Cours de Beton Arme-suivant Les Regles b

7/23/2019 Cours de Beton Arme-suivant Les Regles b

1/160

!"#$% '( )*+",

-$.(/%012345 678$9:678 )-(; ?@1A1B351?48


2/160

3'9%*(2(-)*#########################################################################################################%!

CI / !D-EC+$( CI / J;(HC", %C.E;( / F(,($-;C+(% ((

0: @67?26::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::((

Q: 7BO@6@6S )0//43 P:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::(("# ;'4-*-(-)* /% 52 45%6-)* 9-.?5% 7###############################################################################((

2: =T/>;;?641 0 3A43? IL 0 3A431 P:::::::::::::::::::::::::::::::::::::::::::($

7: )4;0)R?41 2>624)606< 341 =T/>


3/160


4/160


5/160

0: 74O@6@6 74 30 2>;/)411@>6 24633@2@;/)@;441 P:::::::::::::::::::::::::::::::::::::::::::::::#$$"# $% ?='*).B*% /0 452.1%.%*( 7#############################################################################$$

7: 9?1


6/160

+ -!D-EC+$( = /

C,+$"'#!+C", /F*,*$-;C+*% C

7BO@6@61 P \

=@1)@R?4 P \

/)@62@/4 7? QB6 0);4 P ]

)B534;46


7/160

2=0/@2>741 ,-$L I$ aeF,I JI J*KFNNFdI I$ 4"N-aI:

!P E$C,!CE( '# )*+", -$.( O

=P J?4B51?447>745 @0 RQ5?4 3S>Q 74 A67T1?4 O

/N*,I$LFL#-$ JI HAI,,F# P

]


8/160


9/160

2=0/@3%.-B3% ?)0(3% 7 1'()* *)* 23.' 7


10/160


11/160

2=0/@)0(3% 23.'% 5)*N-(0/-*25%.%*( %( (32*9O%3925%.%*(

F.2N%[SA*(=B9%


12/160

2=0/@


13/160

2=0/@$ _eIN_eI F"!-"NJAe"#S b aNI$JNI I$ _-KaLI L-", HI, cF_LI"N, JA#$,*_"N#L*,*aFN*KI$L P

! HF N*,#,LF$_I #$LN#$,M`"I JI, KFL*N#F"kS

! HF +FHI"N HF aH", aN-GFGHI JI, _eFNdI, aINKF$I$LI, IL JI, _eFNdI,+FN#FGHI,S

! HAF,aI_L cF+-NFGHI -" J*cF+-NFGHI JI, F_L#-$,S

! HI, J*cF"L, d*-K*LN#`"I, JI, KFL*N#F"k IL JI HI"N a-,#L#-$! HF c#,,"NFL#-$:

6-", _FH_"H-$, KF#$LI$F$L HI, ,LN"_L"NI, I$ Q0 b HAF#JI JI, NMdHIKI$L, F"k *LFL,H#K#LI,:

FE 3F N*dHIKI$LFL#-$ F_L"IHHI P HI Q043 l^ P

@$LN-J"_L#-$3I, NMdHI, 22Q0 [] -$L *L* FGN-d*I, HI HIN !F$+#IN ^l]Z FaNM, "$I a*N#-JI JI_-Ik#,LI$_I F+I_ HI, NMdHI, Q043 ]' a"#, Q043 ]U:2I, NMdHI, Q043 ]U -$L N*+*H* _INLF#$I, #KaINcI_L#-$, `"# -$L $*_I,,#L* `"IH`"I,K-J#c#_FL#-$, `"# -$L _-$J"#L F" NMdHIKI$L F_L"IH HI Q043 l^:;78 US14B1U3678 >?@1A1B351?48 U3S S3UU?S5 30K )-(; VW 3UU3S3188745 @348 B7B?0S8 74 MM ?>RS7 NN/-"N eFNK-$#,IN L-", HI, NMdHIKI$L, I"N-a*I$, NIHFL#c, F"k J#cc*NI$L, KFL*N#F"k JI_-$,LN"_L#-$S HI NMdHIKI$L 4?)>2>74 I,L I$ _-"N, JAIka*N#KI$LFL#-$: 0 LINKIS HINMdHIKI$L 4?)>2>74 & q 2FH_"H JI, ,LN"_L"NI, I$ G*L-$ r NIKaHF_INF JF$, L-",HI, aFf, cNF$_-ae-$I, HI Q043:

7*c#$#L#-$ JI, *LFL, H#K#LI, P?$ *LFL H#K#LI I,L "$ *LFL a-"N HI`"IH "$I _-$J#L#-$ NI`"#,I JA"$I _-$,LN"_L#-$ I,L,LN#_LIKI$L ,FL#,cF#LI IL _I,,INF#L JI HAhLNI I$ _F, JI K-J#c#_FL#-$ J*cF+-NFGHI JA"$I,I"HI F_L#-$:

^X


14/160

2=0/@


15/160

2=0/@


16/160


17/160

2=0/@33@2@351Y07P ^: ;"N JI cFgFJI 8&: ;"N JI NIcI$J 8U:2eFNdI _-$_I$LN*I 8 X: 0_L#-$ J" +I$L 8Z: /IN,-$$I, 8[: ;I"GHI 8\: /-",,*I JI,LINNI, 8 ]: /HF$_eIN I$ Q:0 8 l: 2H-#,-$, 8^': $ _eIN_eI d*$*NFHIKI$L b _-$_I+-#N HI,_-$,LN"_L#-$, JI LIHHI ,-NLI `"AIHHI $I c#,,"NI aF,: >$ aN*+-#L F#$,# JI, !-#$L,S JI,aeF,I, JI _-"HFdI FHLIN$*I, -" JI, *H*KI$L, cNF_L#-$$*,:

)3878 @7 B36B06 @78 3B51?48 23S13R678 O

1fKG-HI d*$*NFH R

3I, _eFNdI, JAIkaH-#LFL#-$ P RQ I$ GjL#KI$LS RN a-"N HI, a-$L, PaFN HI a-#J, JI, "L#H#,FLI"N, IL JI, KFL*N#F"k $*_I,,F#NI, b HA"L#H#,FL#-$ JI, H-_F"k:4HHI, _-NNI,a-$JI$L b "$ K-JI $-NKFH JA"L#H#,FL#-$: 3F $-NKI 6O / '[ ''^ J*c#$#LHI, _eFNdI, ,"NcF_#`"I, b aN*+-#NS _IaI$JF$LS "$ KFmLNI JA-"+NFdI F L-"!-"N, HFa-,,#G#H#L* JI J*c#$#L JI, +FHI"N, F" K-#$, *dFHI,:3I, GjL#KI$L, JAeFG#LFL#-$ IL JAe*GINdIKI$L JI aH",#I"N, $#+IF"k aI"+I$L J-$$INH#I" b "$I J*dNI,,#-$ JI, _eFNdI, JAIkaH-#LFL#-$ H-N,`"I HA-__"aFL#-$ JI _I, $#+IF"k

aI"L hLNI _-$,#J*N* _-KKI #$J*aI$JF$LI: 4ccI_L#+IKI$LS #H I,L aFNL#_"H#MNIKI$LNFNI `"I L-", HI, $#+IF"k JA"$I _-$,LN"_L#-$ ,-#I$L _eFNd*, b HI"N +FHI"N KFk#KFHI

^]


18/160

2=0/@33@2@


19/160

2=0/@33@2@0S @7 8?05947>745P

3F a-",,*I R a-",,I +IN, "$ NI$+IN,IKI$L J" K"N IL Fd#L J-$_ JF$, "$ ,I$,J*cF+-NFGHI P IHHI #$LIN+#I$L I$ 5KFk: 3AF_L#-$ JI, LINNI, ) JINN#MNI HI +-#HI Fd#LJF$, HI ,I$, JI HF ,LFG#H#L* J-$_ cF+-NFGHI P IHHI #$LIN+#I$L J-$_ I$ 5K#$:RZ / !38 @K047 >3SBX7 74 B?48?67 O

&'

F.2N%^2L I 829 /P0* .03 /% 9)0(B*%.%*( 7


20/160

2=0/@33@2@3T ] F>14 ] ^L=L^L= _ =[\JF$, HI _F, d*$*NFH^L= _ =[W\ a-"N HF LIKa*NFL"NIS HI, _eFNdI, JAIkaH-#LFL#-$ *LN-#LIKI$LG-N$*I, -" JI _FNF_LMNI aFNL#_"H#IN D_-$+-#, K#H#LF#NI, -" Ik_IaL#-$$IH,E ILa-"N HI, GjL#KI$L, FdN#_-HI, FGN#LF$L JI, F$#KF"k IL JI, aN-J"#L, ,F$,aN*,I$_I e"KF#$I aINKF$I$LI:

! b HA431S $-", F+-$, HF _-KG#$F#,-$ P F>3T]F>14]L=

4H*KI$L, _-"NF$L, JI, ,LN"_L"NI, I$ Q:0: "$#`"IKI$L ,-"K#, F"kF_L#-$, JI, _eFNdI, aINKF$I$LI, 5 IL JI, _eFNdI, JAIkaH-#LFL#-$ RQDb HAIk_H",#-$ JI L-"LI F_L#-$ _H#KFL#`"IE

FEE?05S78 80S @70T 3UU018 US?6?4:Q7 U3S 04 U?S57/`/A30T OG(2(9 5-.-(%9 05(-.%9 CG$KL 7

&^

F.2N%"_829 /P0*% .23,=% %* ,)*9)5% 7


21/160

2=0/@33@2@


22/160

2=0/@33@2@


23/160

+++ -!D-EC+$( CCC /

!-$-!+G$(% '(%.-+($C-#H CCC

34 QB6 P &Z

341 02@4)1 P &\

-P ;( )*+", O

=P ESQ8745351?4 @0 >35QS130 O

3I G*L-$ efJNF"H#`"I I,L "$ K*HF$dI -aL#KFH JI P

! H#F$L D_#KI$L, FNL#c#_#IH,E

! dNF$"HFL, $FL"NIH, -" FNL#c#_#IH, D,FGHI,S dNF+#HH-$,S dNF+#IN,S : ::E

! IF" JAefJNFLFL#-$ J" H#F$L IL JI K-"#HHFdI JI, dNF$"HFL,

! *+I$L"IHHIKI$L JI, FJ!"+F$L, DI$LNFm$I"N JAF#NS aHF,L#c#F$LS efJN-c"dIS: : :E:

1F aN#,I IL ,-$ J"N_#,,IKI$L ,AIccI_L"I$L JF$, HAF#N -" JF$, HAIF": 1I, aN#$_#aFHI,_FNF_L*N#,L#`"I, ,-$L P

! "$I G-$$I N*,#,LF$_I I$ _-KaNI,,#-$ ,#KaHI

! "$I KF"+F#,I N*,#,LF$_I I$ LNF_L#-$! "$ a-#J, +-H"K#`"I _-KaN#, I$LNI && IL &X v6tKUI$+#N-$ IL &Z v6tKUa-"N

HI G*L-$ FNK*:

! "$ _-Icc#_#I$L JI J#HFLFL#-$ LeINK#`"I #JI$L#`"I b _IH"# JI HAF_#IN JI ^'(Zt.2:3I 7


24/160

2=0/@


25/160

2=0/@


26/160

2=0/@$ _-$,#JMNI a-"N HAF_#IN "$ a-#J, +-H"K#`"I JI \]SZ v6tKU

3I, N-$J, H#,,I, D}E P

2I ,-$L JI, F_#IN, J-"kS HFK#$*, b _eF"J IL JI ,"NcF_I H#,,IS $I aN*,I$LF$L F"_"$IF,a*N#L*: 3I, $"F$_I, "L#H#,*I, ,-$L HI, OI4&^Z IL OI4&UZ:

3I, FNKFL"NI, b eF"LI, FJe*NI$_I, D=0E4HHI, ,-$L -GLI$"I, aFN HFK#$FdI b _eF"J JA"$ F_#IN $FL"NIHHIKI$L J"N: 2I,FNKFL"NI, -$L HI"N ,"NcF_I KFN`"*I aFN JI, _N*$IH"NI, JI c-NKI, J#+IN,I, JI cFg-$b F,,"NIN "$I KI#HHI"NI FJe*NI$_I F+I_ HI G*L-$: 2I, F_#IN, Ik#,LI$L JF$, HI,$"F$_I, OI4X'' IL OI4Z'':

3I, LNI#HH#, ,-"J*, D$ J#,L#$d"I HI, LNI#HH#, ,-"J*, b c#H,LN*c#H*, J#L,


27/160

2=0/@


28/160

2=0/@


29/160

2=0/@


30/160

2=0/@


31/160

+. -!D-EC+$( CI /

J;(HC", %C.E;( /F(,($-;C+(% CI

@67?26 UU

7BO@6@6S )0//43 P UU

=T/>;;?641 0 3A43? IL 0 3A431 P UX

)4;0)R?41 2>624)606< 341 =T/>


32/160

2=0/@61@;/34 ( 5464)03@


33/160

2=0/@61@;/34 ( 5464)03@


34/160

2=0/@61@;/34 ( 5464)03@


35/160

2=0/@61@;/34 ( 5464)03@


36/160

. -!D-EC+$( I / (+-+

;C.C+( #;+C.( (,J;(HC", %C.E;( I

=T/>


37/160

2=0/@5'5.%2

,4##(#)


38/160

2=0/@


39/160

2=0/@.50' C D7#/#'0 )"/$ .0$"2#03"''0"

C# #(%)&)#%/#%%.# *

(P $GF;( '(% W ECI"+% O

2ILLI NMdHI ,I c#kI a-"N -G!I_L#c JA"L#H#,IN F" K#I"k HI, KFL*N#F"k F_#IN(G*L-$ JA"$Ia-"LNI Q0 cH*_e#I:4$ c-$_L#-$ JI, ,-HH#_#LFL#-$, $-NKFHI,S HF N"aL"NI JA"$I ,I_L#-$ I$ Q0 aI"L#$LIN+I$#N P

! aFN *_NF,IKI$L J" G*L-$ _-KaN#K*! aFN *a"#,IKI$L JI HF N*,#,LF$_I JI HAFNKFL"NI LI$J"I:

=P '13:S3>>7 @78 @QA?S>351?48 61>1578 O

3I, a-,#L#-$, H#K#LI, `"I aI"L aNI$JNI HI J#FdNFKKI JI, J*c-NKFL#-$, ,-$LJ*LINK#$*I, b aFNL#N JI, J*c-NKFL#-$, H#K#LI, J" G*L-$ IL JI HAF_#IN: 6-", NFaaIH-$,

`"I _I, J*c-NKFL#-$, H#K#LI, ,-$L P

X&

F.2N%W[/-2N32..% 3%,(2*N052-3%


40/160

2=0/@


41/160

2=0/@


42/160

2=0/@


43/160

2=0/@


44/160

2=0/@351Y07

$/ .#0.#D 2 0 ,%2,#2 30 2% $0,-/"' 0' %.1%-#.0$ $/1


45/160

2=0/@3 @7 B36B06 O

3F ,I_L#-$ N*IHHI I,L _-$,#J*N*I _-KKI *`"#+FHI$LI b HF ,-KKI JI JI"k ,I_L#-$,c#_L#+I,:0#$,#S a-"N *`"#H#GNIN HI K-KI$L "HL#KIS $-", FHH-$, _-$,#J*NIN HF ,I_L#-$ $*_I,,F#NIa-"N *`"#H#GNIN ;N"G IL H"# F!-"LIN HF ,I_L#-$ JAF_#IN _-KaH*KI$LF#NI _FaFGHIJA*`"#H#GNIN HI K-KI$L ;NI,:

1I_L#-$ c#_L#+I 0,L^P/-"N *`"#H#GNIN HI K-KI$L ;N"GS #H cF"L "$I ,I_L#-$ JAF_#IN 0,L^:3I GNF, JI HI+#IN J" _-"aHI #$LIN$I I,L Po^ w J DH('SX |^E3F _-$LNF#$LI JF$, HI, F_#IN, LI$J", I,L P ,Lw cItf,

X]

F.2N%XW;-2N32..% /% /'4)3.2(-)*

F.2N%XXS,='.2 /% ,25,05


46/160

2=0/@


47/160

2=0/@


48/160

.+-!D-EC+$( IC /

(+-+ ;C.C+( '(%($IC!( (,J;(HC", %C.E;(

IC=T/>


49/160

2=0/@


50/160

2=0/@


51/160

2=0/@


52/160

2=0/@


53/160

2=0/@


54/160

2=0/@


55/160

2=0/@


56/160

.++-!D-EC+$( ICC /

(+-+ ;C.C+( IC%/-/IC% '( ;K(JJ"$++$-,!D-,+

ICC1>33@2@6)Q78 O

3I, !-$_L#-$, JI GFNNI, ,",_IaL#GHI, JAhLNI _-KaN#K*I, ,-$L -GH#dFL-#NIKI$LNI_L#H#d$I,: 1# HF GFNNI I,L L-"!-"N, _-KaN#K*IS ,# IHHI $I cF#L aF, aFNL#I JA"$ aF`"ILJI U GFNNI, IL ,# HI, I$LNI(FkI, JI, GFNNI, I$ !-$_L#-$ ,-$L F" aH", *dF"k b Z c-#,HI"N J#FKMLNIS $-", a-"NN-$, _-$,#J*NIN `"I P HN w 'S[ H,

\X

F.2N%Z^S-.?5% 3%,)0O3%.%*( /%9 %6(3'.-('9 /% 1233%9 7

F.2N%[_$%9 W 1233%9


72/160

+/ -!D-EC+$( CH /

E"#+$(%C%"%+-+CL#(% CH

/)47@;461@>664;46< \l

9?1?67@6 74 6>6 O)05@3@#2%/.0$ $"#1/$0$? 2% )20A/"' $/1


73/160

2=0/@?10#. 0$- $"#&0'-35-0.1/'50


74/160

2=0/@?1


75/160

2=0/@?1Q O

E?05S7 S7U?8345 80S @78 3UU3S7168 @K3UU01 O

E?05S7 S7U?8345 80S 04 3UU01 74 >3g?447S17 O

\]

F.2N%[Z>)0(3%9 9)5-/2-3%9 /0 ?)(%20 )0 /0 .03 %* 1'()* 23.' 7

F.2N%[[>)0(3% 3%?)92*( 903 /%9 2??23%-59 /P2??0- 7


76/160

2=0/@?1


77/160

2=0/@?1


78/160

2=0/@?1


79/160

2=0/@?1/2/-5)


80/160

2=0/@?1


81/160

2=0/@?1


82/160

2=0/@?1


83/160

/ -!D-EC+$( H /

E"#+$(% (, MM +(NN H

@67?26 P l^

30)54?) 74 30 61@7B)4) P l&

2032?3 741 02@4)1 0 3A43? lU

C4)@O@206 741 2>6664;46< 7A?64 />?


84/160

2=0/@?


85/160

2=0/@?


86/160

2=0/@?


87/160

2=0/@?)0(3% c 9-.?5% 23.2(03% 7


88/160

2=0/@?


89/160

2=0/@?


90/160

2=0/@?


91/160

2=0/@?


92/160

2=0/@?


93/160

2=0/@?


94/160

/+-!D-EC+$( HC /

E;-,!D($% (+E"#+$(% HC

341 /3062=4)1 P ^'U

/>?6< P ^^Z

-P ;(% E;-,!D($% O

=P 'QA14151?4 O

?$ aHF$_eIN I,L "$I F#NI d*$*NFHIKI$L aHF$IS JI,L#$*I b H#K#LIN HI, *LFdI, IL b,"aa-NLIN HI, NI+hLIKI$L, JI ,-H,: 2I, JI"k aN#$_#aFHI, c-$_L#-$, ,-$L P

! "$I c-$_L#-$ JI N*,#,LF$_I K*_F$#`"IS #H J-#L ,"aa-NLIN ,-$ a-#J, aN-aNI ILHI, ,"N_eFNdI,:

! "$I c-$_L#-$ JA#,-HFL#-$ F_-",L#`"I IL LeINK# "I `"# aI"L hLNI F,,"N*I_-KaH*KI$LF#NIKI$L aFN "$ cF"k aHFc-$J -" "$ NI+hLIKI$L JI ,-HFaaN-aN#*:

FE 7#cc*NI$L, LfaI, P

3I, aHF$_eIN, NI$_-$LN*, JF$, HI, GjL#KI$L, JI JI,L#$FL#-$, J#+IN,I, -" JF$, HI,_-$,LN"_L#-$, #$J",LN#IHHI, ,I _HF,,I$L I$ LN-#, dNF$JI, _FL*d-N#I, P

! HI, aHF$_eIN, _-$,L#L"*, JA"$I JFHHI F,,-_#*I b JI, a-"LNI, ,I_-$JF#NI, ILaN#$_#aFHI,

! HI, aHF$_eIN, b a-"LNIHHI, aN*cFGN#`"*I,

!

HI, aHF$_eIN, _eFKa#d$-$, IL HI, aHF$_eIN, JFHHI,:! 3I, aHF$_eIN, JFHHI, ,-$L _-$,L#L"*, JA"$I JFHHI aHI#$I NIa-,F$L ,"N JI,

a-#$L, JAFaa"#, #,-H*,S _-$,L#L"*, aFN JI, a-LIF"k: 3-N,`"I `"I _I, JIN$#IN,-$L HF LhLI *+F,*I -$ FaaIHHI _ILLI ,LN"_L"NI aHF$_eIN _eFKa#d$-$:

3I, aHF$_eIN, b a-"LNIHHI, DaHF$_eIN, K#kLI,E ,-$L _-$,L#L"*, JA"$I JFHHI JI_-KaNI,,#-$ _-"H*I ,"N aHF_I ,"N JI, a-"LNIHHI, aN*cFGN#`"*I, I$ G*L-$ FNK* -"aN*_-$LNF#$L -" ,"N "$I _eFNaI$LI K*LFHH#`"I: 3I _-ccNFdI I,L -GLI$" aFN JI,aN*JFHHI, -" JI, _-Na, _NI"k DI$LNI+-", I$ G*L-$ -" I$ LINNI _"#LIE:3I, aN*JFHHI, ,-$L JI, JFHHI, aN*cFGN#`"*I, JI cF#GHI *aF#,,I"N DX b Z _KE JI,L#$*I,b c-NKIN HF aFNL#I #$c*N#I"NI FNK*I JA"$I JFHHI aHI#$IS HF JFHHI F#$,# _-$,L#L"*IaN*,I$LF$L I$ aeF,I c#$FHI "$ _-Ka-NLIKI$L K-$-H#Le#`"I:

3I, I$LNI+-", I$ LINNI _"#LI -" I$ G*L-$ aNI$$I$L Faa"# ,"N HI, a-"LNIHHI, Fc#$JA-GLI$#N "$ aHFc-$J "$# b HA*LFdI #$c*N#I"N:

ll


95/160

2=0/@?


96/160

2=0/@?745 Q672Q7 O

^'^

F.2N%^[.03 /% 3%4%*/


97/160

2=0/@?


98/160

2=0/@?3SY07P ;DkE;Fk w ;L a-"N CDkE w '2ILLI K*Le-JI $I J-$$I aF, JI G-$, N*,"HLFL, I$ G*L-$ FNK* _FN IHHI ,"aa-,I$-LFKKI$L `"I HI KFL*N#F" I,L e-K-dM$I IL IHHI $I aNI$J aF, I$ _-KaLI HF+FN#FL#-$ JI HF HFNdI"N JI HF LFGHI JI, a-"LNI, I$ q L* r:3AIka*N#I$_I K-$LNI `"I _ILLI K*Le-JI JI _-$L#$"#L* Le*-N#`"I J-$$I JI,K-KI$L, LN-a c-NL, ,"N Faa"#, IL LN-a cF#GHI, I$ LNF+*I,:3I NMdHIKI$L Q043 aN*+-#L J-$_ JI"k K*Le-JI, JI N*,-H"L#-$ a-"N JI, ,f,LMKI, JIa-"LNI, _-$L#$"I, P

! HF K*Le-JI c-NcF#LF#NI

! HF K*Le-JI JI 20R?>


99/160

2=0/@?


100/160

2=0/@?)0(3% c /%06 (32O'%9

F.2N%"_">)0(3% c ?509 /% /%06 (32O'%9 7


101/160

2=0/@?


102/160


103/160

2=0/@?


104/160

2=0/@?3147 @K3UU61B351?4 O

3F K*Le-JI ,AFaaH#`"I I,,I$L#IHHIKI$L F"k aHF$_eIN, JI, 5 _-$,LN"_L#-$,

#$J",LN#IHHI, r LIH, `"A#H, ,-$L J*c#$#, aN*_*JIKKI$L: 4HHI ,AFaaH#`"I *dFHIKI$L F"kaHF$_eIN, b _eFNdI JAIkaH-#LFL#-$ K-J*N*I ,# HA"$I JI, LN-#, _-$J#L#-$,_-KaH*KI$LF#NI, DY^:&&^:E $AI,L aF, NIKaH#I:

FE /N#$_#aI JI HF K*Le-JI P

3F K*Le-JI _-$,#,LI b _FH_"HIN HI K-KI$L ,"N _eF`"I Faa"# JA"$I a-"LNI _-$L#$"II$ _-$,#J*NF$L "$#`"IKI$L HI, LNF+*I, `"# I$_FJNI$L HAFaa"# _-$,#J*N*:2AI,L "$I K*Le-JI JI _-$L#$"#L* ,#KaH#c#*I P HI K-KI$L cH*_e#,,F$L ,"N "$ Faa"# $IJ*aI$J `"I JI, _eFNdI, ,"N HI, LNF+*I, FJ!F_I$LI, JI _IL Faa"#:

^'l

F.2N%"_[',3-(03%


105/160


106/160

2=0/@?


107/160

2=0/@?


108/160

2=0/@?


109/160

2=0/@?


110/160

2=0/@?


111/160

2=0/@?


112/160


113/160

2=0/@?


114/160

2=0/@?


115/160

2=0/@?


116/160

2=0/@?z 8/ P K#H#I" JI >26A P K#H#I" J" ,IdKI$L >A4 8/A K#H#I" JI ' W2:

^&^

F.2N%"WW8)**2-992*(


117/160

/++-!D-EC+$( HCC / ;(%

'-;;(% HCC74O@6@6 P ^&\

703341 1@;/34;46< 0//?T441 P ^&]

703341 1?) 0//?@1 2>61@61 )4534;46


118/160

2=0/@


119/160

2=0/@


120/160

2=0/@ JF$, HI _F, JA"$ I$_F,LNIKI$L cF#GHIS _AI,L(b(J#NI a-"N "$I JFHHI,#KaHIKI$L Faa"f*I D_F, JA"$ aF$$IF" JI N#+I JI JFHHI ,"N "$I a-"LNIE:

! 'SU' ;> JF$, HI _F, JA"$ I$_F,LNIKI$L aFNL#IH D_F, JA"$ aF$$IF" JI N#+I JIJFHHI ,"N "$ +-#HI G*L-$E:

! 'SZ' ;> JF$, HI _F, JA"$I JFHHI _-$L#$"I D_F, JA"$ aF$$IF" #$LINK*J#F#NI JIJFHHI ,"N "$I a-"LNI -" ,"N "$ K"NE:

3F _-$J#L#-$ J" Q043S JF$, HF KI,"NI -n HI, ;> ,-$L ,I$,#GHIKI$L *dF"k JA"$I

LNF+*I b HAF"LNIS aI"L hLNI N*,"K*I JF$, HI LFGHIF" ,"#+F$L P

^&[

`215%20 \ $2 ,)*/-(-)* /0 &:G$

!" $ %&'(!% !"$%&)%!% !"$%&(% !

!* $ %&'( !%

!%

!%

%&+,(!%

!*$%&)% !%

!%

%&+(!%

%&-( !%

!*$%&(% !%

%&+,(!%

%&-( !%

%&.( !%


121/160

2=0/@


122/160

2=0/@


123/160

2=0/@


124/160

2=0/@


125/160

2=0/@


126/160

2=0/@


127/160

2=0/@


128/160

2=0/@


129/160

2=0/@$ J*K-$LNI IL -$ _-$,LFLI Ika*N#KI$LFHIKI$L `"I HF N"#$I JI HF JFHHI Db HA43?EI,L F__-KaFd$*I JI c#,,"NI, DH#d$I, JI N"aL"NIES _I, H#d$I, ,-$L _-$,L#L"*I, aFNJI, J#Fd-$FHI, b XZ. aFNLF$L JI, F$dHI, IL ,I NF__-NJF$L ,"N HAFkI IL a-"N HI, JFHHI,FaaFNLI$F$L b "$ e-"NJ#, _-$L#$" HI a*N#KMLNI JI HF JFHHI: 3I, H#d$I, JI N"aL"NI

aINKILLI$L JI _-KaNI$JNI _-KKI$L HI, _eFNdI, Fd#,,F$L ,"N HF JFHHI ,I J#,LN#G"I$L,"N HI, a-"LNI, HFL*NFHI,: 2-$c#NK*I aFN HAIka*N#I$_IS _ILLI efa-LeM,I $-", aINKILJA*L"J#IN HI, a-"LNI, IL a-"LNIHHI, F+F$L IL #$J*aI$JFKKI$L J" N*,IF" JI JFHHI,:2F, JI, aHF$_eIN, _-$,L#L"*, JA"$I JFHHI F,,-_#*I b JI, a-"LNI, ,I_-$JF#NI, ILaN#$_#aFHI, P

2eF`"I a-"LNI ,"aa-NLI HI, _eFNdI, `"# Fd#,,I$L J#NI_LIKI$L ,"N IHHIS F#$,# `"I_IHHI, `"# H"# ,-$L LNF$,K#,I, aFN HI, *H*KI$L, `"AIHHI ,"aa-NLI:


130/160

2=0/@


131/160

2=0/@


132/160

2=0/@


133/160

/+++ -!D-EC+$( HCCC O

E"+(-#H (,!".E$(%%C",!(,+$((

HCCC74O@6@6 74 30 2>;/)411@>6 24633@2@;/)@;441 P ^XX

9?11@61 2>61OO)054 4< 0);0


134/160

2=0/@;/)411@>6246


135/160

2=0/@;/)411@>6246


136/160

2=0/@;/)411@>6246


137/160

2=0/@;/)411@>6246


138/160

2=0/@;/)411@>6246


139/160

2=0/@;/)411@>6246


140/160

2=0/@;/)411@>6246


141/160

2=0/@;/)411@>6246


142/160

2=0/@;/)411@>6246


143/160

2=0/@;/)411@>6246


144/160

2=0/@;/)411@>6246


145/160

2=0/@;/)411@>6246


146/160

2=0/@;/)411@>6246


147/160

2=0/@;/)411@>6246%-/&0;*2 )%#-%2".$ 3/$2010'-%/.0;

!"#$,6"/$/$$"'$3"', F.30 -0220$".-0 7#02% $0,- /"'3 Q %,/0. 8 "4-0'#0?


148/160

/+. -!D-EC+$( HCI O

;(% J",'-+C",%%#E($JC!C(;;(% HCI

5464)03@664;46< 741 O>67061 1?/4)O@2@43341 P^Z]

7@1/>1@61 2>61


149/160

2=0/@670611?/4)O@2@43341

)P 'C.(,%C",,(.(,+ '(% J",'-+C",%%#E($JC!C(;;(% O

=P $Q3B51?4 @0 8?6 O

3F N*F_L#-$ J" ,-H ,-", "$I ,LN"_L"NI aI"L hLNI HI aH", ,-"+I$L _FNF_L*N#,*I aFN "$I+FHI"N "HL#KI `":3F +FHI"N JI `" I,L _FH_"H*I b aFNL#N JI, N*,"HLFL, JAI,,F#, d*-LI_e$#`"I, J" ,-H JIc-$JFL#-$ DI,,F#, JI HFG-NFL-#NI -" #$ ,#L"E:3I J#KI$,#-$$IKI$L JI, c-$JFL#-$, I,L IccI_L"*I b aFNL#N JA"$I +FHI"N FaaIH*I_-$LNF#$LI JI _FH_"H ` D7


150/160

2=0/@670611?/4)O@2@43341

=fa-LeM,I, P2ILLI K*Le-JI ,"aa-,I `"I HF a#M_I I,L KF,,#+I IL `"I HF N*aFNL#L#-$ JI,

_-$LNF#$LI, ,-", HF ,IKIHHI I,L "$#c-NKI: 3F ,IKIHHI I,L KF,,#+I ,# ,F eF"LI"NL-LFHI I,L LIHHI `"I P

60F %4+

')56

PQ0$- %?%3/.0%#$$/ "

30F%4+

7I aH", HI J-,FdI K#$#KFH J" G*L-$ J-#L hLNI JI U'' sdtK,: 3F Le*-N#I JI, G#IHHI,_-KaN#K*I, I$+#,FdI HF LNF$,K#,,#-$ JI, Icc-NL, aFN HA#$LINK*J#F#NI JI q G#IHHI,_-KaN#K*I,:3I, Icc-NL, JI HF ,LN"_L"NI Da-LIF" -" K"NE ,-$L LNF$,K#, !",`"AF" ,-H aFNHA#$LINK*J#F#NI JA"$I ,IKIHHI N#d#JI aFN "$I ,"__I,,#-$ JI G#IHHI, JI G*L-$: 2I,

G#IHHI, `"# LNF+F#HHI$L I$ _-KaNI,,#-$S ,-$L #$_H#$*I,:3I, F_#IN, NIaNI$$I$L HI, Icc-NL, `"# LI$JI$L b *_FNLIN HI, G#IHHI,: 3I, F_#IN,#$c*N#I"N, ,-$L J-$_ ,-HH#_#L*, I$ LNF_L#-$:

3F N*F_L#-$ IkIN_*I aFN HI ,-H *`"#H#GNI HAIcc-NL a Faa-NL* aFN HF ,LN"_L"NI: 2ILLIN*F_L#-$ J" ,-H ,I J*_-Ka-,* I$ "$I _-KaNI,,#-$ JI HF G#IHHI JO_ IL "$I LNF_L#-$JI HAFNKFL"NI J6,:

2FH_"H JI, FNKFL"NI, P3I, G#IHHI, JI G*L-$ aF,,I$L aFN HI a-#$L ' J*c#$# aFN P

^Z\

F.2N%"ZX$%9 2,-%39 -*4'3-%039


151/160

2=0/@670611?/4)O@2@43341

3F _-$LNF#$LI F" ,-H I,LS a-"N "$I H-$d"I"N JI ,IKIHHI JI ^ K P

^Z]

F.2N%"ZY825,05 /%9 23.2(03%9 7


152/160

2=0/@670611?/4)O@2@43341

'1>7481?447>745 @K047 87>7667 8?08 04 >0S

^Zl

F.2N%"ZZ4)3.05%9

F.2N%"Z[4)3.05%9


153/160

2=0/@670611?/4)O@2@43341

3FNdI"N JI HF ,IKIHHI P/-"N _I LfaI JI ,IKIHHIS HF ,I"HI J#KI$,#-$ e-N#o-$LFHI b J*LINK#$IN I,L HF HFNdI"NJI HF c-$JFL#-$S HF H-$d"I"N *LF$L _IHHI J" K"N b ,"aa-NLIN: 3I, _eFNdI, ,-$L

_FH_"H*I, b HA43? a-"N "$ KMLNI JI K"N:! /-" P _eFNdI, LNF$,K#,I, aFN HI K"NS /-" w ^SUZ 5 ~ ^SZR

0"k _eFNdI, LNF$,K#,I, aFN HA-,,FL"NI D/-"ES $-", JI+-$, F!-"LIN HAI$,IKGHI JI,_eFNdI, Fd#,,F$L ,"N HI, J*G-NJ, JI HF ,IKIHHI P a-#J, JI, LINNI, D w ^] v6tKUESJFHHFdIS _eFNdI, +FN#FGHI, ,"N JFHHFdI:3AI$,IKGHI JI _I, _eFNdI,S ,F$, -"GH#INS HI a-#J, aN-aNI JI HF ,IKIHHIS _-$,L#L"I$LHF _eFNdI /H":

F0Z#

7

Z# ",6%.>0 -"-%20 #2-/10-.%'$1/$0? 2% $010220

Z##Z

"#'Z

2#7 ","'-.%/'-030 ,%2,#2 3# $"2;

=F"LI"N JI HF ,IKIHHI P3F _-$J#L#-$ JI, ,IKIHHI, N#d#JI, $-", #Ka-,I P

^['

F.2N%"Z\$23N%03 /% 52 9%.%55% 7


154/160


155/160

2=0/@670611?/4)O@2@43341

1# OI 4 X'' w 0,^ K#$ & _Kx ,-#L X =0 ]

'1>7481?447>745 @K047 87>7667 8?08 04 U?5730

7#KI$,#-$, JI HF ,IKIHHI P7F$, _I _F,S #H cF"L J*LINK#$IN HI, JI"k J#KI$,#-$, JI HF ,IKIHHI NI_LF$d"HF#NI P 0IL Q:4$ d*$*NFHS HI, J#KI$,#-$, JI HF ,IKIHHI ,-$L J*LINK#$*I, JI LIHHI ,-NLI `"AIHHI,,-#I$L e-K-Le*L#`"I, b _IHHI, J" a-LIF"kS _AI,L(b(J#NI

=F"LI"N P3F _-$J#L#-$ #Ka-,*I a-"N HI, ,IKIHHI, N#d#JI, J-#L hLNI +*N#c#*I JF$, HI, JI"kJ#NI_L#-$,:

^[&

F.2N%"[";-.%*9-)*9 /% 52 9%.%55%

F.2N%"[W/.26


156/160

2=0/@670611?/4)O@2@43341

1I_L#-$ JI, F_#IN, LNF$,+IN,F"k P@H ,AFd#L JI, FNKFL"NI, aN#$_#aFHI, JF$, HI, JI"k J#NI_L#-$,: 3I J#KI$,#-$$IKI$L ,I

cF#L b ^A43?:0, I,L HF ,I_L#-$ JAF_#IN b N*aFNL#N ,"N ^ KH JI ,IKIHHI:1# HF c#,,"NFL#-$ I,L aI" aN*!"J#_#FGHI P

! HF ,I_L#-$ JAFNKFL"NI aFNFHHMHI F" _{L* 0 I,L 0,F

3-N,`"I HF c#,,"NFL#-$ I,L aN*!"J#_#FGHI -" LNM, aN*!"J#_#FGHIS HI, ,I_L#-$,JAFNKFL"NI, aN*_*JIKKI$L _FH_"H*I, ,-$L KF!-N*I, JI ^' p -" Z' p:

!P 'C%E"%C+C",% !",%+$#!+CI(% O

=P '1>7481?48 @78 87>76678 S1:1@78

^[U

F.2N%"[X52 9%,(-)* /P23.2(03%


157/160

2=0/@670611?/4)O@2@43341

7F$, HI _F, JI, ,IKIHHI, b dHF_#,S HA*aF#,,I"N I J" aFL#$ J-#L +*N#c#IN PI [} ~ [ _K}P J#FKMLNI JI HF aH", dN-,,I FNKFL"NI F+I_ _N-_eIL, F"k IkLN*K#L*,:

FE 0NKFL"NI, LNF$,+IN,FHI, P

! 4$N-GFdI P7F$, HI, c-$JFL#-$,S HAI$N-GFdI K#$#KFH JI, FNKFL"NI, I,L JI U _K:2N-_eIL, F"k IkLN*K#L*, P3AF$_NFdI JI, FNKFL"NI, J-#L hLNI aFNL#_"H#MNIKI$L ,-#d$* P ,A#H $I aI"L hLNI N*FH#,*aFN JI, GFNNI, JN-#LI,S #H I,L $*_I,,F#NI JI aN*+-#N JI, F$_NFdI, _-"NGI, `"#a-"NN-$L hLNI JI, _N-_eIL, $-NKF"k -" b ^UZ.:

^[X

F.2N%"[Y;-.%*9-)*9 /%9 9%.%55%9 3-N-/%9


158/160

2=0/@670611?/4)O@2@43341

/-"N !",L#c#IN HI, _N-_eIL, F"k IkLN*K#L*,S $-", "L#H#,-$, HF K*Le-JI aNFL#`"I,"#+F$LI P!"#$ ,"150$ %#A 0A-.51/-5$0-

,"150$%#A0A-.51/-5$0-


159/160

2=0/@670611?/4)O@2@43341

^[[

F.2N%"[[S%,(-)* /P2,-%39 %* 1233%9


160/160

2=0/@670611?/4)O@2@43341

Cours de Beton Arme-suivant Les Regles b

Documents

Transcript of Cours de Beton Arme-suivant Les Regles b