Calcul Des Voiles

ferraillage des voiles transversaux VT1 et VT7

zone I

Caractristiquesgometrique

L (m) 1.35e (m) 4B (m) 5.4I 0.053

V=V'=L/2 (m) 0.675

sollicitations de calcul

(kN) 205.30(kN) -750.00

M (kNm) 375(kN) -590

T (kN) 130(kN/m) 4637.05(kN/m) 4914.83

nature de la section spcLc (m) 0.66Lt (m) 0.69d (m) 0.35

(kN/m) 2457.42(kN) 5120.98(kN) 1706.99

Ferraillage

(cm) 147.15(cm) 49.05(cm) 69.46

Avj (cm) 4.88A1=Av1+Avj/4 (cm) 148.37A2=Av2+Avj/4 (cm) 50.27

choix de la sectionbande1 14HA20bande2 9HA16

section utilisbande1 43.96bande2 18.08

espacementbande1bande2

Ah (cm) 10.60(cm) 81.00

(m4)

NmaxNmin

Ns

maxmin

1N1N2Av1Av2

Av min

Ah min Ahchoix de la section/mlet par nappe

Vrification des contraintes

0.02u 0.01

-0.11

n=nmin

4637.05

-4914.83

n=nmax

4813.96

-4737.92Amin 16.78

69.46

b=5MPa bu=2,5bc=15 bc

maxmin

maxmin

ferraillage des voiles transversaux VT1 et VT7 ferraillage des voiles transversaux VT2 et VT6

II III IV9.4 9.35 9.3


0.2 0.2 0.21.88 1.87 1.86

13.843 13.623 13.4064.7 4.675 4.65

2561.70 1652.98 738.42


1357.42 538.72 108.0321220.21004 8069.34394 1589.061698

1895.3745 1222.9345 546.21951088.808366 669.0492661 266.3575279

7926.72 3057.17 609.27

6482.66 2481.00 493.10spc spc spc5.17 5.16 5.144.23 4.19 4.162.11 2.09 2.08

3241.33 1240.50 246.552056.13 779.40 153.85685.38 259.80 51.2859.08 22.40 4.42

Ferraillage

19.69 7.47 1.4721.14 20.94 20.8040.83 25.09 9.9969.29 28.67 23.3031.35 27.22 23.30

12HA20 10HA14 8HA148HA16 10HA14 8HA1437.68 15.4 12.3216.07 15.4 12.32

60.61 36.00 28.6428.20 28.05 27.90

2.63 1.62 0.64

Vrification des contraintes1.88 1.15 0.460.84 0.59 0.27

7926.72 3057.17 609.27

-6482.66 -2481.00 -493.10

8567.30 3653.03 948.18

-5842.08 -1885.14 -154.185.11 5.06 5.02

21.14 20.94 20.80

ferraillage des voiles transversaux VT2 et VT6

zone I II III IVL (m) 4.550 4.500 4.450 4.400e (m) 0.2 0.2 0.2 0.2B (m) 0.91 0.9 0.89 0.88I 1.570 1.519 1.469 1.420

V=V'=L/2 (m) 2.275 2.25 2.225 2.2(kN) 1227.368 1147.866 745.191 336.678(kN) 708.462 475.952 240.382 49.601

M (kNm) 2521.057 2081.656 786.137 153.930(kN) 906.803 788.532 550.460 248.595

T (kN) 109.760 107.696 65.548 25.809(kN/m) 4431.794 3612.771 1461.059 294.892(kN/m) 2874.734 2555.099 920.874 182.163

nature de la section spc spc spc spcLc (m) 2.76 2.64 2.73 2.72Lt (m) 1.79 1.86 1.72 1.68d (m) 0.90 0.93 0.86 0.84

(kN/m) 1437.37 1277.55 460.44 91.08(kN) 385.97 357.24 118.82 22.95(kN) 128.66 119.08 39.61 7.65(cm) 11.09 10.27 3.41 0.66(cm) 3.70 3.42 1.14 0.22(cm) 8.95 9.32 8.60 8.40

Avj (cm) 4.12 4.04 2.46 0.97A1=Av1+Avj/4 (cm) 12.12 11.28 9.22 8.64A2=Av2+Avj/4 (cm) 9.98 10.33 9.22 8.64

choix de la sectionbande1 7HA12 6HA12 5HA12 4HA12bande2 5HA12 5HA12 5HA12 4HA12

section utilisbande1 7.9 6.77 5.65 4.51bande2 5.65 5.65 5.65 4.51


Ah (cm) 7.43 6.88 6.29 4.96(cm) 13.65 13.50 13.35 13.20

(m4)

NmaxNmin

Ns

maxmin

1N1N2Av1Av2

Av min

Ah min Ahchoix de la section/ml

0.27 0.26 0.16 0.06u 0.19 0.19 0.11 0.04

0.95 0.84 0.59 0.27

n=nmin

4431.79 3612.77 1461.06 294.89

-2874.73 -2555.10 -920.87 -182.16

n=nmax

5002.02 4359.34 2028.26 621.12

-2304.51 -1808.53 -353.67 144.06Amin 2.16 2.25 2.08 2.03

8.95 9.32 8.60 8.40


maxmin

maxmin

ferraillage des voiles transversaux VT3 et VT4et VT5

zone I II III


L (m) 2.228 2.215 2.203e (m) 0.2 0.2 0.2B (m) 0.4455 0.443 0.4405I 0.184 0.181 0.178

V=V'=L/2 (m) 1.11375 1.1075 1.10125


(kN) 637.17675 594.9483 387.037875(kN) 356.242 240.624 121.788

M (kNm) 306.9019384 253.7517862 96.44499483(kN) 470.455 439.258 285.1975

T (kN) 13.26915965 13.02699809 8.000484079(kN/m) 2655.25 2094.78 872.92(kN/m) 1055.96 1008.44 319.97

nature de la section spc spc spcLc (m) 1.59 1.50 1.61Lt (m) 0.63 0.72 0.59d (m) 0.32 0.36 0.30

(kN/m) 527.98 504.22 159.98(kN) 50.19 54.44 14.18(kN) 16.73 18.15 4.73

Ferraillage

(cm) 1.44 1.56 0.41(cm) 0.48 0.52 0.14(cm) 3.17 3.60 2.95

Avj (cm) 0.50 0.49 0.30A1=Av1+Avj/4 (cm) 3.29 3.72 3.03A2=Av2+Avj/4 (cm) 3.29 3.72 3.03

choix de la sectionbande1 3HA12 3HA12 3HA12bande2 3HA12 3HA12 3HA12

section utilisbande1 3.38 3.38 3.38bande2 3.38 3.38 3.38


Ah (cm) 1.88 1.87 1.86(cm) 6.68 6.65 6.61

(m4)

NmaxNmin

Ns

maxmin

1N1N2Av1Av2

Av min

Ah min Ahchoix de la section/ml

Vrification des contraintes

0.03 0.03 0.02u 0.02 0.02 0.01

1.03 0.97 0.63

n=nmin

2655.25 2094.78 872.92

-1055.96 -1008.44 -319.97

n=nmax

3285.86 2894.61 1475.08

-425.35 -208.61 282.19Amin 0.77 0.87 0.71

3.17 3.60 2.95


maxmin

maxmin

IV2.190

0.20.438

0.1751.095

175.77975

24.357618.9800031

129.44753.18229648

174.33

63.11spc1.610.580.2931.562.760.920.080.032.910.122.942.94

3HA123HA12

3.383.38

1.856.57

0.010.010.29

174.33

-63.11

520.05

282.600.702.91

ZONE I II III IV

Caracterstiques gomtriquesL (m) 1.60 3.38 3.48 3.58e (m) 0.20 0.18 0.18 0.18B (m) 0.32 0.61 0.63 0.64

Sollicitations de calcul

(kN/m) -4631.00 -5218.96 0.00 0.00(kN/m) -1705.00 918.74 0.00

V (KN) 3292.16 779.73 0.00 0.00T (KN) 2351.54 556.95 0.00 0.00Lc (m) 0.00 2.87 #DIV/0! #DIV/0!Lt (m) 1.60 0.51 #DIV/0! #DIV/0!d (m) 0.95he (m) 2.71 2.71 4.15 4.15

he/2 (m) 1.36 1.36 2.08 2.08(2/3)Lc (m) 0.00 1.92 #DIV/0! #DIV/0!

(kN/m) -2893.69 -5218.96 0.00 0.00(kN/m) -1156.38 -5218.96 0.00 0.00

(kN) -714.85 0.00 0.00 0.00(kN) -384.76 0.00 0.00 0.00

Armatures minimales (cm) 19.00 0.00 0.00 0.00

Armatures verticales(cm) 20.54 0.00 0.00 0.00(cm) 11.06 0.00 0.00 0.00

Armatures de couturesAvj/bande (cm) 15.09 2.55 0.00 0.00

Armatures verticales adoptes

A1=Av1+Avj (cm) 35.63 2.55 0.00 0.00A2=Av2+Avj (cm) 26.15 2.55 0.00 0.00

Choix de la section(cm) 2 x 9 HA 20A1 (adopte) (cm) 40.20 27.72 0 0

Choix de la section(cm) 2 X 9 HA 142 X 7 HA 14A2 (adopte) (cm) 27.72 21.56 0.00 0.00

Sv1 (cm) 12.00 13.50Sv2 (cm) 13.50 18

Armatures horizontalesAh (cm) 10.05 6.93 0.00 0.00

Choix de la section(cm) 2 X 7 HA102 X 7 HA102 X 7 HA102 X 7 HA10Ah (adopte) (cm) 10.99 10.99 10.99 10.99

Armatures transversalesAt (adopte) (cm) 4 pingles HA 8 /m

Vrificationsb=5 MPa 8.17 1.02 0.00 0.00

u=2,5 MPa 11.43 1.42 0.00 0.00

Ferraillages des voiles transversaux Vt 1

maxmin

12N1N2

Av minAv1Av2

VrificationsMPa -0.12 0.00 0.00 0.00

Ferraillages des voiles transversaux Vt 1ZONE I II III IV



(kN/m) -6790.55 -5218.96 -4259.71 -3979.00(kN/m) 2858.97 918.74 1198.45 3587.42

V (KN) 228.69 162.37 142.00 460.38T (KN) 163.35 115.98 101.43 328.84Lt (m) 2.38 2.87 2.72 1.88Lc (m) 1.00 0.51 0.76 1.70d (m) 1.13 1.13 1.13 1.13he (m) 4.15 2.71 2.71 2.71

he/2 (m) 2.08 1.36 1.36 1.36(2/3)Lt (m) 1.59 1.92 1.81 1.26

(kN/m) -3564.53 -3167.01 -2487.38 -1590.72(kN/m) -338.50 -1115.05 -715.04 797.57

(kN) -1287.14 -852.85 -686.18 -566.44(kN) -485.15 -435.49 -325.69 -80.66


Armatures verticales(cm) 36.99 24.51 19.72 16.28(cm) 13.94 12.51 9.36 2.32

Armatures de couturesAvj/bande (cm) 2.10 1.49 1.30 4.22



Choix de section(cm) 2X10HA162X10HA142X10HA122X10HA12A1 (adopte) (cm) 40.20 30.80 22.6 22.6

bc=15

maxmin

12N1N2

Av min/bandeAv1Av2

Armatures verticales adoptesChoix de la section(cm) 2X9HA14 2X9HA14 2X9HA12 2X9HA12

A2 (adopte) (cm) 27.72 20.34 20.34 20.34Sv1 (cm) 12.00 12.00 12.00 12.00Sv2 (cm) 13.50 13.50 13.5 13.5


Choix de la section(cm) 2X7HA10 2X7HA10 2X7HA10 2X7HA10Ah (adopte) (cm) 10.99 10.99 10.99 10.99



u=2,5 MPa 0.34 0.30 0.25 0.79MPa 0.21 0.18 0.20 0.17bc=15

L (m) 1.7

(kN/m) 777.00 0.00 0.00 0.00(kN/m) 76.00 0.00 0.00 0.00

Lc (m)Lt (m)d (m)

(kN/m)(kN/m)

(kN)(kN)(cm)(cm)(cm)

Avj (cm)A1=Av1+Avj/4 (cm)A2=Av2+Avj/4 (cm)

choix de la sectionbande1bande2

section utilisbande1bande2


Ah (cm)

b=5MPa bu=2,5 u

maxmin

12N1N2

Av minAv1Av2

Ahchoix de la section/mlet par nappe

bcbc=15

L (m)

(kN/m) 0.00 0.00 0.00 0.00(kN/m) 0.00 0.00 0.00 0.00

Lc (m)Lt (m)d (m)

(kN/m)(kN/m)

(kN)(kN)(cm)(cm)(cm)

Avj (cm)A1=Av1+Avj/4 (cm)A2=Av2+Avj/4 (cm)

choix de la sectionbande1bande2

section utilisbande1bande2


Ah (cm)

b=5MPa bu=2,5 u

maxmin

12N1N2

Av minAv1Av2

Ahchoix de la section/mlet par nappe

bcbc=15

Ferraillages des voiles transversaux Vt 2ZONE I II III

Caracterstiques gomtriquesL (m) 2.30 2.30 2.30e (m) 0.22 0.18 0.18B (m) 0.51 0.41 0.41


(kN/m) -5437.89 -3960.25 -2623.66

(kN/m) 1790.05 -65.89 347.06V (KN) 113.93 65.65 50.34T (KN) 81.38 46.89 35.96Lt (m) 1.73 2.30 2.03Lc (m) 0.57 0.00 0.27d (m) 1.15 1.15 1.15he (m) 4.15 2.71 2.71

he/2 (m) 2.08 1.36 1.36(2/3)Lt (m) 1.15 1.53 1.35

(kN/m) -1823.92 -2013.07 -1138.30

(kN) -918.62 -618.24 -389.36

Armatures minimales (cm) 25.30 20.70 20.70

Armatures verticales (cm) 26.40 17.77 11.19Armatures de couturesAvj/bande (cm) 1.57 0.90 0.69


A1=Av1+Avj (cm) 27.96 18.67 11.88Choix de la section(cm) 2 X 10 HA 142 X 10 HA 122 X 10 HA 12

A1 (adopte) (cm) 30.80 22.6 22.6Sv1 (cm) 12.00 12.00 12.00

Armatures horizontalesChoix de la section(cm) 2 X 7 HA10 2 X 7 HA102 X 7 HA10

Ah (adopte) (cm) 10.99 10.99 10.99Armatures transversalesAt (adopte) (cm) 4 pingles HA 8 /m

Vrificationsb=5 MPa 0.18 0.13 0.10

u=2,5 MPa 0.25 0.18 0.14MPa 0.20 0.18 0.11

maxmin

1N1

Av min/bandeAv1

bc=15

Ferraillages des voiles transversaux Vt 2IV

2.300.180.41

-3458.43

2287.87202.59144.711.380.921.152.711.360.92

-585.28

-418.52

20.70

12.032.7914.81

2 X 10 HA 1222.612.00

2 X 7 HA1010.99

4 pingles HA 8 /m0.390.540.12

Ferraillages des voiles transversaux Vl 1ZONE tage1 tage2 tage3 tage4



(kN/m) -2406.82 -1070.23 -2979.72 -4084.83

(kN/m) -676.19 -94.31 997.70 3296.52V (KN) 3292.16 1688.25 225.72 504.74T (KN) 2351.54 1205.89 161.23 360.53Lt (m) 2.20 2.20 1.65 1.25Lc (m) 0.00 0.00 0.55 1.00d (m) 1.10 1.10 0.75 0.75

(2/3)Lt (m) 1.47 1.47 1.10 0.83(kN/m) -1541.51 -582.27 -1623.78 -1624.38

(kN/m) -676.19 -94.31 -267.84 836.07

(kN) -542.89 -227.22 -310.74 -385.37

(kN) -304.93 -93.03 -127.68 -53.21

Armatures minimales(cm) 27.50 27.50 13.50 13.50

(cm) 20.63 20.63 10.13 10.13

Armatures verticales(cm) 15.60 6.53 8.93 11.07

(cm) 8.76 2.67 3.67 1.53Armatures de couturesAvj/bande (cm) 15.09 5.53 1.03 2.31



Choix de la section(cm) 2x9HA20 2x9HA20 2 X 7 HA 122 X 7 HA 12A1 (adopte) (cm) 28.14 21.56 15.82 15.82

Choix de la section(cm) 2 x9HA20 2 X 7 HA 122 X 7 HA 122 X 7 HA 12A2 (adopte) (cm) 21.56 15.82 15.82 15.82

Sv1 (cm) 12.00 12.00 12.00 12.00Sv2 (cm) 12.00 12.00 12.00 12.00


Choix de la section(cm) 2x7HA10 2x7HA10 2 X 7 HA10 2 X 7 HA10Ah (adopte) (cm) 10.99 10.99 10.99 10.99


maxmin

12N1N2

Av min/bandeAh minAv1Av2


u=2,5 MPa 6.65 3.41 0.63 1.38MPa 0.13 0.07 0.13 0.16bc=15

Ferraillages des voiles transversaux Vl 2ZONE I II III

Caracterstiques gomtriquesL (m) 3.30 3.30 3.23e (m) 0.22 0.18 0.18B (m) 0.73 0.59 0.58


(kN/m) -7056.66 -4662.06 -3154.31

(kN/m) 1807.49 -272.16 488.47V (KN) 211.26 128.56 118.72T (KN) 150.90 91.83 84.80Lt (m) 2.63 3.30 2.80Lc (m) 0.67 0.00 0.43d (m) 1.10 1.10 1.10

(kN/m) -4101.94 -3198.76 -1913.73

(kN/m) -1147.23 -1735.46 -673.16

(kN) -1350.19 -778.22 -501.74

(kN) -635.15 -488.49 -256.10

Armatures minimales (cm) 24.20 19.80 19.80

Armatures verticales(cm) 38.80 22.36 14.42

(cm) 18.25 14.04 7.36Armatures de couturesAvj/bande (cm) 0.97 0.42 0.54


A1=Av1+Avj (cm) 39.77 22.78 14.96A2=Av2+Avj (cm) 19.22 14.46 7.90

Choix de la section(cm) 2 X 10 HA 162 X 10 HA 142 X 10 HA 12A1 (adopte) (cm) 40.20 30.80 22.6

Choix de la section(cm) 2 X 7 HA 16 2 X 7 HA 142 X 7 HA 14A2 (adopte) (cm) 28.14 21.56 21.56

Sv1 (cm) 13 13 13Sv2 (cm) 20 20 20

Armatures horizontalesAh (cm) 10.05 7.70 5.65

Choix de la section(cm) 2 X 7 HA10 2 X 7 HA10 2 X 7 HA10Ah (adopte) (cm) 10.99 10.99 10.99


Vrificationsb=5 MPa 0.23 0.17 0.16

u=2,5 MPa 0.32 0.24 0.23MPa 0.22 0.17 0.15

maxmin

12N1N2

Av min/bandeAv1Av2

bc=15

Ferraillages des voiles transversaux Vl 2IV

3.150.180.57

-3658.46

2584.62424.97303.551.851.301.10

-1478.34

701.79

-508.54

-76.88

19.80

14.61

2.211.9516.564.16

2 X 10 HA 1222.6

2 X 7 HA 1421.56

1320

5.652 X 7 HA10

10.994 pingles HA 8 /m

0.590.830.15

Ferraillages des voiles transversaux Vl 3ZONE I II III IV



(kN/m) -6060.49 -3789.05 -3432.14 -3899.88

(kN/m) 1401.87 -212.35 386.43 2555.04V (KN) 267.13 279.79 345.55 577.11T (KN) 190.81 199.85 246.82 412.22Lt (m) 2.11 2.60 2.38 1.63Lc (m) 0.49 0.00 0.27 1.07d (m) 1.30 1.30 1.30 1.30he (m) 4.15 2.71 2.71 2.71

(kN/m) -2329.31 -2000.70 -1558.88 -791.96

(kN/m) 1401.87 -212.35 314.38 2315.97

(kN) -1199.74 -677.40 -583.95 -548.94

(kN) -132.62 -258.93 -145.61 178.31


Armatures verticales(cm) 34.48 19.47 16.78 15.77

(cm) 3.81 7.44 4.18 -5.12Armatures de couturesAvj/bande (cm) 1.22 0.92 1.58 2.65



Choix de la section(cm)2 X 10 HA 162 X 11 HA 122 X 11 HA 122 X 11 HA 12A1 (adopte) (cm) 40.20 24.86 24.86 24.86

Choix de la section(cm) 2 X 8 HA 162 X 9 HA 142 X 11 HA 122 X 11 HA 12A2 (adopte) (cm) 32.16 27.72 24.86 24.86

Sv1 (cm) 13 13 13 13Sv2 (cm) 17 15 13 13


Choix de la section(cm) 2 X 7 HA102 X 7 HA102 X 7 HA102 X 7 HA10Ah (adopte) (cm) 10.99 10.99 10.99 10.99



maxmin

12N1N2

Av min/bandeAv1Av2

Vrifications u=2,5 MPa 0.52 0.66 0.80 1.32MPa 0.20 0.18 0.16 0.15bc=15

2 X 11 HA 12

2 X 11 HA 12

2 X 7 HA10

Feuil1Vt 1Vt2Vl1Vl2Vl3

Calcul Des Voiles

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