BP-isostatique-1 (1)

8/16/2019 BP-isostatique-1 (1)

1/214

fc28 35 g(KN) 20h(m) 0.8 gs(KN) 3b(m) 1 v 0.4L(m) 24 v' -0.4

LES PERTES

x instantanées diférées Ki10*L 0 20270.2322513 23!81.352 -10.310"1L 2.4 18!78.28328!123 1118.125 -.440"2L 4.8 15735.440!048355 17570.331 -7.8380"3L 7.2 125!8.27154121 22543.24 -!.0550"4L .! 8!3.2230342028 2!!!0.828 -3.8430"5L 12 8002.2!034382 2!425.5! -3.4850"25L ! 233!.440!478741 15727.48 -12.1352!

les moments LES EXCE

#g

x Mg Mgs Mq x

0 0 0 0 02.4 518.4 77.7! 311.04 2.44.8 21.! 138.24 552.! 4.87.2 120.! 181.44 725.7! 7.2.! 1382.4 207.3! 82.44 .!12 1440 21! 8!4 12! 1080 1!2 !48 !

LESv 0.4 $ 0.042!!!7 %11v' -0.4 & 0.8 %21

Mg MgS

S S 0 0 0 0 0 0

2.4 4.8! -4.8! 2.4 0.72 -0.724.8 8.!4 -8.!4 4.8 1.2! -1.2!7.2 11.34 -11.34 7.2 1.701 -1.701

.! 12.! -12.! .! 1.44 -1.4412 13.5 -13.5 12 2.025 -2.025! 10.125 -10.125 ! 1.51875 -1.51875

VERIF

EN CONSTRCTION

+#&$N,$S+N R,RE

SOS Mg !1 est "re"onderant

P1 P2 sous P1x $S $i $S $i x $S0 -103.00 -103.00 -15.5 -15.5 0 -103.001


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2.4 -15.!2 -172.!1 -27.05 -2!!.20 2.4 -14.80274.8 3.00 -14.3 5!.31 -300.30 4.8 40.28277.2 !0.87 -180.1 0.13 -281.10 7.2 !2.5!44.! 54.32 -130.51 80.1 -20!.11 .! 5!.2!08412 53.8 -123.07 80.!1 -15.14 12 5!.007705! 85.88 -32!.4! 127.1 -48.! ! 87.3!47!

EN EX!LOITATION

+#&$N,$S+N R,RE

SOS Mg#Mgs SOS Mg#Mgs#Mq

Sous P1 SOUS P2

x $S $i x $S $i

0 -235.14 -235.14 0 -358.17 -358.172.4 -38.10 -3!3.48 2.4 -58.22 -555.0!4.8 78.!1 -430.08 4.8 120.27 -!58.387.2 1!!.37 -538.00 7.2 254.34 -822.!8.! 217.7! -51.4 .! 332.88 -04.3812 228.83 -52.82 12 34.7 -0!.87! 142.!! -558.77 ! 217.!8 -852.74

+#&$N,$S+N RE/ENTE

SOS Mg#Mgs#%11Mq

SOUS P2 Sous P1

x $i $S x $i $S

0 -358.17 -358.17 0 -235.14 -235.142.4 -553.0 -5.3 2.4 -3!5.23 -3!.354.8 -!5!.30 118.1 4.8 -433.1 81.727.2 -81.! 251.!2 7.2 -542.08 170.45.! -01.27 32.77 .! -5!.15 222.4312 -03.!3 34!.73 12 -57.!8 233.!

! -850.31 215.25 ! -5!2.41 14!.31+#&$N,$S+N /,S$-PER#,NENTES

SOS Mg#Mgs#%&1Mq

SOUS P1 SOUS P2

x $S $i x $S $i

0 -235.14 -235.14 0 -358.17 -358.172.4 -38.10 -3!3.48 2.4 -!1.14 -552.154.8 78.!1 -430.08 4.8 115.08 -!53.17.2 1!!.37 -538.00 7.2 247.54 -815.88

.! 217.7! -51.4 .! 325.11 -8!.!012 228.83 -52.82 12 341.87 -88.77! 142.!! -558.77 ! 211.!1 -84!.!7


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ERR,$LL,E P,SS$ L+N$T/$N,L

) ,R#,T/RES E PE,/

b),R#,T/RES ,NS LES +NES TEN/ESEN P+ST-TENS$+N

x 's(m) *t(m+) $*t(M!a) N*t(MN) As(,m+)

02.44.8 0.124 0.!7! 0!.87 30!.72 25.037.2 0.18 0.!11 0!.87 277.08 22.!1

.! 0.215 0.585 0!.87 2!5.15 21.!412 0.223 0.577 0!.87 2!1.74 21.3!! 0.1!3 0.!37 0!.87 288.7774 23.58

ER$$,T$+N , L ET,T L$#$TE /LT$#E

-ONNEES

,R#,T/RES ,T$ES ,R#,T/RES P,SS$ES,P(m2) 0.00111! f6g (#) ,S(m) 0.0005!5 5 147! f6 500P0(#N) 7.3 E9 10000

E+#ETR$/ES

x .s .! Mg Mgs Mq

/ 0.732 0.4 0 0 0&0 0.732 0.50431 518.4 77.7! 311.0402 0.732 0.585437 21.! 138.24 552.!30& 0.732 0.!43354 120.! 181.44 725.7!

405 0.732 0.!7807 1382.4 207.3! 82.441& 0.732 0.!8584 1440 21! 8!45 0.732 0.!172! 1080 1!2 !48

,L/L E L'E+RT /LT$#E N:

,R#,T/RES P,SS$ES

f6;=s E9 100000"*f6g; As=5HA12=5,65cm² e

;1000 ;_=_ +_/_ ∗_ _

;


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P0(#N) 7.3 @(@=:>s) 14 -1"5fA@'B 12 fc@ 2.1453 ,(mm2) 111! fA@ 2.348718 5 -0"7fA@' -1.!7!41

EC=AA= c=sA>:cA=

Ki& KS1 KS& !1 !& !1 !&-1!.137 -23.722 -3!.133 -188.114 -28!.533 -82.401 -127.!3-14.72 -20.257 -30.35 -1!0.!35 -245.313 -75.21 -117.28-12.307 -17.72 -27.143 -140.588 -215.244 -!2.154 -7.53-.!33 -18.745 -28.!!8 -148.!4 -227.33! -48.01! -7!.38!-!.315 -18.851 -28.827 -14.41 -228.58 -30.477 -50.077-5.777 -18.3!053 -28.007 -145.5 -222.7!0 -27.!34 -45.812

-18.75288 -20.8 -32.033 -1!!.442 -254.025 -!.23 -148.71TRICITES

e(X)

0-0.10432-0.18544

-0.24335-0.27807-0.2858

-0.2173 ONTRAINTES

0.!0

!/ Mq

S S0 .13 .13 0 0

2.4 2.157 17.!!8 2.4 2.1!4.8 -3.874 23.! 4.8 5.1847.2 -8.180 28.005 7.2 !.804

.! -10.7!1 30.58! .! 7.77!12 -11.!17 31.442 12 8.1! -!.242 2!.0!7 ! !.075

CATION DES CONTRAINTES

SOS Mg#Mgs

sous P2$i x $S $i

-103.001 0 -15.534 -15.534


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-173.337 2.4 -2!.31!23 -2!!.27-15.!843 4.8 57.!1 -301.528-182.!0 7.2 1.832537 -282.77-132.4531 .! 82.857788 -208.04-125.015 12 82.!385 -17.1!81-327.77 ! 128.70!14 -500.4821

SOS Mg#Mgs SOS Mg#Mgs

SOUS P2 Sous P1

x $S $i x $S

0 -358.17 -358.17 0 -235.1432.4 -!1.14 -552.15 2.4 -35.1884.8 115.08 -!53.1 4.8 83.777.2 247.54 -815.88 7.2 173.17!.! 325.11 -8!.!0 .! 225.53812 341.87 -88.77 12 23!.25! 211.!1 -84!.!7 ! 148.73


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f6 500fc28 35fA28 2.7

As(,.oisi) 9 As c6A>6 D6 g>vA0.732

5 F, 12 5.!55 F, 12 5.!5

5 F, 12 5.!55 F, 12 5.!55 F, 12 5.!5

C(m)7 0.0!23.5 fb: 1.83333310 Es 200000

0.4!3!75

:!(MN) !m(MN) M;(KN0m) =:v6 B:6 N/ GPm.C s6cA= D6 bA= c=m>m6 6sA s:MsA6 =:> >6>6D>6 C >D6 J: =:> B:6 C c=DA= N/ 9Pm s=A v>6. 6 B: D=6 C6 AD6 J: 6c6ss>6 Ds chB:6 s6cA= =:> C v>cA= C'EL/.


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-3.5230817.48718

0

-2.1!-5.184-!.804

-7.77!-8.1-!.075

SOS Mg#Mgs#Mq

sous P2x $S $i

0 -15.534 -15.534


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2.4 -23.40023 -2!.84574.8 !2.74 -30!.77!87.2 8.!3!537 -28.!01.! 0.!33788 -215.82512 0.7385 -205.2!81! 134.78114 -50!.5571

#Mq

$i

-235.143-3!!.3-435.2!8-544.800-5.2!5-!00.23-5!4.845


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,s;&0.70!25

B! $"(B!) $"(B!m) :$!(M!a) *CD=;

-7.807 -44003.42 -42531.128! -1472.288 !.244-8.078 -3782!.3 -3!375.2!1! -1451.130 7.108-.747 -335!5.2! -31884.!245 -1!80.!38 7.38!

-13.2!0 -3544.0 -33!0.42!3 -2253.!!! 7.24

-15.508 -3!515.78 -33878.03 -2!3!.881 7.342-15.881 -35855.7! -33007.078 -2848.!8! 8.727-13.205 -352.0 -37!7!.2418 -2275.84 7.253

Pv=A & J: E>>Q502

:FB!(O

=c = 6sA Ds C6 v=A & c'6sA--D>6 B:6=A>A. $L f:D> C=>s :gm6A6> C vC6:>C6: c-D6ss:s v6c C6s DO>6A6s vC6:>s


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12/214

A"D:$! AsD$s N G; M

-8.2153! 0.245!522 10&1? 0.243 10645 v>-8.07307 0.245!522 104644& 0.325 &0?53 v>-.3775 0.22!4248 1506?3 0.3 &042& v>-12.5754! 0.234271! 1405?6 0.45 ?0?3& v>

-14.7137 0.2301884 &102&6 0.43 ?05?& v>-15.85!7 0.1308745 &0416 0.470 01/ v>-12.!24 0.2378538 14031 0.434 ?0132 v>


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Bs Bes

3.01080052.21875 2.17

2.0037542.0731

2.0370!511.15818182.104005


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fc28 4000gh=:>Ds 2.775 cs 2400 h 2.5L 37 As -450 0.44321B 12 c 2000 $; 0.721118gs 0.72 A -300 g(Af) 3.1145833

#(Af.m) !85 ##(Af.m) 1774$ 0.71!782 0.38855' 1.30!1145& 1.2458333$;' 0.54878!

h 1.20087!873 P$ 130.05!7h 1.33!77031 P$$ 17.!023

. !I !II IH J!.H() !IIH/52

2.5 130.05!785 17.!023 0.721117!8 0.4841557 134.41!12.3 141.3!!0707 1010.517 0.721117!8 0.533215 148!.1!432.3 141.3!!0707 1010.517 0.721117!8 0.533215 148!.1!43

J J'eri,ation

Mg Mgs Mq *

4 123 !85 e/dF

,ontraintes d;es !" Mgs

$S $i $S $i $S

1378.2742 -1811.25 170.55103 -224.12!13 4.81!72

6 6C=AA=

Com=inaison rare

so;s Mg#mgs#Mq ae, !& so;s Mg#mgs ae, !1

$S $i $S $i

1!71.1 -55.2 551.8 185!.80érié érié érié érié

=mbs=s f>B:6A6sso;s Mg#mgs#Mq ae, !&

$i

443.350 0érié

Com=inaisons q;asi>"emanentes

o;s Mg#mgs ae, ! so;s Mg#mgs ae, !&$S $i $S $i

551.8 185!.80 722.0 112.28


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érié érié érié érié

EO=>A A>chAh 2.3P1 !5.032 s:> : 557.8852174 m mUb>>6 283.55!!1 122.277217 57.!172Vg 0.081b 0.355b>>6 187.8300!W1(>D) -0.044573 cable1(P) >601&//5 moD) 0.3!03!272 0.24 1&(P) &/052/1&61 0.!2 &

,.oisi(P) 1 0.!2 ?LXC(m) .1451233 0.!2 LXC >6A6: .2 S=mm6 2.1

>6sAA 0.2

X

/

1026

?03

6066

30

40&61101

1&046

102

15056

1206

EO=>A A>chA

h 2.3P1 !5.032 s:> : 557.8852174 m mUb>>6 283.55!!1 180 122.2772Vg1 0.081b 0.355b>>6 187.8300!

W1(>D) -0.0112!733 cable

1(P) >/05663/5 moD) 0.4!24058! 1

&(P) &50423623 &


18/214

,.oisi(P) &/ ?

LP>(m) 11.4212!3!3

LP, >6A6: 11.5

Vg2 0 XSA 0.013344 /

1026?03

6066

30

40&6

1101

1&046

102

15056

1206

0 2 4

-1.500

-1.000

-0.500

0.000

0.500

1.000

1.500


19/214

h 2.3 h 2.3 0.44321 0.4432100153$; 0.721118 $; 0.721117!78gP 3.1145833 g 3.1145833333

## 178! ## 178!$ 0.71!782 $ 0.71!782045 0.38855 0.38855072' 1.30!1145 ' 1.30!114428& 1.2458333 & 1.2458333333$;' 0.54878! $;' 0.548785!

P$ 141.3!!07 P$ 141.3!!070!!P$$ 1010.517 P$$ 1010.517087

!/ n !,.oisi /2&D!II J!.H()

148.3 .02318148.3 10.021337 8 72.848 0.4722404érié211. 7.0135171 8 130.0!4 0.!747!5!érié

1.2458333 K1 0.82-1.0!11 K& 0.!8

0."1

q #

$i $S $i

-1248.202 -1215.78 474!.5712


20/214

fc28 40001ere Qamille @ 7 fc@ 2!4.00!!225

4 $,s(=arre) 158.404P0 847.! $ts(=arre) -328.410!6 1.1!5!145 $,i(=arre) 1324.5033c 0.1 $ti(=arre) -218.404D 0.1405

P>m6A>6 D6 C >b=C6 ,gC6 D6$ e tan%&' A ( C W(>D)-1.1!5!14 1.153752 0.24328 0.0134047 -0.24328 -0.00!2328 0.24434!1-1.0!!114 0.05 0.021378 0.0011504 -0.02138 -1.0!!11443 0.02134!-0.44!114 0.715 0.1547312 0.008318 -0.154731 -0.44!11443 0.1535138

0.1738855 1.335 0.2880!45 0.0154873 -0.2880!5 0.1738855072 0.28047120.738855 1.55 0.421378 0.022!558 -0.42138 0.738855072 0.38815!

Excentrement M)ments F*sea* +

,a=le 1 ,a=le & ,a=le ? ,a=le Mmax Mmin e1

-1.0!! -0.44! 0.174 0.74 0 0 0.582-1.102 -0.704 -0.30! 0.02 214.0 101.27 0.32-1.130 -0.05 -0.!80 -0.455 407.18 11.87 0.102-1.14 -1.04 -0.48 -0.847 57!.84 271.82 -0.08-1.1!1 -1.13! -1.110 -1.084 723.88 341.11 -0.272

-1.1!! -1.1!! -1.1!! -1.1!! 848.30 3.74 -0.41-1.1!! -1.1!! -1.1!! -1.1!! 50.0 447.71 -0.53-1.1!! -1.1!! -1.1!! -1.1!! 102.27 485.01 -0.!32-1.1!! -1.1!! -1.1!! -1.1!! 1085.82 511.!! -0.!-1.1!! -1.1!! -1.1!! -1.1!! 111.75 527.!5 -0.73

-1.1!! -1.1!! -1.1!! -1.1!! 1131.0! 532.8 -0.752

fc28 4000

&eme Qamille @ 1! fc@ 3547.!718404 4 $,s(=arre) 2128.!031P0 847.! $ts(=arre) -40.2056 1.084!145 $,i(=arre) 1773.835c 0.1 $ti(=arre) -272.8!03D 0.2215

P>m6A>6 D6 C >b=C6 ,gC6 D6

$ e tan%&' A ( t %m' W(>D)

-1.084!14 2.0785 0.3!14783 0.01571!4 -0.3!1478 6 0.34!8!3!

-1.084!14 2.0785 0.3!14783 0.01571!4 -0.3!1478 & 0.34!8!3!

-1.084!14 2.0785 0.3!14783 0.01571!4 -0.3!1478 0.34!8!3!


21/214

-1.084!14 2.0785 0.3!14783 0.01571!4 -0.3!1478 5 0.34!8!3!

-1.084!14 2.0785 0.3!14783 0.01571!4 -0.3!1478 2 0.34!8!3!Excentrement M)ments F*sea* +

,a=le 6 ,a=le 5 ,a=le 3 ,a=le 2 Mmax Mmin e1

1.077 1.077 1.077 1.077 0 0 1.0!30!2

0.4 1.077 1.077 1.077 30 214.023401 1.11472!!0.425 1.077 1.077 1.077 53 407.18338125 1.10328!!-0.01 0.471 1.077 1.077 835 57!.84312344 1.04!42-0.500 -0.053 0.51 1.21! 1050 723.8815!!!7 0.3!085-0.801 -0.471 -0.015 0.5!7 124! 848.287104 0.753214-0.4 -0.780 -0.441 0.024 1415 50.0455!25 0.5538!1-1.080 -0.82 -0.75 -0.410 15!1 102.2!102! 0.381!10-1.00 -1.077 -0.70 -0.737 1!84 1085.82235 0.23!452-1.00 -1.0!4 -1.073 -0.57 1750 111.754284 0.158!283

-1.00 -1.00 -1.00 -1.00 178! 1131.0!447 0.11!1555

! 8 10 12 14 1! 18 20

YbC6 NZ5

YbC6 NZ!

YbC6 NZ7

YbC6 NZ8 0 2 4

-1.5

-1

-0.5

0

0.5

1

1.5


22/214

12T13 0

0 12T13 0

P -##;P

1!5.2 0.442152848 >/05111


23/214

>6C6vg6W(>D)

141.2258148.75!1!

1!.0!81422.850453

,assage

e& ,a=le mo<

-0.858 -0.00!-0.78 -0.422-1.085 -0.745-1.17 -0.77-1.2!1 -1.117

-1.330 -1.1!!-1.387 -1.1!!-1.431 -1.1!!-1.4!2 -1.1!!-1.481 -1.1!!

-1.487 -1.1!!

>6C6vg6

W(>D)

1.873822

1.873822

1.873822

)9 W;(2? ;2 ) ) [2 W \ [] )( − ( −_ ∗ + ∗ ( −−_

W9\(2∗ ^ );( ;2− ^ )

0 2 4 ! 8 10 12 14 1

-1.500

-1.000

-0.500

0.000

0.500

1.000


24/214

1.873822

1.873822 ,assage

e& ,a=le mo<

-0.!47701 1.07!!514!37 0.53520!1

-0.7817!8 1.07!!514!37 0.32751!5-0.01723 1.07!!514!37 0.1243217-1.0075!! 0.782!!887 -0.088!42-1.02! 0.21!8!44108 -0.45018-1.17!14 -0.25851873 -0.71205-1.24042 -0.!2!32224 -0.85!

-1.28813 -0.88!5478 -1.02!081-1.32504 -1.0313!3 -1.102404-1.34!2!3 -1.01334853! -1.08482

-1.35331 -1.01334853! -1.08482

! 8 10 12 14 1! 18 20

61()

62()

YbC6 #=J6


25/214


26/214

18 20

cYbC6 NZ1

YbC6 NZ2YbC6 NZ3

YbC6 NZ4

0 2 4 ! 8 10 12 1

-2.000

-1.500

-1.000

-0.500

0.000

0.500

1.000


27/214


28/214


29/214

4 1! 18 20 61()62()

cYbC6 #=J6


30/214


31/214


32/214

0.500

1.000

-:s62: D6 52ss2g6 5>6m)_>6 f2m)CC6


33/214

0 2 4 ! 8 10 12 14

-2.000

-1.500

-1.000

-0.500

0.000

61() 62() cbC6


34/214


35/214


36/214

! 18 20

=J6


37/214

L 37

L6s cYbC6s ch=sA Q 6 C=les 1&T1?

b (m) h (m)

0.4 2.3 s Css6 $(Tf) Ps (Tf)8 211. 211.8132

P= 1!5.2fc28

@ 28 fc@

L6s 6>A6s sAA6s.

1) P6>A6s > f>=AA6m6A :$7$"/0(D#9

f # -f YbC6

0"0.L 0 0.000 12!0.000 1355.457! 107!40.3850"1L 3.7 3020.873 123!.127 13!2.2184 1017!.4470"2L 7.4 !041.745 12048.255 13!.12!08 110712.500"3L 11.1 0!2.!18 11727.382 1375.!032 112248.5710"4L 14.8 10734.52 11!255.471 1382.745! 115133.550"5L 18.5 1132.337 11557.!!3 138.!288 11557.!!3

0"25L 21.8 117.031 115010.! 1372.5432 103050.78

2) P6>A6s > R6c:C D6 C'c>g6

DcCc:C 15.7100!77 Dch=s 15.711 0"0.L 0(,1) 107!40.3848 0"1L 3.7(,) 12!0 0"2L 7.4

g*E 152000 0"3L 11.1S 152000 0"4L 14.8# -!.227E-012 0"5L 18.5, 134.!1517 0"25L !

S>6c 152000() 11557.!!3

L6s 6>A6s sAA6s A=AC6sQ L A6s

()9(gf)#

` YbC60"0.L 0 20270.23 0"0.L0"1L 3.7 18!78.283 0"1L

>cA>sAB:6s D6scYbC6s

g.E9( [?()− ); ^


38/214

0"2L 7.4 15735.441 0"2L0"3L 11.1 125!8.27 0"3L0"4L 14.8 8!3.223 0"4L0"5L 18.5 8002.2! 0"5L

0"25L ! 233!.441 0"25L

3) C = sm:CA6A D6 C ms6 6 A6s= D6s cYbC6s

L6s 6>A6s DO>6s.

1) R6A>A D: bA=Q

s Ks h I >m0.01071003 0.823575274 80 15.5721!!!7

0.0001220!1!> (#) 133.001

3) C:g6 D: bA=

$ m4 0.71!78204! 0"0.L 0

& m 1.2458333330"1L 3.70"2L 7.4

(m) 0.75851374 0"3L 11.10"4L 14.80"5L 18.50"25L !

2) 6>A6s > >6CA= D6 C'c6>Q

RN 0"0.L 02.5 0"1L 3.7

0.43 0"2L 7.40"3L 11.10"4L 14.80"5L 18.50"25L !

6>A6s A=AC6s DO>sQ

D()9(fC5;!()>) # YbC6

0"0.L 0 23!81.352 23!81.352

H>

1000 Ia0

#$r = ^ ? (>(A)->( ^0))* ^


39/214

0"1L 3.7 1118.125 1118.1250"2L 7.4 17570.331 17570.3310"3L 11.1 22543.24 22543.240"4L 14.8 2!!!0.828 2!!!0.8280"5L 18.5 2!425.5! 2!425.5!

0"25L ! 15727.48 15727.48


40/214

A1 T2 A3 A42 4 ! 8

L-2*A 33 2 25 21

W (>D)

0.38815!42E (Tf;m) f>g (Tf;m) f6g (Tf;m) , (mm) 1000 (R6CA=) I1000000 1!2300 141100 1!!8 TR& 2.5

&R 54000 RN 4000

16>6 fmCC

0.021345850.15351377Wm=J60.2804711!2

0.38815!42x) 0.34!8!3!22

, & g# 0.001150422 -0.0213784

0 224.171 0.008318881 -0.1547311832.4 210.503 0.01548734 -0.2880!451!4.8 1!.834 0.022!5578 -0.42137847.2 183.1!! m=J6 0.013404731 -0.24328003.! 1!.47 26m6 0.01571!44!12 155.82

! 106A6 -1231.!03716A6 ,- -725.12280156A6 ,1- 50!.4811!! 3) P6>A6s > Rcc=:>cs

,-# ,1-# g# & 1.245833333 12!0 107!40.38483 134.!1517 $ 0.71!78204! 0

124307.04! 10514.3!51! 1472.!8048 0.75851374 3.7121!24.01 111388.3454 10235.74578 Eb 37!147.083 7.4

11841.137 1132!2.32581 5!78.81101 P= 211.8132 11.111!258.183 11513!.30!14 1121.87!38 L 37 14.8113575.228 117010.28!47 0 gs 4 18.5122!3.2!3 110!7.27185 115.134 0 12!0 !

8E 1000000, 13344

= AC6 >=bC6 Ds C6 cYbC6 6sA Q g 4

YbC60 10!71.0773.7 108311.717

()90-()


41/214

7.4 111254.5511.1 114421.72114.8 118350.77718.5 11887.731

! 103!20.55

+ ' s c6 cs C

>(A9)91

A0 >(A0)0.00014820 28 0.1!!511801

>5;!*() fC ()

4!8.38! 18712.!7514!.542 1371.584548!.014 12084.31758!!.2!7 1!!77.027!35.4!7 20301.3!1!441.!!2 184.244!32.74 1104.74

#g() 6()0 0.53520! 174.380

404.744850.124322

12!.43571.54!4 -0.450180 1134.2!

44.404!5 -0.85! 1!78.32107.31! -1.102404 213!.15!1124.2125 -1.08482 208.852

!11.01 -0.217300 1015.724

a ()

0.!58 3!42.4!20.!!7 385!.240.!85 42!3.!1!0.705 471.10.72 5311.7!00.733 5410.330.!38 323.!8

H0

#()


42/214


43/214

211.8132

f>=AA6m6Ag (mm) Vg (m) 0 (Tf;m)

f (>D-1)0.1! 0.0014 8 8.1 12!0

0.24434!1

0.25!04

s6m6A D: bA=

6() #gs 0-f-g #*6;$ # #g0.53520!1 0 107!40.385 0 0 00.1243217 24!.42 1032.30 42.740 215.8!2 3!0.3825

-0.45018 438.08 10322.8 -275.13 -138.!10 !40.!2

-0.85! 574.8 108!18.!31 -718.718 -3!2.3 840.0825-1.102404 !57.12 11002.258 -1010.!45 -5104.337 !1.038-1.08482 !84.5 110342.73 -1040.414 -5254.!0 1001.0813

-0.2173 372 102481.37 -112.775 -5!.581 544.05

gs gh0.72 1.85

=sA-T6s=:6 DCC6c=:C6 s:

V (m-1)

0 5 1 00.000

20000.000

40000.000

!0000.000

80000.000

100000.000

120000.000

140000.000

C.art

=C:m


44/214


45/214


46/214

#g*6;$ #0 1842.!1!1

!2.507428 127.7358-402.307 1!5.11

-1051.125 213.578-1478.0!8 3774.310!-1521.!0! 372.2451-1!4.342 24.13835

Q c> c'6sA &P D=cchA6>"

0 50.000

20000.000

40000.000

!0000.000

80000.000

100000.000120000.000

140000.000

1 5 20 2 5

Title

=C:m


47/214


48/214


49/214

10 15 20 25

*h2>A T)AC6

=C:m =C:m E


50/214


51/214


52/214

P0 12!0L 37

"ertes "ar rottement

f(Tf)x Ca=le 1 Ca=le & Ca=le ? Ca=le

0 / 0 0 0 0

0"1L ?03 830.78124 108.!03172 28!.4251 40!4.2470430"2C 30 1!!1.5!25 3817.20!344 572.8502 8128.4408!0"3L 1101 2408.1283 502.578!8 7!72.14 1007!.720330"4L 102 30!5.3!5 5750.3871!8 832.581 10734.52853

0"5L 1206 3723.7447 !408.153!8 887.7!!3 1132.33!73

!ertes "ar re,;l dFan,rag

:$g(T)

x Ca=le 1 Ca=le & Ca=le ? Ca=le

/ 113.!1 14!24.41158 1718!.!73 134.!1517?03 10450.4!3 120!1.13344 1351.5!! 1472.!804830 8!0.!52 47.8552 !.458 10235.74578

1101 7471.4!73 !34.577143 !401.3533 5!78.81101102 581.!4 4371.285 280!.24!8 1121.87!38

1206 442.4715 1808.020848 0 0

!ertes "ar déor

:$g(THm+)

x Ca=le 1 Ca=le & Ca=le ? Ca=le / 0 0 0 0

?03 -88!.58 -732.!3303! -578.!!72 -424.70130830 -1!18.1 -1!12.0!345 -1!05.13! -158.2074

1101 -212!.385 -212!.3851 -212!.385 -212!.3851102 -2430.155 -2430.1545 -2430.155 -2430.15451206 -2531.411 -2531.4104 -2531.411 -2531.4104

!ertes d;es la non sim;ltanéité de mise

x 1ere amil&e Qamilles;mo

Ds16>6fmCC6


53/214

/ 14115.17 1!7.!247 13!1.81 21524.8330!?03 1401.557 1!!4.1471 1481.!3 2184.710430 1413!.285 1!332.5!51 1008.12 21424.3558

1101 127!7.48 14233.3328 1!27.!8 17!1.70812102 11472.!! 117!7.!304 12782.15 13502.34711206 1058.278 78!.!70! 10558.25 12!2.82022

!ertes d;es a; retrait d; =éton

1ere amil&e Qamille

> (Tf;m) 2218.0855 2285.84307

x 1ere amil&e Qamille &e Qamille

/ 1237.!52 1237.!51!7?03 1305.55! 1305.55!2830 12187 1308!.33

1101 15!52.072 15!52.0721102 1734.7!! 1734.7!!321206 18432.741 18432.74112

x 1ere amil&e Qamille &e Qamille

/ 3388.7547 2813.!211?03 3710.1044 3245.5522830 40!7.17!5 3721.07!75

1101 4382.5085 4188.!!3124102 4!!.7474 4!38.83101

1206 5040.433 5155.754025

!ertes diférées totales

x 1ere amil&e Qamille

/ 1743.! 17028.24411 17233.72

?03 18405.3! 1808!.02!2 18245.711

30 1774.3 18473.7372 18134.0!

1101 21522.248 21428.4!78 21475.358

102 2345.308 23501.353!7 23480.331

1206 24851.188 25015.045 2433.117

K1 Ca=le 1 Ca=le & Ca=le ? Ca=le

!ertes d;es a; ;age d; =éto

!ertes d;es la relaxation


54/214

0 0.310785 0.141!722 0.880257 0.88438233.7 0.31!80 0.15115208 0.872714 0.8815022227.4 0.30455 0.171058 0.002544 0.8850328

11.1 0.35!85 0.3033415 0.174428 0.0!84!47214.8 0.477237 0.458!7354 0.347!2 0.34313118.5 0.53233 0.5834!!43 0.5348!1 0.3833800

Ks1 Ca=le 1 Ca=le & Ca=le ? Ca=le

0 0.8212135 0.804302204 0.7881!07 0.774534783.7 0.8157322 0.71!!57 0.7813228 0.7!5553537.4 0.81884! 0.805010071 0.788154 0.77233273

11.1 0.80384! 0.7475025 0.781858 0.7712!25814.8 0.73! 0.78080548 0.71!84 0.78715232!18.5 0.7!!787 0.80171403 0.7!30 0.7817827!

K1 K2 Ks1 Ks20 0.07 0.810 0.77 0.!4!

3.7 0.07 0.810 0.71 0.!377.4 0.08 0.812 0.74 0.!41

11.1 0.22 0.833 0.787 0.!30

14.8 0.37 0.85! 0.78 0.!3418.5 0.51 0.877 0.74 0.!41

:$i(THm+)

x Ca=le 1 Ca=le & Ca=le ? Ca=le

/ 315.54878 342.3328 3!8.015 38.!453248?03 324.2453 350.5454522 378.87025 403.018!5530 31.30!83 341.2!!381 3!8.02518 32.187545

1101 342.874! 357.5558083 378.0128 34.835!14102 34.32274 352.2!385 3!2.41458 3!.!1!5772

1206 354.44!! 34!.3788722 354.0437 378.1400773


55/214

Ca=le 6 Ca=le 5 Ca=le 3 Ca=le 2

0 0 0 0

2!4.21 23!7.711 2041.1302 1714.543!5388.5837 4735.4221 4082.2!04 342.08738082.875! 7103.1331 !123.30! 5143.!48034.48 110.0314 81!4.5208 !858.1745

81.1828 !25.!108 270.0388 8572.74!82


0 0 0 015185.417 0 0 01112.44 12407.881 1301!.301 1!25.08387200.470! 8557.!3!5 08!.0822 12!3.2713207.75 4707.321 5155.8!38 127.51038

0 857.1478 1225.!454 55!1.723!5

ation instantanée d; =éton s;ite a ;ne ,.arge "ermanente

Ca=le 6 Ca=le 5 Ca=le 3 Ca=le 20 0 0 0 0 0

-238.43 -212.5181 -185.35434 -157.50283 -!.875415 -282.7!35-45.031 -414.0138 -30.4028 -315.17758 -127.774332 -!30.555-1351.73 -1240.707 -1200.332 -74.!3! -1!8.3034!8 -850.025-18!1.4 -174!.25 -1712.551 -1423.843! -12.34!82 -71.4!23

-2124.033 -2048.!8 -2027.580! -1747.2!47 -200.3!1271 -1011.4

en "ré,ontrainte

0 0-!.875415 -282.7!35-127.774332 -!30.555-1!8.3034!8 -850.025

-12.34!82 -71.4!23-200.3!1271 -1011.4

stantanées totales


s:6>sA>:cA:>626m6 fmCC6

S:6>sA>:cA:>6 16>6 f


56/214

0 0 0 0 1750.383 1003.!1717!40.714 0 0 0 1755.1!85 10034.83151!744.488 17351.28 17330.158 15.0052 1770.2833 101.71!714885.80 15374.48 14!3.515 1781!.7447 15535.3482 111454.!51812340.282 13!70.1 13207.535 1!1!1.!05 13113.171 11387!.820

453.058 10030.025 100!4.05 1383.1521 102.54!4 11!0!0.453!

T6s= >6sAA6 C=g A6>m6

P(Tf;m)

Ca=le 1 Ca=le & Ca=le ? Ca=le Ca=le 6 Ca=le 5

0 108514. 105830.45 1032!8.184 101105.242 - -

3.7 1083!.0 10573.5 10207.021 100403.8! 103320.!101 -

7.4 108405.12 10!208.84 103533.281 101117.044 104087.583 103480.8

11.1 108841.4 10737!.11 10532.758 103!47.73 104!1.3!88 104472.!8

14.8 10!52.21 10357.54 108343.023 107!22.823 10!815.331 105485.3118.5 110178.2 1100.5 110218.53 107814.383 1018.555! 108!21.!3

Coe,ients ,o;rt terme

Ca=le 6 Ca=le 5 Ca=le 3 Ca=le 2 Ca=le 1

:$l

$J


57/214

0 0 0 0 0 0.84!!1770.088!8! 0 0 0 3.7 0.84752130.14514! 0.10!1 0.108251 0.840372 7.4 0.84!41830.2!2237 0.231451 0.257342 0.07757 11.1 0.8535270.42258 0.338773 0.3!7!4 0.1818!57 14.8 0.87158550.!04483 0.5!8138 0.5!54 0.311022 18.5 0.87850

Coe,ients long terme

Ca=le 6 Ca=le 5 Ca=le 3 Ca=le 2 Ca=le 10 0 0 0 0 0.!818202

0.7431 0 0 0 3.7 0.!735840.781354 0.743128 0.74445 0.777!5812 7.4 0.!782!

0.71230! 0.788152 0.707411 0.7727!!! 11.1 0.!557!0.742081 0.785825! 0.7887447 0.7701348 14.8 0.!40530.8028!07 0.722!3 0.7011 0.77432272 18.5 0.!45018

s 2.11 #N P11>6 fmCC6 P= (#N) 8.47! 0 7.!872m6 fmCC6 P= (#N) 8.47! 3.7 7.!87

, 0.001!!8 7.4 7.!!11.1 7.81!

14.8 7.4518.5 8.0!2


0 0 0 034!.!85 0 0 0348.30515 358.2502 358.0388 384.!8744333.5548 3!8.02!! 3!3.183 32.452125337.!875 371.722!3 3!7.08888 3!.!2!31

32.5444 350.45071 350.70! 38.818


58/214

16 fmCC6

26 fmCC6

:$g

x Ca=le 1 Ca=le & Ca=le ?0 0 / 0 0 0

-212.5042 -142.2448 ?03 -5!.4!4 -1015.37 -71.1713-!1!.577 -!02.18! 30 -174!.7!! -2243.01 -2221.713

-850.025 -850.025 1101 -224.!8 -27!.415 -27!.415-71.4!23 -71.4!23 102 -2!22.501 -3401.!17 -3401.!17

-1011.4 -1011.4 1206 -2731.772 -3543.351 -3543.351

0 0-212.5042 -142.2448-!1!.577 -!02.18!

-850.025 -850.025

-71.4!23 -71.4!23-1011.4 -1011.4

A6s= AC6 >=bbC6

P(Tf;m)

bC6 1 bC6 2 bC6 3 bC6 4 bC6 5 bC6 !

mCC6


59/214

0 112874.82 11010.37 107!28.11 1054!5.17 - -3.7 11270.44 110340.85 107508.37 105005.21 1034.2 -7.4 112853.72 110!57.43 10781.88 1055!5.!4 110245.51 10!38.71

11.1 114222.5 11275!.!7 110710.32 10028.2 112104.1 111!15.514.8 115517 115222.37 114207.85 113487.!5 114!4.72 11331.0

18.5 11!31.72 117203.3 11!431.75 114027.18 11753!. 11!!0

Ca=le 3

-

-

103501.3

104883.!!

10548.!8108587.!

K2Ca=le & Ca=le ? Ca=le Ca=le 6 Ca=le 5 Ca=le 3 Ca=le 2


60/214

0.8212508 0.77038! 0.77!57 0 0 0 00.822!728 0.75071 0.7722533 0.813303 0 0 00.825!!44 0.800381! 0.777542 0.821771 0.81!037 0.81!237! 0.710550.8455012 0.82!1!41 0.8102!7 0.83335! 0.8347177 0.838!013 0.811!350.8!8801 0.852143 0.8524087 0.8!3387 0.850815 0.85514! 0.827270.88752 0.880222 0.857507 0.80!724 0.885220! 0.88481 0.8478!53

Ks2Ca=le & Ca=le ? Ca=le Ca=le 6 Ca=le 5 Ca=le 3 Ca=le 2

0.!5!4533 0.!322411 0.!118022 0 0 0 00.!4874 0.!21842 0.583304 0.!4237 0 0 00.!575151 0.!322323 0.!03 0.!472031 0.!414!1 0.!41!!88 0.!1!4872

0.!421254 0.!227883 0.!0!83 0.!3!84! 0.!322281 0.!3!1117 0.!0140.!471208 0.!375341 0.!307285 0.!413122 0.!287384 0.!33117 0.!0520230.!52!871 0.!453!3 0.!22!742 0.!54211 0.!48834 0.!48517 0.!114841

P2 Ps1 Ps2!.8! 28.88! 24.!81!.8!8 28.788 24.535!.882 28.84! 24.!217.0!2 28.71 24.80

7.25! 2.274 25.2!37.431 2.585 25.730


61/214

PF,SE1 PF,SE2 PF,Af;m T+ 6>A6s PF1 PF1 P6>A6s PF2 PF2 6>A6s PF2bC6 1

bC6 2bC6 3

bC6 4bC6 5bC6 !bC6 7

bC6 8

(THm+)(total)

Ca=le Ca=le 6 Ca=le 5 Ca=le 3 Ca=le 20 0 0 0 - !35.!8!3!

-5!!.4!1 -238.43 -212.5181 -185.3543 - 71!.75104-2200.407 -45.031 -414.0138 -30.402 -315.177! 580.51271-27!.415 -1351.73 -1240.707 -1200.33 -74.!3! 207.44183-3401.!17 -18!1.4 -174!.25 -1712.55 -1423.844 -18.31088

-3543.351 -2124.033 -2048.!8 -2027.581 -1747.2!5 -!1.0!43

bC6 7 bC6 8

1 f s:66C1>6

fmCC6 s:>6CC6-mm6


62/214

- 1003.!2- 10034.8310!5.84 0 10514.!811202!.48 10173.2! 111454.!5113782.47 110828.3 11387!.82

11!25.5 11300!.85 11!0!0.45


63/214


64/214

SE3 PF,SE4 PF,SE5 PF2 P6>A6s PF3 PF3 P6>A6s PF4 PF4

153.5315 153.5315278.058! 278.058!4!80.008 4!80.008475.145 475.14550!5.8724 50!5.8724

5174.307 5174.307

26m6fmCC6 s:>

16>6fmCC6


65/214


66/214


67/214

L 37>cA>sAB:6s >6c=A>A6s

g 4 P= 12!0gh 1.85 ,(mm) 1!!8gs 0.72 P0(Tf) 211.8132

Vg(cm) 8.13.875 16 fmC 4

26 fmC 40.7!041!7 ,(m) 0.001!!8

12T13(Tf) 148.3Vg(cm) 7.1

,>mA:>6s ssv6sf6 50000


68/214

bC6 1 bC6 2 s

0 40.23741 -150.80408 0 245.45871.85 444.!841 -15.74514 1.85 323.74133.7 !0.4337! -1!1.8734132 3.7 522.30128

5.55 525.34813 -1!7.08!5884 5.55 43.22!54

7.4 52.177 -170.488143 7.4 520.3382.25 530.50222 -171.!7!4852 .25 530.4!5111.1 530.50313 -171.!773013 11.1 530.50313

12.5 530.50313 -171.!773013 12.5 530.5031314.8 530.50313 -171.!773013 14.8 530.50313

1!.!5 530.50313 -171.!773013 1!.!5 530.5031318.5 530.50313 -171.!773013 18.5 530.50313

hP=Ds >=>6 =:A>

# s 0 0 0 0 0

3.7 24!.42 -370.!70472 330.112111 3.77.4 438.08 -!5.01!728 58!.87857! 7.4

11.1 574.8 -8!4.577!8 770.278153 11.114.8 !57.12 -88.525452 880.3178!4 14.818.5 !84.5 -102.71402 1!.78087 18.5

0

3.77.4

11.114.818.5

, 7 @=:>ss)*s ,)+s ,r),re

s=:s P1 s=: s

0 !.15! 2.!57 0 5.583.7 13.723 0.441 3.7 11.0!7.4 11.41 0.0! 7.4 .804

11.1 10.04 1.3!1 11.1 8.31314.8 .224 2.334 14.8 7.!2518.5 8.! 2.!40 18.5 7.40


69/214

, 1! @=:>s

s)*s ,)+s ,r),re /)*r+s

s=:s P1

s(J92"3) s(J92"!) Js0 5.42 2.321 0

3.7 .74 4.084 1.457.4 .!32 !.847 3.335

11.1 13.034 7.50 0.87114.8 15.232 7.07 -1.83518.5 15.483 7.307 -2.288

S=:s c=mbs=s >>6s

s)*s ,)+s ,r),re /)*r+ss*,erstr*ct*re

s=:s P1 s(J92"3) s(J92"!)

0 542.34!2 232.100474 03.7 12.!057 433.4112288 22.54817.4 800.22411 725.!15375 3!.554272!

11.1 100!.0444 843.153142 212.73!018!14.8 112.88! 840.18045 3.!7335!18.5 1124.05! 872.185054 -25.82113

S=:s c=mbs=s f>B:6A6s

%11 0.!

S)*s #)+s #r),re /)*r+s 11s*,erstr*ct*res*rc/ar

s=:s P1 s(J92"3) s(J92"!)

0 542.34!2 232.100474 03.7 752.0452 521.878775 344.1!!137.4 517.341! 882.3141! !01.0385

11.1 !24.!3!3 1054.43!854 488.442752714.8 !!8.5484 105.75215 337.4523118.5 !34.35!1 1143.45!307 328.1!3222

S=:s c=mbs=s B:s-6>m6A6


70/214

%11 0

S)*s #)+s #r),re /)*r+s 11s*,erstr*ct*res*rc/ar

s=:s P1 s(J92"3) s(J92"!)

0 542.34!2 232.100474 03.7 12.!057 433.4112288 22.54817.4 800.22411 725.!15375 3!.554272!

11.1 100!.0444 843.153142 212.73!018!14.8 112.88! 840.18045 3.!7335!18.5 1124.05! 872.185054 -25.82113

,>mA:>6s ssv6s

,>mA:>6s D6 6:P9 8,(cCc:C) 24 cm2,(ch=s) 34 F,10 &5025,m&AsH* /0//1?22

,>mA:>6s D6 A>cA=,s9 11 F,14 1!.4 m

! F,12 !.78


71/214

>cA6>sAB:6 b6A= >cA6>sAfc28 4000 fA28 240.!

d1 7fc@ 2!4.00!! fA@ 218.404 hAbC6

c@ 158.404 A@ -153.2583 hAbC6-m6c@ 1324.5033 A@ -328.410! hD

@2 1! b0fc@ 3547.!718 fA@ 272.8!031 bc@ 2128.!031 A@ -11.0022 bAc@ 1773.835 A@ -40.205 h

hAh1

@2 28 h2fc@ 4000 fA@ 300 hDc@ 2400 A@ -300 c@ 2000 A@ -450 '

v-hD 0.78715! I"7Ix(m)0.8533333 S

0.0003!14 0.3522182 $

0.0008432 0.35!02 $

c=6f D'6B $


72/214

bC6 3s s 0.7133!!8 0 5!.21385 152.317!7 0-!2.37404 1.85 202.8885 34.702 1.85-5.4872 3.7 435.1!881 -2.12403 3.7-138.4811 5.55 4!1.1045 -10.8757 5.55

-1!3.1555 7.4 512.!8785 -155.8121 7.4-171.!714 .25 530.407 -171.!!!3 .25-171.!773 11.1 530.50313 -171.!773 11.1-171.!773 12.5 530.50313 -171.!773 12.5-171.!773 14.8 530.50313 -171.!773 14.8-171.!773 1!.!5 530.50313 -171.!773 1!.!5-171.!773 18.5 530.50313 -171.!773 18.5

>g6s 6>m6A6sP=Ds >=>6 h=:>Ds P=Ds >=>6 s:6>sA>:cA:

# s # 0 0 0 0 0 0

113.!25 -171.4474 152.!801352 3.7 44.355! -!!.72547202.!12 -304.753 271.4313514 7.4 78.8544 -118.!231

2!5.2825 -400.043 35!.253!487 11.1 103.4!4 -155.!28303.18 -457.13 407.1470271 14.8 118.281! -177.34!

31!.58125 -47!.2427 424.11148!5 18.5 123.21 -185.3485

S:>ch>g6 # s

0 0 0223.28 -2!!.1!1 12.40443! 37.047235.5 -471.4702 340.805432

533.25 -!35.!802 45.5112235!45 -7!8.858 555.808230

!84.!5 -81!.1!21 58.753571

eri,ation des ,ontraintes en ,onstr;

s)*s ,)+s ,r),re /)*r+s

P2 s=:s P1s s

2.303 0 !.15! 2.!57 00.722 3.7 12.00 1.!8 3.70.!77 7.4 8.371 2.783 7.4

1.!7 11.1 !.04 4.23 11.12.877 14.8 4.!52 !.40! 14.83.153 18.5 4.234 !.882 18.5


73/214

s=:s P2

s(J92"3) s(J92"!) Js0 4.50 1.78 0

3.7 !.8!! 4.3!0 1.7417.4 !.283 7.4!7 2.8

11.1 8.50 8.484 0.77!14.8 11.514 8.230 -1.!7518.5 11.2!3 8.408 -2.10

En ex"loitation

s=:s P2 s(J92"3) s(J92"!)

0 450.8510! 17.824257 0 03.7 !1.7844 450.0813!!8 1!.043 3.77.4 443.110! 7!!.1!43117 340.!8272 7.4

11.1 52!.74!5! 13.205477 10.2048 11.114.8 51.3288 50.3040173 34.5047!3 14.818.5 582.!3015 87.5!771 10.840!1 18.5

x

03.7

ge 7.411.1

s=:s P2 14.8 s(J92"3) s(J92"!) 18.5

0 450.8510! 17.824257 03.7 4!0.087 538.541155 312.3470!7.4 1!0.22855 22.8!88738 545.1!844

11.1 145.33845 1125.20425 4!5.117214.8 130.05537 1205.8!5187 3!7.8718.5 2.3207 1258.8!8225 3!4.!28


74/214

ge

s=:s P2 s(J92"3) s(J92"!)

0 450.8510! 17.824257 03.7 !1.7844 450.0813!!8 1!.0437.4 443.110! 7!!.1!43117 340.!8272

11.1 52!.74!5! 13.205477 10.204814.8 51.3288 50.3040173 34.5047!318.5 582.!3015 87.5!771 10.840!1


75/214

B:6s g6=m6A>B:6sS/R : E A>v6

0.2 C>g6:> AbC 1.5 hAbC6

0.05 6m6 0.8 hAbC6-m60.2383333 6h=:>Ds 0.25 hD

&>:A61.5 b0 1.5 b00.8 b 0.8 b0.! bA 0.! bA2.3 h 2.55 h

0.355 hA 0.355 hA0.41 h1 0.41 h10.15 h2 0.15 h2

0.2383333 hD 0.4883333 hD1.02543 1.08872 1.274507 ' 1.4!1208 '

0.8124 I"7Ix(m) 1.300!! 0.78715!355I"7Ix(m)1.358333 S 2.3108333 0.8533333333S0.3522741 0.35!0705

N6AA61.0251315 ' 1.2748!85 -0.000525!835 0.8880252 S 1.21!13 0.3524!3454 $

,c>g6 11.087488 ' 1.4!20512 5.508588E-005 1.305133! S 2.3041!13 0.35!2128! $

c>g6 1h=m=g66

:vC6c6 5'S 1.!25213

Contraintes


76/214

bC6 4 bC6 5 s s-131.!15 303.218 0 0 081.85572 132.3!85 1.85 0 0348.03!33 -24.58141 3.7 0.!133!4 214.015228153!0.5525! -81.27025 5.55 147.178!1 107.4!1!8811

41!.8715 -148.4!88 7.4 250.3301! 32.8!588343!.313 -171.!!12 .25 32!.31725 -22.031442872

43!.33277 -171.!773 11.1 375.1387 -57.323!281543!.33277 -171.!773 12.5 3!.7802 -72.7557843!.33277 -171.!773 14.8 378.754 -!0.11220502!43!.33277 -171.!773 1!.!5 378.754 -!0.11220502!43!.33277 -171.!773 18.5 378.754 -!0.11220502!

16>6 fmCC6

>6 , c=:>A A6>m6 P1 ,s s

0 0 !15.55557 2!5.73457 05.421458 3.7 1743.023 -28!.0074 3.7105.!3815 7.4 1800.822 -580.02! 7.4138.!5007 11.1 1874.3823 -!34.208 11.1158.45722 14.8 110.85! -!4!.8812 14.81!5.05!1 18.5 12.3545 -!52.583 18.5

, C=g A6>m6 P1 , s

0 542.34!2 232.1005 03.7 1520.883 -24.384 3.77.4 1578.70 -508.5147 7.4

11.1 15.43! -541.1022 11.114.8 1!11.2073 -545.34! 14.818.5 1!11.8852 -545.4503 18.5

tion

s=:s P2 s

5.58 2.30310.12 2.24!.75! 3.31

4.313 5.523.053 !.482.728 7.34


77/214

)*s #)+s #r),re /)*r+s s*,erstr*ct*res*rc/arge

s=:s P1 s=: s(J92"3) s(J92"!) 542.34!2 232.1005 0 0 450.8510!!4!.43!88 !15.277 421.5344 3.7 353.!2035328.75387 84.1414 737.3!382 7.4 -28.3555

370.3!423 103.57!8 !72.24724 11.1 -108.33!3!0.01! 8.03521 55.77!22 14.8 -177.503307.8478 103!.0413 5!4.15337 18.5 -233.531

's(m) *t(m+) $*t(M!a) N*t(MN) As(,m+) As(,.oisi)

0.027 0.01! 233.53 3.7! 1.13 0 00.072248 0.047534 233.5312 11.10 3.3274420.1142422 0.0!85453 233.5312 1!.01 4.781732 4F,12 4.520.135!81 0.0837408 233.5312 1.5! 5.8!18584 4.52

;1000_=_ +_/_


78/214


79/214

0.2 C>g6:> AbC 1.5

0.05 6m6 0.80.2383333 6h=:>Ds 0.25

&>:A61.5 b0 1.50.8 b 0.80.! bA 0.!2.3 h 2.55

0.355 hA 0.3550.41 h1 0.410.15 h2 0.15

0.2383333 hD 0.48833331.02543 1.088721.274507 ' 1.4!1208

0.8124 I"7Ix(m) 1.300!!1.358333 S 2.31083330.3522741 0.35!0705

6AA61.02!0187 ' 1.273813 -0.000!070.8880252 S 1.27433 0.444!!0!

,c>g6 21.08873! ' 1.4!12!31 0.000!1!1.305133! S 2.302433 0.433057

c>g6 2


80/214

bC6 ! bC6 7 s s

0 0 0 0 0 01.85 0 0 1.85 0 03.7 0 0 3.7 0 0

5.55 5.1058722 210.1!11! 5.55 0 0

7.4 137.!2441 114.3!808 7.4 -!.82428 218.78877.25 242.784 38.2112!3 .25 127.81!4 121.4035711.1 321.1!81 -18.303 11.1 235.44824 43.!54!22

12.5 372.1325 -55.13!2 12.5 315.84037 -14.4580714.8 3!.0533 -72.441!8 14.8 3!.0!804 -52.3452

1!.!5 32.75014 -70.0534 1!.!5 35.13125 -71.7747118.5 378.754 -!0.11221 18.5 378.754 -!0.11221

=:>A A6>m6 P2 , c=:>A A6>m6 P1 s s55.7824 230.2!77 0 0 015!1.3173 -257.185 3.7 0.5574!8 14.511731!3.3728 -51.17! 7.4 348.043!2 333.517171!!.2!02 -573.!233 11.1 !.0084! 87.124121751.0302 -52.!317 14.8 1357.!!!1 -183.50231778.7185 -!01.7473 18.5 1442.3781 -228.7733

C=g A6>m6 P2 , C=g A6>m6 P1 s s450.8510! 17.8243 01228.2!53 -203.814 3.7 0.487!084 170.12754127.!32 -411.07! 7.4 303.!885 20.1!13

1283.84!1 -433.!32 11.1 827.30127 74.08551301.477 -440.4018 14.8 1142.3318 -154.4821302.5145 -440.4854 18.5 1203.477 -10.881!


81/214

P2s(J92"3) s(J92"!) Js17.8243 057.527!1 38.308831027.338! !81.422! 0.02!8!33

12!!.0!01 !4.71!2 0.072248137!.233 50.312 0.1142422143.7157 !00.542 0.135!81

;∗_ _


82/214


83/214

hAbC6 0.2 C>g6:> AbC 1.5

hAbC6-m6 0.05 6m6 0.4hD 0.231!!!7 6h=:>Ds 0.25

&>:A6b0 1.5 b0 1.5b 0.4 b 0.4bA 0.! bA 0.!h 2.3 h 2.55hA 0.355 hA 0.355h1 0.41 h1 0.41h2 0.15 h2 0.15hD 0.231!!!7 hD 0.481!!!7 0.38855 0.850174' 1.30!1145 ' 1.5!482!I"7Ix(m) 0.71!782 I"7Ix(m) 1.07583S 1.2458333 S 1.!208333 0.44321 0.4320801

0.4421 ' 1.305507 $ 0.713455 S 1.2358253

,c>g6 0.844014 ' 1.5!558! $ 1.075183 S 1.!108253

c>g6


84/214

bC6 8 s

0 0 01.85 0 03.7 0 0

5.55 0 0

7.4 0 0.25 -18.4331 227.5454811.1 117.8028 128.5!815

12.5 227.734 4.22707214.8 310.3340! -10.47775

1!.!5 3!5.7!42! -50.54!3218.5 378.754 -!0.11221

6m6 fmCC6

, c=:>A A6>m6 P2 s

0 0 03.7 0.488771 174.05227.4 312.44!5 28.4!14

11.1 87!.157!2 77.5!25!14.8 125.!34! -1!7.472118.5 132.7725 -210.131

, C=g A6>m6 P2 s

03.7 0.34044! 137.48247.4 245.1405 235.04457

11.1 !!3.5!84 51.5541214.8 13.54821 -123.52518.5 71.4208 -154.0755


85/214


86/214


87/214

hAbC6 0.2 C>g6:> AbC 1.5

hAbC6-m6 0.05 6m6 0.4hD 0.231!!!7 6h=:>Ds 0.25

&>:A6b0 1.5 b0 1.5b 0.4 b 0.4bA 0.! bA 0.!h 2.3 h 2.55hA 0.355 hA 0.355h1 0.41 h1 0.41h2 0.15 h2 0.15hD 0.231!!!7 hD 0.481!!!7 0.38855 0.850174' 1.30!1145 ' 1.5!482!I"7Ix(m) 0.71!782 I"7Ix(m) 1.07583S 1.2458333 S 1.!208333 0.44321 0.4320801

-0.000!07 0.442 ' 1.30550710.4452!15 $ 0.713455 S 1.2341573

30.000!1!7 0.844007 ' 1.5!5530.4335447 $ 1.075183 S 1.!01573

3


88/214


89/214


90/214


91/214

hAbC6 0.2 C>g6:> AbC 1.5

hAbC6-m6 0.05 6m6 0.4hD 0.231!!!7 6h=:>Ds 0.25

&>:A6b0 1.5 b0 1.5b 0.4 b 0.4bA 0.8 bA 0.8h 2.3 h 2.55hA 0.425 hA 0.425h1 0.35 h1 0.35h2 0.25 h2 0.25hD 0.231!!!7 hD 0.481!!!7 1.0725442 1.0!142!4' 1.2274558 ' 1.488573!I"7Ix(m) 0.8231555 I"7Ix(m) 1.245!382S 1.3448333 S 1.718333 0.4!4352 0.4584008

-0.0108!854 1.0834141 ' 1.21!585 0.4!0812431 $ 0.8087227 S 1.331483,c>g6 4 -0.0084812108 1.0!07! ' 1.480024 0.454543222 $ 1.241581 S 1.70!483 c>g6 4


92/214


93/214


94/214


95/214

hAbC6 0.2 C>g6:> AbC

hAbC6-m6 0.05 6m6hD 0.231!!!7 6h=:>Ds

&>:A6b0 1.5b 0.4bA 0.8h 2.3hA 0.425h1 0.35h2 0.25hD 0.231!!!7 1.0725442' 1.2274558I"7Ix(m) 0.8231555S 1.3448333 0.4!4352

-0.011!51 1.084147 ' 0.438! $ 0.8087058 S,c>g6 4 -0.0084 1.0703755 ' 0.4847428 $ 1.241581 S c>g6 4


96/214


97/214


98/214


99/214

1.5

0.40.25

b0 1.5b 0.4bA 0.8h 2.55hA 0.425h1 0.35h2 0.25hD 0.481!!!7 1.0!142!4' 1.488573!I"7Ix(m) 1.245!382S 1.718333 0.4584008

1.21580531.2422!81

1.47!2451.!172!81


100/214


101/214


102/214


103/214

f6g 147! EP 10000

X7/ HP P-0.23157 1155.13 0.0000 70.837

70.837 -0.0010 77.2!7

77.2!7 0.0000 ,L/E,L/E 0.0000 ,L/E,L/E 0.0000 ,L/E,L/E ,L/E ,L/E,L/E ,L/E ,L/E


104/214


105/214

B!/ X72 HP@@@ -0.17!!5 1155.1304 0

70.8371 -0.000!,L/E 3.31E-005

,L/E -1.2E-00!,L/E 4.41E-008,L/E ,L/E,L/E ,L/E

HP(I+) P(HP)-0.108! -3782!.3


106/214

P x73& HP70.8371 -0.1817 1155.1304 0

,L/E 70.8371 -0.000!,L/E ,L/E 3.31E-005

,L/E ,L/E -1.2E-00!,L/E ,L/E 4.41E-008,L/E ,L/E ,L/E,L/E ,L/E ,L/E

HP(I+) P(HP)-0.17!!5 -335!5.2!


107/214

P x745 HP70.8371 -0.12188 1155.1304 0

,L/E 70.8371 -0.000!,L/E ,L/E 3.31E-005


HP(I+) P(HP)-0.1817 -3544.0


108/214

P x71& HP70.8371 -0.188715 1155.1304 0.0000

,L/E 70.8371 -0.0010,L/E ,L/E 0.0000

,L/E ,L/E 0.0000,L/E ,L/E 0.0000,L/E ,L/E ,L/E,L/E ,L/E ,L/E

HP(I+) P(HP)-0.12188 -3!515.78


109/214

P x75 HP70.8371 -0.210274 1155.1304 0

,L/E 70.8371 -0.000!,L/E ,L/E 3.31E-005


HP(I+) P(HP)-0.188715 -35855.7!


110/214

P70.8371

,L/E,L/E

,L/E,L/E,L/E,L/E

HPm(I+) P(HPm)-0.210274 -352.0


111/214

fc28 35 g(KN) 20 P0(#N) 7.3h(m) 0.8 gs(KN) 3 B 12b(m) 1 v 0.4 ,(mm2) 111!L(m) 24 v' -0.4 5

ARMAT2RES TRANSVERSA3ES

ELS

g gs B 2.4 12 28.8 115.2 220.8 33!

C6:>s m 6A m D6 C'6O=>A A>chA 9h;2 c--D 90"4m,>s C v>cA= C'ELSC'6sc6m6A v>6>. +C6s 6sc6m6As c6ss>6


112/214


113/214

500

%&S %&U

1 S+/S P2 s=:s Pmmax m m min max

7.8!2 11.!73421 11.75821 .70!5414 .!74214

Ured U>6D3 2!.80 22.7220853578

$x :73114 -358.1!!25!71 -2!.!54!21!32

A A:

0 0U U:

03!1 2!.801!8883 22.7220853578U1 WSTIQICATION -ES ARMATRES TR

2 E>>Q502 e:cC e:ch=s& ErrV6/& -4.354!83 0.523588

,A;SA(cm;m)238.3413338407

,A5 F,12 5.!5

SA(m)G90.02370547

!ORCENTAE MINIMM -FARMAT

,A;SA(cm;m)7.5!7

SA(m)G90.74!!!3142!

ESP,E#ENT #,` SA 0.!4

SA9m(0"880"7!0"!4) 0.0237055

= ch=sA D=c D6s ,D>6s F,12 6scs D6 50 cm.

L >6m_>6 c=D

L D6:_m6 c

L A

6s


114/214

"m

-237.3237

ANSERSALES

RES

A= v>6>

DA= v>6>

>=s_m6 c=DA= v>6>


115/214

b0 1.5b 0.4

bA 0.!h 2.3hA 0.355h1 0.41h2 0.15hD 0.231!!!7

J2 0.38855' J1 1.30!1145

I"7Ix(m) 0.71!782S 1.2458333

P6>m6A>6 8


116/214

hAbC6 0.2 C>g6:> AbC 1.5hAbC6-m6 0.05 6m6 0.4hD 0.231!!!7

cs6s @:6vC6:>s m=D6>


117/214

L1 1.5 Wm=J 0.24434!05L 37 W1 0.02134585 3.875g"1 5.! W2 0.15351377g. 1.85 W3 0.2804711!2gs 0.72 W4 0.38815!42 xg"& 4.1225 W5 0.34!8!3!22 /

A * C 104,a=le 1 -0.00115 0.021378 1.0!!11443 &01,a=le & -0.00831 0.1547312 0.44!11443 ?04,a=le ? -0.015487 0.2880!45 -0.17388551 01,a=le -0.022!5! 0.421378 -0.7388551 604,a=le 6 -0.01571! 0.3!14783 501

304

201

1206

d:sAcA= C >6

>cA>sAB:6s g=mA>B:6s$(m4) 0.81 $(m4)S>(m3) 0.572 S>(m3)b 0.7!0 b

6O=>A A>chA >6D:A A>6DS=:s P1 S+/S P2-!0.45 -42.27

U>6D -51.042 -35.!4

=A>A6s 23.08U1(b>>6) 10.488U2(b>>6) 27.!!U(b>>6) 10.488 +K

6>cA= >6s c=

6O=>A A>chA >6D:A A>6DS=:s P1 S+/S P2-2!.234418 -8.05382834

U>6D -22.14820! -!.7382!8 +K

6>cA= C D6:_m6 ms6 6

S:> :

>cA>sAB:6s g=mA>B:6s


118/214

$(m4) 1.305133! $(m4)S>(m3) 0.7!18858 S>(m3)b 0.755 b

6O=>A A>chA >6D:A A>6DS=:s P1 S+/S P2

-2!.234418 -8.05382834U>6D -22.14820! -!.7382!8 +K

s C s6cA= D'c>g6 D: cbC6A 2.1

6O=>A A>chA >6D:A A>6DS=:s P1 S+/S P2-34.142273 -17.83223

U>6D -51.112434 -2!.!5!18 +K

6>cA= C=g A6>m6

=A>A6s 22.805U1(b>>6) 233.23481U2(b>>6) 384.1317U(b>>6) 233.23481

S:> :

6O=>A A>chA >6D:A A>6DS=:s P1 S+/S P24.270!41 110.87!15

U>6D 3.2824!!7 85.314801 +K

,L/L ES ,R#,R/RES T

X T;r(!1) T;r(!&)

/ 15.!831 187.!4!51147!5?03 141.434012 1!8.8!334121!230 2.30!71 122.50404!!21

1101 10.1823!5 131.8723!37481102 158.!502713 1!!.3!82078!81206 0 0

,A 1 cD>6 F,10


119/214

1 cD>6 F,12

C> 2.3 @

cbC6 1 D1 0.48 173.4887!8571cbC6 2 D2 0.!2 170.3!!745214cbC6 3 D2 0.!2 1!!.47!!4438cbC6 4 D4 0.4 1!4.0!1434258

>6AAg6 D6 s:>fc6

,s(cm) ".0456455F,8 ".74F,10 6.1!

EB:Cb>6 g66>C D6 DO:s=6 c=sA>:cA= 6C=AA=s: 2!5.73457 s:f !15.55557 f U 134.42821 U

vC6:>s >6A6:6ss: 2!5.7345!57f !15.5555708U 134.4282123

(A) 152.0!0 *A U(A) -102.8575 A `(A) !0.83843! A

T(A) -27.422!! A3 R21 53.233!31 A R21' -30.85724 A3 R22 -15.20!0 A R22' !.85731!5 A3

armat;res dFeq;ili=re ge

, 9s:> :6 C=g:6:>


120/214

N,T/RE SET$+N #$N$#,LE,S ?015

,6 506&?/2&22&1,c 501??5616&/?,( >@=:A6> -3.544313!18

>6cA= v6>AcC6 R: 2.3275>6cA= h=>=AC6 h: 0

6O=>A A>chA >6D:A T:">6D 140.1!33320715c=A>A6 =>mC6 D6 c=m>6ss= 315.7384484!1

U:">6D 118.331815847Y;(,al,;l) 18.42!8055327

Y;(,.oisi) 300.52358775!R6ch6>ch6 D: >g >

SP$*+S 725.4784233

K iX(Z)1 5!.25717101572 34.310152013 20.55478002!

D=c >9 3 6A

+ b6 >G

i1,6,6Cm(cm)

i2,6,6Cm(cm)

i3,6

,6Cm(cm)

i4


121/214

,6,6Cm(cm)


122/214

EQQRT TRANC[ANT !O

!o;tre Tg .o;rdis T. s;"erstr;,t;re Ts

8.77 34.225 10.7

2.!2 30.71 10.31.55 30.34 10.3382.57 27.01 .3281.82 2!.!4 .2!72.47 23.31 8.4871.78 22.4 8.44

!2 1.!1 8.1!1.18 1.24 7.812.7! 0 2.54

6>cA= C'6AA CmA6 D6 s6>vc6 ELS

m_>6 ms6 6 >c=A>A6

0.808722!7!20.481320248

0.355

18.5S=:s P1 S+/S P20.000 0.0000.000 0.000

=A>A6s !44.7!U1(b>>6) 238.3!!U2(b>>6) 318.287U(b>>6) 238.3!! +K

Cg6 D6 C'h=:>sDs

>c=A>A6


123/214

1.241580542 $(m4)0.!!8211!!0! S>(m3)

0.355 b` 0

=A>A6s 288.!171352354

U1(b>>6) 225.3478!77U2(b>>6) 3!2.88207357!U(b>>6) 225.3478!77

U>6D

A 2.1=A>A6s

3!2.525214U1(b>>6) 255.028!!55127U2(b>>6) 40!.403724U(b>>6) 255.028!!55127

6O=>AS=:s P1

-3.5111!314U>6D -5.1480754

,NSERS,LES

U; !m $x;

133.48!7317 !11.154!412 2!5.23521!7311.25120!2 75!.38220411 328.2!70085282.588575!2 10!7.52!54!5772 4!3.30373274382.!3871!1 1200.!83!781!2 521.035885!3!

124.0!5521 120!.2507!35!45 523.50!8055!70 121!.0031834413 527.742205301

1.58 1


124/214

2.2! 1

Cc:C D

X@

1 @ 0.241.5 b 0.81.5 1"25fA@ 375

1 2;3*fc@ 2!!!.!!!!!!!!!7

>6AAg6 DA

bC6 1 113.247!!703cbC6 2 105.2!041143!8bC6 3 103.14745!745bC6 4 102.5383!4112#,` 113.247!!7036>cA= v6>

se,tion de rettageAe\

bC6 1 !.5230828821cbC6 2 5.2201!4073bC6 3 5.11!1381055bC6 4 4.218430277

:>6

232.1004735 A542.34!1! 0

107.3707!1 0.080.321

0.70.1.3

1.72!5.7345!573 2

23!.577418 A 2.1212.587!5258 A 2.3

4.!30!72 A #,`18!.0141!01 A csCC6m6A D: v10!.458381A

-53.14!13145 A-23.!577418A

eral

!.166!717" cm1.766666666


125/214

REP,RT$T$+>6s D6 C s:>fc6 D'b=:A

S:> 0"4ms:> 1"53m

d/ST$$,T$+N E L, &$ELLE

253.8827218!> 6sA6

8 1.777504647 m 8r 0.7

C D6sA6 D'>mA:>6 s6> m@=>6 >;> 2.!433404042

S+$T 8.27314707 cm= ch=sA 2 6A>6>s F,10s:> C C=g:6:> 1.02107!5 m

EZILI*RE - COIN INQERIER

0.4104!58!4! K 0.5 -78.0 8.2!

0.5001!10537K -112.04 8.2!

0.3074401K -57.45

8.2!

0.2201810415K


126/214

4.4! 8.2!


127/214

TRE(T) 1er

,.arge dFex"loitation Tq X Ca=le 1

!5.!5 / 17.2204118

!2.3 ?03 17.348008!1.2 30 17.1224825!.14 1101 1.01875!755.74 102 200.74!180451.!! 1206 201.133!351.384.58 1er47.73 X Ca=le 127.17 / 173.4887!

?03 172.78784130 173.4474027

1101 170.24!8102 1!.4420781206 1!8.75132

X(m) 1. 3. 5.$x(M!a) 3.43 3.83 !.0

U(=arre)(M!a) &06& &062 &03&Tred(so;s !1)(MN) -0.04 -0.1 -1.14Tred(so;s !&)(MN) 1.02 0.!7 -0.2U=(So;s !1)(M!a) >/0/5 >/0&2 >1054

U=(So;s !&)(M!a) >106 /044 >10?5

Cara,teristiq;es géométriq;es 09x91:7 1:79x914:7 x;14:7

I(m) 1.51! 1.32! 1.32!Sr(m?) 0.84 0.703 0.!53=n(m) 0.7!0 0.3!0 0.3!0


128/214

1.2415805420.!18428248

0.355` 2.1

=A>A6s 45.424!2

U1(b>>6) 251.41!807U2(b>>6) 385.!105!3U(b>>6) 251.41!807

s C s6cA= D'c>g6 D: cbC6 !A 4.1

6O=>A A>chA >6D:A A>6DS=:s P1 S+/S P2

-5!.0!11305857 -31.2157!1-83.25855038 -4!.84485175 +K

A=A>

U1(b>>6)U2(b>>6)U(b>>6)

s C s6cA= D'c>g6 D: cbC6 5A 2.1

>chA >6D:A A>6DS+/S P2

8!.0845233128.87!348442 +K

d/ST$$,T$+N $S--$S E L ET,

Y;(rad) Y;(P) Y;(reten;) AtHst(,m+Hm)

0.343280!84 22.533340!4 30 3.37728530!0.3141!1083 18.000104144 30 1.415!535

0.17123581!! .81108553 30 -1.75!01310.170807!285 .78!55!221 30 -0.74241040.222!1!45 12.7548355 30 2.5113!241

0 0 30 -10.0854432

6A>6> F,10 1.58 3.1!


129/214

6A>6> F,12 2.2! 4.52

6s b=:As D6 C =:A>6

cCA6m6Ac

452.18!!8154343.481342583433!.5880332537512.!18205!2512.!18205!2

v>

Ae

506&?/2&22&1

506&?/2&22&1

506&?/2&22&1

506&?/2&22&1

A `(A) T(A)0 0 0 00 0 17.3!3781 0.515440!

17.17527!813! 4.2112!81 74.504873 8.843!14!7817.7743137!7 4.2314435 178.!22103 3!.!0357438.135385!54! 33.8414!88 240.!080202 5!.!55148!238!.187508720! 33.385341503 37.18004! .!!423748

5!8.731!374 8!.03!157 537.2220885 138.72351215!2.78415274 84.2!1087!5 !!8.520478 15.08742735.431211205 157.007575!! 714.7315717 1!3.3001343725.4784232!08 152.813421 810.78!25! 1!!.8!5388

UD 143.807024!!Ugm 14.8442351"5fA@ 328.4105!03v6>cA= +K 6m 8.22841138

100

150


130/214

&+/T

?015 cm

Cm 411.!8272!!

hCm 3.73105432vCm .!!414544

0 0.5

-150

-100

-50

0


131/214


132/214

amille !1 ,o;rt terme 1er

,a=le & Ca=le ? Ca=le ]!iDSini X bC6 113.!3828 10.212 187.332!17 15.2242 / 17.32

13.8308 10.0542 18!.7120123 8.30! ?03 17.521314.2!153 10.!127 187.4!7045 34.283014 30 17.2877517.0!275 14.3321 12.087!030 0 1101 182.02751200.3528 18.21 18.0381705 0 102 184.!18!4202.!33 201.!!78 18.758111 0 1206 18!.3!42

amille !1 long terme 1e

,a=le & Ca=le ? Ca=le ]!iDSini X bC6 1170.3!!75 1!!.47!! 1!4.0!14342! 13.!43! / 144.422!1!.2782 1!5.42! 1!2.1504147 8!.08031 ?03 142.!8115

170.51!! 1!!.4!43 1!3.7222004 2.7247 30 143.!70481!8.3434! 1!5.!1281 1!3.3!831533 0 1101 138.48581!.04888 1!7.!511 1!!.73407034 0 102 137.!!241!.8341 1!8.80535 1!5.5!!448 0 1206 13!.!2728

7. 8 18.5!. 5.4! !.5

&02 &02& &043-0.8 -0.83 0.24-1.21 0.05 0.24>10? >10? /0?5

>1035 /0/2 /0?5


133/214

4.1 !.1=A>A6s =A>A6s

514.135!! !35.5!78

U1(b>>6) 25.21231 U1(b>>6) 275.78083U2(b>>6) 31.00!12 U2(b>>6) 3.!15U(b>>6) 25.21231 U(b>>6) 275.78083

s C s6cA= D'c>g6 D: cbC6 7 s C s6cA= D'A !.1 A6O=>A A>chA >6D:A A>6D 6O=>A A>chS=:s P1 S+/S P2 S=:s P1-113.0!58 -0.48513073 -8.12334

U>6D -1!.2!43 -13!.153700! +K U>6D -133.4214

4.1 A !.1A6s =A>A6s404.48!8! 501.843772!1.45544 U1(b>>6) 275.4837412.3338 U2(b>>6) 425.058!12!1.45544 U(b>>6) 275.4837

s C s6cA= D'c>g6 D: cbC6 ! s C s6cA= D'A 4.1 A6O=>A A>chA >6D:A A>6D 6O=>A A>chS=:s P1 S+/S P2 S=:s P1-18.15247 54.53!13322 -74.51371

U>6D -27.17502 81.!420!24 +K U>6D -111.5502

L$#$TE /LT$#E EL/

>6ssAc6 >:A:>6 f>gC6 6sc6m6A mAt st AtHst(,m+Hm) st St(,m) st(reten;

1062 4!.783137 !.874 22.!1213 100 &/1062 81.3774!1 !.874 22.!1213 100 &/1062 -8.7!23 !.874 22.!1213 100 &/1062 -212.8203 !.874 22.!1213 100 &/1062 !2.8!8! !.874 22.!1213 100 &/1062 -15.!!!14 !.874 22.!1213 100 &/


134/214

R21 R21' R22 R22' v(A) NA(A)47.357202 5.!24!01 -20.7834513 -2.!74!78 -2!.5732! -2.5478247.357202 5.!24!01 -20.7834513 -2.!74!78 -43.!!3 -3.54!37!47.357202 5.!24!01 -20.7834513 -2.!74!78 !.02531 -7.572747.357202 5.!24!01 -20.7834513 -2.!74!78 -7.421133 -35.!837747.357202 5.!24!01 -20.7834513 -2.!74!78 121.5411 -25.7!84!47.357202 5.!24!01 -20.7834513 -2.!74!78 -1.5!!!5 -!.233!8

47.357202 5.!24!01 -20.7834513 -2.!74!78 5.1785715 -55.!38!747.357202 5.!24!01 -20.7834513 -2.!74!78 -132.3025 -77.7834447.357202 5.!24!01 -20.7834513 -2.!74!78 -5.873!17 -.2473447.357202 5.!24!01 -20.7834513 -2.!74!78 -111.8818 -17.00723

132.3024!

h2>A T)AC6


135/214

1 1.5 2 2.5


136/214


137/214

amille !& ,o;rt terme cbC6 2 bC6 3 bC6 4 jP*SW `

173.5!8 1!8.82817 1!4.4883 141.04883 0

174.258 1!8.5885 1!3.57818 87.523! 3.7174.81!7 1!.53!28 1!4.!4 30.37031 7.417.034 174.753 171.!3078 0 11.1184.02884 181.818 180.55!!3 0 14.8187.388 18!.4454 181.!3!55 0 18.5

e amille !& long terme cbC6 2 bC6 3 bC6 4 jP*SW `13.044 133.2087 12.5153 111.74!24 0137.4177! 131.7482! 12!.7374 !8.274305 3.7

13.2744 133.101 12.082!7 23.!8381 7.413!.0145! 131.185 128.55185 0 11.1137.072! 135.04203 133.!0048 0 14.8138.25174 13!.7074 131.8442 0 18.5


138/214

8.1 18.5=A>A6s =A>A6s

730.!00!5 115.18

U1(b>>6) 287.585 U1(b>>6) 341.7525U2(b>>6) 404.25322 U2(b>>6) 31.83305U(b>>6) 287.585 U(b>>6) 341.7525

c>g6 D: cbC6 7 s C s6cA= D'c>g8.1 A 18.5

A >6D:A A>6D 6O=>A A>chA >6DS+/S P2 S=:s P1 S+/S P2-71.44!22 2.7! 2.7!-10!.58 +K U>6D 3.824005! 3.824005!

A 8.1=A>A6s 572.07748U1(b>>6) 285.478U2(b>>6) 432.23587U(b>>6) 285.478

c>g6 D: cbC6 7 s C s6cA= D'c>g!.1 A 8.1

A >6D:A A>6D 6O=>A A>chA >6DS+/S P2 S=:s P1 S+/S P212.01!54 -57.78322 20.485!17.882 +K U>6D -8!.5034 30.!8780

)


139/214

D @0(#N) X@

cbC6 5 cbC6 5 2 1!8.382 1

cbC6 ! cbC6 ! 2 1!8.251 1.5cbC6 7 cbC6 7 2 1!8.27 1.5cbC6 8 cbC6 8 2 1!3.!87 1

>6AAg6 D6 s:>fc6

,s(cm) ".0"07464F,8 "3F,10 ".65

EB:Cb>6 g66>C D6 DO:s= :>66 c=sA>:cA= 6C=AA=s: 14.51173 s: 170.12754f 0.5574!8 f 0.487!084U 74.8383 U !!.3!318

vC6:>s >6A6:6ss: 14.51173f 0.5574!8U 74.8383

(A) -84.3273 *A 14.51173U(A) -5!.8252 A 130.!7! A`(A) -1!.8!55 A 77.804!2 A

T(A) -7.57!!3 A3 2!.1353 AR21 -10.74478 A 4.5!8072 AR21' -4.82!85 A3 1!.!530 AR22 -7.1!7874 A 33.0!!4 AR22' -3.22005 A3 11.10327 A

armat;res dFeq;ili=re general

, (cm) 9 14.! cms:> :6 C=g:6:> 1.76


140/214

N,T/RE SET$+N #$REP,RT$T$+,S & >6s D6 C s:>fc6 D'b,6 11011?&S:> 0"4m

,c 606336 s:> 1"53m,( >@=:A6 -7.5384!3


141/214


142/214

26m6 fmCC6 P1 c=:>A A6>m6bC6 5 cbC6 ! bC6 7 bC6 8 jP*SW

0 0 0 0 0

12.515370557 0 0 0 57.20253513.7118!047 12.021458 12.3034 0 144.104151!.12083351 15.537!213 1!.0883 12.28104 131.!41211.588833588 17.81324441 18.43157 14.48!5 43.8!2582203.44145352 202.!71!4058! 202.!2!24 17.3!5

26#6 fmCC6 P1 C=g A6>m6bC6 5 cbC6 ! bC6 7 bC6 8 jP*SW

0 0 0 0 01!8.38143575 0 0 0 50.0315!8

1!.0!0502!!5! 1!8.250787715 1!8.2788 0 125.70!81!7.57351! 1!!.45828782 1!7.4424 1!3.!8!8 112.21!1!8.228!272534 1!!.45303815! 1!7.07137 1!3.1245 3!.82822170.0!14180 1!.215!3334 1!.24!1! 1!4.01!51 0


143/214

6 D: cbC6 7

:A A>6D

+K

A 18.5=A>A6s !71.75122U1(b>>6) 2.5!!52U2(b>>6) 440.3027!U(b>>6) 2.5!!52

6 D: cbC6 8A 18.5

:A A>6D 6O=>A A>chA >6D:A A>6DS=:s P1 S+/S P2

5.3 32.47+K U>6D 7.343253 48.!087 +K


144/214

Cc:C D6s c>g6s D6 C =:A>6

@ 0.24

b 0.41"25fA@ 3752;3*fc@ 2!!!.!!!!!!!7

>6AAg6 D 6cCA6m6AA c

bC6 5 2.!1 210.48cbC6 ! 2.54 210.31bC6 7 2.55 210.35bC6 8 0.03 204.!1#,` 2.!1 210.486>cA= v6> v>

se,tion de rettage Ae\ Ae

bC6 5 11.113 11011?cbC6 ! 7.403 11011?bC6 7 7.404 11011?bC6 8 10.803 11011?

A A `(A) T(A) R210 15.331!33! 50.0315!8 0 0 2.088!

0.08 15.331!33! 50.0315!8 !.11!435! 0.1!34141 2.088!0.321 15.331!33! 50.0315!8 23.23745 2.4428418 2.088!

0.7 15.331!33! 50.0315!8 4!.1147 10.2054 2.088!0. 15.331!33! 50.0315!8 5!.3!308 15.!4!! 2.088!1.3 15.331!33! 50.0315!8 72.!432! 27.521! 2.088!1.7 1!8.3814357 50.0315!8 83.52!434 38.31127 2.088!

2 1!8.3814357 50.0315!8 88.147042 43.44822 2.088!2.1 1!8.3814357 50.0315!8 8.012!21 45.107845 2.088!2.3 1!8.3814357 50.0315!8 8.731844 4!.02815 2.088!

#,`csCC6m6A D: v UD(#P) 2.02

Ugm(#P) 1.141"5fA@(#P) 3.28v6>cA= +K 6m(#N) 0.3

c=6Mc6A 0.!E m=A


145/214

N,T/RE SET$+N # REP,RT$T$+ :A ,S 10& >6s D6 C s:>fc6 D'b=:A

,6 5053 S:> 0"4m

,c ?0? s:> 1"53m


146/214


147/214

26#6 fmCC6 P2 c=:>A A6>m6` bC6 5 cbC6 ! bC6 7 bC6 8 jP*SW

0 0 0 0 0 0

3.7 172.27328 0 0 0 51.18780!7.4 174.0!717 172.8525 172.848 0 12.22523

11.1 177.7875 17!.8034 177.!31! 171.204 118.!2!0514.8 182.882!2 180.2124 181.14!73 175.2338! 3.!!182118.5 188.!!1!2 187.50!83 187.43873 17.542! 0

26m6 fmCC6 P2 C=g A6>m6` bC6 5 cbC6 ! bC6 7 bC6 8 jP*SW

0 0 0 0 0 03.7 13!.0722 0 0 0 40.431354

7.4 137.0013 135.8755! 135.1785 0 101.!335211.1 134.8!28 133.1812 134.74074 12.0272 8.!01!3!14.8 135.84231 133.1783 134.10!42 128.1355 2.1102218.5 138.515 137.43!72 137.3!8!2 12.52414 0


148/214


149/214

R21' R22 R22' v(A) NA(A) t0.358403! 37.711735 18.8447 3.121542 30.8283!4 /0.358403! 37.711735 18.8447 87.005107 30.!!45 /0/20.358403! 37.711735 18.8447 !.884083 28.385523 /0?&10.358403! 37.711735 18.8447 4!.2235 20.!1877 /030.358403! 37.711735 18.8447 3!.758444 15.178704 /040.358403! 37.711735 18.8447 20.478282 3.284487 10?0.358403! 37.711735 18.8447 18.043888 -7.407!3 103

0.358403! 37.711735 18.8447 13.423281 -13.11!4! &0.358403! 37.711735 18.8447 12.557702 -14.2748 &010.358403! 37.711735 18.8447 11.838478 -15.2!445 &0?

3.121542

c=6Mc6A 0.!E m=A


150/214

N,T/RE SET$+N # REP,RT$T$+,S & >6s D6 C s:>fc6 D'b=:A,6 11011S:> 0"4m

,c >104/ s:> 1"53m


151/214


152/214


153/214


154/214


155/214


156/214


157/214

P,R

EA>6 D>=AEA>6 bs

Ess6:>L=g:6:>

F:A6:> D'6A>6AC6 0.!85 F:A6:> D'6A>6

Ess6:>F:A6:>

L=g:6P>A6 Cb>

1) ,L/L EN E`PL+$T,T$+N

P=Ds >=>6(Tf) 2.5!25F=:>Ds(>6cA) 0.7275F=:>Ds(A>) 0.51375

REETE#ENT(>6cA) 0.014!05REETE#ENT(A>) 0.0078775EAch6A6(>6cA) 0.1!7!4EAch6A6(A>) 0.0453

S=mm6 (>6cA) 3.472245S=mm6 (A>) 0.!1!1575

C6:> D6s m=m6As 6A>v6 6A s:>

P>A6 >6cAgC6#(6 A>v6) 1.7!

#(S:> :) -1.12 T(#) 2.378

P>A6 A>gC6

#(6 A>v6) 0.18#(S:> :) -0.11 T(#) 0.21

T=AC#(6 A>v6) 7.14#(S:> :) 12.14

T(#) 25.!4

S+L$$T,T$+NS /ES ,/` F,RES R+/T$ERES

#: #A>v6&c !1.!4 38.5!&A !8.37 25.23


158/214

&> 1.71 3.42#120 48.8! 32.07

+#&$N,$S+NS

#: #A>v6

ELS 4.184 53.412EL/ 12!.12285 71.5278

PEN,NT LE ER$N,E

N=mb>6 D6 v> 4P=Ds =:A>6 137.31

h=:>DsP=:A>6 g:ch6 !8.12

P=:A>6 A6>m6D>6 !0.21=:A>6 D>=A6 50.2

R6v6A6m6AP=:A>6 g:ch6 12.54

P=:A>6 A6>m6D>6 11.08=:A>6 D>=A6 .37

EAch6AP=:A>6 g:ch6 1

P=:A>6 A6>m6D>6 0.88

=:A>6 D>=A6 0.74,(C)P=:A>6 g:ch6 42.1

P=:A>6 A6>m6D>6 44.41=:A>6 D>=A6 42.1

EA>6A=s6 B:vC6A6

[(m) L(m) a(m)

2.35 1 0.5

Armat;res longit;dinales

A(s;")(,m+)

A(in)(,m+)

c=DA= D6 = f>g,>mA:>6s A>sv6>sC6s

U;(M!a) 1.42U;=arre 4

eri,ation =X

S6cA= D'>mA:>6s


159/214

fA@* 3,A;sA(cm;m) !.!0!382787,A(cm) 1 cD>6 F, 10SA(m)

S6cA= mmC6 D'>mA:>6s

,A;sA(cm;m) 4,A(cm) 1 cD>6 F, 10SA(m)

Esc6m6A mmCsA 0.21

s:> : 2 cD>6s F,10 6scs D6 15 cm 6A 20 cm 6 AcB:=A 0.!85 1P>6m6> c=:>s cm 11 13c:m:C 24

SsmB:6 ,;& 0.00255!811


160/214


161/214

+NNEES E+#ETR$/ES#ETRE ,LE/R(m)

D6s =:A>6s 6D 2.17 D6s =:A>6s 6b 2.17

D6s =:A>6s 0.8 '6A>6A=s6 1.37

s6 D1 ckA =:A>6s 2.05A=s6 D2 : mC6: 2.05

'6A>6A=s6 b 0.5 : h=:>Ds h 0.3

> D'b=:A 0.47 6 D6 C'b=:A 0.22

:

Tm 207.7223.5

c


162/214

5142.7

Tm

23.8433.3315

solli,itations ,.arges "ermanentes

!o;tre ga;,.e 10.485!o;tre intermediaire 104.74

"o;tre droite .17

s=CCcAA=s ch>g6s 6>m6A6s#: !!.15#A>v6 32.41

T(Af) 111

s=CCcAA=s ch>g6s ,(C)#: 0

#A>v6 0 T(Af) 0

ELS EL/#: !!.15 8.3025#A>v6 32.41 43.7535

T(Tf) 111 14.85

=(m) A(m+) I(m) (m)

0.3 1.325 0.72252!0417 1.058!23

E s6>vc6 L=>s D: v>g6ELS EL ELS EL

1.7 8.57 12.!1 151.01 8.05 !.17 11062

CA 15.525F, 1!

Condition de résistan,e Se,tion minimale

AtHSt St(,m) AtHSt St(,m)!.!1 &?04& 4 ?406/


163/214

1.580.231!2!40

1.580.35

v6

1! 20 1! 1140 !0 7! 87


164/214


165/214

a e


166/214

L;20

L;20

F(m)

1.210377358

Es"a,ement maximal

St(,m)&1


167/214

13100

(A)U(A)

`(A) T(A)R21R21'


168/214


169/214

P,R,#

EA>6 D>=A DEA>6 bs D

Ess6:> DL=g:6:> D'

F:A6:> D'6A>6A=sC6 0.885 F:A6:> D'6A>6A=

Ess6:> D'F:A6:> D:

L=g:6:>P>A6 Cb>6

1) ,L/L EN E`PL+$T,T$+N

P=Ds >=>6(Tf) 4.1F=:>Ds(>6cA) 1.725F=:>Ds(A>) 0.!!375

REETE#ENT(>6cA) 0.02185REETE#ENT(A>) 0.0101775EAch6A6(>6cA) 0.303!EAch6A6(A>) 0.12213

S=mm6 (>6cA) !.15045S=mm6 (A>) 0.7!0575

C6:> D6s m=m6As 6A>v6 6A

P>A6 >6cAgC6#(6 A>v 3.128

#(S:> : -1.8 T(#) 4.21

P>A6 A>gC6

#(6 A>v 0.23#(S:> : -1.37 T(#) 0.27

T=AC#(6 A>v 3.358#(S:> : 3.35

T(#) 4.48

S+L$$T,T$+NS /ES ,/` F,RES R+/T$ERES

#: #A>v6&c 3.5! 5.22&A 2.5! 2.!


170/214

&> 2.71 5.42#120 1.587 2.451

+#&$N,$S+NS

#: #A>v6

ELS 7.!22 .8!2EL/ 10.23!3 13.2324

[(m) L(m) a(m)

2.35 1 0.8 0.35042!741

P>6D

6 A>v6

P$ -71.44P$$ -148.71$; c= P$$;0"!8

0.82034 0.057128 -218.8102342!35>

#g #s s

77.7 -22.47 327.4477.7 -22.37 0

>>6ss=:s P1 s=:ss s

255.157!288!! 154.717!3 552.34!0824742255.157!288!! 154.817!3 224.0!0824742

,>mA:>6s C=gA:DC6sJs $=t &A-0.38274 -157.32!1 -0.318!18711Armat;res de "ea; P6>m6A>6

4.

$ 0.37042 b 0.7!45S> 0.582451


171/214


172/214

Com=inaisons rares

So;s !1$s(M!a) 2.55$i(M!a) 1.55

SOS !&$s(M!a) 606&

$i(M!a) 1.57

Com=inaisons réq;entes

So;s !1$s(M!a) 2.55$i(M!a) 1.55

So;s !&$s(M!a) 4.21$i(M!a) 1.44

Com=inaisons q;asi "ermanentes

So;s !1$s(M!a) 2.55$i(M!a) 1.55

So;s !&$s(M!a) 2.25$i(M!a) 1.24


173/214

=:v6C =:v>g6

+NNEES E+#ETR$/ESETRE ,LE/R(m)s =:A>6s 6D 2.17s =:A>6s 6b 2.17

s =:A>6s 0.4 A>6A=s6 1.77

6 D1 ckA =:A>6s 2.05s6 D2 : mC6: 2.05

A>6A=s6 b 0.8 h=:>Ds h 0.3

D'b=:A 0.47 D6 C'b=:A 0.07

fc28 4000 fA28 d1 28fc@ 4000 fA@c@ 2400 A@c@ 2000 A@

:> :

Tm 121!


174/214

55.!35

Tm

23.!831.728

=(m) A(m+) I(m) (m) F(m)

0.3 1.4 0.4 1.14 1.21

D 0.071m6s=6m6A

P0 0"82*P0104.8 85.3! 0.033448244

A= c=A>A6sK1 0.82K2 0.!8

# 61 s 62

32.8! 21!.0824742 21!.08247422!80

f>6B:6A6s P2 s=:s P2 $s $i

157.32!0824742 421.3700825 144.1820824742124.5!!0824742 224.0!0825 124.5!!0824742

NbA ,s(cm) ch=50.1270745313 -22.3033278 2 F,12 2.2!

,s(cm)14.7 14 F,12 15.82

EO=>A A>chA108.0412371134

211.28!02312357.!3214382211.28!02312

n,e r;"t;re ragile es"a,ement min

st(,m) AtHst(,m+Hm) st(,m) st(,m)

201/ 7.03 22.4! 1//


175/214

>6AAg6 D6 s:>fc6,s(cm) 1."75!

4F,8 "5F,10 6.7

>6AAg6 D 6cCA6m6AA c 1"25*[email protected]!38 185.3!83442743 3757.!!024357 203.!378205128v> v>Ae\ Ae

A !.3020508 !.30205081

A !.14442308 !.30205081AAA

T(A) R21 R21' v(A) NA(A)0 12.!448453! 0 -12.!448453! 00 12.!448453! 0 -11!.!8453!0825 00 12.!448453! 0 58.27!787284 2.!1181!0 12.!448453! 0 -80.0158477!8 2.!1181!

0 12.!448453! 0 !0.3721541578 5.2383!330 12.!448453! 0 -0.13038!257 5.2383!33

11!.!8453!0825

No;el o;rage


176/214

3.553.!7?01/

3.233.553.!7

3.103.233.553.!73.10?0&?


177/214

C6 1.!1

1) ,L/L EN

P=Ds >=>6(Tf)

240.!

300-300-450

C6:> D6s m

P#(6 A>v

#(S:> : T(#)

P

#(6 A>v#(S:> : T(#)

#(6 A>v#(S:> :

T(#)

S+L$$T,T$+NS /ES ,/` F,

#:&c .42&A 11.!3


178/214

&> 4.025#120 43.

+#&$N,$S+N

#:

ELS 53.8!7EL/ !0.8!745

[(m) L(m)

1.!5 0.8

6 A>v6

P$ -324.543!P$$ -15.24811$; c=

0.3!3 0.00534

-0.5 #g0.5 s

4.4 10!.5!12.82 -0.77

B:s 6>m6A6s >s=:s P2 s=:s P1$s $i s 224.0!08 124.4!!08 354.0212 3!!.7212224.0!08 124.5!!08 273.23212 25.!4212

,>mA:>6s C=gA:DC6s,s;& 0.011!45 Js bA

2!.72002 -322.5115Armat;res de "ea;

$ 0.2475b 0.7!45S> 0.27225Tred Ured

14.44 14.44>cA= >

,>mA:>6s A>sv6>sC6sU; 201.74

: 52.!7Y;(rad) 0.325417 18.!4301Y;(,.oisi) 0.523588


179/214

At 1 cD>6 F,101 ,adre [A1/ es"a,é de &6 ,m0

dis"ositions sismiq;es

>6AAg6 D6 s:>fc6 @D1 0.325 104.8D2 0.325 104.8@ 0.14b 0.8

2;3*fc@ s: 317.5757!2!!!.!!!7 f 317.5757!

U 0

(A) 0 *A U(A) 0 A

`(A) 0 A T(A) 0 A3 R21 0 A R21' 0 A3

A A0 0 0

0.3 0 00.5 20.53453 2.!1181!1.3 20.53453 2.!1181!

1.45 41.0!0! 5.2383!331.!5 41.0!0! 5.2383!33

UD 182.4584Ugm 182.45841"5fA@ 450v6>cA= +K 6m 84.!!8007,c 25.400402

>6f=>c6m6A D6


180/214


181/214

c6 =:v>g6

+NNEES E+#ETR$/ESP,R,#ETRE ,LE/R(m)

EA>6 D>=A D6s =:A>6s 6D 3.4EA>6 bs D6s =:A>6s 6b 3.4

Ess6:> D6s =:A>6s 0.18L=g:6:> D'6A>6A=s6 3.22

F:A6:> D'6A>6A=s6 D1 ckA =:A>6s 1.!5F:A6:> D'6A>6A=s6 D2 : mC6: 1.!5

Ess6:> D'6A>6A=s6 b 0.3F:A6:> D: h=:>Ds h 0.2

L=g:6:> D'b=:A 0.47P>A6 Cb>6 D6 C'b=:A 0.32

`PL+$T,T$+N

1.2375

fc28 4000 d1 28fc@ 4000c@ 2400c@ 2000

m6As 6A>v6 6A s:> :

A6 >6cAgC61.783

-1.1871.

>A6 A>gC6

000

T=AC1.7831.1871.

RES R+/T$ERES

#A>v6 Tm1!.32 1217.7! 1!


182/214

8.05 57!.!4 5!.35

S

#A>v6 Tm

3.751 !.!1105.87105 78.75

a(m) =(m) A(m+) I(m) (m)

0.8 0 1.32 0.30 0.830.3333333333

D 0.071P>6Dm6s=6m6A

P$$;0"!8 P0 0"82*P0-22.423!5152 104.8 85.3! 0.03344824

>cA= c=A>A6sK1 0.82K2 0.!8

#B #s s

0 0 317.575758 317.57575757580 0

>6s f>6B:6A6ss=:s P2 s=:s P2s s

310.4415151515 322.511515152 310.441515 322.5115151515228.7715151515 215.181515152 228.771515 215.1815151515

&A NbA ,s(cm) ch=21.37!073123 -!84.02854 14!.325173 2 F,12

P6>m6A>6 ,s(cm)4. 14.7 10 F,12

EO=>A A>chA 317.57575757!


183/214

1.58

K@ >6AAg6 D6 s:>fc61 ,s(cm) 1."75!1 3 F,8 1.7

4F,10 6.1!

>6AAg6 D 6cCA6m6AA c114.72183 403.07!2307!114.72183 403.07!2307!

v> v>317.5757575758 Ae\ Ae

0 A 4.47415385 4.47415384!2

254.0!0!0!0!0! A 4.47415385 4.47415384!20 A0 A0 A

`(A) T(A) R21 R21' v(A)0 0 0 0 0

7!.2181818182 0 0 0 -7!.2181818182127.0303030303 0 0 0 82.504227!5!8330.2787878788 0 0 0 -120.74425711!

3!8.387878787 0 0 0 50.!8118258!441.2 0 0 0 -0.13038!257

120.74425711!

1.42!2483325


184/214


185/214

#D(Tf)

P>c=A>A6

EO=>As =>m:#6mb>:>

ELS1!1.33

=m>6ss= c6(T;m),s(cm),s(>6A6:)cCc:C

Maxim;m

Mem=r;re 5!5.3diagonale 470.7

fA28 240.!

fA@ 300 0A@ -300 0'A@ -450 ,(cm)

$(cm4)$(cm4),CmD

C=g:6:> C(cm)6Cc6m6A

Inégalité "o

KmDsigma

$e(TH,m+)

inégalité

$gCA K1DKmDsigma

$e(TH,m+)

inégalité


186/214

KCK1Km

(T;cm)f(T;cm)

F(m) 6(T;cm)0.83 gCA

61 -0.562 0.5

B:s 6>m6A6ss=:s P2s 310.44152 322.51152228.77152 215.18152

,s;& 0.01712122.2!

11.3


187/214

1"25*fA@ 2;3*fc@375 2!!!.!!!7

NA(A)00

2.!1181!2.!1181!

5.2383!335.2383!33


188/214


189/214

EA>6A=s6s mACCB:6s

35.81.05 ELS EL/

34.05238052 T>cA= m -!7.5 -1.125c=m>6ss= m 5!.53 7!.3155

104.8

s s:>6:>6s #6mb>:>6s f>6:>6s 128EL/ ELS EL/

181.1155 37.3 13.!75 A>6

2350077.070425531

!.2325`325 6 10 $(cm4) l6= $A=>s= (cm)1414.!484375 1!! 3150 12.8

Minim;m

-!75-477.5

>cA= : lmb6m6A0.5250.525 c=6f c=>6cA 6f A>n 2.10047712.4 ' 21.212!!5

385.03025 m 1!.48437514.41!04!7031 E(T;cm) 210021.2188843 X 7!.2735!

211 a 53.042214.!3!4!75!! Km 1.005702

(T;cm) 8.5355347X' 4!.0!04a' 5.3!321!

K1 1.07323!4 r ;ne mem=r;re10&

&0?6

v>6 =:> C'6s6mbC6

106?

&0?6

v>6EO=>A =>mC =D> DmssbC6

'' 21.15243!N=D> 4!.1847!


190/214

f=>m:C6 6v6C=6

1.385711881.07323!43!71.0057028884

1.414!484380.02137033

1.5!78577722.35

v>6


191/214


192/214


193/214

Dg=C6s

Nm 47.076 23500

,s(cm) 20.02787,s(>6A6:) 23.14 L 50`50`7C(cm) 148.8


194/214


195/214


196/214


197/214

L 37>cA>sAB:6s g=mA>B:6s$; 0.532! h=m=g66$;' 0.4!8E1 1.04!E2 0.1

P0(16fm) ,P0(26fm) ,P0(36fm) , P

0.000!74 -0.01744 -0.37 142 0.00548YbC61

6 s 0 -0.37 452.883 -80.0232 0

3.7 -0.181 4!.!0! -4.!8187 3.77.4 -1.0278!! 480.45284 -104.24! 7.4

11.1 -1.044!57 485.527!! -108.72!3 11.1

14.8 -1.04! 485.334! -10.0843 14.818.5 -1.04! 485.334! -10.0843 18.5

1.003 L !.088 ' 1.137 '$ 0.5342 $S 0.83!3 Sb 0.23 b

!oid "ro"re S;

x M(MN0m) $i $s M

1.003 / 0 0 0 01.137 ?03 2.237 -4.7!12!7 4.200132 0.32

0.5342 30 3.7 -8.44813 7.453!8! 0.570.83!3 1101 5.25 -11.1741 .8572!32 0.73

102 !.13 -13.0471 11.50528 0.811206 !.4 -13.!218! 12.01!473 0.83

C)mbnas)ns rares

so;s !1

x $i $s x

/ 5.!0!77 5.4302572 /?03 !.!50835 8.8884717 ?0330 8.!34437 10.52341 30

110111.41205 8.811827

1101

102 13.!805 7.023255 1021206 13.807822 7.1!53542 1206


198/214

cb Tg Ts TB T

0 0.!! 0.1 0.83 0.0247!13.7 0.53 0.07 0.!2 0.01743527.4 0.41 0.0! 0.44 0.010108

11.1 0.23 0.05 0.32 0.0027814.8 0.15 0.04 0.27 018.5 0 0.02 0.2! 0

S:> : YbC6 5c>cA>sAB:6s g=mA>B:6s$ 0.74!5 $ 1.0585s> 0.4214 s> 0.5844b 0.25 b 0.213s 1.181! s 1.!545

4.!1!7!13 4.2245581U1 2.35127 U1 2.3353U2 3.228002 U2 3.2311!8U'b>>6 2.35127 U'b>>6 2.3353

A 1.!2 T>6D -0.2!7385 T>6D -0.730081U>6D -0.58277! U>6D -1.8231>cA= v> >cA= v>


199/214

6

P-0.123 -0.373 142 0.0172 -0.315 0.34

YbC62 YbC636 s 6

-0.373 282.5223 70.3474! 0 0.34 50.71481-0.74!!72 35.4!5 -2.27877 3.7 -0.53!032 331.80322-0.57488 45.18188 -85.4854 7.4 -0.5128 470.5581!

-1.04! 485.334! -10.0843 11.1 -1.04! 485.334!

-1.04! 485.334! -10.0843 14.8 -1.04! 485.334!-1.04! 485.334! -10.0843 18.5 -1.04! 485.334!

1.003 1.0031.137 ' 1.137

0.5342 $ 0.53420.83!3 S 0.83!30.23 b 0.23

P6>A6s0K1K2

"erstr;,t;re ,onoi E

$i $s M $i $s

0 0 0 0 0-0.!8103 0.!008237 2.52 -5.3!3!0 4.73148!3-1.21317 1.0702171 4.03 -8.577518 7.5!!!23-1.553744 1.370!2 4.51 -.5158 8.4!78585-1.724017 1.520834 4.34 -.237327 8.148!70-1.7!!58! 1.55838!4 4.3 -.343748 8.24254!

Freq*entes

so;s !& so;s !1

$i $s x $i $s

4.!70878 4.4571285 / 5.!0!77 5.4302572-0.8733 12.887455 ?03 !.!50835 8.8884717-1.54!85 17.73218 30 8.!34437 10.52341

0.5!07775 17.7127841101

11.41205 8.8118272.8!2!378 1!.24843 102 13.!805 7.0232552.5853!! 1!.55!51 1206 13.807822 7.1!53542


200/214

EO=>A A>chA

C6 1 cbC6 2 cbC6 3 cbC6 4P T P T P T P1.417841 0.173353! 1.403788 0.42!!341 1.354341 0.!310 1.271!0821.4183 0.1118102 1.415512 0.2!18!3 1.35!22 0.3537744 1.3752251.41!4 0.04!2!5 1.41132! 0.085!!85 1.4174135 0.024838 1.417827

1.4173 0 1.4141 0 1.41!838! 0 1.4178271.4127 0 1.4180052 0 1.41!838! 0 1.4178271.41503 0 1.41335!1 0 1.41!838! 0 1.417827

cbC6 !

$ 1.051!s> 0.57!b 0.187s 1.!21!

4.8!32!3U1 2.430!4!3U2 3.21818!U'b>>6 2.430!4!3A 3

T>6D -0.774737U>6D -2.2!2!3>cA= v>


201/214

P , & P142 0.0323 -0.47001 0.8! 142

YbC64s 6 s274.84203 0 0.8! -0.12!!7 3.0848!2!.881088 3.7 -0.5353!2 331.!0071 27.05737-5.52102 7.4 -1.043!38 485.21!2 -108.454!-10.0843 11.1 -1.04! 485.334! -10.0843

-10.0843 14.8 -1.04! 485.334! -10.0843-10.0843 18.5 -1.04! 485.334! -10.0843

1.003' 1.137$ 0.5342S 0.83!3b 0.23

0.8175 0.010.!71 0.8

0.!so;s !&

x $i $s x

/ 4.!70878 4.4571285 /?03 1.2!55105 10.48!1 ?0330 0.2083!5 14.70554 30

11011.7!08812 14.325!41

1101

102 3.27!13! 12.88!1 1021206 2.!4588 13.254 1206


202/214

fc28 32.5c 1.5 A -2.55

1!.25 -3.825

cbC6 5 cbC6 ! cbC6 7 cb T P T P T P T0.438871! 1.3504783 0.2814052 0.87505 0.3487!72 0.851322 0.337072!0.3211841 1.38315 0.2053488 0.8!788 0.23354!5 0.888!2 0.22!240.1!072 1.40!34! 0.1245! 0.115238 0.1053153 0.13522 0.111185!0.0!!1872 1.41845!! 0.0408074 0.1045 -0.02417 0.152! -0.01312

0 1.41842 -0.04401 0.184!7 -0.1!22 0.055728 -0.13!7150 1.41842 0 0.11015 0 0.874582 0

cbC6 7 cbC6 8

$ 1.0452 $s> 0.5!7! s>b 0.1!2 bs 1.5873 s

5.!12148! U1 2.5332313 U1U2 3.1!500!2 U2U'b>>6 2.5332313 U'b>>6A 4.! A

T>6D -0.715!4 T>6DU>6D -2.385! U>6D>cA= v> >cA=


203/214

, & ! , &0.01253!! -0.32475 1.0! 142 0.0124718 -0.321273

YbC65 Y 6 s 6

0 0 1!.7553 1!.7553 0 03.7 0.4402011 3!.751305 287.15! 3.7 1.000!74!7.4 -0.382!5 20.1!514 !3.!1153 7.4 -0.000132

11.1 -0.83477 43.8357! -!8.413 11.1 -0.!54!

14.8 -1.045437 485.7!317 -108.341 14.8 -0.7731118.5 -1.04! 485.334! -10.0843 18.5 -1.00

1.003 1.003' 1.137 ' 1.137$ 0.5342 $ 0.5342S 0.83!3 S 0.83!3b 0.23 b 0.213

q*as ,ermanente

so;s !1 so;s !&

$i $s x $i $s

5.!0!77 5.4302572 / 4.!70878 4.4571285!.!50835 8.8884717 ?03 4.483!7! 8.155!8.!34437 10.52341 30 5.3554472 10.1!5575

11.41205 8.8118271101

7.5203758 .24425513.!805 7.023255 102 8.8185357 8.075813.807822 7.1!53542 1206 8.5757074 8.313!8


204/214


205/214

P , & P1.0! 2 0.01848 -0.40!74 1.1 2

C6! YbC67 s 6 s110.00837 110.00837 0 0 110.00837 110.00837-85.3804 282.8!171 3.7 0 110.00837 110.00837110.03413 10.85!4 7.4 0.3!05!2 3.405177 172.20!23.14011 -3.04!7! 11.1 -0.588575 225.2578 8.338043

301.378 -58.8025 14.8 -0.22 304.4505 -!1.5177307.585 -!4.2830! 18.5 -1.00 307.585 -!4.2830!

1.003' 1.137$ 0.5342S 0.83!3b 0.187


206/214

s6cA= mD6

$ 1.05!1s> 0.57b 0.18s 1.554

!.!!4717U1 2.!707!4U2 3.0347011U'b>>6 2.!707!4

T>6D 0.28U>6D 0.835!7>cA= v>


207/214

, & P ,0.01837! -0.337!4 1.1 2 0.0242538

YbC68 6

BP-isostatique-1 (1)

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