OPTIMAL DESIGN OF FLEXIBLE PAVEMENT

SECTIONS

SEPTEMBER 1969 - NUMBER 29

~ ----

SS H[JAL.,

S, R YODE R ANO

J. C OPP[NLANO[R

Digiti~ed by the Internel Archivein 2Qll with funding lrom

LYRASIS members and Sloan Foundalion; Indiana Departmenl 01 Transportalion

htIP:Jlwww.archive.orgldetails.optJrnaIdesIgno

tOl J. P. *-1.oqb110. Dtreet01:Jot"t Kipap .....reh ""oj-.:t

"'OIl' II. 10. llteh..d. "uoctat. DtrectorJolat I~, ......rcb ,roj-.:c

S.p~r la. 1969

!b& attochM "chnlcd l'""er anUtid "OprllMl D..ll" of nulhlo,._1' ketl ........ b.. boa" pn,.rM 1»' .....n. S. S. s.J.l, S. I.'1_, .1Iod J. C. Oppnl....t.r. Tboo p.,er h.o. bo." .ukolctad cO tboIlIp., neb _d for p...utacto. at tlI& 1910 _ 1 IIoUl..._ ro.. oub '1...nt ....bHeaHon. n... ,,,•.,..,•• of chto. ., 1'.1•.... h II..alop • uU""d ..thocl (0. obo "Pttul ••I.etlon of natblae~o". Klata.·colt tloleklw ..t..eoI for flui"la,._on to "OhI)' tho II.."". of tratfle .nII ...vl._ne 0" .ho..,••_ of ,._n' .n"",,,ra .DoI .0U ."wort. lach Uulbl. pav.......t....U"" fIOUllh .boo II..1so "*'J.eUw. (or ,ho. lano totd co.c.

Tho. ,.p•• to p...... tad cO ch. 10..11 for .pp...... 1 of pr...ntoU_.1Iod ......U ..Uo.. by I'M 11p.y k&......h _.11.

a.spaetf"11y .,,1>.1...01.

?/...a'/~a••ol11 L. Ki.baal"••Ott... blrecto.

""'..C?t'YI P. L. A.bba""lMo .. •• •• ~~ <. •• Scholer

•• ,. Dolch •• •• 801'...11 •• •• Scott

•• •• _.. ,. •• 1Ia...... •• ,. Spnen

•• ,. er.cco ,. •• 11&."", •• f.. J. lIall1h

•• ,. Cu....Ula.. •• •• K<olld."l\.oll ,. Il. _ •

•• •• JIo11ock •• •• lUI.. •• J. 'loci••

I. I. kJal, I. I. YoOB',.rd J. C. OppnlaDlSer

.fo:\.lll;~ tw_rclI. JIro,IKt.

1'ro,1ec:t 11<>: c-36-~

ru. 110, 6-ro.8

~ DII1_tJ

~te. Iad1a_

..". rt 18, 1969

'1'"

·'K~l~··

.!,•..

.•

•a!·

.!

0'0

'l

I~

•~

~~

~n

~~

~~

:~

I~

~:

i~

~i

!l

[:

iI

r1;

2a

::i

'II!

.~'liI!"~

~...

..",,

:;2

~"8-

....

....."....

..0

Ig

~~

I~

q~

n~

na

~i

fi~

~~

~~

~g

t~

.•i.

·'.

!~

~•

~0

K·.

0•

••

l!

:~

:~

~i

~~

!n

s~

~g

~!

1a

a~

~~

..~

:;:

;:~

~..

..~

&~

.~

=I

~..

I!

&~

.iii

'•

•,

•a"

a"i

!:[~

'.'

H•

I•

1llt;:~

ae

.iI

"'0

if..

~~

flit

;i

~~

~!

'i

~•

;i·

~;I

IJa

I[

IiI

~~i~

~i!

i~i

;:

,I~

ris

!>

,.!.,

•'0

"i

."1

"'

•••

*:

.?~:

'II"~~"~i::

31i

I'.~

•I

."3

~i

Z:

oili

!~

S:-

~i

!1

~~

.si:

~~

•§

~..

af

....

ik

;g

~i!;"

i..

n..

.~"r~

..",~

.....

::,'8

~~

.."~ll

•Ii

',!i

!i

f~••

ii

1•

~=

•[

••

§..

i:

~=.

~ft

~=

....

~~

~~

i~ln[iJ'~lr3i~li

i!i~iii

~'i'

··n

··o

·i-·

"~

iI

~J:

~...

....

,.••

ti"

0&

."

•K

'••

•••

11-..

~1ll!

..8",,~

..i

......

:t..t

:t~...

~..'"

i~

i~

a~

..&

:I:i

l!.:lr

.~

gt'

~•

• • l

111_ pvro......,. .......~• ..., OIl Wl1t ."•• ta of pl_ .

e........llu. B.teDtUl e=-t ..'fins- rMlIlt in u.o "eJ.Kt1"" <>,

rla:ib.le ,._t a...u""" b7~ d".1p pro<:e4......

u

•

..2'

~

.••

"·'

r.

o•

i•.

0..

Ri,

:il!

'llj

f!

~!"I

fi!

iIB.~~

=...!.

..".

t-;l.

a.

~'1!'!"i1"

~~

!•

•o.

I~'~ij~i~!i

h0

'i

Lr1

d,"

iin

i~

~i

..~

i;

~·8;:3o::~~

..~

•!

..

i"

I!

~Ii

f..

j!...

eo:.;

·;:1

....

"'1

1..

6:~1;lfai'~~.

'i!

.•.

&0

.....

<.t

.;

!,

!I

I!

•"i

•0

~0

•i

gB

1i

..<>

"

:.!.

l.a

l."I

O.!

",Q

5':

••

i~

:I

iii

i~

i~

1~I

i'I~

~'.

],

I~

gi

~

P1

Q.

!•

~•

;;lei

~t

Gl>'

[~a&l,o

i~H

is

ife

gi

::..

<>B:

~g~i::~

!;

:s

;:I-

'it..

..i

..If

...i!~""~

~qU

..fl

t.ll

,'~'i"O

;~"l:::

ala

..:I

..1l~

...8~

t:'';l!.i·~

:3·i

1f

•..

."..

ij;.

:;!J

..I:

'!•.,

I""

.,.

1}iii

n'Ii

.....

"

"1

""

Iti

l...

""

,•

•I

!•

,..a:

-....

.a·

•o

'..

.....

..;

B.I

!i

~

nn

~~

..,

~g

::~

,.,'

,.

i:...

ar

ll·~iq

...!

i...

0-

i..

~S'

I.;

;:dil

.....

!..

"S'

i. •

• il ~I

•• •• ·" ,• !:-

...'

~~.

~

•1~

•• Ii Ii&"

,i •• !i i:

••

i N ~ ~ I i ~ M

"

,pnctt<:ltl _Ild ee".,......l aolution to tlwt Fobl_ of dul.fP\1!lc tlG1bl.

pI._ta. Tt.1. approach to <l,eal.ga~... the ••_a or 1QW14

q1_rlllS·

•

A n.z1ble p.e....lIt d1Itl'1!11rtu tile t ...mc l..d. tbl'O<l&b • l)'ltea

~ pll-t~. to tbe .lItl&nd'" Tben PI_lit 1117"1'......

pDU'lllT l<1e1lUl'ild .. •vh"". \Mlle ••nol. .\Illba... lI....enl <l1tterelIt

th1cl<r>oeu c...1nIt1otl1 ~ tile _tel'lIl1 c.-prllUlg til. ""1"",, ~"tI

_,. a<l""l"tcl.1" uti.ty tIu! _tn>ctural 4a1&" ~ tlIe h1gltw:11;f PlTeOlellt •

............. III utid'act"..,. tlIiClaleU ......Il&_lltc _y oct prtrrld" ...

ee"""cl1 "oM1"" to the eng1.....rill8' pr<>blQl ~ PlY_1St ~-101. III

geDenl. oa1)" _ pll_t _tnl<>t<>:r.. 11 III optiml .1I1ec:t1= at the

fill:t1ble pa......t C__1It1 t<n the o1e.1gDIte4 4nlol cca41t1ot11.

Tbe "ca<~ tor thl_ ne:dbl. PI...-rrt 4...J.sn pr0ce4\IN 11 W".trated

b7 tlIe logic <l1lI 111 J'1&III'e 1. 'D>e total PlVWIeDt Il)'*t.ea. 11 dncri'be4

b7 tlIe nl'1O\1O; <l 1p pr.Mtu. >ltdcl:l repJ"UllDt tram" ..ca41t1......

• 011 .u;pport nlllN. pa_t _ter1l1 cm...etvi.t1.... eDf11'C11DOlltll

ethct•• U>I1 PlY_ porto..._ reqv.1...-nt.. III .Wti"". Im1t CO-til

at pll_t C<apoDllIItI .M "lteI"Mt" cl'Olla-.eet1011 4e11&111 .re """,,1<len4

111 tbe ...leet1"" ~ the optt.m ntlldbll pll~t .-.etlOll.

Tl>e "trw:tural requ1rlaellt. at tln::l.bJ.e po........t..... pre41""te4

011 III e"u.ote4 ll.-:r or "'IlI1nlent 18-tip .1~-.zl. lad repetlt1.....

Nl4 Oll ... "ppropriate _"\IN at the .oU .vpport "ttOrd.O<I b7 thot .ub­

snd'" !be Il-..tl at ..._t portor.""" 1M "lrVl.rmaellt Ire .lAo

111CorponotlCl .. 1.lI1tl.el ".." t"l"I:Il.lIIll ul'Y1c_b111tiu ,,84 rest"""l

het<D'. I'Upeet1vely. !bol ..ClIb1Il114 .nlet ~ ttlffl.. 100041118'••all

.a.ppol't. pe~ pertw."""••nd ell't1""""""t 1. 4_eel II ••tl'Uet\ll'lll

...... (1I ..1,.....~ to tlllt 111t...1a d..lca pld. r>t t ... .-..n",,"

ih,.

"ii',,,f •

Ilj •ii ~

e- ,11 ",! ~. -

I- Hii"iHf "'! i,I

,In "I'L ! .-" ,~'; ~

I- ,,': ! 1

i ~H ""

, -f

! I- "IIi. iii'l l~

!~~·U~

r- !Il,\1

1111'.Ii i -i

"f. , -

,

iI

I•,,,I;!j

I!,l •-.' ,.! ~

'I ~,,..,,III•

I

,Auoc:u.tloot of State JI1cbwJ' ott:lelola tor floodlll. POYellllr.ta. (1)­

p,,_t e~t th1_u..... thell ••lected to re.,.-od"". t~

apeelt1ed .t.....,tI1.-1 ........ by .. liD e~....t1"'" ot Lo1f'F tbi_u

tt.ea ita e<>ef'l'1elent. at rel4U.... at llgtb. A 111m- po._t

t1dc_.. 11 .-1. to tboo ._tlon or the coq>OIII!Dt tlI1c_.....

C....l6e Uon of '1F1ft"""t omri.......aul faCt.onl, ._ .. d~b

at ~t p""at..U"". prvr1.dnI ..,,<>tller cOIIt...,l on tlle ulaeti"" of

.. elDI... po...--t thicbulu. tlIU dnJ.vl proc:..m... lpec:lt1...... __

",_t tb1~ ('1'001..) to .""<JIIl'" tar _ ..1..... inflUoeflC1ns

fl/W1roomom:al eool4.l.tlOCl•• !b1. _In'D_ th1"kne.. 1. boo..,1 0Il. .. ",,"!.gil.

P'~ 1tILIeh .....u1reo. leet".] du1Cn """11<».4 alld ...~It1ed

,0:11 IUWC'n ..1..... Tbe ter 1I!.fl1.w.... th1cme.. VIOL...~. tboo

4..1&11 "'luna"'''.'to __ " to>' V&r71"8 da1&D pr.c:t1~ •• Uftnt.l tn>o& ot pov....t

c1'OIIa••eetl"" ua1>le .. l"'Bdb18 .ltflrtllltl.vea In thie prOCKuzoe

ror dea!.&'>1l1C na:Lble po_to. !Ilea........llIe-nta 1l>o:1WSe "r"u_

n-eU..... witbov.t .llbm.••• cnlH..ectlO1l11 ¥1t1:l ._u '\:hr""'llb 'bO<ll.4.erJ,

and " ...,..·.ecU""'" with .libb nd a<&bd...w. 1'1tla.U:r. tba IlIO.1t e..u

or t!>e )110_"" c_U Ipa<:it1ed to plOnI1t the dea1p ~t n

a"""P'tahLo po._ .trw:t ~ u.o 1Mn """t. t'lI1a e.xt~ect1venH'

f1PF08c:b prorldeo botb an optWl. aII4 .. prsctle&J. a<>l"U"" to the

proble. ~ fia1ble t-VfIIIlOllt _1.&11.

,1D ......1 ....... u... MM-. W,*-o•• ul'r....nt <1adgn """"tn-lat.

,lid _ 4elJ.cD <It\:Ieetl_. ~ <le.1p objeetJ.... 1s to Ill'<ldllll'tl • f1cd.ble

...-.It ayat-, at thol l .....t totd cut nUdll tru. 8p11Ci:t1ed bawldI.'7

"ODII1U""". !boo 1J!-ple.". uzdt ,,0IJt. of u.. "-",lEt _ten.a depend

CID the locela 1>1 OIl>1c11 the ne>:1ble 1"''''''"''''\ 11 to be """"tr..,tft4. t ..

s441t1".. to the trd'n" lo,,,U!Ig. 1>011 ."ppwt. poTSlo8Dt perto....""••

,DOl~t c"""tn.!"t" pnet!""l Ua1tflUona Dtl. la)'V tll1_•••

.... apeeln"" 1D cDtl.ClUldilC'a with p....MDt~ cODatnlCtl.., proc:t1"...

DIe loc1e d1agn._ tor tllb aptl.Dl deaip ryf n ..:dble pt._.1. ett1l:l:turod 111 J'1&\U'e 1. A d~Ued daa<:rtptiOfl. cd tM. dctlll:!

techll1qUII h pre.end \II1l!.ar t"" f'ol.1<:loIing .,..tq.,du of DeUp

~...... Dul.gD. Secl:lou, ....", Optl.ll1zatlon Mcdill. au.. leeti"""

fI"<l'l'1de the YllriO'M COIIplUUCMl pn>e:edaJ'ct _ <leU.., teo.ture. tor

d~1l1ltC Ule optt..! ulectlOf1. of tle::dble pa...,..,nt .""'tiG....

1110 ~11Jl ~era ~eullt tbe vnl<>W11 ...... IU'8S of vertic

COlldiU."..., eon I~, pI."""",at ..tend I't~••• wrllOiWScUl

en""t.o. 0ll:lJl I'"-_t perf"...!.,. l"eqw.ZTlllftta. n.e .....\Ilt.o or tbue

enlll8UOI>t prov14e the • ......., qlantlt1... tMt .... _oary tor the

Ol.'u:.l .r.a1gll of t1eldble pa"-Ilta.

"'" ill1Ual .....ur. or 10M etabUl.ty of the .tibg....<t. eo:l.J. 1.

Get_lie<! bT the at;ooQ4a.r4 Cdit<>rah l>tarl'lg >'aU" teet. 'l'hb aoU

drength 1. thea t .....-Jat..... lllto the eo1J. al,lWOl"t .....11>. CBSV) ..

def1Ded. by the "->'1ce!l Au""1&tl"" or State~ Otfidd•• (1)

In tll1& It. ther~ eq.-t1Oll "". develope<! to Nlatll "oil

.~port ftllleS W CUito=1.l _>'1"11 "'1010 "'U,,"":

"""'" ssv .. _01J. eupport nllle .DOI

CIlR - Cll1itonWo beoorlllg "'"0.

7

,Tbe tr&rt'1e eODll1t.1OD1O are apl'ueed .. the ......... of 16-lI.1p

'l.!:IslOl..-.>tle 1",,4 l'f:;l/Itlt1 tor til, u,""1,,. 11t. of tbe PlIftMlIt.

'!!>en ~d eppllcoUooa ut1D.ted trao.1l ..... l ...UOll or the

tollow1ng t""-lla:

If • )65 (no) (DP)

17 .. tr""k hctor (18-lr.1p .1"&1• ...,.1. 1",,4

applleoU""" per ",",.). enr1

DP" dn!.ga pen""- (:r...re).

'to 4......1"" ... _aunt of the t1'tlelt hetor.... corrmti"" ... 4Ulve4

bfItveell the~ ot 18-l<1p 11rtgle-axle lead eppllto<t1Ol>8 .1>4 thd

pere_g.' of ....rto... trw:k type. 111 the t ..tt1" etro>o_. !be

-... 17" trQO'k hoot<»- Cl.8-ldp dllCltl-uJ.e 1",,4

appl1catl""" per ~).

1tl71'1 .........ge <SallY tratt1c 'f'Ol_ n the atoort

of Ute d..sica periOll (ntl1elel per- 4q

111 botll d1..."'tl"""l.AIJr2 • a'f'Ullge dB~ tram" voJ.... at tbe .nr1

of tile desill" period (nb1<>l.. pn' <lq

1" both~o... ).

LlI .. U':>ek bone ....... hrt=" (1.0 0.9 .:::1

0.8 t<»: _. rom- ...... lx-bne

0IW1...-t:.1 .I'f..-t.•• Qld. po_ ;lft'1'b.._ "'""l';J.......u ....~

~ lilt....lD&l. _Lp ~..-1.ar d.n_ •• tbt .b-<rl Mol

........ (6.

,...""1.&\1,,., at St:.~ Ill..-,. Oft'leJ.al.l t:>·_llU!)' w •• tr""t"Ul

req~ h' 1':>Io"n'V. \be foU:>o<1r.a lO1\01tlCU ..~ h ..

tbr..~ t ....... III UIe c<ap'.Jtar Focn- for thh .....1cl'

"'" ["")~_"lJ/[ 0." .-''''' ]10~ «sa) .. l.1~·19

o.,m6 [(ssv) - 3 oj • 0.97 1"Cw far)

00 .. 1Il1t1a1 l'I_t .-..t_bIJ.1t:J 1_ (11.2 tar

.ll~).

!be.~ of the *fI't1roc.ollt .... ~rl""~ ._rh..:l 111 tbe

rec10D11 hctor, ",d tbe du1red. pov_lIt 1""-",,, 1. 'podfl..:l 1>7

OOlected ...1.... fl:>:r tile iDitJ.al .ud t ..nII...1 pn_t .VT1c_bLllt,

ID:11c.... AD it...ttva PI'O"edure 11 1&O.,j to .o1ve the ._ eq...U ...

fl:>:r the .tru.ct1D'al -'>er of • partlcu1Ar <le.l.gol. .it...U ....

.hotbe:r co..o14ln'ett... of eorl.ouoeut.1 l.!lflueuc•• 1. to deteno1l>O

• 1O!.m- tb1_.. as • d... l.gol. llp1not the detrt.erIt.tl .fhcto at

f:r<>It .ett.....1ld tile 1"". of 'abgred••trfllgtb u. the .pr11lS br'Oak-1lP

1"1'1"". De.1p emrt. tbot wen d....-eloped: 1>7 L. D. Il1cllo prorld.

e<>rrelAtl b.....1.lllI: e.pe.elt:r .1ld Ce11fonl1.o bsrin,r tio

.1ld _ ....... po_ tbio:ltnu••ud beilrl.llll ,*poelQ'. (3) Adve ..

....... _pere<! free. tbe.. deo1.p ~:rt. fl:>:r 9-llp .1ld 1O-I<1p _01

1""6.. ....peetlve:Q"

lIbere 1'=... (9) • ·'n'",,· pe~1It tblekDeo. fO>' 9-l<1p 6..,1cD

......t t""6 (1nc.b<t.),

'f1l1... (to)- JC~ pn_1It tlI1ekr.au for l.O-lI:1p d..e1.p

_11""d (u..bee), eM

Ctrll - Cellfondo bari~ retio for red...,..." etre,.u.

conditlous.

I:"..

~

niP

,"lf~di

'PiH

qi

·gi·I':"~

i'•

'"E

O,

fitU~HHi

K~

~~

G..

~g

~9

-"'i

'e_

a!

'}..

.,,.

.a~

!";;

;;-:

ii~~

••.

~'.

!.

3-!:l

;"'ij

Il

~i

~~

~!

:'

•!

K~

afi

iGi

'lg~

Itf

~!H

..

"..

~&

r=-i

I..

f~

••

•i

In~

i~

~~

11

....

1

Ii~i

~~

~t~I~

iI~

!I

~[

!~

~t

[t

[i

~i

f'i

~i

i~

;i

8q

~i

~!

:•

iI

IIi'

II

I'

iI

Ig

!•

•i

•'

•••

•I

•i

~~~i'!l

..~!r~

;:~"l

,.••

"i~

O"i

~~I~

~iii~!

l~

!i

'i;'

''C

a"~ll

:I..

'S,p~

i':·

l.~..

.....

oll~

"f"

tO~t

!103

"g

'..

...

~~

I:

fiI.'

.".'

•I.

o•II

...,

~"0

Ifi

:~

&..

...

i~

..~I.

afi

I'l

;i

~;

~,

,!!

I!Ie.

iI

•"

~i5

~~Ir

~i~

~~

~&

i~

..f

~~~

8"

:::It

!I'g

I;

•

••

..~

..•

•.. i

~, •

,,

..•

i•

••<

••

• "• •

<,

"&•

!~

•w

"•

••

..•

..•

•,,

..~

•i

••

~~

, "••[

••

0

••

•-..

•..

•w

••

,i

..~

"0

i•

"0•

•••

•0

,!

~•

0..

•0

,,"

0•

ti•

..0

~•

••

..•

••

•..

~•

•..

•,

•..•

••

••

••

••

••

~•

•~,

,"~'

!- i

~[

••

•!•

••

"••

"~•

•..

•

•~

!"

,..

..II

t"~

[..

i•

•,

•"

,•

i"

,..

..§

([

,"

••

, •i

•§

00

•• •

..•

•,

i•

•~

••..

••

..•

••

i..

•, l

,<

,•

~.

,,

~•

•,

!,

••

,~,

••

~•

i•

..•

••

•,

••

"-•

""

•ti

•,, i

I..

•..

••

!•

•i

••

••

••

•i

- [..

•..

..•

•i

,••

•,

••

,..

•,

,•

••

..•

:~[•

••

..f

••

!0

••

•0

••

•3

~i

••

~•

J•

!!

..•

§..

..•

•"

•..

,•

Ii"

..I

••

~..

•..,

I,

••

•~

••

••-

.!"

••..

i1•

••

•i

,•

•!

•• i

..•

i,

..0

.... •

•..

•••

~•

••

~•

•••

!•

..•

••

•..

••

•..

..•

•[

1•

if

~•

••

~..

•..

•, •

..•

••

•..

•..

•"

~ •

"

~- ~

00 ,<

C ~

0 ,n• •~ C, 0

• ~• •0 •• gU~

8~0.~~

•••DD,~

•,0<

~

C•E•>0 c~ 0

•• u•D -• 0• •~ C

0

,•i•.;•uf!

,

,- '. ,.----,.

• -• •, •N ,• ••u • •• ••• 0 •" •00 '0 •,. ,. ••• •.' ' . ••• ~

,H '.,-i ~. 0

" -. •" O-N • 0- 0-, -..~tQ

.- ••

'. •

-

N

'.

\

"•c•E•>~

•<~

••oDD,~

-

'.

'.

'.

co•o

"

'" '. ~'0

0

,

.f=1 ~'."

I -I•

! " •• , "-• ::. i 1~" 2; :!_.i ,. "I gil,• • ... : .. "J

• • 1 m , ",;;;.1 •

I . 'Tt..r~J'~ 11"IT hi! <l,·I" •L I .. ",_u

'r1

c•,•>~

I":0·

~~,..~o~

!P".~ ,n" I fl1 I2:5"

• .,••-- -Ir--- ~

,, 1• "B,t_ S/' " ~*.C_OCIU A~.e9"11 Bosl

~ 5<1"","--

~

II: 0"10:0'

, " Pitch liz" I fl, ",.. moO

._--~ -,--~- ---- --- - - - ••----------11'_........ $hould" s.. ......

• •Compoctd An'"9GI. Bo..

0'- S<lbbo..

Figure 6 Shoulder Oeloi15.

",. C..-.-ucU_ ntb .1Ib••• t.ILr<>u«b IlIoIWllra;

[C1D1L ~ • ~: 21J .,lUll. 51· 12 x 2000

• [ Cr':oL kj "" ] "if '" 2000• 12 .. 21

.. [CiDf k,l .. e",I. ]"~ "'''''' ~."

['" ,w,].. 12,," " • I J .RJ "IIIJ -TJ

,. erool-Hct.1.... nUl ...-.. "'" Illt>dnl.-;

_. ["lD1L ~ "" ]'). 12 II: 2000 •~."

[ ',J>,", '" J.. 12 Jl 2000 • ".".. [CtiHj ". ]'"'''''' • 12l1Zf

["""'].. 1.1' .. iT

__ I • totool .. 0Ift or ph IIt.,._ (d.cllan per

1coIC1td1l11101 t<m).

C1

• wt con or~l '1' (dollo.... per tOlllt tl>I"

..t...h1Al 1, 2, 3. 5. 1M 8,4aUar1 pm- eub1c prd

tl>I" _wn.!a " aD4 6, 1114 6:Ill.an pu toot tw

_terull),

•

VI • <I....1t)l' ot ...Urt.l 'I' (p<.OlII<I_ po....~I .. toot/,

I po_ orl.4Ul (?II r· t'lf' ~__ le ... lOll ""c-...,

"ItCU"" or 41'>'1d004 r_ I.... ~,.. &ncl 16 tt

r,.. or~ se-ct.!.c.l or ..in","" &ix-a... ~).

4J • tld.~ or _ter1~J 'J' (1..,bu).

J .1 f'<1r bU."""" Iur.U. , to. n_bUts<o4 bole.

) tor ,"_CU.i _1lVOIII.e ba... 10 fo:>z &",,,,,,10-1'

_ -t""$I!. , r .... t1>---"I~ I:>rf\oCO 6 tor

~ ~ <-1,;""'"",,:'. ~'c::.•..,. <~""'"' in v:l4\b or

po._..\1I'.... l

11:1

• 1 00 t<lt nnt J.Io,.. ••

"'2 • 1.Ok tor lecoe<l J.a¥-r.

~ • 1.06 t<>r tb1:r4 11"'., 1<.<1

kt, .. 1.12 to. tOW'th 11'.... ,

t J .. "001\ or .h0lll4er (<Ioll.o., PO' 1~t<l4J",,1 toot).

ror tvo-1&IIa ~"'l

~" " J1:... ro " 3.0 __J. IP I MOO

r"" ]~ • 110 "3.0 12"2000

["') ]• 19.75 Jl 6.0 j} Jl 2000

Il, .. -.1j"",r-llt tllr tb<! .dodIU"""l c~t at the

_rI.Ilf; _lITt ceo

""" _ """ tIlu.r-~ "'''''''l.,. (fa - ,.)

12 " 2000 1.'1 " (~) ,,2to

.,. ."A, .. wlotUl. at _bat>1dKT -.:lllIo... tar .11 _*- .1~

:or 6,1 (teet).

B.l ...4JDUed wld1:h or .'-J.d".. tub••• _ ...lIl:>dnl...

..... proridod (teet)

~ .. S.O

b 41'11.ded -.lU·lr.. ~7'll

", .. con ot • ..:t>4.....tzo ........ tlIldu ..u." -.u...

:IIll¥ (~"3 flU 1""Sib:l1DJl1 ~l.

hr at:>-l.bJl hlat-Pl

"I .. 0.0

rw <Undid ..Ul_LII ... 1I1flbwaJ'.;

~ .. 1.1 (0.015 e6 • c7

)

... eo-to 01 .\I1l4toIw IUlIloer tloUI .1Iou1.lHn (dollo.....

• .. 2 lr 1.1 (0.01) e6

• e,.)TJ .. Id,l ..._t trr tloI _ ~ .ahW....t..-l..o1

ftploeld 19' tloI ._'<In aurflIel ..II be..

(6oJ..1&n par lcq:1to...u..o.1 toot), oDd.

I'!:Ir to__lO.a&~J

".."T1 - 12lrn

12 41rt41d -.&lU-l-...~;

tJ

.. Id,l...'-'t ftIr Ule __ <4 _ .. _torl..o1

1<Id&olll!oft UIoI left1 of UIoI po_1lt _ ..

,,.

",~

;"

.'O

i'O~

.-

."I,

,·<

•~~a"

'eli

"~.".

F<

ii'q;~

"Hd~d

'i~~

't~

i!"'

[i~'"~~~'

I'ill~

,.•

g~.•

":!,'~i!'~~~

",

••",,"

0""

".

~"".,

::.i

....

.~i~~;~;'

+D

.:J

a:i

,ii

rilt

::8

f:Z

!•.?

(li~

"'t'

·.N

:g

l=

a"

l!

..:i

.~

:1lfl:t;j:.~

:;-::"

..,,

'"lo~"I~~~l?

"~".

"..

...

"'i

"·.

'"t

'i"

il!l

~!::

i"'I

Valt

l!,:

~E!l

w:

s~..

r"'~

",,'

.0_

'"

,".'

'••

•"o~

"1~"'"

[.•~~,.,;~

';"!

,~i~I'"'

_.<.i~"

..a

"..

~...~

..e

....,pq~

~d:,

"~;'H

iL

••~~.,!

:,.,.~

.•

~'"!ii;

!i~~

i~it"

~~:

!;i~''J!i

,0':

"•

_",,'

os'

",,'O

[.1

'•

O~~"

,i'

Pii'~

~.~

~~;

iiIi

~~"..

'..

.,

.".,'

ll'~

~i

.","

;..i~'"

aj'S

o..

~ll

t3'"

:1

.",

1;\"

,....

~..fil.'

,!"

:i""l~:

OZ,

"'..

i...

....

....

.0.

..~

.Ii;""'"

...:1

..'"

I"

&lj

....

ll.;

..j

"~

~". •

•

-"'-, ..tar1l>1 000ftW.. '"...,.... -.. ~U....I~

(-i)., at t .... ..- Ih>rtIta 0."., U"",,,·... ""lie 0."., --..,..,"" "".. 0.".. GnIlUl,lor~.. 0."--- -------

"

".'•• tll1d,,,nl 11 ~.O 1".

4.:! • 0 or- ~ ~.o

5. It. c_cted IgreslItlI ""... 1I.1I1Cludt><! 11> til. furible

plln...nt•• od~ tldckl>o!l' ~ ~.o 11 ...,e._,.,. tbr c"""trucUOI>

pury.>lIeB.

43.0 or- ~4.0

6. It. &"1Il.1er 11I1I1I..e 11 .pecltie<t fr<a the <>pt1l=l .el~t<:a.

~t leut • It.o-ill. lJoY"" 11 roq0Un4.

<It. • 0 or- ~ 4.0

7. tlecall" rutt1l>a .,,4 11l0Y1Jlll; of the pll_t .\Id8ee _y ......U_u b1&h 1<e4 .-.petiti""" tor exce$llYe tII1ckDo gt bit\lll1l1<>U1

atxt........ the ...u.- tb1ckne11 gt tbll b1tlll1l><>ul hc. 1.

10.0 1.11.

41

! 10.0

e. !be "xlnp tII1<:kDeu of tile .to.bUbed bile U ..to.W.b-<1 .t

10.0 11>. beelua. ot 1.erll ..rt1cal det=t1OJ>1 t.IIst "Y ....ult

11> th1.I 1IlIe c .......e it ucU.i.,. th1ck1>o!.... or b1t1Jll1<10111 1I1.J:t,.....•

..... ILl""'.~ ~ 10.0

9. AI> o,wer llodt or 20.0 11>. 11 let roo, tba tldek:ne.. ot tillt

.....1IlIlJ!.. aubb!ll. tc c<:atorJl 'I1tl1 pn.....t C"""tru<:t1011 proct1ce 11>

tile Sto.te ot I1>lU.....

la ._ry. the opUaol 4oIs1p or n..:lblll pe_te~ 11

pre<l1c.ted 011 4etoI'IIl.nillB tbllt lIl1~coat C_tlliOt.1oa <>t l.o,.,r tl>1clr._

1'''"111 vb1<:b. _UI:!)' tlIe r ... l .DIlll""t1<:~l CODat.n>l.D1D8 "OD11t101>1. 'ftle

ulecU"", Or ICtlal ill-ploce e::<llltnl<>t1oa coau ellhl<nul tbe ..tt....Ue.l

repn....t:>Uon or the 1'1a:1~ pa~lIt d.ec1p proc.....1Id prort4el

f'w'1:.Iler ,",,~I 1.Il t.bot~ "outrllCUon llO:l...t1'1.

"

=m!lie f'bIol .tep 11> dete1'mD1qr tM optial <!nip or nez1ble

,..-.t leet.101l& l' to obta.1.II. ••oJ.lJti"" to the a.'taa ~l. 'l!>11

.o1uU"" cptl.lllU" t'- otIJ<'letl.... flmcUcm .114 1. Oulljl<:t to tbe let

or COI>ItnWug 81tll3U""., :n.e 4e81gD _el """~_ tor

.oluti..... <IIlI. d1P~1 c"""Pltcra 01&1"6 JOIl'l'Ilo\II IV 11_8'1.

!'be opt1lliu.t101l proc:eu 1.lI pvtl:>.-4 1.11. tIrO It.oSO' Ill. tI>e tirst

phttae, the tollowillll Dille Hpo.....t .......114-. ot tle:dba ll"-m.

e-..ePta ..... optia1u4 by • 11.-1' 1ll"<l&t"-.1l111 .J.aor1tlm.

1. BI:tlJll1l1OU eurta.... ell4 ItlIb1llz.ed 11&".;

2. Il1.... ""'lII '''''flou, .t.bllU.... bill', _lid e~<:ted ewes-toe

bU';

3. Bit'·Il"'.... all,r'1'<lce. ltab1ll&e4 b......DI1 cnllll1aT IQbblae II1tl1.

,,"*,,. tlu'olllb should,," J

•• Bit~ 100000ee. ,t.obW.ed bo", aD\l gl'8l1U18r .~.. vith

SIlMnl"'J

,. !Il.t.s.liO\le al1rhce. nabW~ bose, eaapo.ete<I '&fl"&"-u 11&..,

aad !lX"lIlllIlr eul>b<l.. witll. n,bblll' 1:hrolJ8b. .""',lIl.... ;

6. :BI.tlaill<>U 'lII1'Il"'" ate-bill"", 1>0••, cOIIplcted agrep.t. ""'"

""" cnna1ltr .IIbb.... v1tb. ...-.1D:lj

7. 1lI.t,al...."......tt1c••1Id ee.pu,ted ,,"",pta boo ... ;

8. B1.tnalnOWl "'1'13." ,_etecl 'W"'Pte be.., aDd P'O'DlI1ar

,Ubo." nth .1Ibbo.. thr<>vah IIhoIlJ.clenj .114

9. Blt.-1J:lOOlO .urtloee. C<:rapllcted 'W"'IP" be", eM grauulltr

.al:lbo.. II1tl1. .uhdr811u.

"

Il.:c or tIlaH Il1De~ "CllbimU.... or ,.~ caopoatI:l.te repreunt

811 pou1bl.8 fial.bJ.e pllvoaezrt .,..,teao tor the c...,.e-ecct1oae ritb

ellbbe.. (12

) ell4 toT tbe "",,,a~aeet1_ If1tb nbbo•• erld. e!lbdr'aw

...... botII. a!>oul.d.... (53)' ~ three ........_a or the.. c......"u

aN poaalbl.8 tor tile croaa_aect10llll vttllout ellbbaae (81

) aD<! 1nclude

CCIIIdDaU..... 1, 2, ad 7.

'!he otber pII;a.e or tbe aoJ.I1t1ca 1DYOJ.vea tlle aelect10a or tllat

pe_~Mlta"",~ wbicllmDbU.u tt. totel c..-t of tlle

pa..-t qe_ tor tboo ..1~e4 \lIl.it eoet.a or t. peVD8't _t.r1oo:La.

ft1a t1AoJ. eoJ.utlon repreaer<ta tlwl sJ,obo1 opUaa., aM DO better

pa...-tere. Eacll tlenble pllv......t aoct.1ott tIaltille tIM "'elieD

~ect1v.. tor tile lee.st total """t.

IlP1IIl2l BXAICI'l.I:lI

To ill"''''''t. tbe appllc"UOD of thia 4uip .,o4eJ., t"O tniClll

....-plaa are _lilted fbr tbe <ietil.p of flex1b1e ~"-a. 111 ""cI:l

"".., thec~ output pr<l'I'1.4ee a listing ~ tbe aUpulo;te4 ua1p;

410... alll4 tbe ...terl.eJ. .pecif1cat10Da. Aft... tbeae 4ea1gD par....tua

a .... • _riu4. tbe optt.l aolut10<l. 1a t8bulat"'" 1.. tenM of tile beat

4ee1p teet1011 allll tbe ""l'llired th1_..ea of tile pa-t C~lIU.

To pendt 0 coat_..rr..ctiY...""" e'nI11llUCIf1, tllo ....xl: tvo beat aol.lltiOl1l1

...... 8'"lI8fttod m tbe r_in111li5 d..a1p oe<:t1o.... 'lila.. II.1ter111te

auhopt:1rM1 aOl\\UOIlJI prO'O'14e ... OC!~c ......aure of tboo .M1t10Il111 coort

for 4,..J.aD$ o::otMr tball tM optlao1 lU"osa-a..:U"".

'lbo tint a1t\lllUOII 1.....,lftll It t".,.l&1\e~ I'1tb It priNr)'

cauU"1caUOlI. ~ other aampl.e 18 a foar-a.... 1l1gImo1 with paa_lIt

..t.ex-Ul coata that 4U1'u· fr<lIIl. tboae c~"C n1""", \..II tbe

nrat UluauaUOII. 'ftle rather .1gD1t1c.ut 1..........au 111 fl.e:>::I.bloI

pa~Dt coata a.ro erl400ut IlbIln tb> Itlt_t" auboirtblll aolut1ona 8>'e

eaa;are4 to tbe optlJlo1 aol.llt101lJ1 111 tbe pnce4111C tlf<l 4....1&" UNlPJ.u.

Jleoo1 e~"a .... It<:h1eaed llbaa -=p_rllll 4aal,pa "No ~ta4

to penalt tbe Ilel.e<:t1011 ~ the optlJIo1 ana...... Ttl1. 4aaip .,04,,1

aft<>td3 tbt~ 8Ilg1......r II1th " pract1e&l ...." ...lloti<> 1Ilatb>4 for

the opu...1 "'''ian ~ tl.ertble pa_lIt .""tiona.

,,,It. '" ....t... ......"'<0 .. , ••••• , ......

2.

,,,,,. CO"

-'" " .... ...- ..... ofoO .

.....<0 ..... , ..........

..",_ KO _•• _ ••••••••••••••..." " .

..ott I·'''' ....... - _ .'1<"'" . ....,., , ".

••"".. , """"",<0,

•...,.. .....•• ,••,t" .."ro ..00" ....

".<0 .....•••.......«•. ,•.,."•••

""",« ..''''''' 0< ' K •."....,_ K ..

""'''''' ..'''''....'''0 ",..e'" ..""'-" .•_," ' K ••••••••....."." 'e' " ...... 'Co .

E~Qmple

..... " ...•.... "«.....Il.',....",.,." "'ot• 1'0'. "."'.to ".,

,.•. """•.•. "I'''",. """10'. ",."

to'. """

"'.."......". t ..........n "," ••••••••••".<' _ ....... .. . .,_ ' .

•.....,.'.... , ." .

.0

....,-, _........."....... . .,_.tt........." ....................,..." ....,,""" "-' .......

,." "... , ... ' .,... , ,.. ' ,"" .. "." .... ,..... " .

.."..." .. _.".......".... ,...,...",,,..". _.,......,...... , , ....,,,,,..m • ••.•.•,......" " ............ , ..

,."

,.".'O"... , ,.. , .'.' ,'.f , ." .., .... "... " .

.."..",,, ...,,'.. " .......... ,"01\,,,,",,,, .". ,,,.... '_'.'" _ ...,,,,",.to, ,.....",,,.,, "" ,.",...." "."." .."......". , ..

""Ellomple

·'.u "... , ,.. , "... , "'.' 'C.".............. OJ.

IConl.)

"'.."....,.". t ......, -." "'" ...........-' ...... . .,_ .

""... ",...t.

t .. , ..... ''''... _ ........

•n."..-.... ,,,,,..."•. '00""

30

'''''''-' ,...." .._ _......................"ttl'

,."......'" ,""..,.. ,"'..,.... ,""..,.. ,""..,

......... >t.......

t ....• .... " ••". _.,•

on.. ,""", , ,.".,,,,, ........ ". '«0'"'' ........... ....."

t."

.." ..... , ".. ."" .' .. ' .'.. , .".., ".

""..",,, ...".,.. ",""",.",<00"'''''''' .". MOO" ,.., .

." ...,.,., ,,,,,,,,,,,.,, "" .m, " " .",.....,.. , "

""Example

·."t ..... ' ,.. , .'" , ,' .. ' .

......... >t ... ".

(CallI.)

"'"•• DO " ...." ........... .. , ...

31

... ,to ....-.t , ... . ._."", "......... "........ - ........ ._" ....., ........- - ...._.. . . ......... ..-,... -",.." ..

.• " .... , ..... ",u".... ....

'.M'0.,.........."...,.M,,_.••M•••

.. ._ _...............-- .0.'u .

...,,,.''''''''..,.., ' ..,."' -. , ......"" ",-" _ " .......... " , " .._". ,.., ....."." 'f' " ."." " .

.... ""......"".... "".. "", ,..,'." .".......""<." " ..

.., "''' "",,,. """.... ''''''.... """

Eample 2

""."......... ,.."" ."'CO" "" ,,, .•.•.•..." • ..< _ ...,' .. "1<'"'' .'-' '.. ' .

.." ......."............... , .,. ..

32

.".~, '-'''',,, ...." " .."......... _..

..........,,- .._, ......,., ..... , .o. , ..... , ... . .".n .... " ......

"'''''''''' _..... ,_...... ,

.......,-, ." .."" ....... ' ,.., ......". , ..""

.." ..'.0 .o. , .'" , ."., ,n." .... "".• ,.

"".,.", ,,,,.,,""""" .<0-"'''' ." " .."......... , ..

.."..",,, -",.. " .......... ',",,,.,,,,,,.."......" ,...., ".

,." "'.0 ' ,f. , .'.' , ,".' ' "

.. " ,.... .,•• f ......

Elomple 2 (Cant.)

1. AAlllIl C_tt.. "'" DoIa1p., AAllOO lliteria ~!.<!!. !l!!. DedC!!~ "-acble ...._ Stl'W't....... Aa8.l'1"." "UOC1atJ.OI1 at St8te~ omo1d., 1961.

2. llW.<:k,l'. R., "Ana1yllis &!Ill. Symbeal. or II16b:'BY Plo.......,,,t DellQ:1l,"• fbeai. auhldtted. "" Purd... lkdnuU.y t~ the~ of: "".tvof 8e1e=e 1D tinl ll:asi_rilla, J ...... 1968.

3. Biek.l, L. D., "Btnlet\lftl DeoJ.sD of J'l..n!llft PB_llta 1" Jlort,bCerollDo,· Proc:ee41",s, IatftTDoU.-l Confu.."". OD tbe St.....t ..... lDe"l.p at Mpbolt 1'll_a, lllI1ve...it.Y ot MLclll.&aI1, " .....t 19£>2.

33

•

•

.....u•• _

,,,•i•

,

;ii; ;;;;;;;; ;;••••••••

~••• '!'!'!'!'!'!'!'! '!'!;:z: r::!<::! r:- - -~'!~'! '!'!'!'!'!'!'!'! ~'!

~~~:~~:::,::::!:,- - . . ..1;~;~~;~~;;~~~~;;· _ .•• • • ••:'!:'!'!:'!'!:'!'!'!:'!:'!'!r.::!!:!::!,::r:!,:

:f:'!:'!'!:'!'!:~'!'!:'!i'!'!.... __ ..-.. - .• ¥ ••:~.:••:._.:.:.-

!•

••••,

~;

~~.­••_.

...

•~~ ~~ ~~~ , ~~

• -. •• ~~~

~~ ~~ -.. , ~~• .- .- t~~ '.'. ,. ,. :... , ,., ,. of· ~. -i ;.•, • ,•• •• • •• ••• ,. ,. .. .; !:• . .

~~~~~'!'! ~; '!'!, .•• .... ~ ••.- • • .. • • • .

•

!

•

•,

• •

t, ,,

•, , ,, , ,

, , ,

, •, ,, ,, ,, -, •

; •- ,-

! !

•,,,•,,,,I

-!,,•,

• •, i

•I

;!!!

• •

,,,,:.::f~~.,i.

"0:!o.I,,.-,,-:!:l'."::• d,~i,i

£!••,!•,!,• ;,, ,•• ,•, •

•, • •!,,

~ww¥~¥~w~

mH~~~~~

•••••

.,

.----_ i~'··

ggi

,

,,,,, , ,

• •

•,• ,,, ,! , , ,

, , • ,,,,

, ,.,, 0-

it, !,,,h~H,~~~~~• • ••••,

! ~'" "''''', •, , , • •

!, , ••• ! ,

• • • .• ) i ... ..., ;~:::::

~...- ..., g ::: ., ••

~.: I ••• t" •

! s!~ , tn;ij~

~i;, u·t~':-, "a 'i~':.;}-'

• t,,: ,;;:;1:"i• ,, <'i~!':::!i ~~H:!~

it:.: •. ;;:'::H, -~=.=_.;!;:~;:ii, ...~ ..,__ 0 •••• .. -~.

•,I,•-•

• • , !

,,•,•,r••••,,,•,-.•• •••

" ...i; •••

" •••

~::- '";:~ --- r

! , -,• ••

•,~~... ~;. :

•.. ii-:~~

~Hi~m~"-'j.---gf~=~~i£=======::m~~:;~::,:~::!:;;-.--.....--_._-.--~::.;::~::

:;:;:;:r;:;:;:;:;:-~- ...-..---------..wo•••• o

,••

•i,

•••

: g¥~:.:::~..-..• w.~~

••

•.­••.-.,!•

•,•,•,,,•

1i~==~..----~~:---::~

-•••

•,~•,•

•• ••

••,,,•,•

, ,

,,,•, ,

,,,-

• ,-,,••"

,

•

i __

.- ..~~"~~:~~

::::::::

•,

,,;•,•••••"•,

I: - _1;::.. .. !~~~i~i5':i~=::,:i~;=i!!!!!

::~§§~~~~::i~~~~~!•••• ~~~~.__ .u •••••,•

••

•

,••,'.•"•

: ~-­~ :~::

~n~~g~~,:~~ ....~ .. , ... t.; ~~~_:.:::::

H~~~~~~~~~

""" ... "

••••

~ ~:;~ _I=~ .-- .....~E! ~;'.;;~:;::~~t=:,~~··:~:::::.. ~~..----....,.

--;=;;::~~=~::::::::;;==;;~~~;::::::

,•

,,•

•

••,

•!i••;:, •

•

I !,• ,

, ••• •,

•

•, •

;, ;,

~

•,•

• ••

...­••••

•

~

,,•

! •

•~,•

,,,~i••-- ....--••••,

• ••

•

;,•,,,•

•

-•••,,

• ••

•

•

I!,j

" ,.,•

••••.. :::: .:~'"

1,i~h;~1~ -.-_ ~.-

::~ii!=:!

•

•

••;

•

•

••

•

i

•.­••••••;~

•

,•,

! ,

.~,~,

"H~

!!!!~

~: ! !' .

•

•• ,·• .,• !:J· =;• , ,

•

•,!••••,•

,

,

•••

l!

,

•

•

•

•

i ;•••; ,;, .,

~ .;;:;; ;~=::to' ;~~::;~!:i

• ::~~1~::!!!!!:· ~... ~..-.-.._.g~g::~?~~~~~¥.~~~¥~.W".·_.

•

• , • , , • , -­••~,•,

,

,I,!

"••••••"••'"••

.""

:;:

" ~~l;;;;

•

,

•,,,

,,i,•

­•,;~••;~

i - --, , ,, •;, , ,

,• !-

,-.- •

" ,:I - ,

•., ,• •H , • ,I, • •1:j ·• ,-,.: r- o. • ;._,tii .' , ,

•0- ••• , ••• •• -:-! I ." -- • ,~;~~ ;:;: r"-'- , • -.

!h .-,~!: .. ~j'~I"~ , -.. .- . ~

:1: • !~. ~ .. ~•• •r~!

••r ~~::~:;:: • ,.~:: • ••

• :-.. • I : : .- -:--~--:-_., .. ::" : J:;;;~;:w. ,.-

f!: •• •, • :; 0', •·~n :: • 0 ,

/ f .. : ! I ~i ;.I I ,. •••

., .,

,• •••••:;.!

,

,,

•

••

•

., .! !..•

,••l.U,:::.:.Tl

ii;~:::::t;:1.!:- •Hi~::~et

,,•

,,•,,

"

••

•!i

j•

••

, -

, ,

,•

•, ,,

,,•. --~ ~".

•

,

•-,••[i~~",::

~ i~..,~ .!~: ::;

u.

,

••

•",j,I ,

-.••!

;,,•

,,, •, ,,• ,

••, ,

. ,•- ,..

~r •" i•

I !, , ,

,, ,, ,, H,

••• •~!• •

•••t~ : J

,

, . • ,

-•,!

,! ,., .-~:• ,, , •, =~~:• ;:g.r;

• _.~---

! ,

~•• •, ,

• •• ••

• • !••• •H , ,

••;:; • ,~ •

I i, !, , ,, , , , !• ; .~;:

!~'~i

,• ,• ,

• • ••, •• • ~~;i:~~~,~-~<

_~_ 'w

• • !t!=:~ ! ::~·i:f;::~:::

!~:!:~ ••• --.&---.--.

!,

,•••

, ,•••

•••:::,•

•• !

•I i,, ,, •! •

i;!i ,

• !

li ! Ia • :~•.. • • •I' •• • ~f.. 'I~ ••r: .:_~:~ ":r"~:~Fi =:t no:::::: ":;h:~::!

t l:•••

.. .., ,

,. ,. , .! , .. , ,

• •. ,

,,•

,•,,

•

••

, i,i

iIi

II

!,,

I

,••,

•,;•,•••

ii•,,•

i ,,, , •• i, •,•

,,,, !,'. ",

• ,, , •, ,,i • ii •~:i' •• ,~~~

," •"' ,

,,,

•".h•,,

•..-

,,,•,•,, •

• ,• I-, •-.

,•••,,•,•••-.

"~i!

..~!,.-, , !H

! •••

iIf:

,

•,I

•,'I.-~~

,

,,

,•

•~ i

,,

, .j :,~ !

,,,•

-,!•

ii•••,

, ,, ,., :f, a,

j,•

,•

,•

,,,

,

•,,

••••IiI~

•i, ,

f,• ,• • !¥ .. ' ......

!,•,!

•,•••

.._cuo .... C. II. ... lpooII .,. dIoo .......1......_ ..tq u.o

olF'rldllal .-,. i-ol__ ...U ... ud''-'' ""'c..",,ctntco, ,1_1.. ,.cbf..

~...

"

' ...._en ._. _. D..crlft....

• U .. .....c o£ 1......1 2,4, .....

, '1.2 ~ c_ ..1... of tile ."bI....M

, '7.0 -, I.tUol .... U)' trdflc 10 ....tlt.dh_H...

• '7.0 -, :t...t ... l <iaU, , .... fttc hIloUl 41coctlou

, n.' • Dootp ,."toJ of ,.._t• n.' ft ....t ..c.... of tneb u tu Utc..-, n.' a "~t... of ccMiutlM

.....tLo ta ",,"k.~

0 n.' .... DQlp _11_'~-16 n,.0 n.' .. "~1 """_ • .

" n.' • _at =-001001 .....1c....ULt)'

n u '"U..U<II cOlIn....."...... ,.....

n u "tiMU. .......t ...,Uc_ot,..,

'n_ur._, ._, o.••u,H""

, '1.2 " l/I:lU .... t of bU...t_...rf• .,.. f/foD

, n .,

" vat. <0•• of ot.blH&Mlito.. , In"", '1.2 " lIntt ...ot of <.".,..ceRCI.~..~ ""... $I'too

• n ., '. tlD.tt ....t ~.""lnoub..... , I, n.' " Do.tt .on of _I....""fKD.tit....

• n.' '. tJoU .on of ._uoUll. tlTJl3, n.' " \lDtt .oot of IOUbdUlo,t~. tift

• ,J .2 '. \JIllt .... e of .....rl.. nrfD••<ou:ro., tlloo.

• n.' " _It, of bUlal.........l4f•••• 1blftJ

" n.' " DDuU, of .t.blUod lou••1b/ft3

U n ., " Ilo...U, of ~_••Dd .At.pc....... lb/fe

" 'J.2 '. IlDnol!, of .IIou1dDr ....lK••U.lte