· ' - .'

RËPUBLIQUE DU SËNËGAL

ÉCOLE POLVTECHNIQUE DE THIÈS

PRO JET DE FIN D' ET UDES

EN VUE DE L'OBTENTION DU DIPLÔME D'INGÉNIEUR DE CONCEPTION

TI T R E

DATE : J U tN 86

AUTEUR :MAYORO NLANGDIRECTEUR :THOMASAOU lNCO-DIRECTEUR :

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REM ERel EMEi'll5

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SOMMAIRE

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TABLE DES MAT~ERES

- \ri..-

MA"\E.Rt~FIGURE.~ .'TA~LEAUX

t>LAN~ , ,CHAP\T-RE. I .

I 1'1 TA.O'bUel"! ONCHAP,ïRE Ir

PONT- ROU,. E-i dào.\ 6 d'o.rc.h\ tQ.c..h.l.u... , , . . . . ..2. Co leul dll.. \m.. "'0. u.h ..u,. .J.e.~ 'fou.tu."::. ..3 Co"hC\\~~e..'::> dC2. d.\l'f\QV\~\o'C'\t\Q'M~v'\\- .. , .A, Co.\cuh o\~ t

L!STETI"TR6~

DES F-~ GURES

-i-'Ju'0Vl ~ - 'fo v..te.. ,.... '. '. ' ., 3

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- ec\"\~'r:> Q..") a.II'..\lQ.1..o 'rF OQ..~ t0\J.. \r~'i.. _ • • • - - • - -1 \ __ •• 1\

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LIST E DES TAIS LEAU X

-Ca \ cu.\.. de.::. So~\c..;'ta. ~;O'l\':> J~ o\Q..~·~\'\ _ - - - - _ - --1.

- c2SfQ.œ 'm.Q.V\.-h. 0\ U ci,trie.r~ _ _ _ _ _ _ - - - - - - 2.-

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l ~ ST E DES PLANS

PLAN P01

?LAN P02

?ASSt;.-RE LL(; ~ A Q, E. T ~\ L1&..t-.J '8..E.'ON P R Ec...ON'T RAi NI

?o~/'T E N A-~C H E. ?O~R. 1BETAiL e r ~N MA~D1JNER·I€1

, 1

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PO'3 .foMl ~ ROUIE E:N ~t:TON"ARIYtt::,

CHAP~TRE l~NTRODUCT~ON

L!~oMW.~ a. r0':Jôur~ a.~fOU.v.tL ~ k~Q',(\ J~ mc.J.; ~\'Q..t Q~ ~.s..\u.(~ i

Jo.. D~ 'ri',a.'\ tci,:>o..r) dQ. ~a Âo"M l'~er. 'JL ~Ie.~~cr ee 6. \-O~ Yf'\OYl'l

rQ.f.d (Q. 'N\O\ VI. ':. h.'O~h~ ci: ~Q't'\ iIJ oQ,.,..L"o"t'\ Q.\i\)'\0 dQ Qo. ~\J" ~6Y\ Q. ~\)i.(o\"\ n~ \'Y1Q.\'1, r-

d ;'Q. Cjul~e. . ~~ ~ rro.~~~ot'me. Qy\ ~ doY'Y\\ na:vÙ. ttUtrrtrt10inS cette dol\'\',-

-na..h'OY\ ~ rd~oLut'\::l-n dQ.

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LQ.. c.ad.le. do..~ ~Q~UJ. J YlO\.l) d(ZI)ra't\~ gC\.\~ e'cih.ldo..

CHAP~TRE II'PONT ROUTE

DDETA 1LS D'ARC HI TE CT URE

LI) CALCUL DE LA HAU 1.~UR DESPOUTRES

//

ref: CQ leu l et exeeut i0 Il des 0 uv rages enbeton arn-lé i V- FOREST 1ER

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-39-

~\).~l/ ~~ ~;!...~~) 't-\.( IL- 1CI- 'f', 1 ~l~\-L\d;\ ~J(, V-~î:~~t;~tl\ dvV"'f...ci."(to1.\') f~,:~l~J'f\Q,~ \P" L'IL,) \.ft' L.-:L G\l-I O)4b JZ,)1:, 5.2./ (,4 ,\g8 43

1

..v ~ID3 0;4

ARCHE ROTULEE

Problem Na6le: CAYORl

NODE COORDINATE5:NDDE # XCDDRD. y CDDRD. ZCDDRD.

1 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO2 2.00000E+03 1.59300E+03 O.OOOOOE+OO3 4.00000E+03 2.70000E+03 O.OOOOOE+OO4 6.00000E+03 3.43700E+03 O.OOOOOE+OO5 8.00000E+03 3.86100E+03 O.OOOOOE+OO6 1.00000E+04 4.00000E+03 O.OOOOOE+OO7 1.20000E+04 3.86100E+03 O.OOOOOE+OO8 1. 40000E +04 3.43700E+03 O.OOOOOE+OO9 1.60000E+04 2.70000E+03 O.OOOOOE+OO

10 1.80000E+04 1.59300E+03 O.OOOOOE+OO11 2.00000E+04 O.OOOOOE+OO O.OOOOOE+OO

MATERIAL PRDPERTIE5:"AT Il AREA E G J IY Il

1 2.62600E+06 2.24000E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.52000E+122 2.51200E+06 2.24000E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 8.70000E+113 2.37900E+06 2.24000E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 6.50000E+114 2.36000E+06 2.24000E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 6.04000E+11

PRDBLEM GEDMETRY:ELEMENT # MAT # NODE U NODE 112 NODE 13 NODE 84 AN6LE OF ROLL

1 1 1 ., 0 0 O.OOOOOE+OO...2 2 2 3 0 0 O.OOOOOE+OO3 3 3 4 0 0 O.OOOOOE+OO4 4 4 5 0 0 O.OOOOOE+OO5 4 5 6 0 0 O.OOOOOE+OO6 4 6 i 0 0 O.OOOOOE+OO17 4 7 8 0 0 O.OOOOOE+OO8 3 8 9 0 0 O.OOOOOE+OO9 2 9 10 0 0 O.OOOOOE+OO10 1 10 11 0 0 O.OOOOOE+OO

ELEMENT LOADS:ELEMENT 8

12345678910

LDAD-1.98000E-Ol-1.61 OOOE-01-1.47000E-Ol-1.47000E-Ol-1.47000E-Ol-1.47000E-Ol-1.47000E-Ol-1.47000E-Ol-1.61000E-Ol-1.98000E-01

ANGLE9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol

~WDE RE5TRAINTS:NODE # X

1 111 1

y

11

Zoo

RXoo

-41-

RYoe

RZ VALUEo O.OOOOOE+OOo O.OOOOOE+OO

, ELEM # NDDrr--FT___________~________ ~ L ___ • _______~___ -~ ~- ---~-.-.~------

FY FZ MX MY MZ1 1 2.15816E+03 3.26537E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 7.81250E-03

2 -2.15816E+03 1.79726E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.87690E+052 2 2.15799E+03 1.81680E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1. 87691E+05

3 -2.15799E+03 1.B6354E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.82347E+053 3 2.16126E+03 1.43556E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.82346E+05

4 -2.16126E+03 1.69770E +02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.54409E+054 4 2. 16323E+03 1.42465E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1. 54410E+05

5 -2.16323E+03 1.58069E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.38460E+055 5 2. 16419E+03 1.44298E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.38458E+05

6 -2.16419E+03 1.50411E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.32335E+056 6 2. 16419E+03 1.50411E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.32331E+05

7 -2.16419E+03 1.44299E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.38459E+057 7 2.16323E+03 1.58070E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.38458E+05

8 -2.16323E+03 1.42464E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.54409E+058 8 2. 16126E+03 1.69770E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1. 54407E+05

9 -2.16126E+03 1.43556E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.82345E+059 9 2.15799E+03 1.86354E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.82347E+05

10 -2.15799E+03 1.81 680E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.87690E+0510 10 2. 15815E+03 1. 79725E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.87692E+05

11 -2.15815E+03 3.26537E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 2.42188E-Ol

NODE DISPLACEMENTS:NODE 1 X Y Z RX RY RZ. 1 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1. 35094E-04

2 1.31632E-Ol -3.15836E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.19946E-043 1.71088E-Ol -5.68153E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -9.00201E-054 1.43982E-Ol -7.44606E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -5.72237E-055 7.99870E-02 -8.46137E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -2.73588E-056 1.23400E-08 -8.79035E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 2.10548E-I07 -7.99869E-02 -8.46136E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 2.73591E-058 -1. 43982E-01 -7.44605E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 5.72237E-059 -1. 71088E-Ol -5.68152E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 9.00200E-05

10 -1. 31632E-Ol -3.15836E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.19946E-0411 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1. 35094E-04

NODE REACTI DNS:NODE « X Y Z l'IX MY l'Il

1 1. 48468E+03 1.60000E+03 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO11 -1.48467E+03 1.60000E+03 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO

-42-

ARCHE ROTULEE

Problem Name: CAYORl

NODE COORDINATES:NODE # XCOORD. y COORD. ZCOORD.

1 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO2 2.00000E+03 1.59300E+03 O.OOOOOE+OO3 4.00000E+03 2.70000E+03 O.OOOOOE+OO4 6.00000E+03 3.43700E+03 O.OOOOOE+OO5 B.OOOOOE+03 3.86100E+03 O.OOOOOE+OO6 1.00000E+04 4.00000E+03 O.OOOOOE+OO7 1.20000E+04 3.86100E+03 O.OOOOOE+OOB 1.40000E+04 3.43700E+03 O.OOOOOE+OO9 1.60000E+04 2.70000E+03 O.OOOOOE+OO

10 1.BOOOOE+04 1.59300E+03 O.OOOOOE+OO11 2.00000E+04 O.OOOOOE+OO O.OOOOOE+OO

MATERIAL PROPERTIES:l'lAT D AREA E G J IY Il

1 2.62600E+06 2.24000E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.52000E+122 2.51200E+06 2.24000E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 8.70000E+ll3 2.37900E+06 2.24000E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 6.50000E+ll4 2.36000E+06 2.24000E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 6.04000E+11

PROBLEI'I GEOMETRY:ELEMENT # l'lAT # NODE #1 NODE 12 NODE #3 NODE 114 ANGLE OF ROLL

1 1 1 2 0 0 O.OOOOOE+OO2 2 2 3 0 0 O.OOOOOE+OO3 3 3 4 0 0 O.OOOOOE+OO4 4 4 5 0 0 O.OOOOOE+OO5 4 5 6 0 0 O.OOOOOE+OO6 4 6 7 0 0 O.OOOOOE+OO7 4 "7 B 0 0 O.OOOOOE+OO,B 3 8 9 0 0 O.OOOOOE+OO9 2 9 10 0 0 O.OOOOOE+OO10 10 11 0 0 O.OOOOOE+OO

ELEI'IENT LOADS:ELEMENT #

1234567B910

LOAD-1.98000E-Ol-1.61000E-Ol-1.47000E-01-1.47000E-Ol-1.47000E-Ol-9.70000E-02-9.70000E-02-9.80000E-02-1.11000E-Ol-1.49000E-Ol

ANGLE9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol9.00000E+Ol

NODE RESTRAItHS:NODE Il X

1 111 1

ELEMENT FORCES:

y

11

Zoo

RXoo

-43-

RYoo

RZ VALUEo O.OOOOOE+OOo O.OOOOOE+OO

ELEM # NODE # FX -- --Fr-- FZ MX MY MZ -',1 1 1.79225E+03 4.33598E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 2.57813E-Ol .

2 -1.79225E+03 7. 26649E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 4.61434E+05 [2 2 1.17938E+03 2.26400E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -4.61432E+05 r

3 -1.17938E+03 1.41634E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 5.58319E+05 .',/. :'."7 "7 1.78025E+03 1.30256E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -5.58318E+05~' Î~ J

4 -1.78025E+03 1.83071E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 5.02028E+05 .~, .

4 4 1.78808E+03 7.45692E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -5.02033E+055 -1.78808E+03 2.25965E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 3.47269E+05

5 5 1.80213E+03 2.48911E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -3.47270E+056 -1.80213E+03 2.69818E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.01751E+05 .

6 6 1.82213E+03 -1.79352E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.01751E+057 -1.82213E+03 2.12403E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.29143E+05 !

7 7 1.83396E+03 4.30571E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.29141E+05 •.8 -1.83396E+03 1.55255E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -2.43832E+05

S 8 1.83724E+03 1.09813E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 2.43831E+059 -1.83724E+03 9.90711E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -2.32383E+05

9 9 1.83098E+03 1.81112E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 2.32382E+0510 -1.83097E+03 7.26253E+Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.08387E+05

10 10 1.81756E+03 2.32817E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 1.08386E+05 i11 -1.81756E+03 1.48098E+02 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.01563E-Ol ,

NODE DISPLACEMENTS:NODE # X Y Z RX RY RI

1 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1. 99682E-042 2.41503E-Ol -4.28249E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.74255E-043 3.34550E-Ol -7.45628E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -1.06223E-044 3.13913E-Ol -8.95561E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO -2.04628E-055 2.38871E-Ol -8.75025E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 5.14431E-056 1.60300E-Ol -7.30249E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 9.20072E-057 1.04742E-Ol -5.32957E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 9.47921E-058 7.12704E-02 -3.48849E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 7.17176E-059 4.42270E-02 -2.09709E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 4.22922E-05

10 1.66990E-02 -1.05844E-Ol O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 2.79759E-0511 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 3.00023E-05

NODE REACTIONS:NODE # X Y Z MX l'lY l'IZ. 1 1.13176E+03 1.45578E+03 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO11 -1.32943E+03 1.24822E+03 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO 11·

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-DONNE~S: (UNITES EN KN ET EN MM SAUF TEL QU' INDIOUE)INERTIE= 2SS73889430POSITION DE L'AXE NEUTRE CYB)= 583.76MODULES DE FLEXION,SB:::: 43808910.22ST= 118266229.33AIRE~ 488250 CHARGE CONSTANTE= .884KN/M SURCHARGE= B.B3KN/MPORTEE= 16420 RES. DU BETON A 28 JOURS= 35MPA ,PROFONDEUR= 800LARGEURS, SEM. SUP 2250 AME= 270 EPAIS. 5EM.= 100POSITIONNEMENT

RANGEE 2 3 4 5 6 7 8 9 10TOTAL P055IBLE 4 4 4 q 4 4 4 4 4 4SECTION D'ACIER ET DIAM. DES TORONS,AS= 98.7095 DIAM.= 12.7LIMITE ELASTIQUE= 1862.07MPARELEVEMENT DES ACIERS,DISTANCE DU CENTRE= 460RESISTANCE EN COMPRESSION LORS DE LA MISE EN PREC.= 20MPACENTRE DE GRAVITE DES TORONS A L'APPUI", 583.76

-MOMENTS~KN/M)

SOUS POIDS PROPRE= 387.74623SOUS CHARGE CONSTANTE ET SURCHARGE: 327.38171

- ARRANGEMENT DES TORONS CUNITES EN NE\.l1'ON ET EN MPA)fORCE INITALE MAXIMALE PAR TORON= 131300.791POURCENTAGE DES PERTES= 18.145PRECONTRAINTE REQUISE= 16342 PRECONTRAINTE PROPOSEE= 16.390NOMBRE TOTAL DE TORONS= 9

-EFfORTS AU CENTRE DE LA POUTRECUNITES EN MPA)CENTRE DE GRAVITE DES ACIERS CYS) 65.617

FTSIG1= .659,FBSIG1:=: 6.727

rTSIG2= 3.79FBSIG2:=: -2.901

NOTE:EFFORTS EXTREMES PERMIS SUIVANT LA NORME ACNOR-56:FTSIGICM!N)= -1.118 FTSIG2CMAX)= 14FBSIGICMAX)= 12 FBSIG2CMIN)= -2.958

EFFORTS AU POINT DE RELEVEMENT, I.E A 7750DE L'APPUIFTSIGIR= .649 FTSIG2R= 3.771F8SIGIR= 6.755 FBSIG2R= -2.85

-EFFORTS A L'APPUICYSA= 583.76 MM)FTSIGIA= 2.1784 F8SIGIA= 2.178Q

MOMENT ULTIME CUNITE DE C ET l' EN NEWTON,DE FSU ET0= 734.3833 FaU: 1835.4388 C= 6693750MT VLT. REQUIS= 1287.2303 MT. ULT.RESI5TANT=SECTION D'ACIER ADDITIONNEL:=: 83.0261

MT EN MrA,)T= 1630577.2500

1 1 7 7 .21 1 4

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A LONG TERME:=: 37.608A LONG TERME~ -46.1481

A LONG TERME= 2.89

-CAMBRURE5DEFLEXION DE LA POUTRE, INSTANT.:=: 19.8988DEFLEX. DUE A LA PRECONT. INSTANT.: -24 1035DEFLEX. SOUS CHARGE MORTE, INSTANT.:=: 1.156DEFLEXION SOUS 5URCHARGE= 11.545DEFLEXION A LA RELACHE= -4.205DEFLEXION A L'ERECTION,I.E DEUX MOIS APRES FABRICATION=D~FLEXION AP~ES L'APPLICATION DE LA CHARGE MORTE= -9.083. ·1DtFLEXION FINALE CSANS 5URCHARGE)= -0.699.DE'fi:E-X l D'N' ''tb-tALE = ~. 2.'8T6

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-74-

CHAPI TRE VCONCLUSION

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CHAPITRE VI·APPEND1CES

ANNEXE 01

CARACTERISTIOUES DU C/~NAL

ref: second avant projet sommaIre

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BIBLIOGRAPHIE

1. ::r. COU R.~ON,) ~~\~tQy\'(..Q.. Ja.~ mo.\-o~I"\gu..x-1. c::a'lQ.e> -29l-~01 fAt.110 //

'3~..t~uY\oJ. --i~=t1.)

.2.- N. TU RKA 1'-\ ,) cou!"";:> dca.. \:.Q.toY\ ?TQ.c..on-tro\ "t )uni I)et~ite: do.. Ko~c..iD~Ao'Q.t .--(~T~

,,_ CAWA:tÙ A"1 'PaR\' LA~"D G6M.6~T A~c..·\Ai iON 'lJ)Q..-\rl Co d12.".::.i

1 1 î\Il- C' H. NOR~\ ro} 'J".~ W tL-&lJ.~ _ ~ .U\' \