d ecs d.e. · rtpublioue du sËnËgal • t 1 t r e ecole polvtechnique de th!Ès pro jet 0 e. fin...
TRANSCRIPT
---- ---_._-------_._--_ ... _-. .. - .- ..---- -"
RtPUBLIOUE DU SËNËGAL
•
T 1 T R E
ECOLE POLVTECHNIQUE DE TH!ÈS
PRO JET 0 E. FIN D' E T UDES
EN VUE DE L'OBTENTION DU DIPLCME D' INGtNIEÙR DE CCNCEPTION
. _D E CS LG_~_LOJ~j_e.A_BATLE D.E. _
_U=LAlEÀ_U_X_'ù_!_L&..u.........E.I::L-~_E..T_Oj~-bB..t::LE. _
.' ,
.....
AUTEUR
DIRECTEUR
CO-DIRECTEUR
_CJ~tE.\.lil:\_W-Al:l_E_
-_TtlO_t::U~\.s_A.Q_UJ.N~ __
J UL \ CL.Y_._t1.otlliIRD
1~f!'°f\;~ ~x c,-1\.e etu\..fOUl\-. j\..~N''''fu:i.01 <mGY'L
6..in.u..tl'.W\, .!ce 1""ott ) ,JI.on.oèWJL T h0YnCA.6 À't"'-Un- l'à'Wù
Il<Tf'. ~oUI:cem c.~a.mt \'JI:. .6 cc c<Y'VYtcve~e. d.:'4"<mètè~J~
1e .te""", ~l r\K"'~cXm Qcu,û, ,J\.""'èWi\b l: L \-\ cuLa" !JI,
1 ~i.Q", el J"cem .piexre R.cccLu.hsCcL \' 0 o,'r leb La L CC"" 0vI~,,\: La ~ èu:.~l· ~ Llo MI.r&Ylt ci: rM.a. àMfDslh'm.
V\ ~ Syem ex o. e,'fI\ eJV\.;to tVQi\\-- Qu;~L ci.- M. esS l u.\" s Ju.le: 0 ,V.
~ o'O.\-eÎ co) Co - cii n-ct e.u\" he pC'6{.t eX b ~diCCL~ Je{l-Y\
fo.u..-l ~GÜ~~. tOu.s ·\l'\~~\Î~V-.-\.'rs \ol~tf-t.~\'\.\CCifY\1)~· :".':l~.
CO"Y\.r-,o'l"hu.m bi ErA·r~f\'\Se.s .
'["'l'" de I-hMrc.Ce. tOW'> r-e s Qmu if"L ont cIe. pr~sou. Ae. \.o;"c."",+ribLl~ 0- L, clu.'<ihc\c Ct- f'''o~"t .
1L_--,-- --~--------:--~---,-'J
//
/-._..'/
SOM M A\R'E:.
Ce-\k ~~c~~ ~~- Ccr'M-~ 0 ~ c\.l tOMe Jf--Wv~1'v\ÙLcir~"'
.., \»Â c.o1-wJ. ~UJ' ~~ l \M1J' ~Qf'IVIÀ.~~ )l~Jt~ clu- ,;lJ'{;vVt r~~~o-'\'('t f\-t~( rJV\ ok ~~~~cJ ci:,d cLlJb-\À., : T t\ 1\,13 ft COU N\) R j .,s T _ lO L\. \ S
b 1\ 'i( l\ Ç1.. - 'j 0 f F ~\- -2. l Gu \N q-t.Cl R ~
~l»r\.~Qk\.~ ','J.tc,~ô.,~ ~OW\. cV ~o..u. Riv'- ha~ OJv(,(\~ cle. C.Ov\'t-O--cJt
15 0 fVY\."o àc (JVJ ~O- c;h o.u, j\. u..di. V'v ~A cle. 15 rvv'I " fLGlj\.{lo..\1J (J,J 0:~ fL~-'-(- ~ttY' l1.M t ~ -1\/'0J!-t :OJJ.... l'M.:\)-t. OJJ- d.A.l,0fl'<. , . .
L~ co.J CA.A-l J)\-V'Ll-c--b-cJ. Q,è~ ~cù-C 0= t cQd.~ clt ~c tO~lCÙ~
o\li~tM~~ {L~Vl .AMht\Àe~· TMAGES-~D 1(.,t f-F-P-A\"'\E "
.N O'W) OJ..KI'M c~&vn ~t 1Q r 'f'I\- ~ Tf'~c~~ c\.u.. nJ- ~-{J\..\ro~\ ; g-wà.~ t~ jJ-t(JLl~ ~~~ . cyu:vV'. J rv--~Q. cV ~O-M- C~O-.MD ttl't'0Jvt, ~ A Uf~VJJ\,Q. ') Ce. ~ m-O-ub' '~eJ\., 'N\. €. \t ~ oi, t ~ t t~ t.['M \'VI.A
4 ~ 0~~ (~ ,À M--Gv-LCUl Q~ ~ e.CLU. (\Q)J ~Q. :~GI-\M C-aYM~tl'
le. colc..J Glu ,l~~VV\.twt . ÔA b[~ Mwl ~~ .Ôr~ oit- co-«; 10.. IVLo 'î~." {I •-t-Y' (,\,'1\. ~ o...,v)-t ~ 'A t. L 2 '3 " . . .
f CNJ'v \-e.,'<' vY\.J~ "-0\- IY\OU/) ()J.jC'AJ> A..()YV'\.~ à-fj) f\E.lO"N\. 'M OJ'Ac:Lo...-tl (7\M ,0LV1-
J-l ~\u(h. }e.c..kV\l r -J- t~ )\e: chili M ~\-V fAC> t'-CVW\ 'M.O. cle. ct~G-.lM
cÀl ~-tU).. U'l\}~ W-.À- ~or\ i.W-.A J/ t:.'I'\t--~)V\.'~ _
4.7
4.7
11~'~o__--'1
,-',
- 1
,f.~-- ~,oo -------:.--j
~---------------·~----~T
•
Ti\BLE DES \"\A1\ER€S
-- -C\-IA17'1REI TN\R.O\)\JCT\O~·,\/
PAGES
1
'. 1
'. :t-
e-'11
RE CHERc.l-ll DE LA FoRnE .\ll\ 1U:.S.-ERvOI'R t.t DE ~ES DIOENS\ûl'ls .t-5
F0 \" l'Y\. e, R.fY\ ~~O.M
l:J Üe. y- 1"AA 'fi Q;\. if'I\ '~ 6vl fY\. ~-\. (fIN) r"L\,i.. 'M.h\l:ù v: tô c\.t \.0. c..u. Ile.
C"'-cri x ~ di "'J\M.~h...e.s .sQ.~i ri w,\"'J -e.f \l'l f t r\ eu,Y" d.e.. ~o. l.v...~
CRlC\.lL bt:.S \JI\E5SES DE DES\GN
q\.Le.~ ~ u--lh Y\c\\.<i\N) ch sk\.·" \-\ r .l~ ro.iZOVM~~' cU. ~d.Q,M.u.. Urv\.1.o.h,\f-" rt\·'(Q.M~~ A~' c:ll.or~n·\ Q'V\
Lto po..rcvVV\~ \ru ~ cl~r ~ <k.O-M.U ~H:': ~\,.;«-L\.Q
l.vl ~'f'I\.. e-t. <fV\ S c;lQ Y"e ra.rte\\' '"
b~(.nf~M clQ.JJ ~rt1\clf~ L~ d'o-3'\M)~
'\Vl\<- clQ oJ.t. eUté' JI)J.J\A. Ov~~h'M ~M.'\--
l V\h:r·IJ'J.h cl.e, C(J'i\rD..M.Le.
\le.~'(' vvJ.Y\.<N\~'" ~ IM~~ 6.e.. d.~-i~ 0J.o~<.'Lo.l~ ot~ Gunetl
col-wl ~ o.x \S'er\ e.. 11 'î 0.. Phi~
ca..tc.u1 fax' ~ 0JI\.~'\i~
l'' eo\- cle. u-oli. clLCt
~\5
\·j.L··
"U·1 ''2",\ .'1..
'?J \1.'3
?, . ft.LI
.~) ."f Vli- \....U A"1 \ 0 N i) E L fT P~ES...'; \DN D'j N ft ÏI. \ QIJ. é:
P'f'\'Xô\. \'V\ ~C'N'Mr\lo cIJ. Î,,' co..:U 0\\ d-t lo-. \~-l w- cl~~~
t~kV'm~Q;\z.~ ~ fY'~Ô\m -ex~~ fo.V' ~~
-2:5-30
'~<j- ~o
30 - ~1
, .
'?3
~.~3 -J1
n((YV\~ t <lM.o~\tJ\ \ "\1O'M~~ '('~.clÀ.~J SLoI..'r la... e...u-v--t
\)~\tJ< .:nl!'\l1TlON~ DFS·'tf-fOP-.TS 'SUR, Lit JLlPf
rt O'M eM!t I~ c\.,(J ..à eHarT 'Y\ony\Cl\ Nr-Lo. ~Ue ffù,~
,.-CHftPI\RE Y-
5.1
Co.lwJ ~ tQJ\. (.Q.;) s 1Nf~ \'\'~
~w1 dM Q-r \fY\.~ flCLJi~' jJ G~ ~Y\.(~
col-J ~ C(Y"'M(,l,\ww ~~ lftk'h'~
CJ..cJ olM CtJ'î QI) , LV\~'f\~
Ve n ~ lCl,-\:t<M c<;vJ.-v evJ ~ ~k1 -Uvvù b ete HA\Il'C-~
+1'+ l 2.,
1- . 'S'.
1.Lj
iJ·tl"ERïl\t-\A-110\"\ pe~ ttRr\ftTLl.Rts Dt LFt C~V~
GJ..~ cl~ lQ kc:llOV\ eÀv.> CVlU/.)
. ~~ p~c.(L-U{'i\ f)'\,cL.1J\\.~\'I't~
C~uJ .~ C\Rm~ [lQ<h~1 -' .
\J ev\ r' ca-U~ r? 0ùo..Mk ltD éJo.:1 LcV'IÙ'tto
Lt ~J - 4~
~6 - ~:6
4§-
1
, 1 e..1-\A-I(\\Rt::':~I· U\-LCUL bES:'I\?-\V\.fI TURl:Si, DE LA CHE'MiI\N,EE
ET j)E LA DALLE DE FONJ:)4~- 50
( i\" .; \ ' r
Ca.LuJ d» Q, ~C\.~l\"~ ek ln. 'c.~.~ , 1
g, t 1 (Y~d~cc~tl~,. :,' ..
&. ~ '\C~lCJ.Ù_ :.ç\.u OvY' \'Y'.oJ-tAYU ~ Lü.- clQ.\l't· C\X t-OV\.d
.8. LI C<ctcJ.· ~t1è1 0-.'( fR<A.\-uxti:> ~cu\i~'Cl,\\lD .'
. $,fi . , S~~_~'ffiÛ. cl~,.ç,ex.rM~0-.-~e:. ~ :~'è-, W:~:: ')
48-49.( ,
50, 'II ': -- \.) .
,50...-:» .
'ôi'~ ;{ î
, -
St
Co1~ At lo_ c~<tr~ +o~ Q.,ppu\~wi lv..,'( lA. CRiVl'tv'N
Co.. l cu.\ c~~ Cl~ V\I} (V\Jir\ WjV)
col.ev-.-l clvJ .ad VJj
v'iv\\ifa.t~ ()~ vr,(.Lte,yY\'W~
(o..Lu.J.1 ~ o~ci.. w d~ ,+0 r<s;(Ç'f'\
"! ~ '(\ \-\ cct..:t, ffI ~ ~o1A h Mlb k /à-tfl-lÀ lt
C(/V\/\,VrtA~ 'lV\ àu. 'pÜ~
oVv~~~ ~ J\~ wlJ/)
ES f O-LQNV\.V.",J
Cj ,5
\\.
-'\0 1 t
I\.c, ~
10, ,(,,1
10, te ":>
l1.o,l,lJ
iD 1 i. 5
11j6 . LI
\J. ,.D-t.h~L,b'\Mluv\''v\V')
.\) e. h Y' MÀ lA--G0U M ~ ClJrWLdv.~ ~r l.eU.Vlk'J ~v\ loi uJiM ch- lo..1<-CLt l~CC0lJ ~ i1n 'W'
\J~~~ L~~ IV\ ~ -t/) \uL-l9.lM -t\.~J e,~ ck Lu ;~ ctL~\ (" • 0~ ct CH..Y ~\.""'-'i\-U
LC7VL~AJ-t.uv\ J.e.. j\.Q--l~~"".\-
Col-wl J.o..D OJ\~01,\~ ~ L<I.- LoLM"'--t M~ @
c~wJ ~ oX"'V\CJ-,~. cM.- let. LoLG'I\IAJ ffi~@
c.uiul. ~ ÙJY WlCl.k\~ ~"\--Ov~ l txc+re.~ )
Skt\~J~ ~I~b\~ .
61,'..
l6~ -:~~
l.bS
6~ -.t;."l'1(j - ~1j,
'• ..J _ \ -. 1",~
r\ ! 1 I~ ~ 1. \( ; ~:,
_ . -:."\ . ~ ,- - . .... ..
12..
~'~ ,''L
,\ '\',
"v (v\~~ e-olLèM, O-LT~,"~+~C('~ l~\~~~~. ~S \~ rt\+t ~~~:~~l- T 2.
11"0--1/\ 5 vY'ÀMI. CM ~ \-o'Çces ci ~o... ~o.-,s-e c\.Q ~o ·kw.\. 'T ':l. _ LI . , l cl \, Il' .
,c, Kf\'\P,\TR..E XlI
, 1• 1 \' '.1 .' ..«, ~ ,\'1 , '. r \ , \ " \
, ,
'" \. .:...>
l'
" ,
~-t'i.u..\\-u.t~ d.CMI'\~ ~a.'" le. ~o~~J-~\ t>-i'~~I\E i-~-tl.\
R~ .)\l.J\\·Qt,s ,c\ft\'J\'v, f0' \ ~ \0 ~l c.tl0~ L 1\ fT G~ 5 !3 J) tS-10i-
\\0 6-.è-.\.~ ~Q.\-\Ai 'f'f\cÙ~~ ~ \o~u:'L\ f\ bO~S -1,08
?()..~\. Zif G\.). \,-~t l Fo-o.x ~o. ~'K'I'<\ cV ln M \j 11 "1" 0\" \..\ .: \.
So\.,utlO'<\!'; ëiQ?fOl'ttT S\A.V' lC\ fD~~t ch' (Cl. ~Llp-e !\~~
If--,-- ~ __L
• t ',1
~.l;~TE Dt.S,SCHEM'A~~.E\ GRhP\-\-\\JUES. '\ \ \
...' -...'
:..~
~. '--
. .., . '1
S'CHE\\11 S~' ~,~~~~Q d-~ h'(Y'tÙ.~~o.~ i~ ~clcLt(J\I\D1
~Sc.l-\HUT Sz. ,.~ IlCc:G.te 'fl\.Q~[Y'A.~~~(:~' ~1t=R.'f?rnl "1
SCf-\E. ft1\- 3 ~ , rt 0 (lite. ~û.H\ é. \l'f\ Q te~ u,~ ~ \ ~ O'l cÀ e\ l' t1PrG ES r~ 1)
SC\-\"e,I\\t S G \1. 0d:e.\e. %CLt""'~m(}J:ir dR La~ùle,\ A-DOS.s
G f<..l\-'Y\-1I Ql\t5
(;" ;:. A~\}".b~(,'Ml(,\A-\ ~~. lu- c\M+Y\'ou.\~Cl'1\ ~~ \J\~~ c\.e.. \i'-lQv\.;t ~c\)è_ ?o-.~\t'r GU\\.Bél fOW\ ~(}.. J\.toc(\V\ ch TA-{1~"COlA.I'\s:>1t-
',1 " .
, ,
.,
" 1 1
)
" \.. '.
\\
1-~
'+:t-
... ~{JJ
TNT RD D \JCTION
, .LI: V {Jv\~ CCJt'I\·1'I\. ~ llU> CJ-M-~{JJ C ~ cv.~ c.J~,(,'M-Ov-t. F -eN\-~~~ d.vl '1
, /-lo~ci_tc>-:\i.QWJ dl~~~ (tYYl(1VV\~ }t~c6J;)0Wv~ J ~JJ~~ ~~~~uP-t)
. qL~t ~~ ~~clrteÙ.t ~\~~CL-u.\J~ervJ' ~~ c.~ t-e J-~ ~ (J.--wl 'oh- \À.-\..~'1~~ d.~ OvUy\..CL~ • '
J- II s~€.3CL~ JQ NltU<J{ d. t ~t ~ e-<lf o--d-ot ~Je ~et1.ô o\ll 'c\i~~_Jl ~(ffiY\QNv\~t d.~ e-uUJLCLd'~ ~ t- d..~ 1) éLck.~ le- '33-1 '3 l'W'-! JO • .
~t\.t'ru-1;~~ ~ ~t~ c.~cULe f-OJ\- b ~e-()JJJ)t clL Lffi~~ 0CV\,t ~0J t) ~po~~ dl~L~~€A- 1~ ffL~ ~~~J~ ci C<Q..U/}c
ete. ~GL j'l~ey,(JY\ ~ )/<lJe.. mèr-W\..oJ clt lQ r r'é\Mc.e.. ,
li 0 "o~e..c.tt~ 1"'-~eA cU c.e.t\e ~kc.l~ ~t cl~ ~n~~ œ,\J ~ Off\-0x.,\Y'A-o..
ÜCIV\ q-ui ~~ )JJV\ f~ ~~-l~ ~ c)clli C\JVI-t- ~'a1~~clt t6.. ;d:M~~k t..W\ ~ M~~ ete.~ 'Cv, ~ ~ 0rwvVN- cLcl~ G u M. \3E L,) f'Ffi R.so 1'4. IiI 1 Go DlJR.lC\-1 -e..t- F-RE C).\ El \
C~ ~\JJ.ItV'M.Wv~ ,ô~CN\-t /J~ 0- ~ ;t%'"L cle. 0-JLch~ LteAr X1-)t'o-VJ\-,;'\-Y'~, la- lcrL 10,. 4'\p~ , (ULt~CLte. ;
, Le.. d-~~e. ~t.i1J~ dt -V Üv-~~ to-t c\.e JM )JJV\_~ Uf'Mf ClJ'L-cW u'<\
EM\n., lV)~~~~ 1V\.o ctuJt~ fOJ\-. ~O- M~ ).~ro~ ok ') 3) ~ %1~ J, (00 ,1 /
c~ cl~ la- M.~eJO-t cru-' CI\/\. O.JJJ'Lo- J\..e.t.Î.\.Q.I'IvüMJ\ ~~.
V""-t.le-~~ é.<l'M..YClJ\.JMP(iY\ 1ô~0- ~oit~ li h-()...~ ~e "U5~CI~t.<M
G\\ ÀAN\ ch~\;~w..L JI €-C\)A.- QI,)..AJV\{.. cu{ Q~tt cle.. ~ 5 OflVt'3 J-"IG~cr:vr leL
côte" ~'~Q..àLm '. -vs t, Q ,+ -15 IW\ l G N \
1
lL--------..,....-------J
I----------....:....-..----------:.-------r· \~
RF n-\ f R C\--\ E. DEL 8= FOR ~\ E DU R S SE RV 0 \R f l ùE SE.ç DinES\oNs
a. t FOR rH: E t\ PU 1'\ _
Le cl-cm: 1< d. e. ~"Y' \'Y\ eSty-o. ~IM-'c..lê f CI.V' le. ~ ~'.A J1{'co Y\ (\'w\t'~ cL «..t b~f(1\l)
LDV"> Jo... lo. c..G'V\.àfV-t..tÎ.Q\II ..e..-t po..r- \0... 'rtc~e.,y:-(,\u cl l
W'N. tG r('I\J ri..fÎ'o Ci~ rn l~Le.. 'Me.JLeJvl\"t fon;lole.. f"LA'r ~He'V\..vLe..'r" l'e.Ho'ï\- clu v-e..v..,f - \ l .p r , \L_~ 1\ ~~c5\ O'~ v: .....VA ~ fùY 'IV\ ~ .QM \)L~ C-I. v- CAA- cv\lr l'\ DU-v- c..~ tQ.I \"'{,. ('{\~ o...\; UVV.,J l
fO\A'V ~ c::l-~)<. lo..À.~Q'V'J:l ~W\io.N\\-t1 " . _ 1
A 0 0 lu..W\.Q. ~\- 0:: ho.M.~W.X cl<MVI.~ J d. (!VI..c ~ ~ ()J('~ u. 0:. f CQJV\ SI J. CM VI~ 1
l (- \ \ \ I~ \:llnVl le\. pLw-> ç-~bL-e c.of'rU:lpfV\..o\'{'-(,l o...u. ,e..!e'îlJ'ih Yt. cu.. V e. 1. c ?r-t-w, ~_:.r\'r o.~ l "'" \ 1
.q... .Le. Y"'\""yV:; (Q'\.l'tt-W'- •
Or le. plriVV\~eJ'rc A1v.M. cCÀ..r-r~ J.e.. cSU"Y' ~o..lQ. S ~\-.~ ~ ~ 4- '{S 1
Celu; bl VJV\ c.er-cJt eJl\- ~/-=. ~ ~lTS =- 3)5i- \15 ..Ce(~ dl VJV\ '( e. (J OVV\~\ t clt '-6\-~ s 0-. eA- b:::: \< CA. (A.v'H. ~ >1.
elt·, ~'I~ .2 U<-,.1.J~ ... , \fS .; '6 \fS
""L '3 ~
4)l) ~,Gl s.oc
ô. ~O- pY'tSl\<!'<\\ h~G\~os~o--h~ clud't~Li.brf.- J..~ pY'€-~J"OVV) 'ro--dicLl~
Le...s 're..H.:r \J 0 \ yS s (Mt- ,8o-u..,vv{\h
Li qw.clQ. ccrVY\-~u., (Cl -H 6-~'1t
L\ 'l\.i+0 -r-'M.Q.j) -e..o~ Uv'" Cty-- t ~e .
\JIY\ y ~ H'r \Je i r C. \ \"w-~Ov\ 'f'{ YU' Se.r Q SOLI.. VV\;~ ~I ~ UJVI t ~~o r- t \'\ O'f \Y\.w\
etl -h-o..c.:t\ M • ~ ~ t -tt>~ LCl ~Y' es ~ l C"v\ U-V\': ~o 'f" l'YI: { Ve. ~ ~o y- t- f'{) OV'''(V\oJ s~'~C\.',F?cl c\ \f4S' \r,::- .
:::?: 'f'I\. QM -= ~ ~ := il13 V 5 -) F:::: () ) S 55 P'{S .
DOJW) vr« 'lést.'f" \lOt ..... c.os'r~ c\.e.. c..~~t o: ~ \f3 l('efh~v-~ (Y\<J ,(,MoÀr'f5
'2...
Ce- '\Ls~H"C\.r ~t Li~e>~-M~vJ f~ f~t~'t ~-t ' d--Wv\.ô \e. '-tl..D Jv..re!se,-\I'\Jai'f c-kcu,\Q-''r~ 'tY\./J--UJ fl1..\ ûY\~e La. ~Ocy-cn: S~y-C\ ~<l'U.~H . .;: L\f\I\
lM,'?OY-lr~\- /YYla'MIY'tv1- Je. HVv~({Y\ ~o (M.ç. ~ ~~ -= -f1~ ~ ~ à~YVLOJA_. Ae. '('cVJ- b Q. OJJ,-CGIA f r~' d.~ bt~ (M cl- J.< tLù.t '{' .
. t=- ~ '(',(}v\.n·"" ~\- (fV\ 0\)-\ t ~ l1.M, .~. \,~, X"'-t ~~I["'-\l °\\- cO-.Y'I'rt' -vlT b lèQJA.-c<rvv,\
pb c.~~e..~x '~~ (j'A, b~\-M Cl(A1 VV\ a..«t'f) QM co'HV' ()...~ ll'~'r't'm.-~
o\.~ '\~O/~ ?~ {~t.\lt) ~~'.~ ~~~c.~0Jl "
~Q'r ~~~y\;~ ~~ \?At- Ü,r.ClJl<fV\'I\'~\ cl~ Ch~V--Lh~Y- f0lJ..r VJ'rt y-·ùf.Y"'\f0 IrLI..'\\ t ta 'f 'M.:tL o.o,t'f'e.. ~..Qe. G \ \ UA~ CU Ç-- -e-, \ 01\.Me. L!PNS~0-4x-o.-'\t lM\\""·W0\'+O"M1-e. vot- ctHe. cAl:. llR' ol~ 'M.-etN'H [{VI f'NLfÀ."A.,,"Wl
€N\ ~lAA !\?At" 0.wk:e. fO}r \-('fI' C-~.~~ ~. ,cle- s! ~9'{'M.at- Q\A JI.
Le-:\Te.' ~~\-o'\ l"/\.o..\-\~ cL~"o ~I-rt .r-e:clwJe ~\,~t~Q'f(dM.f 'Pc).v\'V" ~Q. ~
y-~ St,-r \J () \ r' îQt'-c\-t. S~ ~ CkMt\. ~~ s C\I ~~ cl~l~ ,
fo..'r -e..~.trwv~\.t \)M Y-{,Kr-\[-~i'(' C-\"'LU-lo...\~ c\.~ clL~t-re. d clMt llo.ci{'r
à-et! Ce.'\e-u, ~c),.N-eU.l~~ D.. QM.e. c.<fV\-~a.:\'(\~e ~. [Cl1\fVLr~e+~~'le..L4. J.y. CLt:~ rm
e.~~\Y'~L d.Lt. b~~) Q UJ'U. cu..Lr ùV\,~C!v\ NI ~ LOv'JVIiK-e. dt
t d. -= 0\ ~ ta.::: rc« 0 t-~à.' ~ ~o..\ C: (Ali r).Q. t \CLCÜ.,y- ..
:\a;,~ DEIC: P-DINATIQN DE:. DIMEN SION 5 PRtlIMIl'\/J\RtS Dr LA CV,"iE
fcru..~ cLHe-Y-M.-L';\~ -tCL -ho..u.tQUY ~{::: V A50 -:.. 3 5""",
11' 0.'2. Ïi)\ (T-/46S? )'10"" ~ OUA)-~t ccà-~ ut\- t- t..~ !;
cil' cv:.k à.'t~QbY"'Y'I\.U.~~ clM~ fC\Y" fov-\lculcSQ ':- -R -::. (J/4bo d1 ~ ,), cJJoi)( cleo c\J'Q,IMQ\çVl s.v·V:·ri.w.r- !t \'f-,·\-e'cie\t'1__ de ICI (\IIJi
~0 ~y' h cL..0.."('\.~ tY'€.. 'ntll'; €).A,Y' dY\ r~t- fi' elv"\ r e, j) '\ -::. 312, Sf'M
la.. lcu,\,\w.y \J.\yt; -to k l'(V\..v,vUJ-- c.le.- -t1 i:.-CUA.. JÔ.vJ) ~\ ~ ~~_ L<JU..v~.:(ky-~
t<:l'rO-H"o~\''j'/\e'~po"r to-=. 01i.X.\),\= lll1.. x ~,9vs.::. O/39.SIYV\
o-, p'i'e V\C\ . ta =- 013.!f'(V
Nc \-'î~ C-0--lJ't 0.. VN\e. foY' N\~ trOV'- C(N\ i qu.e .
Ov-. u--tt\.ùe.v-C\. ~~ toY""'~~~ ch. FCJY\ \1 0..clo So.. lbL\t:RR\M T4) P0I..\.V' c\.~hr'fY\.iV\.~V'0: ?'Î~ 0 I~ \.eJ) 6.l M eYl 8\<l'M cu.. \.ç~ C»-lrC
~'IY\.e. cV) \-o'f'{Y\-\~\~ CJYI~ ~tt d.~d\T~. pou.r \..Vl "f'Ù~"V-O\''r) ~\iY\d'îl.qu...e-~ an +-exo. li o..vrorbKi.rno.·h'ô'A &\..'-~\JOJII\~ e C<M.c..(.y 'f\.o..Y\.~ Le.. c:..o,\.c..\)..~ cw.
v0 lI..\.'N\ Q.. \J cle.. l 0.- CL."v-t rrovv C on l ct l.le. . ,
Le Vo\,u.VV\t c\.e. ~o. CLLv--t tI"OV'(J1Y\.-L~l)..e <2.-S~ S~b\e.\"(\~r -e:~Q\ aJ.J\ \fOkl'Y\.Q.
dw. ~\i \'\~n m 0 ~tV\ c\.e. Ct\\ e Y'f\~ 'i'!\.e ()..lue. l e. 1~~ cl c\. \rt Le.. ~ \..W 0\ 'rt. ~.Ox
L, "M.~'('/\..\l ~a.M-~~y qtA.e lA. CLL~ el ~'-d()JV\\- ?C ~y- ~i.Q'M.~~ L~ c\AOv'Mt~'ffi.~ v\.e.. le>- w'lt) ..
\j (O-f~ FC5't\\~Cl~ o~ CA. ~~ ~CA-VV\.~JrL \ .....wr\~y-
~.A.l ~U. \\-ch- ~ ffi? -:: c\ -:: -1/ 405'3{V -== c\i.~h-eff<\.~ c\..e.. la..~ .
'\{ ',I\J ~'w."M1- k ~e..o...u. !)PA fVv'.."J::. '" 5o "f(I3
=='::> d' -:= 1, y 05 "'f15o =. i-, 4 6S f'M
~'1\.cVi~ OM.~ le.- clc Q lM.-e.- ~f't n 6\M
.à,~ t <LOJ-}.. cÀ. ÙJ.N\ \e... 'rt.\.-V\.~ :
L ..
0.M-( lo.. ~C),M.~UA..r- ~e, \..0.. u ..urt =- l =- ?, 15 + CJ,1 == 3) ~ fYV\
le ~OJ'M-~\-r~ ~u..~z'r\~ \)~ .c4..\..o... c....ù.\Tt..u:.\- -:Mn' 0: fGl.'tt.A clt.lC\.Y.el~OYI
, \ \[ \T t ( D\ -+l>t...D1 -\- b~)'ilW.\J'JJ'i'\~ ~ -:::. n~-= 3,8N'1\ \J=1'50;: 'b",\-:::: \2..5f'M ="> t>o't-= -iO)4iW\..
N,O"VJ). c~cr\ nüsCN\b UJI\.~ c(j\,\.\rtI\;\-v.-re. \;O'VJ) F-or~ ~ cLa.\l{ ~La.-~e.. cus-e..,lJM..t .tfoiÇ<l-~' c\.e. .tOO M'NI ..
La ~M.cn cl.t lGl. UM.t-Q. -Q..,\-'- c.k~Q C- ~ er«ù 'fi~e 'u\-, tt x.l ~ 0. '"s 0 {)y\ M
P0 u,r l Q c.h. efM,1. 'f'.~ "0-U"\M h:- xC'1I\tl S aY', {f o..À <S ,HU..\ '1 ë:. 1.5 0 l'w\.~ f ()V" y-
i i\f\~'{' \eJ) \-lM.~ttl, li ~roÀ çl-~\"" ~ '('fA.(j\.\..t'r Vl~ ~'a~ cl 4001\('l\.'M. e... \-
Le.. c..e.-~';\b~ Cl. }-l-'4\ol. S~t..tLCM. ~e.. b 00 ><. soo ('f!t\'M,7...
h,Il.'. '. \.__.. ' l,n ,U". " '
la.. se..cJ..[,~ cl~ ?C>~\:...OJA.X :%t. ~>de... (i ";>0Clx: SOO 1mYY\.'L
~ ZM\'('~~ 5- ::, 50)( S Cl CJ NY\;;;LC\ -l(U.A.t e.A.\'1 ehL c,t ~\ e...CJj.A .QA~ clL "5 lW\.
6
cl'6..f -
oII ((\::. m Cl m \ne cl 10 6s -e.y- V CI +t G'f\.O
0::),';:>. \JD.\t,ll."- d'l,Y\e obse.rva.t~1N\ 'X: : 1Y\0'(l€.Y\V\e ch L'ic~a.V\ttl(7l\
Si Ll ~/Cl~~ t dl
\.lV\.e. ?Of I_~ta..~l en Le. ~ C~ '10. Y'I\~ \r e. e."J; SC> LI.. v e. V\\ \Î D~d ..1L •
lo. 'ML~~U-1\.e es~ ~o. vo-'~tl..l'( X qu.~ Cl.lCA ·h~ql.l.:~_Y\Le DL!-' p:robC\.biL\\-i·fo.'fl\\~ !'M.~x.\'Mc..~e_
~"l 9~\.les 1'10\\0'0_5 c\e st-Cl.l1s\iqu:!
LI éC~'1c\Y\TI\\()n cO'(Y\pl"tnc\ trou I-là~e.s d'iyJorffiC\\i\J'i\ 9-lle. mous cl~crlvCV\s
0..\j e. L c\. es f 0. 'r o, 1'\'\ e. rns S \-CI. ~ s ~ C\ '-le S ,
Ces ho'\g, t~~e.s c\'iy\ÇorrnaÎlOi'is SChÎ+ lo. hnAcu'\ce ce.\'\h-o..Le. iL", d'Jpersio'Y'
ch li t th OJ'<\ \1\.\0'1\ -e.t ~v- M?~Y\ cl C\.Vlt~ d Cl, ~tv\ \i. t.\.~1:. e.N1.tn \t,.) ~ltlY\e:v1s de LI i"L~ClY11i1lo\ol.
}"i,\ les ~Q'îC\\Y\-e.hes de tenJCl..V1.C{, ce.y,A-ro..le
l~ p'I€ Y\'\\ ~ r poX' Ct \"1\i h-€.. &e.. teM c\ Q.Y\.l i. Le yJ'("O-Le .Q;jt le\. vYlO ~,t V\ YI t. o.'r\ t~yY\ al' _11
ql'-~ o u, te mOVYI.e.V\.f d'o'î~re. /L ~ -=.1 > ;x,/'(\ 1 ..L
3 t1",'l;~ les fCl.ro.met,es c\~ c\iS?eTs,\DtI1
Ils indI9\'1.e.Y\T SI ~~ obse..rvc,\\O'NJ j0'l\.t. tOI.À.~~ ~rDLlf€..e-s fY'èD 6.e.s vO.\€.lWS
c\e s, ~ O,Y' C' '«1. e- ~'('e.s cl. e. te-n ~ Q y\ l{ ce.'(\.h-o..le.. .0 u s i e..Ù t'> .s G'Y\t rt? 0.'r-Tu:_s .s \..LV'
llY\ t . ~o.'ri\~e. d,e.. lI'o-.~e..I..l'r' s' lQY'~e. ..
~ \t.L '1:. i e..'-lr S p0. 'r o.W\ t tf'e..s ~ Ll..S ~i h l(Mt l Ct c\i..s. re. YS i0 YI JJ LVfl e:- L~ 0. Y\-ll Il G'i\
L'\nh'rvO-~l~ \-o\-a..\, At l({cto.Y\\i\\OY\ e..s1-- 'J:Y\-..(>..)( - Xy"v\'\V\
Le>-. \j 0-n 01'1\. ce. cl e. li t'L~ CÀ )\iJl <J'<\ 52. €;:;t-_
.~
. \ t s~ \V\~ tl ~i ~o I.À Î la.. \l 0..no,VI.C. 't
Ce..\~ cÀt. ~1~c.QI'\- - f~pe.. c\.Q. le..
. 'l\ .
L'1.
d...e. \~ pc fLl..l u.1\ (iYI ~\-
po p'-I..LD,tL an e,o t \J J
. 1
l' é..\1 0~tl (l\'\ àE- ~a- \fihss~
c\ 1 0...& \A.S ~t-r \).N\ e. o\,l.d~ bv.. _
\e. c.oe.N\c.\.'IJ{\~ c\~ VUrio..\LG'J) ~\ ~~ro..?po'(''ï ~'(\tn. Llic.(n+_+-~?I:. ~tLo....
YYl0'ô~Y\'i\t ~ Cv = %.. DU 'YX
LI Cl- S ~ vn ~:rÎie. 6..e. LCI.. ct istri b\).:\\ ~ O.AA.to LIcY- A~ \..0.. yY\ 0 \j t.Y\I'H. pt.ul ~ h-eqI.U~'i\. ti h~tfo..'f \..~ r- Ct f fI) Y'+ Qd, (Y\ tY'l·h 0 Y\'île1 ~\À. troù,i ~yy\~ '{Y\O rntN\ t
c.lU c.u.b ~ ch l' {(QI" ~ - ~~?t j c'e Y' 0. ~ po rt tD ~ 0. \' \' ~J~ Le e.f~i tLVoA~ J..1o..S~m.fh<e,1 1'\
CC\.::: L in ~ (x.{ ~X )3 J[ '1 i (1:. _ x.t 13
/2-IY\ -1 . ....
,~.\,\), \ ts yo.ro.rne.+ns c\.e..' 6i?~bC~QnCX ~~Ç\~\.tY\te.llt
Cu f\ÀY'o.mQ:h--e~ tx~ri'Me..vVT lQ d.lpetnclo.-Y\.c...~ -eMtV't.\)J'(\ l..ve..Y\ e-m-eV\t e.J- LVI"
Q,I.\,trt c b .'H.rV ~ ~ 0 ~ St y- IfQi[GY\)) -ttY\ a.\"''t'\, ~1"e. C'L\. Q V tt WVI. c~~ lai (\e f~ J
l-e ~~u.s Co\'\vw. c\..t. c.~ iOv,(,CL'M~+~~S 0Jr ll6.v.t o c.o·vo"n·Qy\C~ d'o'('c\rt t.c~ = -~ L (:x.~ - x. ) (~A+~ - X )
t<\-~ i
Le Y--o..~?Or1 d.e. l' Ov~t c Co VC\ 'li Ov'{\ Le. C~ .s L\.'f l~Le- co e, ~t1 c(w~ dl buh (0 nLlQh ()'l\ d(0 rc\re. fz.~ 11'~'1 le g ta ,",c\\ O'f\ s c\e- V~p9 rh hD~
~D \J-'f 0..~ t-~i r-e \ e \ \ ~ 'ri 0Me. Y\ ~ t '(' Db0.~ i li .t~e LL ~ Q
c\u... \ro{\t 'ho\).! us~nC"'l'\b CIiYV\VVct €.!'v\ h~.dr()Lc 'tt'e
ti U'-r\ 0 lÀ \Jv'<\ e, ~ (fi'\. c.1:Î.. 11"1\ cl~ 1 ~Po, Y" t.h6'1'\ ,
i, c.~oix J'L\,Yle 1CY1.G\ioY'\ c~e- Î~o..rtltlcN\ +\~T c~?k At d.~LJv( ~~?~S ~ecl"ih.\u '. \e.s cri·Ftres f~'2SlqU.~ (tOY\tra..~\-e.s iVV\?oJ~eJ) ~lAY-- Le. ?"'-~y\'oy')\ë_
'Y\t X>oî e.1- ~es c:rl~~Y"t5 S·h,..JL~tl·ql.les LCCN\tt-C\.\nh!> ·1'rI\f0.s:~-t1l f'CÀ.î
l~ co..rCl.c-t-t'dst\\l.ltil Ae llt(~Qy\\~\~~).
~ ,,1 De5 c '\\? \\ \NI ç\ R6 ?'I\ nCl ?aJ e.tI lois dl CÀ. ~1>.5 fe.. VY\\,;V\t
l~ l a\4 lN\Ù" ..\u S ?O\,\''r De~ ust ex' \tô c~ l s \-r \b\,t tl 0Y\n s ~Q\ i ~::\ i ~t-~~ s c\ \ WV\ ~ \:h0.YI _
\-\l~O'A S<1Y\f ry\1l'«\ br~s~, \w ~l0-D y~\ f\~,~v...~~~ \ DCiY\.\- c:e.\~~ qui ~cr'I\\\'(\rvr \J ~'(\ \ r ?UÀ c\.t ?«r-o, YV\ ~ \v-eA h.l~ ~ ql.A.~"- \- 0- \ m à.~ Gl'6RA1 _ GAL ION
- le.. \;n cie. GO 0 DR \C\-\--k Lm. d.~ ?E ARSO\,\ DL
- Lü- lo-t c\.~ GUf"\ \j EL
- LCk \ o-t c~e.. t= Rt. CHE 1"
lo- \()Ï. c\e G \ 13 ~AI - GAL \ 0 N
Lo-'lGi 6.e.. G\BRAT -GALTON ~r procle.. d.t \.0. lcr\ Y\orYY\\CL~e, OL,L
lo-\ A.e. GAUSS) 0: ~(e.>-.?'feSSiOh d.e..l~ \/o.r\o..ble prt3.
l) tx,p'Îes.siol"l c\ t .s 0- tG'f\.c..t cm c~e. Y'e'. po.'rh t\\ml:l)t '-0.. 5 IJ.-\.\)~€. •
'1 ) u 2F ~'î -.co 'fiW ~d-~ ) (lu
-00
Oc\!, e c, L.\. ::- 0..~o ~ Cv -Vo) + b ::. \l Cl'ft' Cl\; ~Q I~ clL\,J- e .l '
bo..'f\.!. C.t,:\1t e)l?r-~s'ÎQh clt )..,l il O--~PQ'fOc-\.t- hoi! pa,(QN\ttr~ d'c>-~us.~e..n,~t-~_-\ ,le.,~QV-Q'M."i h-~ '{ Cl ~ q 'Ji ~Wv\- ~~ C-Q~UJ-tt. f C\'r lC\. YI'\.~J~o d.t c\. e.6 'f'{\~ tJV\~0-\\1.. 'r!\~fua6-.~ sla...nuJ..e. SU,:ï l~ rnOvY\~'i\t:; dl o'rc\V'~ '2. ~\- 3 J,
~ 0.. r.: IJ~::: ( \j - \je î~-L\:, \r~ +3 (\J-Vo)~
l' , '1). () 0-y- m ~ thClC~~ 0.'('1:\. p~ ct '-\.e.Ü'Y\ t,'{ o.\...u .. ~o' o., Q V-O)l~ 'ji\CA.\.Î.~':l StÀLL~.:Jl \~f\ 0 \' ' , 0 \, ,
, ~I ( n \ ~~t.,,- à.c:. f'~ -{JY\ V~~o o..o~",,~e: '~C'1 ~\ \:x fNssi ()<\ Cl _ ci.esSl\b,~ 'U \)\ \} Ch:'i\ \ l €. ~ lA. CI.lI.> crYI ClU. ~
-l \'. otp~p,,,~ 0.. -e.r b~ L.V) fo.'1C";ï{\~ITt.D (\ D-~"\." v"'v'" ' _
\'- ê~ c\~\t,Y\')\y\~s ~~ c:\.w)t ('MCkY\te,l-es.i \A ~ t.\A."t,;<\ 1 ( , \ '
1') d:. \\ W. c\~ 6-~ ~~QOv~(JY\D d..~ o~t~ c~w \'Y\ o--M,e,\I\t
Cl
' ..
6:= 1,151?)_ Ovloo(v~vo)Q,
~\- b = -Q~ ~o~ (Vi -Va)
N
~,L.7.. La. lDi de GOO\JR\CH
Ct,\\~ \()\ fo..~\- ?C\d~e. cL~ ~V'ou-fe. cle. ~o-i.s €.?\fOY\\:MV~~\.~7)~V\~Y-C\.\.t.s~~,E.\~~ <?Llt c~LtiY\,lh~ PO-'I lCl ÇrN1C.:\.l(SY\ c\t \~p(n·ht\.crY\ .
F ~ \j ) == i _ e- À l y -Va) 1/1Y1.
Ce.\\t. ~cr\. t~t iV\hiH'i\\X- ~ ~Q'fCÀ.y,,\~~{A C\I.U. SDY\.t : f!...) Va ~.J' IY\..
- Co..\.. CA.L~ c\. t- s ? C\'r' 0.. yY\ e: ~e.Dle Y'f\(JYV\Vi\\ ·U.N\\-r~ cVorc\r-lè 3 ~'r~riLLW+_'~€.- If ~rm.\-~~h\f\'Y\\Y\~-€JJ o..-pCNAiY'
~ t6 0eŒ'l\ '1\ ~~ Ü\'\..c\ll~. \~ c...o...\. Wvl d.~ \.' ex u r e.ss l O'n cp ('V\) -::: ...-L\3 \'0 €.-Y'm lèlt. 1 ~3
d. e.. cléh.r \'Y\Î Y\ tr IV\.-. ?D \). y- ce. t-CA', Y'€. 011 u-\).lcs e. l0.. ~Q\ le. s amv« 0...\ 1(' t
clt lCl. ~(,tL6Y\ Cfl'Y\.\ e.\-·Q~ll~ ci ~o.A\.. de. L' e.x.? reSs,'lan :
. 'il") -= (~ '- ['l ('1 ~ r, - r, 3 - 31.' l1. . ~ -'2. -\
o..\Jtt \tD ;'(\H~'f'ü..\~· t-\.\.\t'f'i ~)I\V\Q..~ C\.lè .se..c.CfY\t~ Qft~iu..", L 2.. -1"ç -=- rC~Jr'\) ~:: l' (,lN\-r1) el' G _ r (3'Y\ t1)
Lo. ~(N\.t..\~1f'<\ <fl'Y\) ..v:J'ï- c\tN\'I\~~ pa.'f" \.e. \-o..bk~ co.: _ à.essolJ.~
s~ c.u\CU-~ tA"\ OJJ.- WI ~ ~ eN>. 0\ Q.6
-~,\r
V~. -ç~d- A :::
;j,a
l<e..l~"\.LM') "~- --
.:ttY\
N, ~ Plf>r"Vl Q"~\Y" c.1À.~tA-~~~ N\ (JY\ j:l~~ uJ UA~tr l~ i\'J~'ôv-C/.\~ cl' Eu~\:'r0:: LI w.l~ c\.~ t-o..bleLl ~ c.}., \-\'1c\, RI;l~t\.t,~ ~\jl'.j~ \) "\ u\J)
3..2,') La ' LQ .\ cler E ARS 0M ill.
So. tCl'l\tTlon c\e it?C\v-1"ihOV\ sléc.\""\t '.
Fl'!) == j" _e-Y\j'6-i.e )< y , clVo
Q V e.c r (~) ~,0'.c-hI)'{\ cV E\A,lH ) ~ ~\- 0.. ~ ~Q'yèt A.e.ux pC\y- CI. '('/\ ~ t-rts v
• .J& ~cu. \"_de.s ~'(Clli\ëlcr,s -.0 1%LIS te.YY1~"'() ~
Dn d.e. Mo-y\he f Qrr lQ '('r\ é-t-~ 0 o..e c\v.. M..ClX.\lY\ \A.'('I\ • c\.t "'( il s e'fY\ b~ ClVIL€. ~ L(€.-
~ e,:;\- nh~ ci Vi(.~Q'I"'\-\llOV\ V.:.. pDJ LCL 're.lQ.tt4Y\ SLUVo..N\te..',
~'l ~J -= Lo~ V - 2: loa V; = \..o~ V -lo~ VN
~ U) ~~OvV\.\- \)v'{\t -hf\l\ilJV\ l(J'(\(\ ll\t.X-t c\1MT ~~.s \f C\\~Uf'! sMtdG1ïV'\~~b fo..Y',4 tCl-~~~o..v".\J..e. ~ln (ct H\)c\ RJI.\.\{~.,.ti" V l:Ul\') ,",'- ' ',. .:> '. \ G"
L~ r0- -ce,"'" ê-h-e. o, Q.c \- A. GY\ 'r\ ~ . fCÀ. 'r V'= 0-.
l~ ~e. GU\lBEL
d~ f-R t. Ct-\t ï ,
lA. - o<lv-vo)
lo ?J V - ( ., ~ V)Dlc\~~ CÀ s s.~ 'N\ ~N\~' Q\le..c
e.-t u -= C( [
la lDi c\e GUM&,fLEJ" F REC \=ŒI1.2..4--'\
À~?t\e.~ lcn.5 ~()u..b~t'M~T ex.~G\'\eMte..~\.~ ou, Lcr\6 cl€. \),Q\.wY'S, ~àY'l'{'J\U)
e..\\~ se. r'ù~t ~Y\.\- ) hl..lt~ J..e..u.x) SCJ\.,\)':l lQ terMe. "
F (V) -:=: e-- e-U
' au FLV) ~r la ~CiY\(J\6rI (~~ rll'l\_
Ce.f.\ ~ <rVJ t \TV\ \- CLff 0. (' q.:'\...\re ~\.eu )( cp (Ay- 0.. YY\t.-\ le. s C>( e..\;- \j0 ,
• béh~r, mI.J\ cJl..0'Y\ ~eLj) ~C\-ro.é \-rQ5 ~ o+l.lS h -«HI!'r~D\À' C~CLtyA-Q.. lo'\ ) \e.b pt\'rC\'('i\ë:h"'~ c\' Q..~\A,,:,JV'«\V'<\\ " H J..~d.\AÀSt'l\r clto ?Q'(:o...
\Y\ ~h ~ S\-cÀ tlS \i ~\,\.~ S. e.t (/\A l~ t-o... ~ le.OvU. s ~\.ol..v o..,-A,~ "
~"
1GUMBEl FRECHE!
-~V V
LD'~ V L ~o~ V, -- ~
N -N-- - ~
-~~ -- --- -- - ---';
\)2- ('1_'1)1.\
'f= V - :~. (~S V~ Lo~V )~-
N-lN-i-- - - -- -- --- -- -- -- --- -- ---- ------
. "
1°1 1 80 sr 1-- -
O)i-~OU- -0(
0( -
- - -- - ~ -- - -~ - - - -~--- - - -------
VD-
( Lo~ 'V )0- V - 0,45 \f Lo~V-0 45 V- -- 1
8 _Ca.h",,\._d.e.s ~~~j:.5_c\e.~(\f~~e~·hr{\\.\.l'tY\_c.r~."
T.~ se, Û\...\.C\.L\.~.;,.\t c\.\'{'t(..h'N\~j'f\\- pC\.'I"'~' \nte.T YY\é:c~iQIY·e. de \.0. VCl'(lo.lc~t u, h\"~e .
6.t \0- ~c-l <i~ r~ fC\'r \~~~(I'<\ ct'-IÀ c\C'Y\'I\e .A.\.::: - \.o~ (-la ~f î qlA.' lM i~o..\.e à:
c\ ('VF -Va) ~OV-'1 GUr\\)El '?..t 0< [ LOd VF _ Cl()~ VJD l ~"'V\:.,. fREC.HET
otiV\ c\.' o'oh~\r \0.. VD.\t.\A1-" corre.sfoY1.c\a.Mte. \ft' ou \<\'" ~\,fe.c. \'r _..1- ~. " 1-r
rh ?tM--t- UVL ;,\..\.'(' lt to.."okQ\-l S\,v\.\J'tlYl1) ?Ol...\'(' c\\\JtI'SU vC1JUl..Y-~ c~u..
hY'/\.{-ls c~ ('e.-~CV-'1'" Ir )\0/.) Ît~o.bO"'l\j) qu..l li..~t l~ d.e'b~t ('u~nl~é. VT
fi
LI~c.[Ar-t-+~?~ e.t- C; ~Cl, m.o~~"'Y\t cl~ L'.éc~QY\ttluY\ H-u.cLL~,
,[.s, bt: VAL\D\\t D'UM A.JUSTEMENIn.3Lo. ~Gi ll-tUSe:~ ?Oll'f"" li o..d\.lS,t~'N\~~ At ~Q c\ish\ btA.tl<lY'l s~a.~i~H q\..\..l. c\lvJV\ .it.~o..M_.
t i \\(1\1\ 1 re. ~ 're.?d s~ \ e ~~ u~~r èiul'\. Q \-; ve-'M \'Mf Le- f"'? v-lo. Ii~ 1.kc\.L~é "L'tY''('tI..\y' COYY\\'Y\\se !(rA a.c\Cl~hvA~ \)J'I\~ ~cJ\ ~oY\V\t~ ~ I..>-.NH t'fY'll\.'Y" C\(ClC\~~lA..ot.(Y1.
bIJV\ c. s v-'Î WV\ tc~ C\.!vl.\i \\\1V) cLM \1\ ~ ?w si su.y s lcri ~ e. , cl i .s. \-r" 6 LL~'O'Y\ f e..wJ- eN\ '1~\-re o..fpli.. \~e€.J.l c-; 0.. \5 dG'f\ VI O-/v'/I Al:.<) Y' i s. Ll\b}.s 0 pe..VL'H..N\lf ClL çr-~ Y't,Y' Yl 0b.-~\e'MtM\- A' WI\~ ~cr-t &. ~(CUvl1\"t
T \.. (VV\. ~ 0 r- \-t ~ ()J'rJ\ Le- C-M ~ e.. c, WV\ p0, Y"e. 'r ~ 1 Cl c\ l q u, o,...tl (V\ d-t C0J l~
cd-('1\ cV Cl cl G ?'ïu Le. yY\. e..~\l e.\.-\:1' ~ Iù.:> o,~ IJ-.!. t -e. yY\ t V\~ ,
l \VJ'{\ 6..Ph te-sh \U> ~~ u.t lts,t s ~t \~ te. s'r- ~ X-0?o-u-y \).,t..~ 1(,'1 ce, r e.s \ s \.\:. lV\iI.. ~ c..~ Cl..V'\t& 0\(\ l~ N U-d..\..~L~Y' s. cl Q.. B ~\'.D et- r0u."r
le.qL-le...\.. ~t ~~ th Y'tfO:,tLt(CM t= ()\) 0-- ai cl~~e.y-yY\.\V\e.€ (j'Y) :
0. \'-1 i S~ \ \ i c\, Q V\-h\\il"I\ v-. \)v\[\ ce...yt- QI V\ n CïYV\ '0 Y'e. K ci..~ c,Leus a s L lf"V\.te.N\. C\. V\. t~ o. t.\,LV\.l(. ri'\. L '\J J. t.Ll'(' c;, e. 1(?e'. n \'1\~\-c.\.\e.. ~ •Lt. re; l\'<'f\"c 'f' e.. 1\.. 1è1l~ le. l'fi d'N\~yt R~ Cl r- i ~ \).. -t cl..e.. V' CA.-~ e..1..L"''' l slJ.,y IJJV\ e: c.~ ClJ'{\1i.H m
AI'. ~ \}o1~'f"s) o.Jfe..t.ti~ .6: \..0... C-~Q~H}.. f(\Y' Le.. \(0 cLe.. r~fC\.Ai\l('l\.
Ce !YI Dmle re ))). vA de IN\ 'I\.é... ~ 0-'f '. _ .
));. = j ~l~, ~l%) ~x. -:::: Nlt (:fl) -:- F l x.i+~0':l'C-}--\-.... } J
........." .
L ;:-
fQ-,-A ~X~~~~ ?0\-\.'1 '- o, "-Q'\ c\e G\ e:, RA\" - G Pr l 1" 0 M e.J Lü- ~ tri cie
GDOD?"IC\-\ f= 3 ( \j) (J') ILl')) ) \0-. '-i\ A~ PEfrRSO\,\ f~ ~
(\i -t-Ir-loôV) k--\-- \~ ~Gi c\e. GU\l\3[l -fREC\-\cl f-::--;t l( V d--û')
PRD CE \JE DE. C flr°LC\)L
o Di vi .5{.'( t<M k c.\ Cl SS eh C\."( '0 \tr 0.\ y U l' i c.iÇ, C\. V\.\\ \ lCN\ 6.v.:, ~ -sCl-\ w f' S
c\ Q. ssi ?Ç\Y 0 Y'c\ r e c'-~ C. roi SS" CÀ.M1r t)V. cr 0 \ S S M\'f ) h (~~ qlA. e, c...~o...~ \À.~ ;... C-{fY\_
heY\'I\.~ Q\À yv\'°\i\Î'm.u.W\ L\.V\ '(\~'N\'cV'e r'Y\..cl >,.. 5 cl~ \lct..~t.L\.Y-.5 ~X?~rl'fÎ\eN\~Cl.~-Qh
• t~~~.'rmi\\n ))À \~ IV\(JM~"~ T~~c::.'("\~lA..~ ch. vo.\e..,\.A.n coY\~~\"''-'\.Jl cl()J'l\.l\Lo... e-\a.SSto,l fQ.Y' \0.. Yl(Q\-!OY\ :
1\ ::: Nr'1C>c) àoc = N lF ()(.~o), - f ('X;",;J~;~~ !J
~ o,ï• C"L.ulc, ., v-"\tcc> à-.; X -: 2. ['\'\.;-V,.: J
V;.• C~~':'L~ty- su..,- \e;:,h~\~ b..t ~tPtRSOM l\-o..b\e..OJ.._1..l.3,1..1...J lo.~"f'O '00.b ~\~\-~ ch ~~~ C( sse..~eAt CC> rit q~ Cf'I\ àCVvI t QIA "i\ <rYV\ \we c\..Q.. !~~ \"~ 5
à.e l~~ e.'('\-~ K-.:-1.. - i ::: À. .
(, ~( c.'e..1t e. r"-D ~Q.'b\l\.~l -w\ sll~ e. ri e.A-"("~ Q Cl) 0 5 l! Cl-~ uS te;'M I:M~ Q.A \
SCL\lsfo..\.so.0'i<\- .
~ S \. Q.,-\h vA \YI te: Y\ tA'- Y' -e cI 0 )0 5 °1L ~. D-. cle. +-0'(' te.s c~ o-.M t €.!)
crAU \.l D. ~ \A. S.t erM~f scr\ \- rm CL\N\ft\À s,
tJWiV> ce.. CQ.p ~\ e-of pî~~tY-C\~\-e ett. Le. Y-e.~e..h_y.
~--4- T Nl'ERVALLE b'E COI\\=\A-ML.'E
1'\€i.. (..0 Y'1e.s p()'{\6 feu> 0:. lo..
~\I o.ce.c, \..,VV\ ric~lAvjÀ ~lcrY\ \t\-~~
L'o.. i o, S te..VY\.t-v> \- di UN\.e. ~o-\. 0:- lo.. .., [~o.Ad-\ (1V\ d..% itle. s l--Ul 0\~ v'tY\t pe.r ,"VH_Y:
d'et>tlW\e..r ~CÀ.- vit-ess<.coY'f'CsfCJY\c\C\Y\\- ci' WV'-~ to.:\~\e triql.Le.Y\ce.. c\.e. d.e.rCJ.sst-'f(\€.;(\t d.o'(\V\.~e.) ?o...-r ~nyY\~\-t' \lih5l~ d.e.c-~ YW'-o...~~ 1 LJ~~e-~ s-e c.\:;v\h..Y\ Y\cJ.e. Je. ..t.. Y\ %e.. V\.t '<'0..~ l \ ~ ~c,"" CI.YI..iç( \ ~ <!'M à..ell ..n.\- rA'rU> 0 ~ \ -t.v- V~e.. S ('f\ r ~XŒ cieM.t ~ CI-. VY\ 0...\ S
Cl(vu..\C\\)".ts. J.~0Cl\YleS d(Qvw\.~~.
Pax cOY1.-dq\A...tJVVr l)N\e.. -Ferte.. e:x\.,O\?O~o..\\ÇIV\. r-,I J.M s,~\..,\ e..-t- \.0... p.,u:\s\e~
s leM re.ss-e..nt-,
A\Y\. 8 \ llÀ.. \iQ~tuV c\..t \.. 0.. v--\ te s se. -e<jtt '(V\. t '.Q..
urale... Il Cl.hu"- qs». '{\.-t. ?t-I.L-T )~\Y-e C.()"(\Y\,\Ae..
J.. t. chY'I\t.'(\ ç;. \ cm -t-i f\ i:e 1
9uÀ U1r L'ÎY\te.y-
c-~o.Y\.c..t s clt.. tro\.\.-
t 0% 0 \,\..\'"' G\.< s pro ~\-s 8 '\ '('{'\v 0 (' tQ.'I\.t.e i.CO"Y\ c yY\ l ~ u..-e.. '('I\.G"i Y\~ -e e \-- 0 li--
f . r .\1 + ~ rIY\ r~\~~Q V\.-\ ?0- .s \5_V\. ~ S e.. c\..\. Y'"' \Te. Î e.t:, ?0 1..\ s.s; ~ e.. ,
Re,W\o.r\v-. t ·. Dt\.Y\S UN' \"r~I"'IJQ\~~ d..e. C<lV\R O-.-V'U.. ;;, 0,S"j. ) <M 0.. '3SQ
/ Q cl~ c~u.",u , olehou."",,'" \0- v ",cele.. 'l"C'..\.t."AK' 2..u. ~o.('c\yY\t'lv~ ~~\-i l"'t \ \';'\"is il rts+~ s'I. clt c~<>-Y\c..ti c\.t. lC\f'l'ov-Ife..1" ~V' t\..\l.on ç\e. Lllnr...,..vC\\\'(. J ~15 0/. po\..\.Y' ,\v..e. t.t.l:k- v-,,--"e.~\.\' cl(.pQ.>\~ lo. '(V\.Q.V'~
~"i~'(\(».Y"<;'. Ail \\,,\tyV<l.\\.e.; .2,1)'/, po~\Y- ,\U,(t\\'t smr ll'lf<a''r\V-\....e ;;.. ln.. "'-o.V' O)t \nlt(v\lI.\V't ,
Ce, ~C\..me.Y\ t LQ '{\ Cl \-\ (1V\ c\ [\Y\h '(' v Q\.\.. e, cle, C.JM f-\0-.'V\le...
I/(),tl~ d. 0- 'i\. S lI:.-<\,lA..-t.~ ~l 11 0..... WI\ C. e. r\-etl '{\ '(l 0 Yv\.~re. d. e.
VtY".. lo.. \JTO-À.t. \fo..~~\A,Y'"' 6.IA. ?o-X-QW\t trf- c-"'n t.~~ ..
LI \y\~~y" \JOv\Le.. G\.e.. C(j\/\.~lOJ'l\-C~ ?oss':ë.c\.~ t-V'o t..s. fVOr'l\~tts e..t ~cr'I\ o.w. ;
1~\A ~c~-t eA\- ~\ QuJ-R"t- ?~ oa-rOVVLd.e q1A-i:. '_
- l e. clto~Îl cLe.. cG'V\. ç( C\iVU:__<! tp,,-o \:>0.~ .l;~~ ~ 0 u:r C\LÀ- €. ~ 0-. \JY-- oJ.t 1rC\..\..e...VI 'r S e.
Tv--O\A.ve. clo....vu ll\n\-e.n;--ol\;t) C."'-.GÙ'l so\.t- (),Y'Cl..Y\c~. 0 )
~ Lo.. &ls~e'(-4loY\ l c(~r 0:: Ai re.- l'{c.o.y'} ~lA-o...C.\V-Cl~~v...~ 'fY\()YjtY\ V} e s, t"oV-o..M.-0--~ ..
- \..--0- \-c0..\\{(. N cl~ li e'c.~ QV\.1ül(JY\ ~ \- î~ cb~t .
l ~ IJo1.12..\ ..w .J C. <fW\ 1('1\u.1f\ ~ \fVI l Vl.-t 0..6-- '(V\" lUS.(JY\\-- "
CJS16 ~O'v\. -c: b..~.s ?r-<~e.h \~~oV'\-OJY"h ~COy\OyY\i~I.Le.'M·~,A e.t- cu. -€.x~~~'V\'1r .. \ / \ \ !
\N.,r\,~ s.-e..C\--lY'l re( ~\. e..\l e...e.. ,
DE lE Rn lli E\TIDti CES INTE BVf}LLfs DE c()~FiflNCE
C~L 'ô,,:j c\.t Lllatl" ~~ S )
cl\:. y 0/" ) N ÜOc'/\t le Y\ G'M _
Le. t-~f~ d..<:. CCL\. ClL~ n.c~o\,~l ~o\.)..y- c.e.s c\.~ ft~n....'\\~ \~ ct-\..~ Y\.crvI.l 'V"-iIY'JJ'fI.C c1~VUI'f' ~r ~mr\r\q\À'I. t~ QH"()c.~~ ,
3)-,4''2. , Lo\ <le GIBRAï' -GALTON
l~ \Y\.h""'\TQ\'\eA c\.e.. cG'l\\-iUMl~ ~<l'i\\- c\~hrlY\\~~eJ.) li" io,T\-; y clell Y\'\.i\-~<::>c~~
o-Vy V. (.",,\0~~ ~ \..0. \i!'\ '(\ Cl f"'M-C\.\~ d.e G F\ \J S S cc r- lC\. la\ d.e. G\BR1\1- Gf\ LI D1'\
re.~~çe ~t.lV- l",W\e clish-i bll\-t(1Yl Y\Oîlf'llÔ-\..t- c\..t l~ \/'O-î\Qb\.Q. v-~d_u\h, '
A- ~'" lfite-slt \J,r (l)';Jtsre q~ i'tA.l.r, ~\-re. d.~~o.SS~e. l ~~ er« 1V' o.(lY\.~~sî
tones?O"Y\à ~Q '\Ja.no.~te. r{c\.~h J-L Ir :::. o, , lo~ (\J, -\Ir:, î 4- b
Ce. \te.. o-o,ri CÀ10 \<2 y-{ c\..uÙ, t su~J- WI\~ l \l\ ~e. G li lÀ S5 ,
~\flSi SI (]Y\. ~v,--\- c.o.luJ-,h.. r '-Vi\I'r\h'f'\iCl,\\.e ch, LoY\\-\OJV\.l~ Q fI( SLAr ~O
V0..1'"\ Q'ole. ),.llr or. fC\r-tï ,0-. cLe. ', .
+ 1- [le V' ~- ;\..1. -Il> X U Tr T '2.\ '{2N
VQnQ~\..e. c\.e S'TUDEN'I fOLlY À--=.. N,-1.
cor r e, s p<M.t\ a.. \,\..Y\ i V\\-0-- \J Q\t -e. ch. c<l'<\~\ C>J'/I. ce., .' 1
Icît 6e.' C~dY\I'\-e.~ ,
li:. -=- ~ co....-\- - -\-~f e. d.~ \l'O.. r-i Û\ b\VI '{'~b~tp "LL cie: ~~t-e..s d.~ lo.. c\..\ çh-; 6u-~ioY\ -tx.?t'f\me.'I\\-Q.~ cita ~te&~e.'>.
o-, -tM c\t.etw.t LI \X\t{Y' \Jo.~le- &.1:- C.<m~lC\Ml~ Sv..\<, \j):.
f= 10°/1:\ 'DIÀ ?J5 % ~,~.~\,\~y-e>.~
z: ~n: Cl~"'€. j\..i. à...v.i.te. co V're.<; p~~l\.\At a. \\tv tM'M~vJ ~t +erMp'i ~e.rtb\V-1.... _
~\'1\'\t'('dlOl\'l'\e.'{'/\e.'I\\ à'WV\ Du.."r--tl~ ) GY\- o.c\oph lQ\..l'<Y\.l'h, sl.\,~L
cie. L\ i 1'\rer- v-a..\1e. ~e CC;'f\ h- 0..'(\C. L
/
Loi de GQODR \C\-\
~IJ- d.~h'r.'(Y\\~IX.\-ilJY\ o\~ iYlhrV'o.\\u, C~( CCJV\i\OJVlLt pO\..\'t lQ... \.~ l'<.G 00 \)?J Cri V'~ V(~~'M-e'meM~ C<fW\ple.xe Q..t Mt luS\te ~'lA,Îi~lçCk.h(jV\ d' LVYI
or c~i '1\ 0-.\e..\>.'f' .
~ lI. lLVY\ ~ Yi\. ~~cc~t ?Y' CÀ.\,:~\.l.t. '(110.. eM.c..c Y'{. ~t.f "fY\,('Se. a.,Ll ?O'I nt ?\è 'rYV\. t \1o.vJ
LÀi'<\ CCÀ-\. CAl-\.. Y'i\~ \"1\ Q D...fVY' 0 C.~L cL e. c. €A i Y\ te.r- \J 0.\~ €t.l cle. C-lN'I. t \' aj'J\ C{ .
La.. c\eh:'r \'YI.\ 'fi 1:\\-i \lYI ci€J) i '(1h 'r v-c...~~~ c\. e. L <N\~i OJV\ c,e..' ?0 uJ'r. C.~~ e, lt>\ eAt rf.oa 0.
Le mt,V\\- (.<rW\ ~~V(e.. , Ce. ~ VVl.c\.o.'I\t \).J'{\ t YY\ ~ t-~ Cl cle. Q,.~? V' c c:.~ ~~ '{'~Cl S wv\t su!r
Uv'(\~ c\ \St'r'1 bl.A\-\(j'(\ y\ 0'(' 'NI. o...\..~ Gf1uss \e: ~Nt. Cl ~\~ cl~ \I e.\ Dp r~e .
LI\Y\h'f'VCL\~~ d.e.. c..()'I\~OJ'I\.le. Ci: fïo j\A'r la.·IJQ\'lo.~\.e. ~\'(" co.tc..\A..lt~ f(~r\.o...
\.-.0-\ c\e ?EPrR.3oK ~ ~s r Ào '{\y\~.e. ~o..r: +).,L 1.-'(> • ~. 'T"iN
o )..l ~ - f -:: ArClI'\ D..'b l~ A~ G Prl.\.s S <'0 HU pO"\~",,,,,t 6. LIJV\ \ V\ \e..r v o..~le. Àe. toYl tt o..M.l-t f 10 'E\~'( t.<>T G~5 V\.-« e,'e FO, 'f' ~Q. \-Cl\te.' c\.~ GPrus s l ta \,l e. ()J.). 2.. l; ,~ ,'1 )
:1+iY\li fC'\A,Y- ?-=CfJS'!o cM. o, .M,-=- 1..,'j,b <:W-t.c.. f(/V.l-:, 0)02.5
,. ~ V'\- WV\ c..oe.H\ ci~ 'r dt f{''I\clo.M.t At t ~. cr.~ ) 't Ù 0. J\-QV\T C\..VA.X. ~o.Y'G\.-
'Mi'n-u c\~ \.0... \~ c\.e.. ?E-\1P-..SON. \\1 ) Lei) \JQLt.\.>.'t.J' d.e. h lM~ Lut! jllA'rto.\At..().l.I.(d ~~~~~Î.. .ft v.t- \..1 ~ c: ~-('\- <\v..Q.~.,0.. \i.<x,\l..t W\.~ ~\ IJ'm',;,.\llVl \(.i l'. - .. ---
~ N ~t h N\.(j'M~n ek 0-wo-'~~~· V'{; . -L~OJ.é.~' \,. ':,\ \, î
3,4,~ 'l.!O\"DF GUMBEi lCtlb,àe...FRt-.C.-\-\E"I·X ~l'("' trv. ~ \.~v) -tJ>\-- \..0- \fÎ~U~ o..<M. V\.ù. feJ-V' ~Q la-' o~e.. blA.\\~EL CON- FItH\o\E') ?Ol.A'r ~a. J\1b.~l/.. ~~O'f\ '1)..'1..- ~.r' ~.t'J' a&. nJ~\A'(' Ir) lI>-. 1f1I..~tJ.l-.'r ,'r'~ill.Q. \J,r L~, Lo~ 'J'Tr) J..e.L", v\\-tM-t
. /\ .-'\'
QJ.>'\ ~~\.'t C\\l..t ~ .V,,'(" -~L.\ If ~ V'TY' -6 \J"T'" -+ K1. \f' llo-\. cl..~ GV-.rtB'fL)
'. ',,' c:;;;~ ,-\<.t-ir ~ .' '',i,r, ~' '~v ~~,1.(J\ l ~ 6\ ~l f-~~q-\t\l, ...' ,
r~I.-UNv~ l \~ ~D.'(~ ~~oJ.ro..\;.\,:,,-~ '(V\.~ ~\Z '1 Ù \Z. i, ~.~ ~ S \,tv'r \.W %Y' a.~~( ~\kM ;;: ~\. ' o\.'t UM. t-;- e<M-U. :Hx.~ . 0.. \.l':\5 fo o-v..1-0~
\ ,
~}.
~~...5 bEIER'MI\'--\A,(ON DES VllfSSES \lE DESIGN MEC \ f\ \"Q\ bf G\lDBtl
Lex.. ~CN\c\\ CSY\ c\.<:. y-~ fe>-Y+1ti (}'v\ ll~(~\.S.u S-tv--o.. c.e..He 6.u..." \-~?e. T. dct '-.ex..l<ri cLe
5U\\.'èE.L qL\À 0.. ~H o..nL\~\.lte.- % ~c\'Y'()\L0'ô't~ sv-rbt \ov-r\tDà.e~i~à.e.c'(-lJ-.u.
La.. ~\ïY\. C.~\ lM d-.e.. 'r~?o.'('\-i \-\ CiY\ ol!A)r:
p (~)::: ex.? L- ex? (- 0( (x -).l})l ::: P lx L x)
Ù lo.. t<m(...11 e-. d..e... 'le'. ~ o..v--l-\ ()V\. ~\-',
~C~I= 0{ tl\? L- O«X-)J.) -~x~(-o«x-J-,-))J
o~ C\ ~r \..~ ?o..'f"o..'f"\~\-v--t. ch. C~lS ?-tY si CJVI ~\-}.A lt. yY\<lC~e. -
L~ I('/'o ~\ 0<.( ';le ~ p.) s (OfV~~'-~ lO-. \fUr-t o-\L~ 're:~\-e. e,t- c.eÜe. !Ylo~:{ ro.Y"' t}
~O\AY- \.0 6..isn-'\ ~u-'n'GY\ .4 -\-~y~ L '
LI e.o~\'{V\.o..\\\'I'I cleo ?U.Y-Q,vv\'-~\-'("~ ,C>( -eJ'}J- yo:r le>- '1YI~tho à.e d.U) vY\.Û'MeN\~
~ ""'y\ e, " \f['J".. c\. -::.S
N -= m.C>VV\. 'c'f't. \ck ~ J.' 0 bs~y-- irQ\-( r-M
'fN -::. ~c.o..'('\--_~p~ 're'c\..uÀ.t ) ~()"(\cl\~'V\ ct.e. N
'jN -::. Mo '6 ~'(\Y\"1 y-iAu,;J ~ ) ~ 0'1\.Clù'/\ At. M
Le ~ v-ole..u,y-" cil. crN 0t- 'jN ~ ~.A,I.v-t'l';\- ~ \-'/'{ ~~ ~I.ly- \e. \-a.\\e.cw. rct ~'lA Rw\'lt~)
t0L\.V- o..~ \Jo.\W"fS 6...t. ~ o.l~o..V\.t -i\À~ qu..I i 1.. DD '
Le. s \fo.\VJ-.'r.S . Y\\À.'M~Y-\ ~\.le.s c\e. ~'Q f-(\'l\.t,\\0"Y\ c\e. r~?o.."'('h h (JY\ e..\- clt Lo.. ~lV\.C.,tlM
à.~ c\\.i\n~\À,lnG"l\ de. f'("C>~Cl'o~~~~~ corl"e.s?<NIc.lQ.M..\ cJJ,..X \JoJe..u.y-~ c\e- ~o.. \f'o..f\'Qbl~
're~\-t ~ S(N\t ~~,,-\~,:;'I\..w~ ~~ s';"-AY" LQ. k~\-e..CUJ- \ c.1,~"J-\,\,~ ?'Ovx...w. N,\l, -ïl)U)
CI(.·\h. ~fu (..\.. IK\ ct.~ '(" t. \' CÀ""l:~\i UV\ "r\ 1~\" ?C\. s . s~ 'M.é..lm ~'" e 'M o..l S f D S.\ €: ~~ (Ay\1?-
n~'fi'v~~€'\Jt'f'"5 \Ul \JQ.\.eMY' s f 'wv) ''à y- QVI,(\e..s .
18
Ô \-5 i~ Colc.Q\ t> 0.'( v 0'\ e' %,(0. phI C\lLe
la v\~uçe. cle... à.es i~", <Ul r- c:\,,~~ey Y'l\t'l\(e 0: ?o.y- ln, c~~ \..1).. f~ri 0 c\c. olt 'leJoùr ,
1.ci- c-~1\-e 'le.c-~e:r-t,~t cle- v-ihsse à.e ~e ,\ ~'" ,nr'Q 't.oJJe ' ,;: li o..Ld.t c\,L ~o.. Y'fItt-\toc\t
àct- GUI\Il.lEl (oY\O-~'Se. ,"c\e- ~ri~\\.~\'\c~ ~~Oep\\'lqQ{)'
-\.- ) l?X\'U(.f\]"\Qt-\ DE 1 8- llE"IH.O\)t
Le>.. Yn.~~aQe '1r-(L~\v\~u.~ ye.I·"fl'\e.,t 0: LI u-\.i.\ÜoJUA.Y- dl irJ~rp:eJtr Le ph~h~M.t'(\Q
Ô. LI e\-\u~~ ete. ~CLÇ,cNI vi S \A..t\lt. 'j
l\\e. c..msiste- ~ ~os'\h()"'l\'l\er çl.Ar Uft\ ya-~t~'I o-~~'lOFi~ CG\.lI"\I2,EL) ~e.Jj ?C\.i'f~
c\~ vQ\e,\,,\n C ':<.-J htqLl~U .. ') e~ ho....u,'( ~~ui~~ L>J\'\L U~'V\e J.ro\k qW:
SlÙ-t ~ieM CW p~\1 o.lh exrifÎ.YY\eMtewx.'Lo. 'tI\.~\\o <Le t\.e... c A\..\ ç:0 Rt-Il E.. €/)~ -\-,---; \..l.-Uk~ t 't f OVl>r c.oL...J..l..'r \..0.. ~Y'{q ùtN\_
ce -{.J<~ {ri '(V\ ~'<\t-o..\e.. F': r= _ ((l'\... (1)'('1\.-\-1.
DU. f'ffi.: '1o»:~ 0 cc..~~ ?0...Y"" \A..'1' e. C>~ .s H \l 0....tL(f'(\ d.. 0JVI-0 \.1 f cl"'.IV\.\i~luv. c...l o..JI<l ~
~Q'r D '(6...I't..' . c\.i tr 0 l &so..'\It~' '
CV\. '= fY\ C:l 'M~~ \-0\-0.\. 0.' 0\d ~'f' \HLl:\.C'M ,
C\.O,](J tr\. t lU> i \.J'ù'I\ e..wH.'V\\-s ~ 0 y D rc\ V' f. cle': c.r-cis S OJ\rJ )
- Co...Lcu.\.e.y- \Q .çY'-Lqu..~le.. POW C~O-C\.lle.. i\Je.rn.eJ'fI\0V\\ 0. ~/eu:cLf.. d.e. l' eqLllLtlCV\.@),
PosihDV\V\ev- \es ~O'\'f\~S Sl.\..V"' \.e.. ?Qfie...r q,r-O.. ?l\lq\..IQ.. ;~Fo~l""i~ ,
\'l'D--c..er lQ 'fV\.e.~~~e...\.l'îe. \..\%'1\.11.. c\.rcr1.~e. n +f'o-"e,"s \-€.. Y'\.LLO""~ d..e. ?o\;t-..s. j
- 1.Y\h..Y' ro\eT' '~ü\,\.\'" t-rC\A.\I'e.:r La- t\'"~C\u.e..'l\.U dll.\..Y\ L\lt:l'\..t\l'\.Q..."I\1 C\u...t~c...(J'I\_
qv.-~o\,,\ ~ cL \1~'I\.Q. VY\.~";\ 't- LO'{ 'le. S t> CM c\ 0.... "(\t d 0JVle.. \) \:,\' \ 'Ill\ 1 r- 0 C\.. (H 1-1 Te.. v 0 v~ u:..e.. •
..~. 5.2
PQ\..lV- C.CI.\. ci.>-.~t r LO- "-i,fe S5 e IYY\ CÀ be S'C) i Y\ cle... c.on YI o.Î\-r-e l (~ GCLrt - ~~f e
r~ ~\,\,~\ 'fN ·et lO,. ma '-i\len rve, 'lé c\.uit-e. 'j' N q\.;u ScrY\t- i?üY\c.\üm c~e.. N .
.- 5 PrQ c~dL\n. de colu.\ls ·L.i
Il
\IN et- ~N
fi\.
'X J\ L 'X.-- A-1'(\..-
À,~ 1-
Lr(\.
S-=. 1 LlfL,i.:o-l
\ ) : \ ,
-1;X) .2.J J 'J.J( :t.i. -
l '
L\ = r:;::.
:::: ' 1 - ~ - Fl'Je)
~ID Co1'\ ~ o.i ss 0..,,/\\ Fex) crrY\ C\~\€.,'{ \"1\\'l'J,. ':;:l'.
o \)~~I:."rlY\\fleY lo.. 0tesse o...vec la- Y€.-~Cl..h\J'(\ s\...\·\\jc\y\\~
lx ~ ~ + f' \
..
0- s. 2.2
N -= '2> '5
S \1E . l \G U It\C HOR
0.\on
::lN
c<- 19 3- 1
"
?O'J..'(" \.A.ne V~Y-iDJe Je ye.tovr dt.. ete jOo--Y\s DYI 0.. ;'::"
'F C:cj ::: V'{Ob (X L 'X) ::: i - ~y- - 1.. - ~o -= O/3f;61-
Ü'Y\ ho V-\I'"t 'C\",,-t. ?DIA 'f" 'f (Je '):=. 0) ~ -6 61 ') ~\::: ::,) 3 &S
?c.vy- sU:~ft cc e ~ -+).À.. - '31~85 +i'j):> = jq-)2.-'j~ 5 NY\.fA~ O)1880i
3-,,),2.,3 S\Tt.' I AM BA [ DUMw
~ ::: 4- )'341 Cl
\lN ::: 1.,12 S55 4, Cjlt10
.) 1 S. L ,~
1 12. 8SJ - 0 ~4431.
- 1
M.
0/:.402.2.2...) Si i..I?> _.~---
- 0; ~44-?>i
'X..::.
SnE: DÀKB-R- 'j OFF
Pou.y- Iy-:: :'OCl.~) F Cx) ::. °1 96 6 f =) 'j = 3;335
,1
Y0.Y- S ~\.~e rx:-=. :::1-t .A.L -:::.
?'/~852.,0 /"1- 4 35) 1L (YV\f.b-+ -0<- D)22..6
r--------------------------------"--
J ES]" DE Y f1..l.lbîTE DE l'AJUS lE ME tl1
OvI1t.c- 0( = -\j Cl -=.. 'J - 0 Il; S V
3;, (; ,1 -', Çl RdCE\) 11 'il.. E:.
_ b éhr mi "~r f \ ,,) .e V'\ (..u.lu",lo,,'('1\- 0{ e..f Vo
- D\ If, R,(, L' éc'" e, '1\Î\ ~\ tN\ fYY\ \< &0.. sse ~
- CCl.\. eu,te,.\' Lt:\ y\(jY'{\\!oyes +h~ 0 ri q\A.e S JJi d.e \JCl\ (..\..\'îS Qpf-~c..h~ 0. c~ a-q <.l e cXQ&st~,,p o.r Lo, la\, c\ e ,t ~ o.v \i \-l6V\ .
CQ~ c-'"AJtr X!'- ~.'I 'le. ? CX <.) GU'C \es to..b\es c.lefE fi RSo N a li CA't-cle At À- - K..,.i - f
SilE, l\(?UINCt\OB
-'\1 -
~~:>' 0\ - - -
oo
v F (v)+<>0 i
n 0, 6{ 9".l..'l- e, 61~'
1.'" 1 S 'O,1-t'u~LI ,5 O,'Hrt'L
2,0,5 0,4503LO,S O,450'!>
~.. o \ KS~1'\- O\1&~y
6
8
1
"" -::. ~S''CoL ~sH
t
2- 1
3
4
5
1
SIJE; "J"AM'6ACOUNDA
V -=. 2.4) ~~g f'tY\ jA
=0)2..5941-2
\T =- 4,B410
eX =-.J- '=. ~~---
0iH<f O,thl.tJ'3l"0
\j~-=- V -04S(J- z i, "H-O,45l\41~410'-=v '_)'
""
!fi;" C\USH \f F l v) 1"(\1";)- f \\f,i"1) '» ~::: N(f(V~)- f(V".;)
-j-oè 1-
5 ~ 0,1 V~g ~,4'\~2.
'2..~/5 0,n02
7..~,S 0, rî-O'l.
1- 2 O,H~~ 6)62.32-
2. S,s Cl, (,":'4
l- 2. 5) 5 0,61-154
1- 3 0)15 ~'l. 5) ~+ ~8
Î-:',:, 0,511-2'Z- ::,15 0)511-2.
'"'i? '4 °IHÇ)?> '3,Y%2.
'Lo, S o,'z. or,!}2.0,5 o)zn9
1- 5o,t"'1-~ 'Z,oli'i~
0 Cl -Il,,, \"'j_\Î~\'l ::: O,~"
'J A '
À '" 1< _" ,-" -c 5..1 .. 2 -= t
\~) (I t ) -= a 1- -1- (O,b-_~I1-) (O"q,r - O,'t13) ::. 0 616J f ' .l1,O~" o,enJ) ,
I\~ t li o..J LI. sk"",- e. '1\.r <:.s r so:\:\rf~ Kv\,l.~
';> 0,65 ,
-2...\.I E " i) AV\ &_80..-=-':::LUEE'3.6.13
rr-, ~,?lG1- 0<"0- .1-. _ 1 ~ 2S 8'1'l,Y 1\'1o~-S01"1-~<J DI1-S')(~,":I6t
s
2.
F \ \1)
1.
0,8135
0 , H 41
3
G
~4,5
2. ~,5
0, ''1-4,.
5
6
5
5
~O/5
:;LO,S
'18 J5
o o
5/'1-5'\5
'.' \
SITE' ':21- LOL\\S
'T-:: 1-) &2. \J -= as. J ? 1 4 ~ 'M.)-1
Yo -:.. \; _ 0/4 S cr = -1 8/~ 'il S 3 ('M 1Ll
lX:=' .-J1 _
D,'H ~ 1-)82.
c.\asse r(\.i V f-\...\J) l''l'JA) -fl"À.H) N[FlV,,) - f(~,.: -\1)-=))~
~eo 1.
1 ~ 0)2 04 1-l1 l[ D
'L~ o ;:p~ ~
z~ CI1-!'] '
Z 5 O)~H r,!j1<lH,S oj '5,,"0
'H,S O,s:rc .
3 1- 0,112 3;,nO'1. \), S 0,455'lO,S 0,4.58
y 1- °1'\.2..0 4,~oCJ
18,5 D,TH'\8,S
.°1,3,y
5 S 0.11-6 LI( o6Cl1 hl S 0,221-16,5 0)2.11-
6 6 °l~n 1-, :r:to0 0
- b,-6L
,q ,(rj-D
~ ;,.., DETE,?-MIN ATIQN DéS IMTER..VALLES DE COt\F;IANrE ,
L1()..~ "'-5h '(Y\ eN\,\- cV u.N\ -t \. 0"1 ~~ r ~ o CI.y.. \..di lfV\ C\, tJJ -rikn-<Jl c\. 0" L . IL \ 1 ~ ... .' .•.. _\ x, v ~V\,\ r-tY''(Y1"t.·r 0 %1\_
~{y L,., \f\~Uk ..c..o.,...v-e.sr~.J Ovv\h c l»'i\è f~~~e. t-r-i'tv.-e:V\lt à.e. J..~fa.sS-e'Mtv\'\- c\OYIY\u./po.y -ex..tYV\\l~-l 'fIte.sa c\..t.c.~Yl'AC\..\.~ ) V'\~eH~ c eMh.Y\Y\.(\\..~ ) v\~e,)lt 'r<\~~M.Y\.C\.\.,,- .tL~t-
Le SéC~(l':;\\l\\<1'M à.u 0te.H~ o~ lt.!' \i'~to ",1 exu' dCA..V'\t- ~Q~C'A.~S C\",-~lt\" '-'.t s
~\1C\i'l'\o d(a.'f\.'1'\~~ ) ~L f-c:...v..r- rY'odcle r C\.,IÀ c.o.\w.l c~tcl ivJe.V'vCJ..~\~.s de.. (MhOM\.,{,.ll,
Le d.e. ~ y.. { cl\'. LC1",Ji (),N'lll~ St r-CJ.. cl..e '3 S"'j 0 .. c C\.V" II rI'" o·<\,e.\' ~r i CCl n ~ '(Y\ \ ~ \A.t. VV\ e-Y\;ri'~ ~G r \-0..'1\\' ~\- i.l.e.X.~ ~ \A.~ <. s-i" tA.w·ih' .e.\.e v ~~ ~
S.i.Y eJ:>t-·lo. \f(Lku.r cl..cr'oI\'I'\~~ fo..r- \ 1CI.)Vo.J t e.'{'i\ .el'""t o.v-tc \..Q., ~cr1 cle G LAflB E\.
?ôl.!.'(' ':'" ",h...I\e.t\.loh'~\A.~ . Je. 1-t'1VlfS de. 'te.tOQV" Tr ) \.o-.vo..l~u.Y' r~ell~ \f-r:V"
c~t '-0. v-\ h.H e Q.i)r +~\\.~ qu.~ ',
L L
tr -LtC\.Y\.t l' ict\'f't ~\.l",dV'a.kq~e. )'VI0Qt'/\) I<'\. eJ- \<z. Ü-o.vJ .fm,"Y'Y'\\S ro..r- \e.
~'('o..f'M',,,,,~ v\"{ù.té' ~è~t'/\~(V<\,\-- M ,H.W.\ ch c.(N\h'ÛJ"I.(,( ~ü,~ 95"1. er tlt l~,. to..:~LlQ.. o\e. li teha.YI.tlLl~ .
SITE, TA M B A 'C D IJ N DA
1" \, -0 (7\ " "'GI'-1,~~ )<1.\1~.l\~O S VT ,_ ~_ ':1.61·{ ..... 1.,.,.i'-\,~\dOCÀ.\IV\.t .~ a... V\ CAfV't-> Xl) , • J o \ JO
.. \,...;....--,----..:..-_---1 ~I~
'1.1-.'2.. ~ \Té : DAKA R. ...:. ":::1 OfF..A
CT ~ 4, % t· V'\.. . ::: 3S J r 2 !VI 1/.1
N:::?>,,> ) iN _ 5;T5
1".. :::. 2, 0 C>,r\J)
VN -: 'S\~s
r'<,0-\\ ---- 'll---":"-~---------
~ .1,3
\f= 'f,n.N-=.. ':) "::,
\"'( ::. j 0 t<Mll
\fFi -::. S 1 ~ ~.
. SITE; >\- LQlU;'.A
'\J \ '( -:=. 4 2.'1 n VV\ IIIfN-:::S)'?J'l...·
~ C) K y=- 1- 1 ?:> S
C7V\ 0..\ 4.t 1 n - 1,1.6 ~ +,H f: Y,y'S 4 2,n -+ 1,35 J( 1-, 8t
'3 ?>, 1b ""1 il L. 'Y'I'r L- S z l-=t ~ ""'- \1\-1_~ ---'. S\TE \ "t: \ G \ 1\ N C\-1 OR
·eJ- \-<, 2.':::' A 1r'.L \ \)
30, ) 4 L '\j \'(' L 4 51 4 "" 1-6-~J~---,----[
1 ~
1
1 ,1 LM'iE\;<.\IP1llt: \j\\E.S3t R-A
~ \J~)SilE \jIl' ['rA 11.l/DE.. l,IT\L\Sé?-. pouR
COM~IA~[E:. LE" Ilf:S\Gr-\[ "" \ Il ')
1 ~\"\ ~~LOU \'\~~ 3E:{b [30;1-2. ; 4~ ,47J clb' '\ ~ ~~142.
DA\ZFtR- 'JOFf 35,T2 [ 3D10\) ; 42.,6'8J O,14b ~2..)b8
ST_lDlI\S, Lt 212.3 [;'))\1{, j 5L/15J o o8~ 52.. 1t-51
Z \5Ult\(\{OR 31-,3 [~(i134 j yS,4] OJ 342 1 SI L,
1c~~?ï~;~'% t\Jf\Ll\ATIOt\ \)t LA pRESSION D-::iNA.M\Ç]üE
l.e'e;,c~Q,(;~" 'ct~ . \j ~\- ) , 'cl~ 1'I\.v:,"t- J-- M &.u J YY\.~ ,SM~ ~ s UTL\co..'V'~
·.GU'r<LQ;~~ , ( >
:tL~~~o-M~' ·tG.- S~'Ic-~QJ{' ~ 19-' pb,,~y.~~.JJ-.~1e ~ ~~Q..~J. ro-r~
c.~s - CÀ. tilt \...0-- SIJI,V' t.\.....Q.;t~ cl~ \J'~.I\I'.\'\,
l~ e.~h,,~ ~ \I<:Mt g\f'(\t CO~h~ d..Q,MJ.) \.e. t>Cl <A'M.~f T€.-Gh~~
~~ t L z Ri~~ N" ~'s >':> ~ 0.. ~X( 'fI\..O cht-~t .dn.GYYI 'r~~tf ?Q'r- cl Q.6
)
O-.V\I'I.{XVl J~ QV\V"e..~ >'\ 3 (; 1- ~
1.\ .t ~_ ? !\.s.s.s \ l) t\ ? ~ N A 1} \ sP LI E ( 1.
LI o..cJ:z. \l'A .i~.t'('(\~\-o.,\Y't wvvi:\-o:,\V'e e)(e...'("c~Q. lCl'f' l~ \J tN\t Su",Y' \..\.N\e f CLC~
c\ \vV\ -tt~\l'\ CM ~ c\.e. pa.r- o-l QA r- AcM Y\ é ro.r: ~o- te ~ vv\-"':~t suJ lJ'o.Jv\~<: ' .
A= c ~ q c~cvv..6 t~~Jh.
C- 0;=. (0 e,~~c.l~\- cle.. t'l'Uf.\ ~ \f'I\ ~ -ù>t J<lV\ c\i.. Vl'\ ~ ~ f ClS \ li. 0'Wl cLe. LCL
t..<f'I\J>\, u.e..-\\.1,,,, -et ~ to... 'P 'rUS1<l'<\ ~o.. 'MÀ.. '\~ ~IMc\A M ch. LOo. \fi. ~e..1 H Au.~\
t V:J~, 'f°t: h ~lo y.s~ .lo.:.' }CLC.~ ~~ $\!V..~ H cl \..VYI..t ft\,\. r- pY"t-ss l' (\\ V\-
{'(\.i~Ov\i.t- ~?ncyu(.{".ttt J:v "r:>. ci ~ SU.CC-( (f\A Cc\.~fnl~\'\TY\ ') "
t~ \-o-u..o ~ CM lo.. p_.UI<l \. Q".\ ~ OJW\À~ ~ \- ~ ~ ote... Q. ~
\j~ ,
16) :;,
~ =- ?'f't..IJ \ Q".\ ~'l\. 0..~~ ~ ,0\ Q \'\ f 'YY\ 'l..
Ü V ~ to-: li-\.~~t clv.. ~~ Vt\. (f'<V\. 1A ')
CM cLi.\-- eUs hV\~ u,cr ~ \.to c..o.l\.I..l....,t~ lJ,.M..e... ~ Y'es S l qv, ~'Y\.Ovw ~~ V\Q Y'M-lLlt
V- IJ.M.~ r'u~..·; llY\ ~ YI,0..'M.LF ex h--~W\.~ ; t. V"Q~ po 'Y t c\. e \.0. h-~ UlV\J-l 0: ltL
fl'~'r<'À. ~H . ut- y'( s J..~ Cl.i 0: iITS.,<l
.
il
ill.
PRU~\Of'\ Il'JNArtl\)v.~ ilE Sftl. ?R-ESllOi'\ "?',jNf\\1lQiA~ l'~
NGRflI\LE: (etaNf",t) e./l-sË ëXlRe.rl.l~ Lcl.aNITY'~)
'50 e'1-,5
,,-\,2 .noDIElclX'JION \)Es ?Ç>.,ES.s\ONS ~j"'110ICyUES DE BASE
L C\.. \'lY' e. Ss" \!VI ~ Y\ C\~~ \Lt q1-\ C"-'àù ~ QM1- ~ \JvV\..~ ~J Utr \-\ O-JJ.- cl.~ VJ)
~ s). ~~ c~~ ~(Y\.l~ YQY' lo.. N. LQ\-i CM ~ uA. \fo...v-~e. ~,
.~ H = 9.tO x 2 1 5
G\OJ'M '-O-~'t. 91-{ cl~s(O(Yle lQ pf'nùUY\~ nCA.W\-t~lll i. l~ hQ..M.\-~,uV' \-\ J
~ ID ~Q ?'f' t ~ J ; OVI ~'''I\ 0. mLq~ de bo.J e Ci: 10 l\M cl ~ tcu.A.h~AJ"V'0~ '"\ tO- t~~ JljvI. l'M C<TWv~'r-u rI, \,-Vv1M ~ tlo-t ~v-\'('ll'I\V\.oJVJ &Llrr O~S~.\~\.~'M~v\1r tov\0(J\1\W .
l\. ~~ ry(o~'(' ~ tCL M.a..kA1't ~ i.h.k lit'M~ la.MklllM C~t ~Q c.~\f'IÀ-c't\.1J'I\CÀ. DM,~ i v,JLIJ--VV\L€.- rlVV\..Q.'Î Qr:-c0.~\t oS li y- ~w \JQ.\tu,,'(-j cÀ.u ~'f'e.Jdî' Mf.l ~ nO- 'MÀ.-
\ \ \ '1. ' f 1\,~ S C\,~ '0 c.s '2.' Ov~.:tt. r- 'N\,l~~~ ~ DV.,'f' l..JJY\. t~ rL~ lM r
b<rv.c ~ u-~ QJ.o-\J~ fOW"l b fy-f;r)l0'N\ d-~VI ~~ k. b~
rt\àY'~o1- .u~~'n-~-{ f~V\b ~He'\"~~S' jl~\-eb Df/V\J~i~~ CJJ.A~J~AH-t~V) c;: _ à..~-vJ.) fYV\JA.thr\Af..QA to..y- \)j'{\ LO~~~().ilJv\t J-e- ~k (:L(1VIv\'Q. po. r-
le. ~~l~ Q,U. c; _ cl~ C)\.l,))..·
5 \ lE Rt.\:'llil'tI R.EG\Ol'\.~ REGION. Ul
S \ lE PP-DjtGE o '6() oJI? 0 0)801
SIlE NORMAL /\,00 1\,00 -'1,00
Sns EX?DSE 1- 135 1.,'>0 1.,'2..5
N~~ ~ fu· 't'r'.Ü~\ O'NJ cLt boJK f€.U.-viM-1- ~~ j'{Y\t)~h'~ ro.: lldfJ
J..t. m cd~~ ~o r-s~ ~Q L.Q"Nlh LLt"t.~ -€P \- Yv\QJ;)~{t fO\ '(' h ~~~tm.~ \-- Cl\,\,
0rM~\t ~V'J\r f 0\ -c- ~ t C\M~'('Vl c-v.Y'('-~ ~ C'.N'I\~ \N'N-.. %Y-(}'(VU\~ fl'f'O pc..\ ~\,\,t~\ r 'Oct c\,v,.'i"U ~
Pe-1N\. \.~ CO'Mt '(' u...J.;" I!'M Ci- '0 OJ>-t y- ~c...\-CV\/\. -- .. ~ c.,\ r-e, (.UA '" ~I\ L \.'~ 'ov\lv.T C'~.:r·ro.A~
C(k."I>..t.~tv.:st\.~ Qi~\I\,('?P 6..ÜJ'M ~ N V6 S ~ 'fÎ"~O'VVJ ~"A-CI\-'l"M'~
3.1f'\~ C--\I'Ni~\-~ S lA...... bt<t',Q.o.. tO.AÀb.v. '( 0 cle.. l \:t 1- 1\..-'\rI CÀ. UT'f\j)f"r LLc... (1\1\ -Q. \ S(JV\r
~<J'l\,V\Lw ~o.V' l~ Y'tlo-.:tc [}lA ~w..\FW'I'-\--t
.q -) d. Q N(l'rv\,'l.
-t--71'i'1\.~\- ~ c.ot.~~ci.~\-- (h Ie:~~
r1L 2..,45
31~5
.' ,
._------~-- -- -- . - '-,.L- _
I-\J') tlE.TEB.GINA110N DES PRESSIQNS EXEp,tËE S PA P:-. LE Yl;'NT
L~ c\.tk~V'IV\'I\C'..\\ fJV\ cle: cdk o...ct."" {\e\'J\.~~Q..·\~e pa.r \)'Y'v\',l cle SlAy!-a-\.Q
~S\- kv.h \~ \. <",CN\JI\ o\..ty tvJv\- I.VI\ c...O~~'\.'c.,è~'V\'\ clIC- fYU H M l'l'Y\-~Y\...Q C
ryM .tt>t- ~M.(.t. M ch lCt (-0 rYV\~ cl.t~' i~éV'i\.!NI.+ t.q'N)lc\~'r€ ) dA: slh J-d.l P(}.. ro~ih'rt'I.~\ 'f\.JI c.t\\ t fT'eJr\\' lfV\ ~-ro.. t~ J.t cr ? -:. C ". qr-'
PR.oCEPIIRE \'lE Cfr\...cu\... bEs. Pl<.E.&S\ONS
Il - ld.vv\'t.{i~1"' l~ ~\-e- \ fv..M CA.lCM.~t'f' ~o.. u-l~W-{. ~ J..Vl\c.y'f' f CL\" QrWl~~tvJ0: W'I\.~ \..~ L fOeY" .Q..)(..\ijM.r~ GUI\~E L 1 ?Ef\RSOI'-\ UL) .:;
1.. CQle-u.L.... lo.- ~"'eH\OV\. ~V\.Ck.yV\.,t~ àu, 'oo...H. 9'\.o(.lj.){C. \.0 f-crVV\..ili ,
\j'l.
~ -----:;> c\ o,~ (rm'L
\j -') l'M 1.!'
H-::>('M.
! 1
JU-H.
lKcw-~)1LIY\;I.' e.v.,)
(betsl
-r2.00~\"
,------.l.:-L
Î) ( - LI l 'M .;1
C\-~"~ e. ~ u,c,IiC7V\ cl e N. Q vit r \T::: \ \'a- IV' OJJ'€ C-
c, 10l5ù x. ~oo1..' b' 3 l - 5ZJ::: (, = b,(,b1-x-\O mm
\e Y'-\.,...q,.,..,'ï c.C>""'Y"e'~(j",-c\..(W.I-:: \JI -=- If,'s ~ i,3:lrL x b(b61- x '\0', '=.1\'31~ 5 f"W'M )/\M-~e.t VeHov-t \\"\"Mo..\~' 'ifxA:= O,D~l?12'l(1000."lOO'=- -1..~(~ ~\'lI"",J ,'(-t ~O-"te.iv-)
S.1.1\. ,."'I.e (Il' AfA \ta1..."'....t.I....-r\r MIi'M~Mt- ~J dtort bùr_~L
N° dl\'M"t'llt @ @ © ® ® 63) ® ~
MI\. (~N·"'I"'t) -'~2.J8T ....B ,15 -\1~1~5 ~ .'\1 gf, -';:1o)H/ !l'\ 1'1..8 ~ ~) 'L~ -1 0.J (i' .:,;
N C~N/mO {è,S~ '1'),'<; 'l'j;" 18,5L/ 1"hSS "2/3 12,3 11-,S S
~ 0 ~~"J e ® ,@ ® œ Qi) G) (0 ®1"\1\. (ktl.",jV1\U 1. :'\\.1 "\,5 :. 1'\,52. 1'1,12 -4,tl.o. - \...., '>3 -'-I,5\.\ -\.\( 7,lt
N llwlf'ln ~'\; t J.. '\,?l "2- .tÎ,3'L .t1,2. '1&)5 18,i- 18}T 18)S
W ~\~". @ § (îj) ~1
nfll\~,,",,I,,,Ù '3(C'r 'lD 1 t -10/u <j ,66N l~NI ..... t) 1't,J..'>:J '2. , i.o~ ---!:.i) ,0 Ci' -I~"13
@ @ V' @8 ,'ti- c;, ,'l'L ~1\'2. ~)t-1-.. 1
1\ 6 ,i-\.I H,l-':l . 1:+)\-9 161i- )
N' ~\.o.\-e @ ~3) (1)0 \?Jl Cii) @ ~ (?> i)\1)l (~N,,,,!\,,e) 0,4 \ -1, "),. 1\,'3b - Cl(c..\ -1, Gj l, - \.\12.) -'-1,1'1.. -'V14f{ [hl I~\ tl6,O t- 'ft, I..j 5 "1'1,1.\ S H 101- 1\+, S -t lo}?~ i 0ld't '11- 1 5 2-
( - - \, , 1
N~ ?lo"h 1 G> Œ:> ® ® CD ~) @) (B
nCj [lN,"'I";') - M;I ~ ~ -)9,13 -~'j113 -3b/~'-l -r G":l - 1-,19 -'1-,ot i -tl1i~1
J) l ~N1y.J,\ ",,~,?'') ~ 1 LeD -\-:",4D -T~,7.1 + l.:tj 2. 8 +1& ,+5 t-lE. ,t-S '\T-, tg
N~ l'lo.l--e @' @ @ ~ @ 0 @.-.-
~M~ C~dJ,,,,,I~ -'Q/L5 - 5 O. -5/(,' 1. -b' .ft + 3 ,14 -t 2, ~8 + 21"88 +:'Il~
. 1/
Nf ll<.N 1rJ-.) ;[b,t--~' -t"1 6,4 5 -1.~/-{s 1~ , 't-8' ·rt- 1 ~ 2- -1.6) ss .-1.6 / 8' -6 -11-{8'2..
N° Plo-..~-e ® @ ® t8 @ @ fi) (-ü)-,li e.t l ~N ,"'- j.&J .(. , 4':' t.j:t~ ~ 12,,6 ,t,Lt 4 5/~) iL.;, nO. L,/-ts ritN (hl (~) "-
J\1-)~ ~ "'t I. t 5 11-, ss n/.3~ . 1t-)H 1.~ '~J ·tt', ":j- 6 1.T-/9{,,
N~ Pl,,--~e @ @ ® Qj) fi) @ B Qi)~
V\C{ l'..t>l,,,,, I~) '?, /~ L, .2..;31..\ ;z, /2> lj 3)~ 5 :tIlt 8 "'L 58 '1 j S8 .2.,Y8
, 1'1 l~N l..t) .'" ~,2>5 ",:r,4l< 11:"',44- -'1 F,H -1+- l O' () /1 b) 85 . ~6) 81) --11-1 li'Ol ,
Ex.~'M.p~~ cl....e. ~J..wt PloJe. @ ::::: é ~-t 'N\lJVvt- '1\~ CID '
... 0 ID 8l,'D 0,°·'1552- .. o,o~'i!1-1 M t.t= ~x ~
~ '\. ~
1) '5,\/ krJ '('l'<tn'~ ::- c.c s 5"<;; t )' (,Il:.C1-~ 10 =-,
~+ .. ,
D cll't.., n x l~x1U\) -:. 16J~~~N -:=. \J'tl x ft .::.. ) ~~°,0-;) S5"r Q (\ ~ "13
s ,2.J C ~\. '\J' -t 't '( 0 n co Î\ \ 9, IJ.- 't
S ,'lj ,'in ClV'I\ t.1f,t,:, 'Î 0.. ~UÀ'\ :Mn,
-~-@-- --@+-1-J5~ -\-4-,11-S3)~1 -6~))3
Il" @ l' © ~@nr +1,?L' i ."t 1.. ) 'LD -t 1- ) tl
N -; ,S %1b1' - b"0 1\),3 - f, 5),~1.~J_~~_IL-~_-L_-:"-_..L--:"':""--_I__-:--+
~J"; @ \ ([ilIn(',T. ~,lt+) ·r1.,'tt
(Il -:- 11.3,4 .~'; .- ''l'l.1-,)'il
(f,~
1..)52-
- t':.2) ~ 0
1 l'JO ®" \' _,~ @_. .. '.'.~~_. --=~f?5=~' Cêd=~®"----_I---">--L_i\yt,{'lb2 .:\+-1./S~ """'1,5'/ t-1..,6.'L +1.':)1 -1'-1,31 -ti.,?J1
fi i"':'~~~?l') :-~.1?tj,~~_I.::)/~~~~__=-_~3~)i_ - ~S~)(, -.VIO)O ~.t4.lJ,3l)
M D\"!\ e. Y\t \-0..'1\ ':je.'f\~\ e...\ M~
N° :@,.' ~
~Cf'H:1- 1~ ~ . "\ - 0 1\j 1-
@- O,8~
~- 0 l,3
J
@--'--+- O,D1
t 1 b3 ,DS
t
YT\ C \'YI €N\~ (fV\ ~ cu: l- et 1CG~ 0 y- cl
slk~ ci:: l~ 'fV\. ~ YV\~ cLLS ~QM. ~
..@ @ ~ 1 ~) ,
N° P\C\.\ e @ @ @ ~-t 0 ,~4 -t 0, ott., +0,'33
1---+ ()1~1 +1..,1.') t1..,l,t -ti)IH . +0, ., '3n~ [k\'''ilttî
-S6)0'1- -50,}>Gk "t':) )8 ~ -t 1'Jo )3I.l - ')8}'6 - 56) Ù:}~ C~~ IMt) -+ i~b,% +1.~3) 81
Po-L.0\. t r 0- C V\- ~V) clL a. ~ 'C!.. VY\ f'I\- ~ cl~lct '(YI.0 (l-e \\\'\ e. dtJ) YV\. (l'l'" e,\f\~ ü\.Vl ~.Ji f'<'.. ~;vh4 \..l1Mt<-e rie.- lu. CLcLLle.,
PD.T -e.x 1<.'N\ f Le. l €.J.l ~l~ I"Y\ e,'i\,~ G) ; ® ) ® eA- CID CfYV\- l~ ct [\ b J.e
'â"'cus\f.;i '. cru roe.,. k\~'ù'vt fi,W\.. WI\. tMi 'NI..-e. G.J\. c )- .LM.( f 6I.J.,f\.- h (i1..\.\S~j\.Je ~'"' ","\ t* """1,,. ,l,,-oC~ cm r<cLc~ <!ce cet Q r c "" JW:1- lut'ii°(f- '<\M.-e. c\.~ cm C"M. e.N\t s u,y- c.e s . ele'...m t;,,\.h ~\t. . n -411'-1-'-t)S)-4J54-_4,<'~ D / 0
\.% l (lV\ Q', n, = .... 4 =- ~ )3 ~ 1'\. N\ fY\ Il'<' (
.l ~ ~~
ri -t.u,t .
L0.. "'"~\'V~ '('1\.0.. '{l.(~re ?o\.\.'C O~~'f\i'( ~ e~ÇClrt no'('~\ .....Ir l{. Y\\<!'Ml~.,t~~l ~(
cù~; l. dè~~rQ'M",. et", M('''M",1;,dc 1" cl".llt SClj;
.. ..o
•o
!r
1 .[
--------------------------------
.-
[C\-tl\p\lR.t"til -.CAl [Ill tEs ARMATUREs DE \ tir D&LlE S\\?E"P-\f\\\z€
j,
[ 1
1• j
111
P<:>v.r b \ebc.o.\c.u.\.Il c\lc\.n"Y\.cL~\.\-e CM ~1'eM..~ro. ~t-= 400\l,Po.. ) }c..~Ii':::' 2,S" nPo..
à te.. cllC\.VV\".t.\-re. 1lY\..<l..:,(...~\'V\.oJ ~ CI...~lt0o..t .I<.Jlf ~d cS Q. -1.0 ''fV\.'I''"\ ..
6,1 CAl C.UL Df..s Cep..CES SUPERIE\)RES
Mct :: - b"j ~N\'N 1NIr\~ bu.y Le ~,~ N\\ etr-t (<hL CJ..i",h e c\.I:. \u. ~tl..l( t ï\,lA cr'c~ 1J ') 'N))b::- 1(ce Cw\ à::- -R ., c - <p/2..:= .Lü - '3 -~ = /1-6 / ') (,vY\ ~~ ch \...a. d.a..lL e :: 2.0 eJ;v-.
3
6~x.iO '1. ..= O,'U\ L. O{ '3'32... ~) ~ =- 0) 5001Y1 1x 100 x (1\ 6)3) . L ~ 11 \ \ 1\
aJJR.P.. Ai..~ rM.d"<\ fNv\ V'V~o_~ ao, Jo~~
fOJ\. Dv:h.. A-= M ::: f,':l d03
= 1..-3).5 CJML
~ ct. cr.) O} ~G"ù "f. 1b,3:<. ?>l(J1
g~ ~ 'j:#: 1 ~ I?tl fo...t.~ J.. e. -11 UvVI L ~o iCN'A oY-.~
• Il< "'-;"., UM ...."",..0- <l, - 38, D\ h '" 1".1 p' '-l'P li1"" 'Wc l, t' "",1-< (ld,S~;-~5~ !.""hi) 1f'v'I 3 ~
).L = - )8/ Oe,:dD 0 o.c :l
-= If) ..)"0 <c='O,3':lt ~) ~:2. 0}:1 50\f\,b cl '1. .14 1 .1.. :x..1ou X'ib,1-5
. '> A-::.~-- = ?>~04 d03
_ -b J 'Jc~~~ "fs O/:lSO.x".["tSx31J~ -
~""-~ lt IM.JI""'~\- tcw....-~~ & €AI-~ a: f-t\-,,~ ch~, S f'N\ k ŒMtre lh.. ~ vlJk. en1YVI.e.-\il'Cl ».M..t ,..e..c..\i(}Y\ cl
lCl...c...Lt'r MJ.;N,.. \"v\.o1 e-»:{e I\QAt"e., c.'ilJr iL J.W. (,lt LI S (\'V\ ~ b"M-. k
t-u-Jv\-r-l.l ·'\~(M .. ~LAÀ..t-t ArN~{, =- C\D Jlà bd. -=. 0 2...'3,,< M x ;(OdoV:: 2. 415
&w..\. ,oit. t?.8 1 40"0 1
~:#= b -ۏY'o..L~ d-v..11 ,ur(v L LU U#-- D.\<.. (pa. ... ,"",,-ik~
·6 ~ ç fl L CU1. Des AR t\ IUlIIŒ ') "?- ~tili..LE.~L5..lLP_E_B._\t:\..lll2....
~ ~W Ylr-:: - \C?l~ -tw l'""\ I""J M~ ~'t cL""L 0'f\ t.QM..t lOWÙ~LQ,t ,qlt' lt n\rf\..L~ hw..- -kM~~ L<M.~ s\.~~",- tl&, A-:: ::j-J~<Sx'101 1. ::O/o'LL.O)3q~ ;l. ~=:. 0J~~
-'\\,"/. 'A100)<86 11 S)5 l ,
'+)'li'g.<.'\O _ l..,"D,~,'L $o\r 5 #-6 ~h CLtQ..U k .. 2.0c...I.M...=-) ft;:: ..At: -r v,·, l'e/~ ~ xw 11') l( 2:> US
.2., ,33' sot l- s \,~ r~ <P .ô"",,",," e.\~(ttdu k ,z0e-w
SV1\. NM r-CUi'cN\. c\..e . 1., 11. 61- (r'(I
À -
o,~ CQJcul c~~.s uvee",
~\C{ z: 4 1t i ~N,M IfM~.
}.l -c, ri . _ L.\IHx.105
ifb.b cl 'L/j4,hKO.l(~&)r)7...
ri 4 1t h i03
~ c\ <Ys
. ~ 1l'fi e rjf\lYt?
. .l
VERlf\ CfI-rIDN. SI\WA-NT bE) EII1TS L-IGIIEs
6.6,1. c. 0 m px=e.s li GD c\ù hH-.G::fL
iA", &"i-.t- ~\l.. m~~"..J -€NI c..<ri\~ I\~ =.~~r)I~Y -tl'>l.", i)'\~
-:) 5" -=1100 A -'Lo 0 \( 13) 3S-bd J\uOlc -1-6)3
Ifs - \"\ ~ s, S3 x ~t3- -
$"dA <J/'ô=t 7< -'\6))x ~\3S
/'1 ~ 13}5 CM'1'l.
?' k.=o,OLt3 ~/~·f1-=~gq.6
,(fi+ o-oL e.' ~.A,' o..b:. .
" 40
-)
\'l\-:: ~,41,~N\~fl'M~
~ '1 -::. ioo A _ -iOD X '2. /33 _
1;, c\ -i co , ,\6J&
, 1<;\,44,,-,\0
_ ,\50fC\.- 4 18\lPo..- 1\Î't>::=' \<. \G ==' 0 , 016,.: oU; 1)0:'
e. st Cl.J..~qu.o....te. .
s. ~ ,j,.. 0 u, v e. .. h'Y€ cl e.s fi S l uxes.
Lü ·k~ Sl\V- CI.\i GV\ QI.l\- L{fvV\\ ol~Y'(e UIW\ yv\ e. \-r.ù f ... t'bl,.\. d.ùlQ~ ~e
flr\i't t c\i,~ 0. c..: ~\'" Fe.. E Li 0 har e. l }t ~ u (JO n Pu. d J -e, Lutj clt ~~J Mo..kQ'VI -:: 'l,~
!.-Q c.1JVI.~l-e ok tro.ài C'VI à.e.s o..v-""'t\.-\-uY't~ \-e.:,,-~~lJ..e. 0;, cl<lÏ ~ ~ h:-e. iYJe.'Y'\ eM.,( CLlL
\'y\i 'l\i '<VI.L\Y"\ àe. 0) s~ à -11. 0 ~ J)U\A( (/Y\. 0- : \f"s L 1.:t-t n Po-
~,5,U ?ov....... ~e.D ct'rCV":> s\..l~e\""";0--\Y<ùJ
Dq-= - '~S)(;3 Kl'J.""/'fI't
\'1\ _ Y5 10 x 1.01
b cl. ?, x \f5 1\o-ù x0b~3 ) 1.. x 1H=) ~1-= 085 t [ -t,\-\<'-=.Op52.'
-= "\ &) b ... ~'i, '> 1~) ') S 0"" l"~1 '\ '2 cD 1Ll('\'V\"-1
e.:: 9VN\ '\>.1-\'t 1.~~~
'ifb =: k ():> :: 0) 0 '5 2. x "\H -z: 3'1 1'S L Il Po.. <C-
À1 -= .... lV\ _ 45, (~ "f.. '\ D~~~ "crS O)~54 x H ,"':> li: 11-f)
0,1<
o,0 D" ":> t -==)
ttN·w.lfM~=' é,Sx10 3 _
l '-".(YUx 86,+) x'l1--(,
O,o1s><~1{,::: 2/bL•.f\V" c, 'Jb="\sn~,,- o.s- ç,,')>('\()~ :;::.. l13{; VvV\7. > 1..) 40 (N<'.I...
(il~n d~ l't x \t~ .(JV\. "-, Cj '00 rrÛ ~ 6 Q. z: -11. v""'- .L t \J ~ O\Z (tl\.U-. ~~ ~e.1) 'f'M,,1..\vr:L")
Mn.-::: -bIS
l'IIJc\\ -c. ---
b cl ', <fs
if'o z: k ôs :::
PtF _\'1\_~1 Q~
<l\ (j\f. <.
O,K
1'( lN\..:
• _: I. (.
ç,. 'S. '1 l:) YOW( \e.S armnh"fes {Q 6\C\,les \nfe\'u:.llY'e.S
Mf'.::' ':)/44 ~N,,,,, IIVY\~3
)\A 1 :: M _ 'j,~l.4X'tO -= 0)01 ,\g -=-) ~,,::: o)&~3
bl\'l. % '\ûü x~(;;,bx'\tû
If'0 ::: \< <fs :::: a} 0 5'j d 1-~ <:: .Ac 0) 3 &\\ Po. ~ i 5 Iï?... ::=. Cf\:,
Â'L.:;'!"\ - '3)44 x'\ 01
h >.. c\ 'if.> 0, li 4':, x '\ 6/.b d'tt>
Mo\1;lJ\ ~-* ~M.\"A e,.~(.lte.l.H\e '~5~.~ ~'. o\i<J..N'{(Q;~·~' (", (, (yl\ '1; .:. , .. ,,' \.1
;." '''. . '. ".' V,l )
M~ = 3,4-b npCI.1
M3,ltL:. -1 0)\A.1. '::: -----
\,6.'/. (fs .l\O-Ûx~6,1)\'1~
Ub -::. k Cf') ~ 6 f 011>< HE> :: -i l '3l( n y,,- L. Clb .;:'
'3') 1 4 ~ do-------
11:) IL 'PC<. o.k
(,,'::l,'i,y ~R\F1CBTI()N 'kitS E.SPI1ClO:DENT.s
lo. eU.s \-wv, ll? -€.M'Tv-. t Clxe cl~ C\.V"/'i\. ct,hAr v c\1\AM t l'{'I\i 'M ~ JY\..(l,?p e c~cr\ t ~-he.
'. ~ 0: J.. 1) (){Y\ ~l::: 0.. ilS ~ J. {V\ C. Q .10 UM. ~,F i. 1.} 5", ~ 6 ::.. '3 0 (;lM •
Ct\t-t. '/''ë.-~ .ul~ ~Y\ h~ If ~V \-c.\. \.1) . J..v:> tJl \,0-..Cl0"i'N ~.i''''''\ .
,. 5.3 lay, %\\~ lit de àhe\Q vre'm~Y\\Ù \C)..'ù...~\A:NL de 'CR c.()u'iX'eme'i\'\
(, S ,~, '\ lQy\ÙU.e.I~e ~Q" d"'_ppe'YI~'I\\ ?Q u.r Q,Y' 1"'1 o.J~\("tA i Y> ter h·t,\.\ yQ)j Y'o..cLI'et.le;)
CoV'n-l'<\'<. \~ 'fI\Qm'<.~\\ -lM \Yto.\I'~~ SI Q,.N\.V\\I.~€.. 0.. ~ {6 ') /YV\ ok QlAfY'e. c\e.ln clo..lLe. d<i\üLe.. \.Il'" ~ ""VJ. y \-0~ PWo.. \.0-. '\.\1--& \.Q.o ba.V'~ ~:r" vtJV\.1r ~ H. ri l'I,o.A\.L% ~ 1- i ~ al ~ 4-
v., 1 6 ~ 'M...... OIS :::. 4-) '\ 3 IVYI. • b (/VI. <... rfY>. o.;V\. ~ h. l CI. """-~ (;t ~~ b 0JYû.D ô: ctJh AA ~(I.M u..l ô 4 ,{, 3 J..... QN\\rt) ~ ~t wh I(pI-1""-crZlM~ ~v.fl ~{ON:. c.~k\..
-i
L-_---------------l
{" S,~,'t L6"'-")\..LeMY' Ce c\e..ve\a~glYl~'f\[ pm,\)'" ~ Ç\rj)W\u'('~SI\?~'f'\U\'f-v, 'CQC\ic\~D
tk. rm1'<"\ ~ G. I\'Vl('/'V\.QN\)T '(" Q cI-L a..l D(0..)\ ~J.e.. ëî·. 5 , 3~ "lV\. clu.. ~~ cl lY'-l ~ Cl lM~
to~cl..~ JJ. ,fll~(\dihM=- 5i).t-O/:):::
l.j)~2- !YV\ '.
hi.'N\\ rM c.\.Ai\ê..'n ~~. '(\1\ ",li. e.1
c~eJl bo.r-r--v::. 0:. l., J &,t f'M cl",- UM\Yt. ~J- \..ICJ...A-lh-€.
\YI.. <r\ \':{ E':l\- ~Y' Il lcM.~ e.. ~ lAJ~qu.' o.:.u. c. t.V\ h-t
~ou.r lw ~u. 'f';tD 0\.11. 'c\J::: 1\ li lM '"
PO'V",V' b bCl l'~ à e. <p ==' 6 IN.."J\
cD:::&"'AWIcl> ~ l.tô0 VVI VI",
asr c\.~ Ly- -:: 40 ~ '" ' , ..
g01 ~ L.... -::: Lta>:' 14 '. ::. 560 V"\ ""
l'r ~ 40 le (, "" W\ ::. t \.to VV\ ""'
LV' ~ 4h 8 'MM. -z:" 3,tovvt\VL- -::: 40 x /t0",,-'M =- 'koo 'M"'"
LIe. .ç~o r \- \-v- Oc'\\. c"-o-.,"'1 '(VUl..i-- -=1'1- 1~ ~ N1If'\.~
'\ r =: 111-/:1 ~\'J IW\.~
t: 'f\ rp 'Ît 'l\ (>,;VJ- cl.!'''!:. \, OJy\C~t J-t1 M clIO '-0. r(fMY"
Le.. CCJ'V\\r- cCl '1\te. to.M~t e... bu. =: ."J'"bo c\
~) \Ytmu.;., -= ,friC} ~\'L
\j IL '=- "n· l ':if:!..N
'"
CI.\" ri\. CI. \-v.. Y'{. 1'(' 0..'() S V t-r Î 0-.\ t '(\ 1 tAr le.q, \.AA s-e
o ...., 0 8 nP(). _ o,Jo r-j1
z:
3"" ~ xie
1.0 GO i<: U6
CO\'ilI'<\I ,,10""- ~~ 6..o...\'\{b Ov\.lL\.,U'I\<1.
~\A.D.. '1\6 l'M.. 4. 0 1 Ü 5 ~ c t~ ::: DI 0 S x. "2... 5 :::. 1\., 2. 5 nF0.. ?
/'(\ ~" i 'N,\ t.'th <>.. ~ oJ) ~' <A y-m o,~ 'l'lP tv-- o.VI. ni t dt>.\~ , ' .
b, ".:> • ç, '\J E p.,\ F! C R "1\ f;l \::.\ DE 1 AFp... AG \ \ !.,. F
.(. lc, t1 . "\5 2-\oh, Ci: v\ S &.L la. ~\. ~.x.~ QV\ (JYè c\..(J\ C o..\['o \ \" A), D/1 ') ~ bç\ .= 0) t;, K -' -'" 10 x '\ U'1l ':,., l J'" Cw\ÇLlli"Or~Lt.t. '"
lu> Se.c...\:t(JV.J) AI <l.-c..L~X h-O"\A.I'[·u ,\,M '('o\.~IY-~ li..V\.iCLlrtA SW\it :;> .2.,4~sc,w1. &av-..t \.0.. !,,~ "'\l.1\-fG\l.l~ 1"1>. "\: "l.. .
DEIERMINt\"1\Ob DES f1Bl"1ATl1R.ES DE LA CUVE
1- \ '\. CH-L[\\L Dt \ )j SH1\ON ()ES CERCES
'Ir1<1
J
le-o ~'l\é ra..\-r-\' LU
H~-~) d~
s~ 0\ tô0\
~ c\ i rI' (tL~ St-Ù. \lo..M-t
-?d.s
Pre.\'\o\'\s \A'(\ ùe\'YI~V'\r \V\~\\'\\\-e'ç;vY\C\\. cllA T-'fDV\C c\.~ l~~.
Scrit'VI.t C\S ~J i Le-s c\.~VV\V1\Si DYIS d..e..- c.d ÜiYVI.0\'\~.
l' ~\e\'Y\t'i\~ t-'>r Scu..mi S à. ~Cl ~NSS\ 0 'ri de. l(e..CLU. eJ ~ SCM p(ri~ pY'tf\"'("\' -:.- ?res~i~ cll\..t 0:. L'-e.-ew OJJ- C(.N'\,~t d.~ LI ~ll\'V\e.'nt dt LO\l'f'tl!lY\'I\/~ Xl vr- ;. d.QYcc. ~ -:: S ( ~ - G~ î Sen r- pCu\.Y- li ~\~ m~} UMe toree 6..t'- : f ds x1 :: ~ Lt -~_) cls
~~ e ta ne.. c\.{CIT'IV\ pC>J~~ de.~ <M.r
- toI' ce. h DV-l)(JY\kle ~ 91:: f cts _SIM 0(
À \..o.. to y-l ~ q'\ CC rr-e.s; r0 '>"- C\.,.... e, WV\
eH-o'Î t <le. -\-.CL(.\i \">' c\.Cl'Nl \<21) CC:r-t~
à\..\. tx-- (JY\. t c\.e, c~ e. ~\~ ffi eY\\-0.'\n ~.
dF'i :: q'\ lRt:(J
df ~ ::. ~ (~ - ~1 (\( + $) cl'àfJÎM'?.(}",
\ r cl \ (-v\- L", ~ '('Le. t\ Ovv-.--e ~ \ o, ~ OIA SH_e e.. l t'..QU
t-\ Il' eH r CSOJ'/\\ HA:'" \-o\A.:t t) ~V) c.e.r ces c\ L
L. p~~~7.tr""o ~l ~"' )t :~ol;_~\""C\:~'~ î àc" c --::...~,t__ (R (~~~j_~ + \ ) h~Jft, - j 0. F~ -.~ ~ J t-~ dx IJ\fVlO\. Ld'> 0\ 'j
o sV'/\ 0( ô
Lo_ tCJY'U_ Cl. à.onn"-Y'(,. pour \ le.. tY"'bY\.c. . de.. c...6Yl€ ~\~'IY\~>\~t\.iY'~ dl Qra~ clsJ
\AN\ e. thy-~ d.t- c.UW\ V'l'e.s ~\ G'I\ cl. C1.- -= .tu (R -t-:C) M..::: 2..\ff [R -~) (1\ + -tao:.) dur
L n \' S 'l r _\ . - \ ~ Cl. ~ o\Îvl C(. bA-O(o. '\-0 Y' c.e., 0.:e, ûJ"'V\p...--e.s (JV\ '--'L \;VJ'-'e. o, \-0... ~ o \.A. S 5-e,€ \." V
LI e..CJ.M. -e,,\- i ~x~Y ~Q\,\'r S \Ar LI ~sf.Nv'l b\~ ~ 1-v--an( d.-t.. c..~Y'lt S-v.À-\Ï'OJv\T la..
\..:t. \0' 0. ~'\'\ t-ro..,"",i c..e. S 0. Il 0 \.À.1" \Îo--~ wy-- ,ex \ v--e..t \ 1'/1 (). V-J Il t \ .
4- = ,1..\1) \ ba ~ (~_ ~ Î \ ~ -\-~~ \ cl~~v.-oÙ~O( . )û .
C1.. =- .t\H ~
d.~ fetrrZ l ~G1~ d.t \..1em.cW~ Îl'\.lb)
-\-oree. fYY\cls c\e'CC\'l'i\rOJo..'o\~ ~
e E~hJ;-- k p~do 1r\)pV'€..
S~ \-- (f'(\'...-t {. ~ci ~ d.u.. /'lY\""i I-r--t ct\Y't'~
h \À,Y' ~ 1~\.~ yY\~..,.J-- c\.s xi (sY\ Q..I.À \" 0.. lAJ'{\ e..
q'l.. vt C1 CqWVYY\t ~-r-[e..-tc~e.VV\'('l\~y\~
IlY\ds l' _ IY'I\.dsql --= e.r /~ - -t () '" lJWI 0<,
t. Y' .DvJ.\JOJ'I\:t- lo.. J'iV\~ 'N\.~ If r- 0 c. {,. v\u"'(" e '1 \Ae
CM \,I) .....'J(. que ~O- ft, r-e e. cle. ho. c.t. lM ~a. V\ 5
eo~', f ~ = tm.~ ( R -t- t)/J--..,.,.. 0<.
pôL\.y l-e.. cCV) d. e li«,c.ti. {Y\ . cle t (e...o..,u,\ .
l--o-u..\~ \ VI ce ...--t,v.:, Ae. ~0.. CAA.y--l(
e) '--0. tu....- \..~ ~z c..\f'N\fl't...i.Si c»; Ct.. clu...~ 6.u..A ~ lf\' <la rr-0~--r-e c\.t ~C\.. rClV'tl·eT-r-CM e..avv\'1 \.l~ ~\-: C,'L::: .tïT f'N\ II R -\- t/z..)
IJVV\~ t.\J'C 0<
Lu. .fune A.e. 1-ro.e..-t\ MF e'.~~\i\rt.'~ ?o-r ~tD c.nc.es·d't ~(.\ ro.'("t~€. h---MLO">\.LqLte.
~r CI- ~o\,\.-, "\fCl-\..~.\.vr:
1
CA \- c.\.. IYY\ YHèe ya.. Y' L0.. r e.lC\..t (av.
r--~--.
A- F
l ,n ~1. 'M e fi 9 \,L~ :
,\.. \
.. V ERIF=\Cf\IlP'" Sl\\VAtL1 LES ETA-TS LIMITES (OUVERIl'R.~ DES. FISSLIRES)
C Ci'IY\ 'IV\. t. ~G\.. \~l S~ tA Y" ""Ii (V\ QAt
A(;(; €l :otox1() -2 3=1- 86'Vvv\.t
- - ,1,- ,,'H '
, '" ,
• VEBIEICAII0t4 DE LA FP-AC2ILITF .-
"-\ VI> Ci: 'h~ cl.e \..o.t;CLé.U \lv'. N B - 2,1 " 'IS.><-1fU == t-, 8'lS c.;w..":: :<é 'Yf J8~'cL'l-, O.\:' , ,:j-t - Ltn> .. 1 ., ",C"" '\
r 1 'l- '\. Ic'b)\J.'J €Î IIi.> &.t \.0. ,.\.e'<.lOV\:' o';n 1\:\ ~ -::. OJD ~ k » .-\5,,'\0'0 -== 1., U0M c "J\ l~~t.w' 0 l'
~t- !,û1)
AdV\-L ~R,D,:0è:.~"","\'~~e. /n.;x- "v'-,o.o ~'\.O-~~,, .. \ ' .
e ,p,. \::. PFI BoTI J"101'\ 1>10 S CE Ret,':, , '. ",' l' ";'F Il.
(0""""~ lo.' ~O'i't Q ch \t-cuX\ 0\, VI' -toI- fOJ\ v..v-.\.t,l'M t S ~I: ~h ~ 0, \~ a.~1.\·ewr .., l''~' ro..Y' ~-~OV\à.Lh o...-m~\-vW~ H hrt>. ,VY\.c..~t~L~oJJ: ~t ~'f't &.e.,'oo..'I't~.,o..OJVJ:l~\c.~o..:~tvl.'~.Yl~~à.~ ~u.\~9..w. ~~'.i ,~(cU.~'.,~,.V~~Oi.tLCIv'<A~l~~~tl~'J 'J 1
À.tt d..':1.I..ISo,. =.,~~,~
-Ô»
,\. ,
, .
fr't L~\ - (/\~) 'j~~ 2> -\- ,\l( ~ ~ t ~ iD,'\.. 2. 5 ~'\\ x -'lO-~ ~1..1
.L.---:---:- -----------~I. _
1hn"r,",(~\ [.) 1"-", 2.. ü.w. Jl~ 4' """ m. <Vl
) ecH '" cl: ~ 'U· L~/+o '3} 4 € 2.1.,Lt8 3CJ j8G
torf<Jp..t""\r ~.: ll'" )
Le 1Y\()W\\ry"~ c\e. Ioo.rres d.CVAD t~ ~A(;'. fVY..ih
c>J~ e, ( f\::- ))e.c.li <M c\' lAMe bo..v-re Je ~ g ')
le N\ 0"'\ ~yt cl ~ ~ Clv« tI) ct.QJVv:J l t t tMA.e. ryv.,~~
Le. VI. tNV\ ~ Y'e 6...e, bur~ c\ C'J'.t.J'i l e. 1" t "" e ~è~
1'(1 1. _
~ 14 b - :i I-=tO
0) S C.3
'e' L 1'~. \ ,~~ e..
A- -;;;. _1"\__
P cl 'il rt.o
. Jf,J b dO
0/;\82.- X '\'\, ~ x 3 ltg
~----_:'-"_---------r-------=-= I
. Ii
.. VERIFie I}TIQb S\\\VAN"T___ LE:2 FIAJ s L tl)ITES
i~
rtpl L-r.1l'
i1
O)OO~1}_ • -=) ~.p_ O/'J 1-5
i'011 y 4 -=-')11 ~,,::, 0}03$
il
"_ 28D)Q·\\fo.i'
() LI, \1 er b y.~ des -b 55 Ll:e.u...
511 x10'5
s~t- ~ bO-V"('ù) ~ 8 f cv\'" VV'te =: 16 (J./o J... '2..0 C;.M ù.k
Cll"\-l CLl Cl ~ kr b \ 0-'(Ytb cP & f 0.A vW.\1'1' k lll.A-~\Y- Q., ~..; 1...6 0Yv\
) Ll'r. . \A(A. cl l O_lM. t~ o\.e.. b l'N\. -. '
l:t rvvt.1'M-~ 'f Qclt~ dOJ'/'- wJ-e. Ci. '1- \l- & ('('l'v " 0.. ~ (.\y'"y <\.~ ~t'-- à.c\.\~~ c~e. ~G'I'-~ ", '. . . )
l,« L,",~ -\<>luh '-vA L,~ k \,<)JV\lJl b. '" \)W\~ '.1« o\,,,,J. ~ré"QAt ~~o.h Q., l~' (<M~v-R.MJ'- kl-~ cm~ 111-~rM .~ ~i.t &}y~ ., i-,H =. 0 ;i1W1
L~ 'NI &Ztl d.". ü\v>"ooJlNJi w 0-' oJ\A.t\~~ s. 0 (1'1. 'M Ci. , fOJLt~c\.~ lcwJ (lG"\~Clr5 ~~~~e.6\A.~~Y\~ _WI.Tt}")t ().).À\"I"'t 'fY\~\\ ~ s-u. C\r·oL(f"l\..~ tou..\- ew· 9.fv\..~ c\J.. ~o. w.u-€..
,Ô'/\ o, ô..D~~C \.Q."M ~ V'<\ 1: Ft\À.l.CL~Q. \' Ô\M... t~ cité J2X\.t Y\ ~v\. .. ~Qj\ ~ t'M.a'oM~'t\J 6'"I(J 'M.O- x\ """à Q..I\ pLv\:,
tj.~ '. ~ .0 CQIy\ \2('1:.'15\ DY\ 01.1 b~n~::,-SJ1 ~N lM IfYI'-~ ,
'~ ~ .:'\00 A _ Il 00 X. \.., 6~
"0 ct 100.>< J\~J-b , -
\fs~ \'v\ _ 5 11l( (()'3
.~-\d.f\
\f v, =, k rT's _ 0 JI " Q 0 6"'J \J 1 10 .16 )(. '- o 1 T = \.t) ~
\lE RW\G.A3'\Ot'I DI:S F:;c;,f'AC.t.\'I\pK IS
':'\~ ~ €A ~Oet~~\Â' ~cM,\- lV\r.(y\~UJ\)) ~ 'iro CMto. 1". r-o rA'" '- C\~l- kd\-j
8,\ LCL c~e.~\\~ h"'o.v-eÙ.L~€.. '<!VI CClYVIfrcssiOV' ;:'
k. ~ o,»,h-l-\.Y d' ~Q\À ~f-. i'}Cll~ ~ ?';5 rM. ) 11\",- 'Î~'M d.L ~Q L\.e. mine1 -= JL =. °1S fY\I1
i, ~OVc5S~e- b\-<A..~e. SV.Y-- l4 to..u.t~r { VI \- :~'ôo..~ él cr = \tt tI?--t- L(e.-t~o ..t d..e. (C!W\.\",e.SSI'(j'.\ ·Corre-.l~W\..(,l~~ Il \=-=. Q'r-=. 'i~'2.....r:.
"(':...~U\'~ \)olu.~qu..e..(h. l/tCU-l frIse le...\. ~~A 0.. -1..00crtNI~'2...
N\5\).J'> -l""u~ le- tro-'v-w.\ cÎ..%. QcLe.Y' ~ Irn.l~ [0 r- D...A10 'fi \ • L-. 1. • J., \1, • H, L J => If< ) '1 .J J . d'V'O W\..",Ji ~ ïV't~U.U-l t.lo..l\~
1) .= Co é~~i c\,~\- ch ~\ s~ I..\.'Q\1 0'1\ = 1.. J -6
Prc.(q..- fe. E 4Dhgp-e.. t ---} f = 4:oonYo.. ë.:_) <Jo. .:... ~\D/~)<.4.Œû J 11D)( {) ;) -=.. n~nrC\..
L. in\i "" \.w... .' oc ro.o,~~'" cl ~"""') (6 40, f "'" "'""~ 0: cclte !c~t< V>r~I~ ~ . A =- f -::. o~\- ':c. {O,OD'O ",13;sl,1"" 0)5 :..10 4 ':::: :1
1
1-L( \J'rv\,'l
.. cr~ J.- cr~ :t}( '\=t-~ x 10-{;
S~ \- If? \,~ l'V-e.o cP {, w\ '/YI ,
?, '2.. VE R\~\( A]" \ Qt-\
\ \ fi0..) C0 V\"\~ rU ~ \' (J'Y\. (NLl 0 e. ïC)'<'
'J"b_'i ~.O,qC'L.g -=. 1'5nPe>..
'l .' . \ \ 1 ri rr f .1'~'LY'CA. Uw\ f 're.s~ \ a-o; 0e0J0lV) . \.J(,. b e, tqy-. - \J oh '=' _ -e, __
'2.. -::. ~ \7ol&H..ux- Ô&... lo.- C~ e.'M-l Y\ U. '0. \~"'" e -\\. ~e h
\fi) <.. ~~\ d.~L \Q. 'oü qv\ r~\- 'rt.''l.. .s\-v-· ~V' il"M.c~t'0l\.Wv\- ;:- ll'e.Ha-y1- c\~ ((/V\ArYVnilV'
hl \/f'RIFICfrT\Of'\ $\\\I/&H,:r 1 t\ f\~Su.E...B:..T\QN
Lv. SU\i. If\'. &.1 CLU.-€y u..t...ll~ ~ou:y· C\,Y', ,«,-e\"'" lo.. c..~e.. 'IY\\ V\~. HY'o. r\.u"h;\+ d,Q..) ti V\~~
0: lCl'M.'b CL~n \11.. ":""'Cl;.\- ù ë. v'v\. r~ (h t Y' lo... ~i} 1\Àr-o.-h f'/\ q-u. '». OJ\J lA Y'Z v- La..'fee s\ st-o...,,(Jl. ~"G ?\"{ YY\~'Y\t· C'~~h. : .:~ (D..~\"Q:i, V(Art- c\e A. 4 , s. 'l,?> ( CCAJ) o~ \0 h 10\.\'fCl,1; c.f\rI. eA1- \()r{ Ô'V- oIJ CLQ\ l~) c1.J... \) l'1\J )
('" l 1.' A -l \Iù; f 0 .. u. VV\ eN\.rc A~ C\'f' YY\ CÀ. hAV' Vl à VJV\. ~ «<s: V'f\.J.. ,~Q~ Pt ~ '1 .~. f W\..O €.~I~) Cl
L I kL -t 1. 'v \ e..\Ar s. s \.lÀ\f~~ " .2.. 5 C/VV\ à ~ ~ (~~~~q"i\~ \ q> (lM-\-t.wI..I~ àJ. .t~r)0.. ~\.U.D p~\lI (.U'..1) Q.. U l, Il. .. ,
\ L..' \ ~ 0 ~~Y'pJ..\l(UllJ1. ~ou.r ~t trO'V..- à..e.. La. o.a..\.\.lL nW/Je.)(\;~~ ~N' ~ .~ ,C>...o--.() ~ \,\(..'{"p. \~ \['<\.'Uf"' ~. Il \ .' , \
':, 1 . ~ t~ ~ ~\ 0.\ Q.c-\.fc\Ç,.y-~ .,~ ~0-. It\.v.. l'i~ \f7'O'1Î 1. ' ,
Il
\ -
ÜY\. Qcc\o ~\t \.À.V\. e.~ r<A.-tt 'M ~"\tÀe ~,'6 0v' ,{)JJ't c, c.~_ 'G.J\.~ ~ 6 'NI '(VI
\)\IV\(. (t\I\. CUA,\'-~ <ho C~)I"UI\ c\:> S \v\ \'YI WK.L e. =<'\.~, (NY\ SGl t .DN\~ ~~cll \TV\
10~ <h ~ ~"A ~ rte =- t\ ><. ~t _ ',ltiS x 0JL~3 _ 6 S) '2.o V\ ~ . 1\-'6 -) Cw'\
t\= ~GU..I.~6\-ili.~ lC\. C~twu.~ ,
lei) O-'I"Y\.",k\'"tD d-.t y-~( f o.;{'~ \l rrv-M-Y'o -c: t cNfh tv.~ ~OJY ~.~C\'Y~ ck Ge ~ bMWI
~ o, ~ 0 ~ \ t y- CI. lt!'M:'\'fI. J..- tA ~ C\.~t'l\.,~ 04. H,~
L~ N\. (j'IV\\ ~ et e, '., CI.Y'rtcI -::. .Tf " ZV' -:;. TI )(.h0)53.~ ~O ~ 0.. r- rt[)
e~ 0IW - . ,
i., t'i\.~ti.~ thD~a.v~ /l~"ci. CÀ.r-r~}tl ~ ('MÙM~ J- ~ (().)J.îY.t l'M- v\ ~ e rIo lM-~I( iUDq-tio..u.. ~QJ.). 0"" CUÀV'o... à.1fV\( !t6 ,,"i1\\"rtA eN. lMÙ\A.W,.M 4 (1.5 rN>- ..d---. tlD o.M~ eÀ1. l",,'ô-u.wJv 4-) 15 = ~ J 0 ~ fVY\
2..-
clt. r e. cOV-.. \fT~'M {MI\- et tIJ c.e.'( t.Q)') ~\- ~-'Zl~ 0.
r
J
~ 1 ~ CQ\Cil \ dt' S Qy- m Cl \-c,res c.\e. \ CI d.o'\\~ à~ t-<N\clY?\0 Yl ~heY-)
Le CG'f'h,ct UvWf- - cl..-Cl\\t Je ~tIv\(\ ,tOI('N\.~ l\JV\ 'olôc h'èb ~~'~\à-~\€.6 X'n,.~~ t~~~\t,\ e,r ,'Ç~~~'1'}.t OJ-.\.,~t,,~OJI.l Ae. èe. c.OV\\-a...c..-\:- eo~ \v.~ F-u;~lt d.M.C
\ ~ )
La. <'~c.\W{\ d.~ bé~ cle. ~o.. clo.\le. ?tLl \- Y'{sld·~r éi.. ~Jle. -'fY\-tM-e.· 0- U.1J d~clff; ,
?Clr ~<rMi.~.JJ..~'t ~o.. S'k.C.tLttv\ ~I(}..cil?.'r ~/(f'II,o...d-.a~\t\"Çl ~r(J.. ~L,s-t ',iY\.M fCtS
jJ0ù." Ov<.\..~V'f\~\"Ite.:r lOe Y'f.~i-sl-Q-M.c..e VY\.cV:;, rou.r C{NI"\bcJh--e le.. '("e..tv-cu:.~ et le.. ~Lu..0-~
CG~~ ~ctQVI àl QcLcy- ~V'o... UJV\.e. J~Ct.M (YV\.lY\.Ùy\..J..e~,·
'~l-W, \JJi\. rM.~\-'-t, ~~ lQ'r"r~ ~C\ Jà-LC\~<M {YYo.ÂYlvi. VV\.c.L~~. ct t o..c.Ù.Î ô:. 'Me..hn Q.sr
.e-~ C\..~e.. Œ.. A'MW == 0) t b~ _ ~ CJrI'.'L ISVJ AvY-\J.A -=-. 8', \ .Dt~ ') == 111)1 C./Mt
~~ ~~
,~,~~ '.. S.t ~ (;w\L .eJ/I ~o-.uX .~ I_~/ ~ w,.1. ~ \oCV\ '
~à.M)\-t.y- 1 • '1-'t ~ bCI.Y"f'th ,..h. 2 "b __ 1 c; ""'" r ~ \_'\r \..j/"<C, 'd \J'O- é. 2oUV'tI. -0,1<: \/JL\.Y- '.!-\'Vo'['\(\'...)
'è .?, , 'L \1 li r \ ~ c. C'- \\ q'{\. d..~ lG\. {.- 0.- ~ li. L~0 , 0 o "Î- '0 ~ -= () 1 0 Cl i x t 0 0 x' !.{ 0 .::.. Li, VVv1'1. <::. 1A0 .. 01N\?
À~c le<. s-tetc (fV\ M' U \- f C\..i? r-o.... r ~e ,
~\4 Co...\J cl~ C\.'('VV\o.\;·WrU 'r~c\\o..\U
(\:J., C\.1'"' 'm 0..t-v- Y'~ . 'f" 0-cUuJ~ <;.t-y-~ V' (J"I\r dl Q" ~ u,~ 'l'{D cL~ -c- t. ~o. 'f ~'l ~\ av. 1 ~<N.IJ
p'<-tfot\..\J'I\h ~o. \Fctle....u...y- ~ y- ~~\-Q.#. clu.. 'Y3 cle.l..o- S-t c....U~ Ji o..e.t ev ,t-r C"vvvl.Q.
A ::- 1. x 4- 1. 12.. =- ~ ,l- 4 Ci'fl"1. . s~t 5 la Cly" \'"'€J:I cle.. èP -;;. 1. 0 pM cyv-tC I.-I/VI
1 ') \.....1. ·QO , __, ev»: L€... oU WM~11-t .e.><.~~v\ ev.A..,..~ \" 0.. Le....'IY\..v-tv\ ()\..e.. oL v~"'
, \
0\"(1 fil €..::: 2.0 U.M .
r '""" ~",?>, '1..$ ....
'.
~""",[ .l l. '!' i
1
,
l ~, ..i Il! 1 1
. \ .. 1 l 'LL]ll ~i~,,'
1 c..erceJ) cP 3 e.:"= 10c,'M,.
51.
SCHEMA D~ fERRAILlAGE DE LAIUPE·
!
DE. S \G N. I>t. L ft CE \ \'\ T~\REs LI!) PO J E fit LI X
C1Q./)\- l.lY\~ ~ov-h(c\e. SO.'I<!60 CJW\l, c\.~ lOut(M.
l,
S,<fV\ Y'Q'ô QV\ 11<. -= t\... 1 E, LS {YY\:::.
NO'N\ 1-:> 'rt. d.. e.. \"' 0 h.CUAX ~ u..f' te.J.l ~ \}.~\. ::, ft. ~l ~ re: e.-~ 0 H. -::. 4-
~'c~~r'ù' l~r fot~<c" = Ij~ ~L f" :C~~~~ lokl. "~é"QMt 'UT \. ~O"1i-t. -\5~QpY'~ Le. \.\\)r~ C2...o..lwJ. ~~ \ft'(\\·'c.é- d
\\. l'A eo 0 u..V 1"0.. G\..QJl \ 1 1 (
. P \ E?-.REt'ri.1\- <"'-R.0 N (fI"\ 0.. ( (J - eM '0-t t-ov- CI V'W\ ~ A.:~
• 1" -=- 1 ~ eH-a r+ +rC\M.c..\co..vt~ ynO-X('M..u.~6> \1 0'1'1\ eN'vt 6-t tee.:le\ M :
\. 1 -t~ ~ IY'o,.lltt. 11 -:: 0 01':l-6~ f
. ) ri-- ~\.x. CL~~wÀ \1- -= 0
10'64 1\ S Pf\.-
.. n. !'M~'\II;'I c'-e. I-o'r ~.; VV\ {IV\ ~)(,\\VV'0..\ -::: nt--=-. 0) 00 S 3 0 f .n,
"So +,3 ~N
2- ~ / 3 kW~:n lN~(J6 ~N
~15{ry
'15 (fi) ~~
"! --
Lo- c."'o..v'r~Q ~t.k ~().,,-A~"-:~ ~-~ lO-- L-~~~'{ eAl- ~O~ c
~ --:- ·1.:I\?l S :< ~'S 4 o.),{, -==. ~ 4 :?> o %. N
c\<N\.\..\ -:::: ?, ~ ~ 0 -::. ~ 2.8 ]15 'l\\!3
\\ -T -=- ~g;,z ~W l 'V1
\\ ~ -.:: _-'\ ~ Cl 1~ ~ \\l \ l'I\
Il t-:: ~ ':) 1 S \l ~~ 1 T\i\
~- nt- -=. <68jt lN,,,,,
G> 1.- -=- "li 'M. 'M 51J 1. b rYV\ 'M.
tGY\\"'C) \0 Q ~ :: 3 0 tr« I\f,
)A 7::. ~----__
\fb ' '0 ~ 'l,
-:) ~ -e, 0/lt8
-= t;} 0 G~ ~1. su-: t 4· ~ 14 ...;, ft z: ~} Vw\""
ç BLel" L DF! ft-ç.lêRs s LIPE.81t:Iv\R 1,
.1-: 501) -)o~ -1~-1l.:: Sl'l'" c."'~ - 1\ ,.J... "1[.1 , v • Q. f'n t r - YJ -c, Z. MY\.\...
)A. -::
J42-g,T5,.JO
500 x 5+tl
S.3 .. CB\ CI~\. llfS '1.\'R\F.I3.-S
Vu.'=,I-;:, 4.-t8,+s~\'--J
\lu
\:, o J.
7:v. Lf'r'I\w- ( 0, 'ta ~ t't l' ) ') 1 () f\.\)oJ -=- C2.. I S; '3 \1 Pc» =' Li '511 P<\. ~~~:~It\lM\,<,Li~ lt~~\t) 'J
\Q1J 0-., YV\.()J-\f'S-~ à' ~'M.e. - ,sN'v\- d-.~ (\'f' V\\.Llk\'\v. ch·d"lM
?r w.. ('(\j). ~ t::: i).;z, l'N\ 'N\ =-> A- t :::: ::J. 'X 1ï G>tL -=- ~~ \\ l -1l)L. _ '2:6~J L'NI. If"\
Lj ~\
.S~ .
bu - OJ1 J-t ~ ~
o /8 ~.t
'.
="J Û<:.Mt\.=- 0 ~::,
0/6 gt A-tr
(}~~l fV\1 J\lV\rU),I
"o1 ~)I. '-lllO.x 262..; 1.
-56l)x (1/S6l\"" - ~,ht,1-\(1).
V.E RI El CftTlàN DF> e:~ PI+(EME:'NIL
SGD x 0 1-5 n1
- 16 - 5 )~1'v\'v\.- - -) .,~
I\V\. V\\. -=- C""tJ t'\.'li\.V'V\.
~t' :::~.t~M>.~L,. 3
SI;- ?;. ;\~ q, L ~ -15)(1.{,
o
r; ~ t- L. f\r,q..~", (0 l "?J c\ ; 4 M 1v\ lV\) -=(\Y\W. (()) c; x 5.:t-() .; \.{ ~) -=: V; GD 'N\ W\
VC\r- ~tM.le St-:::.2..61) l'M vv- 0v\M- L· (6 .t \-rI.'tJ~ ~ b- ~ 12. """ "'"
f St :<. lLD 0 0 ,le. .
Il St ~ f 'w..o r\ù-t ~Y"\.VWI"!VI 0-t La IJQclx lM + 1 0 Vv<;\ 1 - s() '"t10 -= 6av \YI~
L~ ~ '{' t-~ ~V' ~ lOJ'J\ à.10. 'f l'Y\.~~v ~..) \-r lio..N\b v-t 'r- s CL\~ ZDt rt6.. Lt' J. lJ...JV\.~
eÀ\,s~0Jv..u. chi li Ov~f\.l.À' L~~ ;;: ~~. .tU\- \eP QY' l'<\.l\.~'î'~ trON\D\K-'ï'.s Gl!l~ ~ M~'ft {, \ CV\.%'(~ 0: \ ( Cl-~9vi ~~ l \JJJ\ ~r c, Q Î~~."Y\ ~ Y'vr -d <J cc \ cl S. t C!-~~l Q SS\J,.Y'-t 'f' ~ 0... L () \Ah\.'<- -t . 0...~ G~V\. C. r-tl-.~ ,
i,
4\IH--J,
TGO
--- -~ 1L.
1
.1
1
II~__1-
l5\, br
l
DE C, ACI E B-SCAlc.1IL9, 5
l'CM o, I-\.M~ S-ectl<7'l\ ?~~\M ch 50)< b () Il' 1
l~ n~cw.. c\~ L~~e.t-t.M r~-tlV\t \'\~ ~~~ .l'pl'" "'1"i qv-.e 'M. t"\T o..t\.Vi\ y- ~\.t d. WM' li:thtrli VvU ~lA\H\'<\~ .'J.~ h:,'fS\0l\) ~ Y'~'i'V\~~o...Le \0. M-L~·iir~e1Lt ~ QY-- VvY\,e. ~e..lt~~. CV' ws-e.. c\."",\- ~I ~ ~o...Ùkv.Y'
. • . Il
A, t"'-"; <..,~,It"%"\' CM J, ,t '""'< M (L:<<c~<: Iv. 0,", """ct. q~\ , C,,, f. \ \ \ 1 . L - li, tJ . dl: t.po t.I \ '0 ~ '0. \ V\.S en ni. 0. \ \'\~ V\ W y-. {, Cl.,,,ar-- c lfM ,
, \
St:= <1'1 \' t clu.. CI'"J-o ~\y. ~Q L-t 0: 'M-\ - lf~t~'1:' Ji,;, r0-y-~ -:: '5 t, (.1-)( '-\1,"). -=: 2.1 53, ,1 '0YY\'2.
< L, ~,.; ln th-t u~, < JL <At ~tat 0. '.]A ~ t( '1,0 ~ 4", 61-) ~ 13( ,fe""< r""< \t> ~LÙ """ l v ""'"<" """"". <i """ i <lo<\- f,r ""-él"",,,,t l" ~"'"""'c~"'"\'-"", t;" f"",~ ""\-" cl.c k n,'"'" ,,\- <l'.\hyl-~ "M(~ ".J- N cl."f. r'" al<'f~
""iN. l ~ ,1' J", )<" \1!.) o,~) Sni.. \ j,\"",0..\;."'" r,-éSv. d.e cÎM.blt) <
0'-' Mt '13/s~>\\D; , .<" " ~ ~ - -+ t,SOl," <~ <, '3 ni" '- '1. ,5 [o.K)LR . {, 2..x ~153 \"1 0( 8))'"!. '.
li 1,-, \ '1 \ ." c '" • \ . y- {JI '" 0.. \. CA, ~ Lite NI Ccl'\J\M' cu. '(' e..~ (c H.ll RR.ON)Q..~~ ~ lo...\;i, "" 6\~ 10. r-e.~ CI v' \,...v V\.fV'. >
cl~M', ~ t ~ Al Mt _ '" 8{;/L_ t? f 5:X~D -=-. 31
-6 g {, rtrY\'L
.L n ck :t .. ~i:51) ,\" ~'-Jl ~ -1..t\s ~
Q •."" "l ~ "cl.; "" ~:t,s., "'" CL< "" u,I-v."t;, , l ~~kc,\"",. ~ <
~. 'L' ~ t ri.. 1'L .-\' "1 G'\ -b [~~ \ '1. CJ...I.I.'I, ~o.ttD -tir 1'14H o.M. LQ"\v\)(\t:: ~ 1 b 8 't VN\. P <S' 1 y.> .
. 0 _ L- \. ID...L _ IJ t",,'I\J',. D i \ .~ PI" ~OhJl \JJ,.1"'~ a.A.~ .\fi\.. ~"eN,-4.lN\\ l.AJYè c,« ClV'-~ 0_,-- 't' t- _ .1 Q \,\'( lV> Cl 'f 'M. ,,~, <.<.J' \ ~ 2. 2. LCG)).. 'l..) \ s .il' 2. i 5~/l" ) (, ~ ..\,~5 ~ -1 G9 ~ """"l Pt t -e, t.Le.1 2. '" NI 0- \.lfV:J \- -:. :, 1- x '\.() 3 )
• r,,-."'-v, '"""'~~ ~ r~, < ,,,n!.\ "'Co.'rsnni\, (r!Jo:)
\AiJ? "~~,~:~17",:~,Pr,"q,( ""~ 'T' 't~ (~K)
.~ t Je r ~ . .2:.1tEl t" 4.6U _ G1'3 '33~ ';:> 0 l"t ':> .. ~r ~ st- ~ f ') lI. LO 'J ) ~
JL~~ +- ~I
C6.' .VERIFICIGION DL> E=X&"LS LIMIIES }JE Sfk\J\CC
<&.6,1 ç.orW>'-.EsSlobl' DU PETON
IT' . r\-~
~ !:> -::: \LCf.s :=. 0) 0 'L ":l x l: -)'8 1S ""::: (; 15 '/... t\ ~ '" c. U b
~~v'tfj\l\ (l OV' \- cuLe',\À.Q,b.s _
- ()J 2..'2.
Il ,J.l." -=- - +l.\1--X -tD
- -bcl '1- 'i.fs 5 0", S12..;<. 1'1-6
.~ '\M5> - '1--2. 11- x E 3- -
,. ~" d CG °)31 g x. 5t x,1'f('
P1 z: 0)':'19
k 'i .~ () () 2.. "2....1 .
I!·11!
• i lLc:2.. ( 1.,6 '2..5 - 0J 2.5) "-''? 0 u.y \~ C Q cl.y-~ '3 t =- 2..00 ('M. 'N\ d..(JYI.C- ll'I\. Q _ _
, Il :' \, 0) t.~ "M ~'\h··n.. ;) -e. Îf' l'Vlil q, 'IllV\\w: f o tIv'r Lo.. f'MJÀ..\J'II1l lM
I&A ~ o'\-\ t1av- d.v.> b0.n· U l(l'Y\.~l--u.cUY\.~ oJ: l'lVIÀ\.( ~l'
t. C'<\ CCl ~v- clQM~ \.~ frf\t~-t.. s»f o.Le vYLeM,t I?'t::: ~O VM 6V\. OJJ. 10- ",
~ x 1+\.1 -= 1~.t ba.Y"'<'Ul ci 1..t
'3cHEH FT DE F-ERRftILLA-GE
1
;>
".", Il;
C\-IB'?\TRt:.,t. .cRLC\.I\.. \)t:s ABM8IUR'èS DESJ COlONNES Fi~~. 1
1'\0\.\5; \)..\ltlV\S '1'1"0\5 COlOVl.V\l:s G)} ® IÙ i~ clt. /.ltc..l~<jVI 50I':SéltNY\.t
t\O\~ OeSi')V\ ç\eD colo"l'IQ.S . ,
~ CCllc.u..l d..tb Clvmok\iY-e.s c\..e Lo.- pV'e.'iI'IltV"'e coLoYlV'le (1\'I~\l))
Le.s c.o~oV'mes S<n'\r CCY\\Y-t\i~,NI\-e~ . , :i
\es e.~~\"\<; qliÀ. s'exe'(ceV\\- n,x G) SO'\f\t \le~ÇD,,~1 cle campye>o'I'UV\ Ne.\ ~w V'<\.O'Me.""lç, Ms ,Ù \Î.:t- C\MX ~x~€.'('(1..\.~~ qJ) corT'e.bfM~VVl\
- ~
ClLl LM d.e. chci.\"CJ-c'meV\r Le. \~w CI""L'i qu.€., fNo~WJ> ~v...{. le CD../) o\e, cho.."?l-t'NI WI-~ .. -réH'r\Jo·I~y.. n-àe.. -1- u-tV1.~ +h""p ~V'ot\v\Y'e Yl~fp~ \A~ COJ d,..e c..~.C\Y-C\e'N\ ~N\,t c~t. ~\..~t. 'P0v'T lez, ') col(l\f\Y\.Q..() cl Ub h-o..vtysC?,
N::: 1ù1t/&~ ~N \"~,?=.-1.1()?>S~~J.M el- 111-=--iJ) 1-S R.II), M [P,FP--ti-n-E)
~o:\..1 \{e..'Î\Ç\ c.o..\\~ de. lC\., Y\o-..hvn c\.c.: \..0- c.o~(JV\~~
. lo.. .. c..6l()'V\y\'~ e;ot- ·c.ou.......t -e s L. I~Jl.\ .!...:3 4 - 'Î t 1"\",l r M~.
c.àuJ. c\.~, i = 2. ~ co'"'T Go ~ 2:..- E!. beaNlJ.....c..c\ -= 5,2~Ox ~C M VV\ l
Ir<MTV"t Y\'~~à...l-= 52.'100 ><.10(, fMM"
Iro,-\\'r( = :, 6':)0 ",lOb f'Mf'I\L(
sHe tW t
'Vft = 4! ~5S~10Dx\O&
':» L ':>
S~ 10,,10"~?J -=. 1..1,';)5
36~Ox lOC31-b
_ t/\o..'i. l,zOM L) -=- ~Q'f.l.i. ~ Q..\- 1-,')8) ~ .{.(Mi\. - ) z.so
• ~ ':. tx l~\Y\e-i.\i 6.1>-- ~'\f\&«v~/(j\. <Y\c\Y't =- t;
~ -;: ~, 3s -D).S ., 4-14S "'" =)lt\ -:: 0//'-1 x ll,u.S
'. r ~~~056. Wl.c.' lo- L clO"'-'i\e. ~\-lC\..I..·A e. ~J (j\I\. . )
~e)j_\" ~e:~\l~r Ut ~k\- ~,e./~le\()JVIu;.'M~tM ! \' '/... co.\.UvLl (lu l'x:c.tfV\Ir"..: (..Lt~
; ~ -:: -e.x..e.e'i\~'\c.i-\-~ o..c.Ll.~Wèh~\e
l'
.\
'._t---::,;n")(
.' , " l\
,S-e.. ~o,:r ~ t
. 0( :::: Ml'
Mt~J -::. L.:t IA~M cl e. ~ l oJv-A "o-e.,"\J\ (!M.' -::: ~ t::: 0) 6Y)< ~ 1 <j 5 /'M. -= 3}.{. N\I1
&..eJJ lero.~r0V"\ à-e-lo.. cVÇO\'"VV\.o.-hM ~V\aL~ cHu. 0J..-'- ~'~~~ 1 ;;. Lo. clL~tlYM.o--LLM ,
i -vs \-0-.'1\\-0.'1\ 1'\. e.'e S!s"w> lQ c.~ a y' ~ LIl'J\l\\.cle.~~' i c. e. î o..yr 0 V"f Qi)1- i YI ~ 'Ta..le...niI (N'cT:: 2·
'Pc.'... ~w.\ L. e.~ = ') x. (?J.tOD) 1. ., l:1... -r '\ ,1'g5 .y., ~ \' -z: -1.. 2 18~ (l(1li VV\
1\0")( 5()() ljt:» ,
" ~ = G1~ <..' h 0.. )( lt S',. ~o €.-I) cÀ- d\f\- C. (YV\ FtM--( c..cJ.. CAJe..y l 0.. ~c-~('i\Q 1 .~ \ 1-
CM. l~tX.\.lJ'I\ c.(jYI\~oH.e... (OrS'v\JI \~ !JcL~lU.\tl L([\/VJ M-=.M-e.. o..JAt -t~ ~'\tL+-e rlv
-e. -:: .0) t.rt -+ 1.1 88.2, + ~ :::: 41 1..i fÙV\'\.
((J'N\..,...,;..e... (1'<\ V\ e... ~ f o se f OJ) c~e.A Ç.D 0.y- ~ ef, C\' \Y\ hv- ().:c:\\ oc. c\. t0 R\, 0..,\ o,~ C\. ~
Co...f"'î-()'" e.,t- ~o...V\ à.a \.IL ci (j'(\ v--R. c\,..:'(V\.~'(\JiG'l\Y\i2.Y ~o.. Hc..:t..(f'(\ €M He.M \"VI lUVl{porei
M (t 'L 1/7..-Ck"~C l'~r= tv'\x -rn~) .. ::0. nt1. lÀ.. ~ l5VJ) ~ rI! 'l'-(\r, <JWJ l ~ . l'rv\ G-iV\ eY\ f fVYl L\...XÀ Y'lü.l..Yv\
"
Q.,t c..e.b ~~?llc\\.L~. WI ~ " Il
. ~ . ,_ M'l( =- n~ =- /Î..jSTS ~I\J ,1"1\ -=')
,,/1 ( ''<. t)l\,h. ~"t iin r = \ '\ l ') :;- 5 -T ~ 1 5 ,. S ::::.. .t).2. 3 fll~ \ '1PC\)" swJe t\. =- ~.J:2.3 ._ 0 :V.. ii'
101i[63 ) \lm
~ . '\/li:.61"\:.xc..e.Y\ '('1 C.A e.. te~ OJJ..j. dkt~ 6vL\. se..c.IJ'.'\.~ ()'î'à.'('~ OJ-.\.X' cté~o'frt\.a..t<l'M o~ La... s~u.et(A;~~e~ :e.t -:: ~ ( .(. -\- 0( cP ) dl O,YMA \..1 o.-Y" \( t~eA ,4,4 ck DT, U"'o~~ . l,
~CO(-=. \'YI.ITV'M.N\r~ 1.o.A. Cl v-6Y'e ~ OJ...\. X c..hav crU! rn r\l\{À.fV\~~~ J.\.\f\ -
YV\ <î'N\~~\ tD \-(;I.~ clu.. ~'('l '(y'\ \ t,y- 0 r c\1'1: .
cw-€.. c M~ ::: 11H'5~N.M l (ÇI'- F\<..f\ nE)
..' il
.2.\t <3 '" 'l ~/5 ~------ = Dltt L..ftt '::O)3":l~If~J lx 5 o, (45
1 4) 1-
=-> ~:. 0) '3 0 -G
--_.~
'10 1~ ~~~e r ,-..\ \ri o•.Yi i'I' ~ 0.'1' VVLcLfu NJl l al'\ 't~ \1).. c'v-.\\ol.t.Le (\:;Y\' V'~ <\.e fY'eSJi (V\ C.G -::.. \Y\ = Y''Lg3 = O)O~1~\VI -r···· A.·
N ""OHlnle Le;vv~ ch.. \lNSJ~C/VI 8t \r.crv..v~ VvI.~ ltl)·
a.Y:'f'\Q~Y'eJ.> e~ \I~~t-D"\\- T\OI'VV\-Cl\ ~t 1.AM.e. . ~~,l;'., G x, 2{;~~Y'e..lh~ lf'I\ ' -V A'. .-I-tl..'Veri h-1lVVJ S\ LOo. s€.ctiQY\ ~r pa.di e.I\e 'NI {vJ' ClJYV\pi'l'M~ 4,~
NcrvJ) OJ.J(J'N) M 'Î = MG\- N ~ 1<: ,.. 50~M1:: /YY\G'JVU.M,\-fV\V r-a..f\lor-\- C\.M. c..~~ ete, '3Yo...~tê cAV) 0.. ... l""o.JUI'to 'l\"1teY\'~
tv\ '\::: 1.t1'8~ 0 + (\ on 6 3 ô x O).:LO 4 -=. . ~4 'j li .1 b/i ~ tV 1 VV\ :::. ~~ ~ \.{ 2...b S ~O N\\jVl1'Y\
1N ( c~ - c) - M ~ :::: 10 n b) 0 ( 451\ - ~ b) - s:I.t Cj" -t6 5ta = t 6 5 1- 6-b 5:<""6 N, M ~
(o, 3Y,. -OIH.. i )"V"b b~~ -= (oI3n-ola1xlt~ îx\~/'Lx5cro)'S(Î()1.. -=- 4t.590~ùOON.V'<'""1\ 5 Ol) Oo'
C(}Y,/WA€, Ne A~ 2) - 1\1. ~ (0) 3~,. - 0/1)'\ r.t) (Jo '0 ~ '1. cl~( ~a. S e...c.. t;: aY\ ~ fpa.... t(e.l~t 'r.,\ t'l\ \- c.a-m ~V'l 'M/e .
M"
1\'=--- :L't 'jv, HI 5'~-~d \fs 0/~O6>.45,~l<~'48
c\ Mol.. ~ -::. AI - . N. ::. "1+/ Lt '3 .: ,\OflJO -'<. 1.6 3 L 0 J.MC Pr {;)t l\.ll. llaOo'\OO\f.s. '3" o"\ al) )t,: '-+'ô
~o..N\fJ (~ -ft,V'lY\\.A\v Je He,X-I' M c..(Mt·5~Co..V" elle.·o-.. ~tt SCLrrD~ posih:v--e.
• \J -L ri t,' MD rh ft( ~ t- M.U.-lloQ...l. 1 . N(~-\:J,-à.)Oo
O,L\.~ _c~ t- -=- Q
. 0 1~ \Jo 6
\=) a14 "1J '/." - l.t 1 b Jo ',Ie 1.0 1...1- 1 63 y 1D~ l-'\ ') ,.h b -T ~ 1 ç, - y 5 1 4 ) -=.. 0
é.Q0 >-..-1..1.t / "-x. cs 0
(;=') GIll. l{) 1.- - 4/ G'-} - Lr5 0) 4~ -= 0 =) fi:i' =- ~:'I b~ i _:) '1' ::.18 , Y (1'fV\
-=) Fr (-=. N - ~0 CJh 'b ~ L... 0 . (\.(l\!\.<" AI =- 0. A.O"o ~ 1 • 1
e ::.. o.M~~ AA. UM~ .~ 'l""QJ\i\ "" q}.t UJv\~ ~ Qî o-.~ t( dM O-"'r>\~ (CJ.~ ,
1 •
:1
cllM-t fY\~ J)(jVVI.'fY\Y.I c\.CJ..i'.M'~ cCV) O\A.. i:A = f'ï'=. 0 .
PC\'î C(JV\l)~qlleM~ iJV\ /u.:t-tv~e.'îQ ~l\J'i\e. put: 'D'V\ cl' a.V'Wl,J'AV'EfYY'..l,Vllm~A ~ f\-\~W, -
.\ A:> O;!l 'o~- /
101)- t.
Sti>t À // 0 ;~j. 5c -= 5 C/vvI 'L
l'\.(JÙ 1
!lD,,~:,~ \1 ~r; R co-tc <l'l\ .te- La. t'îo..~.~~~~ê
• \j i S 6- \lis cl 1u.~ e e. \fC'I\hcc-.tle. \y- ,,-ct <1\;'
()y-, c\~\- acIf'O\Y' b c:. I\-~e. -=-) f\ ~ BJttK _ 50\.~,~ -=-13)~. (;vlI 'Z.
8~ _. }t 4~
DJ,l-{.L- ~'ti -:0 r ùLs l-o.Mu o~ lo.. t,ll~ OV\ du \,L~ Q8-t' cl€. i iG\I.M -:; 0/,'1:- 0;06 ~c..~}e. 'ç ~ 'M.\~t ~laA tt~ aoJ\ffi.M,\( -e, cle6 c.b- '1Y\- (,l.~
& \J i 5 ~ \fi;) c~ IY\'I-rN'I\ ~"V\-t Çlic\l.lÇSQJwt
- f\s O.t ~ }tu_ 0 t8 x. .t,1, 0 0 D '1 tA L\N\Î.S"'" - b c\ »-' ) ~ ) _ LL00 - 1
.. LE'h fc>~LCU-L>< ()IV\.~ -exroJ-é.o ~11Vc.c. A')/OIQ\)5.'o~:. ·U.. iS~'\.. {~.-rtl~,I. -'f?, .S,'3)~ MU)
.b.\l'I\. C. ta.. s-t. Lt.. ()Y\ (\'V\.Ll'\ l r«~ 0:::: a...cLo rk r- .Q,o ~ -é~ c(~;' ft -= -i+ hA.~ ;::- -1 '3 /. tM1'è
-r'LO,>
_L
L~ ~G\..~~%'"t ~tv...& .~
i."'-~ 1\'2.UM tÎ.. ~ (~O -+10) ; 40 0-M) ~ l< 0"", (Üq,,6
11, ,j
f8 1=~ ij
" 'il' --
~ I!>J A/1
1 .
~u\ \- 4: ~ 1. b T 4 <P 1-~ .'
On fYY\e--t MJl k~\."f\~~fèA "fOW\-~f\~é~\w
\ \,~" \Vi e;;'fo.CVM.~\ ~avX
L<b'l4 '1
'1
C R Leu L DES E TRI~
U~orr t-rO-",,(~~,J ~ 1" ~ 0) 5 fi ~N
bu--=- "lC\. - O)'Sn;.çiol
:::. D D6~~~ Ilf""bD J 501))( us \.1 l "
0,1'
bu- - 0)3 ~tà ~
O,8-}e.:
\U> C\.'1X'1\'Qtv\Y'~ cll Q~ s~ J.Ç» Cl'lf'i\.~ olrL~b...c J.M-C cOW\W\.Q lQ! )
}l~~ LVI.-CLt av- .vi\- f"-~ ~uJi.<1 (,L~ b\.L ~ l'fi"IM l0I10}c if) ?\WCl.) ~ :ZJ5 n Po-
~I'~~ et~ .e-h,-\tM ~t-=-b'Y\A.W\ ~) At :=, ~"ïf cPt1.. -:: 56;55 {YV\;!:L,
; 1I0~) -
b, )< 0, II '&CîO Il ()J '"'
'\.!l, 'L,L\.2. St ~ 1Y"\-\j'{I. (C, ~ cl ~. Lt 0 t.V'o') =. l'('II.W lOI ~ .\ lIS,4
. Ü'<\ ~~ G"l ~~ r ~ù\ CA\ ~~~\r- 1 s~ -:: :i-O \J'N\ l'A.. _ r 'Q>L -1{ \.1
, ~t - 'o/'tl\.'M > ~ -::. '"":1 = 5)33. ""...,.. 0,1'- ,
~ S~ L 11 S C:\J L .-:- t\S x tH ::: t l\Cl » '10Ù '" ""- le.1<-
~'M. -= LM\-r.. ()"IM\-e (Y'/\~V\ ~ cl e, uv\"l"u j ,.G'I'
l . ~
x10 n?CL":; 4 JOlr\'\>o..-:>k=.1..-t]\'-I,Ot_2.5 - 1-. J 5
o)~ At. ~. _ 0 1gl' ';; 6/ '5 5 ~ \LûlJ L 0
ho (GI.l- D)'3Jt:zs~) 'Ja-o( OI~1U'-OI~~~lb1/S)
ci iIYI- c (JV\. \.JO-.' ~ f.t.A-c:h-~ ~~ CIr\A.t\:ct~(j\.V) ~~1.~ J! e4T' CL~tNvt- .1\.0, 1,.~ 'J-tR1rICe-=rICN DE L' 'ë,5 \?AC E, il E: N "I E 1 t'lE k~ s't:DIOl>\ tÜWS\ MIN\TIAl€
10.1ç\(~ ~ ~ ·(Y'(lQ,v:C1.~~ jO/4npo..) '_O)4ilt'a~QSt ~.
I\~ ~') St 6
• ~t ~. L\\.)(J 'N\ 'M
~ '3 C' ~.l r\w, ~&\t ~~ ........eJM-\ (Vo.
W c..\\G'\~Y- 0. ~ HY1e.M
D.K~ \. 0-- 1IC-Lt.. (j'I\
~t ~ b""""""CUIldl'i'~~t.:'t ck \0 UN- -::: 5 Q-t10 -:: -€l0 (,lM Oy~i ), CI.d4 ck. 10 VM.
I --:- -:--_j- .I
.'
r~ÇQ\,\ \Co ~D Rn!-
. Le{) ro~e.cu-(X MV\t- C.m'\pv i'M~ 6cMc.. l~ nlO\A.\JY'tf'v"v\~~ ve br pOJWJ trot~l~
~t\r t.tI>t\t'fV\\l:.n. 'îlScr--t.,..cM.€Jv\.~ c~t ~ire. ~c~o..hr _~~ ~t~ qw..' ~ eMkvJrt .
GrM '('1\. ~ lw 0.y 'N\ (.1.~\,\ V'~ prA'r ;ùvv:> ce ~'u bl~ l, c~ e..t-t t~ à.AÀ.~ (jY\. f" W\. 0\ (JfY'fl Yf\Q.
L-.m~v.eu..,.. clll. y-eLOlA-Vrtm~t t-- =- 46 c? l\Yo.lUA'r ~ar~~\-n\~e f<fW\. F-~Ë liO
~f·l1.1- ()cJ..NvJ c.rOt~Ù). =-) ~V'= 40x"\b''t''Y'\-=: O/64(rY\ .
tOc LaY\ ÔlAe.o, r- . 'c\VI 'oC\ 'f- V'ID l M ~l k, c\i ,;\,0.\ tJ) -= lt, 'èl C; 1'" Ci16.4- -=- S/ 6NV'
'2oD1
''3(; ~ 0 " "\O,Ç,~,6
. '5 HO " lOt+5,1
1.0.3
~~I.l _ O;tS"4,t q~ 5 r") M 'JI.
r =- "" 1 < J ~ - 1 -<.. -i -:::. 3LI -1 t .. 5 J r'lJ :::.1.4, ~ t0) 3 li. OIS f\ 1
11<. 'r,1') 5
~<r"\. ~Q ~o\.Q')I.VI.t ~\-' LQ"\V\k ~ (lV\ f'".W\- lY\..e[~"v. ~ .l' l'.H Ù d.e t ~lAA\~!\O,~.!I- __--CRLCUL DES E)(CEN"~u:.J.IES
q eo.::: -ext~Y\~ u.~i C\.c..(..~~~h,\te -= t\A.)t l.2.V'M 'J '~lSO ') = ~;()8 CfYV\
o ~'i.: e...XC-'WI.~o.\.l c\.v.. ~1)'t\1.'M.\.4L"" o\"'t\;-~ -= 11..r\II ~ It, 1cis N
~=-
-3x (It~ t':U'"e.l, = -------'--/toit ,,500
~~ _ 4., II 1" '2.. -= '6 }'3 LtLt <:... rM-o...;< ('\ S j ~,',O ~ 1cL~c ClV\ lP~.l LJ-~h O~ ;~ 1
~o.. ~t..(Ü C\A 'eM ~tx,\(N'\ C-O"iV\r e K~ , fOûWl \.v) bà-~L>;-~.Q-h,MJ) "lv'\ -= 'M. e, OJ-H. Le..=, ~ -t e<.. -\- e. 0.. -e.-~ '\'-\ = 1 0 '2 '\ \ '1 ~ ,,)
M-_ /)D~i,1x( 6/~4 T<2;J5Ei.t+.t.6~)x'\<),.."<'-::: 60}35 ~N,1'V1
O« \Jü.- ~('fI\~ tlV\.\I\.QJ\, 10.- !JZvt( \l'A ~ t-l'~l(~(lV\ C<lW\r 0 ~
CG-=- \V\ -=. ôl)) ~s - 0 , 05 b {'M i Lt ÛMM clt r'f"VnÎ (VI Jrt. ~f"\NV'<.. N !\O~'\,'1
cerAk ' ,b o..r.M..dJV\\'"'V "
LI e.4-o rI, Y\.DY''(Y\..(J,.\-ibMt UJV\~ c-lIW\.f re--s~ (-~ olqY\.c·"'" 0-~ J.,v\}'tf\. ,~
)(0-, o«...Gt.<l"\ ~~ 1Q'f' tL~\~~ 'f\J\~ '"Ir ClS'N\fî\ \'V\ Te.- .
~ D\.{:) Cl..-\f1J\'\l> M 1\ ~ \\. G + N 'x.. s.' -= b63501: + -10~1...1 t ')( 0 ;'tOLt.>dô3 = ~8C)3'?> 4[~ ~'1'1\
N' C~ - (~ -1"'\" -= Jt 0~Ho 0 l 41)4 - 46 î - t8D~ ~ Lt '-to-O -:=. 1. (;; 0 '\ ~ 446 Cl N 1 Y't'\""'. '
(0 ?>~,. - 0l~\ si.'l \f'.;, 'h~7. ~c.è) 33\-0 M. '~ )x,,~/2..Y5Cîù;· -=- '-t61O ~OLOOi)N.\'1""\ \ ~ J 1 SUl)
N (à -cJ J - n'l < Co ;'3'3":\- - a jg" { j V-Io 1'\1. cL41"\-<' La.. ()e.t1;\.'IY\' ~~ pOl'('ll{.t\~,_,', )',
, Th s»:\ c,ll'f'I\.~ 'f\ 'NI.~ ,
, .t80~'34,~, 1..'
-14, .t)(. 'il 0 x l '-\S,4)
1\0 g11.0-0-;..' :te - --
.{{J'V x '?ll1.'~
~) O,Lt";)'t-4 16' 'd' - ~l--'8,'5
c\(JVc'c li -::: ~ 6 l '6 ~ '\J'M
'l e -;- {\J ~ '<. -1: C' - c\ ') -=- aD/ll G - '"'}- ~ \
0 11\ '\I\) ,'0 1
, il(::-J 0,4 'i '1. -:- Lr lb ~ -r -10Ei ~o-c C,\s/{{, 'H-t rh -11{;5 (lJ ') -:::..- 0
80 x 1LI; t x. ')0l'
~) f~ (\ _. 1- ~ /) 3
=-) Ftl -=- N' - 8(')~1, "Io~ L 0
{.Qo,%'~Ql' ~\ ~ A -:: -t\(-=.-a
'" \ .ü. +- ,_' \, \ ( r • r (\v \SYI C (JV\ U"O- ;Vv~ \ü·~y- \J...I'l'&. Jà-U.M, \M (V'Nq, 1~ cÀ (LU- lift.ô'M!m.L Fl''L t.L Q.-tW\ _
('M tvvl;- fi r i\j Wcc., -:::. 1-')) ~ CM\L s~ 1-- 4 <p t 6 + 4 <b Hf
D'VI O-~o ~\-t \ L ~ ~~LlCL~ ~ l-I. "l,,:l U y- ~~ QobV\. e. ro: ~ ® .10 1 rs , ~ __ CQ \ CM.\ d '0 ~~r\ ~n
L1~+-kT\- t--rO-MC-~avvJ- -=- \ :::- Vu.. -cr, 0 j ~~i- -RN .
t\.l~ \lu. -::: o}.~~E3> -=. O,OO1.~~ \l?~ L.., f:M.J\.M [O,OJc.?f) 4,ù) -:::.D"tsnP",'00 cl 5<iÙ)< 4'54
-\~ Q}{' 'N'-- U.\-uv~ ct. 1 ~"f'/'.1. .s 6~\- cÀJp ct'f''M- 0..,~\ 'î eo ct.'('<il,b ,0",- e-d..tJ f\ t. 1t .~. S(p\,-0-.UJvv\-w$ ,~ W~ t'" p(jVJJ\ II L~ cU Lit Co [M~®'
.1-0 \ l.j co\ cu ~ c\ü oc'r-'ffio.hwe ç <le lll.. uAo'f'V\e rQ:.~G
EH-orto' N:::. 16~s/51. ~N tl s -c, -tIH~I'L"" '11::r = G,:t4tNI"'V\
L~e+~r\- \'lù'('~(l.\. :J:l~ Yl'\.~~~ OJ.)..y.. ~)('t<~~~ ,o",,} ~l'Qtrqv.vVYdM~ \.v't'ff<.ê.w-.w f<l\J\.Y ~ '3 c.o~GY\~~ ~lMC. Gît Io.-d.-oftt :~\V\o..ltNv\_Vivt Le M\t'M1
~\I\A;:'~~~ ~tNJ\ CJh Avr'(V\Ùv,p, C. ft -= l\SI'f'I\IM ') -
L~ d~'f~' \--r-.CV'-A.t.~fJ-M.b ..),II',,,,.-\-- ~l JM f'M-~t ()~c:\.r{ d.9. ~--.r c.w...~ ~M(
O'l\ a. ~ ~ ~~(U~JY"'~J'~ ,
lQJl L<N\.~ k l~\;-e.\ e ~pv".v,W\~ MV\~ LU\ ~ \
-f------------.:...-----~------'---~(>"(cv,- .
A o e s -'''A,V E8Sf"S \E:NTR-CIO\S'CS)('.,A~, S _UtLClIL DES ARM JIIRES __ ~-'--IL
A().s; 11""' cw Cne Y1l<-® '. h ~\f\n-t à,y,"'wt'
rv\ S -=.-1 b )4~ ~ ~N,"" nb . -::::- - 30 l ') ~ ,,tNl "'" 1\ tv-o.~ ::: .2. 1 L, RN, ~
N =- + 1... 135 g ~N ~,t~hV-~VfQY'yvul..\ ck c...~f'('n, \OV
Vu.-:=. +2l0 l 'j{;1- ~N \ e..!{0y'1- tro..V\.c\t.C\.'J\\-
c_ - - ---'> N
-~- ,
n500",,,, j'
7Ntrvv'f'O 1" a....~ ::~ 0 vV\ 'VI
~::,O,)':,'h10, '1.-1~J h35)4 x (l{5,5)
.. Au.x Cl.8?u.À.5_
Ge. \ \ " _1'J\_:,O)'S'3"3 -:::.15)'"""' .; ce.\,\\Y'( C\e p'f'eSsIO\'\, J ... ,
N 1..,%8f '(' e..I ~~ "'" - ~ t-. eN.~. ';: \ 1 e.x-~ t Y'1e..u. y- d..u '/H..Ô V'<I et-At II W\..~\-t.'L~\ k(t-\:i.~ ~r pa.Y't\e..\\~t- C~M.~,YÙV\~ _
N\ -=- ~D)':l.>'3~ - A.,,~sS)( 0)-2-13 = .2~/'O.1 N\ M
.A- \ft c. c\> L ..,., 14 'M 'M ~ t c, 'g l'rY\ \'V\
\)'=. .'~ ,5 Mrm '(Y'\
fa:r ~L\.\\-e. A/i, -= . M
~c\Œ
=) ~ -:::. D)~ 115
- 1.. l '3 5 CM'<L
N100ClS =) 2- 6()..'{'~ cb 12liY\ 'M
® E'rI tîO..V,(e, M -= .2. 1\.( t NI""
G.C-:::. ~ - .L,1..j _-:=.' 1.):L.-<'-5 ~ 3~t-t.·a'i'"'1 ~ 'j s
t-f\::.. .:t. '-i 1- '358)Ç, () ~,n-::. 11C)8~ t~,TY\
1 ) ,)
~
,)).. ::: -'\J~li'3 À(ll,) -:::: (J) D\)<" .: Mt ::: 0/31),')."
1\1<. 1'2..' 35)'--1 ~ ~'--I.~S)1..
! .~ 'n t'(' src««»:Ir: c n-vIi'fY'\ '('fI.u
~~::: '\C\3'3o1~'j()( 4SjS )<."'3u.8
1\ 1- -=- 0, \., +-1.\l~cr:; -,:..i. " _"_'j_S8_0, :> t-
I()\)lt~~~
, li
1 - - - 1-,11
,'1
1 I-L,
F1 1
1 1, - - --~,
NIlW\ ~l'\)\M~([\'\.I; kJ cU,",,-"" \oo.r~ d.e. cb t\~ J.v, D-tr WJl b.r- OJA lUV\..~ c\.i1-
LC\. ~ 0 u. \Y--( d. sv«: ft '\ -= ~ X cb J\ 2. -::. 1. 1~6 .t Cfw\
1\0,'5:, VERIEICB-rIOM bU \>OÜRr,EHTf\6 Ei. DINIOI1L P'BW IifrNS LE;' SL\IT.s '€X"\!105ES1
TO\A~ ~ \~ M c\1 ('IV) cle, \..'" f 0 lÀ~ cl<r\ lrtN\.~ CMfb "~ \.,lM. e oH.-c..lÀ. <IV' fY\'\.,\ ';\,.; \'VI. c"l '(.
~<,Gl v 'lV\:Q\v' '1{, : fis ~ ~> (l\iM '::o' 0/) cs B = O}'OO Sj.. ~5 )Ll x S 0 s: '& ,8 5 CNv\?"
Ve.ri ht.,,-'ilN\ <tt k çV"'Q~~~
A\),:y. Q.~ r®C),~% \) -= 0 1 ° 0 2. :>< ~5/4.x.5\) = ~) Sl, ÎJVY\'L ~ Z,gS z: yJll'LS(AMEL lo.K)
. , ~
- L'A h-o..~
Lo.. V't~ du.. l~vJÀ.(~ ~~ v{nr&
0) DO'\ B :::. O,()()1 X'?>5)~1)( 50 ::. {11-1-e;w;1. L... 41
4 '2..s ~'l (o,\()
ft- c...e.. \h.. qu-ewh.t-t cll
OcV' rv, ~hw~ de. ~ Il?S CwI"L Q'Y\ ~r eycJ'\A..~ ~ e:.u-t \r{
ra r tz<1"l F6Wc "\:e.M.-~ l(JVY\pk d' \.JJIt\\...- ~1)'Ù'1\ ..t\.-J /iVLf'M~t cle. +Or~ t ~'V\ cLctPM LQ YCM~~\Ni.\0v-, C\.- ~ Let- LCN\.h,o..Nv-k. t-o..M.'YV\.\e 1u. {. f'f'ICw. (Oll!? aC'l..f ) 4C1PCL) =- ~ np~
A",,;;, ~ 0lJJ\ \-v rit NIc ) 1+de. :7r l'M..- lJ.J( [ '1", .) c\ 4 nt'CI.)..e. J.-'-- '-
Ll-= ~\~'?J/:)+4\1)-=- 144-}tc,W'50'(,::: 5) ')
E. Y\ ?"".et.'\l\MÀ- t LI. :::. \..ti1Pu. -) """--V-Y- (~'" • 0, U) :::. 0}4 nr&\' -,- - _. :L- J
\+\ .: 0' \ , S J:I x 14 1-/-2. _ \'l ~~ . Il.. 1 ~5}1. _1,=" '\. - l '-1 X, ~, Lw\ r--- ~
400 -
c\.f'VLL 0"- ~y"ev )JJI\-~ IH.- ...t M +o\.A -= '8',;GS. u,ô''t _ 9,HQII-v\l =- ?t'i,~"'"
Si-.~ ~ 'c o« rtA qi 2.. '" <.. bo.rt-e;:, ~ 'Id
E He~ ~ CAM c'v-.ÙJ'.\.ir -=- \[ lA.. -= ?, Cl/;) () 1- t N
Gu..-=:. \lu, -::: ?>O%'T -::: O\1n'-lnPc< :::-)
hoc\. ~5\{ .><.455 .
St,s UYV\J~ l 0 ,,~à 1 ltO<VM) -=. 1..{ 00 /'('1\ 'M
~b le At ~~ 0 1 I.d"W0.. -') /') l:: S
bo..\("-1.()~,. 53 .ll46"ù- 1 _
"" '?L( x 6/r
o-. 010 rk ~ VLO.\ efY\ tM.~ UM ~ rO-~~ ~e 2.8 tNvI CLV-t-c. cp ~ =- 'S fVI'\ VV\
La. \1 t Y\ ~~\:\ IV\ ~~ \ 0. H~c\.v. M \ -w \- f »» Ni W:J~ COJ\. lo. r'o-v.'rrt '('r'IJ..,I) Vvr ~ 0 y \ïq.u-t CM ~cn·~ l""Df~
L(1VlJ'~ ~ \'C<-'1rtP ~ 1 'L c-a-\- ~'H) " '-
lY\~tt k La.dH ~.~ ~ 1> '
l't\.'o~ r;\'~~(tM ('i'.~ b ':' 'h t. {~-tvl M;..t6
l~ ~\,O-~~ ,Ç'Q\rI.\- \.'I\.~"tu.M (i Nv'.-'w.. (~O+10) (pA ) Ll~CAMJ~ l{D ~ é:J.!<
1
1
1
i" ~
"-iL ~
<l>6
~ 1'1 r1
IÎ,::. 3'3)t42.t.W,VV\
N,-=. "1l?OS ~N
yv... -= ?> ~J '.) H ~tJ
C G -::. M ~ 44,T3~ - ,21. 56 t..; Il. .'N 1\, Kos '-\ l 'YV\ -? ke... 'GV\ ~o..",u~~r lrMr~J'L'
Lv.> ·eJ~y h cLu ~:-< \-r. o...\HJIA-tD SlJ'A,\- ~ ~e O'rJ.;·rt OJ 'T~
JQ\I. L 'JI/\. ClcLc ~\t V' 0.. la.~ ~G~ (J\.'\. et (OJ\'M...Q~'r< =- Pts Vl'\..W = 'J 11- 2Ci\o'>\"L-
b~ ~ 8 ~ 12. -t '2. CP.10
N~ ct.c\.o ~ky-VV\J) L~ ~ ç~'M(\. clt. ~I"Cli.etll}{ ,
'1
lr_ c-~w à..t.. cn'Îo-~ tt'r\ -c, '\ b cn lV\ -=->
1 .
~O\b S·TPTRIU"IE D'Et\S-et'\BLE
V'O\..\.IJ\--O-I~ ~t- :'s~Cl~le.. }on~-0J. ~CA V"'éNtrevA.\-~ c~~· ~J~oY'h: q-w: S/~. i'\. ..~
Q\~~\i Cl. \Unir ~ o.W~ f QI""' Le. Y\. 0 <;\ CJ-.U. ceM\-rJ c\.~ ~~ bo.st-Prv.h,etM~t- ch-t- ~e. r-o..pforr clv-. ~!'MW ~<: r~Y\VtÎ8~~t- 0": lb- r~r0Ha-Jtc\~ ~O'lC'àl v~Y"'tl-C.Q~Vd ''i;\hr \.t.h-i.,t,V'1J'UIA riOJ.·~t~ v\-i.M~\'\V!Ao. i'J/e1\0.6. 'L CJ\-L-C\.A\ j)ES: EPFOl<,-n \\J"=" VEh\..I-
LG.- ~Y' e.s ~'l CM ~ YI. C\ ~ '\u,~ OJJ.. ~ \M...OJ-.\.. cw..; U;v'\\rt. AQ. ~/'{' 0-..i.tt JJL la.L ( 0 - . Cl 1 1. 0 q' \j 2 . 1-\ +~8'
GlL-Q-I:: -v> 1 e Ovct.~ 0... p. -::;:.. 1 S:> '-l 'i- I:J Xo " \-\+-bO
h lQ.. e..vJJ'{.. ~ \-rcru~v-t. Ô. .!I .b( C)":Ir '(V\ o~ n). J.U'A-C.
,-:::. 0 ,1'5~4 x{)/.> x~'63)\)) 2. x "'Ib,'Yt H8 -:= ~'2. l'TL cloJ..l!YvI.'l.o 1- . ~.b 1~1-T b6
S~\- ? '\.- 0) 4 ~ ~ \ '(il
La. su,Y' ~QU A.t k e,u..l.j~ SC\.I..VV\.I..~ ()..I..l. 1\t~.J ": \1. L+ \'1-5) x y = 3i/~ 1W\1-
. . .l.c\.~ l (o...c.h av\. clu. ~ ~L)J\.. lo. CJ.-UA.. -eA;r-; ~JcJ.t ~
rv~= \91 ~ ~N /r<\~) x ')1) S/Vi\L= i~ 1c ~ N .
l el) o...J.L \l'Nl Au ~~ Sl...t r ~.~ 0 t- e, CLJ...-I..~ S' (o..p~ lÀ ~ \.L{.<~f <J-M.. ~ u-t CUA..
c\ '-h 6GY'- ct. Q\I\à -QN\4l-ù-V) {. - c.o lM \'\..Q... ..
1\ '\;'GL ' %~"'~<JV\. ht l,ClJ+t lQ ?J 1-t 5!'M- ck ilal')) t 1e.Hp v+ ch uVvv~ ~·t).r
\ l \ ( Il ~ ( "- <!?> 6$ -\- \8 (, \~ C-O (\'<\V\.Ul QIlI ~~Q.1... a. I\}.t= 011:'1v.)(i):'~ 3\1':»)<) l<\.1/~5~O,Sr>(4. \\ '3,oSt6à
0'a..= 1\...':l)~81R.1\l
l\ \.0.. .~~ ët- \\'1\ A.u. \0 CI-2l l iL 1.; J LI S ('N\ c~ ~~)) (jY\.. c, rv~.
fIJ", -;;:.. 0 -'\51u. .... 1-1'3 [:n»))) 'L.)t LI,4S+1~ ['1-)0 S x.0Jsjx.~ -::. "1:0 1 E~ ~N' .
) ~ ,4 S -+ 66 .
l~'M U'M~\- ~t r-e,\f\..~Y"' .\-WA. \:;y~J r0.. r 'fO-r f ()'\.,'t 0. lCl ~~ Ul.~ e» 0.1 à
l"\, -; 'Û-L)( 116/)~ -+ 'IJ~ x. <QI ~ 5 -t '\f" x li ,11 '5 :=. '3 ~ +Il t~\L VV\
'10 ,~ . 2.. Co-\. w.l cA.e.- V €XCoVv\\.r.: c,;.t:1 l ,(P~eM c\e.. \0. d...o.. \~ slJ,Yt'(\e.J..\'f~-=-
Po\M JJ. lu- c~t. ~(V\ ~~ -
P6l. d-...o ou· LC\.. ClA..\.K- _
P0-\6\.0 cU. La. clOv\l~ ~ t-O'Ad. _Pa\dA d..t. k e-e.t,Y\ \VV('{.. _
pcs\ è;.I o~ L tl \. (j'(\ Y\. tr'> -
~O+,3 ~N
~~IS~\'J
3)?J kN-10 It> ~N
is l~':360 ~N
'- M'f _ 1.9'+-) ie- - -1\1 1..400,6
tJ _ '::>,05 _8 - 8 -
e. z, ~ clM 1- l CL rJv-v.-c\-u,V'-e.. e.o l-- s ~c.l~ t e. QJ ~ \ ur CL\A ro. pM ole
tY' CA..l:U M èi: Lc.l bCl.l e.
· 1: . , , , 1
~~"J:rc~~~~~ ~~ rj~~ ~ &-J<~l,J Af~OS'.·:l= ~Oil' t'WI..'\IV\ -=' --tr oJ:..n~' ~, [lOJ.cÀi'UL -, '\- l' ': D
tr.~. s~é ,1"Àa- 'c\. e "cr~cÜUCL 0% ..e\" ~W-x. ~ ',' 1 l' f\ , :,,\
10~1; '1 . \11 C-O-~.'CM· c\.e. ~(l~()i.f ~OJJ\l~~~'(: 1,;.;' .;, ,i.?
1 '. v-= ' '1 g1{N ' , ,i 1 \ l'
, M "',' . . \ .. '. l'"Il ,,
\'. ~lA- 'l,,' \J~ '-. ' 10,1 le 102 -:::.,0_ ,"~J 1Gm('<J1l-T1) °15S111f,-z",cJ1j"6~1,ZS1)f,.
~ et~C-I.' /î\.~, (Y\ 1~ r M '~ e-W \ ck f'M.Q-~ ~ 1 ~Luv
-10 . ~ ~ ir\ kCtLU-<J\A k lCl ~ u-~ ll~~
A '> 0/~ S ~t~ ~ cl -::: .LI Lt 1S vwll L 0-. ~~t ~ ~ cil M!î
i~
à(u-ù, -VI- 0 -~
C 0 t>\ C 1 ~s \'0 NE\' RE C(1 \Y\ MAN DA \ JQ.l:iL.' ,',
C'--cl~ cyu-~1 '1- \ ~,,(JJ !2WJl"-\0JrJ o 06-'("- 0\1 O-A.A.:~ c~h'::>
\ ': '.
D10_\:>'f'èh 'lUJ CVf\.o..l~ seo çcU~. 0\ Civ~ C~ p'f'6'~'~~' rnUVvD ~\J(j'Nl 'rtJYV\. CÀ'('q u.Q..
~...u..e ~Q 0..t t-\ô-e.. cle.: I\l-fNVt' ct€... 3~'1?>~~ fj) t\'Y'c f 0 H./e 1 C\.V' ltD ~ Ufte..CW-f', Je
C{)-{\~~lt A~ s'~\'\~~e& er.,~ l\'\~~iw.y-t' . ~I, f\l·J~'r~eL ob~~\A.Qh ~(
l~ O-~U.S \-~'iY'> eM.b, ;JClQ s ~s: ~t'J cLe. ~,\o-t.jictt' G \ltW)E~.( ~3 142. - 4Ltb& .,:}Jt/:t~ 4ltS,4 "'J"j,. U '. il
CéA.-leJ) ce-tl e. rvt~~ ,cetm'o~t. ,bO'f\"~ C<:'\Y' T~ ,l ta c.h~~~J< d( e.CJJJ- cFcM.t '~.1~ LCI:R~ 'c' '~L " c.eJk Yule.w··. t: W\~ V\JvltNv~ 0:: '('~i..s kY'
}wqy_(tt. pl" l swi-, èL C-OJJJ\-t clt ~a. ~cù~\€I.i1-e C~~O '.e n.a v--\ô' ch.. ~O-? ~ \.~q ü.'~ PVJ\.. CVv\....X- _. CÀ, _ .' 1: ,
. :: '. 1
Ce.r~~ov''IJ 'lI<n.\Jl y-e..C()VV\V'I\ C\M-4<Mt> ~(»t.tw ~V"' LM v--\~, Y-U'__~ J-+~
f o.r Ov~ \NltRJm \!;V'J~ ~ ~ LG"\6 . cl a.f'N) ll'. t? vJ ~ 1Q'( vt' vet'f ci:. lJJY\ cl VVl..etY\, _. [ .
h Q'{\Y\0'1\ tNl. t· pb 1ali. ~V\.J ~~ 1b 0lCJJA~ h,.\~ .? v-V:l~.A.A..O.. ~ (JUt\(' .
JI CU!v~ /lh- \J...v\-vvY'~ :ô..d~e'fe~\Q.bc\tj c~<fhOJAi ~It~ ~e. \)-Ùl'\çWou.rr,C\~tg~r=
Cf..y- cleD ~t~Üf't b,e.. CUJ- C-6Uf f~ ile.J~ ; r :
po \.Iv\(,' 'f'0v\,tM..,y ~~ ~U\.- t~fu.. v-l:6à-€.. ·/lJ1. L~ JC/..U..dr~~ clOJV'Jl le~vJ\N't ~ cù t-e. .c~~ CL\ LMk'I"LQMts d~ c\,Ls \n bîNl ~. OJJce-l L6vu.~ ~~ C(f!V\.'M-~~t:ARSoN. iJl ) G\8Rft-l_GAL LON .JeGo0 D' R\ c \-\ f\ D...V\A le.1o LVl~ 'clt chlM ,~, \' 0-..\ \M~ \l;'A\- l.t r~
~f
'.'
1-:------------------------------'---':j"t, :
. . Of \,' ~ M '~~~\<"C:>~'M.O ';) 0 '10-1/ - S''0I\À. v- v\.OV fC 'J.-.'r 1f(\.\,l)J..';-. .c.M\?9J\V'v"~,QI,\~~~C1:"'q'<\'" ~ ','
. . . \
p~ .d.~ ~~~j-lClu!'l~. ~~ \CO-fCL~t~' .~~ ~'.~ >'i,~XJ~'rM3) ,
L~ A'U CÙ~ P\,w) ~v\l.J~~~ ·C~~ C~ cR s~ .~ .e.cN_\)iA.~ ,~
Q.W:{~ 'ce. ~. ~~j'- ~z~~~~ol\- +' ~_UJV\~Y- ~ ~~,~~;~ Q :cl t<A ~~~\€IrrL .At ~Vvr e.r ois&-WY" . ",. '\ ' ". .... 1.
NOU.[) [l~CM'\Y'I\ a.N\ à-Cl'M li t i~tY'~?~ ,d:o-'f~ f ~~ ~ }JJY\ ,co~r: ~~.
i0'\~~'oX~F ~ \'DU'V'l~\- ê:k ~v:t.tJû pb'~ ~-~ Jo.Nlb1 \ J ~ A '~ tÀJ1)IM . '--~ jXOr-OJ'M.~. olt- claQ.o.u)( :~! e..cw. q~( Ma- ~v\\- C(JWlhi r-e ,
L'{t.~bJG cle.. L(~ro...Ctrf\eN\;r ~ .MJ'('{\tJ~\u J,eX (€J) ~lS~Ovt,~·
C:OJ.\J\~ I~ 0.'( t<lJlO~ eMJ-s c\A:,~r-ett\t.e.t.lfllGVJ) c.m~\ ci: SU-: (ffiV\ 'iY\.G.-" _
à-t r ~ ~<JVI.À.~ (J'N /)CNJ) ~.o v- M (1 cl~ ,\QckQ.,y- ~e.'rJ .f0 UY" \. 0- <\Ü·tY 1'1\.~~ (N\. \N\ ~ 1(. ~~o ~\-i àû.J'NJ ~~ c\.w..y.. clJl~ .OJ\ 1ou- ,ro..l1
v-t.hR~ tV'l \-o..\c\.V-l àvt 't>?rltES Q C\~~QM.,f ~f »». loiu:-el 0: ty-liv:, l~YV\e..V\.StWJ) \
·-; COflCt."'0O-Nv\-- le>-- to'f'IV'd'. J.e. LQ ~\A.pe.. tY\ov...D 'rec.om"iY\ü.Mclm C~'CUA.~M\e.N\~r
L' L? cùm..\)X c\e. t 1 e)\.\-~i~ itt s; u, \ tri e..u.tt d. t lCl l~ t 'IV~II\. e.Q .
~~ ~&e. OJJ...rw..\--~~ f~l"~t~T~ c\.~ Oi.'l'N.""--wv. L\t.~G\À,~~'f',\~.l~,~~U-.t.
.\'--\~~~ ~'i'e.. tui ~'f Cl. (.Vr~ .sc:\,\.\..c.L~e. ~ ô.. ~ cL..... r\Vuw\.~r J'M.Gl)(l 'M-ol r/ JlQà.o\~ bl..l~\60'Î\-e.\.
~ eu.." iL~ 19-"N\.À.~~f c.~\.A. ~~~IM (}YI ? 0 u, liMt ~ \J.. 'fY\l '1\. e. r c...QY't ~ '('1\.tlJl.,l- LCL
~~t~\\~e. .et l\\!JtL\\e.'f UM.t. elt&e- l?x\-~f\v..\.n. 'SIAl" le ,HG.:M.L k rÜIty-vo'~'(,
Ce..\h.. ~(~e..\le... rQ...l'-\'VI..~\t'l'"c.L Je' o..(l{'C\U eM.L..t, ~GWCe.M-~ 0:. Le>- cLo.\.le. 'tAf'('(\'~iA-~'
.----
1-S
o-rl""t)~" ...es, ?os\.t;.v..\;.s-~~~ ..1<''\'\~ 1s_ef_;:_'l.5 '""-""
r--~------;VL~= 2/S()
. 1
,.
,~. "::'7~11 ~-
l\OOMN'
e "GA!~' ., !. "L L, l_&...I..!!l-'--""~" .r.r.."
i.1
tY\~ ~5 e~~5 mm l--'L1:\<l ~_)5 J- 'i'I\
...
,
,
..
-
,.. - ... ....
AR.t"! AIIJP.E 5 N EGA1"IVb S!\\VA-NT UI.\.€._ DIREC1\0\,\fig)
HBA\1.L.AGI_D_E~DJ~LD-'-LTJ.DJ~S -
.
------"n1
1.
rrY,
II -}
". L:.:<-:rsJ
\/\\" pn PI AN \)fS.;:L-
Cche e,
f------. I- - - - - - - - - - - -
\-~----'-------------...,.--------
cb (;~Di<.rls= ~O\lN
,
~~~-:''''OKN
cv-, 6D\l.N/N' ~ ~\(t{\""
--- :> 1 T >?','L\(r-! 1 ®
, fi ~11.-K
,1
Il
G)'i ®~i o,~ KN,t ~I'J
1"
l-; ç,KI'J ...Cf" 4: \3\<.1'l
J. ,;c- L- l, ,Il J, 4,~
5 1 © ii b"
1~ ®
3~~1l:,'?ll<
ii"
11Il
CI':.. 4,) KN -\ .l, .\. t. U! J. .1. 3
1>
2> à>1
4l',
1G:> QJ
1~
~.
,
-ffy
MODEl!; \1RTKt O&TICVUE Du P-ERfrME ((QLDNN'sS t1l\!\VE!l.ŒS).
P-FRAMEÀI'\t'\EX~1- - - ~---- --=- = -=-=-=- ~ - - - - - - - - - - - - - _ ......;;;;, ~ - ~ - - - - = ~ ---...-:.=.;;
DRIVEDATAINITIALIZING-osSTR.---------------------------------------A*TOTALMEMBERS
TOTALJOINTS
TOTALSPRINGS
TOTALSECTIONS
TOTALLD CASES
TOTALLD COMB
YOUNGMOD(MPA)
SHEARHOD(HPA)
9 8 o 3 5 6 25000 10600
CLIENT: EPTUSER NAME: CHEIKH WADEFRAME DESCRIPTION: ETUDE DES COLONNES DU CHATEAU D'EAUUNITS (M/I): MBANDWIDTH OPTIMIZATION (YIN): N- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ---:::'_-::::-- - ----=- =------ ~ .....;;;. -=-- ...=. - - .:=:. - -=-- - - ---=-. -- - - - ......:::::--.:....- - - - ~ - - - - -=--- - - - - - - - - ----------------------------------------STR. OS JOINT DATA DRIVE A
JOINT X-FREEDOM Y-FREEDOM Z-FREEDOM X-COORDINA TE Y-COORDINATENO. (METERS) (METERS)
1 0 ° ° +0.0000 +0.00002 0 0 0 +3.0500 +0.00003 1 1 1 +0.1750 +5.05004 1 1 1 +2.8750 +5.05005 1 1 1 +0.3500 +10.10006 1 1 1 +2.7000 +10.10007 1 1 1 +0.5250 +15.15008 1 1 1 +2.5250 +15.1500
STR. OS MEMBER DATA DRIVE A
Section Properties Data :
SECTION X-SECTIONAL MOM. INERTIA SHEAR AREANUMBER AREA (MMZ) 1.0E+06 (HM4) (MMZ)
1 +180,000.000 +3,690.000 +180,000.0002 +250,000.000 +5,210.000 +250,000.0003 +2,500,000.000 +52,100.000 +2,500,000.000
Hember Connectivity Data :
MEMBER LOWER GREA TER LOWER END GREATER END SECTIONNUMBER JOINT JOINT TYPE TYPE NUMBER
1 1 3 1 1 22 2 4 1 1 23 3 4 1 1 14 3 5 1 1 25 4 6 1 1 26 5 6 1 1 17 5 7 1 1 28 6 8 1 l 29 7 8 1 1 3
STR. Da LeAD DATA
16
DRIVE A
LeAD CASE 1
Initializing Data:
LOADCASENO.
1
NO. OFLOADEDJOINTS
6
NO. OFLOADEDMEMBERS
3
DESCRIPTION
charges perm. (non ponderees)
Joint Load Data :
RECORD LOADED HORIZONTAL VERTICAL EXTERNALNUMBER JOINT LOAD (KN) LOAD (KN) MOMENT (KN-M)
1 3 +0.0000 -39.0000 +0.00002 4 +0.0000 -39.0000 +0.00003 5 +0.0000 -38.0000 +0.00004 6 +0.0000 -38.0000 +0.00005 7 +0.0000 -660.0000 +0.0000
,6 8 +0.0000 -660.0000 +0.0000
Distributed Load Data
RECORD LOADED SLOPED LD. LOCAL XY PROJ. LOADNUMBER MEMBER KN/M SLOPE KN/M PERP. KN/M HORIZ
1 3 +0.0000 -4.3000 +0.00002 6 +0.0000 -4.3000 +0.00003 9 +0.0000 -60.0000 +0.0000
Point Load Data:
REC MEMNO. NO.
PT. LOAD1 (KN)
DIST.(M)
PT. LOAD2 (KN)
DIST.(M)
PT. LOAD3 (KN)
DIST.(M)
Temperature Load Data:
RECORD MEMBERNUMBER NUMBER
TEMPERA TUREDIFFERENCE
(CENTIGRADE)
COEFFICIENT OFEXPANSION
(MM/MM/C X 100)
LeAD CASE 2
Initializing Data:
LOADCASENO.
NO. OFLOADEDJOINTS
NO. OFLOADEDMEMBERS
DESCRIPTION
2 2 o Surcharge verticale sur le toit
~oint Load Data:
RECORDNUMBER
12
LOADEDJOINT
78
HORIZONTALLOAD (KN)
+0.0000+0.0000
VERTICALLOAD (KN)
-30.0000-30.0000
EXTERNALMOMENT (KN-M)
+0.0000+0.0000
LOAD CASE 3
Initializing Data:
LOADCASENO.
3
NO. OFLOADEDJOINTS
6
NO. OFLOADEDMEMBERS
o
DESCRIPTION
Charges de vent (non ponderees)
Joint Load Data :
RECORD LOADED HORIZONTAL VERTICAL EXTERNALNUMBER JOINT LOAD (KN) LOAD (KN) MOMENT (KN-M)
1 3 +3.7000 +0.0000 +0.00002 4 +3.7000 +0.0000 +0.00003 5 +4.3000 +0.0000 +0.00004 6 +4.3000 +0.0000 +0.00005 7 +3.2000 +0.0000 -8.00006 8 +3.2000 +0.0000 -8.0000
LOAD CASE 4-
Initializing Data:
LOADCASENO.
4
NO. OFLOADEDJOINTS
o
NO. OFLOADEDMEMBERS
3
DESCRIPTION
Variation de tempo no 1 (non pond.)
Distributed Load Data
RECORDNUMBER
LOADEDMEMBER
SLOPED LD.KN/M SLOPE
LOCAL XYKN/M PERP.
PROJ. LOADKN/M HORIZ
Point Load Data:
REC MEMNO. NO.
PT. LOAD1 (KN)
DIST.(M)
PT. LOAD2 (KN)
DIST.(M)
PT. LOAD3 (KN)
DIST.(M)
Temperature Load Data:
RECORDNUMBER
123
MEMBERNUMBER
147
TEMPERATUREDIFFERENCE
(CENTIGRADE)
+15.000+15.000+15.000
COEFFICIENT OFEXPANSION
(MM/MH/C X 100)
+0.00110+0.00110+0.00110
LOAD CASE 5
Initializing Data:
LOADCASENO.
5
NO. OFLOADEDJOINTS
o
NO. OFLOADEDHEMBERS
3
DESCRIPTION
Variation de tempo no 2 (non pond. )
Distributed Load Data
RECORD LOADED SLOPED LD. LOCAL XY PROJ. LOADNUMBER MEMBER KN/M SLOPE KN/M PERP. KN/M HORIZ
1 1 +3.0000 +0.0000 +0.00002 2 +6.0000 +0.0000 +0.00003 3 +9.0000 +0.0000 +0.0000
Point Load Data:
REC MEMNO. NO.
PT. LOAD1 (KN)
DIST.(M)
PT. LOAD2 (KN)
DIST.(M)
PT. LOAD3 (KN)
DIST.(M)
Temperature Load Data :
RECORD MEMBER TEMPERATURE COEFFICIENT OFNUMBER NUMBER DIFFERENCE EXPANSION
(CENTIGRADE) (MM/MM/C X 100)
1 1 +15.000 +0.001102 2 +15.000 +0.001103 3 +15.000 +0.00110
STR. OB LOAD COMBINAT ION DATA DRIVE A.
L~DL~D ro~ L~D ro~ L~D ro~ L~D ro~ L~D ro~ L~D ro~ ztCOHB CASE FACT CASE FACT CASE FACT CASE FA CT CASE FACT CASE FACT
1
2
3
4
5
6
1ooo1ooo1ooo1ooo1ooo1ooo
1.35 2o 0o 0o 01. 35 3o 0o 0o 01.35 4o 0o 0o 01.35 2o 0o 0o 01.35 2o 0o 0o 01.35 3o 0o 0o 0
1.5 0o 0o 0o 01.3 0o 0o 0o 0.8 0o 0o 0o 01.5 3o 0o 0o 01.5 4o 0o 0o 01.3 0o 0o 0o 0
o 0o 0o 0o 0o 0o 0o 0o 0o 0o 0o 0o 01.3 0o 0o 0o 0.8 0o 0o 0o 0o 0o 0o 0o 0
oooooooooooooooooooooooo
oooooooooooooooooooooooo
oooooooooooooooooooooooo
oooooooooooooooooooooooo
oooooooooooooooooooooooo
TOTAL STRUCTURE DEGREES OF FREEDOM = 18__THE_HALF~BANQ~IDTH = 9 AT MEMBER~
STR. OB SUPPORT REACTIONS DRIVE A
JOINTNUHBER
1
LOADCSE
12345
X-REACTION(KNTS)
+28.121+1.034
-11.200+0.089+1.337
Y-REACTION(KNTS)
+807.857+30.000-59.688
+5.297-27.485
Z-REACTION(KNTS-H)
+0.025+0.017
+27.571+7.782-6.081
2 1 -28.121 +807.8572 -1.034 +30.0003 -11.200 +59.6884 -0.089 -5.297
_________ 2 __ _ _ _ __=1_~3~7 -42. 292
STR. OB SUPPORT REACTIONS
-0.025-0.017
+27.571+8.374+6.869
DRIVE A
JOINTNUHBER
1
2
LOADCHB
123456
123456
X-REACTION(KNTS)
+39.515+23.404+38.035+24.955+39.587+23.404
-39.515-52.524-38.035-54.075-39.587-52.524
Y-REACTION(KNTS)
+1135.608+1013.013+1094.845+1058.013+1139.845+1013.013
+1135.608+1168.202+1086.370+1213.202+1131.370+1168.202
Z-REACTION(KNTS-H)
+0.060+35.876
+6.260+35.902
+6.286+35.876
-0.060+35.808
+6.665+35.782
+6.640+35.808
.\1 ~
------------------------------------------------.------------------------------
STR. OS MEMBER END ACTIONS DRIVE A
MEM LD. AXIAL (KN) SHEAR (KN) BM (KN-M) AXIAL (KN) SHEAR (KN) BM (KN-M)NO. CSE LOWER JT. LOWER JT. LOWER JT. UPPER JT. UPPER JT. UPPER JT.
1 1 +808.347 -0.126 +0.025 -808.347 +0.126 -0.6622 +30.018 +0.005 +0.017 -30.018 -0.005 +0.0093 -60.040 +9.126 +27.571 +60.040 -9.126 +18.5444 +5.297 +0.094 +7.782 -5.297 -0.094 -7.3075 -27.423 -2.288 -6.081 +12.273 +1.763 -4.152
2 1 +808.347 +0.126 -0.025 -808.347 -0.126 +0.6622 +30.018 -0.005 -0.017 -30.018 +0.005 -0.0093 +60.040 +9.126 +27.571 -60.040 -9.126 +18.5444 -5.291 +0.273 +8.374 +5.291 -0.273 -6.9965 -42.220 +2.800 +6.869 +11.920 -1.750 +4.628
3 1 +1.337 +5.805 +1.701 -1.337 +5.805 -1.7012 -0.004 -0.000 -0.011 +0.004 +0.000 +0.0113 -0.000 -23.953 -32.337 +0.000 +23.953 -32.3374 +0.076 -1.339 -1.621 -0.076 +1.339 -1.9935 +3.921 -12.305 -3.792 -3.921 -11. 995 +3.375
4 1 +763.522 -0.342 -1.038 -763.522 +0.342 -0.6882 +30.018 +0.001 +0.002 -30.018 -0.001 +0.0023 -35.973 +6.258 +13.793 +35.973 -6.258 +17.8284 +6.633 +0.216 +8.928 -6.633 -0.216 -7.8365 -0.111 +2.582 +7.945 +0.111 -2.582 +5.101
5 1 +763.522 +0.342 +1.038 -763.522 -0.342 +0.6882 +30.018 -0.001 -0.002 -30.018 +0.001 -0.0023 +35.973 +6.258 +13.793 -35.973 -6.258 +17.8284 -6.632 +0.244 +8.989 +6.632 -0.244 -7.7585 -0.068 -2.583 -8.003 +0.068 +2.583 -5.050
6 1 +1.445 +5.052 +1.466 -1.445 +5.053 -1.4662 +0.004 -0.000 -0.012 -0.004 +0.000 +0.0123 +0.000 -18.574 -21.825 +0.000 +18.574 -21.8254 -0.074 -1.945 -2.085 +0.074 +1.945 -2.4865 -3.401 -0.019 -2.271 +3.401 +0.019 +2.227
7 1 +720.446 -0.388 -0.778 -720.446 +0.388 -1.1852 +30.018 +0.005 +0.010 -30.018 -0.005 +0.0173 -17.261 +2.604 +3.996 +17.261 -2.604 +9.1614 +8.579 +0.209 +9.921 -8.579 -0.209 -8.8635 +0.026 -0.817 -2.830 -0.026 +0.817 -1.296
8 1 +720.446 +0.388 +0.778 -720.446 -0.388 +1.1852 +30.018 -0.005 -0.010 -30.018 +0.005 -0.0173 +17.261 +2.604 +3.996 -17.261 -2.604 +9.1614 -8.573 +0.385 +10.244 +8.573 -0.385 -8.2995 +0.031 +0.816 +2.824 -0.031 -0.816 +1.301
9 1 +25.339 +60.000 +1.185 -25.339 +60.000 -1.1852 +1.034 -0.000 -0.017 -1.034 +0.000 +0.0173 +0.000 -17.161 -17.161 -0.000 +17.161 -17.1614 +0.088 +8.581 +8.863 -0.088 -8.581 +8.2995 +0.817 -0.003 +1.296 -0.817 +0.003 -1.301
STR. OS MEMBER. ~ND ACTIONS DR-TVE A '-::'l1lI8'3 \
MEM LD. AXIAL (KN) SHEAR (KN) BM (KN-M) AXIAL (KN) SHEAR (KN) BM (KN-M)NO. CMB LOWER JT. LOWER JT. LOWER JT. UPPER JT. UPPER JT. UPPER JT.
1 1 +1136.295 -0.162 +0.060 -1136.295 +0.162 -0.8812 +1013.216 +11.694 +35.876 -1013.216 -11.694 +23.2123 +1095.506 -0.095 +6.260 -1095.506 +0.095 -6.7404 +1058.243 +11.702 +35.902 -1058.243 -11 .702 +23.2265 +1140.533 -0.087 +6.286 -1140.533 +0.087 -6.7266 +1013.216 +11.694 +35.876 -1013.216 -11. 694 +23.212
2 1 +1136.295 +0.162 -0.060 -1136.295 -0.162 +0.8812 +1169.320 +12.034 +35.808 -1169.320 -12.034 +25.0013 +1087.035 +0.389 +6.665 -1087.035 -0.389 -4.7024 +1214.347 +12.026 +35.782 -1214.347 -12.026 +24.9875 +1132.062 +0.381 +6.640 -1132.062 -0.381 -4.7166 +1169.320 +12.034 +35.808 -1169.320 -12.034 +25.001
3 1 +1.798 +7.837 +2.280 -1.798 +7.837 -2.2802 "1- +1.805 -23.302 -39.742 -1.805 +38.976 -44.3343 +1.866 +6.766 +0.999 -1.866 +8.908 -3.8914 +1.798 -23.302 -39.758 -1.798 +38.976 -44.3185 +1.859 +6.766 +0.983 -1.859 +8.908 -3.8756 +1.805 -23.302 -39.742 -1.805 +38.976 -44.334
4 1 +1075.782 -0.460 -1.399 -1075.782 +0.460 -0.9262 +983.990 +7.674 +16.529 -983.990 -7.674 +22.2483 +1036.061 -0.288 +5.741 -1036.061 +0.288 -7.1984 +1029.017 +7.675 +16.532 -1029.017 -7.675 +22.2515 /, +1081.088 -0.287 +5.743 -1081.088 +0.287 -7.1956 +983.990 +7.674 +16.529 -983.990 -7.674 +22.248
5 1 +1075.782 +0.460 +1.399 -1075.782 -0.460 +0.9262 +1077.520 +8.596 +19.333 -1077.520 -8.596 +24.1053 +1025.450 +0.656 +8.593 -1025.450 -0.656 -5.2784 +1122.547 +8.595 +19.330 -1122.547 -8.595 +24.1025 +1070.477 +0.655 +8.590 -1070.477 -0.655 -5.2816 +1077.520 +8.596 +19.333 -1077.520 -8.596 +24.105
6 1 +1.958 +6.821 +1.961 -1.958 +6.821 -1.9612 +1.951 -17.325 -26.393 -1.951 +30.967 -30.3503 +1.891 +5.265 +0.311 -1.891 +8.377 -3.9674 ~ +1.958 -17.325 -26.411 -1.958 +30.967 -30.3335 +1.898 +5.265 +0.293 -1.898 +8.377 -3.9496 +1.951 -17.325 -26.393 -1.951 +30.967 -30.350
7 1 +1017.628 -0.517 -1.035 -1017.628 +0.517 -1.5752 +950.162 +2.860 +4.145 -950.162 -2.860 +10.3093 +979.465 -0.357 +6.887 -979.465 +0.357 -8.6914 +995.189 +2.868 +4.160 -995.189 -2.868 +10.3345 +1024.492 -0.349 +6.902 -1024.492 +0.349 -8.6656 +950.162 +2.860 +4.145 -950.162 -2.860 +10.309
8 1 +1017.628 +0.517 +1.035 -1017.628 -0.517 +1.5752 +995.041 +3.909 +6.245 -995.041 -3.909 +13.5093 +965.743 +0.832 +9.245 -965.743 -0.832 -5.0394 +1040.068 +3.901 +6.230 -1040_.068 -3.901 +13.484--- -- -- -5 +1010.770 +0.825 +9.231 -1010.770 -0.825 -5.0646 +995.041 +3.909 +6.245 -995.041 -3.909 +13.509
9 1 +35.759 +81.000 +1.575 -35.759 +81.000 -1.5752 +34.208 +58.691 -20.709 -34.208 +103.309 -23.9093 +34.278 +87.865 +8.691 -34.278 +74.135 +5.0394 +35.759 +58.691 -20.734 -35.759 +103.309 -23.8845 +35.830 +87.865 +8.665 -35.830 +74.135 +5.0646 +34.208· +58.691 -20.709 -34.208 +103.309 -23 ..909
~ ,C) ,/:,(. :9."\
,.
ECOLE POLYTECHNIQUE DE MONTREAL 8/N:801492F'f':lGE :1.
=============== 1 MAG E S 3 D ================ Copyright l~) 1984 Celestial Software Inc. =======:=:==~===:::=:~===========~============:=:==:==:===
0.'::, / (i::~; 19016: ::'7: 40
CHEel< DI:=:UI'1ETF(Y
MATERIAL PROPERTIES
1'10" 'h,~t- i dlNo
:1.
Modulus of' WeightElasticity Density
Coafi' ofTharm2.1 Ex p..
1. • l. OOOOE'-'O~:';
F'ni =:·50n ' t~;
F:a.ti D
:1. • !30E--0 1.
Gheë.\r Webl'hicl1..1.1. LI. S
1,,06000E+IO
I\IOOE CUDRD 11'.!(fl''E'';
Node
1--.L
:~:
4c"..1
--,1
89
10.1.1:1.2n141516:1.718:1..:;>
202122 .
24
l''~ ~"}'
..::.. 1
28
X·-Coord.
~5" OOOOOE:: ...MO 14 •.~.200()E-01:~:. 54000E--0 1.:1.. '/:1.0001:-:--"010.000001:-:+00l. ft E.~7~75()OE+00'1. • 7:Y;~00E:--H)0
1" :5:2(,,00E+·007. U3000E-OlO. 00000[:-+·00::~;. 2~5000E+OO
:~; "OO::~;OOE +(>02. :?9(=lOOI::+00:1. • 244001:=:+00(1 .. OOOO()E+OO1.1·. é<:~::;(iOE +00'1-. :?T~;OOI=:+00:::n :·~7000E··t-OO
1. • 77000E+'00o. 0i)000!'::-~00
'~~n OOOOOE+OO5 .. ~"s4:300E+OO4. 24::~;00E+002 .. 2 C?éJOOE+OO
O"OOOOOE+OOs, OOOOOE+OO4.6:1.900E+00:5.5:5600E+00
(1 .. 000001:::+00:I..9:1.000E-:--ül:~; .. ~.;.tI·OOOE '_"014.6::,:0001:::: .... 0 :L
:,5" OOOOOE-"O 1O.OOOOOE+OO'7. 1~JOOOE'-(;J,1 .. :~;:,~bOOE+OO1. 73000E+001•• 87:";001::::·1-000 .. ooooor:.+oo1.21.14001::+002 .. 29t3001:::+00::',;" 00::";001::+·00~.::: n 25000E:+-000.000001:,:+00
:1. • 7'70001:::"1-00:::;;" 27000E:~ +004 " 27~~:O()E+00.f.I. .. 62::.~OOE:::+(jO0.00000[+00::.~ Il 29600E+00I.~I·" 2,(t~~;OOE+O()
~.~j .. 54~:'OOE+OO
6,,00000E+00(1 Il 000001::::+001.. (yl:~;()OE+OO::';. ~;:~;bOOF'::+00
Z.... COCH'"d.
4.000001:::+004.00000[+004.00000E+00LI· Il OOOOOE··t-OO4 .. 00000E+OO4.00000[+004-" OOOOOE+O(i4.00000E+004·.00000E+004" OOOOOE'+OO.<1." OOOOOF.:+004 .. 00000[+004 .. 00000E+OOil·. 00000[+004 .. 00000E+004.000001'::.+004,,00000E+004.00000E+00"1·" OOOOOE+004.00000E+00<1·.000001:::+004 .. 00000E+OO4 .. 00000E+OO4.00000E+004.00000E+00~~. OOOOOE ..H)O~.::: .. OOOOOE+00:~; .. OOOOOE+OO
ECOLE POLYTECHNIQUE DE MONTREAL 5/NlS01492!,,'{<GE :2
~====~========= 1 M'A G E S 3 D =~=============
,,= Copvraqh t; (c) 1984 Cf,'!lE;~;tië.J. ~30ftl/Jë'I'''C' Lnc , '"======:=========:=:======~:===~===:::=======:==~:===== ==
O,~'J / 0::::; 19016::;':'7':44
CHETI< GEDI'1ETRv Version 1.,,6 O?/OI/BB
:~~;4i";1' I~':'
'~:'~J
~)E.l
:~;9
404·14:2
'43liA4~.:ï
k""Coon:l "
1 " '1' l :'!,(JO[+00O.. OOOOOE+OO4" OOOOOF.:+00::::;.69{:.OOE,+OO
2" E~2800E+OO1" ~;:~:100E+OO
0 .. ooooot.:~ +00:::" OOOOOE+002" T7':;~OOE+OO
:2,,1:2100E+OO1. " 14BOOE>:"OO0 .. OOOOOE··... OO2" OO(iOOI:::~+,001,,84BOOE+001. ll-1.4001:.+007 • b~';OOOE>-'O 1O"O()OOO[+OO
4- Il 61900E+()O~) .. OOOOOE+OOO.OOOOOE+OO1 . 5:3100E +00z, f:12::300E'+OO:~:: lt 69,{]OO!:::+(I04,,00()OOE+00o"OOOOOE+ôO1,,14800E+00z, 1 ;,: :LOUE +002,,7'7200E+OO:~:;" OOOOOE +00Q.OOOÔOE+OO
, '7 • 6:'jOOOE: ....·01.i " 41 L10UE+OO1.ü4BOO[+OO21100000E+OO
~; .. OOOOOE+00:3 n OOOOCiE +00:~ .. OOO(lOE +00:,'2. OOOOOE+002.00000E+00:? a (lOOOOE+002 .. 00000E+OOl .. OOOOOE+OO:L'.OOOOOE+OO1.00000E+00l "OOOOOE+OO1 "OOOOOE +00(1" OOOOOE~tOO·
O.. OOOOOE+OOO"OOOOOE+OO0.00000(+000,,00000[+00
PLATE ELEMENT CONNECTIVITY
F'I ,,11.:,('2
No" l ,] 1."r-. L.11a1':.ND.
bheax' WebThi c:kl"1f'.;~'s
(.\';p("~C't
r~(ë,tin
Pl ,O\tê~
Type
mlTR.ITRITFnTRITRITRInnTHITPITI~:I
TRIT1'::1TF:ITmTF:I
1
"!101 11 ,,·,. ,,::.
1:5141 ~.i
16
1-,f
ctil·
10
"'7t
14
?3 }'Ei 94 ~,
9 105 4
11 ?? 11
1:2 88 12
13 14'i 8
14 1~;
10 '-?
1 :2"OOOE-01. 1,,313E-011 2 OOOE-OI 4.936E-011 2 OOOE-01 1,,320E-01l 2"OOOE-Ol 4,,928E-Ol1. 2,,000E-01. 4,,918E-011 2"OOOE-01. 1,,318E-011 :2"OOOE-01 4,,934E-011 2"OOOE-OI 1.313E-011 2,,000[-01 4 "!36E-011 2.0001~-Ol 8,,555E-Ol1 2"OOOE-OI 4.932E-011 2"OOOE-Ol 8,,549E-Ol1 :2.000E-01 8,,549E-011 2.000E-Ol 4.932E-011. :2 OOOE-01 B,,568E-011 2"OOOE-01 4.936E-Ol
1.833E+OO Mem+8end1,,526[+00 Mem+Bend1 834E+00 Mem+Bend1,,5:2?E+OO Mem+8end1.530E+00 Mem+Bsl"1d1 834E+OO Mem+Bend1.5:23E+OO Mem+8end1."B33E+OO Mem+Bend1.252E+00 Mem+8end1,,042E+OO Mem+8end1,,254E+OO Mem+8el"1d1.04:2E+OO Mem+Bend1,,042E+OO Mem+Bend1,,257[+00 Mem+8end1.,,043E+OO Mem+Bend1.251E+OO Mem+Berld
ECOLE POLYTECHNIQUE DE MONTREAL S/N:S01492PAGE 3
=============== 1 11 AGE S 3 D ================ Copyright (c) 1984 Celestial Software Inc. =~==========:=============:==_.~_._------_.==========:= = = --
06/()3/90].6:37~~·9
CHECK GEO~ETRV Version 1.6 07/01/88
PlateNo.
Nod e s Mat1 J K L No. Thicknes5 Area
Shear WebThicknes5
Aspect PlateRatio Type
TRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRITRIrRITRITRITRITRITRITRITRITRITRITRI
2324
2627
29303132
34
3839404142434445464748495(l
51.52
54
1 11712181319142(>
16~~~
.~L
17
1824192521272228
29243(>
26322733283429
31
3833
344036
16121713181419152117
182319242()
262727232824~n
L7
31273228332934303632
333834
41
1216131'7191~
201417211.8
241 l~
19
26
29
302427312832342835293236
3739
4034
1 2.000E-Ol 8.553[-011 2.000E-Ol 1.217E+001 2.000E-Ol 8.547[-011 2.000E-Ol 1.216E+001 2.000E-Ol 1.216E+001 2.000E-Ol 8.547E-Ol1 2.000E-Ol 1.217E+00j, 2nOOOE-()1 Bn553E-·()11 2.000E-Ol 1.217E+001 2.000E-01 1 578E+001 2.000E-Ol 1 216E+001 2.000E-Ol 1.580E+001 2.000E-Ol 1.580E+001 2.000E-Ol 1.216E+001 2.000E-01 1.578E+001 2.000E-Ol 1 2J7E+001 1.500E-Ol 1.640E+001. Ih500E-(>1 lh366E+OO1 1 500E-Ol 1.640E+001 1.500E-Ol 1.366E+001 1.500E-Ol 1.366E+001 1.500E-Ol 1.640E+001 1.500E-Ol 1.366E+001 1.500E-01 1.640E+001 1.500E-01 1.366E+001 1.500E-Ol 1.093E+001 1 500E-Ol 1.366E+001 1.500E-Ol 1.094E+001 1.500E-Ol 1.094E+001 1.500E-01 1.366E+001 1.500E-Ol 1.093E+001 1.500E-Ol 1.366E+001 1.500E-01 1.093E+001 1.500[-01 8. 198E-011 1 500E-Ol 1.093E+001 1.500E-Ol 8. 199E-Ol1 1.500E-Ol 8.199[-011 1.500E-01 1.093E+001 1.500E-01 8. 198E-Ol1 1.500E-01 1.093E+001 1.500E-Ol 8. 197E-Ol
8.837E-Ol Mem+Bend7.631E-Ol Mem+Bend8.834E-Ol Mem+Bend7.630E-Ol Mem+Bend7.630E-Ol Mem+Bend8.834E-Ol Mem+8end7.631[-01 Mem+Bend8.837E-Ol Mem+8end6.699E-Ol Mem+Bend5.957[-01 Mem+Bend6.697E-Ol Mem+8end5.963E-Ol Mem+BendSn963E-01 Mern+Bel-jd6.697[-01 Hem+8end5.957E-01 Mem+Bend6 699E-(>1 11em+Berld6.017E-Ol Mem+Bend6.534E-Ol Mem+Bend6.017E-Ol Mem+Bend6.531E-Ol Mem+8end6.531[-01 Mem+Bend6.017E-(ll Mem+8end6.534E-01 Mem+8end6.017E-01 Mem+8end7.139[-01 Mem+Bend7.852[-01 Mem+Bend7 133[-01 Mem+Bend7.862E-Ol Mem+Bend·7.862E-Ol Mem+Bend7 133E-Ol Mem+8end7.852E-Ol Mem+Bend7. 139E-01 Mem+Bend8.716E-Ol Mem+Belld9.762E-Ol Mem+8ende.721E-01 Mem+Bend9.763E-Ol Mem+Bend9.763E-Ol Mem+Bend8.721E-Ol Mem+Bend9762E-Ol Mem+Bend8.716E-Ol Mem+Bend1 104E+00 Mem+Bend
ECOLE POLYTEC~INIQUE DE MONTREAl_ S/N:801492P{~C1E 4
=============== 1 MAG E S 3 D ===============,= CopyTight (c) 1984 C€"l€è!,;i.:id.l ~30ft\.'li11·-\" 1nc •. =======;====================~====================
,06/0~::/90
16: ::';B: 14
CHE::CI< GECiMI::TF<Y
Pl ate 1\1 0 cl e '=;
1'10 l ,j f·· L" -._..--_ .._-- -------_._--------
TRI ~5B 42 ~~::7 '1- 1TFn "-0 :::::7 4":.\ ::':0....1 !
TF~ 1 60 4~'; :::;(3 4':.'nu b 1 :::::EJ 4~": 44.TI~:I 62 4<1· ~::'r ::,8TF:I 6:~; :::::c.i LiA ·1.1·::;TRI 64 4~:) '1-0 7'-ï
·.)7
~·Iat
1\10. Thi c::knE~·5<';
1 1.500E-01 5.463E-011 1.S00E-01 8.200[-011 1.500E-01 ~~468E-01
1 1.500E-Ol 5.468E-Ol1 1:500E-01 8.200E-Ol1 1.500E-Ol 5.463E-011 1.500[-01 8. 197E-01
She;;;r l<JebTh i c kn("!,;~,i
{~spect Pl ,,\t.E~
F;:2\ti(J TYPE!
1.260E+00 Mem+Bend1.104E+00 Mem+Benci1.259E+OO Mem+Bendf.259E+OO Mem+Bend1. l04E+00 M~m+8end
1.260E+OO Mem+Benci1.104E+OO Mem+Bend·
NodeNo
H..:?Si:I'-·i3.i ntDi n2é:t. :i. ons
1 X Y Z F(): RZ...~ X v Z ..... r·' -,.I~. -" L
-~ :~ y 7 FU- ,-4 X Y Z -- RZ,~ X Y Z - RY Fa•••••1
.:'0 ..- \{ -- F,X I~Z
)" -- ..- ..... Fa8 -- -- _o. ... RZ9 -- .-- -- RZ
10 X _o. --- -- F~Y [-'·7"\ I-
1 1 - Y - r.x _. l'\Z1 2 r~z
13 F<Z1. '1- 1'·'7, 1_.
1 .::' X F<Y F;:Z._,
l t, - Y --- F:X --- FU1 )" F~Z
lf:) ._. _o. -- -- r'""\ L .
1 C1 RZr
::'::0 X. ..- .'... ..- ·F~Y 1'< Z,~ i - Y _.. F<X -- l" ..r.c; ... J••
:22 ._. -- -- ... ru.....,~ Ri"':..'-'
2·f.l· .- .- .-- .- fU2~5
.," F:Y p ..'!, -, f..
ECOLE POLYTECHNIQUE DE MONTREALF'jé\GE ~:.'
= = == :=.:::=:..::: ~-;:::::: == =:: :::::.-:::::::=:=::
= Copyriqht (c)
S/N:801492 06/03/90l t): 3S: 3D
1 MAG E S 3 D ===============1984 Celestial Software Inc. =
CHECf< CJr:::OI'1ETPY
1\100::1>2. No
Version 1.6 07/01/88
F~t~~:;t t- clin t,
Directi ons
26 -- y - f'ç X - HZ';:'~7 _o. _o. -.. - F~:Z
28 F~Z
29 r:.:z:-':::0 X .-. ._. -- FçY nz:~:; i .- y -- I~X _o. f~: Z-:!"....i HZ'~.' ..:...
'-:"~r -- - -- ..- RZ'._' .-::'A _.- -- -- - r.;,:z'-:"1:::- X _o. _. -- RY F,Z'M:' 'HJ
:56 ..- Y -- RX F<Z~7
_o. _o, - .- RZ38 - -- - _.- R:?39 Rl40 X _... H'" _.- 1=('1 Fali 1 X v r Z 1:\ X F~Y r~zr
4') X Y Z FçX F~Y Fç Z4::"; X y Z I~ x 1:\ Y RI44 X Y Z f~X FçY F''"~. '-4~5 X 'y' Z PX F(y' R"c:
ECOLE·POLYTECHNIQUE DE MDNTREAL S/N~801492
prim,,:· 1=============== 1 M ~ G E S ~ D ================ Copyright (c) 1984 Celestial Software Inc. =====:=:=:=:==:===:==~:=:==~===::=:~=================:== == = := == -
06/0::::;/9016: 42: ::;0
·SOLVE DISPLACEMENTS Version 1.6 07/01/88
L 0 A D C(.j!3E 1
Fy
APPLIED LDAD VECTDR
Fz
:[
''':':''._'
"'11
8<?
1.011121:5:1. LI1.516:1.7lB1920
,..~ "i",::...::
24
26
.OOOOE+OO
.OOOOE+OO.00001:=:+00.. OOOOE+OO.OOOOE+OO.. OOOOE+OO.O()OOE.+OO.OOOOE+OO" OOOOE+()O.OOOOE+OOn OOO()F::+OO.OOOOE+OO.OOOOE+OO.. OOOOE+OO"OOOOE+OO"OOOOE+OO.OOOOE+OO.OOOOE+·OO.. OOOOE+OO"OOOOE+OO" 48n5E+04· t:r?~';6E +OLI·.70f.->OE+04" :~:'El66E+·04· 9'704E+0~';· 1542E+(l~)v 27~:IJE3E +O~;
· :,221 :':~E +O~.)
" 12·q2E··l-O~:ï
" :31. 9~5E+04· :':::::,98E+05• LI·::':1. 9E+05· :~;2~~;4E +O~;
" 181:::;;E+OS. 4767E+04
"OOOCIE+OO ·-.5909E+03"OOOOE+OO -,,1670E+04"OO(IOE+(IO -,,2157E+04·.0000E+00·-,,1.670E+04nOOOOI~+OO --n5909E'~03
"OOOOE+OO -.3825E+04"OOOOE+OO -.85j8E+04.OOOOE+OO -,,9422E+04.OOOCIE~·OO -.8S:36E+04.OOOOE+OO -.3824E+04uOOOOE·1··()O '-u6i~36E+04
"OOOOE+OO -,,1.424E+05~OOOOE+OO -.1560E:~·05
"OOOOE+OO -,,1.424E+05"OOOOE+OO -,,6439E+04·.OOOOE+OO -.9132[+04n()OO()E+(I(1 -'.1996E+OSuOO()(lE+(lÛ --,,2166E+(l5.OOOOE+OO -.199f.->E+05.OOOOE+OO -.9132E+04.9704E+03 -,,9665E+04.3681E+04 -,,1982E+05n7322E'~-OL~ --n2123E+05u9685E-b04 --,.2()75E+()5n4875Ei-()4 -'n9665E~-04
u3()70E'~()4 --n1542E·~C)5
nl].69E~·05 '-u3031E+05.2264E·~()5 -n3165E-~05.
n3Û37E+05 --n:3280E+'(15n16(}5E'~05 -u16(>5Ei-05,,4767E+04 -,,2398E+05,,181.3E+05 -.4683E+05u3234E+()5 -... L~576E~·~05,,4319E+05 -,,4683E+05,,2398E+05 -,,2398E+05
"OOOOE+OO.OOOOE+OO.. OOOOE+OO1l0000E+OO.. OOOOr:.:~+OO.OOOOE+OO.OOOOE+OO.0000E+Où"OOOOE+OO"OOOOE+OO.OOOOE+OO.OOOOE+OO"OOOOE+(i().OOOOE+OO"OO.oOE.+OO"OOOOE+OO.OOOOE+OO.OOOOE+OO.OOOOE+OO.OOOOE+OO.. OOOOE··..·O()"OOOOE+OO.. OOOOE+OO.OOOOE'I-OO"OOOOE,+OO.OOOOE+OO" OOOOr::+OO.OOOOE+·OO.OOOOE+OO.OOOOE+OOnOOOOE+OO.. OOOOE+OO.. OOOOE+Oq" 0000[:-1-00"OOOOE+OO
"OOOOE+(lOIl OOOOE'+'OO"OOOOE+OO"OOOOE+OO.. OOOUE+OO"OOOOE+OO
' .. OOOOE+OO. OO()OE: +O(i"OOOOE+O(i.OOOOE+OO.. OOOOE+OO.. OOOOF+OO.00001::+00"oOOOE+cio" OOOOE+·OO.OOOOE+OO" 00001:::+00.OOOOE+·OO.. OOOOE+OO.OOOOE+OO.OOOOE+OO.00(101:.:+00"OOOOE+OO" OOOOE+'OO"OOOOE+OO"OOOOE+OO.OOOOE+OO,,00001:.:+00n oooor:=~+oo
.. OOOOE+OO"OOOOE+OO.OOOOE+OO.00001:.:+00.00001::,+,00.. OOOOE+OO
.. OOOOE+OO.. OOOOE+OO"OOOOE+OO.. OOOOE+OO.OOOOE+OO.. OOOOE+OO.OOOOE+OO.. OOOOE+OO,OOOOE+OO.OOOOE+OO
Il ()()OOE+(iO.. OOOOE+OO"OOOOE+OO.OOOOE+OO.. OOOOE+OO.OO(H)[:+OO.OOOOE+OO.OOOOE+OO"OOOOE+OO.. OOOOE+OO. OOOOE:-H)(l"OOOOE+(lO.OOOOE+OO.. OOOOE+'OO" OO(JOE+OO.OOOOE+OO.OOOOE+OO.. 00001::::+00" 00001:.+00.OOOOE+OO
. .. OOOOE+OO"OOOOE:+OO,,00001::+00"OOOOE+OO.. OOOOE+OO
ECOLE POLYTECHNIQUE DE MOI~TREAL S/N:801492PAGE 2
=============== 1 MAG E S 3 D ================ Copyright (c) 1984 CBlestial Software Iric. ==================================================
'06/03/901~:42:53
SOLVE DISPLACEMENTS
L 0 A D CAS E 1
APPLIED LDAD VECTOR
Node
36373839404142434445
n2663E+(>5,.4681E+05. 3429E+(>5.1.992E+CtSn5289E+()4. 1295E+(15.2211E+05n1575E'~()5
. 9557E+04. 2572E+04
Fz
• 19C}2E+05 --.S088E+OS"3429E~~Cl5 -.48j~9E-~()5
.4681E+05 -.5088E+05D2663E~-05 -.2663E+OSn2572Ei-04 -'D1295E'~-05
.9557E+04 -.2409E+05"1575E'~()5 --D2227E-~C)5
n2211E'~05 -u24()9E'~05
,,12(~5E'~05 -.:l295E:·~05
Mx
'nOOOOE+(>()nOOOOEi-ob.OOOOE+OO.OOOOE+OO.OOOOE+OO.OOOOE+OOuOOO(>E+O().. ()()()()E·~·OO.OOOOE+OO.OOOOE+·OO
My
.OOOOE+OOnOOOOE~-OO
.OOOOE+OOnOO(IOE+ûO• (>O(>()E+OO.OOOOE+OOnOOOOE+O(>.OOOOE+OOnOOOOE+OC).OOOOE+OO
.OOOOE+OOnOOOOE~'O()
.0000(+00.OOOOE+OOu()O()OE-~(tO
.OOOOE+OO
.OOOOE+OOnOOOOE+OOu(:)()()OE+()û
.OOOOE+OO
ECOLE POLYTECHNIQUE DE MONTREAL S/N:801492PAGE 3
=============== 1 MAG E S 3 D ===============., Cop vrI qh t (c) l':N34 CEë1,=~~oti.",.l '30ft.l'larf.·' Irvc , =,
06/0'5/90:L6: 42: ~57
:::;: =:::-.:: :::::=:~:: = =:: ::::::::;:::::::::: ::: ~":::::: ;:;::::::: ::;:: :-.:;:;::::::::;:::::: ::::::::-.::::: ::::: ::::: ::::.:::::: ::::: ::::: :::::: :=:: ::::: ::::: ::::: :;:;::.-:= :.-:::::::::::: ::-.::::;::::::'~-: ::===
SOLVE DISPLACEMENTS Ver'siOI-1 1.6 ()'7/01/8~3
L0f21D Cf':;SE 1
D 1~:;PL.,(,\CElvll:JHS
y ..,L.
11
Rot a t ion sY
.,t:
_._---_._-- ----_..._------'. ----------- / -----------_.. _._-------- ----_._----
" O()OOE+(lO"OOOOE+OO• (iOOOE+OO.OOOOE+OO.OOOOE+OO"OOOOE+OO..OOOOE+OO.OOOOE+OOft OOOOE:""'OU" 0000[:+00.. OO()(iE+OO.. OOOOE+OOft (lOOOE+()(J.OOOOE+OOft OOOOE.+OO.OOOOE+OO• OOOOF:+1)01I0000E+OO~ ()OOOE+OO.OOOOE+OO.OOOOE+OO
Il OOOOE'+'OO.OOOOE+OO"OOOOE+OO"OOOOE+OO.OOOOE+OOft OOO()E+OO.OOOOE+OO" OOOOF:'+OO.. OOOOE.+OO.OOOOE+OO.. UOOOE+OO• OOf)OE +0(1.. OOOOE+OO.. OOOOE+OO" OOOOE+·OO.O()OOE+OO.. OOOOE+OO». ()OOOE+00.OOOOE+OO
.. 1044[·-0::::• :1. 004E·-0:Z.8086E--(C" 41 ~:'7E·_-O:~;
'. (lOOOE +00• 04:~;BE -·0::,
.. h42:;;~E····O:.'.':
.OOOOE+OO-_.• 14071:'>·0::,._" J211E·····0:::;~'- .. CJ476r::·-··ol.j.'-'" 66i.-,5E·_·(i.ll
"OOOOE+(JO....• O:~:~;OE·····O::';
-_." 7 ss :1I:: --cc._-" 64:;~9E --0:::;.-~" ~S962E ·"-O~~:'
.. OOOOE+OO_._" T5 ::; 1.1':: _.- O~::;_.. " :,,;4 Ci9E -·05..- .. ~m.j:>9E>-0::;-'. ~:;65~.=5E"···O:~:'
.. OOOOE+OO" l 9~:·~:.)E~ ·~~O:~;
" 1 '·i':Z~j[_·O::~:
• n~".;~'51E-··(l4
.._.• :::; :1. ~':i 2 E .... 0 ·<~I·
n OOOOE:+·OO·....• 11.:'~1.E····0~:;
-~ v 560:::::[:-··04v-; 2864E··-04--" 57EnE-··04
"OOOOE+OO" ::.1 7'7'E-·0:,• ::;(14~":E--O~;
• :1. 78BE-·0::";• 1.026E--O~ï
.OOOOE+OO
" 64l'38E-·Oil.904BE····04" :1. 1.6Cl'E·_··I):~:
• 1. T77E··-0:";.OOOOE+OO• ~'848E -··0:;" 63B6E --(1::'" 7~37 4E ·_·0:::;• B247E --0::,.. OOOOE+OO" '~.'.'.6:,2:::;E···0:::
" :;Ei56E·-0::;
.OOOOE+c)()/ m." 41. :~:~:;E···-O::':
1 ._" fJ0t3~.5r:=:·_·0:::;
./ --" 1O(i:5E·····02./ '~-ft l04~;E-·~O~~
.OOOOE+·OO./ -- Il ~~:;~.::J2:~:::E -···0:3/ -··.6447[··-0:::;1 .._" 8C)J:~:F.>·0:::;
! 8472E--0:::;1I0000E+OO
.. 5~;96E-"O~::'" 7~~:'9~jE --·o:·~:;
"OOOOE+OO• :,'~fci42E·--04 .
-" 97:27E --0fJ..._" 1BfNE>·O::;-" J S'Oll='-·O:;
"OOOOE+OO" t:.O:L 9E--0<1" 2126[·--04.. 4709E-·04" 10/j.1E-0~;
.. OOOOE+OO/ .- .. ,:':,::;72E··-061 ._- .. 1809E--0::::1 --. ~::':(J71E -·0::;/ .-. ::'; J 92E·-0:::;
-- ft 270hE ~-(i::~;
-" ::?:~:;65E~-O::::;
--. 2T271': --O~:';
-r , 511. ~:':E -0::'
_.• :'~997E·····0~::': 1--. Z791F.>·0::'; 1-·.472:2E····0:::: /._- .. 45:'9F>·0~::': 1-r , 4440E··O~; 1.. " 4.S~':;8E --0::; /._-" 482~)E -··0::': /.--" 4:>l8E·--0:, /-. ~'860E-0:::; /--" ::::':7f'JBE-·0:"; 1-" 4q::;4E--0:::; 1.._" Ij.:~; L::':E --0:::: /--. :";091. E --0::': /
"OOOOE.+OÔ" 670:SE-(l'f• l. :,.: ::,0 E:-·0 :~;
• :1. 808E-·0~:'
• 2179E _._,:):~;
"OOOOE+OO• ~;O~::; 1E·-04· m 7BE--04" 1 ~:;~:i~~E --0::::" 1. 75:~:E-··0:~:
"OOOOE+OO .OOOOE+OO /.·OOOOE+OO "OOOOE+OO.OOO(IE~-OO nO()OOE'1"ü()nOO(jC)E-~()C) uOC)OC)E'~()O
~(IOOOE~-OO nOOO(:)E+(lû.OOOOE+OO -.157BE-02 ift 1996E--(i5 -n1602E·--02.3645E-OS-,,1632E~02
.. 4686E--üS -·'ft1603E-(12.5046E-OS -,,:L58:LE-02nOOO(IE'~OO --n2106E~M_02 1• 3760E-05 -.2131E-02 /.6918E-OS -,,2:L66E-02 1.. 8665E-05 -":~137E-02 1.9205E-05 -.2114E-02 1.OOOOE+OO -,,1401E-02 1.. 5506E--OS --,,1393E--02 1,,1027E-04 -,,1394E-02 1• 1248E-04 -,,1402E-02 j
• 1309E-04 -,,:L410E-02 1"OOOOE+OO -,,2761E-03 1.72()7E-OS -«2966E-03 !" 1::::;76E·-(j·Q" 1. 6 25E--O.'f• :l.678E·--()lf"OOOOE+OO~ 70:::~5E--04
" 1.3Z'!E-··0::';" '1947E-0::;
"OOOOE+OOIf 0000['+-00"OOOOE+OO"OOOOE+OO.. 00001::"1-00
Il 41551:::-0~1
.. 3:2:1.0E-O~)." 17~5,0E _··O~.5
.. OOOOE+OO" 8187E:··-O~.S
" l' 6~;;:~2E--O~.)...S09~::iE -'-O~5
" ~:'T~;9E _··O~:;
.OOOOE+OO• 1lé:8E-04Il 1OBBE-_.(i,q .
.. 90 1. ~iE ·'-05• '~·fJ9~3E ·_·05.OOOOE+OO" 15l:;;:~E --011" 1400E--04.1.206E-04.. 6~.6~:.;E-05.;OOOOE+OO• ::~ 1.66E·-0~';
" LFr:;~.::; E.-O~;· l ~~,OOE --O~:':
• 72~5~::E:: --·04.. OOOOE+OO" :,~ 1. 24E·-O::;" 1.741E-0:~;
.12:1.0E·-0::,• 679BE-04.. OOOOE+OO• :1. 7~';7E -0:::;• 1:::;:Yi'E-0::;• B10~~L::::···04
" '502~:'E--04.. OOOOE'+'OO
1
.... \-:r
..::. . ..:.
4
24
-.r 1·..:·c.:-
6789
10II121:514:L5161.7lB19
r'I""",..::...::.
26272829:::0
ECOLE POLYTECHNIQUE DE MONTREAL S/N:801492PAGE 4
======~======== 1 MAG E S 3 D ================ Copyright (c) 1984 Celestial Software Inc. =
06/0319016:43:23
SOLVE DISPLACEMEN-rS Version 1ub 07!(>1/88
ri 5 l a ·t i Q n 5
NodeT r aX y 7.
rAS E
1,f x
1
I~ 0 t a t ion 5
y z.---------- ---------- ---------- 1 ---------- ---------- ----------
414 ~. 4
434445
.OOOOE+OO
.()()()()E-~()O
"û(>()(IE+OO
.OOOOE+OO.OOOOE+OO
.OOOOE+OO,OOOOE+OO.OOOOE+OO:OOOOE+OO.OOOOE+OO
~OOOOE+OO 1.OOOOE+OO 1nûOO()E+ûO /.OOOOE+OO /nûOOOE'~OO /
.()OO()E·~OO
.OOOOE+OO
.OOOOE+OO
.OOOOE+OO.OOOOE+OO
.OOOOE+OO
.OOOOE+OO
.OOOOE+OO
.OOOOE+OOnÛ(IÛOE+OO
nOOOOE+OO.OOOOE+OO.OOOOE+OO.OOOOE+OO.OOOOE+OO
ECOLE POLYTECHNIQUE DE MDNTREAL S/N:801492P(')GE 1
=============== 1 MAG E S 3 D ==============="" CClpyr··:lçjht (c) 1984 Cf:èlf,:~:;t.i<:'.l f,rrJ·ft.l>-j,J.t-·E? lric , '":~============:===================================
06/0::;/\)0:L6: l~~':;: 19
SOLVE PL_A TE LOADS/STRESSES
Load Case 1 :
PLATE LDADS AND/OR STRESSES
f)t.I...·~2S~~:; ~3u.r··f
St rI',;"'·~;
c-' .·.:)1 Ç1m~:\
~JhE:~ë\l'"·
y
XZ8:l"qrna. Ybh02iW· VI
Si qma. 1
***PLATE 1***Stress TOP .jI47E+06 .5541E+07 -.2472E+06 :55~4E+07 .7021E+06
Varl Mj.se~5·:= D~5238E+07
Stress MID n84t)OE~-05 n1523E+()5 " 6901E+(14 n8528E~-()5 n1455E:-~'05
--87. 1
~3tl'" e:;.s
Stress
St.r- i~SS
st. r:0,",·5
Ivl 1Il " 99 1:::::E·'· 0 ~.':;
BOT . 2728E+06
t'IID • 8666E··'··0~:'
BOT ~:!B7(iE+06
Von ~Ij.ses = n7902E+(15.5511E+07 .2610E+06 -.5318E+06 -.5524E+07
VOl' ~Iises = n5278E+07"·IH<··~+'L.ATE 2**-11·
. 1235E+07 . 1929E+06 . 1262E+07 -.1023E+06Von Mises = .1317E+07
~85761~·.·(:)5 a1426E~·04 .99281~+(:15 n8561E-~05
Von Mises = • 932C)E+(15-.1063E+07 -.1900E+06 .2993E+06 -.1090E+07
Var, Mises = .126é~E+()'7
.,,' *.;.; F' L.?\T E: ::;** ·If
.. ~iB'i::~;E+()7 --. 1676E+06 "5B7BE+07 .. 7~~4BE+06Von Mises = . 5540E+07
.1649E+05 .B822E+04 . 8775E+05 . 1539E+05Von Mises = .8116E+OS
-.5B40E+07 . 1852E+06 -.5805E+06 -.5846E+07
t'Ji. 8
--7,,9
--BEl" 1
7" 1.
2 .. 0VOI-' Mj,ses = .. 5579E+07
lH.·-l\-F' L.;:j TE 4 ·IH,·1t
Stress TDF' -.1284E+06 . 1156E+07 .1771E+06 . 1180E+07 -.1523E+06Von Mises = . 1263E+07
St.ress MID .1028E+06 .8134E+05 . 2276E+04 .1030E+06 .8110E+05Von Mj,ses = .94(>lE+05
Stress BOT .3340E+06 -.9937E+Ob -.1726E+06 .3560E+06 -.1016E+07Von Mises = . 1233E+07
·IHH(·PL(.) TE ~:;tf ·It ·If
82. ::::.
6 .. 0
···7 rr~:'
ECOLE POLYTECHNIQUE DE MONTREAL S/N:S01492P(~(-3E :2
=============== 1 MAG E S 3 D ===============Copyright (c) 1984 Celestial Software Inc. =
:===:===~:=========:========:==:====:==================
06/0:3/9016~ l~.~:): 2"j'1
SOLVE .PLATE I_OADS/STRESSES
Loa.d c.,;se 1. ~
Version 1.6 0'7/01/88
~)tl·-·f!,~SS Sur·+'Stt-E~SS
E; i c:J ni,,'. Xr.~hei"H· XZ
fJi qmE\ YSh E-~ (:3. !'_' 'Y Z
'T'au XY 1 E.i Çjffi2 z An"gle
Stress TOP -.1.279E+06 . 1159E+07 -.1628E+06 . 1179E+07 -.1482E+06Von Mises = . 1260E+07
~3t.r-ess, l'lID . J02BE+0f:, .. 812~51:::+05 . 5~i.T7E+0"t . 1041E+06 . 7989E·H)~)Vor1 ~Iises = • 9438E+(:)5
Stress ·BOT .333~E+06 -.9965E+06 .1740E+06 .3558E+06 -. l019E+07Von Mises = • 1236E+07
***PLr:'jTE: 6-lHH~'
Stress TOP . 7739E+06 . 5875E+07 . 1726E+06 .5881E+07 . 7680E+06Varl Mises = n5537E+07
Stress MID . 9398E+05 . 1629E+05 -.6108E+04.9446E+05 .1582E+05Von Mises = . 8763E+05
Stress BOT -.5859E+06 -.5842E+07 -.1848E+06 -.5794E+06 -.5849E+07Von Mises = .5581E+07
·...**PL(.lTE 7-Jd-·'·Stress TOP -~6258E·i·05 n1228E+O"7 -u 1866E'~06 n125i~E4'C)'7 --~89(13E+05
Von Mises = . 1301E+07Stres~_:; l''IID .. l()!56E+O/J .. BOE:7E+O~} .. ~~94~,?E+.o4 ft :I.062E+·06 Il B02~~ÎE+'O~5
Vor} Mises = .9591E+()5E,tl···E'S'S BOT . :~·T:'BE·f·06 ._" l 0.',6E+07 . 19'=l~;E+06 . :-'::01 :'jE·H).', _.. 109-<1-E+·07
Von Mises~ . 1271E+07·;HHi·PU-\TE 8iHH('
Stress TOP .7305E~06 ; 5546E+07 . 2468E+06 . 5558E+07 .7178E+06Von ~Iises = "5236E'~-07
St~ess MID . 9482E+05 . 1707E+OS -.7735E+04 . 9559E+05 • 1631E+05Von Mises = . 8857E+05
Stress BOT - .. 54û8E+()6 ·- .. 5512E+()7 - .. 2623E+(:l6 - .. 5270E+06 -"5525E~'07
Von Mises = . 5282E+07***PLATE 9***
Stress TOP --.1540E+07 .1019E+07 -.2109E+06 .1036[+07 -.1557E+07Von Mises = .2261E+07
Stress MID .8217E+05 . 8429E+05 . 5347E+03 .8442E+05 . 8204E+05VQn Mises = . 8326E+05
Stress 80T . 1704E+07 -.8504E+06 .2120E+06 . 1721E+07 ~.8679E+06
VCln 11ises = ~2283E'+'(l7
***PLATE 10***
-l32.9
-4 .. ::;
-·2" 0
--81 .. 9
8.8
B. 1
fj7. 1
..... :::. 0
76 .. 7
4.7
ECOLE POLYTECHNIQUE DE MONTREAL S/N:801492PAGI:: ';
=======~======= lM AGE S· 3 D ===============,~ Copyr-:i.qht (c) 1.9::3'1 Celest.i.,o\l f;oftwc\n=~ Lnc, =,================================================
06/0:::/<':':;0
SOLVE PLATE LOADS/STRESSES
Si::. II'""" E:=1=:, SUt·~ +~3t~-(~~~S;
E,igrn2\ X~3hear XZ
r"i qll"i2\ vSh'2En- '-iZ
c"' .\oJI grnë\
f3tl.... éss:_~ ·Tm::' - · 1877[+07
Stl"'E'SS t<1 1D ·C:?:~;94E+O~)E~tt-es::> BOT · 206~:.;E+07
St r-e:,~5 TOI"' ..-· 1~59f:3E+07
Str-E~SS 1-11 D · 9 1 /:'tOE+05
Stress BOT ·178 lE+07
Str-ess TOP -.1840E+07 -.3821E+06 . 1. 290E+06 -.3707E+06 -.1851E+07Von Mises = • 1697E+07
!3tress MID n8b4·2E~-()5 .E3862E·~05 .42()OE~·04 n91E37E+()5 n831.8E·i-05Von Mises = n8785E+OS
Stress BOT .2013E+07 .5593E+06 -.1206E+06 .2023E+07 .549L~E+06
Von Mises = .1812E+07***PLATE 11***
St~ess T[)P' -n16(l5E+()7 "9227E+()6 -"2295E~"()6 N9L~3~·E-~()6 -"1626E-~07
Van Mises = .2251E+07Btr-ess MID . 8526E+05 .8216E+05 . 4692E+04 . 8865E+05 . 7877E+05
Von Mises = .8415E+05Stt-·E~SS BOT . 1776E-I-"07 ._.. 75BL1E+06 .2::<:89r::+06 . 179[.,jE+07 --. 7807E+06
Von 11ises:~ h2290E~-07
***PLATE 12***Stress TOP -.1876E+07 - 3464E+06 . 1658E+06 -.3286E+06 -.1894E+07
Von Mises = . 1753E+07Str-ess MID . 9405E+05 . 8253E+05 .5284E~04 .9611E+05 .8047E+05
Von 11ises = u8932E~'()5
Str-ess BOT .2064E+07 .5114E+06 -.1552E+06 .2080E+07 . 4960E+06Von Mises = . 1881E+07
***PLATE 13***-.3499E+06 -.1545E+06 . 3344E+06 .-.1892E+07
Von Mises = . 1749E+07.8190E+05 . 2700E+04 . 9452E+05 .8133E+05
VOI-j Mj.ses:= u8866!~~'05
.5137E+06 .1599E+06 .20B1E+07 . 4974E+06Van Mises = . 1882E+07
***PLATE 14***.9137E+06 . 2382E+06 .9361E+06 -.1621E+07
Von Mises .2241E+07.7706E+05 -.3634E+02 .9160E+05 . 7706E+OS
Von Mises = . 8526E+OS-.7~96E+06 -.~~83E~06 • 1804E+07 -.7818E~06
Von Mises = u229'7E+07
t~5 hO
~52 .. :~:.
~::;::.i" 9
8::~; a Cf
21. :::
·-84. ;~:
11z, 1
84.h
.-. 1
·•· ...·~.pL,0.tT[:~
ECOLE POLYTECHNIQUE DE MONTREAL S/N:801492I:'AGE '1
=============== 1 MAG E S 3 D ===============-r: Cop vrLqh t; (c) 19f.J4 CE~lesti<:ü ~3o+h'J'3n,~ Iric , ,~
====::=========~=:======:==;========================
06/0~':::/90
l'::l~ 4~:;: 45
SOLVE PLATE I.DADS/STRESSES
Loaci C3~5e 1"
VerSi(Jr1 1.6 0'7/01/88
StTf,~S", Sur+st.:t-(!2SS
Siqm", >:ShE?<':W XZ
~} :i. (~:.! rn ':.\ V:3hf:'::\I'- Y Z
1 E::i. qmè\ ?-lngl e
Str-ess TOP _.. ·1226E+07
Stt-E~SS 1-11:0 ·7("19~iE +O~:iSt.t·-eSf:"l BOT · 1 ~~:.t=j6E+07
E3tt'·e'=.~5 TUP - · 1~':~;9E+07
Stl'--E;;:;'-;:;; I-'IID ·B31 1 E'+'O~;
E\t.res:-3 BOT · 15::5E+-07
Stt-e::;~:; TOF' -..·1 :'~'~7BE'''''Oj'
t')tress t'I 1: D " 8252E+O~)
~3t:.r·E?S~:; Elor · l 44:;':E+07
Stress TOP -.1833E+07 -.3911E+06 -.1229E+06 -.3807E+06 -.1844E+07Von ,Mises = . 1686E+07
Str-ess ~IID " 9268E*05 n830~·E+b5 . 3655E+03 ,,9269E+(l5 . 83ü:5E+05\/on Jvli. :~'f:.\S;::::: n88;:~<:,:)[:~·+·(J5
Stress BOT .2019E+07 . 5572E+06 . 1237E+06 .2029E+07 . 5468E+06Von Mises = . 1818E+07
***PLATE 16***Stress TOP -.1533E+07 .1011E+07 .2109E+06 .1028E+07 -.1551E+07
Von Mises = . 2248E+07Stress MID .89~2E~05 .7726E+05 -.,1148E+04 . 8963E+05 .7716E+05
Von Mises = . 8409E+05stress BOT . 1712E+07 -.8562E+06 ~.2132E+06 . 1730E+07 -.8738E+06
Von Mises = . 2295E+07***PLATE 1j~*.
.·-n2·756E~-06 ···u8711E+05 -~2é~77E·i·Ot! -"1234E'~07
Von Mises = . 1125E+07. 8995E+05 .5518E+03 .8998E+05- .7992E+05
Von Mises = . 8540E+05a4555E~'06 ~'8822E+05 a1395E~-07 ~4472E·I-06
Von Mises = . 1233E+07***PLATE 18***
-.6979E+06 .1327E+05 -.6976E+06 -.1359E+07Von Mises = . 1177E+07
. 8987E+05 . 5299E+04 .9278E+05 .8021E+05Varl !~is;es = a8'717E+û5
.8776E+06-.2668E+04 . 1525E+07 .8776E+06Von 11ises:= a 1326E+û7
***PLATE 19***-.2482E+06 -.1378E+06 -.2301E+06 -.1296E+07
Von Mises = .1197E+07" 8659E+OS a6752E~-04 a9160E~'05 a775(IE~·()5
Von Mises = . 8543E+05.4214E+06 .1~14E+06 . 1465E+07 . 3994E+06
Von Mises ~ .1311E+07-)j- -il- ;;-F'1..ArE :,::0 -K- -~- -)<
ri ... ~
Ln ..::.
85a ::::;
B8.9
61. :~:
~,
..... " .,::.
ECOLE POLYTECHNIQUE DE MONTREAL S/N:801492PAGE 5
=============== 1 MAG E S ~ D ==============='" Copvrt qht; (c) j'7'84 C~?lesti.i3.l. SClftlfldl-',:! Iric; . ================:==:========~=:==:===================
06/0:::;/CJO16:4,:,:00
SOLVE PLATE LOADS/STRESSES
L02l.d Case l. :
~;t r e12~'f::~ SU.r"· +Str-€~5S
S i.ÇJIT'ii') X~,h E!,7,W xZ
Si qrno., YShf:~!~:\I'~' V Z
1 Ei gma. --,L !'tngl. e
f:~ t. r- E':~ ~5 5- MI D "t~7)526E +0::';
St r f:~E; ~~~ DDr · 16::'::0[ +07
f3tt-(::'~S-;5 TOF' "M' · 1:~!77E+07
St.rE?s·~:; 1"1 ID ·8911·2E +O~':;
f3t f~ (~S~N:.:; BOT 14-~56E+O'/
S t. r (,.:;:. s:~ =:. TOP · 1. :;~5f:3E+O'7
f)tr'E?!SS; 111D · D(?Ç):~:;E +o::.=.;
Str-(,'ss BOT · 1. ~:';::':8E +07
f.-li.:r-ess TeW ..." 12~)OE+07
S1.:t-ess t'1 1 D ·B~_~=j3E +O~5~3tr-e·.~3'S; BOT · 1"lO 1E+07
Stress TOP -.1428E+07 -.5505E+06 .7196E+05 -.5446E+06 -.1434E+07Von Mises = . 1254E+07
Stress MID n9541E~05 n8227E+OS D7·790E·I~04 ~9903E'~05 "78651~4'05
VOll 11ises = .9C)58E4·05stress BOT • 1619E+07 .7150E+06 -;5638E+05 . 1623E+07 .7115E+06
VDn Mises = . 1409E+07*·~·"*·PL(·rrE ;:.! I-lHH~'
Str'(~s~o TOf:' -"" 14:":OE·H)7 ..... " ~:5~.:.D11+06 ",-"":':'::::':91::::··1··0;:;-·,, 5~.;::"6E+·06 -:'; j4:~;LJ.E+07Von ~lises = u1253E4'07
.8145E+05 .1048E+04 ,,95j4E+05 ,,8137E+05Von Mises = .8918E+05
,,7210E+06 . 6549E+05 . 1625E+07 .7163E+06Von ~Iises = .1411E+07
~H;.PL.f~TE Zë:·"**-.2594E+06 . 1430E+06 -,,2397E+06 -.1297E+07
Von Mises = ,,1195E+07.8066E+05 -,,1425[+04 . 8965E+05 .8044E+05
Von ~Iises = " 8542E+05.4207E+06 -.l l f5 9 E+0 6 . 1476E+07 .4006E+06
Von Mises = .1322E~07
;;··lf ·lie 1'" L.,é\ T E 2~, 'll' 'i:- .~;
-.7091E+06 -.1216E+05 -.7089E+06 -.1359E+07Von Mises = . 1177E+07
.8350E+05 -.1363E+04 .9021E+05 . 8322E+05Von ~Iises = h8693E+OS
~8761E+()6 . 9432E+04 h1538E+()7 ~8759E4'06
Von Mises = . 1337E+07'IHl--lO-F'I_ATE ::A***
'-a2883E+06 a8603E~-05 --'a2805E+06 --h 12:38E+·07Von .Mises = . 1124E+07
.8249E+05 -,,1350E+04 . 8604E+05 . 8198E+05Von Mises = . 8408E+05
,,4533E+06 -.8873E+05 ,,1410E+07.. 4451E+06Ver) Mi,ses = 1248E+()7
4.,.
' .. ',)
4. 1
iï""'\ r,C'!~::. Il •..:.:.
"'-9.. 0
-7. '':;
-11. 5
R.......
BlI· • El
····20. ::3
·lie·!<·II-F'L.I-\TE
ECOLE POLYTECHNIQUE DE MONTREAL S/N~801492
P(.lGE 6=============== 1 MAG E S 3 D ==============="" COPYI'·iÇlht. (c) 1cl~34 C,,!le~:;tiF.ll f:lO·ft.l'.l'ln,,~ Iric •....====:===============~:========~=========:===========
06/0:::;;/SiO16: 46: ~:;::',
SOLVE PLATE LOADS/STRESSES VerSi(Jf1 j.• 6 07/ül/~38
f3tl'-'E'SS Sl.t,lr-of ~:):i. qmë:\ XStress ~3~'ear XZ
Hi qmi::'\ VShealr' ''('Z
Té\\.I. XY Si qm,,:\. l Angle
TOF'
r-IID
BOT'
" 787'-iE+0~),
ft 1. :::::6f:3E +O~.:.:j
-.4540E+06. n53CI3E+OSVon ~/I:i. :'=,E~S
.9195E+05 . 3894E+03Von l'h ",es ""
.14B6E+()6. :"i48:5E+Ot".9196E+05" ,36 ]::,E'+'0:5" 642::::E+06" é::.~>76E+06
-. 4·5~:]7E+Ob
. 7B7tiE+0~5
5 .. 0
88. ~;
S' e: ' 'ï-,- ',- ... ) . ~.:..
·*·"il·PL(.î·fE. :C~6''''1<'~
St.ress TOP .3867E+06 -,,2775E+06 -.4994E+05 ,,3904E+06 -,,2812E+06Von Mises = ,,5842E+06
Stress MID ~8040E+05 .9027E+05 ,,5474E+04 . 9270E+05 .7796E+05"}on ivii se" '" . B.b28,E+(Y.s
Stress BOT -.2259E+06 . 45BOE+06 .6089E+05 .4634E+06 -.2312E+06Von Mises = .6126E~0~
***Pl.JffE 27*.;:·;;-StresSi TOP ~3908E+06 -n2545E~+06 n 10()OE+05 u3910E~~(:J6 --u2546E'~06
\Ion r1i ses:, '" . 5.~.:521::::+i)6
Stress ~IID u7999E'~-05 "88()(IE~-()5 "89~'7E'1-04 u9378E4'(15 n'7421E4'05Von Mises = . 8569E+05
Stress BOT -.2308E+06 ,,4305E+06 • 7854E+04 .4305E+06 -.2309E+06Varl 11ises = .5815E-~()6
* iHlcPL. ('î'n:: ~:~8'''';;'·~
Stress TOP .7481E+06 .5616E+05 -.9010E+03 .7481E+06 .5616E~05
Vc)n 11i5es ::: "7217E'~CI6
Stress MID .9874E+05 .8198E+05 .1041E+05 ,,1037E+06 ,,7699E+05Velll Mises = .. 9328E+()5
Stress 80T -,,5507E+06 .1078E+06 .2173E+05 .1085E+06 -.5514E+06Von 11j,ses = n6129E'1-06
';;+J;-F'L..!-YfE :;:9,,, .;;,;St.ress TOP . 7466E+06 . 4737E+05 . 2884E+04 . 7466E+06 • 4736E+05
Von Mises = .7241E+06Stress MID . 9874E+05 .B194E+05 -.9110E+03 . 9878E+05 .8189E+05
Von Mises; = u91.51E+05Stress BOT -.5491E+06 . 1165E+06 -.4706E+04 ,,1165E+06 -.5491E+06
Von Mi,ses =. "6157E-~C)6
-··4. ::,
66.0
B5 .. 0
• <;
~57" 1
89 .. ::~;
--" 1
S8.·1
*·"il·PL(.îT·E
ECOLE POLYTEC~INIQUE DE MONTREAL 8/N:801492r='(~GI:::: 7
=============== 1 MAG E 8 3 D ================ Copyrigllt (c) 1984 Celestial Software Inc. =========================================:=============
06/0~5/C;'O
16:47:06
SOLVE PLATE LDADS/STRESSES Version 1n6 07/01/88
Stress Su~f Sign\0 XStress Shear XZ
~:;iqm,,\ Yf3heDT YI
Siqmi::i "1
n3789E'~-06 -,,2699E~'06 --u5:302E~-04
Von Mi SE?"" =n8823E+05 D81.25E~·05 --u2736E-b04
.3789E+06 -.2699E+06n ~:.:.i64~SE+O,~.
n8917E4'OS u8030E'~05 --:L 9. 1VOf1 Mises = .8509E-~()5
Stress BOT -.2024E+06 .4324E+06 -.1692E+03 .4324E+06 -.2024E+06Von Mises = .5616E+06
-lE+'WUiTE ::',; 1*-IH-
Stress TOP u3750E+(l6 -u2914E+06 . 5199E+()5 .379(IE+06 --n2955E+06Von ~lises = n5856E'i-06
Stress MID . 8845E+05 .8249E+05 -.2088E+04 .8911E+05 .8183E+05Von Mises = • 8570E+OS
Stress BOT -.1981E+06 .4564E+06 -.5616E+05 .4612E+06 -.2029E+06Von ~Iises = .5894E~-06
-**-~-PI r-:ITI:::: :3~2**-~-
Stress TOP . 1382E+06 -.4655E+06 -.5531E+05- . 1432E+06 -.4705E+06Von Mises = u5562E+(16
Stress MID .8221E+05 .8398E+05 -.1971E+04 . 8526E+05 .8094E+05Von Mises = .8318E+05
Stress BOT u2623E~-05 ·~6335E-~06 n5136E+05 ~6378E'~06 ,,2192E+OSVon Mises = .6271E~06
'f.- -.. -1< P L '~~I TE :~: :~~; -1< -~--I<
Stress TOP .1257E+07 .5863E+06 -.2418E+06 . 1335E+07 .5082E+06Von Mises = • 1167E+07
Stress MID -.4184E+05 . 1454E+06 -.2198E+06 .2907E+06 -.1871E+06Von Mises = .4170E+06
Stress BOT -.1340E+07 .2955E+06 -.1977E+06 -.2593E+06 -.1377E+07Von Mises = . 1267E+07
{(-*~'PI..._ATE :54-IH>'"*-Stress TOP .9915E+06 . 1224E+07 .1744E+06 . 1318E+07 . 8982E+06
Von Mises = n116bE~-q7
Stress MID -.1118E+06 .1012E+07 . 1257E+06 .1026E+07 -.1257E+06Von Mises_= .1094E+07
Stress BOT -.12,5E+07 . 7990E+06 . 7698E+05 .80191::::+06 -.1218E+07Von Mises = . 1762E+07, -
--90. (1
'--17" ~S
--El5.1
-5.2
B~.5" 2
--17.9
-79.6
61.9
-1<-;;'1I-PLP,TE
ECOLE POLYTECHNIQUE DE MONTREAL S/N:S01492P'":\i.3lë. El
=============== 1 MAG E S 3 D ===============,=, Copyr-iqht (c) 1984 C>21~2stii3.1 f"oftw21'-<? ï nc , '"==:~===============================:==============
06/03.19016: 47: 'lO
SOLVE PI_ATE LDADS/STRESSES
t.oad Ca.s(·::~ 1 :
Versi6n 1.6 (17/01./88
Stress Surf Sigma XStres~5 Sllear' XZ
biçJmë:\ Yf3h(.?ct t'M YZ .
Të:<u XY 1 Bigma ;2 {-1ngl e
E)i: r~ E-?S:3•
TOP • 8393E+06 .3435E+06 -.2244E+06 . 9258E+06Von Mises = • 8278E+06
MID ~.2774E+06 .9133E+05 -.1970E+06 . 1768E+06Von Mises = .4766E+06
BDT -.1394E+07 -.1609E+06 -.1696E+06 -.1379E+06Von Mises = • 1353E+07
*·;;.*PLJ,TE ~!;6'IHH-
TOP . 4995E+06 .1092E+07 . 1687E+06 . 1136E+07Vorl ~Iises = n9906E'1-06
MID -.3948E+06 .1045E+07 . 1206E+06 .1055E+07Von Mises = nl.3ü5E+(17
BOT -.1289E+07 . 9974E+06 . 7237E+05 . 9997E+06Von Mises = • 1990E+07
·..··I>*PL.ATE :',;}-\;* ....TOP .5051E+06 1112E+07 -.1597E+06 .1151E+07
Von Mises = .1003E+07MID -.3939E+06 .1050E+07 -.1027E+06 .1057E+07
Vorl Mises = h1305E~-()7
BOT -.1293E+07 .9881E+06 -.4571E+05 . 9890E+06Von Mises = • 1983E+07
...··jf·*PLf'ITE :~!;8'H";;""
TOP . 8390E+06 • 3483E+06 . 2448E+06 . 9402E+06Von Mises = .8442E+06
MID -.2847E+06 . 9374E+05 .2214E+06 . 1958E+06Von Mises = .5134E+06
BOT -.1408E+07 -.1608E+06 • 1980E+06 -.1301E+06Von 11i~es:: " 1379E-1-0"7
**··.·PI....f:1TE ~;", ;;.TOP . 9958E+06 . 1252E+07 -.1791E+06 • 1344E+07
Von Mises = . 1187E+07MID -.1153E+06 .1035E+07 -.1290E+06 .1049E+07
Von Mises = . 1120E+07BOT -.1226E+07 .8185E+06 -.7891E+05 .8215E+06
Von Mises = .1788[+07·;f·"*F'U~·TE 40';HH
.2570E+0.'.:>
'--" ::;629E+06
---·.1417E+07
. 4548E+06
··-.4049E+06
-"'" 12':"1E+07
-.401:1.E+06
"'-" 12'i'4E+07
" 2470E+'06
--" :::::BI:J7E+OC"J
·--.14::'8E+07
.. 90~:::6E +06
.-~ .. 1. 2~~~9E +07
-82" ;".
75.2
Rt::' 'ï1..••••..1 ....::.
'--76" 1
81.2
ïi";r '-i···~C·'·.;'" 1
··~B~7 .. 8
ECDLE POLVTECHNIQUE DE MONTREA~' ~/N:B01492
PAGE 9=============== 1 MAG E S 3 D ================ Copyright (c) 1984 Celestial Software Inc. =:==================================================
06/03/9016:48:13
SOLVE PLATE LDADS/STRESSES
Load Case 1:
Version 1.6 07/01/88
Str'eS5 S~lrf
StressSigma XSl·\ea~ Xl
Sig"lcl yShear YI
Tau XV 1 Angle
Stress TOP .1261E+07 . 5826E+06 .2552E~06 .1346E+07 ,.4973E+06Von Mises = . 1179E+07
Stress MID -.3910E+05 . 1396E+06 .2318E+06 .2987E+06 -.1982E+06Von Mises = . 4333E+06,
Stress BOT -.1339E+07 -.3035E+06 .2085E+06 -.2631E+06 -.1380E+07Von Mises = . 1269E+07
***PLATE 41***Stress TOP -.7938E+06 . 8300E+06 .1488E+06 .8435E+06 -.8073E+06
VOI-' 11j.ses = a 1430E+()'7Stress MID -.3799E+06 .B850E+06 .1273E+06 .8977E+06 -.3926E+06
Von Mises = .1146E~07
Stress BOT . 3392E+05 . 9400E+06 .1058E+06 . 9522E+06 .2173E+05Von Mises = .9415E+06
*~*PLATE 42***Stress TOP -.7321E+06 .1076E+07 -.1999E+06 .1098E+07 -.7539E+06
V6n Mises = . 1613E+07Stress MID -.4057E+06 .1077E+07 -.1731E+06 .1097E+07 -.4256E~06
Von Mises = . 1361E+07Stress BOT -.7921E+05 .1078E+07 -.1463E+06 .1097E+07 -.9741E+05
Von Mises = .1148E+07***PI_ATE 43***
Stress TOP -.7666E+06 .7892E+06 .1288E+06 .7998E+06 -.7771E+06Von Mises = . 1366E+07
stress M:[D -n4287E-~(j6 n9491E+()6 n 15:LOE-~06 n9655E~-06 -n4451E-~06
Von 11ises = . 1249E+07Str'ess 'B[)"l- -n9084E-~()5 n:ll09E-~O'7 .1732E~·06 .1.134E+07 -u1154E+06
Von Mises = . 1195E+07***PLATE LI4***
Stress TOP -.6739E+06 .1062E+07 -.1798E+06 .1081E+07 -.6923E+06Von Mises = . 1548E+07
Stress MID -.4499E+06 . 1109E+07 -.1918E+06 . 1132E+07 -.4732E+06Von Mises = . 1429E+07
Stress BOT -.2260E+06 . 1156E+07 -.2038E+06 . 1185E+07 -.2554E+06Von Mises = . 1332E+07
***PLATE 45***
18.5
79.0
84.8
84.3
83.4
-83.4
-82.9
85.3
83.8
81.9
-84.1
-83.1
ECOLE POLYTECHNIQUE DE MONTREAL S/N:801492F'(-IGE i 0
06/0',3/90U":48:46
=============== 1 MAG E S ~ D ==============="' COPYI·-j(.:.lht (c) 19B4 Cf.?lf.?~:;ti.ël.l Soft.\'JE,r',;~ ï ric , ""======:==;=====================:===============~~:=
SOLVE PLATE LOADS/STRESSES Versi.on 1.6 07/01/88
tJt:.I...·E·~S:;:::· ~3ul''' ofStf~e<..~~:;
~,i 9ma XShea.f- XZ
E:~i qrl'!E~ VSh E::~3.f- YZ
Si gm~:\ 1 bi 9fnë\ An91e
St.ress TOP -.6732E+06 .1070E+07 ·'.1896E+06 .1091.E+07 -.6936E+06Von Mises = . 1558E+07
Stress MID -.4492E+06 .1113E+07 .1954E+06 . 1137E+07 -.4733E+06Von Mises = . 1434E+07
Stress BOT -.2252E+06 . 1156E+07 .2011E+06 . 1185E+07 -.2539E+06Von ~Iises = u1330E"~()7
.***PLATE 46***Stress TOP -.7435E+06 .8135E+06 -. 1334E+06 .8249E+06 -.7548E+06
VOI-\ 11ises =: ul.369E+07Stress MID -.4267E+06 .9600E+06 -.1527E+06 .9766E+06 -.4433E+06
Von Mises = . 1258E+07Stress BOT -.1098E+06 . 1107E+07 -.1720E+06 . 1130E+07 -.1336E+06
Vell' !ylises:= .12031~~-()7
·",*·*Pl_.ATF~ LI·7"·*';:·Stress TOP -.7115E+06 .1087E+07 .2045E+06 .1110E+07 -.7345E+06
Von Mises = . 1608E+07Stress MID -.4039E+06 .1086E+07 • 1797E+06 .. 1108E+07 -.4253E+06
- VDn 1·'li".E?!s~" .1::':71E:+·07Stress BOT -.9638E+OS .1086E+07 . 1548E+06 • 1106E+07 -.1163E+06
VDn Mises = • 1168E+07·Mo·url..AfE 4(;HaMo
Stress TOP -.7783E+06 .8571E+06 -.1507E+06 .8708E+06 -.7921E+06VOn Mises = . 1441E+07
Stress MID -.3831E+06 .9066E+06 -.1298E+06 .9195E+06 -.3961E+06VOI-\ Mj,ses = ~1169E+(l7
Str'ess BOT "1206E+(l5 u9561E+06 -. 1089E4·06 .9685E+()6 -- .. 3463E+03Von Mises = . 9687E+06
·1;··"·"'·Pl..(")·lE 4<;·..·...·*Stress TOP -.1.882E+06 .1161E+07 .2087E+06 • 1192E+07 -.2197E+06
Von Mises = . 1316E+07
81.9
-8::::, l.
82.7
"-84·. 8
'-..84. ::';
-'·8:~:: .. ~;
Bl.4
Il :l O~,~·:~BI::.+()7. l59::''.E +07. ~366:::;E +06.1978E+07
84. ::;
"-" f:1()7:~:'E+O·~).1002E+07 .2164E+06Von ~'l:i. St",; =
. 84·39E+06 . 2242E·1-()6\/nn 1vli SEte;::; ::;:
.)t-* 'R-F'L.(.~ T L:~ ~:) o .;.~ '* ·t~
t-lID --.7814E+06
ECOLE POLYTECHNIQUE DE MONTREAL S/N:801492PAGE 11
=============== 1 MAG E S 3 0 ================ Ccpyrigl,t (c) 1984 Celestial Software Inc. =
06/(13/9(l16:49:19
===========~==~:======:===========================
SOLVE PLATE LUAOS/STRESSES Version 1.6 07/01/88
Load Case 1:
Stress SL.\rfStr-ess
Sigma XShear XZ
Sigma YSl,ear- YZ
Tau XV 1 Sigma Angle
Stress TOP -.3470E+06 .1099E+07 -.2700E+06 . 1148E+07 -.3958E+06Von Mises = . 1389E+07
Stress MID -.8418E+06 .1006E+07 -.3219E+06 .1060E+07 -.8963E+06Von Mises = . 1696E+07
Stress 80T -.1337E+07 .9128E+06 -.3738E+06 .9733E+06 -.1397E+07Von Mises = . 2064E+07
***PLATE 51***Stress TOP -.3711E+06 .1084E+07 . 2626E+06 .1130E+07 -.4171E+06
Von Mises = . 1386E+07Stress MID -.8371E+06 .1032E+07 . 2354E+06 .1062E+07 -.8663E+06
VCJ{-j Iylises = u16·72E·~-07
Stress BOT -.1303E+07 .9811E+06 .2082E+06 .9999E+06 -.1322E+07Var} ~li~3es ~ «2017E+O?
-79.8
-80,,4
-80.8
80.1
82.9
84.8
ft774(IE+û6 -u302é)E+(j6Von Mises =
.·9580E·~06 -n:3383E+06Von Mises =
. 1142E+07 -.3740E+06Von Mises =
***PLATE 53***
Stress
Stress
Stress
TOP -.5414E+06
MID -.8892E+06
80T -.1237E+07
***PLATE. 8403E+06. 1259E+07.1018E+07. 1704E+07. 1199E+07.2160E+07
--.6077E+06
-.9492E+06
-~1294E+07
-77.6
-79.9
-81.3
77.7
80.1
81.5
-84.6
-80.1
-82.8
. 9469E+06
n6076E~'06
-.1318E+07
-.8697E+06
-.1290E+07,,2155E~-07
. 1139E+07. 1402E+07.1066E+(J7.1679E~·()7
. 9984F+ü6.2013E+07
. 8409E+06. 1260E+07.1017E+07. 1701E+07. 1197E+07
p7755E+(:)6 p~;()09E-~06
Von Mises =. 9593E+06 .3321E+06
Von Mises =.1143E+07 . 3633E+06
Von Mises =***PLATE 54***
n1092E+07 -n2665E+(16Von Mises =
.1035E·~-07 -n2420E+06Varl Mises =
.9778E+06 -.2176E+06Von Mi~es =:
***PLATE 55***
BOT
MID
TOP
MID.889CIE+06
BOT -.1236E+07
TOP . 5422E+06
Stress
Stres~;
Stress
Stress
ECOLE POLYTLCHNIQUE DE MONTREAL S/N:801492F'l-'lC-1E 1:2
=============== 1 MAG E S 3 D ===============::::: C:(]pyr-ioht (c) 19E34 Cf:21E-!sti a.l ~:3Clft.l.~d.r-·E~ Inc:. ::=
06/03/9016: 41.:?: ~~j2
======~=================================:=====;=:=
SOLVE PLATE LOADS/S-rRESSES Version 1,6 07/01/88
yr-: {-)nglE?1Të:\U XYE:iqm"" y
She('~u- YZSi ç.:,lma~3hear-' XZ
Stl'~'es'=' TOI"" --· ;~O~·:~~.~~E+06
St. ~- es:·s MID --· 7B:~;f3E+06
S t. l''~ FE! s~, BD-r --- 1~:::70E+0:7
Stt'~(?s::~; TOF' .- · i 9T3E+07
S 1.':. 1"'" (.=~ S~ s 1'1 r D .. ~. · i ~-:'i4 1 r:: +07
Stlr'ess BOT "-- 1 109E+07
Str·E.~5S TUP - ·206~jE+07St r: E~SS:, l'II D - · 166~iE+07
Stress TOP -.3585E+06 .1095E+07 . 2703E+06 . 1144E+07 -.4072E+06Von Mises = . 1392E+07
Stress MID -.8447E+06 .1003E+07 . 3226E+06 - .1058E+07 -.8994E+06Von Mises = • 1697E+07
Stress BOT -.1331E+07 .9114E+06 .3750E+06 .9724E+06 --.1392E+07Von Mises = .2058E+07
-lHHWL{Hl::: 56-)1-*-j!-1166E+07 -.~143E+06 . 1199E+07 -.2349E+06
Vo~ Mises = u1332E+O'7.1011E+07 -.2209E+06 .1038E+07 -.8126E+06
VOll Mise~; = n1606E+97u8564E+Ot! -.2276E-~06 n8795E-~06 -,,1393E+07
Von Mises = . 1984E+07*-l\-*PL{'lTE ~j7-"~;*
. 7682E+06 . 4788E+06 .8494E+06 -.2054E+07Vqn Mises = . 2585E+07
. 8466E+06 • 4635E+06 .9334E+06 -.1628E+07Varl Mises = u2245E+07
. 9250E+06 . 4482E+06 .1019E+07 -.1204E+07Von Mises = . 1928E+07
***PLATE 58***.4759E+06 -.4334E+06 7.3654E+06 -.2175E+07
Von Mises = .2018E+07-.3887E+06 -.3646E+06 -.2919E+06 -.1762E+07
Von Mises = . 1635E+07Stress BOT -.1265E+07 -.3016E+06 -.2958E+06 -.2179E+06 -.1348E+07
Von ~Iises = ft1.254·E+07-j;--l\--l\-PLf:,-rE ~;9-l\--~--~
Stress TOP -.1854E+07 . 5268E+06 .4102E+06 .5955E+06 -.1923E+07Von Mises = . 2280E+07
Stress MID -.1445Ë+07 . 8305E+06 . 4525E+06 .9172E+06-.1532E+07Von Mises = .2143E+07
Stress BOT -.1037E+07 .1134E+07.4948E+06 • 1242E+07 -.1144E+07Von Mises = .2067E+07
*-..i;-PL.(.\TE bO-"*"-
71..1' Il 8
80.4
80. f3
-EU.3
78. i
'''N7~1. 7
....·7~.5" l
---74. :2
BO" ~3
79.2
Tl.7
~Oh
ECOLE POLYTECHNIQUE DE MONTREAL S/N:801492PAGE 13
=============== 1 MAG E S 3 D ==============~
= Copyrj,ght ,(cl 1984 Celestial. Soft~are Inc. -
06/03/9016:5():26
====:===========:==~==============;===============
SOLVE PLATE LOADS/STRESSES Versior\ 1~6 07/01/88
L.oad Case J.~
Stress Sur-·fStress
Sigma X8hear XZ
8ignl0 YSI,ear YZ
Tau XV Sigma 1 c' 'Jlgma 2 Angle
~~ ~
'~J •.~
74.4
'--80.5
-79.1
-77.7
Stress TOP -.1929E+07 -.4333E+06 -.3712E+06-.3462E+06 -.2016E+07 -76.8Von Mises = .. 1867E+07
Stress MID -.1584E+07 -.3714E+06 -.3521E+06 -.2765E+06 -.1679E+07.' -74.9Vor1 11ises = y:l559E-~07
Stress BOT -.1239E+07 -.3095E+06 -.3331E+06 -.2025E+06 -.1346E+07 -72.2Von Mises = . 1257E+07
***PLATE '61***.Stress TOP -.1929E+07 -.43111+06 .3648E+06 -.3471E+06 -.2013E+07 77.0
Von ~Iises = u1864E+()7Stress MID -.1584E+07 -.3688E+06 .3445E+06 -.2779E~06 -.1675E+07 75.2
Van Mises = . 1554E+07Stress BOT -.1238E+07 -.3064E+06 .3242E+06 -.2047E+06 -.1340E+07 72.6
Von ~Iises = .125(ll~+(17
***PI_ATE 62***Stress TOP -.1865E+07 .5258E+06 -.4106E+06 .5944E+06 -.1934E+07
Von Mi~;e5 = .22901~-~07
Stress MID -.1453E+07 .8278E~06 -.4543E+06 .9150E+06 -.1541E+07Von Mises = .2149E+07
Stress 80T'-.1041E+07 . 1130E+07 -.4980E+06 . 1239E+07 --.1150E+07Von Mises = .2069E+07
***PLATE 63***Stress TOP -.2077E+07 -.4772E+06 .4318E+06 -.3681E+06 -.2186E+07
VOI-' ~Iises = ~202·7E4·07
Stress MID -.1673E+07 -.3893E+06 .3625E+06 -.2940E+06 -.1768E+07Von Mises = . 1641E+07
Stress BOT -.1269E+07 -.3013E+06 .2932E+06 -.2193E+06 -.1350E+07Vor\ 11ises;: n1255E+07
***PLATE 64***Stress TOP -.19~2E+Oj
Stress MID -.1549E+07
Stress BO'T --n1115E+07
n7~3:~;E'+'06 ·-n4825E·~06
Varl Mis~es =.8425E+06 -.4660E+06
Von Mises =.9217E+06 -.4495E+06
Var1 Mises =
n2593E+(j7.9301E+06 -.1636E+07• 225ûE+07.1016E+07 -.1210E+07. 1931E+07
-80.3
-78.1
,- ,----,
s ~1
1a}
1
1 -
1
»: , /"
I--I~~
,1
-1 50°J<Str\)
/;, - ----'
r 1 1 /=r;'i
1
G\0oo
-'>Lnoa
>\J\oo
>\f\oo
GOC D
MO DE LE M &'11-\ E. M A-II QuE Dll LOG! C\ E L MOSS (\)ES\ G1'\ \)\\ B- &~\ER)
;f-I------- _
SITE ~TAMBACOUNDA
v
vr TESf:3E DE: &Bf,J:m~
m Tr·
Tfr P, }.. S .~ :\
l/Ti'·· 1. ·_··:l /TI'·
18" ()O.zr, 0027 .. 00~,?5" 0018 .. ()O:2~l" 0027 .. 00
14 .. 001. s. 001:,3 .. 0016 .. 00~~5" 0032,,0021 Il ü()
2~5 .. 00
3:t .. OO
26 .. 002~2" 00
3::~~ .. O()~~;2" 0032" ()O3:2 .. 00::;:L "00
-:~:9" 0029 .. 0027 .. 0027 .. 0026 .. 0026 .. 00
, '_., 1 (J()~ S S---..!.<J .-) 25,,00
2~;:;" 00:~:5" 00:2~) .. 00
1 .. 002 .. 00:~~ .. ()O
4 .. 00~.:; .. 00
7 .. 00Bu!)O9,,00
10 .. 00:l 1 .. 001.2 .. 00l:::~" 0014 .. 001. s. 00:L6.. 00:1.7 .. 0018 .. 00
:I.9.. QO20 .. 0021" 002~?,. 00
~55 .. ()O1.7,,5011. 67
7 Il ()O
5,,00
:~;. 182" 9:,~·~
2,,692" ~50
2 .. 06:1. .. 9·4
:l .. EiLJ.:l .. ).. ~:~
1." 5'1
(;" ()3
1) .. 060 .. 090 .. :L1.0 .. 1-'1·0" :L70" ::::0
-O .. :;:~6
0" :,~~9
0" :3;:L0 .. ::::;40 .. 370,,1.[0
0.4:::0" 4t,0,,490 .. ;51
0 .. ~'::j4
0" ~5'7
0 .. 60
0 .. l-?70 .. 940.910 .. E~90" E3tJ0 .. E~:-3;
0 .. 80(l .. 770 .. 74
.0. ·710,,690 .. 66
O"bO0 .. 570 .. ~:j.q-
. 0" 510 .. .:1- I:Î
0" Lf::;o, 400" ::'7
20 .. 0025 .. 00~?5" 00::;2.. 0029,,00:2~~;" 0032 .. ()O
26 .. 002:::"0024" 0(.1
23 .. 00
:~3 .. 00
'0 . ~ ,~
23 .. 00:~~2" 0022 .. 002:l .. 0021 .. 00:20" 00H:LOO1[-3,,0018 .. 00:l6" 0015,,001,(1-" 00
2:3 .. 0024 .. 0025 .. 00:,"26 .. 0027 .. 00~,~~8" 0029,,0030,,003:t.,00::~;2 .. 00::~~~~;" 00:3,(1·" 00
i, 521 .. 46:t .. .q.()
:l .. 2::':;:l • 2:lL :l7:1. • :1.:.51" 091 .. 061. .. 0:::;
0 .. 66-0,,690 .. 710 .. 740 .. ï70,,1300 .. B30" f36.-. '-~q
\j" c."
0,,910 .. 940 .. 97
0 .. ::::;4
0 .. 26
0 .. ~~:O
o. 170 .. lil·0" 1 :1.
0" 0/70 .. ()60 .. 0::::;
-1y:::rrJJ::pnoc:-
Il
-z.
Q
..8
.. -8
a ..Ill 0 1 :J
~
.U
...- :
...I-.t·,' .....•
.~-l-
n-H-lw:IJI"-
:r ..J-
-J..~I .. I L
- -1- _ - .. .. ~~=-: -......--=f-f:tl=t+H; ~l .. - ·t-+-~-I-T 1-
I.i,' Il
.dA ...1ZZiMtAi!W ,_1st&: hA 1:m••
.~
,'
,-------+---q--
1
t
/7'--~\.:
i.
__ B \R1 \ 0 G RA P\-\ \E
1. Co.\CAI,\·6.es o~'\v~Q~es ~/Y\ BelÇîy\ A'IVY\f. s\JIÀ.IJOJv\.t ttôR~~BftEL<PO
PIERR.S C.H~P-ON
. ô
R€.d'~e.~ Ie-t.hl'\\ ql\.€. de C<N\CI:~ \-1 N' ~J c~e- [QlLUJ~ A~ Cl\..l."ro..~ -el- (rJ'I\!J-
tv-vq.t\. ~ ~ ~H1M À'i' 'IY\ ~ bWl.TOvv\'~ [ Qa Ek~ l,~ i t-eA
") COIJ-..'f"S s~~{'f\ t"AY d.~ BÜan A'('f'I\~\ .; \' \
fftU \.. \)\ N N ~ Ci? L\ \N
Li 'rC\.Jé .de B~t-(!Y\ A'rVV\~ '. loYV\.e. .<r _ TQ'YY\t 4 - TovYV~ b - ToVV\e -11-
R,C , LA\f~l\l<-
S CoJ.W-.\ rro..\iq\A..t dQh h\A'îs 1(;vl 1e~oh AryV\~
\"\. D\VER
\-\ va cl 'fQlA.Lt ~u..e. Ra ",,:hir c,
NGU'::JEM VAN IUU
1
~--------------------I~