c.b.a.93règles de conception et de calcul des structures en ba.pdf
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MINISTERE DE L'HABITAT
DOCUMENT TECHNIQ\JE REGLEMENTAIRED.T.R. - B.C. 2-41
REGLES DE CONCEPTION ET DE CALCUL
DES STRUCTURES EN BETON ARME
C.B.A.93
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WWW.GENIECIVILPRO.COM
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'Il.
ii\ MINISTERE DE L'HABITAT
1 DOCUMENT TECHNIQUE REGLEMENTAIRE
( D.T.R. - B.C. 2-41
11 1
REGLES DE CONCEPTION ET DE CALCUL
DES STRUCTURES EN BETON ARME
, C.B.A.93
,1 CENTRE NATIONAL DE RECHERCHE APPLIQUEE
EN GENIE PARASISMIQUE C.G.S.
Rue Kaddour Rahlm (prolongée) B.P 2 52 Hussein-Dey - ALGERTél. : 59.90.61 - 77.66.73 - Télex: 65494 OZ - Fax 77.66.56
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Composition du Groupe de Travail Spécialisé
Président du groupe :
Mr. BELAZOUGUI M. Directeur c.G.S.
Co-Rapporteurs :
Mr. BELAZOUGUI M. Directeur c.G.S.
Mme BOUCHEFA Chef service réglementationtechnique c.G.S.
Membres:MMAMOUR Ahmed Ingénieur représentant CTC- Est
BELHAMEL Farid Attaché de recherche CNERIBBENMANSOUR Hocine Ingénieur principal CTC - CentreBERROULI Abdelaziz Ingénieur chef d'agence M'Sila
1 BOUKEN DJAKDJI Mustapha Enseignant à l'Université de Blida) BOUKHENFOUF Kacem Kamel Enseignant à l'INFORBAi Melle:
CHOUTRI Samia Ingénieur représentant MinistèreMM : de l'HabitatHACEN Mohamed Ingénieur représentant CTC-Chlef KIRATI Seddik Directeur technique EMETIMEDJAHED Lakhdar Ingénieur représentant CTC-Ouest NAILI Mounir Ingénieur CGSRIACHE Mounir Ingénieur BEREPRICHA Brahim Ingénieur représentant CTC-SuêlYEZLI Lamara Maître de conférence USTHB
L..lngènieurs-chercheurs
ayant apporte leur concours:
MM TALBI Akli - Maitre de recherche CGS
REMAS Abdelkadel' - ChaI'gé de reche!'che CGS
III
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,
PREMIERE PARTIE
REGLES GENERALES
.
1
1
1
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CHAPITRE - A 1 -
PRINCIPES ET DEFINITIONS
ARTICLE - A 1 - DOMAINE D 1APPLIC ATION
Les présentes régles de calculs sont applicables à tous lesouvrages et constructions en béton armé, soumis à des ambiances
s'écartant peu des seules influences climatiques, et dont le bétonest constitué de granulats naturels normaux, avec un dosage en
ciment au moins égal à 300 kg par m3 de béton mis en oeuvre. -
Sont considérées en béton armé les pièces qui sont encoreaptes à jouer leur rôle dans la structure dont elles font partie,lorsque la résistance à la traction par fléxion de leur bétonconstitutif est supposée nulle.
Restent en dehors du domaine des présentes régles :- les constructions en béton non armé,- les constructions en béton constitué de granulats légers,- les constructions en béton caverneux ou cellulaire mixtes acier-
béton,- les éléments soumis en service à des températures s'écartant
sensiblement de celles qui résultent des seules influencesclimatiques.
D'autre part certains ouvrages peuvent faire l'objet de régles particulières auxquelles il est alors fait référence.
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"0 ~ ~ > ~::t 0.."00.. o..(t'''g ~ 8 ~ ~ S S 0:8 (D, • r;r.JO(Dge;(D e~o::s::s •...•. (')0 ~(D< :=-: S l' ~ ~ 'g. i j; ' •.•. e Pl ~ G ~ (D' (D ô t2 ~ 0 ~ t2 ~ ct, ~ l::l ~~ ~. g ~ ~ ~ e"ê ~ ~ 0.. Pl . ~ $?. ~. E4 ê e:. E; ~ § ~ ;. Q '< ~êl ê- Ft 't:;. ~ 1 ct e? (D G ê: ~ (D 0 (D (')::t ~ r;r.J (D ~ ~ r; ~ ~::s o' , .. , r ;r.J 1-" ,... r:I:l (');:::l. ':!l r;r.J (D 0 •...•. ::s ,.., 0 (D ~~' ~ H, Ut ;>< •••••••....•. . ..•......•.• \JO r;r.J ~ ri •.••.• ~ ~ ~. ~ 0..(D •
"0 ~ ~-::t;,... 0 _ g 0.. o ~' ~ Q e: s- ~ g "O~ ;> "0 8::;' (D ~- ~ •....• (D 0.. g' ::s ~ =-,.., (D 0 r;r.J ~ _ (D (D (D i=l •.••.• =. (D 0.. ,.., ~ ::::-:.,.:;::" ~ ri ('),.., _'
•.•..• r;r.J ~ ''w' ~ 0 (D.... (D 0 """= ::s 0.. V"I >-1 •.••.• •••••.••.• ,~êl 0.. ri 0.. > tfj ;>< ~ ~ 0--: ri "ê $? ~ ::s 1:: (D ~.::s •....•G "êQ (D ~
•....• 0 ,... ~ < (D, (DI '" •••• ~ ......::s . '" (D (D rJJ ,..,...... Q•.•••• ~ -.... \ J ,... '" (D> 0..""" r- '"' O' •....• (D ~ '"' rJJ r;r.J (D •.••.•(D ""l0- ::s (D < .....:l \ J '"...... - .••••• V"I (D ..•.••....• 0..c rJJ ~::s •••.::s r;r.J ::s (D ~ > ~ (D ~ e:. G ~, ::s 'E. (D 0.. ~ ~ 0.. •...•. 0 ~ : :s ::;. CIl
•....•~ ::s 0 - 0 S ::s rJJ. ~ 0.. (S. o ~ (D •••• (D o ::s 0 o ••:: (') ~ ~ !::l S ~::S::S. •...•. ~ en ~ en N '::s (') ::: g. .1'"' •••••••••• $? i=l _ ••••en (D N r;r.J ~ ""1 (')::S Ut •••.• en •••• •••• _ -.;;; v ~ .... 0"..... en~ r;r.J w ~ (1) ID ~ en Cl 8'!:'"" ;; i3 r;. IV...... en 0 G G S.~ o· (fQ;>< •.••.• s '" 0........ ~.... '" 1-' "'::s ,.., ....•..
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en r;r.J : :;:. r;r.J C, a (D Cl ::;:. _ 0.. ~,[I.l ::+l en g: C, C, en~'''' 0 en S 0..... •.•• '" [I.l •••• < (D 0 0 •••.o...~ ~I ::s _. ~ ~ en '" •••• Co (') ::s (fQ8 (1),!:;. H, (D, •• ~::s ""I!:;. (') (') ~ ~ (il' ~. e: ~ en ::s::s ::n ~ e:....... 10 + e. ~ ....~ ~ ~::i ~ ::;;...... "0 (Den::S::::: 0" ""1 - .....::::: 1 •••••• = ~...... 0" '" ...•.• (D "0•••.•••. ~ •.••.• 0 < CP ~ ~ (') ~ - en •.••.• 0.. (De ""1 ~0..(D (D:='" ~ ~ ••....• "O~ ~~o.. (D (D !::l ""1(D, rJJ ~ 0.. (D ~ 10 r;r.J è' ""1 •••••• •• e. .(D, en i=l ••~"O ~ (D 8 .- 0::::: (D'~, -< ::n e:g"§§""1 ~ ::
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'ij ••...•. (') V> (') $:>jJ-l c:: 0 ::;- 0 <(I),V> ~ c:: ~ (1)~ ~. t"'" ~ .§ o 0 ~ §. ~ ~ ~ ~ (')::s ::tl ~ ~ •..•.• ::t::S ~ t::. ::;::" ~ -.... -.... "T1f"""'t- n • ('1)' ~. 1-" \.., • N ~ ""r--.:,... $:>j V> ~ ~ ~ 0. ~ $:>j V> ~ ~..... ••••••...- f """'t- • \,.... ,... 0 • J-l.. •o •....0 tIl . V>..... ,j;;o. V> J-l ~ 1:) 1:)('J 0 =::::. ~ t"""t" • O~,· 1-""....... 1""""\c:: ::s ri" < 0 < < ~ c:: (Il 00 -e < •.•.•3 V> .....~, c:: (1), e- J-l •.••.• ~ e.. ~ $ :>j $:>j ~§ $:>j';::!. J-l ::1. ::J. e:1 ~ -e =: G G G ~••••.'ij ~.:3i o ::tl :3i (1) ~ o.
c:: c:: c:: +• J-l0 ~ ::T(I) ~ Cl V> ••••. ~ •••• J-l J-lJ-l(I),::S ~ $:>j J-l ~ a .. o.' •• ~ ..o::P ::s ClV> V>.... ..0 •.••.••••• ~ (1) •••• c:: (1), 0 a(1) Q c:: (1)- Q ~ V> Q $:>j..o::! S'::s 0. = (1)..0' = + o = V> c::~. +~ (1) Q. 'ij c:: Q. 0 (Il 'j" (1) ::sJ-l o ~ ::T..... ~ Cl es Q. 'ij a e. "T1v>$:>j _ $:>j:=:_ a p ~ g(l)(I) ;1>o n = ~ 0" ~-: S' s: ~ i:! 0. 0. +: :s c:: (Il ~ JoC + ::s e. $:>j c::- (1)••••.•.••.••••. 0. =: $:>j ~ ::s::s"'":::
'ij !. (1) V>....,..., .....=: (1) (1) $:>j$:>j' .., ••••. _ "-' V> _ - " ~
J-l •••• ~ $:>j •••••.•• 0 ••.• $:>j " -....(1), o =- p..... C'" + _ -< ~ (') O,o 0 ~ 0 •..•. .., •..••••••..•. 0 •....•~'::s~' ::s..o ~ ~ V> Tf 0: o' ::s ••.•.•(1), V> Q. ••••.c:: (Il l-J 0. =, C::::s $:>j 1:)(1) •.••. ~ $:>j (1)' S" ~ ",- Jo, ::s o •.••V> o..... (JQ,....... :::::;;i. (1) < o +
(1), ë" (1) -.... 0 " (Il ~ •.•••$:>j' J-l:! (1) (1) JoC~' ~. ê ~. 0.'-= ~ = .....0 \; p g ~ q §- @ M1:;
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::s $:>j'ij 'El == ::s>~ v>$:>j (1)' ~ <~ c:: q ~ v>:. ~,; 1-1 t:: """'- ..••.• :J.~ (1) o (1) 0. ~ $:>j•.••••. •.••• (Il 0"
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n 0.. 0.. ::n (; > s;- 0 "'Cl SoC/) (D ~/) (1)~~ C/) :::s • 00 (;1 •...... :::s ~ C/) ': P ~ C/). C/) ~ ~ :::s ~ -ti.... '"1 0.. C/) - (1), (Il _ - C/) (Il (Il •....•.
1 ~ (Il 0'" P poo 0 •....•.(Il:::S ~ •....•.(Il C/) cr 0 0 :::s •......•o.. (Il 0.. 0 '"1::1 •....•.~ :::s -;-,C/)o.. 0 (Il o (Il 0.. '"1 P _ (Il •....•• l~.J ~ ~ (Il IJC/ ~ •....•.(Il (Il, C/) •......•:::s 0 •......•s"'Cl '"1 •....•..0 0.. Z ~ "'Cl :::s •....•. (Il ~ ~ "'Cl 0 0 C/) S2- 8 0.. •....•. ~
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(Il 0.. ~ 0 :::s (Il -;-,:::s c/)' (Il C/)..... '"1 ~ P.. 0 (Il C/) 0 ~ et (Il (Il C/) '"1 = "'Cl 0-. ~ ': '"1.....•C/) (1) ~ "'Cl qg. Ô 0 - g" (Il ( Il, :. ( Il 'g (Il .§ 0.. (i); 9-: 0 •....••'"1 •......• •......•0 ~, ~.. (Il (Il :::s (Il "'Cl "'Cl (Il S C/)1:=: ~'o..o~(Il ~:::s '"1 C/) et:::so ~~ (Il ~,' ()' •......•~' ': 0.. 0..
S ~. g ~' 0 :::s ~ (Il et ~ C/) 0.. (Il '"1 (Il 0-. (Il (Il~ '"1..o(ll '"1 _ O(1):::S(ll >':(Il •......• ~_ (Il~ (Il,o..~ C/)0C/)~"" q'"1 ~ >'::s • ....•• • ......•:::s C/) (Il _. _ (Il " ....• (1) C/)_ 0 _. _ ~ (Il ~ ~ ~ o :::s-e 0 ~ ~> "'Cll :::s S ~ a ~ 0.. ~ (Il 0-. §" e; S ~. ~ ~ 0
0.. .~ _........ _. ••• :::s 0 _. 0 "'Cl (Il ~l 0.. _ :::s •......•0 :::s ° 0 :::s '"1 _. - :::s •......••......• (d,
C/)(1) (Il(ll~:::S C/)(Il:::S C/)(IlC/)(1)_ (Il~ (Il
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:=: "'Cl C/) _. "'Cl C/) (Il (Il C/) (Il (Il C/) 0 ~ •.•• 0 ~C/) •..•.••......•
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CfQ ••..•. ~ •..•. 00 •..•.• ~.:~.~~ ""1~ ~ o' ~ c, ~ ~::"! (il (il S S~' go SS;· ~~' - C ~ r/J 8. c, ~ S S w _ r=;S (JQ ~ ::' § "0 g- ~ (il § (il (il (il 'tA ~- o'(il ~ ~ "0 "0 0 ~ r/J ~ c, c, ....o 0 ~r/J ~ ::+. "0 CfQ0 ::;; •.••.•..•. - (il (il (il, 0... ••.(;;' r/J
~ ~ 0 ""1 r/J ,. p.. -< (il 0 >-tl 0 ""1'g a ~. ~ g ~ ;:: g ~ ~ g g. ~ g~, ~~ ~ ~- tl •••• ""1 •••• ~ ~ ~ p.. 0"' ""1 0 "00;- 0 (il q '" ~ ~ (il (il, (il tn' 0::1 rI.l o::'(il > ...•.. go Ô ~r/JE;g l:lo S . o ~ ~ ""1 _ e:.. (il, •..• tn' 0 0 0 ::s 0 (il > E;
p.. (il ~, :a :=: (il cT:I g _ "0 "0 (il~ 'D' •• (il •...• ..c - ..c - ..c
p.. p.. ""1 ~ p.. ;;..... p.. p.. ~ ~ ~ ~ ~ ~ ~ C.(il (il r/J ~ (il (il (il ~ ""1 (il •.••. r/J •.••. r/J •.••. 1
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~(Il0..•....•.Pl
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~rJJ() (IlrJJ'":>:J- •.••.•• 0 ::s = -: 0'- (Il (Il,'1:j ~ 0.. ~:l ~ ""'t ~ ::1. '1:j (Il Pl (Il:B ::nt=;. • J--' (Il :::-: o S:: :. ( Il, p ~ ::r~ o 0 (Il orilo..~'~ (Il(ll~(Il :ao(Il,
~ N •..•.Pl' .......::+l Pl (Il~ ::n 1 NO •....•· CD:::;'" ::s •....• .j:>.::S () rJJ •....•·•••.•••....••(Il ~ ::r N •.....· ()Pl () rJJ 0 ~.j:>. 0.. (Il ~ •....••0.. •....••• .• • ""'t (I l • .. •. .(Il ::s (Il(Il 1 rJJ •.•••..• •.•• •....•::lcf.§ ['ê Pl,~;-" CD '".....- •.••""'t ""'t rJJ (Il 0 ~ ~~ (Il' •....•••....• ~ () '" --<p rJJ cT '" 00 ,.' '-' 0"P l~ •....•- ~OO rJJ 0C. 0.. (Il ~ •••.••\0 S.... ~ '! ( Il =Pl' rJJ C. 0 ..0 0 •..• (Il, rJJ •.••.•....••....••....•::l = ""'t Pl ()Pl (Il •....•. - rJJ • ....•.Pl' 0
..0 rJJ () (Il ..0 rJJ J--'::n=~O ~=OJ--' S'Utcr (Il ::l (Il(ll::l sr (il CD;!l· (Il () 0.. 0- S' '1:j
~ 0.. rJJ (Il _ ""'t Pl:::::;-_ 0.. (Il, •.•••.•• Pl r JJ •....••0
_ •..• •....••""'t •....•••.•• '" rJJ ="0 0.. Pl (Il, ::l (Il ~-::: 0 ""'t•••.•• '" (Jq (Il ~ •....•••••• ::l= ?})' ""'t::l ~' 0.. 0 (Il rJJ •....•rJJ •....••Pl - •....••= : :l...... Pl (Il
8~S~ g(il,rJJPl grJJ
S (Il ~ '1:j (il (Il () 0.. s.: o'1:j...... Pl Pl' 0 = (Il 0~ Pl ""'t rJJ (Il ::s ""'t ::l•..•. (Il (Il J--'rJJ rJJ (Il, •.•• SS e: g.::l ?' ...•.......~(Il g. cT(th ~ Pl C. () 0.. '1:j •. ...••.. ..••~Pl::S(ll' O~''''''t ~::l
::l(Jq""'t ~(Il,O' Plo = g P (Il sr .(Il ~ p '1:j Pl rJJ0.. •......(Il ::1. (Il sr 0(Il(il:a ~~(D ~
•.••() •....•. t'Il t'Il t'Il::r - ,..:-t 1 1~O~ N ~.... tJ> SN0 ~ § ~ S ""'t(IlO::n~ (Il,>'! (Il(ll,~ (Il,O >'! ~::l ::l::l ~ S~ rJJ(Il •....• CD=o..d ~'rJJ 0' g ~ 0 (Il ::n:a Q ~ (Jq CJ,3 rJJ ~ (Il rJJ •....•rJJ Pl •• ::l(Il p rJJ ( Il § ~::l ""'t ,. (Il = •..• o Ut rJJ (Il () 0.. (Il() (Il, o ::l ~ p ::l (D' Pl.::l = (Il $B (Il. """ ()O rJJ 0 · 0..Pl ~ '! 0.. (D ~ '< '1:j C. •..• ~ § :. o ~ ~ '1:j>- ...• = = (Il (Il rJJ ,. ""'t 0 0.. Pl 0 •....•• ~::l (il"""rJJ,-...::::: 8(1l::l (IlCDg •....•S~§ ~~ ~ (Il • (;' (Il Pl (Il ~ S 0.. •....• rJJ ~ Pl '1:j (Jq.... •....•..j:>.p """ ::+l '1:j p •....•.Pl Pl::l;;l ""'t ""'t (Il ""'t ""'t
~. O>-+i ç; 0 ""'t;:; '1:j (Il::l '1:j ° 'Cl (Jq t=;' = e: . 0..• (Il ::\. (Il' Pl ""'t ""'t rJJ •....•.•.•• 0 (Il P ""'t::l (Ilg = ::\. 0.. rJJrJJ 0.. ~. 0...... g' ct. '" ~ (Il, (Il @' 0-:
•....•::l = Pl (Il = •....•""'t Pl (Il 0 t'Il, (Il rJJ Pl) Pl C. 0 '1:j >'! •....•; (Il- 0.. 0.. ~::l t'Il (Il rJJ •.•• '!
0.. S d ~ 'E.. (Il, ~ >'! @ ::;. rJJ ~ ~ (Il Q ê CDo (Il p () •....•.().... () '--" (Il rJJ _ '" •.•• 0.... ::l
'1:j Pl ..0 =.... (Il o = ,. - 0 •......0 (Il•..•.0.. •....• 0 =......... ::l 0.. C. •....•.t") (Il , ~ g; ~ =§ (Il 0.. ~ (Il, O·...... q (Il ° ~ t"), Q 00 Pl 00 q•.••.rJJ'(Il - :" ::l (Il .............::l ::l 0 0 "",,::l ~ (Il
•.•• '" rJJ () '" '" •.•• ~ •....••'"' •.•• ~ •....•c Pl " 0 '--"....... ~. - - (Il;;l rJJ ~. (Il ô' Pl::l cT 0 ""'t..o ~ (Il, ""'t = rJJ 'Cl rJJ --,-... """.(Il:::':S ~ =p Pl~':=!l .• ~ §CDO-- 8
•....•.'1:j (Il...... • '1:j 0.. = Pl "'..... -< = CD ::l~ @" (il ~ rJJ ~ 0........ S ~. (Il 0" () ~ q(') rJJ •....• -...;., ~.;- cT 0
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$=: •...•. Wfij •..• 0.. 0....... 0 •..• O"(Il •...•.N 'JJ •.••• • a "0 (Il, t:3 pj g (Il $=:_ g l::l 0' ê" ê ~ (il, (Il (il, ::; ~' S' •
~ ~ ft,.§ o ~ r ~ .§ >-1) 'ê ';a ~ "0 r6 ~ S' r6 g ~ :=: c;;- ~ ~ ~ :0o :0o e· pj e:.. ~...... :0o : ;; ! ( ;" pj •...•.pj 'JJ ~ cs;::s 'JJ l::l l::l ~ 'JJ ~;.. :0o ~• • ~ r"""t" l""'l •• ••.••• (JQ "" ~ f"""f' lo-l ••.••• 1-'- ~ • :0o :0o $=: •..•.n •..•.$=: :0o 'JJ;X (Il o' ...• 0.. " (Il....... • (Il.... pj ....!::l.... :0o 1• ~ ;x cr $=: ;!? 'JJ N 'JJ...... l::l~' (Il (Il •..• $=: •..• (Il.... - P (Il,;... ~ tfj~. . ~;; (Il g. o. g 0.. ~ ~ 'JJ ~ ::s O(llon (Il 0 ,...~ •...•. 'JJ.......... ~....... = .... 'JJ >-I)!::l '" (Il - .-(Il, nO"....... •..•. •..••P a 5-
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8/18/2019 C.B.A.93Règles de conception et de calcul des structures en BA.pdf
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(D(') ~ V> V> ~ ~ (D ~ l:: ~. ~ (t' __ =:s CTC/ ., ~
•.••. (D tj;. (D 0 ' . -. S •.••. V> 0 =:s (D....... "0 =:s '-' 0.. ~ o •.....•(D' (D, w(D '"1 (D, CTC/=:s =:1"'(') (D'-' 0.. (') ~ •...•.••.••. ~ =:s - '"1 •.••. ~ 0 •V> 0' 0..:' 8 fP' •.••. (D' ~ ::tl ~ (D, §....... ~ tj;. g.-. § fP . o' a 0.. 3 ~~ ~ (D(D =:s "0 ~ V> .-. (');r' 0.. 0 V> 0 ~ (iJ V> c =:s 0' (D (D, ~0.. 0 •...•.•V> V> ;;" V> (') D. ~ ~ Jg CTC/... .... V> ~ (D =:s (') (D •...•.•q~ =:s (D-: 3 0 =:s V> 0 ~ Y'..... g ~ ;;5 ~(D, 0 ~ ~ (D 0 3 ~~. ~.-. •.••. =:s (D ~ ~ •.•• V> 0.. (D =:s ~ V> V> •...•.• .- =:s (D •...•.• 0•.••. ~ (D> •.••. V> .-. '"1 fjj (D 0.. '"1 ~ 0.. =:s V> ~ (D, =:s' V> =:s ;r' ~ ~0.. (') '7'" a =:s ~ ~ ~ (D (D '"1 (D (D ~ "0 Et (') tj;...... -0 (D '"1(D 0 :=: (D (D, •..• =:s -< n 0.. 0.. ~ 8 (D, CTC/ :=: ~ 0.. 0 .-. •...•.•(') a 3