Calcul Des Voiles
description
Transcript of Calcul Des Voiles
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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
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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
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ferraillage des voiles transversaux VT1 et VT7 ferraillage des voiles transversaux VT2 et VT6
II III IV9.4 9.35 9.3
Caractristiquesgometrique
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
sollicitations de calcul
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
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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
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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
espacementbande1bande2
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
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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
b=5MPa bu=2,5bc=15 bc
maxmin
maxmin
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ferraillage des voiles transversaux VT3 et VT4et VT5
zone I II III
Caractristiquesgometrique
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
sollicitations de calcul
(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
espacementbande1bande2
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
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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
b=5MPa bu=2,5bc=15 bc
maxmin
maxmin
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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
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0.010.010.29
174.33
-63.11
520.05
282.600.702.91
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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
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VrificationsMPa -0.12 0.00 0.00 0.00
Ferraillages des voiles transversaux Vt 1ZONE I II III IV
Caracterstiques gomtriquesL (m) 3.38 3.38 3.48 3.58e (m) 0.22 0.18 0.18 0.18B (m) 0.74 0.61 0.63 0.64
Sollicitations de calcul
(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 minimales (cm) 24.86 20.34 20.34 20.34
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
Armatures verticales adoptes
A1=Av1+Avj (cm) 39.08 26.00 21.02 20.50A2=Av2+Avj (cm) 16.04 14.00 10.66 6.54
Choix de section(cm) 2X10HA162X10HA142X10HA122X10HA12A1 (adopte) (cm) 40.20 30.80 22.6 22.6
bc=15
maxmin
12N1N2
Av min/bandeAv1Av2
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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
Armatures horizontalesAh (cm) 10.05 7.70 5.65 5.65
Choix de la section(cm) 2X7HA10 2X7HA10 2X7HA10 2X7HA10Ah (adopte) (cm) 10.99 10.99 10.99 10.99
Armatures transversalesAt (adopte) (cm) 4 pingles HA 8 /m
Vrificationsb=5 MPa 0.24 0.21 0.18 0.57
u=2,5 MPa 0.34 0.30 0.25 0.79MPa 0.21 0.18 0.20 0.17bc=15
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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
espacementbande1bande2
Ah (cm)
b=5MPa bu=2,5 u
maxmin
12N1N2
Av minAv1Av2
Ahchoix de la section/mlet par nappe
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bcbc=15
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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
espacementbande1bande2
Ah (cm)
b=5MPa bu=2,5 u
maxmin
12N1N2
Av minAv1Av2
Ahchoix de la section/mlet par nappe
-
bcbc=15
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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
Sollicitations de calcul
(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
Armatures verticales adoptes
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
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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
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Ferraillages des voiles transversaux Vl 1ZONE tage1 tage2 tage3 tage4
Caracterstiques gomtriquesL (m) 2.20 2.20 2.20 2.25e (m) 0.25 0.25 0.18 0.18B (m) 0.55 0.55 0.40 0.41
Sollicitations de calcul
(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
Armatures verticales adoptes
A1=Av1+Avj (cm) 30.69 12.06 9.96 13.39A2=Av2+Avj (cm) 23.85 8.20 4.70 3.84
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
Armatures horizontalesAh (cm) 7.04 5.39 3.96 3.96
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
Armatures transversalesAt (adopte) (cm) 4 pingles HA 8 /m
maxmin
12N1N2
Av min/bandeAh minAv1Av2
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Vrificationsb=5 MPa 4.75 2.44 0.45 0.99
u=2,5 MPa 6.65 3.41 0.63 1.38MPa 0.13 0.07 0.13 0.16bc=15
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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
Sollicitations de calcul
(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
Armatures verticales adoptes
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
Armatures transversalesAt (adopte) (cm) 4 pingles HA 8 /m
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
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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
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Ferraillages des voiles transversaux Vl 3ZONE I II III IV
Caracterstiques gomtriquesL (m) 2.60 2.60 2.65 2.70e (m) 0.22 0.18 0.18 0.18B (m) 0.57 0.47 0.48 0.49
Sollicitations de calcul
(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 minimales (cm) 28.60 23.40 23.40 23.40
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
Armatures verticales adoptes
A1=Av1+Avj (cm) 35.70 20.38 18.36 18.42A2=Av2+Avj (cm) 5.04 8.36 5.77 0.00
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
Armatures horizontalesAh (cm) 10.05 6.22 6.22 6.22
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 0.37 0.47 0.57 0.94
maxmin
12N1N2
Av min/bandeAv1Av2
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Vrifications u=2,5 MPa 0.52 0.66 0.80 1.32MPa 0.20 0.18 0.16 0.15bc=15
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2 X 11 HA 12
2 X 11 HA 12
2 X 7 HA10
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Feuil1Vt 1Vt2Vl1Vl2Vl3