariable could w casily dpt(rminecl from a modd hailgt press sinc( quantitativp I(sults would llquirl thl (alualion of slvtral distortion factors
Furthermot( the accuracy of tlw (xpprinwnt would )( incrpaspd substantially by using tlw mocipl systtm (2) First sincc less cotton w(Hdel 1)( lquiled to conduct an lxpcrimcnt with the mOcl1 systtm the homogtnpity of thtmiddot samplp lots could Iw grtatly incrpaslc hlcaust uniform physical proptrtils arp mOrt tasily ohtaimmiddotd with smalllr quantitits of colton Stc()Jld bpC(lus( tlw model hale PllSS is located in a c1imaticnlly conshytroll((1 building moisture distribution could Ilt kept uniform in tht (xplrinwnlal lots hy condishy
tioning at constant temp(rature and relativ( humidity Third the instrumentation used to monitor the compressive force in the model bale press is more accurate than the instrumentation in a full-size bale prpss
A randomizp( completl-block split-plot experishymental dlsign was used to lall1ltlte the force reshyquired to compress lint cotton 10 arietils of cotton Stol1Eille 213 and Pima S-2middot four le(ls of moisture content six densities three quanti shyties of cotton and three replications wert used
The sepd cotton used in the exppriment was mechanically harvestlC1 and hlld in storage apshyproximately () months Iwfore Iwing proclssld through thrpe stages of sped-cotton-cleaning machinlry in a full-size ginning systll11 The seed cotton was thln conditiontd and gil1lwd at the rang(s of tempprature and rllativC humidity shown in tahle 1 1lw slpd cotton was diviltiPd into lots of approximntlly 30fi and ()) pounds and placpd on middoti-foot-wid( by ~-f()()t-Iong storagt trays TIl( storagp trays (Il spactd 12 inclws apart wrtically to allo tht conditioning air to circulatp fr(ely through till stpel cotton Afltr the lint portion of tlw slpd cotton Jtuclwd lltIuishylibrium with thl conditioning nil tpst lots pl( procpsstd through tIll l11odt1 gin stand and (Jill
lint cllaner lXllpt for lIw lots at till low llloisshytUJlCOl1tlnt 1((1 (1((1 1J For til( lots at tilt
I() l11oistur( 1ll1 two l11ultipath tOWPI dliPrs o[wrntpd at 2i()J F (121P C) (Il also llstd in thl ginning slqupnC( imnlldiatliy l)(f()Il lh( gin stand On(( through thl gin stand till lint as fpel into till modtl balC pnss ia a colltiPns1 and a lint slidp and tlw COlton tramrlld lJy hnnd into tilt PL(SS hox
Tlw compnssiv( for(( wus nWltlsllrpd by l1~ing
TMlLE l-falges III ll1Il1(raluI( (lwl Ielcttil(
hUlIidily llsec II) ((wliti(11 owl gill Ih wert
C()Oll
(middotor(hll nln~[111 t (jtnlllf1~ ran
1lnt rangnlj)i~lunmiddot11101il urp Itlilt i Tl1lp ItIII TIlIlIl
nltnl11(1 ( I
humidit Il UI hIlIlWhl ~lll1n
I 1 I Fl ( 11
- 1 -1middot) qO fI_~ ~ ~ III~q 1 I ~h 11- i 7-711 a ~ - l 7-
1-[ J 1~ -1 --J~ If ~ ~ ~~l-~L~
- - ~HJ-~L-)1- -III 71~-1
IIltmiddots m till ltI(rl~( a wit 1(1 tor h th illIPtils
of (otton
( tlon il nndil iflllld fur a IlIlillcl I It hmiddot 1 hOlils
Sttc1 t~(tton dlp Pl1 u p(1 tel ItWIl tht tllllttlln
nlIl
a force transducer in conjunction with an eightshychannel direct-writing strip chart recorder Thl lOOOOO-pouncl-capaciLy transducer was placed on the fixed platen at the top of the press to monitor the force rlquirecl to compress the test lots The millivolt output of the tranducer was recorded O1 six channels with successively overlapping ranges
As the ram was forced up by hydraulic fluid the change in press )0( volume was monitored continuously by measuring the ram tranl Two microswitclws broke an eiPctrical circuit and nctuated l-ent markprs on the recordti for epry inch and twry olw-tighth inch of ram mO-emlnt The duplicate systt111 of monitoring tht changt in prtss-box -olume was necessary because of the exponential dflct of tlw change in volunw on dpnsity Since the quantity of cotton was conshystant for each test lot thp density of thp cotton could be (ktermintd in small incrpments by utishylizing thp change in platen separation as indicatpe by tlw microswitches Densities were computed by ehiding tlw quantity (weight) of cotton by the olull1e that tlw cotton coule occupy as dt-
TABLE J-LeLes 0 moisturC cOltcll1 used ill ([(llllalillg lhe c()l7lpressite characlerislics ()j Sloletil( nr ((Ile Pima S-2 (ottOII
Ball Iistllrt (ont(nt [
dpoi~nltt ion Pima S-
2 III
17 2~)
~-JO ~ ~)
I
11
I -
lid
I))J
1 -- li71
11 I
I ~
lrig(1 )il
fllIS aI- ltIVlrHgr- I J ~i1lllpl(s ]t ([(h Ilf 1 f1middotplil[middot I lOllS TIl( IndlIWndlnt vIIIdI( dpnsitv as Invlitigatld
iH l~ 17 17 ~~ untl r lhft Illlt hI digit fir hillmiddot dloignalioll I1l1mb t indi(Il~ till
mlliitllll (IlJlIln( 11([ tilt d tillt qlliln(i( 1(11
I
termintc1 by the location of the bottom platen reiati( to the top platen
RESULTS Independent Variables
The various moisture contents and quantities of cotton used in this study arc shown in tables 2 and 3 respectiv(y The levels arc indicattd for lHch varilty of cotton A vlIage moisture conshytents of 237 47G (Un and Hiiii percent were used The aCrage quantities of lint cotton used were lOGmiddot lii~)() and 21iiG pounds Dlnsities of 12 17 22 27 32 and 37 pounds per cubic foot (r( imtstigated
The two arieties of cotton used hav( different genetic characteristics and w(r( produc(d in difshyfll(nt growth ll1ironmlnts As a rlsult their lint physical propertits wert different The StOI1lshyvilll llr was grown at Stonlville ~[iss undtr high-humidity nonirrigattC1 conditions and the Pima S-Jmiddot was grown at Las CruclS ~ ~Iex
uncleI low-hull1idity irrigatlcl conditions Vith tlw exclplion of maturity indlx tl1( two aritties of cotton had sign i ficant ly eli ff(rent (l-rwrclnt
(Conlillled UI page
TABU 3 ~ Quantily 1(Iels uscd ill (lcdllatillg the COI1l[UCSSil( clw(clerislics ojSlo(ille 21] alld Pima lt-2 cotton
ld (~lIfll1til) 11111 dp-ignrltion lil11i1 s-t
II III 11 III JII
I II 11 lI1l
1 1110 1()~r
11 111- 111l
In) 1111)
I [Ii II II 711 11 i ~IJ 1- III
~ 1poundi -17 1-)17
1 1h--- J- ~)
111[1 11 1- I
I I (J ~ I)
)) 1 1lI
~ 17 (L~IK
bull IIJ III
2 ~ II~)
(Jllall ltIllag 1111)0 1- I
middotaltl ittP atfflgP oj BJnpltmiddot for puch 01 n~plimiddot
(I(lll~ TIll InclltPIIHIlIl( gtrIdtmiddot d(middotn~i( IIltlS intmiddot~timiddot Ulttd (It J~ 17 7~ ~2 Hilti 7 III ft
TIllt 11 digit III I hI hnl d-ignalitln nlllnlwr inditmiddot1I1o
1111 I1jtllll tIlntll1l 1(11 Ill d [Illt quantity 1(11
TABLE I-Physical properties used to desilfllate varieal differences of StOIl([iC 21] and Pima 8-2 cottons l
(nuslicnirp I-licronailCFibloglnph 811lnglh
Ilading Hali ~ )( Hpnn II niformil~ Is-inlh gagl ~IHtUImiddotill Fin(I1Pss
indlX () (ugin)dlsignat ion Ipngth lin) Iutin () (gllX) 8211 Pima
S211 PimaIinlll SHl PirnnS211 linHl 821 Pima S211
aH7 )(iO middotloa117 middot117 21() l2middot1() 7) 7~~7 middot170
11 lllHO L2il 1031~)7 -177 (n middotIGO
12 LOS7 12lj7 117 middotI 7 210l 1117 iHt l(n u 01
11 lOS l2(ll) middot111 middot131 21m 121 Idl 71)1 middot170
37middot1 Ilill middotIO1Li 2121 1210 Ir0 rO middotL7lOSl 121 IlliAlrIW
171 l(iO U17 21 l (I) 12Hll 1(10 ImiddotO 2111 12middot17 7x7 tH7 middotL70
7~)~7 middot1ri7 171 middot1flO 107 2 l 1III _ I 1middot171 - shy middot10 211 1200 71l
7H7 7HO middot171 177 IGO U)7 )1 1107 1H7 li7 middot1middot17 211 12211 _l
I ~)~() 1middot1 211II l~)~ 7KD 7t-iH middot170 371 middotIGO i)OO4 PI~ugt~ bullbullbull IIll7 L2HI
7~l7 middot1Cn 1(jJ I()() middot100If) 21nl U 710
7~1 7H7 middotlli1 177 lfi) 10011 1 121 1111 1ll7
12 1 1l 1111 Ili7 middot11l 2117 1211 middot170 177 middot1(iO 100211ilgt 0 iU7 7Hi 1120 1107 1711 Ia
11 J )( lI (Jl) 7~1l 7)1l li7 3 72 ~15S 400 (llage Ll loH middotlLH =~~ -==----=--~-
I 1jl 1GO 4001Uil 7~L7 7DI 157 LID
II 1110 111 0 171 17 2211
12 I 117 11211 middotIHII III 7 2IO ll1Il 7JO 711 middotun a77 1(jO U7 Ii1 middot100
171 middotfLU 2171 1LliO HOO is7middot1 1 1)7 LII7
middot03 170 middotIfj(] 01 Lalli 17 lIi1 11 1llS 7~LI 711 l~rngl 11lK
(hprnll 1middotHHh ~1r12H 12711gt i~L lH 7~IOn middotIlH1 172h middot1GOa middot102b
1112n 12l2h middotlIi1211H(IUgl
(indl indlx ( )Lint flllli11 Stnpll tngl h 11lUt lpl~ Contpnt Lpnf Composile( 1middot12middotjnl Clor
11
S211 llj Ina S2ll Pimn 821 Pima 8213 Pima S21 Pi 111lt1
120 Il 1middot11 III7 Hmiddot10 102H 940 1027 II 1 1 ~ J middotImiddotUI
12 112 1middot11) H~ 1 )middot10 102middot1 )Il 102li 940 1024
J10 1O7 940 1024177 lmiddotU) 1021I ) 1middot11 middotImiddotI ~77
lmiddotIO 107 940 1025 ~~ ) I~) 1middot10 102
tlrlg(l JmiddotI middotImiddotU
~p ~ 10O 91(i 102011 ImiddotO 1 IK ~~ ImiddotIO 1UJI
21 Illo nnH 1l0 1112ll Hl1 99S
271 21 120 lOO ~)2(i 1020 111 1111
l lll 111202 gt-12 I LII 271
)20 IllO l2il 1011 H~) 220 lItl 101
tYlmiddotra~(l 111 I LO ~--==-=--=
) SlP footntlts at lnd of tahll
0)
TABLE middotJ-Physica properies llsed to desigllate Iarieta difCCIlC(S of StollcIille 213 alld Pima S-2 coltollsl-Continucd
Lint for[ign Grnli( indtx ( IStapl IlngthBall (nut lPI~ tonU)l1t dpsignHtlon
(I l-inl r J Color Lpuf Compositl
S] Iimn Sll Pi 11111 S Ii I11n SIl Pi 11111 S211 PilllH 11 l
bull vlmiddotragl
1
11
l-IH
middotl~
1middot111
IU) middotILI
111l
amiddotIl aHJ
amiddotI1
Uil
poundl IH
middotIO
lii
111l
)I(J
)I()
l)
WII WIll)
]() 1middot1
j() 1middot1
HIlo
iiO lltii1l
1ltbullbull0
1U1l1
Ill lOO
lOO]
HHO I()l
IltKJ
HH1
101middot1 HH7 1003 --shy ---shy ~- shy]00]
11
I I
vPIUJ4P
1lCJ -11) )0
1-11
111l
middot1111
110
middotImiddotID
middot11]
IS()
)1lt
1011
~7()
lin ~l
) -)
1
II1l BIn )IO
)middotIO
llHl)
101middot]
lHlli
WObull
f)IlO
1iIO
l20
JOa
mI Iiibull
n7H
lBii
)oo In2 lO7 1H7 )11 H7(
--~ ------~--
UO() 085 Oqral
aVlmiddotagll lt a I Ii I Lob lllla 2()h 1)middotIlla lOUih lOlltn lOtJHiJ 915a 100Gb
lValtlll- an Ilragls of a slIllplls fl pnch of 1 r(plications nlll(S dlurmilwd hy (otton Division Agriculturul -lnrk(ting S(Imiddoticlt CI(mson SCbull with thl lxl(ption 01 valu(s 101 tupl Ilng-th and grnd(middot imiPx whkh (n dltlllllinpd h) tIll (olton Dimiddotision Agricultural -larklling Sprvict Orl(I1ood 1li8
TIll 1st numhr nI(middot tll (Ill l1loislllJ( (onllIH hl1 d to tIl( CJuantity I[p
(hrlt111 ltllragps nol follo-tmiddotd by till sanl Itllpr aI( signifkantlv difflrlnt at tIl( 1 1(lt101 (lroJnhilitgt liS d(IlIminpd by l--lpllL
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
CONTENTS
poundloge Abstract 1 Introduction 1 Experimental procedure 2 Results I
Independent variables I Depencl(nt variable _ _ _ _ 7 Regression analysis _ 7
Conclusions _
ILLUSTRATIONS Fi1-tshy
1 Up-packing model ball prpss shown with press box door opln _ 3 2 Rpgression r(ationship lwtw((n logarithmic forct ancl logarithmic
density at the 3 ii ancl I percent moisture content le(gtls for a 1shysquare-inch bale press _ __ _ _ H
TABLES
1 Rang(s of tEmperaturp and relatiw humidity lIsld to condition and gin the seecl cotton - 3
2 L((ls of moisture content uspd in (Illuating til( compr(gtssin charshyacteristics of Stoneille 2Jr and Pima S-t cotton J
3 Quantity it-(]s used in Cnlluating th( compnssi( charactpristics of Stonpillu 213 and Pima S-2 cotton
1 Physical prOlwrti(s uspcl to dpsignatp ariptal difflrencps of Ston(ville 21r and Pima S-2 cottons fi
5 Compressip force associat(d with variation in middotari(ty dtnsity lint moisturp and quantity of cotton in thp modpl bah PrtSS 7
( Analysis of varianc( for thl split-plot design uspd to paillatt tilt force rtqllirpcl to compress lint cotton _ X
I Analysis of arianct for thl regr(ssion of moisturp conttnt and logltlshyrithmic d(nsity on logarithmic comrrpssin [orct for a modl1 balp pnss ~)
H Regrpssion analysis of tlw forct rlquil(d to compnss lint cotton in a
1l1)cl(1 hal( PI(SS bull bull bull bull bull bull bull bull bull bull bull ~)
Wllshingtol1 I)C Iss-llcd locmbcr Ifl7G
DETERMINATION OF THE COMPRESSIVE
CHARACTERISTICS OF LINT COTTON
vVITH A MODEL BALE PRESS By ST-IEY -TIIOY and OIlImiddotR L )1 ((SI(III (IfricuIIUCl (ngill((s e8 Colton Ginlltllf [(search
LaJIIltIlory Africuitur(li lks(llrch S(rli(( U8 [)11(1rtlll(l1 o( Africuiwf( 8toltlilt Iiss
ABSTRACT
A split-plot ex(wrin1tntal dlsign was uSNI to (aluatl the force rlqulled to compress lint cotton in a mod( bale pr(ss with a cross-sectional area of 144 squan inciws Two significntly different variclies of cotton four lint moisshytuJ(S six clPnsitics and thrp( quantitips of cotton (r( lIsCd as independent variablls Statistical analysis of data inciicatcd that the pffpct of lint moistur( contcnt dpnsity quantity of cotton and thl interaction lwtwlcn moisture and quantity wpre significant at the I-pcrc(nt lev(1 of probability 111( interaction hptw(en ariPty ancl moistuJ( wus significant at tlw ii-plrClnt Iepl of probashybility Yariety and tl)( remaining interactions WCI( not significant at til( ii-p(rshy
(pnt 1lC1 A multiplp linCar rpgrCssion analysis was pNformed on the (ombimd Stonpvilk 21) ancl Pima 8-2 data in ordpr to cllwlop a prpcliction lquation for the modcl balC prpss Tht accuracy of tlw precliction (quat ion was increasCcI greatly Iwn logarithmic (hasp 10) transformations lr( madp for compressin forcl and dpnsity Thp rpgnssion analysis indicatCd that quantity of cotton was not a significant factor in tht for(t relttllind to comprlSS lint cotton Tht prediction equation is alid for the rangl of variabl(s inv(lstigat(d in a pr(SS with a cross-sectional arta of )t sqllan inch(s Qualitativ( but not quanshytitativp infpnl1cls rplativ( to oUwr sizts of prpsses can bl drawn from tl1( 1(shy
suits of this txplrinwnt Thl qualitativ( infeJ(nc(s inclu(p til( form of til( lquation govtrning til( ((Jmprtssin forcL nlriablts involvCd and till diJ(cshylion of influpnCl of thp variablts
INTRODUCTION
Ill( systpm by which lint (otton is packagtd in AnHrican gins has b(lpn criticiz(d sinc( its btginning in tilt I~)th (pntury Widtly di(rSl packaging nw[hods and til( prUllc( of sampling a bait aftpl it is packagCd combirwcl with tlw rough handling that a halt l(cCiVCs during shipshynwnt procluc( what is oftltn callpd til( Ugly AnwrieHn 13alp ())
i numlllr of ball tY1ws [It( produCPcl in til( Unittc1 StallS including tl1( (II gin flat (2)
Hahl ntlmJ(s in plInt Iwp r([pr to ilPlllS in Liltshy
11Irlt Citpd p 10
modified flat (g) gin standard (j) gin uninrshysal c1pnsity and (fJ compnss unkprsal (iPnsity I~ach of lhls( tV()(5 is com(Jr(ssCd to n dtnsity and I(slrnintd at a I(ss(r dCnsity tl1( d(nsity in (ach Clt1S( Iwing dp(wn((nt on lIw capaililili(s of lIw pn5S which ur) from OIH systPtn to mot hll FlIrthprm()I( gin flat and ll10difipd flat baitS arC usually J(-pnsspdin a (omprpss aflpr initial packaging in a gin prpss (hPJal llwn is (onshysi((Iahl( ltlriatioll in Silt shape nnd d(nsily among bal(s packagltd in diff(llnt systpms
B(caLls( tlw UrlOUS packaging systems produc( bnlls of diffeJlnt sirPs shapes and dtllsili(s s[vlral handling tpcIJniqu(s and modes of transshyportntion llJe lIs(d to 1ll00C IJalls of (olton to
their ultimah~ destination Handling damages frequently occur
Efforts are being made to improve the appearshyance and quality of the American cotton ball (6) Automatic sampling at the gin prior to ball packaging now being used on a limited scale (7) has the potential to greatly improve the exshyternal appearance o[ the bale The trend toward producing only three types of bales-the modishyfied flat the gin universal and the compress universal bale- will also help do away with many irregularities in American bales The modifiltd flat bale is intended for domestic lise whereas the last two types may be exported The gin unishyversal cltnsity bale is produced in a gin system capable of packaging a bale at a dlnsity of at least 2t pounds per cubic foot Tlw compress univlrsal density bale is producld by re-pressing a modified flat ball in a compress
Once pstablish((l the ntW packaging system will standardize sizes shapes and densities of bales and that in turn will permit standardizashytion of handling equipment and op(rations which will minimize handling damages Despit( tlwse ongoing improvements howletmiddot improving tlw Anllrican cotton bale llquires more technology in many anas OIl( such lWld is the lstablishshyment of a prediction equation for the forc( reshyquired to comprlss lint cotton Ill( prCdiction equation would provid( manufaeturlrs with basic criteria to be used to satisfaclorily d(sign COIllshy
prlssi ve systems Because sewral conflicts txist in publislwcl
information pNtaining to till fnrcl rlquirld to compress lint cotton ( middot1 ~ 1)) this imlstishygation was llndprtaken to dptlrminl tIlt forcl llmiddotquirecl to comprpss lint cotton and to resol( the conflicts in previously collletld data Sonw of tIlt mort ((tsily I((ogniztd ariabks of which this force is a function are (I) 1I1l lint llloislull content (21 tht d(nsity to which lIw lint cotton is cOlllprtssecl (11 1Ill quantil of cotton I)(ing co III Plcss(d (middot1) tIl( physical proplllits of t 11( lint cotton (i) tl( distribution of tlw lint within tl( pnss box (()) tIl( tinw ralt of (olllpnssion (71 llw siz( of tIll pnss box (Inc (11) til(gt friction of tlw cotton on thl Pl(ss box alls Thi study s((ks to e tablish tIl( significantl of Llw abot variahlls in tlH cornpnssion of lint coUon
EXPERIMENTAL PROCEDURE The initiul sUP in cleloping un (middotquation til
I(pl(spnt (middotompnmiddotssinmiddot forel is tIll (slnhlishnwnt
of the basic form of the relationship governing the force required to compress lint cotton Prelimishynary investigation with the variables mentioned in the introduction indicated that four of those variables could adequatelT describe much of the variation in the data for a press of a given size These variables were lint moisture content denshysity quantity of cotton and physical properties of the cotton
Physical properties of cotton vary between and within varieties depending on genetic makeup growing conditions and so forth There has been much speculation on the compressive charactershyistics of different varieties of cotton especially those of different staple length strength and micronaire If eVNY variety o[ cotton were conshysidered variation of each of til( many physical properties would require a test too larse to be manageable For this reason testing between two difflltnt varietils (Stoneville 213 and Pima S-2) with widlly differing physical proplltils was considlrecl as a Sllitahlt altlrnativ(
Rlsearch lvaluating tiw forcl rlqllind to comshypnss lint cotton us concluctld with four factors ariCty moistul( cont(nt d(nsity ancl quantity Using2 arietiesmiddotl moistults (j d(nsities a qUell1shytitits of cotton and ~ rlplieations wouid l(quin middot132 t(st lots 110 (Vll (i cllmiddotnsit 1((ls c(ln 1)( obtain(cI from 1 t(st lot of (otton by conlinuously monitoring the changl in cltnsity thenby rldllCshying tIll rlquirld nUllll)(r of tpst lots to 72 Each llst lot in a full-size systcm l(quins an ltItragt of i()O pounds of lint cotton Using 72 of thesp )OO-pound lots to conduct an lqwrinwnl of this natul( would not 1)( physically or t(ol1omically fl(1sihl(middot
It was fllt that tilt mod1 baitmiddot pnss at tIH lS Cotton Ginning Hes(arch Laboratory StOll(shymiddotill ~Iiss could bl us(d to dlllop detailpd Cjualitati( information rllative to tIl( foret 1(shy
qllirtd to Comprcss lint cotton Ind nndd llCJuin substantially llsS (otton tllllll a full-sitlmiddot Pl(ss Ill( ll1ocl1 pr(ss box hus n llOSS-Sctionnl HrlU of 111 sqllHngt inclws as lO11ptll(c1 to n full-sizl p1lS box which InnglS from 1()~i to 1lii sqUl1r( inciws and is iO incllls dlgt(p or lpproxil11nllly
tlw sanw clpth as a rull-sizt pr(ss hox Tlst lots of approximatply li pounds nn l(quind for tilt mo(kl bal( pnss which nHanS lhat tIl( nlOdt1 bah pnss nmiddotquinmiddots onl) 1 P(gtl(Pllt us Illuch CottOll as in tilt fllll-siZ(gt systlll1 -li-gallon-ppr-minshyutp hydraulic pllmp clrinll by a i()middothorSlI)()Wcmiddotr (Ipetric Illotm d(V(lops lompngtssi( fOl(P in llll
1 ~I 1 -
Ft([ W I lplltlekin mo(h-I hall pn~ h() n wil1l pnmiddot box duol Uptn
modtl prpss systtm The hydraulic systlm lPshyvplops prlSSllrl on an K middot-inch-dianwttr upshypacking ram Tlw model ball PISS is shown in figurp I Tlw hydraulic systpm is locattd outshyskll tlw building
Similitude analysis indicattd that only tlw form of thl rllationship (iintar Cxpotwntial quadratic logarithmic etc) and thl rllnti( importanc of each ariable could w casily dpt(rminecl from a modd hailgt press sinc( quantitativp I(sults would llquirl thl (alualion of slvtral distortion factors
Furthermot( the accuracy of tlw (xpprinwnt would )( incrpaspd substantially by using tlw mocipl systtm (2) First sincc less cotton w(Hdel 1)( lquiled to conduct an lxpcrimcnt with the mOcl1 systtm the homogtnpity of thtmiddot samplp lots could Iw grtatly incrpaslc hlcaust uniform physical proptrtils arp mOrt tasily ohtaimmiddotd with smalllr quantitits of colton Stc()Jld bpC(lus( tlw model hale PllSS is located in a c1imaticnlly conshytroll((1 building moisture distribution could Ilt kept uniform in tht (xplrinwnlal lots hy condishy
tioning at constant temp(rature and relativ( humidity Third the instrumentation used to monitor the compressive force in the model bale press is more accurate than the instrumentation in a full-size bale prpss
A randomizp( completl-block split-plot experishymental dlsign was used to lall1ltlte the force reshyquired to compress lint cotton 10 arietils of cotton Stol1Eille 213 and Pima S-2middot four le(ls of moisture content six densities three quanti shyties of cotton and three replications wert used
The sepd cotton used in the exppriment was mechanically harvestlC1 and hlld in storage apshyproximately () months Iwfore Iwing proclssld through thrpe stages of sped-cotton-cleaning machinlry in a full-size ginning systll11 The seed cotton was thln conditiontd and gil1lwd at the rang(s of tempprature and rllativC humidity shown in tahle 1 1lw slpd cotton was diviltiPd into lots of approximntlly 30fi and ()) pounds and placpd on middoti-foot-wid( by ~-f()()t-Iong storagt trays TIl( storagp trays (Il spactd 12 inclws apart wrtically to allo tht conditioning air to circulatp fr(ely through till stpel cotton Afltr the lint portion of tlw slpd cotton Jtuclwd lltIuishylibrium with thl conditioning nil tpst lots pl( procpsstd through tIll l11odt1 gin stand and (Jill
lint cllaner lXllpt for lIw lots at till low llloisshytUJlCOl1tlnt 1((1 (1((1 1J For til( lots at tilt
I() l11oistur( 1ll1 two l11ultipath tOWPI dliPrs o[wrntpd at 2i()J F (121P C) (Il also llstd in thl ginning slqupnC( imnlldiatliy l)(f()Il lh( gin stand On(( through thl gin stand till lint as fpel into till modtl balC pnss ia a colltiPns1 and a lint slidp and tlw COlton tramrlld lJy hnnd into tilt PL(SS hox
Tlw compnssiv( for(( wus nWltlsllrpd by l1~ing
TMlLE l-falges III ll1Il1(raluI( (lwl Ielcttil(
hUlIidily llsec II) ((wliti(11 owl gill Ih wert
C()Oll
(middotor(hll nln~[111 t (jtnlllf1~ ran
1lnt rangnlj)i~lunmiddot11101il urp Itlilt i Tl1lp ItIII TIlIlIl
nltnl11(1 ( I
humidit Il UI hIlIlWhl ~lll1n
I 1 I Fl ( 11
- 1 -1middot) qO fI_~ ~ ~ III~q 1 I ~h 11- i 7-711 a ~ - l 7-
1-[ J 1~ -1 --J~ If ~ ~ ~~l-~L~
- - ~HJ-~L-)1- -III 71~-1
IIltmiddots m till ltI(rl~( a wit 1(1 tor h th illIPtils
of (otton
( tlon il nndil iflllld fur a IlIlillcl I It hmiddot 1 hOlils
Sttc1 t~(tton dlp Pl1 u p(1 tel ItWIl tht tllllttlln
nlIl
a force transducer in conjunction with an eightshychannel direct-writing strip chart recorder Thl lOOOOO-pouncl-capaciLy transducer was placed on the fixed platen at the top of the press to monitor the force rlquirecl to compress the test lots The millivolt output of the tranducer was recorded O1 six channels with successively overlapping ranges
As the ram was forced up by hydraulic fluid the change in press )0( volume was monitored continuously by measuring the ram tranl Two microswitclws broke an eiPctrical circuit and nctuated l-ent markprs on the recordti for epry inch and twry olw-tighth inch of ram mO-emlnt The duplicate systt111 of monitoring tht changt in prtss-box -olume was necessary because of the exponential dflct of tlw change in volunw on dpnsity Since the quantity of cotton was conshystant for each test lot thp density of thp cotton could be (ktermintd in small incrpments by utishylizing thp change in platen separation as indicatpe by tlw microswitches Densities were computed by ehiding tlw quantity (weight) of cotton by the olull1e that tlw cotton coule occupy as dt-
TABLE J-LeLes 0 moisturC cOltcll1 used ill ([(llllalillg lhe c()l7lpressite characlerislics ()j Sloletil( nr ((Ile Pima S-2 (ottOII
Ball Iistllrt (ont(nt [
dpoi~nltt ion Pima S-
2 III
17 2~)
~-JO ~ ~)
I
11
I -
lid
I))J
1 -- li71
11 I
I ~
lrig(1 )il
fllIS aI- ltIVlrHgr- I J ~i1lllpl(s ]t ([(h Ilf 1 f1middotplil[middot I lOllS TIl( IndlIWndlnt vIIIdI( dpnsitv as Invlitigatld
iH l~ 17 17 ~~ untl r lhft Illlt hI digit fir hillmiddot dloignalioll I1l1mb t indi(Il~ till
mlliitllll (IlJlIln( 11([ tilt d tillt qlliln(i( 1(11
I
termintc1 by the location of the bottom platen reiati( to the top platen
RESULTS Independent Variables
The various moisture contents and quantities of cotton used in this study arc shown in tables 2 and 3 respectiv(y The levels arc indicattd for lHch varilty of cotton A vlIage moisture conshytents of 237 47G (Un and Hiiii percent were used The aCrage quantities of lint cotton used were lOGmiddot lii~)() and 21iiG pounds Dlnsities of 12 17 22 27 32 and 37 pounds per cubic foot (r( imtstigated
The two arieties of cotton used hav( different genetic characteristics and w(r( produc(d in difshyfll(nt growth ll1ironmlnts As a rlsult their lint physical propertits wert different The StOI1lshyvilll llr was grown at Stonlville ~[iss undtr high-humidity nonirrigattC1 conditions and the Pima S-Jmiddot was grown at Las CruclS ~ ~Iex
uncleI low-hull1idity irrigatlcl conditions Vith tlw exclplion of maturity indlx tl1( two aritties of cotton had sign i ficant ly eli ff(rent (l-rwrclnt
(Conlillled UI page
TABU 3 ~ Quantily 1(Iels uscd ill (lcdllatillg the COI1l[UCSSil( clw(clerislics ojSlo(ille 21] alld Pima lt-2 cotton
ld (~lIfll1til) 11111 dp-ignrltion lil11i1 s-t
II III 11 III JII
I II 11 lI1l
1 1110 1()~r
11 111- 111l
In) 1111)
I [Ii II II 711 11 i ~IJ 1- III
~ 1poundi -17 1-)17
1 1h--- J- ~)
111[1 11 1- I
I I (J ~ I)
)) 1 1lI
~ 17 (L~IK
bull IIJ III
2 ~ II~)
(Jllall ltIllag 1111)0 1- I
middotaltl ittP atfflgP oj BJnpltmiddot for puch 01 n~plimiddot
(I(lll~ TIll InclltPIIHIlIl( gtrIdtmiddot d(middotn~i( IIltlS intmiddot~timiddot Ulttd (It J~ 17 7~ ~2 Hilti 7 III ft
TIllt 11 digit III I hI hnl d-ignalitln nlllnlwr inditmiddot1I1o
1111 I1jtllll tIlntll1l 1(11 Ill d [Illt quantity 1(11
TABLE I-Physical properties used to desilfllate varieal differences of StOIl([iC 21] and Pima 8-2 cottons l
(nuslicnirp I-licronailCFibloglnph 811lnglh
Ilading Hali ~ )( Hpnn II niformil~ Is-inlh gagl ~IHtUImiddotill Fin(I1Pss
indlX () (ugin)dlsignat ion Ipngth lin) Iutin () (gllX) 8211 Pima
S211 PimaIinlll SHl PirnnS211 linHl 821 Pima S211
aH7 )(iO middotloa117 middot117 21() l2middot1() 7) 7~~7 middot170
11 lllHO L2il 1031~)7 -177 (n middotIGO
12 LOS7 12lj7 117 middotI 7 210l 1117 iHt l(n u 01
11 lOS l2(ll) middot111 middot131 21m 121 Idl 71)1 middot170
37middot1 Ilill middotIO1Li 2121 1210 Ir0 rO middotL7lOSl 121 IlliAlrIW
171 l(iO U17 21 l (I) 12Hll 1(10 ImiddotO 2111 12middot17 7x7 tH7 middotL70
7~)~7 middot1ri7 171 middot1flO 107 2 l 1III _ I 1middot171 - shy middot10 211 1200 71l
7H7 7HO middot171 177 IGO U)7 )1 1107 1H7 li7 middot1middot17 211 12211 _l
I ~)~() 1middot1 211II l~)~ 7KD 7t-iH middot170 371 middotIGO i)OO4 PI~ugt~ bullbullbull IIll7 L2HI
7~l7 middot1Cn 1(jJ I()() middot100If) 21nl U 710
7~1 7H7 middotlli1 177 lfi) 10011 1 121 1111 1ll7
12 1 1l 1111 Ili7 middot11l 2117 1211 middot170 177 middot1(iO 100211ilgt 0 iU7 7Hi 1120 1107 1711 Ia
11 J )( lI (Jl) 7~1l 7)1l li7 3 72 ~15S 400 (llage Ll loH middotlLH =~~ -==----=--~-
I 1jl 1GO 4001Uil 7~L7 7DI 157 LID
II 1110 111 0 171 17 2211
12 I 117 11211 middotIHII III 7 2IO ll1Il 7JO 711 middotun a77 1(jO U7 Ii1 middot100
171 middotfLU 2171 1LliO HOO is7middot1 1 1)7 LII7
middot03 170 middotIfj(] 01 Lalli 17 lIi1 11 1llS 7~LI 711 l~rngl 11lK
(hprnll 1middotHHh ~1r12H 12711gt i~L lH 7~IOn middotIlH1 172h middot1GOa middot102b
1112n 12l2h middotlIi1211H(IUgl
(indl indlx ( )Lint flllli11 Stnpll tngl h 11lUt lpl~ Contpnt Lpnf Composile( 1middot12middotjnl Clor
11
S211 llj Ina S2ll Pimn 821 Pima 8213 Pima S21 Pi 111lt1
120 Il 1middot11 III7 Hmiddot10 102H 940 1027 II 1 1 ~ J middotImiddotUI
12 112 1middot11) H~ 1 )middot10 102middot1 )Il 102li 940 1024
J10 1O7 940 1024177 lmiddotU) 1021I ) 1middot11 middotImiddotI ~77
lmiddotIO 107 940 1025 ~~ ) I~) 1middot10 102
tlrlg(l JmiddotI middotImiddotU
~p ~ 10O 91(i 102011 ImiddotO 1 IK ~~ ImiddotIO 1UJI
21 Illo nnH 1l0 1112ll Hl1 99S
271 21 120 lOO ~)2(i 1020 111 1111
l lll 111202 gt-12 I LII 271
)20 IllO l2il 1011 H~) 220 lItl 101
tYlmiddotra~(l 111 I LO ~--==-=--=
) SlP footntlts at lnd of tahll
0)
TABLE middotJ-Physica properies llsed to desigllate Iarieta difCCIlC(S of StollcIille 213 alld Pima S-2 coltollsl-Continucd
Lint for[ign Grnli( indtx ( IStapl IlngthBall (nut lPI~ tonU)l1t dpsignHtlon
(I l-inl r J Color Lpuf Compositl
S] Iimn Sll Pi 11111 S Ii I11n SIl Pi 11111 S211 PilllH 11 l
bull vlmiddotragl
1
11
l-IH
middotl~
1middot111
IU) middotILI
111l
amiddotIl aHJ
amiddotI1
Uil
poundl IH
middotIO
lii
111l
)I(J
)I()
l)
WII WIll)
]() 1middot1
j() 1middot1
HIlo
iiO lltii1l
1ltbullbull0
1U1l1
Ill lOO
lOO]
HHO I()l
IltKJ
HH1
101middot1 HH7 1003 --shy ---shy ~- shy]00]
11
I I
vPIUJ4P
1lCJ -11) )0
1-11
111l
middot1111
110
middotImiddotID
middot11]
IS()
)1lt
1011
~7()
lin ~l
) -)
1
II1l BIn )IO
)middotIO
llHl)
101middot]
lHlli
WObull
f)IlO
1iIO
l20
JOa
mI Iiibull
n7H
lBii
)oo In2 lO7 1H7 )11 H7(
--~ ------~--
UO() 085 Oqral
aVlmiddotagll lt a I Ii I Lob lllla 2()h 1)middotIlla lOUih lOlltn lOtJHiJ 915a 100Gb
lValtlll- an Ilragls of a slIllplls fl pnch of 1 r(plications nlll(S dlurmilwd hy (otton Division Agriculturul -lnrk(ting S(Imiddoticlt CI(mson SCbull with thl lxl(ption 01 valu(s 101 tupl Ilng-th and grnd(middot imiPx whkh (n dltlllllinpd h) tIll (olton Dimiddotision Agricultural -larklling Sprvict Orl(I1ood 1li8
TIll 1st numhr nI(middot tll (Ill l1loislllJ( (onllIH hl1 d to tIl( CJuantity I[p
(hrlt111 ltllragps nol follo-tmiddotd by till sanl Itllpr aI( signifkantlv difflrlnt at tIl( 1 1(lt101 (lroJnhilitgt liS d(IlIminpd by l--lpllL
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
DETERMINATION OF THE COMPRESSIVE
CHARACTERISTICS OF LINT COTTON
vVITH A MODEL BALE PRESS By ST-IEY -TIIOY and OIlImiddotR L )1 ((SI(III (IfricuIIUCl (ngill((s e8 Colton Ginlltllf [(search
LaJIIltIlory Africuitur(li lks(llrch S(rli(( U8 [)11(1rtlll(l1 o( Africuiwf( 8toltlilt Iiss
ABSTRACT
A split-plot ex(wrin1tntal dlsign was uSNI to (aluatl the force rlqulled to compress lint cotton in a mod( bale pr(ss with a cross-sectional area of 144 squan inciws Two significntly different variclies of cotton four lint moisshytuJ(S six clPnsitics and thrp( quantitips of cotton (r( lIsCd as independent variablls Statistical analysis of data inciicatcd that the pffpct of lint moistur( contcnt dpnsity quantity of cotton and thl interaction lwtwlcn moisture and quantity wpre significant at the I-pcrc(nt lev(1 of probability 111( interaction hptw(en ariPty ancl moistuJ( wus significant at tlw ii-plrClnt Iepl of probashybility Yariety and tl)( remaining interactions WCI( not significant at til( ii-p(rshy
(pnt 1lC1 A multiplp linCar rpgrCssion analysis was pNformed on the (ombimd Stonpvilk 21) ancl Pima 8-2 data in ordpr to cllwlop a prpcliction lquation for the modcl balC prpss Tht accuracy of tlw precliction (quat ion was increasCcI greatly Iwn logarithmic (hasp 10) transformations lr( madp for compressin forcl and dpnsity Thp rpgnssion analysis indicatCd that quantity of cotton was not a significant factor in tht for(t relttllind to comprlSS lint cotton Tht prediction equation is alid for the rangl of variabl(s inv(lstigat(d in a pr(SS with a cross-sectional arta of )t sqllan inch(s Qualitativ( but not quanshytitativp infpnl1cls rplativ( to oUwr sizts of prpsses can bl drawn from tl1( 1(shy
suits of this txplrinwnt Thl qualitativ( infeJ(nc(s inclu(p til( form of til( lquation govtrning til( ((Jmprtssin forcL nlriablts involvCd and till diJ(cshylion of influpnCl of thp variablts
INTRODUCTION
Ill( systpm by which lint (otton is packagtd in AnHrican gins has b(lpn criticiz(d sinc( its btginning in tilt I~)th (pntury Widtly di(rSl packaging nw[hods and til( prUllc( of sampling a bait aftpl it is packagCd combirwcl with tlw rough handling that a halt l(cCiVCs during shipshynwnt procluc( what is oftltn callpd til( Ugly AnwrieHn 13alp ())
i numlllr of ball tY1ws [It( produCPcl in til( Unittc1 StallS including tl1( (II gin flat (2)
Hahl ntlmJ(s in plInt Iwp r([pr to ilPlllS in Liltshy
11Irlt Citpd p 10
modified flat (g) gin standard (j) gin uninrshysal c1pnsity and (fJ compnss unkprsal (iPnsity I~ach of lhls( tV()(5 is com(Jr(ssCd to n dtnsity and I(slrnintd at a I(ss(r dCnsity tl1( d(nsity in (ach Clt1S( Iwing dp(wn((nt on lIw capaililili(s of lIw pn5S which ur) from OIH systPtn to mot hll FlIrthprm()I( gin flat and ll10difipd flat baitS arC usually J(-pnsspdin a (omprpss aflpr initial packaging in a gin prpss (hPJal llwn is (onshysi((Iahl( ltlriatioll in Silt shape nnd d(nsily among bal(s packagltd in diff(llnt systpms
B(caLls( tlw UrlOUS packaging systems produc( bnlls of diffeJlnt sirPs shapes and dtllsili(s s[vlral handling tpcIJniqu(s and modes of transshyportntion llJe lIs(d to 1ll00C IJalls of (olton to
their ultimah~ destination Handling damages frequently occur
Efforts are being made to improve the appearshyance and quality of the American cotton ball (6) Automatic sampling at the gin prior to ball packaging now being used on a limited scale (7) has the potential to greatly improve the exshyternal appearance o[ the bale The trend toward producing only three types of bales-the modishyfied flat the gin universal and the compress universal bale- will also help do away with many irregularities in American bales The modifiltd flat bale is intended for domestic lise whereas the last two types may be exported The gin unishyversal cltnsity bale is produced in a gin system capable of packaging a bale at a dlnsity of at least 2t pounds per cubic foot Tlw compress univlrsal density bale is producld by re-pressing a modified flat ball in a compress
Once pstablish((l the ntW packaging system will standardize sizes shapes and densities of bales and that in turn will permit standardizashytion of handling equipment and op(rations which will minimize handling damages Despit( tlwse ongoing improvements howletmiddot improving tlw Anllrican cotton bale llquires more technology in many anas OIl( such lWld is the lstablishshyment of a prediction equation for the forc( reshyquired to comprlss lint cotton Ill( prCdiction equation would provid( manufaeturlrs with basic criteria to be used to satisfaclorily d(sign COIllshy
prlssi ve systems Because sewral conflicts txist in publislwcl
information pNtaining to till fnrcl rlquirld to compress lint cotton ( middot1 ~ 1)) this imlstishygation was llndprtaken to dptlrminl tIlt forcl llmiddotquirecl to comprpss lint cotton and to resol( the conflicts in previously collletld data Sonw of tIlt mort ((tsily I((ogniztd ariabks of which this force is a function are (I) 1I1l lint llloislull content (21 tht d(nsity to which lIw lint cotton is cOlllprtssecl (11 1Ill quantil of cotton I)(ing co III Plcss(d (middot1) tIl( physical proplllits of t 11( lint cotton (i) tl( distribution of tlw lint within tl( pnss box (()) tIl( tinw ralt of (olllpnssion (71 llw siz( of tIll pnss box (Inc (11) til(gt friction of tlw cotton on thl Pl(ss box alls Thi study s((ks to e tablish tIl( significantl of Llw abot variahlls in tlH cornpnssion of lint coUon
EXPERIMENTAL PROCEDURE The initiul sUP in cleloping un (middotquation til
I(pl(spnt (middotompnmiddotssinmiddot forel is tIll (slnhlishnwnt
of the basic form of the relationship governing the force required to compress lint cotton Prelimishynary investigation with the variables mentioned in the introduction indicated that four of those variables could adequatelT describe much of the variation in the data for a press of a given size These variables were lint moisture content denshysity quantity of cotton and physical properties of the cotton
Physical properties of cotton vary between and within varieties depending on genetic makeup growing conditions and so forth There has been much speculation on the compressive charactershyistics of different varieties of cotton especially those of different staple length strength and micronaire If eVNY variety o[ cotton were conshysidered variation of each of til( many physical properties would require a test too larse to be manageable For this reason testing between two difflltnt varietils (Stoneville 213 and Pima S-2) with widlly differing physical proplltils was considlrecl as a Sllitahlt altlrnativ(
Rlsearch lvaluating tiw forcl rlqllind to comshypnss lint cotton us concluctld with four factors ariCty moistul( cont(nt d(nsity ancl quantity Using2 arietiesmiddotl moistults (j d(nsities a qUell1shytitits of cotton and ~ rlplieations wouid l(quin middot132 t(st lots 110 (Vll (i cllmiddotnsit 1((ls c(ln 1)( obtain(cI from 1 t(st lot of (otton by conlinuously monitoring the changl in cltnsity thenby rldllCshying tIll rlquirld nUllll)(r of tpst lots to 72 Each llst lot in a full-size systcm l(quins an ltItragt of i()O pounds of lint cotton Using 72 of thesp )OO-pound lots to conduct an lqwrinwnl of this natul( would not 1)( physically or t(ol1omically fl(1sihl(middot
It was fllt that tilt mod1 baitmiddot pnss at tIH lS Cotton Ginning Hes(arch Laboratory StOll(shymiddotill ~Iiss could bl us(d to dlllop detailpd Cjualitati( information rllative to tIl( foret 1(shy
qllirtd to Comprcss lint cotton Ind nndd llCJuin substantially llsS (otton tllllll a full-sitlmiddot Pl(ss Ill( ll1ocl1 pr(ss box hus n llOSS-Sctionnl HrlU of 111 sqllHngt inclws as lO11ptll(c1 to n full-sizl p1lS box which InnglS from 1()~i to 1lii sqUl1r( inciws and is iO incllls dlgt(p or lpproxil11nllly
tlw sanw clpth as a rull-sizt pr(ss hox Tlst lots of approximatply li pounds nn l(quind for tilt mo(kl bal( pnss which nHanS lhat tIl( nlOdt1 bah pnss nmiddotquinmiddots onl) 1 P(gtl(Pllt us Illuch CottOll as in tilt fllll-siZ(gt systlll1 -li-gallon-ppr-minshyutp hydraulic pllmp clrinll by a i()middothorSlI)()Wcmiddotr (Ipetric Illotm d(V(lops lompngtssi( fOl(P in llll
1 ~I 1 -
Ft([ W I lplltlekin mo(h-I hall pn~ h() n wil1l pnmiddot box duol Uptn
modtl prpss systtm The hydraulic systlm lPshyvplops prlSSllrl on an K middot-inch-dianwttr upshypacking ram Tlw model ball PISS is shown in figurp I Tlw hydraulic systpm is locattd outshyskll tlw building
Similitude analysis indicattd that only tlw form of thl rllationship (iintar Cxpotwntial quadratic logarithmic etc) and thl rllnti( importanc of each ariable could w casily dpt(rminecl from a modd hailgt press sinc( quantitativp I(sults would llquirl thl (alualion of slvtral distortion factors
Furthermot( the accuracy of tlw (xpprinwnt would )( incrpaspd substantially by using tlw mocipl systtm (2) First sincc less cotton w(Hdel 1)( lquiled to conduct an lxpcrimcnt with the mOcl1 systtm the homogtnpity of thtmiddot samplp lots could Iw grtatly incrpaslc hlcaust uniform physical proptrtils arp mOrt tasily ohtaimmiddotd with smalllr quantitits of colton Stc()Jld bpC(lus( tlw model hale PllSS is located in a c1imaticnlly conshytroll((1 building moisture distribution could Ilt kept uniform in tht (xplrinwnlal lots hy condishy
tioning at constant temp(rature and relativ( humidity Third the instrumentation used to monitor the compressive force in the model bale press is more accurate than the instrumentation in a full-size bale prpss
A randomizp( completl-block split-plot experishymental dlsign was used to lall1ltlte the force reshyquired to compress lint cotton 10 arietils of cotton Stol1Eille 213 and Pima S-2middot four le(ls of moisture content six densities three quanti shyties of cotton and three replications wert used
The sepd cotton used in the exppriment was mechanically harvestlC1 and hlld in storage apshyproximately () months Iwfore Iwing proclssld through thrpe stages of sped-cotton-cleaning machinlry in a full-size ginning systll11 The seed cotton was thln conditiontd and gil1lwd at the rang(s of tempprature and rllativC humidity shown in tahle 1 1lw slpd cotton was diviltiPd into lots of approximntlly 30fi and ()) pounds and placpd on middoti-foot-wid( by ~-f()()t-Iong storagt trays TIl( storagp trays (Il spactd 12 inclws apart wrtically to allo tht conditioning air to circulatp fr(ely through till stpel cotton Afltr the lint portion of tlw slpd cotton Jtuclwd lltIuishylibrium with thl conditioning nil tpst lots pl( procpsstd through tIll l11odt1 gin stand and (Jill
lint cllaner lXllpt for lIw lots at till low llloisshytUJlCOl1tlnt 1((1 (1((1 1J For til( lots at tilt
I() l11oistur( 1ll1 two l11ultipath tOWPI dliPrs o[wrntpd at 2i()J F (121P C) (Il also llstd in thl ginning slqupnC( imnlldiatliy l)(f()Il lh( gin stand On(( through thl gin stand till lint as fpel into till modtl balC pnss ia a colltiPns1 and a lint slidp and tlw COlton tramrlld lJy hnnd into tilt PL(SS hox
Tlw compnssiv( for(( wus nWltlsllrpd by l1~ing
TMlLE l-falges III ll1Il1(raluI( (lwl Ielcttil(
hUlIidily llsec II) ((wliti(11 owl gill Ih wert
C()Oll
(middotor(hll nln~[111 t (jtnlllf1~ ran
1lnt rangnlj)i~lunmiddot11101il urp Itlilt i Tl1lp ItIII TIlIlIl
nltnl11(1 ( I
humidit Il UI hIlIlWhl ~lll1n
I 1 I Fl ( 11
- 1 -1middot) qO fI_~ ~ ~ III~q 1 I ~h 11- i 7-711 a ~ - l 7-
1-[ J 1~ -1 --J~ If ~ ~ ~~l-~L~
- - ~HJ-~L-)1- -III 71~-1
IIltmiddots m till ltI(rl~( a wit 1(1 tor h th illIPtils
of (otton
( tlon il nndil iflllld fur a IlIlillcl I It hmiddot 1 hOlils
Sttc1 t~(tton dlp Pl1 u p(1 tel ItWIl tht tllllttlln
nlIl
a force transducer in conjunction with an eightshychannel direct-writing strip chart recorder Thl lOOOOO-pouncl-capaciLy transducer was placed on the fixed platen at the top of the press to monitor the force rlquirecl to compress the test lots The millivolt output of the tranducer was recorded O1 six channels with successively overlapping ranges
As the ram was forced up by hydraulic fluid the change in press )0( volume was monitored continuously by measuring the ram tranl Two microswitclws broke an eiPctrical circuit and nctuated l-ent markprs on the recordti for epry inch and twry olw-tighth inch of ram mO-emlnt The duplicate systt111 of monitoring tht changt in prtss-box -olume was necessary because of the exponential dflct of tlw change in volunw on dpnsity Since the quantity of cotton was conshystant for each test lot thp density of thp cotton could be (ktermintd in small incrpments by utishylizing thp change in platen separation as indicatpe by tlw microswitches Densities were computed by ehiding tlw quantity (weight) of cotton by the olull1e that tlw cotton coule occupy as dt-
TABLE J-LeLes 0 moisturC cOltcll1 used ill ([(llllalillg lhe c()l7lpressite characlerislics ()j Sloletil( nr ((Ile Pima S-2 (ottOII
Ball Iistllrt (ont(nt [
dpoi~nltt ion Pima S-
2 III
17 2~)
~-JO ~ ~)
I
11
I -
lid
I))J
1 -- li71
11 I
I ~
lrig(1 )il
fllIS aI- ltIVlrHgr- I J ~i1lllpl(s ]t ([(h Ilf 1 f1middotplil[middot I lOllS TIl( IndlIWndlnt vIIIdI( dpnsitv as Invlitigatld
iH l~ 17 17 ~~ untl r lhft Illlt hI digit fir hillmiddot dloignalioll I1l1mb t indi(Il~ till
mlliitllll (IlJlIln( 11([ tilt d tillt qlliln(i( 1(11
I
termintc1 by the location of the bottom platen reiati( to the top platen
RESULTS Independent Variables
The various moisture contents and quantities of cotton used in this study arc shown in tables 2 and 3 respectiv(y The levels arc indicattd for lHch varilty of cotton A vlIage moisture conshytents of 237 47G (Un and Hiiii percent were used The aCrage quantities of lint cotton used were lOGmiddot lii~)() and 21iiG pounds Dlnsities of 12 17 22 27 32 and 37 pounds per cubic foot (r( imtstigated
The two arieties of cotton used hav( different genetic characteristics and w(r( produc(d in difshyfll(nt growth ll1ironmlnts As a rlsult their lint physical propertits wert different The StOI1lshyvilll llr was grown at Stonlville ~[iss undtr high-humidity nonirrigattC1 conditions and the Pima S-Jmiddot was grown at Las CruclS ~ ~Iex
uncleI low-hull1idity irrigatlcl conditions Vith tlw exclplion of maturity indlx tl1( two aritties of cotton had sign i ficant ly eli ff(rent (l-rwrclnt
(Conlillled UI page
TABU 3 ~ Quantily 1(Iels uscd ill (lcdllatillg the COI1l[UCSSil( clw(clerislics ojSlo(ille 21] alld Pima lt-2 cotton
ld (~lIfll1til) 11111 dp-ignrltion lil11i1 s-t
II III 11 III JII
I II 11 lI1l
1 1110 1()~r
11 111- 111l
In) 1111)
I [Ii II II 711 11 i ~IJ 1- III
~ 1poundi -17 1-)17
1 1h--- J- ~)
111[1 11 1- I
I I (J ~ I)
)) 1 1lI
~ 17 (L~IK
bull IIJ III
2 ~ II~)
(Jllall ltIllag 1111)0 1- I
middotaltl ittP atfflgP oj BJnpltmiddot for puch 01 n~plimiddot
(I(lll~ TIll InclltPIIHIlIl( gtrIdtmiddot d(middotn~i( IIltlS intmiddot~timiddot Ulttd (It J~ 17 7~ ~2 Hilti 7 III ft
TIllt 11 digit III I hI hnl d-ignalitln nlllnlwr inditmiddot1I1o
1111 I1jtllll tIlntll1l 1(11 Ill d [Illt quantity 1(11
TABLE I-Physical properties used to desilfllate varieal differences of StOIl([iC 21] and Pima 8-2 cottons l
(nuslicnirp I-licronailCFibloglnph 811lnglh
Ilading Hali ~ )( Hpnn II niformil~ Is-inlh gagl ~IHtUImiddotill Fin(I1Pss
indlX () (ugin)dlsignat ion Ipngth lin) Iutin () (gllX) 8211 Pima
S211 PimaIinlll SHl PirnnS211 linHl 821 Pima S211
aH7 )(iO middotloa117 middot117 21() l2middot1() 7) 7~~7 middot170
11 lllHO L2il 1031~)7 -177 (n middotIGO
12 LOS7 12lj7 117 middotI 7 210l 1117 iHt l(n u 01
11 lOS l2(ll) middot111 middot131 21m 121 Idl 71)1 middot170
37middot1 Ilill middotIO1Li 2121 1210 Ir0 rO middotL7lOSl 121 IlliAlrIW
171 l(iO U17 21 l (I) 12Hll 1(10 ImiddotO 2111 12middot17 7x7 tH7 middotL70
7~)~7 middot1ri7 171 middot1flO 107 2 l 1III _ I 1middot171 - shy middot10 211 1200 71l
7H7 7HO middot171 177 IGO U)7 )1 1107 1H7 li7 middot1middot17 211 12211 _l
I ~)~() 1middot1 211II l~)~ 7KD 7t-iH middot170 371 middotIGO i)OO4 PI~ugt~ bullbullbull IIll7 L2HI
7~l7 middot1Cn 1(jJ I()() middot100If) 21nl U 710
7~1 7H7 middotlli1 177 lfi) 10011 1 121 1111 1ll7
12 1 1l 1111 Ili7 middot11l 2117 1211 middot170 177 middot1(iO 100211ilgt 0 iU7 7Hi 1120 1107 1711 Ia
11 J )( lI (Jl) 7~1l 7)1l li7 3 72 ~15S 400 (llage Ll loH middotlLH =~~ -==----=--~-
I 1jl 1GO 4001Uil 7~L7 7DI 157 LID
II 1110 111 0 171 17 2211
12 I 117 11211 middotIHII III 7 2IO ll1Il 7JO 711 middotun a77 1(jO U7 Ii1 middot100
171 middotfLU 2171 1LliO HOO is7middot1 1 1)7 LII7
middot03 170 middotIfj(] 01 Lalli 17 lIi1 11 1llS 7~LI 711 l~rngl 11lK
(hprnll 1middotHHh ~1r12H 12711gt i~L lH 7~IOn middotIlH1 172h middot1GOa middot102b
1112n 12l2h middotlIi1211H(IUgl
(indl indlx ( )Lint flllli11 Stnpll tngl h 11lUt lpl~ Contpnt Lpnf Composile( 1middot12middotjnl Clor
11
S211 llj Ina S2ll Pimn 821 Pima 8213 Pima S21 Pi 111lt1
120 Il 1middot11 III7 Hmiddot10 102H 940 1027 II 1 1 ~ J middotImiddotUI
12 112 1middot11) H~ 1 )middot10 102middot1 )Il 102li 940 1024
J10 1O7 940 1024177 lmiddotU) 1021I ) 1middot11 middotImiddotI ~77
lmiddotIO 107 940 1025 ~~ ) I~) 1middot10 102
tlrlg(l JmiddotI middotImiddotU
~p ~ 10O 91(i 102011 ImiddotO 1 IK ~~ ImiddotIO 1UJI
21 Illo nnH 1l0 1112ll Hl1 99S
271 21 120 lOO ~)2(i 1020 111 1111
l lll 111202 gt-12 I LII 271
)20 IllO l2il 1011 H~) 220 lItl 101
tYlmiddotra~(l 111 I LO ~--==-=--=
) SlP footntlts at lnd of tahll
0)
TABLE middotJ-Physica properies llsed to desigllate Iarieta difCCIlC(S of StollcIille 213 alld Pima S-2 coltollsl-Continucd
Lint for[ign Grnli( indtx ( IStapl IlngthBall (nut lPI~ tonU)l1t dpsignHtlon
(I l-inl r J Color Lpuf Compositl
S] Iimn Sll Pi 11111 S Ii I11n SIl Pi 11111 S211 PilllH 11 l
bull vlmiddotragl
1
11
l-IH
middotl~
1middot111
IU) middotILI
111l
amiddotIl aHJ
amiddotI1
Uil
poundl IH
middotIO
lii
111l
)I(J
)I()
l)
WII WIll)
]() 1middot1
j() 1middot1
HIlo
iiO lltii1l
1ltbullbull0
1U1l1
Ill lOO
lOO]
HHO I()l
IltKJ
HH1
101middot1 HH7 1003 --shy ---shy ~- shy]00]
11
I I
vPIUJ4P
1lCJ -11) )0
1-11
111l
middot1111
110
middotImiddotID
middot11]
IS()
)1lt
1011
~7()
lin ~l
) -)
1
II1l BIn )IO
)middotIO
llHl)
101middot]
lHlli
WObull
f)IlO
1iIO
l20
JOa
mI Iiibull
n7H
lBii
)oo In2 lO7 1H7 )11 H7(
--~ ------~--
UO() 085 Oqral
aVlmiddotagll lt a I Ii I Lob lllla 2()h 1)middotIlla lOUih lOlltn lOtJHiJ 915a 100Gb
lValtlll- an Ilragls of a slIllplls fl pnch of 1 r(plications nlll(S dlurmilwd hy (otton Division Agriculturul -lnrk(ting S(Imiddoticlt CI(mson SCbull with thl lxl(ption 01 valu(s 101 tupl Ilng-th and grnd(middot imiPx whkh (n dltlllllinpd h) tIll (olton Dimiddotision Agricultural -larklling Sprvict Orl(I1ood 1li8
TIll 1st numhr nI(middot tll (Ill l1loislllJ( (onllIH hl1 d to tIl( CJuantity I[p
(hrlt111 ltllragps nol follo-tmiddotd by till sanl Itllpr aI( signifkantlv difflrlnt at tIl( 1 1(lt101 (lroJnhilitgt liS d(IlIminpd by l--lpllL
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
their ultimah~ destination Handling damages frequently occur
Efforts are being made to improve the appearshyance and quality of the American cotton ball (6) Automatic sampling at the gin prior to ball packaging now being used on a limited scale (7) has the potential to greatly improve the exshyternal appearance o[ the bale The trend toward producing only three types of bales-the modishyfied flat the gin universal and the compress universal bale- will also help do away with many irregularities in American bales The modifiltd flat bale is intended for domestic lise whereas the last two types may be exported The gin unishyversal cltnsity bale is produced in a gin system capable of packaging a bale at a dlnsity of at least 2t pounds per cubic foot Tlw compress univlrsal density bale is producld by re-pressing a modified flat ball in a compress
Once pstablish((l the ntW packaging system will standardize sizes shapes and densities of bales and that in turn will permit standardizashytion of handling equipment and op(rations which will minimize handling damages Despit( tlwse ongoing improvements howletmiddot improving tlw Anllrican cotton bale llquires more technology in many anas OIl( such lWld is the lstablishshyment of a prediction equation for the forc( reshyquired to comprlss lint cotton Ill( prCdiction equation would provid( manufaeturlrs with basic criteria to be used to satisfaclorily d(sign COIllshy
prlssi ve systems Because sewral conflicts txist in publislwcl
information pNtaining to till fnrcl rlquirld to compress lint cotton ( middot1 ~ 1)) this imlstishygation was llndprtaken to dptlrminl tIlt forcl llmiddotquirecl to comprpss lint cotton and to resol( the conflicts in previously collletld data Sonw of tIlt mort ((tsily I((ogniztd ariabks of which this force is a function are (I) 1I1l lint llloislull content (21 tht d(nsity to which lIw lint cotton is cOlllprtssecl (11 1Ill quantil of cotton I)(ing co III Plcss(d (middot1) tIl( physical proplllits of t 11( lint cotton (i) tl( distribution of tlw lint within tl( pnss box (()) tIl( tinw ralt of (olllpnssion (71 llw siz( of tIll pnss box (Inc (11) til(gt friction of tlw cotton on thl Pl(ss box alls Thi study s((ks to e tablish tIl( significantl of Llw abot variahlls in tlH cornpnssion of lint coUon
EXPERIMENTAL PROCEDURE The initiul sUP in cleloping un (middotquation til
I(pl(spnt (middotompnmiddotssinmiddot forel is tIll (slnhlishnwnt
of the basic form of the relationship governing the force required to compress lint cotton Prelimishynary investigation with the variables mentioned in the introduction indicated that four of those variables could adequatelT describe much of the variation in the data for a press of a given size These variables were lint moisture content denshysity quantity of cotton and physical properties of the cotton
Physical properties of cotton vary between and within varieties depending on genetic makeup growing conditions and so forth There has been much speculation on the compressive charactershyistics of different varieties of cotton especially those of different staple length strength and micronaire If eVNY variety o[ cotton were conshysidered variation of each of til( many physical properties would require a test too larse to be manageable For this reason testing between two difflltnt varietils (Stoneville 213 and Pima S-2) with widlly differing physical proplltils was considlrecl as a Sllitahlt altlrnativ(
Rlsearch lvaluating tiw forcl rlqllind to comshypnss lint cotton us concluctld with four factors ariCty moistul( cont(nt d(nsity ancl quantity Using2 arietiesmiddotl moistults (j d(nsities a qUell1shytitits of cotton and ~ rlplieations wouid l(quin middot132 t(st lots 110 (Vll (i cllmiddotnsit 1((ls c(ln 1)( obtain(cI from 1 t(st lot of (otton by conlinuously monitoring the changl in cltnsity thenby rldllCshying tIll rlquirld nUllll)(r of tpst lots to 72 Each llst lot in a full-size systcm l(quins an ltItragt of i()O pounds of lint cotton Using 72 of thesp )OO-pound lots to conduct an lqwrinwnl of this natul( would not 1)( physically or t(ol1omically fl(1sihl(middot
It was fllt that tilt mod1 baitmiddot pnss at tIH lS Cotton Ginning Hes(arch Laboratory StOll(shymiddotill ~Iiss could bl us(d to dlllop detailpd Cjualitati( information rllative to tIl( foret 1(shy
qllirtd to Comprcss lint cotton Ind nndd llCJuin substantially llsS (otton tllllll a full-sitlmiddot Pl(ss Ill( ll1ocl1 pr(ss box hus n llOSS-Sctionnl HrlU of 111 sqllHngt inclws as lO11ptll(c1 to n full-sizl p1lS box which InnglS from 1()~i to 1lii sqUl1r( inciws and is iO incllls dlgt(p or lpproxil11nllly
tlw sanw clpth as a rull-sizt pr(ss hox Tlst lots of approximatply li pounds nn l(quind for tilt mo(kl bal( pnss which nHanS lhat tIl( nlOdt1 bah pnss nmiddotquinmiddots onl) 1 P(gtl(Pllt us Illuch CottOll as in tilt fllll-siZ(gt systlll1 -li-gallon-ppr-minshyutp hydraulic pllmp clrinll by a i()middothorSlI)()Wcmiddotr (Ipetric Illotm d(V(lops lompngtssi( fOl(P in llll
1 ~I 1 -
Ft([ W I lplltlekin mo(h-I hall pn~ h() n wil1l pnmiddot box duol Uptn
modtl prpss systtm The hydraulic systlm lPshyvplops prlSSllrl on an K middot-inch-dianwttr upshypacking ram Tlw model ball PISS is shown in figurp I Tlw hydraulic systpm is locattd outshyskll tlw building
Similitude analysis indicattd that only tlw form of thl rllationship (iintar Cxpotwntial quadratic logarithmic etc) and thl rllnti( importanc of each ariable could w casily dpt(rminecl from a modd hailgt press sinc( quantitativp I(sults would llquirl thl (alualion of slvtral distortion factors
Furthermot( the accuracy of tlw (xpprinwnt would )( incrpaspd substantially by using tlw mocipl systtm (2) First sincc less cotton w(Hdel 1)( lquiled to conduct an lxpcrimcnt with the mOcl1 systtm the homogtnpity of thtmiddot samplp lots could Iw grtatly incrpaslc hlcaust uniform physical proptrtils arp mOrt tasily ohtaimmiddotd with smalllr quantitits of colton Stc()Jld bpC(lus( tlw model hale PllSS is located in a c1imaticnlly conshytroll((1 building moisture distribution could Ilt kept uniform in tht (xplrinwnlal lots hy condishy
tioning at constant temp(rature and relativ( humidity Third the instrumentation used to monitor the compressive force in the model bale press is more accurate than the instrumentation in a full-size bale prpss
A randomizp( completl-block split-plot experishymental dlsign was used to lall1ltlte the force reshyquired to compress lint cotton 10 arietils of cotton Stol1Eille 213 and Pima S-2middot four le(ls of moisture content six densities three quanti shyties of cotton and three replications wert used
The sepd cotton used in the exppriment was mechanically harvestlC1 and hlld in storage apshyproximately () months Iwfore Iwing proclssld through thrpe stages of sped-cotton-cleaning machinlry in a full-size ginning systll11 The seed cotton was thln conditiontd and gil1lwd at the rang(s of tempprature and rllativC humidity shown in tahle 1 1lw slpd cotton was diviltiPd into lots of approximntlly 30fi and ()) pounds and placpd on middoti-foot-wid( by ~-f()()t-Iong storagt trays TIl( storagp trays (Il spactd 12 inclws apart wrtically to allo tht conditioning air to circulatp fr(ely through till stpel cotton Afltr the lint portion of tlw slpd cotton Jtuclwd lltIuishylibrium with thl conditioning nil tpst lots pl( procpsstd through tIll l11odt1 gin stand and (Jill
lint cllaner lXllpt for lIw lots at till low llloisshytUJlCOl1tlnt 1((1 (1((1 1J For til( lots at tilt
I() l11oistur( 1ll1 two l11ultipath tOWPI dliPrs o[wrntpd at 2i()J F (121P C) (Il also llstd in thl ginning slqupnC( imnlldiatliy l)(f()Il lh( gin stand On(( through thl gin stand till lint as fpel into till modtl balC pnss ia a colltiPns1 and a lint slidp and tlw COlton tramrlld lJy hnnd into tilt PL(SS hox
Tlw compnssiv( for(( wus nWltlsllrpd by l1~ing
TMlLE l-falges III ll1Il1(raluI( (lwl Ielcttil(
hUlIidily llsec II) ((wliti(11 owl gill Ih wert
C()Oll
(middotor(hll nln~[111 t (jtnlllf1~ ran
1lnt rangnlj)i~lunmiddot11101il urp Itlilt i Tl1lp ItIII TIlIlIl
nltnl11(1 ( I
humidit Il UI hIlIlWhl ~lll1n
I 1 I Fl ( 11
- 1 -1middot) qO fI_~ ~ ~ III~q 1 I ~h 11- i 7-711 a ~ - l 7-
1-[ J 1~ -1 --J~ If ~ ~ ~~l-~L~
- - ~HJ-~L-)1- -III 71~-1
IIltmiddots m till ltI(rl~( a wit 1(1 tor h th illIPtils
of (otton
( tlon il nndil iflllld fur a IlIlillcl I It hmiddot 1 hOlils
Sttc1 t~(tton dlp Pl1 u p(1 tel ItWIl tht tllllttlln
nlIl
a force transducer in conjunction with an eightshychannel direct-writing strip chart recorder Thl lOOOOO-pouncl-capaciLy transducer was placed on the fixed platen at the top of the press to monitor the force rlquirecl to compress the test lots The millivolt output of the tranducer was recorded O1 six channels with successively overlapping ranges
As the ram was forced up by hydraulic fluid the change in press )0( volume was monitored continuously by measuring the ram tranl Two microswitclws broke an eiPctrical circuit and nctuated l-ent markprs on the recordti for epry inch and twry olw-tighth inch of ram mO-emlnt The duplicate systt111 of monitoring tht changt in prtss-box -olume was necessary because of the exponential dflct of tlw change in volunw on dpnsity Since the quantity of cotton was conshystant for each test lot thp density of thp cotton could be (ktermintd in small incrpments by utishylizing thp change in platen separation as indicatpe by tlw microswitches Densities were computed by ehiding tlw quantity (weight) of cotton by the olull1e that tlw cotton coule occupy as dt-
TABLE J-LeLes 0 moisturC cOltcll1 used ill ([(llllalillg lhe c()l7lpressite characlerislics ()j Sloletil( nr ((Ile Pima S-2 (ottOII
Ball Iistllrt (ont(nt [
dpoi~nltt ion Pima S-
2 III
17 2~)
~-JO ~ ~)
I
11
I -
lid
I))J
1 -- li71
11 I
I ~
lrig(1 )il
fllIS aI- ltIVlrHgr- I J ~i1lllpl(s ]t ([(h Ilf 1 f1middotplil[middot I lOllS TIl( IndlIWndlnt vIIIdI( dpnsitv as Invlitigatld
iH l~ 17 17 ~~ untl r lhft Illlt hI digit fir hillmiddot dloignalioll I1l1mb t indi(Il~ till
mlliitllll (IlJlIln( 11([ tilt d tillt qlliln(i( 1(11
I
termintc1 by the location of the bottom platen reiati( to the top platen
RESULTS Independent Variables
The various moisture contents and quantities of cotton used in this study arc shown in tables 2 and 3 respectiv(y The levels arc indicattd for lHch varilty of cotton A vlIage moisture conshytents of 237 47G (Un and Hiiii percent were used The aCrage quantities of lint cotton used were lOGmiddot lii~)() and 21iiG pounds Dlnsities of 12 17 22 27 32 and 37 pounds per cubic foot (r( imtstigated
The two arieties of cotton used hav( different genetic characteristics and w(r( produc(d in difshyfll(nt growth ll1ironmlnts As a rlsult their lint physical propertits wert different The StOI1lshyvilll llr was grown at Stonlville ~[iss undtr high-humidity nonirrigattC1 conditions and the Pima S-Jmiddot was grown at Las CruclS ~ ~Iex
uncleI low-hull1idity irrigatlcl conditions Vith tlw exclplion of maturity indlx tl1( two aritties of cotton had sign i ficant ly eli ff(rent (l-rwrclnt
(Conlillled UI page
TABU 3 ~ Quantily 1(Iels uscd ill (lcdllatillg the COI1l[UCSSil( clw(clerislics ojSlo(ille 21] alld Pima lt-2 cotton
ld (~lIfll1til) 11111 dp-ignrltion lil11i1 s-t
II III 11 III JII
I II 11 lI1l
1 1110 1()~r
11 111- 111l
In) 1111)
I [Ii II II 711 11 i ~IJ 1- III
~ 1poundi -17 1-)17
1 1h--- J- ~)
111[1 11 1- I
I I (J ~ I)
)) 1 1lI
~ 17 (L~IK
bull IIJ III
2 ~ II~)
(Jllall ltIllag 1111)0 1- I
middotaltl ittP atfflgP oj BJnpltmiddot for puch 01 n~plimiddot
(I(lll~ TIll InclltPIIHIlIl( gtrIdtmiddot d(middotn~i( IIltlS intmiddot~timiddot Ulttd (It J~ 17 7~ ~2 Hilti 7 III ft
TIllt 11 digit III I hI hnl d-ignalitln nlllnlwr inditmiddot1I1o
1111 I1jtllll tIlntll1l 1(11 Ill d [Illt quantity 1(11
TABLE I-Physical properties used to desilfllate varieal differences of StOIl([iC 21] and Pima 8-2 cottons l
(nuslicnirp I-licronailCFibloglnph 811lnglh
Ilading Hali ~ )( Hpnn II niformil~ Is-inlh gagl ~IHtUImiddotill Fin(I1Pss
indlX () (ugin)dlsignat ion Ipngth lin) Iutin () (gllX) 8211 Pima
S211 PimaIinlll SHl PirnnS211 linHl 821 Pima S211
aH7 )(iO middotloa117 middot117 21() l2middot1() 7) 7~~7 middot170
11 lllHO L2il 1031~)7 -177 (n middotIGO
12 LOS7 12lj7 117 middotI 7 210l 1117 iHt l(n u 01
11 lOS l2(ll) middot111 middot131 21m 121 Idl 71)1 middot170
37middot1 Ilill middotIO1Li 2121 1210 Ir0 rO middotL7lOSl 121 IlliAlrIW
171 l(iO U17 21 l (I) 12Hll 1(10 ImiddotO 2111 12middot17 7x7 tH7 middotL70
7~)~7 middot1ri7 171 middot1flO 107 2 l 1III _ I 1middot171 - shy middot10 211 1200 71l
7H7 7HO middot171 177 IGO U)7 )1 1107 1H7 li7 middot1middot17 211 12211 _l
I ~)~() 1middot1 211II l~)~ 7KD 7t-iH middot170 371 middotIGO i)OO4 PI~ugt~ bullbullbull IIll7 L2HI
7~l7 middot1Cn 1(jJ I()() middot100If) 21nl U 710
7~1 7H7 middotlli1 177 lfi) 10011 1 121 1111 1ll7
12 1 1l 1111 Ili7 middot11l 2117 1211 middot170 177 middot1(iO 100211ilgt 0 iU7 7Hi 1120 1107 1711 Ia
11 J )( lI (Jl) 7~1l 7)1l li7 3 72 ~15S 400 (llage Ll loH middotlLH =~~ -==----=--~-
I 1jl 1GO 4001Uil 7~L7 7DI 157 LID
II 1110 111 0 171 17 2211
12 I 117 11211 middotIHII III 7 2IO ll1Il 7JO 711 middotun a77 1(jO U7 Ii1 middot100
171 middotfLU 2171 1LliO HOO is7middot1 1 1)7 LII7
middot03 170 middotIfj(] 01 Lalli 17 lIi1 11 1llS 7~LI 711 l~rngl 11lK
(hprnll 1middotHHh ~1r12H 12711gt i~L lH 7~IOn middotIlH1 172h middot1GOa middot102b
1112n 12l2h middotlIi1211H(IUgl
(indl indlx ( )Lint flllli11 Stnpll tngl h 11lUt lpl~ Contpnt Lpnf Composile( 1middot12middotjnl Clor
11
S211 llj Ina S2ll Pimn 821 Pima 8213 Pima S21 Pi 111lt1
120 Il 1middot11 III7 Hmiddot10 102H 940 1027 II 1 1 ~ J middotImiddotUI
12 112 1middot11) H~ 1 )middot10 102middot1 )Il 102li 940 1024
J10 1O7 940 1024177 lmiddotU) 1021I ) 1middot11 middotImiddotI ~77
lmiddotIO 107 940 1025 ~~ ) I~) 1middot10 102
tlrlg(l JmiddotI middotImiddotU
~p ~ 10O 91(i 102011 ImiddotO 1 IK ~~ ImiddotIO 1UJI
21 Illo nnH 1l0 1112ll Hl1 99S
271 21 120 lOO ~)2(i 1020 111 1111
l lll 111202 gt-12 I LII 271
)20 IllO l2il 1011 H~) 220 lItl 101
tYlmiddotra~(l 111 I LO ~--==-=--=
) SlP footntlts at lnd of tahll
0)
TABLE middotJ-Physica properies llsed to desigllate Iarieta difCCIlC(S of StollcIille 213 alld Pima S-2 coltollsl-Continucd
Lint for[ign Grnli( indtx ( IStapl IlngthBall (nut lPI~ tonU)l1t dpsignHtlon
(I l-inl r J Color Lpuf Compositl
S] Iimn Sll Pi 11111 S Ii I11n SIl Pi 11111 S211 PilllH 11 l
bull vlmiddotragl
1
11
l-IH
middotl~
1middot111
IU) middotILI
111l
amiddotIl aHJ
amiddotI1
Uil
poundl IH
middotIO
lii
111l
)I(J
)I()
l)
WII WIll)
]() 1middot1
j() 1middot1
HIlo
iiO lltii1l
1ltbullbull0
1U1l1
Ill lOO
lOO]
HHO I()l
IltKJ
HH1
101middot1 HH7 1003 --shy ---shy ~- shy]00]
11
I I
vPIUJ4P
1lCJ -11) )0
1-11
111l
middot1111
110
middotImiddotID
middot11]
IS()
)1lt
1011
~7()
lin ~l
) -)
1
II1l BIn )IO
)middotIO
llHl)
101middot]
lHlli
WObull
f)IlO
1iIO
l20
JOa
mI Iiibull
n7H
lBii
)oo In2 lO7 1H7 )11 H7(
--~ ------~--
UO() 085 Oqral
aVlmiddotagll lt a I Ii I Lob lllla 2()h 1)middotIlla lOUih lOlltn lOtJHiJ 915a 100Gb
lValtlll- an Ilragls of a slIllplls fl pnch of 1 r(plications nlll(S dlurmilwd hy (otton Division Agriculturul -lnrk(ting S(Imiddoticlt CI(mson SCbull with thl lxl(ption 01 valu(s 101 tupl Ilng-th and grnd(middot imiPx whkh (n dltlllllinpd h) tIll (olton Dimiddotision Agricultural -larklling Sprvict Orl(I1ood 1li8
TIll 1st numhr nI(middot tll (Ill l1loislllJ( (onllIH hl1 d to tIl( CJuantity I[p
(hrlt111 ltllragps nol follo-tmiddotd by till sanl Itllpr aI( signifkantlv difflrlnt at tIl( 1 1(lt101 (lroJnhilitgt liS d(IlIminpd by l--lpllL
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
1 ~I 1 -
Ft([ W I lplltlekin mo(h-I hall pn~ h() n wil1l pnmiddot box duol Uptn
modtl prpss systtm The hydraulic systlm lPshyvplops prlSSllrl on an K middot-inch-dianwttr upshypacking ram Tlw model ball PISS is shown in figurp I Tlw hydraulic systpm is locattd outshyskll tlw building
Similitude analysis indicattd that only tlw form of thl rllationship (iintar Cxpotwntial quadratic logarithmic etc) and thl rllnti( importanc of each ariable could w casily dpt(rminecl from a modd hailgt press sinc( quantitativp I(sults would llquirl thl (alualion of slvtral distortion factors
Furthermot( the accuracy of tlw (xpprinwnt would )( incrpaspd substantially by using tlw mocipl systtm (2) First sincc less cotton w(Hdel 1)( lquiled to conduct an lxpcrimcnt with the mOcl1 systtm the homogtnpity of thtmiddot samplp lots could Iw grtatly incrpaslc hlcaust uniform physical proptrtils arp mOrt tasily ohtaimmiddotd with smalllr quantitits of colton Stc()Jld bpC(lus( tlw model hale PllSS is located in a c1imaticnlly conshytroll((1 building moisture distribution could Ilt kept uniform in tht (xplrinwnlal lots hy condishy
tioning at constant temp(rature and relativ( humidity Third the instrumentation used to monitor the compressive force in the model bale press is more accurate than the instrumentation in a full-size bale prpss
A randomizp( completl-block split-plot experishymental dlsign was used to lall1ltlte the force reshyquired to compress lint cotton 10 arietils of cotton Stol1Eille 213 and Pima S-2middot four le(ls of moisture content six densities three quanti shyties of cotton and three replications wert used
The sepd cotton used in the exppriment was mechanically harvestlC1 and hlld in storage apshyproximately () months Iwfore Iwing proclssld through thrpe stages of sped-cotton-cleaning machinlry in a full-size ginning systll11 The seed cotton was thln conditiontd and gil1lwd at the rang(s of tempprature and rllativC humidity shown in tahle 1 1lw slpd cotton was diviltiPd into lots of approximntlly 30fi and ()) pounds and placpd on middoti-foot-wid( by ~-f()()t-Iong storagt trays TIl( storagp trays (Il spactd 12 inclws apart wrtically to allo tht conditioning air to circulatp fr(ely through till stpel cotton Afltr the lint portion of tlw slpd cotton Jtuclwd lltIuishylibrium with thl conditioning nil tpst lots pl( procpsstd through tIll l11odt1 gin stand and (Jill
lint cllaner lXllpt for lIw lots at till low llloisshytUJlCOl1tlnt 1((1 (1((1 1J For til( lots at tilt
I() l11oistur( 1ll1 two l11ultipath tOWPI dliPrs o[wrntpd at 2i()J F (121P C) (Il also llstd in thl ginning slqupnC( imnlldiatliy l)(f()Il lh( gin stand On(( through thl gin stand till lint as fpel into till modtl balC pnss ia a colltiPns1 and a lint slidp and tlw COlton tramrlld lJy hnnd into tilt PL(SS hox
Tlw compnssiv( for(( wus nWltlsllrpd by l1~ing
TMlLE l-falges III ll1Il1(raluI( (lwl Ielcttil(
hUlIidily llsec II) ((wliti(11 owl gill Ih wert
C()Oll
(middotor(hll nln~[111 t (jtnlllf1~ ran
1lnt rangnlj)i~lunmiddot11101il urp Itlilt i Tl1lp ItIII TIlIlIl
nltnl11(1 ( I
humidit Il UI hIlIlWhl ~lll1n
I 1 I Fl ( 11
- 1 -1middot) qO fI_~ ~ ~ III~q 1 I ~h 11- i 7-711 a ~ - l 7-
1-[ J 1~ -1 --J~ If ~ ~ ~~l-~L~
- - ~HJ-~L-)1- -III 71~-1
IIltmiddots m till ltI(rl~( a wit 1(1 tor h th illIPtils
of (otton
( tlon il nndil iflllld fur a IlIlillcl I It hmiddot 1 hOlils
Sttc1 t~(tton dlp Pl1 u p(1 tel ItWIl tht tllllttlln
nlIl
a force transducer in conjunction with an eightshychannel direct-writing strip chart recorder Thl lOOOOO-pouncl-capaciLy transducer was placed on the fixed platen at the top of the press to monitor the force rlquirecl to compress the test lots The millivolt output of the tranducer was recorded O1 six channels with successively overlapping ranges
As the ram was forced up by hydraulic fluid the change in press )0( volume was monitored continuously by measuring the ram tranl Two microswitclws broke an eiPctrical circuit and nctuated l-ent markprs on the recordti for epry inch and twry olw-tighth inch of ram mO-emlnt The duplicate systt111 of monitoring tht changt in prtss-box -olume was necessary because of the exponential dflct of tlw change in volunw on dpnsity Since the quantity of cotton was conshystant for each test lot thp density of thp cotton could be (ktermintd in small incrpments by utishylizing thp change in platen separation as indicatpe by tlw microswitches Densities were computed by ehiding tlw quantity (weight) of cotton by the olull1e that tlw cotton coule occupy as dt-
TABLE J-LeLes 0 moisturC cOltcll1 used ill ([(llllalillg lhe c()l7lpressite characlerislics ()j Sloletil( nr ((Ile Pima S-2 (ottOII
Ball Iistllrt (ont(nt [
dpoi~nltt ion Pima S-
2 III
17 2~)
~-JO ~ ~)
I
11
I -
lid
I))J
1 -- li71
11 I
I ~
lrig(1 )il
fllIS aI- ltIVlrHgr- I J ~i1lllpl(s ]t ([(h Ilf 1 f1middotplil[middot I lOllS TIl( IndlIWndlnt vIIIdI( dpnsitv as Invlitigatld
iH l~ 17 17 ~~ untl r lhft Illlt hI digit fir hillmiddot dloignalioll I1l1mb t indi(Il~ till
mlliitllll (IlJlIln( 11([ tilt d tillt qlliln(i( 1(11
I
termintc1 by the location of the bottom platen reiati( to the top platen
RESULTS Independent Variables
The various moisture contents and quantities of cotton used in this study arc shown in tables 2 and 3 respectiv(y The levels arc indicattd for lHch varilty of cotton A vlIage moisture conshytents of 237 47G (Un and Hiiii percent were used The aCrage quantities of lint cotton used were lOGmiddot lii~)() and 21iiG pounds Dlnsities of 12 17 22 27 32 and 37 pounds per cubic foot (r( imtstigated
The two arieties of cotton used hav( different genetic characteristics and w(r( produc(d in difshyfll(nt growth ll1ironmlnts As a rlsult their lint physical propertits wert different The StOI1lshyvilll llr was grown at Stonlville ~[iss undtr high-humidity nonirrigattC1 conditions and the Pima S-Jmiddot was grown at Las CruclS ~ ~Iex
uncleI low-hull1idity irrigatlcl conditions Vith tlw exclplion of maturity indlx tl1( two aritties of cotton had sign i ficant ly eli ff(rent (l-rwrclnt
(Conlillled UI page
TABU 3 ~ Quantily 1(Iels uscd ill (lcdllatillg the COI1l[UCSSil( clw(clerislics ojSlo(ille 21] alld Pima lt-2 cotton
ld (~lIfll1til) 11111 dp-ignrltion lil11i1 s-t
II III 11 III JII
I II 11 lI1l
1 1110 1()~r
11 111- 111l
In) 1111)
I [Ii II II 711 11 i ~IJ 1- III
~ 1poundi -17 1-)17
1 1h--- J- ~)
111[1 11 1- I
I I (J ~ I)
)) 1 1lI
~ 17 (L~IK
bull IIJ III
2 ~ II~)
(Jllall ltIllag 1111)0 1- I
middotaltl ittP atfflgP oj BJnpltmiddot for puch 01 n~plimiddot
(I(lll~ TIll InclltPIIHIlIl( gtrIdtmiddot d(middotn~i( IIltlS intmiddot~timiddot Ulttd (It J~ 17 7~ ~2 Hilti 7 III ft
TIllt 11 digit III I hI hnl d-ignalitln nlllnlwr inditmiddot1I1o
1111 I1jtllll tIlntll1l 1(11 Ill d [Illt quantity 1(11
TABLE I-Physical properties used to desilfllate varieal differences of StOIl([iC 21] and Pima 8-2 cottons l
(nuslicnirp I-licronailCFibloglnph 811lnglh
Ilading Hali ~ )( Hpnn II niformil~ Is-inlh gagl ~IHtUImiddotill Fin(I1Pss
indlX () (ugin)dlsignat ion Ipngth lin) Iutin () (gllX) 8211 Pima
S211 PimaIinlll SHl PirnnS211 linHl 821 Pima S211
aH7 )(iO middotloa117 middot117 21() l2middot1() 7) 7~~7 middot170
11 lllHO L2il 1031~)7 -177 (n middotIGO
12 LOS7 12lj7 117 middotI 7 210l 1117 iHt l(n u 01
11 lOS l2(ll) middot111 middot131 21m 121 Idl 71)1 middot170
37middot1 Ilill middotIO1Li 2121 1210 Ir0 rO middotL7lOSl 121 IlliAlrIW
171 l(iO U17 21 l (I) 12Hll 1(10 ImiddotO 2111 12middot17 7x7 tH7 middotL70
7~)~7 middot1ri7 171 middot1flO 107 2 l 1III _ I 1middot171 - shy middot10 211 1200 71l
7H7 7HO middot171 177 IGO U)7 )1 1107 1H7 li7 middot1middot17 211 12211 _l
I ~)~() 1middot1 211II l~)~ 7KD 7t-iH middot170 371 middotIGO i)OO4 PI~ugt~ bullbullbull IIll7 L2HI
7~l7 middot1Cn 1(jJ I()() middot100If) 21nl U 710
7~1 7H7 middotlli1 177 lfi) 10011 1 121 1111 1ll7
12 1 1l 1111 Ili7 middot11l 2117 1211 middot170 177 middot1(iO 100211ilgt 0 iU7 7Hi 1120 1107 1711 Ia
11 J )( lI (Jl) 7~1l 7)1l li7 3 72 ~15S 400 (llage Ll loH middotlLH =~~ -==----=--~-
I 1jl 1GO 4001Uil 7~L7 7DI 157 LID
II 1110 111 0 171 17 2211
12 I 117 11211 middotIHII III 7 2IO ll1Il 7JO 711 middotun a77 1(jO U7 Ii1 middot100
171 middotfLU 2171 1LliO HOO is7middot1 1 1)7 LII7
middot03 170 middotIfj(] 01 Lalli 17 lIi1 11 1llS 7~LI 711 l~rngl 11lK
(hprnll 1middotHHh ~1r12H 12711gt i~L lH 7~IOn middotIlH1 172h middot1GOa middot102b
1112n 12l2h middotlIi1211H(IUgl
(indl indlx ( )Lint flllli11 Stnpll tngl h 11lUt lpl~ Contpnt Lpnf Composile( 1middot12middotjnl Clor
11
S211 llj Ina S2ll Pimn 821 Pima 8213 Pima S21 Pi 111lt1
120 Il 1middot11 III7 Hmiddot10 102H 940 1027 II 1 1 ~ J middotImiddotUI
12 112 1middot11) H~ 1 )middot10 102middot1 )Il 102li 940 1024
J10 1O7 940 1024177 lmiddotU) 1021I ) 1middot11 middotImiddotI ~77
lmiddotIO 107 940 1025 ~~ ) I~) 1middot10 102
tlrlg(l JmiddotI middotImiddotU
~p ~ 10O 91(i 102011 ImiddotO 1 IK ~~ ImiddotIO 1UJI
21 Illo nnH 1l0 1112ll Hl1 99S
271 21 120 lOO ~)2(i 1020 111 1111
l lll 111202 gt-12 I LII 271
)20 IllO l2il 1011 H~) 220 lItl 101
tYlmiddotra~(l 111 I LO ~--==-=--=
) SlP footntlts at lnd of tahll
0)
TABLE middotJ-Physica properies llsed to desigllate Iarieta difCCIlC(S of StollcIille 213 alld Pima S-2 coltollsl-Continucd
Lint for[ign Grnli( indtx ( IStapl IlngthBall (nut lPI~ tonU)l1t dpsignHtlon
(I l-inl r J Color Lpuf Compositl
S] Iimn Sll Pi 11111 S Ii I11n SIl Pi 11111 S211 PilllH 11 l
bull vlmiddotragl
1
11
l-IH
middotl~
1middot111
IU) middotILI
111l
amiddotIl aHJ
amiddotI1
Uil
poundl IH
middotIO
lii
111l
)I(J
)I()
l)
WII WIll)
]() 1middot1
j() 1middot1
HIlo
iiO lltii1l
1ltbullbull0
1U1l1
Ill lOO
lOO]
HHO I()l
IltKJ
HH1
101middot1 HH7 1003 --shy ---shy ~- shy]00]
11
I I
vPIUJ4P
1lCJ -11) )0
1-11
111l
middot1111
110
middotImiddotID
middot11]
IS()
)1lt
1011
~7()
lin ~l
) -)
1
II1l BIn )IO
)middotIO
llHl)
101middot]
lHlli
WObull
f)IlO
1iIO
l20
JOa
mI Iiibull
n7H
lBii
)oo In2 lO7 1H7 )11 H7(
--~ ------~--
UO() 085 Oqral
aVlmiddotagll lt a I Ii I Lob lllla 2()h 1)middotIlla lOUih lOlltn lOtJHiJ 915a 100Gb
lValtlll- an Ilragls of a slIllplls fl pnch of 1 r(plications nlll(S dlurmilwd hy (otton Division Agriculturul -lnrk(ting S(Imiddoticlt CI(mson SCbull with thl lxl(ption 01 valu(s 101 tupl Ilng-th and grnd(middot imiPx whkh (n dltlllllinpd h) tIll (olton Dimiddotision Agricultural -larklling Sprvict Orl(I1ood 1li8
TIll 1st numhr nI(middot tll (Ill l1loislllJ( (onllIH hl1 d to tIl( CJuantity I[p
(hrlt111 ltllragps nol follo-tmiddotd by till sanl Itllpr aI( signifkantlv difflrlnt at tIl( 1 1(lt101 (lroJnhilitgt liS d(IlIminpd by l--lpllL
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
a force transducer in conjunction with an eightshychannel direct-writing strip chart recorder Thl lOOOOO-pouncl-capaciLy transducer was placed on the fixed platen at the top of the press to monitor the force rlquirecl to compress the test lots The millivolt output of the tranducer was recorded O1 six channels with successively overlapping ranges
As the ram was forced up by hydraulic fluid the change in press )0( volume was monitored continuously by measuring the ram tranl Two microswitclws broke an eiPctrical circuit and nctuated l-ent markprs on the recordti for epry inch and twry olw-tighth inch of ram mO-emlnt The duplicate systt111 of monitoring tht changt in prtss-box -olume was necessary because of the exponential dflct of tlw change in volunw on dpnsity Since the quantity of cotton was conshystant for each test lot thp density of thp cotton could be (ktermintd in small incrpments by utishylizing thp change in platen separation as indicatpe by tlw microswitches Densities were computed by ehiding tlw quantity (weight) of cotton by the olull1e that tlw cotton coule occupy as dt-
TABLE J-LeLes 0 moisturC cOltcll1 used ill ([(llllalillg lhe c()l7lpressite characlerislics ()j Sloletil( nr ((Ile Pima S-2 (ottOII
Ball Iistllrt (ont(nt [
dpoi~nltt ion Pima S-
2 III
17 2~)
~-JO ~ ~)
I
11
I -
lid
I))J
1 -- li71
11 I
I ~
lrig(1 )il
fllIS aI- ltIVlrHgr- I J ~i1lllpl(s ]t ([(h Ilf 1 f1middotplil[middot I lOllS TIl( IndlIWndlnt vIIIdI( dpnsitv as Invlitigatld
iH l~ 17 17 ~~ untl r lhft Illlt hI digit fir hillmiddot dloignalioll I1l1mb t indi(Il~ till
mlliitllll (IlJlIln( 11([ tilt d tillt qlliln(i( 1(11
I
termintc1 by the location of the bottom platen reiati( to the top platen
RESULTS Independent Variables
The various moisture contents and quantities of cotton used in this study arc shown in tables 2 and 3 respectiv(y The levels arc indicattd for lHch varilty of cotton A vlIage moisture conshytents of 237 47G (Un and Hiiii percent were used The aCrage quantities of lint cotton used were lOGmiddot lii~)() and 21iiG pounds Dlnsities of 12 17 22 27 32 and 37 pounds per cubic foot (r( imtstigated
The two arieties of cotton used hav( different genetic characteristics and w(r( produc(d in difshyfll(nt growth ll1ironmlnts As a rlsult their lint physical propertits wert different The StOI1lshyvilll llr was grown at Stonlville ~[iss undtr high-humidity nonirrigattC1 conditions and the Pima S-Jmiddot was grown at Las CruclS ~ ~Iex
uncleI low-hull1idity irrigatlcl conditions Vith tlw exclplion of maturity indlx tl1( two aritties of cotton had sign i ficant ly eli ff(rent (l-rwrclnt
(Conlillled UI page
TABU 3 ~ Quantily 1(Iels uscd ill (lcdllatillg the COI1l[UCSSil( clw(clerislics ojSlo(ille 21] alld Pima lt-2 cotton
ld (~lIfll1til) 11111 dp-ignrltion lil11i1 s-t
II III 11 III JII
I II 11 lI1l
1 1110 1()~r
11 111- 111l
In) 1111)
I [Ii II II 711 11 i ~IJ 1- III
~ 1poundi -17 1-)17
1 1h--- J- ~)
111[1 11 1- I
I I (J ~ I)
)) 1 1lI
~ 17 (L~IK
bull IIJ III
2 ~ II~)
(Jllall ltIllag 1111)0 1- I
middotaltl ittP atfflgP oj BJnpltmiddot for puch 01 n~plimiddot
(I(lll~ TIll InclltPIIHIlIl( gtrIdtmiddot d(middotn~i( IIltlS intmiddot~timiddot Ulttd (It J~ 17 7~ ~2 Hilti 7 III ft
TIllt 11 digit III I hI hnl d-ignalitln nlllnlwr inditmiddot1I1o
1111 I1jtllll tIlntll1l 1(11 Ill d [Illt quantity 1(11
TABLE I-Physical properties used to desilfllate varieal differences of StOIl([iC 21] and Pima 8-2 cottons l
(nuslicnirp I-licronailCFibloglnph 811lnglh
Ilading Hali ~ )( Hpnn II niformil~ Is-inlh gagl ~IHtUImiddotill Fin(I1Pss
indlX () (ugin)dlsignat ion Ipngth lin) Iutin () (gllX) 8211 Pima
S211 PimaIinlll SHl PirnnS211 linHl 821 Pima S211
aH7 )(iO middotloa117 middot117 21() l2middot1() 7) 7~~7 middot170
11 lllHO L2il 1031~)7 -177 (n middotIGO
12 LOS7 12lj7 117 middotI 7 210l 1117 iHt l(n u 01
11 lOS l2(ll) middot111 middot131 21m 121 Idl 71)1 middot170
37middot1 Ilill middotIO1Li 2121 1210 Ir0 rO middotL7lOSl 121 IlliAlrIW
171 l(iO U17 21 l (I) 12Hll 1(10 ImiddotO 2111 12middot17 7x7 tH7 middotL70
7~)~7 middot1ri7 171 middot1flO 107 2 l 1III _ I 1middot171 - shy middot10 211 1200 71l
7H7 7HO middot171 177 IGO U)7 )1 1107 1H7 li7 middot1middot17 211 12211 _l
I ~)~() 1middot1 211II l~)~ 7KD 7t-iH middot170 371 middotIGO i)OO4 PI~ugt~ bullbullbull IIll7 L2HI
7~l7 middot1Cn 1(jJ I()() middot100If) 21nl U 710
7~1 7H7 middotlli1 177 lfi) 10011 1 121 1111 1ll7
12 1 1l 1111 Ili7 middot11l 2117 1211 middot170 177 middot1(iO 100211ilgt 0 iU7 7Hi 1120 1107 1711 Ia
11 J )( lI (Jl) 7~1l 7)1l li7 3 72 ~15S 400 (llage Ll loH middotlLH =~~ -==----=--~-
I 1jl 1GO 4001Uil 7~L7 7DI 157 LID
II 1110 111 0 171 17 2211
12 I 117 11211 middotIHII III 7 2IO ll1Il 7JO 711 middotun a77 1(jO U7 Ii1 middot100
171 middotfLU 2171 1LliO HOO is7middot1 1 1)7 LII7
middot03 170 middotIfj(] 01 Lalli 17 lIi1 11 1llS 7~LI 711 l~rngl 11lK
(hprnll 1middotHHh ~1r12H 12711gt i~L lH 7~IOn middotIlH1 172h middot1GOa middot102b
1112n 12l2h middotlIi1211H(IUgl
(indl indlx ( )Lint flllli11 Stnpll tngl h 11lUt lpl~ Contpnt Lpnf Composile( 1middot12middotjnl Clor
11
S211 llj Ina S2ll Pimn 821 Pima 8213 Pima S21 Pi 111lt1
120 Il 1middot11 III7 Hmiddot10 102H 940 1027 II 1 1 ~ J middotImiddotUI
12 112 1middot11) H~ 1 )middot10 102middot1 )Il 102li 940 1024
J10 1O7 940 1024177 lmiddotU) 1021I ) 1middot11 middotImiddotI ~77
lmiddotIO 107 940 1025 ~~ ) I~) 1middot10 102
tlrlg(l JmiddotI middotImiddotU
~p ~ 10O 91(i 102011 ImiddotO 1 IK ~~ ImiddotIO 1UJI
21 Illo nnH 1l0 1112ll Hl1 99S
271 21 120 lOO ~)2(i 1020 111 1111
l lll 111202 gt-12 I LII 271
)20 IllO l2il 1011 H~) 220 lItl 101
tYlmiddotra~(l 111 I LO ~--==-=--=
) SlP footntlts at lnd of tahll
0)
TABLE middotJ-Physica properies llsed to desigllate Iarieta difCCIlC(S of StollcIille 213 alld Pima S-2 coltollsl-Continucd
Lint for[ign Grnli( indtx ( IStapl IlngthBall (nut lPI~ tonU)l1t dpsignHtlon
(I l-inl r J Color Lpuf Compositl
S] Iimn Sll Pi 11111 S Ii I11n SIl Pi 11111 S211 PilllH 11 l
bull vlmiddotragl
1
11
l-IH
middotl~
1middot111
IU) middotILI
111l
amiddotIl aHJ
amiddotI1
Uil
poundl IH
middotIO
lii
111l
)I(J
)I()
l)
WII WIll)
]() 1middot1
j() 1middot1
HIlo
iiO lltii1l
1ltbullbull0
1U1l1
Ill lOO
lOO]
HHO I()l
IltKJ
HH1
101middot1 HH7 1003 --shy ---shy ~- shy]00]
11
I I
vPIUJ4P
1lCJ -11) )0
1-11
111l
middot1111
110
middotImiddotID
middot11]
IS()
)1lt
1011
~7()
lin ~l
) -)
1
II1l BIn )IO
)middotIO
llHl)
101middot]
lHlli
WObull
f)IlO
1iIO
l20
JOa
mI Iiibull
n7H
lBii
)oo In2 lO7 1H7 )11 H7(
--~ ------~--
UO() 085 Oqral
aVlmiddotagll lt a I Ii I Lob lllla 2()h 1)middotIlla lOUih lOlltn lOtJHiJ 915a 100Gb
lValtlll- an Ilragls of a slIllplls fl pnch of 1 r(plications nlll(S dlurmilwd hy (otton Division Agriculturul -lnrk(ting S(Imiddoticlt CI(mson SCbull with thl lxl(ption 01 valu(s 101 tupl Ilng-th and grnd(middot imiPx whkh (n dltlllllinpd h) tIll (olton Dimiddotision Agricultural -larklling Sprvict Orl(I1ood 1li8
TIll 1st numhr nI(middot tll (Ill l1loislllJ( (onllIH hl1 d to tIl( CJuantity I[p
(hrlt111 ltllragps nol follo-tmiddotd by till sanl Itllpr aI( signifkantlv difflrlnt at tIl( 1 1(lt101 (lroJnhilitgt liS d(IlIminpd by l--lpllL
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
TABLE I-Physical properties used to desilfllate varieal differences of StOIl([iC 21] and Pima 8-2 cottons l
(nuslicnirp I-licronailCFibloglnph 811lnglh
Ilading Hali ~ )( Hpnn II niformil~ Is-inlh gagl ~IHtUImiddotill Fin(I1Pss
indlX () (ugin)dlsignat ion Ipngth lin) Iutin () (gllX) 8211 Pima
S211 PimaIinlll SHl PirnnS211 linHl 821 Pima S211
aH7 )(iO middotloa117 middot117 21() l2middot1() 7) 7~~7 middot170
11 lllHO L2il 1031~)7 -177 (n middotIGO
12 LOS7 12lj7 117 middotI 7 210l 1117 iHt l(n u 01
11 lOS l2(ll) middot111 middot131 21m 121 Idl 71)1 middot170
37middot1 Ilill middotIO1Li 2121 1210 Ir0 rO middotL7lOSl 121 IlliAlrIW
171 l(iO U17 21 l (I) 12Hll 1(10 ImiddotO 2111 12middot17 7x7 tH7 middotL70
7~)~7 middot1ri7 171 middot1flO 107 2 l 1III _ I 1middot171 - shy middot10 211 1200 71l
7H7 7HO middot171 177 IGO U)7 )1 1107 1H7 li7 middot1middot17 211 12211 _l
I ~)~() 1middot1 211II l~)~ 7KD 7t-iH middot170 371 middotIGO i)OO4 PI~ugt~ bullbullbull IIll7 L2HI
7~l7 middot1Cn 1(jJ I()() middot100If) 21nl U 710
7~1 7H7 middotlli1 177 lfi) 10011 1 121 1111 1ll7
12 1 1l 1111 Ili7 middot11l 2117 1211 middot170 177 middot1(iO 100211ilgt 0 iU7 7Hi 1120 1107 1711 Ia
11 J )( lI (Jl) 7~1l 7)1l li7 3 72 ~15S 400 (llage Ll loH middotlLH =~~ -==----=--~-
I 1jl 1GO 4001Uil 7~L7 7DI 157 LID
II 1110 111 0 171 17 2211
12 I 117 11211 middotIHII III 7 2IO ll1Il 7JO 711 middotun a77 1(jO U7 Ii1 middot100
171 middotfLU 2171 1LliO HOO is7middot1 1 1)7 LII7
middot03 170 middotIfj(] 01 Lalli 17 lIi1 11 1llS 7~LI 711 l~rngl 11lK
(hprnll 1middotHHh ~1r12H 12711gt i~L lH 7~IOn middotIlH1 172h middot1GOa middot102b
1112n 12l2h middotlIi1211H(IUgl
(indl indlx ( )Lint flllli11 Stnpll tngl h 11lUt lpl~ Contpnt Lpnf Composile( 1middot12middotjnl Clor
11
S211 llj Ina S2ll Pimn 821 Pima 8213 Pima S21 Pi 111lt1
120 Il 1middot11 III7 Hmiddot10 102H 940 1027 II 1 1 ~ J middotImiddotUI
12 112 1middot11) H~ 1 )middot10 102middot1 )Il 102li 940 1024
J10 1O7 940 1024177 lmiddotU) 1021I ) 1middot11 middotImiddotI ~77
lmiddotIO 107 940 1025 ~~ ) I~) 1middot10 102
tlrlg(l JmiddotI middotImiddotU
~p ~ 10O 91(i 102011 ImiddotO 1 IK ~~ ImiddotIO 1UJI
21 Illo nnH 1l0 1112ll Hl1 99S
271 21 120 lOO ~)2(i 1020 111 1111
l lll 111202 gt-12 I LII 271
)20 IllO l2il 1011 H~) 220 lItl 101
tYlmiddotra~(l 111 I LO ~--==-=--=
) SlP footntlts at lnd of tahll
0)
TABLE middotJ-Physica properies llsed to desigllate Iarieta difCCIlC(S of StollcIille 213 alld Pima S-2 coltollsl-Continucd
Lint for[ign Grnli( indtx ( IStapl IlngthBall (nut lPI~ tonU)l1t dpsignHtlon
(I l-inl r J Color Lpuf Compositl
S] Iimn Sll Pi 11111 S Ii I11n SIl Pi 11111 S211 PilllH 11 l
bull vlmiddotragl
1
11
l-IH
middotl~
1middot111
IU) middotILI
111l
amiddotIl aHJ
amiddotI1
Uil
poundl IH
middotIO
lii
111l
)I(J
)I()
l)
WII WIll)
]() 1middot1
j() 1middot1
HIlo
iiO lltii1l
1ltbullbull0
1U1l1
Ill lOO
lOO]
HHO I()l
IltKJ
HH1
101middot1 HH7 1003 --shy ---shy ~- shy]00]
11
I I
vPIUJ4P
1lCJ -11) )0
1-11
111l
middot1111
110
middotImiddotID
middot11]
IS()
)1lt
1011
~7()
lin ~l
) -)
1
II1l BIn )IO
)middotIO
llHl)
101middot]
lHlli
WObull
f)IlO
1iIO
l20
JOa
mI Iiibull
n7H
lBii
)oo In2 lO7 1H7 )11 H7(
--~ ------~--
UO() 085 Oqral
aVlmiddotagll lt a I Ii I Lob lllla 2()h 1)middotIlla lOUih lOlltn lOtJHiJ 915a 100Gb
lValtlll- an Ilragls of a slIllplls fl pnch of 1 r(plications nlll(S dlurmilwd hy (otton Division Agriculturul -lnrk(ting S(Imiddoticlt CI(mson SCbull with thl lxl(ption 01 valu(s 101 tupl Ilng-th and grnd(middot imiPx whkh (n dltlllllinpd h) tIll (olton Dimiddotision Agricultural -larklling Sprvict Orl(I1ood 1li8
TIll 1st numhr nI(middot tll (Ill l1loislllJ( (onllIH hl1 d to tIl( CJuantity I[p
(hrlt111 ltllragps nol follo-tmiddotd by till sanl Itllpr aI( signifkantlv difflrlnt at tIl( 1 1(lt101 (lroJnhilitgt liS d(IlIminpd by l--lpllL
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
0)
TABLE middotJ-Physica properies llsed to desigllate Iarieta difCCIlC(S of StollcIille 213 alld Pima S-2 coltollsl-Continucd
Lint for[ign Grnli( indtx ( IStapl IlngthBall (nut lPI~ tonU)l1t dpsignHtlon
(I l-inl r J Color Lpuf Compositl
S] Iimn Sll Pi 11111 S Ii I11n SIl Pi 11111 S211 PilllH 11 l
bull vlmiddotragl
1
11
l-IH
middotl~
1middot111
IU) middotILI
111l
amiddotIl aHJ
amiddotI1
Uil
poundl IH
middotIO
lii
111l
)I(J
)I()
l)
WII WIll)
]() 1middot1
j() 1middot1
HIlo
iiO lltii1l
1ltbullbull0
1U1l1
Ill lOO
lOO]
HHO I()l
IltKJ
HH1
101middot1 HH7 1003 --shy ---shy ~- shy]00]
11
I I
vPIUJ4P
1lCJ -11) )0
1-11
111l
middot1111
110
middotImiddotID
middot11]
IS()
)1lt
1011
~7()
lin ~l
) -)
1
II1l BIn )IO
)middotIO
llHl)
101middot]
lHlli
WObull
f)IlO
1iIO
l20
JOa
mI Iiibull
n7H
lBii
)oo In2 lO7 1H7 )11 H7(
--~ ------~--
UO() 085 Oqral
aVlmiddotagll lt a I Ii I Lob lllla 2()h 1)middotIlla lOUih lOlltn lOtJHiJ 915a 100Gb
lValtlll- an Ilragls of a slIllplls fl pnch of 1 r(plications nlll(S dlurmilwd hy (otton Division Agriculturul -lnrk(ting S(Imiddoticlt CI(mson SCbull with thl lxl(ption 01 valu(s 101 tupl Ilng-th and grnd(middot imiPx whkh (n dltlllllinpd h) tIll (olton Dimiddotision Agricultural -larklling Sprvict Orl(I1ood 1li8
TIll 1st numhr nI(middot tll (Ill l1loislllJ( (onllIH hl1 d to tIl( CJuantity I[p
(hrlt111 ltllragps nol follo-tmiddotd by till sanl Itllpr aI( signifkantlv difflrlnt at tIl( 1 1(lt101 (lroJnhilitgt liS d(IlIminpd by l--lpllL
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
level) physical properties as determined by the F-test (table 4l The differences in the physical properties of 25-percent span length uniformity ratio strength (1I8-inch gage) causticaire (microshygrams per inch) and micronaire for the two varieshyties of cotton are also shown in table L Table 4 indicates that staple length foreign-matter conshytent and grade index were significantly clifferent at the l-percent level of probability as dettrmined by the F-test
Dependent Variable
The experimental data relating the force required to compress lint cotton in a model baitgt press to the independent variables are shown in table fl Tht acrage compressive forct varitcl from less than (-i00 pounds to Marly 102000
pounds as lint moisture content dcnsity quanshytity and ariety changcd
Analysis of variance of till data as a split-plot statistical tit-sign is shown in table (1 The analysis of uriancc inclicatcd that moisture contlnl ((gtnshy
sity quantity and the interrmiddotction between moisshyture ancl quantity w(re significant at the l~pel(ent I (el of probability The interaction between vashyriety and moisture was significant at the 5-percent lee1 of probability
The two significant inttraction terms (moisture times quantity and variety times moisture) inclishycate that the dfeet of moisture on quantity and variety is not tlw samt at the tliff(rent iLvels of (ach variabl(
Re~ression Analysis
In ordtr to pstahlish tht minimum number of ariahks 11(CeSsary to descrilw compressive force a regrlssion analysis as conducted
Using a linear regression analysis the incIPshypendent variahits of moisturp contpnt density quantity of cotton and varitly pr( cOITtlated individually lo the forct required to compr(ss lint cotton By this means lhe variations in data that could bt attrihuttd to tnch indtlwndtnl variahlt (1( dctllminld Usp of a common logn-
TABLE 5 ~(()mfJr(ssil( force associated llilh lariatioll ill cariey delis it lillt moisture (tlld quantiv of COlOil ill the model hall press
l
S II I~l- 1-111 ~l[il-
Sl~ ll) 1HIH I 2~H)K 2 (11f)
SI1 1IH O1l 11 to Cl ll
S~I 111 )Ja 1IS~1 ~II1
Smiddotmiddot 1middotlll ()~ I~J(S ~l~()
S~I ll~middotl I~I 11111 ~Im
Sll DII ll~() SII~ I)(~
Sl~ H[lH ll~)H
Sll I~HI hpoundo lH
S II (HI ))~ (17~- 11f)
SI~ n~1 tl liIHiS I 10)()
SI1 1IIHIl ~ll 1 1
11 I I fl I I)1 lisIO
II~ 10 Id ILl Ll l1l1l1)
Ila l3-J) UI1 I~l~t 27(j~1
I~l 11 II middotIs1 l~[i() ~1l1 I~
p~~ 1Hl t-H 1 Il
I~l 1 11 Il~() I )111) ~1 II ~
111 l~1 I-ii -- ) 1 [Ii I)
Kft~ 1()I~ ~ri() 110
s~1 ~U7 1- l II 01 ~IH njfi7 Ilntilj
i~J 1~111
1 gt~-lS 1 1111
lt111lt5 an tlw H(rngl of 1 rpii(middotatinllq
qualltity
(olton (1gt I
IOIIl 1[)0
111 I SS[I 17 1 (iOl
Ii WI HS)~ 1() ~ l 11
J n~ lol -LIHl IO)
101 1lix Ill(J
II I~ ss
l~lIJ -i~q~ lUll) 11ln
0 -lK17~) fl ~) ilLS
1 t~l~ (IIIIII Ii ~ J-l
~ [II Is7 t s7 111
1t~) l~I I [LH
3()1 1hll ) I I)
lllO
Ill I ()
nllO~-l 1- 110 ~(](J
ls()) ~7)O I~ ](~o
1-1- SI(i1 lpoundil I III
Ill I I I IIIQ 1Ii ~[)11
~L-)~~2 llq~)7 Il71) )IU7
~lll~ 11 Ill lijq 1-)li7
1~1ril1l (i (ih ~1)IS
) t7~ 1 71 s )2 lILl~
no lK177 111
~ ~(f
IIll Spnfix tlPlwt(middoti Stmwvillp ~lr (01 tOil lOtI tlw PmiddotPJImiddotri- clfllolls Pima S- olloll
1111 1st digit of tlw ha (isigllillinll nlJmh(l indkill(s II( tnniSllIIP ((1I1knl [( (w ~d tIl( quantity i(middotp
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
TABLE G-Analysis of variance for the split-plot design used to evaluate the force required to compress lint cattani
Degrees Sum Sourcp of ariation of of
freedom ___ ~~ 0_ _______~squares
Ilpplication bull 2 Varipty 1
IE IOrc) r a ~ ~ ~ ~ 2 ~Ioisturp bull bull l Variety bull moisture 3
Error b G I)lnsity j
VariNy bull density ii ~[oisture density Iii Varietymiddot moisture density 15
Error c lO Quantity 2 ariety quantity 2 ~I()isture quantity bull ()
Dpnsity bull quantity bull 10 aricmiddotty bull moistulp quantity ()
ariety densitv bull quantity 10 ~Ioisturl tilnsity quantity lO ~ad()ty moistllrp ~
dpnsity quantity ao Error d bullbull 2middotIS
-~ --~-----~ 0006
027
027 8403
(J7B
02middot1 Hl2lOS
029
oa(
0middot11
()7middot1
105
004 177 0middot11 (JmiddotIS 02(J (Hi4
0(jG (middot10
lt(lITccted total - C middotIll 172017
~lean p
square ~---------~--~---
nOO) 0208ns ()27 1)71 ns 01middot1
2S01 712B22 02G G()Gii 00middot1
a2~122 13083S11 bullbull OOG 2l4iins 002 )5Sns OOl lO$)7ns ()()2 ()52 20lOl) bullbull ()()2 71Ons 02$) 11middot102 00middot1 Lfi7Gns OOS l1 (JmiddotI ns ()O2 773ns 002 821ns
0J2
OO
HHl Compn-ssivp forcl and density (re coded to common (basp UJ) logarithms ns not significant nt til( fir le(1 of probability
significant at th( 1 I(v( I of prohability bull significant at tilt fil llv(1 of probability
rithmic transformation for compressive force inshycreased the coefficient of determination (R2) for Cachindependent variable The regression of moisture content on logarithmic force indicated that 61 percent DOOR) of the sum of squares of logarithmic force could be attributed to moisshyture content The linear rp-gression of logarithshymic density on logarithmic force indicated that 94G percent (lOOR) of the sum of squares of logarithmic force could be attribute~l to logarith mic density A similar analysis with quantity of cotton as the independent variable accounted for only 025 percent of the sum of squnres of logshyarithmic force Virtually no correlation was obshytained between compressive force and variety
Addition of the significant interaction terms did not improve the efficiency of the regression equation
Results of this analysis indicate that moisture content and logarithmic density should be inshycluclCd in a prediction equation for logarithmic forcC wbereas quantity of cotton and variety should be excluded for a given size of press
Quantity of cotton was not important in acshy
counting for the sum of squares of logarithmic force The compressive force was not the same for the three quantity levels but no pattern reshylating the compressive force to quantity of cotton emerged and table 5 indicates that the variation in the compressive force at the three quantity levels is random Tn some cases more force is required to compress the smaller quantity in others more force is required to compress the intermediate or larger quantity Thus the dif ference in quantity is significant in the spitshyplot analysis but not in the regnssion analysis
The multiple linear regression analysis of tlw data from the Stonevillc 21r and -Pima S-2 (otton yiekled the following prpdiction pquation
log F Oj(jO)f) OOfiHi2[middot lG9Hlllog 1~ (J)
where F comprcssip force (pounds) M lint moisture contcnt wet basis
(percent l P density (pounds per cubic foot)
and log common logarithm base 10
Equation 1 is alid only for a Hl-square-inch
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
TABLE 7-Analysis of tariallCC lor the regrCsshysion olmoistllre (ontellt wid logarithmic dellshysity Oil logarithmic compJ(ssilC lorcC li)l a model bale press
S(JUItl r)pgrp()s Sum ~l(nnor of of F
squHnsuriatinll fnldolll ~(ll1arps
ftlrihutnbl( to )rpgn1 ssltl1 171) ~71 ~O~()H
I)(ial iOll 110111
lpgIPssi()11 1~) 11 00 ~
Total 111 l7H
signifilnnt 1t rill I 1l11 nr prohabilily
pr(ss TIll cOlfficipnt or dlttrl11ination for qUHshy
tion 1 was (U19l hich indicatld that mll pershyc(nt of the sum of squarlS of thc deplnclcnt aliahlt was attibutahlp to thp intippenclent (1riablps ariltal lffects had no influencc on the fOlCl nquincI to comprcss lint cotton
The analysis of arianc( for tlw regression (tahll 7) indicattd a highly significant (l-I)(rcpnt I(pl) F-alul attribuwhll to tlw rlgression which
nwans that the association hetppn till ariahlps is not dul to chancl
Ill( r(lmiq important( nne till c1ir(ction of
100000
70000
40000
20000 (f)
0 Z ) 10000 0 CL 7000
w U 4000a 0 IJ
Log Fmiddot -066065-005872 M2000 l
+369843 log P
R2 099
1000 l 700
o 12 15 20 25 30 35 40
DENSITY LBFT3
FICl HI Itlgl jnn 1Imiddot11l ion-hip It 111 Igariluuic [0111 tIld logali[ I1nlllt dllhiI [ tit - nd 7 11lt1
(llll 11[UII Contllll hmiddotmiddot middotI Inr II tmiddotquarmiddotilH11
hoI pn
TABLE 8 - Regrc8siol1 analysis of I he force reshyquired to compress linl cotton in a lode hall press
Smudardshy Purti1i Standard
uriabl ipd
part ial nlt~rpssj)tl
CDlTt-
InUon eushy
(nor of I(gnssion
eu
(~()mpulld
I-valu(middot
cO(ifiei(lll ([fiei(nt pffiei(n t
~I [stuI( nl lLlImiddot llllOlns 1~lDfj H
l~()g
dlnsity ~)~~ Hm bull Il Illns 2~jmiddotIpound)middot
signifieltlt at tlw 1 1((1 of plobnbililY ns nol sIgnificant al ttl( ) I(pl of plIlbnililily
influence of moistur( content and logarithmic tknsity is shown in the morC detailed regression annlysis in tahle 11 ~Ioisturl content is lllgativtly correlated while dtnsity is positi(~ly correlat(cI
Figurt 2 shos in graph form th( regrlssion rllationship l)(twlln compr(ssi(l force and denshysity for 3 ) and 7 percent moistull contpnt Figun l is alie only for a lmiddotmiddot-squatl-inch pnss
CONCLUSIONS 111( [01(C Ilquind to COlllp(lSS lint cotton was
found to lw significantly influtncCd at tlw I-pCrshyctnt jp(l of probahility by lint llloislurp content density quantity of cdtton and tilt inlpraction of moisturt contunt and quantity At till ii-pershycpnt Ip(1 of probability tilt internccion wl(Cn ariety and moisture as significnnt The df(ct of aridy and tilt l(nwining intCractions on comshypnssiC forc( was not significnnt at till j-p(rC(llt Ippl
~rultiplt linpnr rpgrpssion analysis of thp (ffcct of lint moisture conttnt cllnsity quantity and aripty on compl(ssivc forcl in(icatpd that qunnshytity and aritty (1( not significant in (pscribshying thp data Csing lint moisturl content and IOgnrithmic (bast Ifl) dpnsity as till inclllwncllnt ariablls a c)(fficilnt of (lptprminntion of (UHl2 (1 obtain(cl
Thl split-plot analysis nnc thC rcgnssion analshyysb cliff(I(c as to lIw imporltlll(( of tw quantity arinbl( Sintp no consisLtnt pattlrn lllnting quantity to lompnssin forc( d(plo[wd (Cll
though a nlliation in compnssivl [orcl attributshyable to quantity did lxist tilt I(pnssion nnalyshysis did not indicall a corrtlaliot1 but rntlwr inshyclud(d tlw nrintion in (qwrinwntallrror
Addition of till significant intpraction llrms did not i m proC Lht tfficilncy of llw l(gnssion equntiol1
~)
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
10
bull
Density was positively correlated to compresshysive force while moisture was negatively correshylated Density was over four times more important than moisture content as judged by the standardshyized partial regression coefficients
Common logarithmic (base 10) transformation for compressive force and density substantially increased the coefficient of determination
Results of the experiment are valid only for a model bale press with a cross-sectional area of 144 square inches Qualitative but not quanti shytative inferencEs can be drawn concerning other sizes of presses
Data from this experiment cannot be used to directly improve the appearance of the Amerishycan bale However the model study having deshytermined the relative importance of the variables involved in compressing lint cotton establishes a basis for work to be conducted with full-size press systems
LITERATURE CITED III Anthony Stanlty and ~1(Caskill Olhpr L 1)
Forces involved in packaging lint cotton The Cotshyton Gin and Oilllill Prpss 74 (15) 7-1I
(2) --1974 Development and evaluation of a smallshyscale cotton ginning system US Dep Agric Agric Res Sen IRep ARS-S-3G 9 pp
(a) Bennett ChaIles A H141 Compression of cotton at cotton gins US Dep Agric Agric -lark Servo and BlII Agric Chem and Eng Publ ACE lU I) pp
Imiddotl) -- and Harmond J E Hl-5 Standard-density cotton-gin presses US Dep Aglmiddotic Circ 7a3 Hi pp
Ui) Cotton Digest International H17l The Ugly Amerishycan bale in sad shape even before it is exported Feb Ul 194 pp middotI-G
IG) Gaus George E and Larrison John F H15I Autoshymatic mechanical equipment for sampling cotton bales during ginning US Dep Agric Prodllark Adm Publ 29 pp
I) Shaw C Scott and Franks Gerald N 19GO Autoshymatic sampling of cotton at gins US Dep Agric Agric Res Ser I Rep1 ARS-42-l3 25 pp
(ill Wright John W ancl Bennett Charles A H)40 The compression of cotton and rtlaleti problpms US Dep Agric Agric -lark Sen and Bur Agric Chem and Eng Gil pp
WI -- Gerdps Francis L and Bpnnett ChnIlps A H)middotI The packaging of American cotton and methshyods for impronl1wnt US Dep Agric Cil( 73G (j~ pp
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