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,. ! MINISTERE DE L'HABITAT DOCUMENT TECHNIQ\JE REGLEMENTAIRE D.T.R. - B.C. 2-41 REGLES DE CONCEPTION ET DE CALCUL DES STRUCTURES EN BETON ARME C.B.A.93 \~." :, .}.

Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 1: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

,.!

MINISTERE DE L'HABITAT

DOCUMENT TECHNIQ\JE REGLEMENTAIRED.T.R. - B.C. 2-41

REGLES DE CONCEPTION ET DE CALCULDES STRUCTURES EN BETON ARME

C.B.A.93

\~.":,

.}.

Page 2: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

'Il.

ii\ MINISTERE DE L'HABITAT

1 DOCUMENT TECHNIQUE REGLEMENTAIRE( D.T.R. - B.C. 2-41

11 1

REGLES DE CONCEPTION ET DE CALCULDES 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

'II,

: ,__ --J

Page 3: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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 CNERIB

BENMANSOUR Hocine Ingénieur principal CTC - Centre

BERROULI 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'Habitat

HACEN 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-Suêl

YEZLI Lamara Maître de conférence USTHB

L..lngènieurs-chercheurs ayant apporte leur concours:

MM TALBI Akli - Maitre de recherche CGSREMAS Abdelkadel' - ChaI'gé de reche!'che CGS

III

Page 4: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 9: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 10: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

,

PREMIERE PARTIE

REGLES GENERALES

.

1

1

1

1

\

1\

Page 11: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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 ambiancess'écartant peu des seules influences climatiques, et dont le bétonest constitué de granulats naturels normaux, avec un dosage enciment 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 réglesparticulières auxquelles il est alors fait référence.

3

Page 12: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 13: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 14: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 15: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 16: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 17: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 18: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 19: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 20: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 21: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 22: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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•....•.'1:j (Il...... • '1:j 0.. = Pl "'..... -< = CD ::l~ @" (il ~ rJJ ~ 0........ S ~. (Il 0" () ~ q(') rJJ •....• -...;., ~.;- cT 0 <: '1:j 0 '1:j Pl(Il 0.. ;!l. •....•. 2::. (Il .......::l (Il := (Il ° ~ ° .::l (Il 0 (Il, 0 o 0.... S •• ""'t = •.•• = :aq """::l rJJ = C, § (Il (Il rJJ ""'t Pl ""'t (Il.......Q rJJ Pl'.... 0 (Il 0.. ::l () ......:a...... (Il(')~o (Il •..••....• "'.... (Il (Il (Il (Il rJJ~. pl, •..• •....• ....:;;;-' ,. rJJ rJJ'--" rJJ •.••.(Il, (Il ~ Pl Pl' rJJ ,. rJJ

Page 23: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

-e- Q o (JC/ 0o •..••..•l '(Il tD a pjo..

(Il 0.. ~ (Il o "0 "o.......;x ~ "o.~ 5.. (6 Q ~ =tD s=;!? (Il, l::l 0 :;;! (Il (Il "0 Il....... •.• (Il "0 ••••~ •..• q (Il ,. •..••..• (Il, •.•• 0.. (Il~,§ pj (Il::+la a ~ ~ p;"' ft, •..• go (Il l::l Il Il Ill::l j:l "0 0 ri" CS' pj "0 'JJ (Il o 'JJ >-1) 0..(Il, pj "0 (Il..... •..• l::l "0 o' 'E.. 'JJ (Il 0.. pj § (Il (Il a~ r:::t. 0 •...•.g 0 (Il 0 l::l $=: 8 >-1) (Il 1«")...... ;X;X 0~ 0:4 _ ~ g.:4 0.. 'JJ § pj. $=: 8 · ~ ~ !::l!::ll::l . 'JJ-(Il pj (JC/::; ;x •..••.....• l::ll::lP

~ Er g. ~!il 'JJ g- f;1 ~ (Il (Il ~ 8' f4 g. g. al::l'JJ ~n(ll!::l....... •..• 0 ..........• nn....•.S p;"' •.••. (Il •...•.P pj 0.. 'JJ l::l (Il >-1) "0 ~.~. 0.."0 l::l l::l 'JJ,.o 0,.0 (Il S $=: pj 0 (Il, (Il, $=:;:3 •...•.0.. t;; . $=:!::l $=: 0......... "0 ;;;l~' 'JJ (JC/ pj -'JJ' § (Il, a pj ~ g. (Il (Il •••..• pj~........ o 0(Il, (Il, >-1) (Il 0 'JJ •.....• N 'JJ 0 -::;. cr 0 o 0••••. (Il 0 l::l !::l •..•. l::l (Il Il 0.. o VI (Il ~ cr~· •..•v""'.... pl...... 0 (Il (Il' (Il ,. pj - 0..

;~~ ;>g'gg- l::l -IW ~ g. ~ogo ~a(il$=: •...•. Wfij •..• 0.. 0....... 0 •..• O"(Il •...•.

N 'JJ •.••• • a "0 (Il, t:3 <: pj ~ ft $=:....... l::l". •.....•0 ~ (Il, pj.... ~. l::l" e:.. $=: (Il '";:: l::l ~ (Il,

pj l::l •...•.•..• (Il""" ,,-... (Il ...•• t::::......... - 0n •......pj ....!::l v,.::: N'" '" l::l" (Il.... 0 ;:3._>-1) (Ill::l(llp.... ==î •....•• nO""•..• •..•. •...•.l::l..... (Il + 'JJ $=:' .!;;"" 0 •..• -~ l::l o "0 •••••. (Il "0 -.; 0.. $=:(JC/pj 0;:3(1l •..• Q) Q N ~ l::l"a •..• (Il(Il ~ ~ 'JJ'Y' 0 I-l -e- o ~ (l) ';a (Il•.... .I-I'j..... . !::l;';! 'JJèS 0.. o' pj pj 0.. '-'" P o •...•.(Ill::l $=: •..•.<: $=: •..• (Il pj •..••0..'JJ (Il (Il pj (Il •...•.•...•. =s (Il•..•. l::l l::l a ~ _..... >-1) 'JJ0.. pj •...•.•...•.0 0.. •.....• 0 (Il, (Il(Il'$=: ,.,pj!::l$=:> N l::l •..• -(il, 2'< "0 P VI 'JJ (;' (tii(Il ~ (Il 'E.. (Il pj 0 l::l" $=: •...•.~. $=: 'JJ •..•.l::l $=: pj •..• 'JJnpj •...•.g ;x cr pj'o..(Il (JC/ n •...•.•...•.n •.... $=:~ (Il 0 o·;a l::l" ~ ::::;" 'JJ..::;~ !::l::spjpj •..• -(Il~"'v P _.... (Il _n

.. ~...., - "0 0.. (JC/ ..........., 0Q •...... ;:3. (Il 9- (Il (;" ~ l::l•..• pj 'JJ 'JJ •.•• 'JJ .'JJ 'JJ 0..

_' _ •• _ •• ~~~. 'r"'- __ ~"_~ '__ ."'-.'. ---

a o 0..,.0 o (Il n pj :=: 0.. "0 ;:!l "0 'JJ l::l (Il, ;>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:ןס 0o:ןס e· pj e:.. ~...... 0o:ןס :;;! (;" pj •...•.pj 'JJ ~ cs;::s 'JJ l::l l::l ~ 'JJ ~;.. 0o:ןס ~• • ~ r"""t" l""'l •• ••.••• (JQ "" ~ f"""f' lo-l ••.••• 1-'- ~ 0o:ןס• 0o:ןס $=: •..•.n •..•.$=: 0o:ןס 'JJ;X (Il o' ...• 0.. " (Il....... • (Il.... pj ....!::l.... 0o:ןס 1• ~ ;x cr $=: ;!? 'JJ N 'JJ...... l::l~' (Il (Il •..• $=: •..• (Il.... - P (Il,;... ~ tfj~. . ~;; (Il g. o. g 0.. ~ ~ 'JJ ~ <: a. $=: 'JJ C, ~~. r6. 0 t-3"""" '00

0pj '< $=: ri" ~ 9, ~ ê 'JJ ~ (il, t;;. :::::n l::l (Il ~ (Il ~ l::l t::l ~ ~• -e l::l pj ""'l •••••.•••••. <: 'JJ " n (Il •...•.(Il - •...•. 0 ~

1 = (Il o C S· 0 0 <: ;x ..0 B' If pj pj' 'JJ (tii 0.. pj a 1

t-<. ;:;: noS' g' o. ~. ~ 8. 'g. S. ~ ~ s. g. S· ..0 fij ~ :4. ~ tfj ~(Il:=" •.....•!::l...... "CI 0 •..•· ~ (Il 'JJ ...., 'JJ l::l ;!? (Il $=: ,... 0 •..· !;;iiJ'JJ ~ pj ..= 0.. tD l::l 0 'JJ •..•' $=: 03 ,... 'JJ pj $=:..... :=: 'JJ •.....•= ~

••••. ....., 0.. (Il .::s.... •..•. - cr ...• ....•.....•.(Il tD -'JJ S· go •..• (Il Q. ~ "0 0 <: (Il 0.. •..•. 'JJ;!l 'JJ.... '"' t-3o ' •..•. •.....• tD •.....•a (Il pj (Il •.....••.•. 0.. $=: pj - -==;1 8' 'JJ 8 pj CIl ~ § (Il' ~ g: ~ 'JJ ~. g::~' $=: ~ "0 ~' ~~.Jo' tD g o l::l ;!? =. pj 'JJ ~ 'JJ (Il S 'JJ (Il, (Il, (Il 'JJ $=: 0 "0 d................~~s e;.. CIl a 0 'JJ :2 Y' 'i'" g 'JJ0El g. ~ (6 ~ 'E.. ~_ _ •.....•_....,..... ••••..• . •.....• '" 0 •••• ~pj'" cr (Il •..•.•..•.•••• cr •... 0.. •...•. :=.. •..•. 'JJ $=: ,. 'JJ 'JJ 0 ~ -C, ~ ~ 'JJ ~ g: ~ (Il n s-: (Il, (Il a ~ 'JJ g. 0 5.. "0 cr a. !;;iiJo 0 ~. 0.. (Il (Il, ~ El 0 'JJ (JC/ 'JJ ~. •...•. 'JJ 'JJ ::s 0 (D..... e::s..... (Il, 'JJ ••••. (Il $=: •...•.pj •...•.(Il o' 0...... 0 $=:...... 0 ~~.J

'JJ =- (Il' $=: ..0 go.... ::s a- ~ ~ ::s....... == n 0.. a........... = -'JJ tD' •...•.'JJ $=: § (Il •..•.a ~' e. (Il •..•.g..... ...• pj.. :::o ~ •.....•(Il •..•.8" CIl Y' g: (Il (Il C, 'JJ ~. 'JJ (6 ~ (;"....... l'"-.J::s CIl pj n (Il'::l.. 0.. (Il,::S 'JJ a ::> S n 'JJ $=: '00•...•. Q. •..• O"Oj:l (Il 0.."0""" 'JJ(Il' •...•.~ .•...•. "O'JJ t-3n tD (Il, ::s $=: (Il 'JJ ~' •.....•pj el.· ~ o' $=:g $=: C, ~~ ~ ~. 0.. s-: n "0 (Il ~ ::g (6 Qj ~ ::s C, ~ ~ ~ t:=n!. og"o ...•;;;ln:=: 0..::S~ 'JJ:1'::l (;"pj -$=: ~ e: ...• à>::s O(llon (Il 0 ,...~ •...•. 'JJ.......... ~....... = .... 'JJ >-I)!::l '" (Il - .-(Il, nO"....... •..•. •..••P a 5- <: $=: •...•. (Il 'JJ pj 0 0 .....J(Il - (Il •..• (Il 'JJ •.....•(Il-....... (Il,...... $=:"0 ::s ~'JJ •• ~(Il 'JJ ft 'JJ ::s .~ (Il ;:3. (il ::> n 'JJ "0 ::s ~ tfj

0.. •...•.(Il'JJ _~. On....... <: -pj' (Il (Il ~ pj' o;x ~ •...•• ~ a (Il •..•. ::s •..•. "-1"0 n •...•.=o.. $=:go~a ~ê"~ "O~g (Il Cf tfjpj pj ..0 o' (Il, <: 'JJ ~ 0 •.....•::s W •..• •..•.cr "0 pj':4 O$=:::;.·a ~"Oft'< ~'JJ' ~g:""'" (Il <•..•. $=: •..•.pj 0 •...•.0 •.....•g 'JJ 'JJ (Il ~ $=: •..•.•..• .......'JJc.::s 'JJ$=:'JJ::s ~,(IlO ëï'JJ~ •...•.'JJ

g. go 8. g g (Il g 'ê pj ~ g ~ ::s 0.. t:l 'E go'JJ 'JJ •...•.'JJ.... ::S'JJ(Il~ ,'JJpj' ,(Il;X 'JJ'JJ

Page 24: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

~ s~l "" < 1 1 * * 1 =:s~'

g. 0 ~ c' § (D. (D (D 2- > "g 3 (D, ~ g. 1 1 0.. 0.. 1 o 1 0.. 8 0' g Cl: § ~~=:s;::\.v> v> 0' v> (D,~ '"10< 2v> (Dl'-) ~§ 9=:1"'9 § ~=:s=:s~ •.••.•...•.•o o' C, ~ g, (D, ~ (D, C, ~ ~ o V> •.••. (') V> 0 ~ 0 V> ~ ~ < =:s o '-a'::l ~ •...........,_ .-+> 8 (') v>.&;:.. (') ,. •.••. •.••. 0 •...•.•(D (')....... 0 '"1 •...•.• •...•.• .- .-. (D (D 0~ 0.. (D o·..g ~ =:s C, ~, W S § 2 ~ :::: N =:s ~ (D Ul ~ '"1 (D ~ § =:s .-. 3 §-'~ 0 > ~ .....V> •.••. 0 "0' (D; (D (D ~ o' Ul C, '"1 (') ;;5 V> ê5.. (') Y' C, 3 "0o' "O. .-. (D 0.. (D =:s ~ N '"1'::::: .-. 0 a ~ ~ 0.. ~ .-. ~ o 0.. 0 "0 S ~•..• •.••. ~ 0 "0 ~ =:s V> ::+' (D...., (D Et ~ (D' V> V> .-. "0 ~ V> (D ~ =:s (D ~•.•• (D' =:s 0 0.. 0.. .-. 1 V> va..... •...•.••.••. 0.. Po' "0 =:s 0....... =:s '"1 (D.-.Of ~ V> ~ ~ C '"1 '"1 "0 ~ .-. 0.. ~ (D, - =:s :=: V> - S 3 (D ....., =:s 3(') "0 !'J < '"1 q (D 8. 0.. U 0 ~ (D §~' Y' ~ § "O,D .-": § .-. 0 .r-- g 0 (Do 0 '-' .- ••...•.• ~ V>..... (D ~ ~,... =:s v>'-' •...•.• 0 ~ •...•.• (D 3 0.. •.••. ~ '-'=:s ~ V> (D .-. •.••. (D V> =:s '"1 CD •.••. (1Q (D (D, ~ (D, V> (D 0.. o' q (Dq '"1 ~, V> ~ =:s V> =:1"'V> (D 0.. go =:s ~, (D: '"1 (D ~- ~ ~ 0.. ~ =:s (D •.••.~ 1 ~ (D, ~ '-<....... V> 0.. (D '-' ~ •...•.•a •...•.•V> CTC/ V> '"1 (D .-. •.•.•.S·....... < D. ~ ce. V> "0

0(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 V> (1Q :=;...... ~,.... V> .-. '" ,. '"1 '"1 =:s ,. (D •..• =:s -•...•.• (D V> \ J (D (D, ,. (D >< (D'-' (D ~ ~, .....-. (D,~ "0 _. 0.. .-. V> ~ ..., (D ~ V> (') V> (D ~ _. •...•.••...•.•C. •..•.~~ s s:~, .. ~ '"lj ~ V> (D, 0.. ~ ~ ~ < V>o "g ~ ~ ~ ~1-0'- • .-" (JQ r./'J ,... lo-l-~' ~ ('D 1'-' •.• (D r. U') ~0.. 3 ~ '"1 ~ V> "0 0 (D, ~ q o =:s g q"O (D :=:(D (D, ~ ~a 0.. g =:s ;;" ~ >< o' ~ 0..' 0.. ~ 2" ~ a....... 3-' (D,..... 0 0.. =:s <~. =:s (D- '"1 ~ V> '-< ~.e;- ~ a O'::n c (D,':; e. (D, (D ~ ~ ~ 0.. § (DC, =:s (D (D '"1 >< 0' ~ ~ a (D (D (D, •.••. 0..

0.. V> 3 (D "-"::l '-' 0.. a~' ....., (D

~ ~ (D,D ~:::: ~ ~ ~ 9: ~. 0' 0.. ~ § V>'"1 ~ •.••. -'-' ~ •• •.••. '"1....... ~ (D•.•.•.~ ~ (D _. (D •.••. 0-' _. (D =:s 0 o '"1

......-CTC/ '.' 0 V> 0.. .-. •.••. V> '"1 <~ '"1 g;. "0 =:s -'" (D 0 =:s (D, (D, ~ e; .- .• ~ v>0 V>"'-. =:s =:s 0..CTC/ (Dc:r~ o~ a'r Et ~ V> e. ~ 0.. ~ (D e. V> (D ~ ~~ =:s 0 (D CTC/ (D (D V> (D o (D'.a (')(D =:s ~=:s •...•.• ~, ~(D'"1 (D~ (D (D V> •.••. V> (D ~ .• V> =:s (D =:s

_.~.------------- .-_.--- ..-~.--

Il •.•.•.. (')o..a~(D (D,~ o..~(D>V>=:I"'''O~ ~ ~ 0 (D .-. >< Et "0 (1) 0.. q ...•.'-< '"1

=:s =:s r ~ ~0.. 8. ~ (D > fjj 'E. tr.l ~..g (D ~ "0 ~'u ,D"-" "0(D, (D, (D (JJ ~ (D, ~ ::+ a '", r~ ~. =:s 0..... ~ •.••. 2.. ~ ~ ~ +- ~••••.••••. V> ..- >-+-, •.•••.• _. "0 _ v' •.•••.• ~ ~ •.•••.•~ " •.•• (D- I-i77 < 1 g.. g(D(D(D~ ~~,$2 v>~g~gs~ =:Sr>~•...•.••...•.• (D, =' tlj (D a 0.. ('), o (D '-' 0.. V> ~ V> =:s •.•.•. 1'< =:s_. _. '"1 d 1-3 V> (D 0 •...•.•~ (D V> q (D "0 (D •.••. (D ......--e- (Da s Si ~ ~ ~~0..~(D~ ~(')fP _OQ'gv>o.. ~'-'~§-' §-' ~ ....•.. i-3 g- o' ~ ~ 0.. " ~ ~....... w ~ ~ ~ "0 (D g ~ ~ ::tl

C 10""" 00 =:s 0 "0 (D, V> o g Ul ~ '"1 2" CTC/V> Ut >< S'Cl: 0.. o' t:= l ';2. ::l 0 -e U (') ~ V> • -< ~ V> '"1 • "0 _.0(D =:s =~ (D,o~=:s~~ 0=:s,D Cj'(D,(D, §o.. '"1S~ (') V> 1..' ~ o =:s ~ 0.. V> =:s ~ (D ~ ~ (D < '"1 0.. 0- (D'~ g ~, ~ a: 7' 0.9. C, § (D V> (D ~, (D =:s V> e.,.g (D ~ ~ "0,. ;::l r-:l 0.. •.••. 0 •.••. 3 V>....... (D ,,-.. ~ '"1 V> < _. ~a "0 g, tlj =3 (D 5. =:s (D (D ~ 'g g. ~ < '-< ~ (D, 0.. '"1 § ;;5'-' '"1 .-+> ~..... V> _ .•.••. ,D =:s =:s V> V> ~ (') _. V> _. ~ ::::~ ~ g ...., I..~J ~ =:s '"1 ~ •.••."0 0.. •.••. q •......0 0 g 3 (1Q 0 (D'0.. ;!l. 8 tlj 00 :" e. § (D 0.. (3 ~ g ~ g a =:s •.••. (D ~ ~, (D(DO (D ~ =' (Dv>o..(Dc:r ~;::l~ '"1"00..~=:S ,V> =:s '"1 •.•.•.. tlj 0.. < ~ V> •...•.• V> "0 ~ .-. '"1 (D -';!l. (D Q ~.....,,... "0 10""" (D, (D =:s _ (D' • V> '"1 =:s tj;. V> < 0 >< ~tj;. _ 0 00 00 0.. ;;:l v>V a 0.. (D >-+-, (D =:s (') (D Po'V> ~ '"1 .....::l tlj ~ ~ •...•.•0 (D _. (D ~' •...•.•~ V> V> (D •.••. ><~ 0' S r-:l """" ~. (D (D g V> ::+; V> _. ~ ....., 0.. ~ "0 -e- (D'"1 (D, =:s ~ ~ V> '"1 (D, •.••. (D 0 .-. •.••.~ 8 d ~ ê" (D, N (D g, ~ V> ~ (D g ~ o' g.,,-.. =:s CTC/ (1 ~ ~ 0 ~ =:s g (D ::tl;::l (') ~ =:s 0 V>> ,,-.. (D, .....::l (1 0.. •...•.•~:::. fjj !::l ~, (D ~ 0 •.••. =:s ~ ,...•.•.•. =:s r-:l"'" _. ~ ,. 0 •.•• ~ ;::l •••• _. !::l (D -~ ......- (D, ...-1 I..~J ,e:: (D, V> =:s S 0 _. - V> 0 ..=l 0 •...•.• •...•.•~.' '"1 '-< ~ v,", (') '"'1 V> ~ =:s .v V> ~ '-"Ul f- ~ ~ ~ ;;5 ~, 0 =:s < .=:s (D Ul 9- V> 0 tj;. ~ a g~ Ul (D tlj !::l 3 (D _. "0' V> ,-,. '"1.-..... a'-' Ï'J 3 ~ El ~ "0 C, ~ g ~ § ~ n g ~ ~ (Da>~'-' (D 10""" ;::l '"1(D •.••.•...•.• v>(')(D;::l V> C,

~ ~ (D 0' §' =:s ;;" V> ~ 0.. 0 ~ (D Cl:,D (D 0V> ~ 0.. .-. (D •..• ~ .-. (D =:s V> .:::1 ~ ~ V> ~~ rI'. (D, V> (D' (') •..•0 "0 ~ V> 0.. 1 ••••• 0.. (D ~.'"1 ,,~ >-+-, •.•••.• V> (D '-' (') (') '"1 !::l v,", 0..•• ~ 0 (D ~ 0 ~ .'"'1 ~ (D 0 _. (D, ~ (') =:s (D...., ::l a .-. "0 :::l '"1 "0 (D ,. (D _.

tlj ~a~"00 o~ 0..0"(D •...•.•~~ ::n'"1~ ~0(D~=:s ~~ ~@~o..~>< ~.g1.. . _. 0.. (') ,. ,,-.. '"1 .-. '-' < (D •••• "0> § S ~ 0.. "g (D § ê (D g ~ ~ o' 0

V> (D =:s (D '"1 V> V> 1 =:s •..• ~ V> .-. =:s ::+

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"5l .~ 1 1 1 Il?>g. "t:l ~ > ~ > 0.. "t:l '""':::"t:l - o 0.. - ::!l :::-: _ - •.•. '"1 - ~ > ~ ~~ ~ ~ =a:- ~ =a:- ..g' ë e:. g ~ § (1)~ § 'g ~~, (1) ~ S ;. ~ ~ =a:- ~ ~cr" •••. • (). ~ CIl '"1 ••.•. () >-+, ..0 oq '"1 ~ ~ cr" (1), S ...•.CIl • W:::.; p.,..., ~ Ut 0 Ut CIl~' (1) (1) ~ 0 E...• · (1) •••• (1), ••.•.0 (1), ~ (1) 2 Ut ,; 8~'oo j... ~ i=l N CIl~ n~ <: ••.•. () ~ ••.•. 0.. o -;... CIl(1), i=l g :- • q. (1) '"1 0:: i=l ~::l ~ ~ 0 0.. ~ 0 i=l s.;' (1) p. (). 0 S0.. CIl p ~ ~ e. ~ "t:l CIl ~ 0 - (1), (D' fr i=l ~ p i=l (D •..•. a 0 E.. ~ ~ 0:

~- g. ~ ~ Et a Et ~ e; 8. S :. ~ ~ i=l ~ ~ ~ ~ i=l g. ~ ~ : ~, ~ 5"t:l CIl (1) ~ •••.. (1)..... _ ~ (1) ~ ~ i=l (1) e. i=l 8" '" _ ê" CIl - 0.. 0 ce. (1), e."t:l..... ,,!.. o."!" UtP'"1 ••.•. (1) ••.•. ~ - >-+,(1)'"1 i=l ~ CIl CIl~ ~ ~ •••• (1).... ~ CIl ~ ~ •••• i=l ~ ~ (1) •••. CIl 0 ••.•. rIl (1) 0

g. S fr:s. ë. o ë. ~ 8 ~.g ~. ê "g ~ § ~. ;!:.. 8. ;!:. ~ § §"' o l:lo ~ ~..•. ~ S:= •••.. 0..... ~ "t:l CIl >< ~ J5 (1) i=l '"1 CIl 0 ~ (1)0 ••••. (1) ~ ~ S ~ CIlj;"O (1) '"1-_ ~'"1 (1), (1) '"1 i=l ~ 0..0:i=l E; i=l "5' l:lo "t:l l:lo ~ CIl g.::t <: ~- (1) (1) CIl ce.. y; la (1) ê" e.. ~ ~0.. ~ ~. ~ c- '"1 ~ "t:l ~ ~ CIl (1) e:.. 8. CIl 0.... E;;!:.~' ~ .... p.

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Page 26: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 27: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 28: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

0- 0- - "Cl --= o ""': S (p 0-(p, ll:l ll:l '"1 ll:l 0 ll:l ll:l oo:=,,; 1 10'- ::S(')(P't""''''''''' o-::s::st""' •..••..• ..,..". ""';t""' §- (p-::l- ooorJi(P t""'" ::l"'<ll:l(p (p,(')t""'" ~'(p ll:l ooll:l::l -::s ::s 00 01:0. ~' (p - ::1. 0 01:0.. (p, •••• ::l'"ll:l g ~ ~ et '-'. ~ (P::S ~. o ê 2. ~ ~ ~ ~ ~ ~'ll:lg. ::s ~ ~ :. ~ ~ ~ ~ <;. ~ ;>< s. ~ 0- a ~;. e ~::s < (p, •..• 0 •••. ~ G s:: (P.... ~ s:: s:: (p o (p s::00 <;. S o' '"1 ::n ~ ~ 0- _ ::s 00· cr' - 00 (p ll:l' '"1"Cl::S (P::s$ ~ S" p s:: 0- (') g.' ~,o- et 0- 00-g:+ a 0 ~ ::t...... g ::t (p g 0 _ 0 (p 2. (p w s::::l oos:: 0 =: .... (Poo oo::Sl ::s m s::cr' o-cr'll:l 00_ ..0 (p CD ~ a '"1 == 0- s.: - (p . en (p (p, r---.~'::s.... s::_::s 00 _.... (P, -.... (p, (p o '" 00 ••••0,... 0(P' - (p ŒCI . ••••.. 0- •••. 00 '"1 00 ll:l '" • - ::s::s -(po-g. ~ s::oo •..• ll:l - •..• ::s 0-et'-< CD::S ~~ c.. ::::..:..:..ga~g m •..• ~'et00 ll:l 00 Er 0 ~. ~ 00 (p 00 - "Cl - g ....::s~ _ ~ ~ s ~ ~ "Cl : g' : s. g. g ê" ~ ê"o <;. 0 0- ~ ll:l' 8' 0 _ 00 (p (P' 00 0- ::s o(p '"1 (P.... "i s:: - (') 0- 0 ll:l.... 0:::: s:: •.•..00 0 --= ~ '"1 0 0- ::to'rJi •••. ::+. ~ - S(p~ ~o-::S~' _ "Cl::Sll:l 0000 •••• p ll:l"Cl000- (p,OOll:l = '"1ŒC1::S ::Ss::O (p (P)::l"' •..•~ (p ~ "Cl 1.:t. (p g 00 s- 00 ~ 2. S ~~'s:: '"1 (p •••• c ::s p - •..• s:: •••. '"1 (P •.••00:::: g.S::l = ~(p(p~ cr'g.0 o o etll:l'o ~ ~ ;;: S::,.. '" ::s.... (p, _ ::s 0 (p s:: "Cl

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Page 29: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

(1) rJ) (1) Po'....... o (')...- t:I"

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g "2 9. ~~ =. ~ ô ~ -:- ~ rJ) ~ F g. g ~ Il g 8 ~ (1) ~ ~ Po" g;!l.::I. fil s:: 0- ~ o I:j •..•. \ rJ) I:j 0. ...- o ...-0- "0 I:j ....., Q" (')..... _ (1) "0 s:: 0 "0 rJ) 0- 0- ••..• •..•. 0 e; G,e Po' (1)

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Page 30: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 33: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 34: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 35: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 38: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 39: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 40: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 41: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 44: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 45: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 48: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 49: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 58: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

OElJXIEME PARTIE

RÉGLES APPLICABLES AUX OSSATURES ETÉLÉMENTS COURANTS DES STRUCTURES EN

, BÉTON ARMÉ

Page 59: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

CHAPITRE B-l

. INDICATIONS SUR LE CHOIX DES MATERIAUX

B-l-l. INDICATION SUR LE CHOIX DES BETONS ENFONCTION DES RESISTANCES A OBTENIR ETDES CONDITIONS DE FABRICATION

L'article A. 2.1.13 des présentes régIes stipule qu'à défaut deprécédents et d'études préalables, on peut admettre, à priori, pourdes bétons courants, lors de la rédaction des projets, des valeursde la résistance caractéristique à la compression dont la pratiquea montré qu'elles peuvent être normalement atteintes sur leschantiers". Les projets.sont donc établis à partir d'une résistancecaractéristique spécifiée qu'il y a lieu d'obtenir à l'exécution et, austade de leur élaboration, les compositions des bétons ne sontfournies qu'à titre indicatif à moins que l'on ait. effectué desétudes préalables complètes ou que l'on -dispose soit deréférences précises, soit de garanties comme c'est le cas pour lesbétons prêts à l'emploi à caractéristiques normalisées (B.eN.)soumis à un auto-contrôle surveillé.

Le tableau ci-après indique, à la date d'approbation du présenttexte, les dosages en kg/rn! permettant d'obtenir dans la grandemajorité des cas les résistances caractéristiques dont lanormalisation est en cours. Les indications correspondent à desbétons présentant un affaissement de l'ordre de 10 cm à l'essainormalisé.

99

Page 60: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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l' ::n l' 00 ~ ~ (;)"',0 C C':l ~, ~ 13 ~. ~ l' c; .~- e. ~ == -e "'- E; = :3 Y' _ ~. 2. r:t ~ ll.~ ~ >- >- .r en ~ >- ~ ~ (D ~ en rc>•••. o n n ~ ;:l >- en n -< en ~ ••••• o o •••••o ~::::r ~ ::;. o' 0 o 0.. C, ~ o IJJ C, 0 ••.•;:l >-+> l:; o' 0 ;:l ~ c. ~, 0 o ~ ~ VI ~;:l ~ •••••.1""\"" -;:l p 0 Ho, _ - en ,. ,. en· ~~J""-' ~ C1CI - 0.. S';:l S' - ~ en ~ en ~ l-l ~t:O ~, ~ 0.. 0.. ~ ~ •.....0.. ~ ~ -< :::.: en a l 'h:0.. ~ ~ c ~ -0.. en~ '"1en~ On 'ho.. 1""'"~ en~ _ -< ~ ~ "Oen 0..~'"1~;:l~ 1""'" t""en "O::t; ~ ~ § en en ~ ~' g. S' ;a. ~ o· ~ ~n 8~, ;:l ;:l .~ ~ n '"12. •...Y' ~ _ ~ - .....J 'ho..::::r .• '"1 ~ ••.• w ,. - - - C1CI •••• 0 .~..... '-:l 10"'":Il:> -- ~ •••. ~. ~~ o ~ ~ ll:> ;:l ~> 0 •••..:::: Y' •..••O H'"1 ~;:l C1CI en ~ '"1 en '"1 ll:>....;:l~. ~ ••.••

C1CI en ••.• ~ ~ -C1CI o..C1CI •••• ~en_enO" ~ 0 -~ I-i ~. p -- ~ ~ ~ •••.,. :=.. 0 L< ~J

en ~ en ~~ C? en fÇi en g en g. ~ ..0 ;:lTJ:J. Z ==0.. ....-I~' "D. '"' "0 0 0.. l: ...• ••.•• 'ho.._ ".. ~. - ;:l ~ en ~ __ ~ 'W 1""'"~ ~ o ~- en '"1 '< S Il:> ~ ~ (;)"' ~ ~

"0 ;:l ~ ~ 0.. a S ëj;' ••.• ;:l 8 en 00 ••.••.-- -< ~ ~~ cr~~~;:lo.. ~8. .... 0.: 0 ~;:l 2.. en S "0 >-+, •••• 000 ~•••• C1CI::+, •••• ~,~ •••• "0 Il:> 0 S •.•.•~ ~~ S n;:l ..oll:>~en'"1~ t"" ~•••• ~~, •••• ~.... ~ ~ '"1 S;:l •..•• ~o e ~ o· ::;.~ ~ ~ ~ ft ~, en ~ .;:l tt;:l ;:l 0 en •• ~ ~ ;:l ~ •••. ~ ~~ ...• ;:l, n '"1"" P 0 ~Jen en I~· ••.• ~ '"1 ~ ;:l ••.••...•...• "'~, 0"" n;:l en ~o '< ,., -< ~ 0 •..• 'h:~ _ -< ~ ;:l~~Il:>~ ~

'J ~ _ en ••.• p~.... '-:l;:l_ ~ c ~ ~ ~'''O ~ -- ••.••~ '" ~, P •••. ••.• ~ 0en 0.. ,., ~ ~ ~ ~ •••. en...• _ ~;:l ~ 0.. ;:l Z

"0 ~ ~ ~ ~~~~~ 00~..... "0 "0 0 ~ en n enen O· Il:> ~ ;:l"O ~ ~ "0

"O;:l :4 :4 ~,~ ~ ::;.~O. en •...•• •••• ~ ~ ~ sa •.•.~ en '"1 '"1 en -< Vi ~ C,o 0.. 0.. ~ 0~;:l ~ ~ D.;:l 0.. 0.. ;:l;:l.... en en Ir~~en

Page 63: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

~_ (D~ ~ n3°O 0..- o..tJjoon~ \JJ X "t:) 10""'" ~ s:: •..•. -:: •..•.• ",- 0s:::-. .., _(D, <w' 00'--3"" ~' _ rn "t:),....... 0 •.•. o •..•."t:) 0 (D 00 ~ ~ "t:)~' CIQ'" l ••••• s:: \ J - ••• s:: ::r' (D ""1 ••••• 10""'" 0 - •...."t:)_ :- (D (D m' (D- ~ =:s a. - 0 ""1 =:s oo;!;. ~ ::1 00·..........~ IV o s:: 00. ""1 fil "t:) 0.. "t:) ~ ~ ...~' IV ,... (Do .- =:s "t:)..... ~ (D (D (D 0 "t:) cr-.. 00 ~ ......-::r" ~ (De;=:s ~ =:s 0= s::0000(1) ,,(-,2. ;" g~(1)g.~oo 0 o ~ <0..~'S:: (.(1):=-: •..• (1)n=:sàël ê ~ 'g go ;- 1 g ~ (1) (1) •..•. •..•. 8 0.. O, 0= n 00 ::r' 00(D~ ~003 1 ~ . ang~ g~;- ~ gn~~

"t:) ..0 o •..•. 0.. 3 = (1) 1 (1) e:.. 0.. =:s 0::t. N •..•.0' CIQ 00(1) s:: g g m' (1) ::: - rJ). ~ =:s o ~ 3 s. <" 0 1 ~ m' (1) 0..::1 (1) ""1 :=-:"t:) =:s ••• ~ ~ (j (1) Ë. s:: (1) 00 ~ =:s rJ). ::;. 0 00 ::;.;::l_CIQ •..•. 0 •..•. C'" ~tI.l~. x •..•. 0:::;.00 0 (1)=:S""l=§ 0- (1) (D, ;!l. - a ~ i-3 ~ (1) ~ 00 q ~ (1), 0.. 0.. 00 (1), ~'(1) =:s~, O. ::t. (1) [Il 00 ~ :: 0.. (1) 0 (1) ,...::1. (1) t-t (1) 00 ~ (1)=:s =:s ~ n.... 00 -"'" '~J (1), 00 - ""'::~ n t-t 00 0 - =:s•..•.~n ~oo~ ~ s:: ~~ o..n=(1) ~s::~ ~ o..=:s~"'"(D ~ 0 3~' 00.... ..... (j n s:: 0 o =:s o X n no.........· ~~ g~. ~. g' d.g· § ~ ~ ~.a. ~. g g' ~ Ë. ::3 g~' ~ ~,....000.. ..on=:S fil ~ ~ • (1)~"'" 00 =:s 000 ~ 3000<I.jJ s:: (D, s::..... (1) _ 0 00 0 ""1 '-J (D - '"""1 ""1 (1)........ . . (1) (1) (1) =:s '"""::1 =:s 3 •... ~'~ (1) 0 "t:) = Z (1) =:s •..•. =:s..... ~ •..•. •..•. ,.S::p.;"""1 o..=:so.., tI.l =:Sooo.. ~<o 0 oo"E.~JI'~ ~ ~ ~ § & .. ~ ~ (1), ~- oo~' ~ Z '"g ~ a '"gs:: ~ •..•. ~ •..•. (1) ••• 0 <"t:) o..CIQ ~ tI.l '"1'0.. '"1< _ 00 - l~J '''t:) ~ "t:) ~. (D •••• ::t. ~ •....•..•.go &' (1) g 8-, 8 t-t "t:) cr :::-:" (1), e; ~ g ~ 5. ~,.... ..0 - ""1 =:s ,(1), (1),..0 ""1.... 00 - •..•. <I.jJ ~ (1) ~ 00 ~ 00 (1) s:: (1) •..•.~ •..•. - n (1),.&; 3~0 -"'" 0..00(1) aoo"t:) ~~~(1)• •..•. (D - ~ (1) 00 s:: Q:l 00 •..•. 00

~ ""1 ••• 0.. (D - 00 "t:) ""1 n '"1 < •....n..... .... •......• o ,... 0.. ~ 0 (D(1) (1)' •.• (1) ""1 ~ 00 ~ - ~ " ~ s:: - =:s =:s=:s3 •..•. (1) t-t 0""1(1) 00(1)"t:) (1)00 •..•.•..•. (1)"t:) ~ -_ o..~"t:) 3s::~;(1) (D :::: 0 ...:=-: (1) "t:) "' ••••• :=-: Q:l ""1 0.. ""1

(1) 00 - n 00 ""1 ,. < n '"1 (1)E (1), ~ ~..... ••••• o (1) ~ o 0.. 0 00•... -e oo=:s ~ ;-0..=:S ::r'3..... ::r'(1)=:S~_ 0 Q •..•. ::t.•.... n ~'o' (D, ,.... =:s -0••• ..0 ~ 00 <..... ""1 (1) ••• • I.jJ (1),Os:: (1)S:: 0(1)"t:) CIQ=:s.... ~ (1)~:4~ ..0""1 ~""I(1) ~ •..•. o.. 0000..09 s:: 00 00 - (1) ~ s::

"r ~, ~ ••••-: (1) 0.. (1) 0.. (1) - s:: ~ •..•-:••..• _00 (1)00(1) oo~ ~ •..• -

2 1 2 12 ·••• a • u

"t:) c:ao.."t:) (1),0.. oon"t:)~~",-0<(1) ::;:;(1)""1''''l''-s::~ --000 (1)""1

3""1 ---=t:= g~< Cl 0=•..•. ~ s:: ~ - •..•. (1)

3 ,. '" ::;'(1), ""1 00 ~. 0.. (1) ~

3---(1) •..•.s:: ",,,,"'00 •"t:) ••••. - 00 ••••• '"'h w' ,. •... 0 ~_(1)S::'" nH> ~oo"'" ••..•. =:s ""1 (1), ~ -..... _ ~ ,... =:s N>-t, ••••. (1) ••••. < (1)..... ••.• '." - ••••. •n' JI' 00 0 (1) ,.,.., ""1 g (1) - 1~. =:s - "", (1).... (1)~< _n\JJ(1), 0..--=00 >....0· ~ 0 (1) - 0\ =:s ~ ~ (D, o ==:s ~ =:s "t:) (1) '~' (1)::t. "t:) ~ •••.

s:: ""1 0 3 :- e:.. ~ 0 8. 00 ..,"t:) ""1 (D •..•.~ IV (1) (1)~ 00 0 ~g ;; g. ~ ~.~. 3 3' (1) s::' ~""Is::=:s<33(1) ~t:=~p.;" p;- •....•..•.0 _ ~ =:s.... w,(1) _ •••• ••••• ••••• ••••• 00_ =:s "t:) ••n"t:)-s::3°O o..~""'o~ (1) (1) 3 _0.. -CIQ 0.._ s:: 0.. (1) ~- s::..... ~n < "t:) ••••• (1) 00 "t:) =:s r (D •••••s:: (1) 0..0 .' _ _cr'-=:s •.... s::"t:) n'~ cr'''t:) ~:::.:0.. •..•. 0.. (1) ""1 ::r'..... ~) Q:l •••••(1) (1» 00 ""1 ~' ~ ..0 e. '"1 c:a,~,00 ~ 3 (1), •..•.àël ~ 3 (1) 00 0..

"t:) (1) •..•. ~ o;!l·(1) ""1 ~ ~ m' (1)......,a """"'. ::::S""- c/)....- """"'3 .....§ g, .....;- ? 00 ~ : § 2g.~,3ao;- O~n"t:)'" •..•.~ ,... •.• cr' no s:: ~ (1) 8',. (1) _ •••• ••••• 00 ""1~ s:: 0.. (1) ""1 :=-: 3 --= 0.. 0.. (1)(1) c:a (D 00 ~ 00 cr' ~ (1) s::-•..•. 00 00 ~ •..•. e;..... n _ =:s 0:

_ ,... (1) •••• =:s ::t. ~ (1),••• ~, o ~ =:s ~ ~ 0 3 ..0o - ,. ...•.,...... •.•<-.. -•..•. n 0 =:s ~ 00 00 •..• s:: ~ :::.(1) (1) •..•. 00 "t:) 0 0.. 00 •..•. -~ :::: 00 ~. Q:l 0.. =:s s::::t. (D, 0-:s:: (1) 0(1)''"1000 >-t,""I-X 00 =:s •..•. < •.........~. 003(1)<0.. (1)n~

~ X (1) - ••• ~S::oo0.. (1) 0 (1) =:s ~ ~::t. •..•.3 .....'<3 .....o . Oo~m' 0.. g "t:) (1» g. =:s s:: ..ë'(1)(D=:s~~=:s o..o..s::0000(1)~ (1)00 (1)(D(1)

Page 64: Règles de conception et de calcul des structures en béton armé C[1].B.A.93
Page 65: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

3(P,(P = ..•.•.. (')-rF.J$:=t:r' >

1 1 ->-t,(') ~ O(P(P-$lj '"l1 --= N rF.J ~ W ~ (p, (;' 0 Ci ::'. ~ rF.J :;! C. g: ~ ::'.

N :>- Ut S. tri 0 "'3' 3 ~ ~ $lj ~ ::j o o' 3 8' (P a. tl.1o c3 <'73

_g ::j~ (S" $:=e:..!1l(P(PrF.J ~ ~

3$lj $lj;;::" ••.•••••. 0"$:=rF.J (')(') rF.J:::::(P"'" ~rF.J 0.. ::l 0 3 rF.J $:= (') - t:= c. $:= ~ 0 (P >-t, - tl.1 tl.1

0.. Cf) ~ ct,-; 0.. ,..., ,..., >-1 C, ~ l.Il ~ ~ $lj ::l 3 ~ l.Il .....J .....J$lj $lj.... • '-< $lj _ _ 0 • '" •••. ••••.(P ,.. """":l """":l::l t:r' rF.J (j::l (P (P ~ ::l o """ rF.J rF.J rF.J (P ::l ~ = 't-I 00rF.J ~ - ::I: rF.J • • >-1 rF.J $lj 1 >-t, 0 •••• ::l ••••. l 'wI

(D' ~. ~ tri - g e: ..... 0' el ~. ~ ;- "Cl g> 0.. G) tl.1 S~ $lj Z (P ::l..... ::l $:= t-I $lj rF.J >-1 >-1 (P tl.1 00 ~~J

3 • $:= ~ rF.J rF.J (P 0.. ü;" ';;;;01 ::l >-1 ••••.•••. (P rF.J Z .....J 00O

•..•. ~ •..•.•..•. $:= ~ ••••. (P,-~......... ~~>-1 >-1 rF.J>-1 _rF.J0....... .....:"'-1'< (P ~ $:= ,..., C (P tl.1Z

0- (P •••• 8. (p, $lj tl.1 rI'> 'ho:(P rF.J •••. (') - O-l - >-1 rF.J"Cl (Jq >-1 ~ ..,Jo •••..::l ~ ~ ;- C ~ i §.. 00 ,g: < cr: (P :=:;;;........ r!l 'Zl nCf) <; ~ '< . _ >-t, t-I (P (P - (Jq ••••. ~~J ~ =$:= :=.: tri $lj 8 < (P rF.J 0 ..... (P $lj' (p, C, t""l ';;;;01 >-:0.. $lj '7 rF.J ••.• $lj rF.J_$lj 0.. 0.. 0.. (P rF.J 0 t-I ~ H >(P '< ;;::.. o >-1 ~- $:= Z (P (P (P ::l o..::l 1-3 tl.1 t-I ~••••. ~ (j go;' 0 X 00 ~ @ ~ < § rF.J tl.1 Z 0 t-I

;: 0.. tri •..•. 3 C.::l = el $lj rF.J (P (j;' rF.J 0.. 00 HZ 1-3X $:= Z (;; "Cl 0 "Cl 8 tl.1 ~ "Cl "Cl ~ - 3•••· 00 00 ~••••. .....J >-1 >-1 ~ rI'> (P $lj V'of (P t-I"'">-1 = ..0 (P •••• rF.J (P::l ..,Jo (Jq (') rF.J (P rF.J (P 'wI el ~~J(P' (P $:=rF.J rF.J $:=~ ••••• ~ ••••._>-1......... t-It-I"'"3 -.... 0.. •..•. ~ - - (P (P .•••••.• ~ ~ -'" :-- >-1 $lj' (P (P •..• 2 t""l "E.. >-1 rF.J 0.. (p, rF.J ••••• l.Il,. (P ::l.... (') 0..... $lj >-1 •••. '~JCf) ~ ::l- ••••.••••. (P..... (P(')-g::lH;O tl.1tl.1$:= rF.J ::j (P- @ (P "Cl o' n rF.J (P (P rF.J o' ::l ~ Z0.. ••••• (P X 3 $lj::l rJ1 rF.J:4::l _ $lj ::l •••••00• ••••.• ::l (') •••.••"Cl rF.J rF.J S. $lj 0.. (P C. (P ~~J t-I

$lj 1-+ (P 0 tl.1 <.... >-1 rF.J 0 - Z 0S 0.. "Cl •••• ~' ct 8 Z $lj::l (P (p, ::l CD 1-3 ZrF.J $lj •..•. ~$lj::l$:= 1-3 ::l~(P •..•. rF.JrF.J t-Iz"Cl ::l o' rF.J C ::j' >-1 ~ t;j ::l ~ 0.. ,..., tl.1_ rF.J ••.• $lj ,., • 0..(')rF.J _...... ....."'"$lj _ ::l 0.. >-1 (')::l tl.1 •••. 0 1 (P, $:= ~ , ~ct $lj 0.. ~. (P 0 ct rF.J 3 :=: S •... 00 ~ ,$lj (') - ••••."Cl S rF.J ~ "Cl 3 t;j "Cl t""l$:= ~ 0 $lj 0 "Cl = 0 ~ ';a .... .l-. (P tl.1X (P, :::0 ::l $:= ••••. (P t-I •••• (P ct .••. $:= 00(P (Jq:>- ~ >-1 (P..... Z C, 0.. rF.J 3 <

, ,~..... 0 •.•...•0.. $lj 1-3 0 $lj ~. (P, 0.. p. Z $lj (P (P $:= rJ1 ::l ::l 0.. (P ~

(P (P~ $:=rF.JrF.JX rF.JrF.J(PrF.J ••••.

~O $ljo..>-1"Cl>-1(j(P(')(')< rF.J::l(')>-1$lj ••••.(P •.•...•rF.J •..•. O"o 0"' ::l (P, (P >-1.2 (P ::l 'j" 0 $lj 0 (P 0 (P $:= (P ::l ~, 0 (P $lj::l •.•...• 0 rF.J ••••.(P .••••..•. ,..., 3 >-1 ::::: ~ "Cl •..•. 3 V'of ••• • 3 •..•0.. •••• ~ >-1 0 >-1 ::l 0 •..•. 0"' - •••• ~ •••. (') rF.J >-1 0 o (P (P "Cl ••.• 10$lj ~ ~ 3 ~ e. 0.. ~ (P ~, ~ "Cl ~ $lj 8. 0 ::t (P, ::1. "S;! 0 >-1 g (Il, rF.J $:=••••• - w _ ••••. >-1 -..... rF.J ;.... ri) ri), rI)..... ~ rF.J rF.J w' 0.. >-1 •.•...••••• •..•.•••.•. $lj >-1 (P::l 0 0 e ~ 0 Ô •••• •••• •••• $lj ::l o (P (P, >-1.E (P, "Cl $lj (P §000 $:=(P(Il ••••.•.•...•::lrF.J::l_ •..•. rF.J •..•. (P$lj .••• "Cl>-1 •..•. rF.J,...,~ ::j..... X rF.J ••••.•..•. en (P, ~ (P rF.J (p, s: (P •••• ::l •..•. ct $lj •••• $:= -rF.J(P3g o..o..o..g~iêj::lg,...,~ r ::l~g;~~..o~~~gQo rF.J $lj $lj (P..... ....:;j (P >-1 - ::l ;:l •• (P = (P $:= (P rF.J _ ,.$:=' (P "Cl ~::l en ~ ~ g (Il, rF.J (P (P o ~ >-1-g """': '"-;. $:=-3 "Cl ~ o en•••• ::l::;! _ en ..•.• ,..., en •..• >-1 ..e;- 'ci" ct ~(Il 1\ ..0 ,0 $:= - Cf) ::l (P ~ ct, $:= e:•.•...•••••. '.' (P........... - ••.• (P .••• •••• _. ::l $lj •••• (P ::l.... •.•...•en

"Cl $lj' < en (Il e; (j;'.§ (P "Cl "Cl ::l 3 (')' _ ~ ~ (P 0.. •.•...•H> ••••. >-1 ~. rF.J S(P ~ "Cl rF.J ••••"Cl "Cl < 0 :=: t;j "Cl g _ ~' •••• S ~ 0.. "Cl $:= o..::l$:="Cl 0 3 $lj 0 $:= (j;' en ..0 ~ (Il, rF.J 1/\ •.•.... 0..:4 i" o (Il $lj >-1 (P (')••••.0>-10.. $:= C. en •••• (P § $:= 0.. ~.... V $lj "Cl (P $lj:>< •..•.•rF.J ::::: (P rF.J (P

_ $lj •..•. $lj 0 ~. rF.J •..•. (P •••. •..•. :4 _ $lj rF.J::l •••0 •.•...•••.•·' rF.Jg> o::l '~lo(') •••• (P "Cl ..0:4 $:= $lj _ ~ _ ::r >-1 o (P ::l ••.••(Il $lj (P •.•...•>-1 ::l rF.J rF.J 5: ~ 5: ::l ~, ~'$:= $lj >-1 ~ ~ ~ $lj - rF.J (P ~ 3 >-1 3 ::::; ••.•3·(P (Jq....... •••.•••.• >-1 -::l (Il..... N 1\ o (P 0 (Il 0.. ••.••o 0 (P

•.•..• (P (P ::l •..•. rF.J 3 (D' ::: t;j...... $lj' Ut....... •..•.>-1 •.•...•::l ::::-' (Il ct (P •••. •..•. ••.••.••• >-1 rF.J (P t:r' ::l $lj 0.. ••.•.••• S _ •••. (P •.•...••..•. - rF.J rF.J en, ::l rF.J ct~ 0.. ~ g. ~ g'"8 ~ ~ ~, ê ê~, c ~ ~ g ~ Ô: ~ ~ ~ -g ~ ~ 0. rF.J(p, $lj rF.J rF.J 3 (P::l rF.J....... V'of :>< . • ' ~ .•..•. o' rF.J (Il (P, ~ t: $:= rF.J;;.5 ::l ~ ::l ••.••rF.J ::l 0.. $:= 3(P, 3 0.. g .. ,. F (P ~ ••.•• S t;j (') •..•. (P >-1 g0"' rF.J $:= ••.••..0 ~ ~ ~ :sa '" e (P (P •..•. ••.••g ~ ,..., ~,~ ,..., (P ••••.•.•...••.•...•>-1 $:= ••.•.••.•• '.... ,. ,..., rF.J >-1 0.. •.•...•0 rF.J (') - - - •..•.(P (P ~ ~' (Il ;..; (P "Cl 0 g ••.•3· (P, _ Q Q Q (P, $lj::l (P $:= ~ 0 ~ >-1 0..0.. rF.J (P rF.J ~ "Cl 0 :4 rF.J - (P >-t, ••••. rF.J-g >-1.....::l e: • .g'(P "Cl (P ::l.... 0 S rF.J 0.. $:= (Il, rF.J Il Il Il 5' (Il3 (P, 3 ~ (Pe: •..•. $lj

$lj ::l ••••.••.• "Cl $:= >-1::l - 3 3 ••.•• ,"Cl < >-1 rF.J $lj rF.J rF.J::l_ a. ~ ~ (P g :: ~ g § 0.. (P ~ - .j:>. 0 (P "g, 8 ~ ~ ê.'"g S 'g ~ ~,g ~ ~' ~ ~ >-1.2 ~ ~ ~ ~ ~ a -- 7" ~ ~ $lj 3' ~ S ~ ~. ~ ~~

"Cl $lj 3 0 ..0 e: •.•....rF.J •.•...• 1 $lj e: $:= $lj 0.. (P (') •••• rF.J$lj (P C. 0.. e: (P (Jq (P en 0 0.. 0.. s- , "Cl >-1..0 "Cl •.•...•(P •..•. (P 0 0rF.J,g 0 ~ 8. (P :::;;.5 3 ~ ::l (P $:= i" - >-1 ~ e: >-1 (P rF.J "Cl ~ < ::l

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Page 66: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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- Pl (J t') N (1), "'..... v lJCl ::s '(1) _. '" tj ,. ••••. '" lJClg~o = . (J •..•. O"'(J (1) 0 ~ (1) "'::s9;:l~0... 0...'"0 ~•.••. C 9 - 0 C - ~ 0... C (1) 0... (1) '"0 •.•• 0 Q..~ ::s '"0 Q.. ::s g. ê Pl (1) @ ~ 8 ......g' ::s (t (t ~ ::+i g ~~~ (1) Q ~ g. 0... ::t a'ë1 ~ '" ~ ~ g. (1) ••••. •.••.• ::s '"0 ~' [ ~~ 0... •..•. "0 C (1)(1) (1) '" "0 0 ::s (1)(1) co (1) •....• "0'"0 Pl § _ .....en '" (J (1) - •.••.• •.••.• 0... ::S' '" (J C ::s ~ Qê~"'" § ~(J~~§8 ~ ~ °a990@ ~Pl ;;.-~ (Jq g. t') '" go c. 5. s. c, ~ (1) c.E. 0 9 '" (1), C S.•....•~'" ~ O~Pl~::sPl r •....• ","'09'"00 •....• ~ ~(1) ::s '" ::s u'"' •.••.• C _. ••• - - 0... ~ (1) •..•. c, (1),-

(1), '"0" •..•. (1) '"0 (1) •.••. ~ = 0 :::.: (1) Pl •.• (1) ~ tj 'oJ =(J ~ 0 [Il tj ••••.(1) ::s ~ ;:l 0Pl Pl c.. Pl ;:l ~ '" (1), '" •..•. en •.••.• :a :::; 0... ~ (1) C•.••.••.••.•••••. ......(1) •.•• '" -'h w"'~ •..•.(J (1) '""'l 0 ::s .-+ 0 0... ~ (j;''';;: .....'...... ,. '""'l ::s '""'lC (1) ~ •..•. ~ ::s (1) ~ ::s u,", ,<,\ (1) 0... •....• •....• .-+ (1)•....•Pl' '" '" en (1) •..•. '" ~ .....~. ~ '" (1) Pl (1) sn Y'

Page 71: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

'" a::l 0.. :: ~'< ~ a '"0 >-+'0..0..l , 1 ~~(Il(lla >-+,(Il,o.. O(llO 0 (Il

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Page 72: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 74: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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• "''' "'"1 s:: 5- 'O. e àC/' (1) "'"1 S (1) o· ::s s:: ,. (1) •......'0 "'"1 0.. 0.. (1), 0..(1), § (1) ::s "'"1 C. tI> ~ (') 0.. ~ (') ::s ~ >< ~ ~~, p;- ~ s:: g. (1) (1) Cl~qo..'Os::o e (D"O (1)><0 s::~(') •.....• g'(I)~,",'O(1) p;-(')o~·::::::.. (1) •.....•'"'1 ::s _ ::s.......::s '" cr" 0 (') '" '" " """::'"'1 ••••• (1)'" ~. "" (1) '" ....~' o ~,..-.,o o s::...........• s:: ~ ""> (1), •.•• "'::S,. •.....::s - ""S (1) (1) (1) •..• •.....•.. '" (1) - '" (1) -< ::s~,g.(I)~(')o~ = ~'""'I 'OoUt'""'l S!.",Q '"' g"'"l8(1)~ (')(1)(1),

",. "'l' ~ ~ •...•.•~ w •••••• •.•• '" (1) ::s w' -::s (')o (1) '0 ~ i::l •.....• tI> (1), Ë •.....•(1), (1) '" ::î ~ '" 0 - "'"10 0· ~ (1)~ - ~ (1) p - '" (1) ~ ~ (1) 0.. ,. ....::s 0.. cr" '"S~"''''"I'g~ Q.. 0.. ~"""'o.. (I)::S~' '" ~,s::~~~ P(D"i{5U1 ::s -< ~' •....•• •....•• ...~ (1) 1 (1) '" '0 •...•.• '" •...•.•::s •...... - i::l •....••

Q'q (1), 8 o ••• '" '" o ~ ::s ~ (1) (1) '" o o· P "'"1t;+> g ::J. g. (1), (D" ; ::s ~ '0 g- '"'1 (1) N ~ •...•.••...•.•(D" ::s g (1)

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~ (1) § ~ ~ 8 ê g s:: 5. Ë: ~ n (1), 8: ~ s::~. "'C ~ ~ Cl ~ ('[l,

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(J'q (1) s:: 0 '"'1 P....... ,. •••• (') '" "'.............. 'oJ'" "'"' (1) '" ~(D" 0.. (D" (D" ~ g § ~ ~ § .. . (D" ~ ~. e;; ~ a. 8 ~ ~C(l (1) 8 (1) '" - o· (1) '" '" '0 8 0 _ (') •....••

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(1) 0 '" "'"1 _.. ,. '"'1 - •.••.• ~ ~ r.oE; Cl s::~..g' (1) ;4 (D" ~ '0 ê '::s > 0..0 §'" s:: r:t..o e:! 0.. ~ '" . l:» _ '" n U1 ~ •....••

-(I)S::;:+ (1) s::(') '"'1(1)_ ~ 0'0.. ~. '" (1)....... - i::l 0 Cl (1) s:: (1) ~ R> - S•.....-:::s ~ ~ (1) ~ p::S (1) >< "'"1 s:: p.,q 00 ~S~s::- . 0'" "'(1)0.."'"1 ~8 ~ 0.. ~ g. S· e.. ~ 8 (1) '0 ~ ô 8 (1),(1)g "'"1 (1) e; rn~ (I),'O"'P;- """l ~~~g.. r:t 8. '" ~~, 0.. 8 (D" g ::s Z 0 ~ ::s_ (1) -..0 v,", 0 (1) '"' c. '"' tI.:l ~ •....•.-(1) ::s 0.. s:: ~ ~ ::s •..•..0 •..•.• 0" ::s •.....•"'_(1)(1) s:: (D"g ~~::s~ ~8~

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v.> "O~v.>pï Citl "O@, •..• (") C1Q0 $lj(") (1) v.> [I:J C1Q:::>:=;._ ••.• =~ "0 ~ @ ~ in' ~' ~ ~ 8: g ~ g. ~ g :': 0 ~. ~ <t @ $lj § :5!

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g. ~ ...• ~~. ::: g ? 8' 9' g ~, a ~ § ~.~ ~ "0 @; ËÎ g' < ~ (1),

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Page 77: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 81: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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0•...•.•....... 0 El •......• ~.:... o, ~ ~- 0 ~ •• >-+>t:: ::;.

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::l..... ....•.t:: •..• t"'" • l~'" cr; (") t:: 0.. G _::n (") l~J G> ~ e; ~ W _ • ~ ~ :=-: G•......•G N •...• ....."'":l '-' G, fJ:J G ::lfJ:J W (il 0.. •..• tr1 "'1 ~ tï:J fICI t:: "'1 ft~ ~ VI ~- 0.. G 00 e. fJ:J ::l ~.~fJ:J ê G tr1;;;; :-JG' -G ~ l-3 c N~ ~fJ:J El~ ~ >-+, •••.•.••-.l •...•.0.. 0 t::...... ~ -:...' "0G 5' ~ S?.. c:: :., g ~

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Page 82: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

Z "0 •.....• ':7 0.. "0 ,,-... ::i 0" '" 5' Il' Il' > 9 2-_0 Il' ~~1l'~01l' C "0"0 ~ Il' Il'

o 0= > 9 Ei <@ N :s ~ ~ X ::i 5. r- ~.~ -g '2. r: E". o' t:Î ~ P- ~ ~ ("'),.' 0 " (1) (1) "0 "< ••••• Il' :.;. ""1 Il' (1) 0•..• ......:1 •••.. P (l)C 1 1l'Il'(I)'::i 1 ::i(l)(I)("') ""1 ~ (I)'::i "'0

• ••• l'V _ ""1 ':7 '" ::i •...•.("') 0.. •...•. , Il' •...•. (1)0.. ~ (') '-'.... "-- ~ r:t 0.. E:; '" '" ':7 (I)::i (1) 0"..... •••• '" '" 0(1),. - •...•.0" .....- (1) •..• - ,. ~ '" '" tr: •.....• ("') 'oN...... 0\'" Q ~ oll'~ x (1) •...•."' •.....•x ",Il' (1)....... 0..(1)

oQ' 1 •••• C ~ o..~' -;...9 0.. '" @ !:; 0 g ~ '" (1) :-.J (1) Il' "'Ij '"::i _ 'oN Il' ~ (1) (1) C (1)' (Jq (1) ::i (1) ""1 ~. "-- ~ N ~ C (1) •.••-:(1) ..., ......:1 N "'0 •.....• ::i ......::i•......"0 (1)...... •..••. •.....• .-...:l .....- 0 ,. "0""" •.....•

~" 0 (1)...... •...•. Il' "0 tr: C ':7 ""1 0.. (1) '"""J 1 ::i....... l~J '"-g Qi ?' ;:+; Il Ei....... ~ 0 (J'Cl 0 C ""1 ~ g' (1) C g f>" trj ~ '" C Ul Il'-""1 2. 1 œ ~ _ Il' "0 C (1) ~, ""1 C "< :=-: "0 ;:;l ~ 0\""3 0.. ~ 00 (Jq

- •••.. •..• C Il'::i '" ""1 ,. (1) w' •...."0- o· :g ~ Il' ~ g ~ ""1 '" "0 ~'~' (1), g ..0 8' (1) ~ •.....• (Jq 0 •..••.""1 = L. . (1) 0.. ~ o <: C ,.§-g (1), Il' ~ (1), ~ •.••• •...•. 1 Il' e. C 0..&" 2: ("') ~ g g. § 8 g. ~' r;;' 0.. ::;. •. ~ r:t Y' --= ~ "0 Il" 0.. (1)e. .L.< ~...... ""I::i ......::i (1), •.•••~ §....... ""1 (1) 0.. e; a= (1) 0\ (1) 0"~ (1) ("""t- (tl ("D f""'!'- t"""t f"""'t-(1) ('1 (1) Il' C,.., (1) •.••. 0.. C (1) '" '" Il' ("') Il' •.••. •.••. ~ ""1 e;'" = _ c - r:t::i"'''''1............. CO)::i("') - ~ P(I) ""1= •..••.••. (1) (1) cs' ::i (1) ~ •...•."'......""3 ,. 9:::.: (1)0.. trj 0" 'E. (D '" "O~' '" Il" 0 tr: P 2 ~' (1) trj "0 .:=-: '"(1) :=O!:; C ~ Il' ""1. 5ll' •.....•':7 ::i '" g (1) tx:l _ 0 tr: 0tr: rJ) ","'(1)""1 C;; (I)~("')(I)p go("') '-' ""1 '" C0.. 'b.... (1),...... 9 ...•. (D '" ~ 0 ~ ~ •.....•::i Il' 0\ trj rD, $2Il' 1"""" (Jq H, Il' ::i (1) ::i.... '" • (1).... >-+0•.....• •••• Il'''':=- >-+,""I::i (1) •...•. t:;'f/j o.."'$;! Ul ~ • 0.. =.:•.....• . "" •.....••..• (1), Il' '" •...•. •..•. '" (1) ,. 0.."" (1), '"~ :=0 Il" (D ""1 ::l. "0....... ::i (1) ~ tr: g (1) ""1 l~J o '"

trj C ~ (1) "0 X ~ ~ •...•. p ::!l '" (1) ~ (1) Il" Il"

~, ~ ~ :. ct Ei§. ("'):. Il' ~ ~. ~' ~ 0.. [0 ~ Ël::r>-+0 > ,.. .....::i Il" g (1) C 0.. ~ ::r 9 Il'..... ~ Il' '" Il'Il' _ Il'~"" o::rp '",p (1)(1)::::>-+0 •.....••.....• ~0" L. . <: 8. - ~ ;:::,"0 ~'o.. ,. Il' '" •...•. (1) Il' (1)...........""1 t"'C (I) •...•.c -...lx •...•. P(l) •.....•C r:t"'c ~ C '" (1)..o' trj o (1) ~ Ul (1) (1) g ~ Il' X ~. (1) ""1 X ~ ;; ~ Il'C rJ) ~o.. ':7 e--e p 0.. •.....• (1) _ '" 0..(1), ,.. (I)~"0 ~ ~ g (1) ~ e. g (1) "ê o "0 0 0.. o..::r(1) (I) •.....•~ x"'c::i....... '" -: •...•. 0 >-7 0 (1) (1),Y' ::i Il' .• • C •...•. tr: (1) •...•. ("') ~ Il' C.L.< •.••• ""1

"'0" "00..(1)(1) ""1 o::i...... <: 0.. (1)~ ~ g. Il' ~' ~ ::i '" ~ ~ ::i ~_ ~ @ g p;' ~'" ""0 •..•• ~ •..•.•...•. Il'::sl (1), e: '" '" 9 (1)o. Il' •...•. - (1) (1) ""1 "0 '-' (1) •...•. •...•. Il' (1)' ,::i (1), (1) C ...., Il' "0 0 •.••. . •.••. '" (1)...... 0..

.. ~ (1), ,,-... ~ ""1 ..,...,<: ..., '" "0 0 "0 ""1 0 •...•. ""1(1) 0 •.....•0.. ~ (I)~=. ~ Il' ::i Il' (1), ::i ~ (1) ~'" C (1) (1) Il" '" (1) '" (1) ""1 '" '" '" •...•. ,. ~-

0.. 9 êl o ~ "0 0.. "0 Ô 0.. (1) "0 "0 S 0.. 9 Il' Il"C;;' Il' p 0 ""1 a Ëj' 0 C (1)- r:t (1) ""1 0 0 0 5' Ho,

"0 ::i 0= 0= (I),::i 0= 0= (D' <: II pEi......::i II 0= (1) o. ~ II .....::i::i tr: 0 0oc· ::i...... '" •.••. Il' (1) (1) ""1 - (1) rD •.••. (1) ::i...... 0 •.••• t:l~. ct:-.J......:I Il' 5' :-.J :-.J 0 '" . ~ CP ....•.' g. (1), :-.J ::i ",..0 '" "'....... :=-: o :::l::io. ::;.?' =-. ~ c?, ?' c~. g" o' '" ~ Il' -go ?' ;::î. 0.. ~ ("') ~,Il' S' 0 ~ ~Eii' •..•·N:., es '" N N 0..(1) C ::i"O 0..(Jq c;; I-l. "' •..•. 0 1l'''O •.••. ~ '"

o· ~... p • • (1) •...•. '" ""1 t1l (1) tr: • Il' ~ Il" •.....•Il' ..0 •...•. •.....••..•.o..::i I-l.;"" (1),,-... Q 1 (1) (1) • (1), (1) (1) 1 oe ~ ::i (1) ""1 C •.•••1l'(JqIl'- ~ ;..... ::i tx:l • ~ ~ '" C 0.. ("') e-e C •••• (I)'::i C 0.. Il" O. (1) 6' "0 ::i

"0 0..' 1 f/j 1 = ""1 e. Il' 0.. ""1 l~J ~ '" ::i :::.' (1) • (1), Il' (1)"0 (1) 1 l'. •..•.-...l II ::i (1), C •.....•C (1) ~ •.••. (1)..... ("') eJO II (1) ""1"0C •••• ::i. (1) ~ c<: ....•. (1)00"'9 = 0 0 g.C(l)t.- •...•.•..•. '" II = 0.. 0 '" •.•. ""1 Il' :::.: '" 5ll •...•.•..•.••• ::i .g' ::i •.....•"0 r.'> --0 (D'!:;~ Ô ~ =-. ..o' Il" ""1 Qi ~ Z' (1) ~ (1) g. 2. ~ '" Il' '" (1) (1), "0 @, •.••. =0.. ~ "0 E2i ~, •..•.•~' g. ~, ~' 5' ~ ~ ~' 9 ~ "g ~. 0: ~ ~. d ~ ;;,~(1) Il' ""1 'J '" \JoJ CP •••• •.....•....•. •.....• Il' ~ ~ C (1) C '" ::i (1),(1),

CP ~ & ~ 8. -...l:::' § : 8 ~ fi ~ ~ CP a ""1 ~ ~ . ~ d B. g ~·fr<: Il' 0 l' v,", t"I.l C 9 0.. (1) ••• •.....• 0 (1), "0.... C:=:Il' ~ :=: = Il' Ul g' .. ::+, "0 g ~ 0 '" 0: = ~ 0.. 0" 0.. 0" O, r ""1(1)

(Jq (1) t"I.l "0 ~ '" ~ •...•. Il' ' •..•• 0.. C ~. ..0 (1) ~ e. (1), 0 (1) (1)"'_(1) 0.. '" ""1 '.' ("') (1) 0.. .•...•. (I)::i;;;l C (Jq •.....••...•. ::i -

"O(I)o..~ ~''''~ (1) •...•. ::;. (1)"0_(1) = (l)Ul(l) ~8"'::i!:;0..""10 • -....... (1) .j:::..1l''-' _....... ....("')"O~(I)(1), 9 .....:::; ~ (1) ~ ::i 0.. '" 0 "0 ~ CP ("') 0.. .::i.....::r p '"<: C;;' <: ~ "0 ~ '" C § g 0.. ~. @," '" 9 (1) ~' ~ Il' (1),0..~ (1) g~. "2.. g.. "0 0.. '" p ~ o' 0.. C ~ '" (1) ~ ~ (1)e.0.. (1) •...•. 0 •..•.~ d, (1) •.....• "0 ("').::i e. ::i '" Il' ::i (1)' 0: •.....•Il'::i (1) = ..0 O, 0.. •.....•(1) 0 (I)::i....... (1) ê ""1 '" ::tlc~::i r:t ~ C<: Il'~'" Ei::i(l)(I) (1),>-+09 "O("')::i::i'" "0 (1) = (1) (1) •.....•"0 <--. 0.. 9 ""1 "0 Il' •.....•0 ~ (1)"0("') ~ <--. _ ::i '" CP ""1' C CP d (1) (1), Il' "0 ••.••. ~ ::i CP ,.., (il,(1) ("') c.... •...•. Il' '" (1), ~ "'::i ;!: •.... 0 C (1) ("') ~ ~>-+o'" (1) '" =- ("') C • "'..... "0 (1) •...•. •... ~ C ""1 (1) C :::..Il'o ~ o. = 0 x g ::tl ""1 '::i 0.. ::;' (1) ""1 (1) (1) 9 ::i •.....•0"

"0 ("') ::tl ~ ~ 0.. ("') ("') (1), 0.. (1) (1) C •.....•'" ~ (1) (1)::l.(1), 0 ~'t"I.l P Il' (1) ~ 0.. (1) '" 0.. ""1 ~ ("') ::i >-+'0"0-9""1 ~ ?); "0 •.....• ••••• Il' '" (1) 0 0.. •...•. •.....••..•~ .E ~ ....•. CP (1),0 :=: '" ~ '" ~ "0 ::i (I)~•.....•::i ~.(I),•..•. ~ (1) ~ (1) '" <: ::i (1) 0 ""1 0.. "0 (1) S? ::i ~o (I)::i 0 (1) '" '" C ("') .j:::.. (1), Il' '" •.••• (1)~~ .!+ "0;::1. CD ~ ::;. (1) 0.. rn ~ 0 0.. 8. C;;' "0 0 ~ 0..

. • (1) ::r t"I.l ::i ""1 C ::i (1) 0.. C ::i ("') ~ '" '" ~ S (1)::i Il' S. C ~ g.. "0 (1) (il e: s ::::(1) (1) ::i (1) ~ ~C '" ~ "0 •.....• "0 ("b Ul '" ••.••. (1) ::i C ("') ~ ,.., •••••

(1) ~ ,.., "0 (1) ::r ....•..! ~...... "0 '" •••••. ""1 ::r p -::i0.. t"I.l -C Il' ~("')"""O (1) (1) (1) 1l'(I),(1) 0.. (1) •.••.. 0.. '" (1) 1~ l~J ::i C 0.. (1) Il' ""1 ::i :=:(1)'" (1) '" '" (1) (1) '" 'p ::i '" •...•. (1) ::i C '" •...•. (1)rn

Page 83: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

~ •.....•0.. .-.. 'ï:j () 0.. o 0.. 'ï:j 'ï:j 0.. 'ï:j '-' . (1) 0:; 0.. .-.. 0..BQ;;;' ~ e; ~ (1) 0 (1) 2" i=' (1)- 1-1 ;;; ~ (1) g (1)-r 0= ~.o 'ï:j e:.. ~ g. '-'. ~ ê-. 1:1 ~. r Cf)~, ~ C-, (1) r t:C ~ 'ï:j ~ c~, ~

;-J 8" c_ ~ (1) Cf) C 8. ~ ê 8: ~ Q ft 8 ;;;. ::t: ::l -..J ~~, Cf) ft 8 -..J

~~ ~ ~ § ~' f: ~, ~ ~ S 8~8 ~-9 s. g. ~' g ê. @: t ~@: g. CD g. ~•....•• Cf) 0Cl (1) ~ ~ (1) 'ï:j...... ::l.... (1) •....•.•..•. (Il • N •.•...•~ C::l~-~ ~ ~ 'ï:j ::;:;-'....... 3 •....•0Cl Cf) Cf) 1-1 C- 0Cl.... Cf) 0 (1) N' (1) r:::! 1-1 :....~ • ,. ~ ~ •.•• (1) l (1) (1), _ (). Cf)V'-f 0.. .-::l 1 ()::l C Cf) (1) (1) 8. 'ï:j 0.. ::l 1 0.. Cf) ::l '-'. 0 1 (1) e: C No ~ (1)::l 0.. ::l o ~ .-..(1) ~ 'ï:j 8. C 0 c::l 'ï:j Cf) Cf) •(1) = Cf)(1)o..e:..ft -~o..()c~~ ::l'ï:j~~~Cf) ~ g~ 'ï:jO~1

rI.l 0.. ~ 1-1........ (1» Cf) 0 0 <: ?);::l ,.0....... C •....•· C, rI.l 'ï:j Cf) ~ê ~ ~ C 8. ~ 'ï:jo g 0.. ~ ~ g ~::l 0' § ~,- ~ 8" e, (5 ~ ~' g ~t:R ;:l () .-.. (1) (1), - - (1) •....•.() Cf) ,., (1), t:R ::l.... •....•.•...•• Cf)

0Cl r') •....••0 0.. Cf) C (1) Cf) (1) (1» ~ ~ Cf)::r (1) ~ (1) (1) r') - 5. ....., rD '= ~ ~3(1)~~ ~()Cf)(1)~Cf)c ~(1)I-II-I()'ï:j ~ ml-l ~I-I'ï:jCf) ~ (1)'ï:jCf)'ï:j(1) §::ro..o..(1)no.. ~1-I~(1)o~ ~ ~(1) ~o..~rD 0 :" 0 '-'. "2. g 1;::. e; § ~ o ~ (1) -g ~ .....,3 1-1 0 (1) (1) e:. C 0..

3~ 1-1 0 •....•.~ ::l 0Cl Cf) 0 ,,=,' •....•. 1-1,.0 ~ 3....... ~ ::l (1)""" ~

- •....•.,.0 0Cl (1), (1) e;::l 0 0.. Cf) c~· ~ (1) 3 ~ ::::=~ rI.l

o(1) ::l C (1) . Cf) CD .-.. Cf) ;:l ~ ~ 0.. (1) (1) (1) 'ï:j Q.. ~ 8 :::.' (1)'

•.•• 'ï:j _ •....•••....•.Cf)....... '" (1) 1-1 ttl •....•.3 (1) 00e-e- = Cf)g3 80"80..~en ~ooenCf)C(1), 3::l0..(1) rI.l C ........-.. •....•. ::l (1), •.....•~' C 0.. (1), Cf) ~ ;:l 0.. ~ (1),~ ~ (1) go~ ~ ~' g (1) 8. ~ g ê. ~' Et : ~ g. 'ï:j ~ (1) 8~. ~ (1) g =t~' _ c~::lS ;:l 00000 00@_0..(1) 0 'ï:j 1-1 CD'-'. n' ;:;l 3 ::t ~ ~ ()o ~ Cf) :::"::l 1:1....... 0: (1) e:.. (1) = 8 e; 1-1 gc.... (1) •.....• (1), ~ 0 (1),::l ~ ::l - - ttl 3 0>00 s- 'ï:j (1), ~ (1) C Cf) :::.' 0.. () 0.. ct - (1) - = 3 CD (1»~ _ 1-I0..~1-1 Cf)~c ~o ~I-Ienl-l (1) S~ ~>-+: o' (1), ;. e ~ 3· •....•• 8 ,-,.::g - 3 Cf) () 3 0" "Cl (1) ~ 0.. .CD...... = 0.. •....•1-1..... (1) -e 3 0 1-1 (1) 0 0 (1), =- (1) (1) '-'~ rI.l ~ 1-1' (1) 'ï:j 'ï:j ::l § ••..~ :" 8: @ 3 ;:l Ô ~ •......- o c',~ s- [ ~ : §. §. ~ :. ~ ~ ~ §: 'g ~ ~ ::l ~ ~ ~~ ~ c.C = ~ 0.. C (1), ~ ~ (1) 1-1 •....•.() 1-1 Cf) (1) _ () Q.. ,.0 ~ 1-1 ::n::l (JQ ~ (1) ~ ~' ::; (1) Cf) (1), ::l 0 ~ ~ ::r 8 œ:: C l:j' ~ (1),•....•. ttl...... (1) 0.. - ct ...• .... 0.. •....•.•....• •••' (1), (1) (1) (1)-e = ::l' 'ï:j ~ ~ Cf) ~ •....••~.... 0.. - (1),.0 ~ = Cf)(1):t Cf) 1-1 1-1 (1), ,.., C ..;a 8:::l ~ t;;. (1) Cf) C (1) ~ ~' ~ (1) (1)~'~ •....••(1), 3 'ï:j _..... •....•.d •...... •..• (1) (1).... ,. -C rI.l o..'~ oo..OCf)~E s ....'ï:j·::l ~ ~_ ()::l

•• ,.0 ~ ~ •....•. :::.' (3 Cf) g; 0.. ::l 'ï:j ::r ,...., ttl ~ e; 0 'ï:jo...~ C__ E ~ S: ::l §' (1), f;j ::r ~ \ J ~.. ;:a. 0Cl 3 ::rI(1) ~ - 1-1 (1) ~ - 0 _ !'"l''ï:j ~ 00 (1) ~ •....••(1) 'ï:j ~_ C ~ (1) C C 0.. ::l _ tD ~ ::: Cf) (1) :::: () 8.. C •..•. Cf)1.~ ~ ~ Cf) 1-1 00 (1) Cf) ~ ~ 1-1 •....•(1) Cf) (1) (1) (1) 1-1 (1) (1)

.

0..,.0 ~ ::r 'ï:j r Cf) (1» •....•. ~ - ~ Cf)(1) C e; ~ - (1) (1)- ~ •.....• 1-1 ~ 'ï:j C

..,.... t:C o •......:'" r t:C ~ § 'ï:j ~ (1) '< 1 3 1 ,.0...... ~::+,~ (1) () (1) (1) () (1) ~ ~ cv....... ~0.. ;-:a Cf) § :> Cf) ;-:a C ::r ~ .(=l ~ - ~ 8"~' g.. § Q ~~ ?' 1:1 0.. -.l 1-1 ?' ~ ~ 0.. ~ ct (P' - ~ ~ Cf) Cf) O,~ ••• (1),CIv~' ~ (1)n::;::lc~,..,o ~- oftC • 0.. :::". V'-f • - Cf) Cf) d -::l C • (1) ::l_ 1 ~ +::- :;;;- 1 _ ....., _ •.••.•• ~ () (1).... (),.., ".., ~

•......0..' '" - •..•.•....•::l '" 0 ,..,' • c:" - ,.0.. ~ - ~ lJ,) Cf) (j..... .....- I-l (1), ::l "(1) :::l;:D (1)'ï:j(1) 0 ~::l 0"-" ::; ~ - (1) 1:1 0.. 0 Cf) (1) Cf) Cf):::.

'-' •••• ~ Cf) (1) ~ = (1) (1) Cf) (1),....... ~ 'ï:j 0.. 1-1 Cf)c' ~ 'ï:j •.....•.-.. ~ Q..::) ~ ~ :. ~' <: C, C g 1:1 (1) (1), (1)~ 0 0 ~ 0:; g.... H ~§....... 8 0 ~.-.. 0 ce. (1)....... = C 'ï:j -.l 1-1 ~ ::). :t' := ~ 'ï:j 1-1' ~ (1) ct ~ (1)::l~ = ~ i=' Iv ~ 0 '. =l (1) ~ Cf),e; 0.. ~- CD () ~ Cf) ~~ ttl 0 'ï:j' (1) ~ ~ ~ (1) 0 (1) C, (1) ft Cf) Cf) C, g ft (1)•..•. ::l ~ '-' ~ ~~ ::l •.....~ 1-1 Cf) - 0 -o' g Cf):4 Cf)_0.. ~ f~::) = l ~~~0.. ~ ~ ~' 8 ::l g ~ ~::l = C, ~ (1) CL..... 1/1 (1) (1» (1) 1-1 e; - 'ï:j 1-1 ~ 'ï:jCf) _ _ o..'ï:j Cf)" ..••••.•• "'..J ~ 0.. 3' 3'-" .~ ~ ~ Cf) :4 1-1C (1) _ M iD -' ..J 8 () (1) - •....•. '. - ""l •....••(1),

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Page 84: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 85: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 86: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

~, 0.. ~ 'ï:l '""= (1) V:J '-o. 0.. ~ >a (1), ~ 0 0 >< 0 ~ (1) (1)- '"'io~ ~.~~ ~_ - ~a~MV:JV:J~ - - ~~ v ~ =:. "-' q l """ Er (1) M ::+; 8 M '--< """ - r;'V:J e; ~ -< t:d (1) ~ QC) (1) ~ - ~. V:J ~ QC) QC) -••••• •••• V:J (1)' ~ V:J • ~ ••••. u 0 0 ., ~0.. V:J ••••• ~ (1) ~, a ~ 0.. _. (1), ~ 8 :=: "g ~ ~ -(1), _ 0 ç: 'ï:l 0 J-l. (1) a V:J..... ••••. M J-l. J-l. """~(1) ~ ~ '""= • ~~. o (1) a (1) •• ' QC)~ V:J 0.. 8 (1), ~ 8 J-l. ~ (1), (1) ~ ~ ~. ~ QI'(1) a ~~r6 i4.0" • e;V:J

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'ï:l ~ 'ï:l 0.. 'ï:l a n =o ~ ~ CJ- 0 0 0 a~~ _ ><~_ ~_ 0 ~~~~ a~ ç:- ~~(1)_ -~. \ J. """ ..0 _ l •••••. """ ~' +>- VJ N""" ~. v q l. q V:J ~ l ~ """

..0(1) QC) ~(1)~ ~QC) ~~~~ o~ (1)(1) (1)~M~ ~ç: • (1)V:J =. ~ ~~ V:JV:J -<M~a •(1) ~ ~ :=:..,.; a ~""" ;-' ;-';-' V:J V:J ~, a (1) ~ (1), ~. ~V:J~ ~ (1)"..0 ~N 0 VJVJVJ ,_ 0 ~~(1)0 J-l.V:J M • V:J (1), 8 l:!l: • 'ï:l UI UI UI ~ (1) '""= 8 ft ~ = ~ •o (1) 1 :::.:<e.cr' ~ 1 ~ a V:J e; 8 ~ ~~ ~ > '-< ~ S' a ~ g 0 0 0 o· § a ~. 8: (1) 8 (1) §" 1

'""= 'ï:l = ~ ~ ~ a 0.. + + + + f!;. CJ ~ ~ ~ 8(1)'ï:l -< ~ "Cl ~~ ~ ::t _ "i::j ln' •• ~ _ •....••....••....••....• 0.. V:J (1) el. rot ~ ~ Ca ~ ~ _. ~ O' ~ . (1) ~ ~ ~ ~ (1), _ ••.•••V:J cr' (1) (1). == '"'i •••••.~~ ~ ~~~ = V:J UIUIUIUI ~(1) ~o ~ç:~ ~a~§ a "Cl e; V:J ~ -< ..d..d ,0,0 ~ V:J ?" ~ ~ M •• ~ ê. 2. C ~ ln' 0.. ~ ~ <:; <:; t:d t:d V:J 'ï:l ~ V:J (1) V:J ~ == ><0....... ~ 8 - C (1) + 0 - •., r-. ,..., (1) ~ ~

(1) (1) ~ V:J ~ = ~ + ~ ~ l~ - U == ~V:J ~ ~ (1) ,E' a ~ ~ •..... M V:J N ~- 0 'ï:l 0.. ~ Ca _ = ~~. •• V:J ~ ~ • • • a 8 ~ (1) ~ =::>' (1) ~ (1), ~ 0 ••••••••. VJ a ~ M - (1), V:J ~ ~~ V:J >-fol (1) ~ ~ ~ 0 ~ •..•. u V:J ~ ••~ •• (1), V:J V:J ~ 0.. ~ ~ &r 0 ::1. (1) 'ï:l Q.. ç;;'

~ 'ï:l ~ •.•.... = _. 0 ~ ~ 8 ~ 0 ~(1) 0 ~ .....-~, "",..0 r-; ~ (1), V:J ~. M ~ ~ ~V:J M • _ •••.• ~ "-' ~ M '.' (1) ,. =0.. (1) ~ ao ~ (1), t:d M e; V:J0 (1) ~ !:: tl. ~(1) ~ (1), ::r, (1) V:J.... 0.... •••

ç: ~ ~ ~ V:J ~ M ~ ..0 >< ~ ~'ï:l >< 0;' f!;. '"'i ~, - 0.. M ç: t:: V:J '"'i A.(1) ~ 0.. C1Q _ (1) (1), a M (1) 0 C1Q ••••gs Cl: ~ (1), ~ ~- V:J ::tl (1) ~ t:: ~ C~O (1)~ ~ ~ ~- •••• -8 ==~ V:J V:J ~ ....~. ..0 ••••• - 0.. 0 Q.. r.Il(1) V:J • -= a ç: ~, (1) ç: ~ ••••. - ••••.ç:~ ::-JV:J _ ~ _V:J (1)V:JV:J ~-~ Ë "i::j 0 ~ (1) q ~-0.. 0....0 ~, ~ ~~ ~ ;:t> ~ ~'> (1) i4. (1), _- t:: •.•• - r.Il(1) ••••• ,....,., •••• (1) •••• C0.. V:J 0 a - VJ a a ••••• ~ ~ •••• ~'ç: a ~ ~ ~ ;.... 0 (D 8. 0.. a . (1) S" Q..-< ~ ::-J (D 16 w 8 t:O ~ _. ~ a ::ta ~(1) a V:J ~. cr' ~ 0 C~ ç: tJ:j ~ ~ ••••• ?O 'ï:l 0 'ï:l 8 == ~. _ 0.. == ~ NO V:J O'ï:l ~::r

(1), (1 0 ~ ~. • ~ _. M ~ ~ ~(1) ~ ~ tj;. •....•~ ~. (1) (1) '" .::!V:J N ~ = .,....,., ~ V:J ••• ••.••

'" (1), ••• 0 •....•- .... •.... = ~(1) "-(1) '. ~ • (1) 0.. •..•-0 ~~ 00 V:J V:J V:J (1) >< ~

Page 87: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

0, !::l ::r' '-'. 0.. 1-+) '0 0, - 0.. --=(JqP 1:>'00 1:>'_.... 0 0,1:>'

N e. 8.. en c= g g ~ t"" g § ~ t"" c= ~ t"" > 5' d. t""_ _ _ o::+; •.••-: QC 0.. 0'. c 1:>' r.n a ~ 1:>' QC C 1:>' ""l ••••• g. ~ccc 1:>" •.••• - • C 0 r.n _ c::r' _ • 0 _:t. 0'. 0

_ 0 r.n r.n r.n '0::l ~ ::l 0 '0 0 0 ~ C 0 ~ 0 a1:>'-c, ....· ..... ..... .'"i - • V> 0.. ::l 0, "i !::l::l • "i::l - ::l te 0____ 0 N OI:>'C_ "iV>P_ ••••• ,-_ ~ !::lCao 0 0 1:>':><. C < v,", •.••• a C v,", ••.••• v,", ,,0 0\ Pq 0 '0 '0 '0 _ r;;' 1 If 0 ~ fS go:=;:' fS 1, g' C c= C_;..... sr.o V> 0 0 0 0.... ("':l V> a - C "i::l -5' -s:: ~ 0 g QC o'::lV> 0::;; ct ct ::l 0 SI' 0l:>' •...."i 0 V> _"i -< -o"i ~ ::l!'V1:>':>< ,. (Jq!"ll •....• •.••• _ 0.. 0, 0 _SI' ••.•.• N •....8. q ê ê ê C ê 1:>'>-t> C_..... C a V> ....._0..0.. 1 VJ. ~

<0, (1) a l:l- cocg'gog' = 00 OO'O::l1:>'S ~ ~ ~ C C = V> 5. ::l'(1) 'E...... V> 0 a V>::!l ~ . 0 V>::l •.••.•..• •..••..• "i::l"'O 0 1:>'"i ,_ 1:>'tii' •..• _ S· 'O. 1:>' 0 !'V c 0.....• ct, 0 ~ ~ 0.. 0.. s.. S 0'. ~ 0 g 0 a 0 = (j), S Z :-":.. 1:>'-C V> g 0'. g' 0 r;;' ~ SOI '-o..::r'c g ~ g CJ'"~ :-" 0 g.::l '0 1:>' a 0 ::!l '0 SI' o::l 0.. Cil Cilp C g. V> 0..... V> •.••.o 0 V> C '" 1:>'0 = .... 0 Cil Vl :-t 0..'0 ::l '" !::l '-< - 0c.... - -'!::l l , (l) •..• - ,. P - '-' ::l0.. < a 0, c P g? ~. s-c ~'O .. 0, '0 SI' •.•• 0 ~ 0 V>.....' CJ'"•..• 0 •.•• •...•0 V> 0 0 o..::l '---< C"igl:>' ê::l 0::;'; _ 'Oo..l:>'g 1:>' •..• 0' 0 •..• _ r:tl:>"o •..• c :>< 0 !::l ~'O 0 C 1:>',-" 0 0 = _ - ,... 0 a~ V> :>< 0 P 0.. •• •..• - ~c 0 a 1:>' IJQ 0""" ~ r.n 0•.••.0 0.. 0..:>< g 0 g 1:>'0' :>< ::l "i C = C 0 ~ ~::l8 .....0 g'~ r a C ~ 0 0.. g. 0 1:>' ~ ~ ~ ,() g?•...•_ C ......' 0 . - - •.••.1-+) '0 = _ ~ tl:I 0..

0, :>< '" t:l a ::::!l a 8 COI:>' '0 ""l ••••• 0, _. 0,'0 'E. 0 o~. 0 r.n 0 C ::l ::l a 1:>' - e;. < 1..' ~ a~~:>< ~ 0, S:r:t ;!3<::r' 1:>'~:4 s: ôe.> I:>'"i'0 ".... "i 0 ,. C •.•. 0 1:>' < 0 ""l c!;;;ill ::l V>o~a, g' •..• -a 'O"i- ov>::l ~ ~o,~ •..• 0::l _ t:l POO 0'. ~' •..•1 - a C §.. 0 c= a ::l0.. - ~ .....::l ::l 0 •..•.0 ::l '0 •..• 0 0 ~ 0 •..•.....c ...•· ct, a (Jq es 0 V> 0 p;;" 0' ::::::l::l!;;;ill '0 aa ::l 0, V> 1:>' cc.... ~. 1:>" 0 ~ 0 0C 0 V> ~. V> 0 r.n "i a a >-t> 0 a 1-+) _ ::l ~_ '0 0.. r:t C s::: 0 0 0 0 s:::s::: 0'. 0 I..~J 0.. 0I:>'~I:>' o,"iv> o..SS ::l"i::l <::l Z I:>'v>::i' '-l ~ 1:>" ~ g s::: '0 'g ê" ~ CJ'" ~ g. ~ a 0..o' ~ _ --= 0 ~ '0 ct, :4 0'. 0.. ê: . o' - §

,~''O0 ê ~o: p;;"ol:>' oos ::l I:>'::l_'0 a ...• _ ::l o..::l ::l 0 0.. S 0,1:>'-S1 e; a "g 0 a 0 1 •••• 1:>"g. ::l 0 0> ~:>< ••.•. t;;' 0.. ::r' _1 1:>' _ s::: •..• _ so 1:>" 0 0 ~ 1:>"7 1:>':><1:>" 1:>' o~,

1:>"0 '0 S 0' a CJ'" '0 (b --= --='-'. ~ 1:>'0> •..• 0 0, 1:>' ,,0 1:>'C •C _ _ :4!::l 1 1 0 .....::l •..•'"i - - s::::><::l - ~v>1:>'_ e P V> ~ OQ•..• os:::- - 0000

0'. ~ QC 0.. g 0 ~ 0 -...l fS S'::l ::l QC QC - - '0 N" ~g:Ei~ § 'O~::;.' ::;.' b Eis:::e;v>~ ~ §§~ '00'"i 0, ~ V> I:>'~' 0 V> ;:;" !::l '< ~ ~ OQ 0 --= g? 0::la 'O. •..• :4 0.. e; ::l •..•. ,...\:;""'0, P ~ • • 0' ::;.'~ s:::' f!;. 1:>' - Ei OQ1:>''" N 0 ~. 0 V> a - 0 0' 0' ••••• 1 := C '0 _ Co •.••·V>-. C Co 1:>' 0 v>o..!::l. ....o..,oao •..• - •..•'0 "i 1 V> "i!::l ~ '0 •..• 0 0 P 1 ("':l e: .....0 0 _ a '00 ] s:::

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C V> 0.. ,. •.•. •..• :::..•.•. V> SI'> CJ'" "i:><.... 1:>' •..•"il:>' a I:>'v>::l 1:>" 0:><~<CJ'" :t.octOr:to :4 ['0~ g 1:>' ~ '0 S V> 1:>"0 "i 0 ~ a S 1:>'V> 0, ::l •.••.•.•.. ;a~ @ ,:" 0 1:>' 0 ..•..• (j)' :4 Ej' ~ 0 s:::5. S a g 0 0_ V> (b C V> r.n ••••• p = ::l 0 < •.••.e; _ - 1:>'o~ CJ'" r:t f!;. ~ g. 0.. go..... !""".... 1:>'ct, r:t 0, 0 s:::j; 1:>'> ~ ~ 1-+).... 0 C a ~ g? . a V> 0, I:>',::!l 0.,. 0'. ::l 0.. a, (D"i :><V> e-e V> 1:>' cl:>' •..•~S V>~ 0 S s:::~-~ &§OC::l Sv>S 0 a 8'::;.' "i ;;;. ~ 0, 0 0 a :>< 0 g" :='"~::l 0'E.::l ~ V> •..• o.... 0..0..00.. 0!::lS:::o F,;j ~ 1:>' 0.. V> 0 ~ a ~ 1:>'•.••.!::l ~ ~ ~ g'

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!::l ::l ::l 0 0 0 _ •..•.- 0 aOp.... V> ~ c, V> ::l .'-' "i 1:>'a •....og 0.._ __oct, gogl:>' "g~ •..• 0 1:>' 1:>'1:>'::l V> "i 1:>""i V> -

Page 88: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

"'0 OCI"'"'1 - t:d1 1 _ "'"'1 ~ ~ •

Q 1 1 r6 0= (') > trJ Z ~ r-' § o, 'ê '"C ?Cl r-' 0= >-< -< o ""l e. :>< ::: ('Il, ('Il- 0.. 8" ~ l:; !V ('Il CIO ""l('Il en 0- _,." (')('Il "'0 :=: OCI>-t> ('Il,..., __ rfJ •••••rfJ •.••.'" ~ rfJ "'"'1 3 ~ ""'i •••••••• _. ~ .,. _.

- Il Il 0 ~ - - ('Il - 0 0..œ (D"_. "'0 .!l.~ ::i_ ~._ ~ Il ~,:4 ~o..'~ 0 :-' ~::i _ _ "'"'1 ~ ~ _. _ ('Il 0.. (D" 0=c: ~~. ~'rfJ rfJ 0 Q ~::i ~rfJ ~ e; ~ 1o _VI _('Il ('Il::i <0 ~"'O rfJ ~ :,;""lt:;1 CIO~ VI (D~ ~ e- _ e.8"'"'1 :><08:"" :>< ::6~'~, :..~ •••.•~ •••.• a t- lJoJ f"""t (D _.._. ~ 0 o::i 0 "'"'1 g ~ < ('Il ::g rfJ "'"'1 = [IJ ~ 1

8. ::i ::i ::i tr: 'i.e;::+> "'"'1 - e. ê ~ o ~ q S" ~ ~('Il (')"'"'1 -" ~ ('Il"""OCIO •....• ~,= •. .-1::i o . œ-, o..,g -< IV ê OCI ~ '" ('Il ::i ::; ~ •••. es '-<- ::i e- ~- ~ 0- 00 _. U;' ;il "'0 rfJ 0.. ~ :,; Q.. M 00>-1) O, - (') ('Il + < rfJ ~ ~ _. ::i •• ;:;. ""3o 8 ::;.' _. - ~ ~ - _. 0.. O. - ~ _. 1-01

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'"9 ~'i55 ('Il ::;.' ~,('Ill:; œ-, ""l ••- ••.•.::i ,..., (') _ Ho, ~ ~('Il 1-1 _........ ('Il> _ e-t- _. ::;. [IJ _..:-v <~ ~ _ ~ _. (')' •••••• [IJ. ?-' ::i" o..::i "'"'1 0 ~ _. _.

~ ~~('Il rfJ ('Il "'Ot:;!- rJ) 0.... - _. =('Ill"rfJ _ ~ ~o..('Il œ~•. ~ ('Il ~ rfJ ('Il ~"'"'I ::i

(') ~ ...., ::1 0......... ('Il "'0 - 0.. - "'"'1 -

o ::i el. OCI'U;' ~ ~ "'"'1 ~ ('Il ('Il ~ ('IltJ 8 tJ ~ tJ g: s; "'0 O, r-' 0.. g 8 ~ rfJ r- 'E.. a ~ r-' Q. Q ..0~ "El ~ ~ ~ ('Il::;" ~ ::n 0 ('Il 0.. J:: o g. ~ ~::i "'0 ('Il~ E.::i _.::i .::i • ('Il, ('Il, (');;l _ - ('Il' 0 ~ ::i 0.. "'0 ~ Il 11_rJ) rfJ rJ) rfJ ('Il ~ • ~ ~::i "'"'1 < 0.. ('Il 0 w' .~

;- g (D (D ê' rfJ O'"ê ~ 8 ~:5. ~ e. ~ OCI :4 ~ 9 - grJ) - rfJ rfJ "'0 0.. ::i ('Il ::i ('Il rfJ ('Il '"""'::j' 0.. ::i 0\ 0..

~ __ o('llrJ)_ êcr"'O::i ('Ile; ~~('Il- 0 + _~ v v _ ...., - ., ~ - rfJ 8 e-e-~ 0 g g ('Il ~ 'E.. ~ ~ el. :4 0.. - u: 0- O· rfJ ?-' ,,-... 0 ~- 'i.e ('Il ('Il ~ «(') ~ ~ ('Il::i _. - ~ 0.. ('Il::i ~ ~ 0~ ~ . ~ ~ 0 rfJ::i ~ (D"('Il,g "'0 ('Il 8 _. - 0.. . IVI N -erJ) ~ ~ ~ go ::i "'0 o 0......, 0.. 'E.. '& Q ('Il 0.. § ~- ?-' 0 ,.--,~ ~"'0 _ ::l ~, "'"'1 ('Il ('Il.!:? ('Il -'..0 ::i (l) OCI ::i W ~o ..•.....~ 2 rfJ~~'8 _~rfJ'"9' ~rfJ :,,_~('Il "t::(VlI~ ;il(D" ~ o "'"'1 - ~ _. ('Il ;.... ~ (') (D ('Il, 0 ~ ('Il "'0 w~ 0 ~ ~ ('IlOCI r6::l 0 _::r"'"'l ('Il::i rJ) e; (;i; VI"•.• ::l'" ,., rJ) 8 tr: - '-' _. ~ ~ - ('Il '-'>< ::i Y' ('Il ~ ('Il • ('Ila'a~ <:~, (')o..~ IV..e; ~ _. ::l g ('Il>rfJ t= ('Il~' ~ 0.. O, ('Il ,...,"'"'1 v _ - rJ) _ _ - 0.. rJ) '.. ::l _. 0 "('Il "'0 ~"rfJ 0 ('Il "'"'1 rfJ ('Il "'"'1 •••• <: ::l::::!:l 0~ ~::j' ~- ~, "'"'1 ('Il ~ ...., g (l), \0 U;' 0.. ~ 8 "'0

~ ..0 ('Il OCI rfJ (D (t "'0 (') r-t- 0.. 0 ('Il "'"'1 8 "'0 "'0 0::l ~ rfJ _. 0 _ ('Il, IV ~ ••••.•• "'"'1 0 0- "'"'1 0 •.•

OCI ('Il - "'0 •....•"'"'1 00 ~ (') 0 _. ('Il _. ~ -~ - 0.. 0.. ::l _ ~ _. ('Il "'0 O, ~ "'0 (t 8 8 "'"'1 "'"'1

_~Q ('Il 8~(')('Il -"'00 "'"'Il:; ('Il, VI ?-'~ ""l:=;' rfJ 0 rJ) 0 ~ ~.~ ::l:" e- ~ ('Il 0_. ('Il, ('Il 8 "'"'1 '" ..0 - _ •....•~~(D ~ 8::g_~' (')~8 _ o--~ /\ 1/\rfJ ('Il _. ('Il _. ~ 0 ~, 8 0 ('Il, ,..\:;""' ?-' VI

~ "'"'1 ('Il ::i(')('IlW ('Ilw _ rJ) 0_. 0.. ~ "'"'1 - ~ Vl >-t> "'0 rfJ 0 0.. ('Il- ('Il "'0 rfJ 0.. (') ..0 ~ ::n ~ 1-1 - • ::i ('Il, (') 1/\

rfJ"'O,..., -('Il- (') ..•.•('Il, ....,-rJ) _ 0 •....•.• _. 8 - _. _. ~ 8 "'0 rfJ _. -o' . ,- v _. ::l (Il - ('Il - ('Il::l .....•

.~ 0:4..;!; ('Il ('Il ::l ~ ('Il ~ ~ -'::l 0OCI - v :4::i0..::i -::l rfJ _('Il:=.' ~ 0.. ~ _. - ~ ('Il 0.. N S 0.. (') ('Il 80.. ~ ~ ('Il, ('Il "'0 "'0 (Il 00 - . ('Il ~::l ::i('Il :>< rfJ ,('Il 0 ~ ('Il "'"'1 ••••••• ~ _ 0 •....•rfJ

(') ,..., rJ)rfJ"'"'I •.• ('Il,O '" -VoJ-rfJ (')0> •....•.• -rfJ8- o..~- •.• - ~~~& § ;-~~r ~;il~ 8 ~?Cl~~. ('Il, rfJ rfJ "'0 - ~ rfJ ~ rfJ 0 0.. w ('Il('Il rfJ _ _ ('Il "'"'1 ~ _. ,.--, ..0 _. ~"'"'1 • ~ ('Il . ~ ...- ('Il ::i 0 0 ~ O, ::l ~ ~rfJ _ rJ) rfJ~rfJrfJ ::l::l('ll ('Il, rfJ~""

Page 89: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 92: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Page 93: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

n'::s"'''O m::s 0..0.."'" ..0 ""'0..'"Cl o..~~ (1)>-j 0 •.....•c •..•• ~- (1) 0 c 0 (1) 0 (1),'"Cl 0.. >< 1 18. ::1. c m -< ~ ::s m ::s •.•.... •••••• (1)::S m f!1. ~ 0 0 n """1 0: 'b.. 0.. C < cm N ~. ~ g v o '"Cl ê" or -- o ê" (1) o. >-j ~ '"g g •.....• ~ (1)::S (1)::S§O(1)'"ClC§ ~o~E ~ (1)~~oS>-j(1)-no ~ ~ mn g(1)- ::s C O. tr: (JQ ••••• 0 '" ~ 0.. 0 (1) ::s •..•. (1) @, ~;; '"Cl 0 ~"" - >-j - m (1) ::s _ '--'. • (1)::S [;j ::s m 0.. (1)::S • - •.....•- ",""'0-~ vC •.....• -;-00 N>-j 0..(1) (1) -< ~ l'tl ~ ••.••.•...••.....•~ m ~ '"Cl (1) 0.. m '::S ..0 0.. (1) ~ 0.. m :" (i)" ::s 'E.. S. ri~ ~ Ho, m (1), n ~ 0.. 0 ~ 1 (i)' C (1) •.....•0.. (1) 0.. tI ::s 1 0: m (1) '"Cl (1)

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Page 94: Règles de conception et de calcul des structures en béton armé C[1].B.A.93

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Pholooomposilion el ImpressionIUPRlÛERIE SARm

3. rue Mohamed SMOOUN· El-lllAR (Alger)(Année 1994)