Poutre Continue

le 04/13/2023 à 03:21:01

Calcul des efforts dans une poutre continue PRS

Module d'Young 21.00 10e6 t / m2 Appui de gaucheInertie 1.51E-03 m4 Appui de droite

Travées Charges ponctuelles Charges réparties CouplesLongueurs Abs. Charge Début Charge Fin Charge Abs. Moment

m m t m t / m m t / m m tm10.500 4.200 23.800 0.000 0.147 10.500 0.147

9.000 13.600

x? 2.2 m x? 10.5 m

Mt= 35.36 tm Mt= 0.00 tmT= 16.69 t T= -21.95 t

Moment max positif= 70081 kgm

Tranchant max = 21949 kg flèche non pondérée

18.6 kg/mm2 Flèche max= 22.2 mm 1/474 15.8 mm 1/664PP= 110.53 kg/m Réaction max= 21949 kg 3.8 Hz(G+Q) 4.5 Hz(G+Q)

L totale= 10.5 m

s=

0.0 2.0 4.0 6.0 8.0 10.00.0

10.0

20.0

30.0

40.0

50.0

60.0

70.0

80.0

0.0

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15.0

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25.0

Courbe des moments / déplacements

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0.0 2.0 4.0 6.0 8.0 10.00.0

10.0

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le 04/13/2023 à 03:21:01

Découpage des travées 100

Abscisse Moment Tranchant Flèche Réactionm tm t mm t

0.00 0.00 16.99 0.00 16.990.11 1.78 16.98 0.700.21 3.57 16.96 1.390.32 5.35 16.95 2.080.42 7.12 16.93 2.780.53 8.90 16.92 3.460.63 10.68 16.90 4.150.74 12.45 16.89 4.830.84 14.22 16.87 5.510.95 15.99 16.86 6.181.05 17.76 16.84 6.851.16 19.53 16.82 7.511.26 21.30 16.81 8.17

1.37 23.06 16.79 8.811.47 24.82 16.78 9.45

1.58 26.58 16.76 10.08

1.68 28.34 16.75 10.71

1.79 30.10 16.73 11.32

1.89 31.86 16.72 11.92

2.00 33.61 16.70 12.512.10 35.36 16.69 13.092.21 37.12 16.67 13.652.31 38.87 16.66 14.202.42 40.61 16.64 14.742.52 42.36 16.62 15.272.63 44.10 16.61 15.782.73 45.85 16.59 16.282.84 47.59 16.58 16.752.94 49.33 16.56 17.223.05 51.07 16.55 17.663.15 52.80 16.53 18.093.26 54.54 16.52 18.503.36 56.27 16.50 18.893.47 58.00 16.49 19.263.57 59.73 16.47 19.613.68 61.46 16.45 19.943.78 63.19 16.44 20.253.89 64.91 16.42 20.543.99 66.64 16.41 20.804.10 68.36 16.39 21.04

le 04/13/2023 à 03:21:01

4.20 70.08 -7.42 21.264.31 69.30 -7.44 21.454.41 68.52 -7.45 21.624.52 67.74 -7.47 21.774.62 66.95 -7.48 21.894.73 66.16 -7.50 21.994.83 65.38 -7.52 22.064.94 64.59 -7.53 22.115.04 63.79 -7.55 22.145.15 63.00 -7.56 22.155.25 62.21 -7.58 22.145.36 61.41 -7.59 22.105.46 60.61 -7.61 22.045.57 59.81 -7.62 21.975.67 59.01 -7.64 21.875.78 58.21 -7.65 21.755.88 57.40 -7.67 21.615.99 56.60 -7.69 21.456.09 55.79 -7.70 21.276.20 54.98 -7.72 21.076.30 54.17 -7.73 20.856.41 53.36 -7.75 20.626.51 52.54 -7.76 20.366.62 51.73 -7.78 20.096.72 50.91 -7.79 19.806.83 50.09 -7.81 19.496.93 49.27 -7.82 19.167.04 48.45 -7.84 18.827.14 47.62 -7.85 18.457.25 46.80 -7.87 18.087.35 45.97 -7.89 17.687.46 45.14 -7.90 17.277.56 44.31 -7.92 16.857.67 43.48 -7.93 16.417.77 42.64 -7.95 15.957.88 41.81 -7.96 15.487.98 40.97 -7.98 15.008.09 40.13 -7.99 14.508.19 39.29 -8.01 13.988.30 38.45 -8.02 13.468.40 37.61 -8.04 12.928.51 36.76 -8.06 12.368.61 35.92 -8.07 11.808.72 35.07 -8.09 11.228.82 34.22 -8.10 10.638.93 33.37 -8.12 10.039.03 32.11 -21.73 9.419.14 29.82 -21.75 8.799.24 27.54 -21.76 8.159.35 25.25 -21.78 7.509.45 22.97 -21.79 6.85

le 04/13/2023 à 03:21:01

9.56 20.68 -21.81 6.199.66 18.39 -21.83 5.529.77 16.09 -21.84 4.849.87 13.80 -21.86 4.169.98 11.50 -21.87 3.4810.08 9.21 -21.89 2.7810.19 6.91 -21.90 2.0910.29 4.61 -21.92 1.4010.40 2.30 -21.93 0.7010.50 0.01 -21.95 0.0010.50 0.00 -21.95 0.00 21.95

le 04/13/2023 à 03:21:01

Calcul des efforts dans une poutre continue IPE 550



m m t m t / m m t / m m tm12.000 2.500 20.000 0.000 0.140 12.000 0.140

x? 2.2 m x? 10.5 m

Mt= 35.69 tm Mt= 7.64 tmT= 16.37 t T= -4.79 t



16.9 kg/mm2 Flèche max= 33.3 mm 1/360 23.8 mm 1/505PP= 105.52 kg/m Réaction max= 16675 kg 3.1 Hz(G+Q) 3.7 Hz(G+Q)

L totale= 12.0 m

s=

0.0 2.0 4.0 6.0 8.0 10.0 12.00.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

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35.0


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0.0 2.0 4.0 6.0 8.0 10.0 12.00.0

5.0

10.0

15.0

20.0

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30.0

35.0

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45.0

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35.0


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pAbscisse Moment Tranchant Flèche Réaction

m tm t mm t0.00 0.00 16.68 0.00 16.680.12 2.00 16.66 1.290.24 4.00 16.64 2.580.36 5.99 16.62 3.870.48 7.99 16.61 5.150.60 9.98 16.59 6.430.72 11.97 16.57 7.690.84 13.96 16.56 8.940.96 15.94 16.54 10.181.08 17.93 16.52 11.401.20 19.91 16.51 12.601.32 21.89 16.49 13.781.44 23.87 16.47 14.94

1.56 25.84 16.46 16.071.68 27.82 16.44 17.18

1.80 29.79 16.42 18.26

1.92 31.76 16.41 19.31

2.04 33.73 16.39 20.33

2.16 35.69 16.37 21.31

2.28 37.66 16.36 22.252.40 39.62 16.34 23.162.52 41.18 -3.68 24.032.64 40.73 -3.70 24.852.76 40.29 -3.71 25.642.88 39.84 -3.73 26.383.00 39.39 -3.75 27.083.12 38.94 -3.76 27.743.24 38.49 -3.78 28.363.36 38.04 -3.80 28.953.48 37.58 -3.81 29.493.60 37.12 -3.83 29.993.72 36.66 -3.85 30.463.84 36.20 -3.86 30.893.96 35.73 -3.88 31.284.08 35.27 -3.90 31.644.20 34.80 -3.91 31.964.32 34.33 -3.93 32.244.44 33.86 -3.95 32.494.56 33.38 -3.96 32.71

le 04/13/2023 à 03:21:01

4.68 32.90 -3.98 32.894.80 32.43 -4.00 33.044.92 31.94 -4.02 33.155.04 31.46 -4.03 33.235.16 30.98 -4.05 33.285.28 30.49 -4.07 33.305.40 30.00 -4.08 33.295.52 29.51 -4.10 33.245.64 29.02 -4.12 33.175.76 28.52 -4.13 33.065.88 28.03 -4.15 32.936.00 27.53 -4.17 32.776.12 27.03 -4.18 32.586.24 26.52 -4.20 32.366.36 26.02 -4.22 32.126.48 25.51 -4.23 31.856.60 25.00 -4.25 31.556.72 24.49 -4.27 31.236.84 23.98 -4.28 30.886.96 23.46 -4.30 30.507.08 22.94 -4.32 30.117.20 22.43 -4.34 29.697.32 21.90 -4.35 29.257.44 21.38 -4.37 28.787.56 20.86 -4.39 28.297.68 20.33 -4.40 27.797.80 19.80 -4.42 27.267.92 19.27 -4.44 26.718.04 18.73 -4.45 26.148.16 18.20 -4.47 25.558.28 17.66 -4.49 24.958.40 17.12 -4.50 24.328.52 16.58 -4.52 23.688.64 16.04 -4.54 23.028.76 15.49 -4.55 22.348.88 14.94 -4.57 21.659.00 14.39 -4.59 20.959.12 13.84 -4.60 20.239.24 13.29 -4.62 19.499.36 12.73 -4.64 18.749.48 12.18 -4.66 17.989.60 11.62 -4.67 17.209.72 11.06 -4.69 16.429.84 10.49 -4.71 15.629.96 9.93 -4.72 14.8110.08 9.36 -4.74 13.9910.20 8.79 -4.76 13.1710.32 8.22 -4.77 12.3310.44 7.64 -4.79 11.48

le 04/13/2023 à 03:21:01

10.56 7.07 -4.81 10.6310.68 6.49 -4.82 9.7710.80 5.91 -4.84 8.9010.92 5.33 -4.86 8.0311.04 4.74 -4.87 7.1511.16 4.16 -4.89 6.2711.28 3.57 -4.91 5.3811.40 2.98 -4.92 4.4911.52 2.39 -4.94 3.6011.64 1.79 -4.96 2.7011.76 1.20 -4.98 1.8011.88 0.60 -4.99 0.9012.00 0.00 -5.01 0.0012.00 0.00 -5.01 0.00 5.01

le 04/13/2023 à 03:21:01




m m t m t / m m t / m m tm19.000 8.900 28.000 0.000 0.000 19.000 0.000

10.100 28.000 0.000 1.580 19.000 1.580

x? 2.2 m x? 10.5 m

Mt= 86.44 tm Mt= 309.98 tmT= 39.71 t T= -29.50 t

Moment max positif= ###


84.9 kg/mm2 Flèche max= 255.8 mm 1/74 ### 1/104PP= 110.53 kg/m Réaction max= 43010 kg 1.1 Hz(G+Q) 1.3 Hz(G+Q)

L totale= 19.0 m

s=

0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.00.0

50.0

100.0

150.0

200.0

250.0

300.0

350.0

0.0

50.0

100.0

150.0

200.0

250.0

300.0


M e

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m

P3

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0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.00.0

50.0

100.0

150.0

200.0

250.0

300.0

350.0

0.0

50.0

100.0

150.0

200.0

250.0

300.0


M e

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P3

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0.00 0.00 43.01 0.00 43.010.19 8.14 42.71 7.810.38 16.23 42.41 15.620.57 24.26 42.11 23.410.76 32.23 41.81 31.180.95 40.15 41.51 38.931.14 48.00 41.21 46.631.33 55.81 40.91 54.301.52 63.55 40.61 61.921.71 71.24 40.31 69.481.90 78.87 40.01 76.982.09 86.44 39.71 84.422.28 93.96 39.41 91.77

2.47 101.41 39.11 99.052.66 108.82 38.81 106.24

2.85 116.16 38.51 113.33

3.04 123.45 38.21 120.32

3.23 130.68 37.91 127.21

3.42 137.85 37.61 133.98

3.61 144.97 37.31 140.633.80 152.03 37.01 147.163.99 159.03 36.71 153.554.18 165.98 36.41 159.814.37 172.87 36.11 165.924.56 179.70 35.81 171.894.75 186.47 35.51 177.694.94 193.19 35.20 183.345.13 199.85 34.90 188.815.32 206.45 34.60 194.125.51 213.00 34.30 199.245.70 219.49 34.00 204.185.89 225.92 33.70 208.936.08 232.30 33.40 213.486.27 238.62 33.10 217.836.46 244.88 32.80 221.976.65 251.08 32.50 225.906.84 257.23 32.20 229.617.03 263.32 31.90 233.107.22 269.35 31.60 236.36

le 04/13/2023 à 03:21:02

7.41 275.33 31.30 239.397.60 281.25 31.00 242.187.79 287.11 30.70 244.727.98 292.91 30.40 247.028.17 298.66 30.10 249.068.36 304.35 29.80 250.848.55 309.98 29.50 252.358.74 315.56 29.20 253.608.93 320.24 0.90 254.579.12 320.38 0.60 255.279.31 320.47 0.30 255.699.50 320.50 0.00 255.839.69 320.47 -0.30 255.699.88 320.38 -0.60 255.2710.07 320.24 -0.90 254.5710.26 315.56 -29.20 253.6010.45 309.98 -29.50 252.3510.64 304.35 -29.80 250.8410.83 298.66 -30.10 249.0611.02 292.91 -30.40 247.0211.21 287.11 -30.70 244.7211.40 281.25 -31.00 242.1811.59 275.33 -31.30 239.3911.78 269.35 -31.60 236.3611.97 263.32 -31.90 233.1012.16 257.23 -32.20 229.6112.35 251.08 -32.50 225.9012.54 244.88 -32.80 221.9712.73 238.62 -33.10 217.8312.92 232.30 -33.40 213.4813.11 225.92 -33.70 208.9313.30 219.49 -34.00 204.1813.49 213.00 -34.30 199.2413.68 206.45 -34.60 194.1213.87 199.85 -34.90 188.8114.06 193.19 -35.20 183.3414.25 186.47 -35.51 177.6914.44 179.70 -35.81 171.8914.63 172.87 -36.11 165.9214.82 165.98 -36.41 159.8115.01 159.03 -36.71 153.5515.20 152.03 -37.01 147.1615.39 144.97 -37.31 140.6315.58 137.85 -37.61 133.9815.77 130.68 -37.91 127.2115.96 123.45 -38.21 120.3216.15 116.16 -38.51 113.3316.34 108.82 -38.81 106.2416.53 101.41 -39.11 99.0516.72 93.96 -39.41 91.77

le 04/13/2023 à 03:21:02

16.91 86.44 -39.71 84.4217.10 78.87 -40.01 76.9817.29 71.24 -40.31 69.4817.48 63.55 -40.61 61.9217.67 55.81 -40.91 54.3017.86 48.00 -41.21 46.6318.05 40.15 -41.51 38.9318.24 32.23 -41.81 31.1818.43 24.26 -42.11 23.4118.62 16.23 -42.41 15.6218.81 8.14 -42.71 7.8119.00 0.04 -43.01 0.0419.00 0.00 -43.01 0.00 43.01

le 04/13/2023 à 03:21:02




m m t m t / m m t / m m tm0.000 0.000 0.000 0.000

x? 2.2 m x? 10.5 m

Mt= 2.15 tm Mt= 0.00 tmT= 0.70 t T= -1.25 t



0.8 kg/mm2 Flèche max= 1.8 mm 1/0 1.3 mm 1/0PP= 110.53 kg/m Réaction max= 1251 kg ### 15.8 Hz(G+Q)

L totale= 0.0 m

s=

0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.00.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

-0.5

0.0

0.5

1.0

1.5

2.0


M e

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le 04/13/2023 à 03:21:02

0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.00.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

-0.5

0.0

0.5

1.0

1.5

2.0


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le 04/13/2023 à 03:21:02

Découpage des travées #VALUE!


0.00 0.00 1.25 0.00 1.250.10 0.12 1.23 0.060.20 0.25 1.20 0.120.30 0.36 1.18 0.180.40 0.48 1.15 0.230.50 0.59 1.13 0.290.60 0.71 1.10 0.350.70 0.81 1.08 0.410.80 0.92 1.05 0.460.90 1.02 1.03 0.521.00 1.13 1.00 0.571.10 1.23 0.98 0.631.20 1.32 0.95 0.68

1.30 1.42 0.93 0.741.40 1.51 0.90 0.79

1.50 1.60 0.88 0.84

1.60 1.68 0.85 0.89

1.70 1.77 0.83 0.94

1.80 1.85 0.80 0.99

1.90 1.93 0.78 1.042.00 2.00 0.75 1.092.10 2.08 0.73 1.132.20 2.15 0.70 1.182.30 2.22 0.68 1.222.40 2.28 0.65 1.262.50 2.35 0.63 1.302.60 2.41 0.60 1.342.70 2.47 0.58 1.382.80 2.52 0.55 1.422.90 2.58 0.53 1.453.00 2.63 0.50 1.493.10 2.68 0.48 1.523.20 2.72 0.45 1.553.30 2.77 0.43 1.583.40 2.81 0.40 1.613.50 2.85 0.38 1.633.60 2.88 0.35 1.663.70 2.92 0.33 1.683.80 2.95 0.30 1.703.90 2.98 0.28 1.72

le 04/13/2023 à 03:21:02

4.00 3.00 0.25 1.744.10 3.03 0.23 1.764.20 3.05 0.20 1.774.30 3.07 0.18 1.794.40 3.08 0.15 1.804.50 3.10 0.13 1.814.60 3.11 0.10 1.814.70 3.12 0.08 1.824.80 3.12 0.05 1.824.90 3.13 0.03 1.835.00 3.13 0.00 1.835.10 3.13 -0.03 1.835.20 3.12 -0.05 1.825.30 3.12 -0.08 1.825.40 3.11 -0.10 1.815.50 3.10 -0.13 1.815.60 3.08 -0.15 1.805.70 3.07 -0.18 1.795.80 3.05 -0.20 1.775.90 3.03 -0.23 1.766.00 3.00 -0.25 1.746.10 2.98 -0.28 1.726.20 2.95 -0.30 1.706.30 2.92 -0.33 1.686.40 2.88 -0.35 1.666.50 2.85 -0.38 1.636.60 2.81 -0.40 1.616.70 2.77 -0.43 1.586.80 2.72 -0.45 1.556.90 2.68 -0.48 1.527.00 2.63 -0.50 1.497.10 2.58 -0.53 1.457.20 2.52 -0.55 1.427.30 2.47 -0.58 1.387.40 2.41 -0.60 1.347.50 2.35 -0.63 1.307.60 2.28 -0.65 1.267.70 2.22 -0.68 1.227.80 2.15 -0.70 1.187.90 2.08 -0.73 1.138.00 2.00 -0.75 1.098.10 1.93 -0.78 1.048.20 1.85 -0.80 0.998.30 1.77 -0.83 0.948.40 1.68 -0.85 0.898.50 1.60 -0.88 0.848.60 1.51 -0.90 0.798.70 1.42 -0.93 0.748.80 1.32 -0.95 0.688.90 1.23 -0.98 0.63

le 04/13/2023 à 03:21:02

9.00 1.13 -1.00 0.579.10 1.02 -1.03 0.529.20 0.92 -1.05 0.469.30 0.81 -1.08 0.419.40 0.71 -1.10 0.359.50 0.59 -1.13 0.299.60 0.48 -1.15 0.239.70 0.36 -1.18 0.189.80 0.25 -1.20 0.129.90 0.12 -1.23 0.0610.00 0.00 -1.25 0.0010.00 0.00 -1.25 0.00 1.25

le 04/13/2023 à 03:21:02




m m t m t / m m t / m m tm2.500 1.250 70.000 0.000 0.000 2.500 0.000

x? 2.2 m x? 10.5 m

Mt= 10.50 tm Mt= 0.00 tmT= -35.00 t T= -35.00 t



11.6 kg/mm2 Flèche max= 1.0 mm 1/2469 0.7 mm 1/3457PP= 110.53 kg/m Réaction max= 35000 kg ### 21.2 Hz(G+Q)

L totale= 2.5 m

s=

0.0 0.5 1.0 1.5 2.0 2.50.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

50.0

0.0

0.2

0.4

0.6

0.8

1.0

1.2


M e

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G9

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0.0 0.5 1.0 1.5 2.0 2.50.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

50.0

0.0

0.2

0.4

0.6

0.8

1.0

1.2


M e

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0.00 0.00 35.00 0.00 35.000.03 0.88 35.00 0.030.05 1.75 35.00 0.060.08 2.63 35.00 0.090.10 3.50 35.00 0.120.13 4.38 35.00 0.150.15 5.25 35.00 0.180.18 6.13 35.00 0.210.20 7.00 35.00 0.240.23 7.88 35.00 0.270.25 8.75 35.00 0.300.28 9.63 35.00 0.330.30 10.50 35.00 0.36

0.33 11.38 35.00 0.390.35 12.25 35.00 0.41

0.38 13.13 35.00 0.44

0.40 14.00 35.00 0.47

0.43 14.88 35.00 0.50

0.45 15.75 35.00 0.52

0.48 16.63 35.00 0.550.50 17.50 35.00 0.580.53 18.38 35.00 0.600.55 19.25 35.00 0.630.58 20.13 35.00 0.650.60 21.00 35.00 0.670.63 21.88 35.00 0.700.65 22.75 35.00 0.720.68 23.63 35.00 0.740.70 24.50 35.00 0.760.73 25.38 35.00 0.780.75 26.25 35.00 0.800.78 27.13 35.00 0.820.80 28.00 35.00 0.840.83 28.88 35.00 0.860.85 29.75 35.00 0.870.88 30.63 35.00 0.890.90 31.50 35.00 0.900.93 32.38 35.00 0.920.95 33.25 35.00 0.93

le 04/13/2023 à 03:21:02

0.98 34.13 35.00 0.941.00 35.00 35.00 0.961.03 35.88 35.00 0.971.05 36.75 35.00 0.981.08 37.63 35.00 0.981.10 38.50 35.00 0.991.13 39.38 35.00 1.001.15 40.25 35.00 1.001.18 41.13 35.00 1.011.20 42.00 35.00 1.011.23 42.88 35.00 1.011.25 43.75 -35.00 1.011.28 42.88 -35.00 1.011.30 42.00 -35.00 1.011.33 41.13 -35.00 1.011.35 40.25 -35.00 1.001.38 39.38 -35.00 1.001.40 38.50 -35.00 0.991.43 37.63 -35.00 0.981.45 36.75 -35.00 0.981.48 35.88 -35.00 0.971.50 35.00 -35.00 0.961.53 34.13 -35.00 0.941.55 33.25 -35.00 0.931.58 32.38 -35.00 0.921.60 31.50 -35.00 0.901.63 30.63 -35.00 0.891.65 29.75 -35.00 0.871.68 28.88 -35.00 0.861.70 28.00 -35.00 0.841.73 27.13 -35.00 0.821.75 26.25 -35.00 0.801.78 25.38 -35.00 0.781.80 24.50 -35.00 0.761.83 23.63 -35.00 0.741.85 22.75 -35.00 0.721.88 21.88 -35.00 0.701.90 21.00 -35.00 0.671.93 20.13 -35.00 0.651.95 19.25 -35.00 0.631.98 18.38 -35.00 0.602.00 17.50 -35.00 0.582.03 16.63 -35.00 0.552.05 15.75 -35.00 0.522.08 14.88 -35.00 0.502.10 14.00 -35.00 0.472.13 13.13 -35.00 0.442.15 12.25 -35.00 0.412.18 11.38 -35.00 0.392.20 10.50 -35.00 0.36

le 04/13/2023 à 03:21:02

2.23 9.63 -35.00 0.332.25 8.75 -35.00 0.302.28 7.88 -35.00 0.272.30 7.00 -35.00 0.242.33 6.13 -35.00 0.212.35 5.25 -35.00 0.182.38 4.38 -35.00 0.152.40 3.50 -35.00 0.122.43 2.63 -35.00 0.092.45 1.75 -35.00 0.062.48 0.88 -35.00 0.032.50 0.00 -35.00 0.002.50 0.00 -35.00 0.00 35.00

TOUS PRS

pour recopier le profil cliquer sur PRS

0 tableau profil retenuht acier= 800.0

hauteur trou? ha1= 380 âme au-dessus du trouexcentricité? 0.0 mm ha2= 380 âme en-dessous du trou

Ht? 800.0 mm de1= 790pour supprimer une semelle faire b1? 200.0 mm ht= de2= 10

ei=0 avec bi<>0 e1? 20.0 mm b= dea1= 590b2? 200.0 mm ea (tw)= dea2= 210e2? 20.0 mm es (tf)= Se1= 4000ea? 8.0 mm r= Se2= 4000ha= 760.0 mm Sea1= 3040

b? e? e retenue b retenue Sea2= 3040plat rajouté sur b1 20.0 mm 200.0 mm Mst acier= 5632000plat rajouté sur b2 20.0 mm 200.0 mm A.N.E acier= 400

ht fictif= 800.00 mm 3762517333

S acier= 140.8 cm2 glissement pour 7,000 kg ? S acier= 14080Inertie= 150,972 cm4

rx= 32.7 cmWel fibre sup= 3774.3 cm3

Wel fibre inf= 3774.3 cm3 Sc= 0

40.0 cm 0.00

40.0 cm fe? 24.0 kg/mm2 Wpl= 0.00wpl= 4275.2 cm3 tranchant adm(CM66)= 94753 kg

Mrd= 102605 kgm Sc= 7040Inertie y= 2,670 cm4 Mel= 90583 kgm 96.36Iy/v1= 267.0 cm3 Wpl= 4275Iy/v2= 267.0 cm3 périmètre sans la face sup= 2184.0 mm

ry= 4.4 cm périmètre avec la face sup= 2384.0 mm hauteur sem en compression= 35.20000

J= 0.00 cm4 hauteur âme en compression= 380.00

Massivité sans la face sup= 155 m-1Md? 23000 kgm Massivité avec la face sup= 169 m-1Kd= 0.219 Massivité âme seule= 253 m-1 exposant= 2.00

Madm= 22443 kgmSection congé sup= 0

PP= 110.53 kg/m Epaisseur semelle equivalente= 0

Inertie acier/D=

semelle sup b1*e1=

semelle inf b2*e2=

A.N.E/D= Sc/D'=A.N.plastique/D=

Sc/D'=

de1

ht

e2*b2

hahaea

dea

D

D'e1*b1

F7

excentricité par rapport au cdg de l'âme seule négatif vers le bas

I16

l'épaisseur retenue tient compte des congés du profilé

G26

calculé à partir du tableau PRS

TOUS PRS

plat extérieurplat intérieur

2 1âme au-dessus du trou plat sup plat infâme en-dessous du trou extérieur extérieur ht fictif= 800.00 mm

extérieur intérieur ht fictif= 800.0 mmintérieur extérieur ht fictif= 800.0 mm

cas âme comprimée intérieur intérieur ht fictif= 800.0 mm

ha1 comprimé= 380ha2 comprimé= 0

ha2 comprimé réel= 0he2comprimé= 0

section comprimée= 7040

678400

96.3636364

section tendue

he1 tendue= 0.00

ha1 tendue= 0ha2 tendue= 380he2 tendue= 20

ht= 400.00de1= 400dha1= 400dha2 210de2= 10

section tendue= 704096.3636364

A.N.plastique dans e1 0.00A.N.plastique dans ha1 0.00A.N.plastique dans ha2 400A.N.plastique dans e2 0

Itf1= 49.9733613Itf2= 49.9733613Itw= 12.9706667Itr1= 1.12306422Itr2= 1.12306422

J= 0

Mt de Fc/D'=

Fc/D'=

A.N.E acier tendu/D=

profil+plat

0 le profil ci-dessous est celui décrit dans "TOUS PRS" dans la colonne PRSht acier= 800.0

hauteur trou= 0.0 mm ha1= 380 âme au-dessus du trouexcentricité= 0.0 mm ha2= 380 âme en-dessous du trou

Ht= 800.0 mm de1= 790b1= 200.0 mm de2= 10e1= 20.0 mm dea1= 590b2= 200.0 mm dea2= 210e2= 20.0 mm Se1= 4000ea= 8.0 mm Se2= 4000ha= 760.0 mm Sea1= 3040

Sea2= 3040Mst acier= 5632000

A.N.E acier= 4003762517333

S acier= 140.8 cm2 S acier= 14080Inertie= 150,972 cm4

rx= 32.7 cmWel fibre sup= 3774.3 cm3

Wel fibre inf= 3774.3 cm3 Sc= 0

40.0 cm 0.00

40.0 cm fe? 24.0 kg/mm2 Wpl= 0.00wpl= 4275.2 cm3 tranchant adm(CM66)= 94753 kg

Mrd= 102605 kgm Sc= 7040Inertie y= 2,670 cm4 Mel= 90583 kgm 96.36Iy/v1= 267.0 cm3 Wpl= 4275Iy/v2= 267.0 cm3 périmètre sans la face sup= 2184.0 mm

ry= 4.4 cm périmètre avec la face sup= 2384.0 mm hauteur sem en compression= 35.20000

J= 115.16 cm hauteur âme en compression= 380.00

Massivité sans la face sup= 155 m-1Md? 30000 kgm Massivité avec la face sup= 169 m-1Kd= 0.281 Massivité âme seule= 253 m-1 exposant= 2.00

Madm= 28794 kgmSection congé sup= 0

Epaisseur semelle equivalente= 0

Inertie acier/D=

A.N.E/D= Sc/D'=A.N.plastique/D=

Sc/D'=

de1

ht

e2*b2

hahaea

dea

D

D'e1*b1

profil+plat

âme au-dessus du trouâme en-dessous du trou

cas âme comprimée

ha1 comprimé= 380ha2 comprimé= 0

ha2 comprimé réel= 0he2comprimé= 0

section comprimée= 7040

678400

96.3636364

section tendue

he1 tendue= 0.00

ha1 tendue= 0ha2 tendue= 380he2 tendue= 20

ht= 400.00de1= 400dha1= 400dha2 210de2= 10

section tendue= 704096.3636364

A.N.plastique dans e1 0.00A.N.plastique dans ha1 0.00A.N.plastique dans ha2 400A.N.plastique dans e2 0

Itf1= 49.9733613Itf2= 49.9733613Itw= 12.9706667Itr1= 1.12306422Itr2= 1.12306422

J= 115.163518

Mt de Fc/D'=

Fc/D'=

A.N.E acier tendu/D=

CALCUL DES TUBES entrées en mm résultats en cm

Diam? 355.60 mm TUBES CIRCULAIRESépai.? 6.00 mm

Ix Iy Ix/v Iy/v Aire rx ry10070.55 10070.55 566.40 566.40 65.90 12.36 12.36

51.40 kg/m

H? 200.00 mm 100 TUBES RECTANGULAIRES B? 200.00 mmép.? 10.00 mm

Ix Iy Ix/v Iy/v Aire rx ry4585.33 4585.33 458.53 458.53 76.00 7.77 7.77

59.28 kg/m

35.560.6

34.36 J Z 34.96

20135.17 733.39 2020119191818

J Z6859.00 542.00

Arbed

1 2 3 4 559

Tous PRS PRS 1 0 0 0 0 0Poteaux HEA 100 21 96 100 5 8 12

P1 PRS 3 0 0 0 0 0P2 IPE 550 20 550 210 11.1 17.2 24

P3 PRS 3 0 0 0 0 0P4 PRS 3 0 0 0 0 0P5 PRS 3 0 0 0 0 0

h b a ou Vw e ou Vf rTUBE RECTTUBE ROND

PRSIPE 80 80 46 3.8 5.2 5IPE 100 100 55 4.1 5.7 7IPE 120 120 64 4.4 6.3 7IPE 140 140 73 4.7 6.9 7IPE 160 160 82 5.0 7.4 9IPE 180 180 91 5.3 8.0 9IPE 200 200 100 5.6 8.5 12IPE 220 220 110 5.9 9.2 12IPE 240 240 120 6.2 9.8 15IPE 270 270 135 6.6 10.2 15IPE 300 300 150 7.1 10.7 15IPE 330 330 160 7.5 11.5 18IPE 360 360 170 8.0 12.7 18IPE 400 400 180 8.6 13.5 21IPE 450 450 190 9.4 14.6 21IPE 500 500 200 10.2 16.0 21IPE 550 550 210 11.1 17.2 24IPE 600 600 220 12.0 19.0 24

h b a ou Vw e ou Vf rHEA 100 96 100 5.0 8.0 12HEA 120 114 120 5.0 8.0 12HEA 140 133 140 5.5 8.5 12HEA 160 152 160 6.0 9.0 15HEA 180 171 180 6.0 9.5 15HEA 200 190 200 6.5 10.0 18HEA 220 210 220 7.0 11.0 18HEA 240 230 240 7.5 12.0 21HEA 260 250 260 7.5 12.5 24HEA 280 270 280 8.0 13.0 24HEA 300 290 300 8.5 14.0 27HEA 320 310 300 9 15.5 27HEA 340 330 300 9.5 16.5 27HEA 360 350 300 10.0 17.5 27HEA 400 390 300 11.0 19.0 27HEA 450 440 300 11.5 21.0 27HEA 500 490 300 12.0 23.0 27HEA 550 540 300 12.5 24.0 27

Arbed

HEA 600 590 300 13.0 25.0 27HEA 650 640 300 13.5 26.0 27HEA 700 690 300 14.5 27.0 27HEA 800 790 300 15.0 28.0 30HEA 900 890 300 16.0 30.0 30HEA 1000 990 300 16.5 31.0 30

h b a ou Vw e ou Vf rHEB 100 100 100 6.0 10.0 12HEB 120 120 120 6.5 11.0 12HEB 140 140 140 7.0 12.0 12HEB 160 160 160 8.0 13.0 15HEB 180 180 180 8.5 14.0 15HEB 200 200 200 9.0 15.0 18HEB 220 220 220 9.5 16.0 18HEB 240 240 240 10.0 17.0 21HEB 260 260 260 10.0 17.5 24HEB 280 280 280 10.5 18.0 24HEB 300 300 300 11.0 19.0 27HEB 320 320 300 11.5 20.5 27HEB 340 340 300 12.0 21.5 27HEB 360 360 300 12.5 22.5 27HEB 400 400 300 13.5 24.0 27HEB 450 450 300 14.0 26.0 27HEB 500 500 300 14.5 28.0 27HEB 550 550 300 15.0 29.0 27HEB 600 600 300 15.5 30.0 27HEB 650 650 300 16.0 31.0 27HEB 700 700 300 17.0 32.0 27HEB 800 800 300 17.5 33.0 30HEB 900 900 300 18.5 35.0 30HEB 1000 1000 300 19.0 36.0 30

h b a ou Vw e ou Vf rHEM 100 120 106 12.0 20.0 12HEM 120 140 126 12.5 21.0 12HEM 140 160 146 13.0 22.0 12HEM 160 180 166 14.0 23.0 15HEM 180 200 186 14.5 24.0 15HEM 200 220 206 15.0 25.0 18HEM 220 240 226 15.5 26.0 18HEM 240 270 248 18.0 32.0 21HEM 260 290 268 18.0 32.5 24HEM 280 310 288 18.5 33.0 24HEM 300C 320 305 16.0 29.0 27HEM 300 340 310 21.0 39.0 27HEM 320 359 309 21.0 40 27HEM 340 377 309 21.0 40 27HEM 360 395 308 21.0 40 27HEM 400 432 307 21.0 40 27HEM 450 478 307 21.0 40 27HEM 500 524 306 21.0 40 27HEM 550 572 306 21.0 40 27HEM 600 620 305 21.0 40 27HEM 650 668 305 21.0 40 27HEM 700 716 304 21.0 40 27

Arbed

HEM 800 814 303 21.0 40 30HEM 900 910 302 21.0 40 30HEM 1000 1008 302 21.0 40 30

h b a ou Vw e ou Vf rIAO 100 100 42 4.0 6.5 0IAO 100R 100 51 13.0 6.5 0IAO 120 120 44 4.5 6.8 0IAO 120R 120 49 9.5 6.8 0IAO 140 140 47 4.5 7.5 0IAO 140R 140 52 9.5 7.5 0IAO 160 160 51 5.0 8.2 0IAO 160R 160 56 10.0 8.2 0IAO 250 250 100 10.0 12.5 0IAO 250R 250 105 15.0 12.5 0

h b a ou Vw e ou Vf rIPN 80 80 42 3.9 5.9 3.9IPN 100 100 50 4.5 6.8 4.5IPN 120 120 58 5.1 7.7 5.1IPN 140 140 66 5.7 8.6 5.7IPN 160 160 74 6.3 9.5 6.3IPN 180 180 82 6.9 10.4 6.9IPN 200 200 90 7.5 11.3 7.5IPN 220 220 98 8.1 12.2 8.1IPN 240 240 106 8.7 13.1 8.7IPN 260 260 113 9.4 14.1 9.4IPN 280 280 119 10.1 15.2 10.1IPN 300 300 125 10.8 16.2 10.8IPN 320 320 131 11.5 17.3 11.5IPN 340 340 137 12.2 18.3 12.2IPN 360 360 143 13.0 19.5 13.0IPN 380 380 149 13.7 20.5 13.7IPN 400 400 155 14.4 21.6 14.4IPN 425 425 163 15.3 23.0 15.3IPN 450 450 170 16.2 24.3 16.2IPN 475 475 178 17.1 25.6 17.1IPN 500 500 185 18.0 27.0 18.0IPN 550 550 200 19.0 30.0 19.0IPN 600 600 215 21.6 32.4 21.6

h b a ou Vw e ou Vf rIPE-A 80 78 46 3.3 4.2 5IPE-A 100 98 55 3.6 4.7 7IPE-A 120 117.6 64 3.8 5.1 7IPE-A 140 137.4 73 3.8 5.6 7IPE-A 160 157 82 4.0 5.9 9IPE-A 180 177 91 4.3 6.5 9IPE-A 200 197 100 4.5 7.0 12IPE-A 220 217 110 5.0 7.7 12IPE-A 240 237 120 5.2 8.3 15IPE-A 270 267 135 5.5 8.7 15IPE-A 300 297 150 6.1 9.2 15IPE-A 330 327 160 6.5 10 18IPE-A 360 357.6 170 6.6 11.5 18IPE-A 400 397 180 7.0 12.0 21IPE-A 450 447 190 7.6 13.1 21

Arbed

IPE-A 500 497 200 8.4 14.5 21IPE-A 550 547 237 9.0 15.7 24IPE-A 600 597 220 9.8 17.5 24

h b a ou Vw e ou Vf rIPE-R 140 142 72 5.3 7.8 7IPE-R 160 162 81 5.6 8.5 9IPE-R 180 183 89 6.4 9.5 9IPE-R 200 204 98 6.6 10.5 12IPE-R 220 225 108 6.7 11.8 12IPE-R 240 245 118 7.5 12.3 15IPE-R 270 276 133 7.7 13.1 15IPE-R 300 306 147 8.5 13.7 15IPE-R 330 336 158 9.2 14.5 18IPE-R 360 366 168 9.9 16.0 18IPE-R 400 407 178 10.6 17.0 21IPE-R 450 458 188 11.3 18.6 21IPE-R 500 508 198 12.6 20.0 21IPE-R 550 560 237 14.0 22.2 24IPE-R 600 608 218 14.0 23.0 24

h b a ou Vw e ou Vf rIPE-O 180 182 92 6.0 9.0 9IPE-O 200 202 102 6.2 9.5 12IPE-O 220 222 112 6.6 10.2 12IPE-O 240 242 122 7.0 10.8 15IPE-O 270 274 136 7.5 12.2 15IPE-O 300 304 152 8.0 12.7 15IPE-O 330 334 162 8.5 13.5 18IPE-O 360 364 172 9.2 14.7 18IPE-O 400 404 182 9.7 15.5 21IPE-O 450 456 192 11.0 17.6 21IPE-O 500 506 202 12.0 19.0 21IPE-O 550 556 212 12.7 20.2 24IPE-O 600 610 224 15.0 24.0 24

h b a ou Vw e ou Vf rHEA-A 100 91 100 4.2 5.5 12HEA-A 120 109 120 4.2 5.5 12HEA-A 140 128 140 4.3 6.0 12HEA-A 160 148 160 4.5 7.0 15HEA-A 180 167 180 5.0 7.5 15HEA-A 200 186 200 5.5 8.0 18HEA-A 220 205 220 6.0 8.5 18HEA-A 240 224 240 6.5 9.0 21HEA-A 260 244 260 6.5 9.5 24HEA-A 280 264 280 7.0 10.0 24HEA-A 300 283 300 7.5 10.5 27HEA-A 320 301 300 8 11 27HEA-A 340 320 300 8.5 11.5 27HEA-A 360 339 300 9.0 12.0 27HEA-A 400 378 300 9.5 13.0 27HEA-A 450 425 300 10.0 13.5 27HEA-A 500 472 300 10.5 14.0 27HEA-A 550 522 300 11.5 15.0 27HEA-A 600 571 300 12.0 15.5 27HEA-A 650 620 300 12.5 16.0 27

Arbed

HEA-A 700 670 300 13.0 17.0 27HEA-A 800 770 300 14.0 18.0 30HEA-A 900 870 300 15.0 20.0 30HEA-A 1000 970 300 16.0 21.0 30

h b a ou Vw e ou Vf rUAP 80 80 45 5 8 8UAP100 100 50 5.5 8.5 8.5UAP 130 130 55 6 9.5 9.5UAP 150 150 65 7 10.25 10.25UAP 175 175 70 7.5 10.75 10.75UAP 200 200 75 8 11.5 11.5UAP 220 220 80 8 12.5 12.5UAP 250 250 85 9 13.5 13.5UAP 300 300 100 9.5 16 16

h b a ou Vw e ou Vf rUPN 80 80 45 6 8 8UPN 100 100 50 6 8.5 8.5UPN 120 120 55 7 9 9UPN 140 140 60 7 10 10UPN 160 160 65 7.5 10.5 10.5UPN 180 180 70 8 11 11UPN 200 200 75 8.5 11.5 11.5UPN 220 220 80 9 12.5 12.5UPN 240 240 85 9.5 13 13UPN 260 260 90 10 14 14UPN 280 280 95 10 15 15UPN 300 300 100 10 16 16UPN 320 320 100 14 17.5 17.5UPN 350 350 100 14 16 16UPN 380 380 102 13.5 16 16UPN 400 400 110 14 18 18

h b a ou Vw e ou Vf rUPE 80 80 50 4 7 10UPE 100 100 55 4.5 7.5 10UPE 120 120 60 5 8 12UPE 140 140 65 5 9 12UPE 160 160 70 5.5 9.5 12UPE 180 180 75 5.5 10.5 12UPE 200 200 80 6 11 13UPE 220 220 85 6.5 12 13UPE 240 240 90 7 12.5 15UPE 270 270 95 7.5 13.5 15UPE 300 300 100 9.5 15 15UPE 330 330 105 11 16 18UPE 360 360 110 12 17 18UPE400 400 115 13.5 18 18

PRS

Arbed

6 7 8 9 10 11 12

0 0 0 0 0 0 056 16.67034366 21.23610658 349.2251406 72.75523763 83.01309842 4.055228237

0 0 0 0 0 0 0467.6 105.5165807 134.4160263 67116.51704 2440.60062 2787.005611 22.34545382

0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

A

59.6 6.0 7.6 80 20.0 23.2 3.2474.6 8.1 10.3 171 34.2 39.4 4.0793.4 10.4 13.2 318 53.0 60.7 4.90

112.2 12.9 16.4 541 77.3 88.3 5.74127.2 15.8 20.1 869 108.7 123.9 6.58146 18.8 23.9 1317 146.3 166.4 7.42159 22.4 28.5 1943 194.3 220.6 8.26

177.6 26.2 33.4 2772 252.0 285.4 9.11190.4 30.7 39.1 3892 324.3 366.6 9.97219.6 36.1 45.9 5790 428.9 484.0 11.23248.6 42.2 53.8 8356 557.1 628.4 12.46271 49.1 62.6 11767 713.1 804.3 13.71

298.6 57.1 72.7 16266 903.6 1019.1 14.95331 66.3 84.5 23128 1156.4 1307.1 16.55

378.8 77.6 98.8 33743 1499.7 1701.8 18.48426 90.7 115.5 48199 1927.9 2194.1 20.43

467.6 105.5 134.4 67117 2440.6 2787.0 22.35514 122.4 156.0 92083 3069.4 3512.4 24.30

A56 16.7 21.2 349 72.8 83.0 4.0674 19.9 25.3 606 106.3 119.5 4.8992 24.7 31.4 1033 155.4 173.5 5.73

104 30.4 38.8 1673 220.1 245.1 6.57122 35.5 45.3 2510 293.6 324.9 7.45134 42.3 53.8 3692 388.6 429.5 8.28152 50.5 64.3 5410 515.2 568.5 9.17164 60.3 76.8 7763 675.1 744.6 10.05177 68.2 86.8 10455 836.4 919.8 10.97196 76.4 97.3 13673 1012.8 1112.2 11.86208 88.3 112.5 18263 1259.6 1383.3 12.74225 97.6 124.4 22929 1479.3 1628.1 13.58243 104.8 133.5 27693 1678.4 1850.5 14.40261 112.1 142.8 33090 1890.8 2088.5 15.22298 124.8 159.0 45069 2311.3 2561.8 16.84344 139.8 178.0 63722 2896.4 3215.9 18.92390 155.1 197.5 86975 3550.0 3948.9 20.98438 166.2 211.8 111932 4145.6 4621.8 22.99

h1 Pp Iy Wels,y Wpl,y iy


Arbed

486 177.8 226.5 141208 4786.7 5350.4 24.97534 189.7 241.6 175178 5474.3 6136.3 26.93582 204.5 260.5 215301 6240.6 7031.8 28.75674 224.4 285.8 303443 7682.1 8699.5 32.58770 251.6 320.5 422075 9484.8 10811.0 36.29868 272.3 346.8 553846 11188.8 12824.4 39.96

A56 20.4 26.0 450 89.9 104.2 4.1674 26.7 34.0 864 144.1 165.2 5.0492 33.7 43.0 1509 215.6 245.4 5.93

104 42.6 54.3 2492 311.5 354.0 6.78122 51.2 65.3 3831 425.7 481.4 7.66134 61.3 78.1 5696 569.6 642.5 8.54152 71.5 91.0 8091 735.5 827.0 9.43164 83.2 106.0 11259 938.3 1053.1 10.31177 93.0 118.4 14919 1147.6 1282.9 11.22196 103.1 131.4 19270 1376.4 1534.4 12.11208 117.0 149.1 25166 1677.7 1868.7 12.99225 126.7 161.3 30824 1926.5 2149.2 13.82243 134.2 170.9 36656 2156.3 2408.1 14.65261 141.8 180.6 43193 2399.6 2683.0 15.46298 155.3 197.8 57681 2884.0 3231.7 17.08344 171.1 218.0 79888 3550.6 3982.4 19.14390 187.3 238.6 107176 4287.0 4814.6 21.19438 199.4 254.1 136691 4970.6 5590.6 23.20486 211.9 270.0 171041 5701.4 6425.1 25.17534 224.8 286.3 210616 6480.5 7319.9 27.12582 240.5 306.4 256888 7339.7 8327.1 28.96674 262.3 334.2 359084 8977.1 10228.7 32.78770 291.5 371.3 494065 10979.2 12584.1 36.48868 314.0 400.0 644748 12895.0 14855.1 40.15

A56 41.8 53.2 1143 190.4 235.8 4.6374 52.1 66.4 2018 288.2 350.6 5.5192 63.2 80.6 3291 411.4 493.8 6.39

104 76.2 97.1 5098 566.5 674.6 7.25122 88.9 113.3 7483 748.3 883.4 8.13134 103.1 131.3 10642 967.4 1135.1 9.00152 117.3 149.4 14605 1217.1 1419.4 9.89164 156.7 199.6 24290 1799.2 2116.9 11.03177 172.4 219.6 31307 2159.1 2523.6 11.94196 188.5 240.2 39547 2551.4 2965.6 12.83208 176.7 225.1 40951 2559.4 2926.7 13.49208 237.9 303.1 59201 3482.4 4077.7 13.98225 245.0 312.0 68135 3795.8 4435.0 14.78243 247.9 315.8 76372 4051.5 4717.6 15.55261 250.3 318.8 84867 4297.1 4989.3 16.32298 255.7 325.8 104119 4820.3 5570.6 17.88344 263.3 335.4 131484 5501.4 6331.0 19.80390 270.3 344.3 161929 6180.5 7094.3 21.69438 278.2 354.4 197984 6922.5 7932.7 23.64486 285.5 363.7 237448 7659.6 8772.1 25.55534 293.4 373.7 281668 8433.2 9657.0 27.45582 300.7 383.0 329278 9197.7 10539.0 29.32



Arbed

674 317.3 404.3 442598 10874.6 12487.7 33.09770 332.5 423.6 570434 12537.0 14441.8 36.70868 348.7 444.2 722299 14331.3 16567.9 40.32

A0 7.0 8.9 141 28.3 33.1 3.980 14.1 17.9 216 43.3 55.6 3.470 8.5 10.8 237 39.5 46.6 4.690 13.2 16.8 309 51.5 64.6 4.290 9.9 12.7 383 54.7 64.3 5.500 15.4 19.7 497 71.0 88.8 5.030 12.2 15.5 606 75.7 89.3 6.240 18.5 23.5 776 97.0 121.3 5.740 37.3 47.5 4478 358.2 423.4 9.710 47.1 60.0 5129 410.3 501.6 9.25

A2.3 6.0 7.6 78 19.5 22.8 3.202.7 8.3 10.6 171 34.2 39.8 4.023.1 11.2 14.2 328 54.7 63.6 4.813.4 14.4 18.3 573 81.9 95.4 5.603.8 17.9 22.8 935 116.9 136.0 6.404.1 21.9 27.9 1485 161.0 186.8 7.304.5 26.3 33.5 2140 214.0 250.0 7.994.9 31.1 39.6 3060 278.2 324.0 8.795.2 36.2 46.1 4250 354.2 412.0 9.605.6 41.9 53.4 5740 441.5 514.0 10.376.1 48.0 61.1 7590 542.1 632.0 11.156.5 54.2 69.1 9800 653.3 762.0 11.916.9 61.0 77.7 12510 781.9 914.0 12.697.3 68.1 86.7 15700 923.5 1080.0 13.467.8 76.1 97.0 19610 1089.4 1276.0 14.228.2 84.0 107.0 24010 1263.7 1482.0 14.988.6 92.6 118.0 29210 1460.5 1714.0 15.739.2 106.0 135.0 37963 1786.5 2093.9 16.779.7 115.4 147.0 45850 2037.8 2400.0 17.66

10.3 130.4 166.1 57998 2442.0 2867.9 18.6910.8 140.5 179.0 68740 2749.6 3240.0 19.6011.9 166.4 212.0 99180 3606.5 4240.0 21.6313 203.3 258.9 142694 4756.5 5605.9 23.48

A59.6 5.0 6.4 64 16.5 19.0 3.1874.6 6.9 8.8 141 28.8 33.0 4.0193.4 8.7 11.0 257 43.8 49.9 4.83

112.2 10.5 13.4 435 63.3 71.6 5.70127.2 12.7 16.2 689 87.8 99.1 6.53146 15.4 19.6 1063 120.1 135.3 7.37159 18.4 23.5 1591 161.6 181.7 8.23

177.6 22.2 28.3 2317 213.5 240.2 9.05190.4 26.2 33.3 3290 277.7 311.6 9.94219.6 30.7 39.1 4917 368.3 412.5 11.21248.6 36.5 46.5 7173 483.1 541.8 12.42271 43.0 54.7 10231 625.7 701.9 13.67

298.6 50.2 64.0 14515 811.8 906.8 15.06331 57.4 73.1 20293 1022.3 1143.9 16.66

378.8 67.2 85.5 29759 1331.5 1494.3 18.65




Arbed

426 79.4 101.1 42933 1727.7 1946.0 20.61467.6 98.7 125.8 65964 2411.8 2699.9 22.90514 107.6 137.0 82919 2777.9 3141.2 24.60

A112.4 14.4 18.4 611 86.1 99.1 5.77127 17.7 22.6 989 122.1 140.0 6.62146 22.1 28.1 1554 169.8 195.3 7.44159 26.6 33.9 2363 231.7 265.3 8.35

177.4 31.6 40.2 3474 308.8 351.8 9.29190.4 37.3 47.5 4823 393.7 449.5 10.08219.8 44.0 56.0 7312 529.8 601.6 11.43248.6 51.7 65.9 10498 686.2 779.9 12.62271 60.3 76.8 14688 874.3 994.9 13.83298 70.3 89.6 20288 1108.7 1262.2 15.05331 81.5 103.8 28863 1418.3 1617.7 16.67

378.8 95.2 121.3 42396 1851.4 2114.6 18.70426 111.4 142.0 59933 2359.6 2709.2 20.55

467.6 143.1 182.4 95274 3402.6 3884.8 22.86514 144.4 183.9 110306 3628.5 4174.9 24.49

A146 21.3 27.1 1505 165.4 189.1 7.45159 25.1 32.0 2211 218.9 249.4 8.32

177.6 29.4 37.4 3134 282.3 321.1 9.16190.4 34.3 43.7 4369 361.1 410.3 10.00219.6 42.3 53.8 6947 507.1 574.6 11.36248.6 49.3 62.8 9994 657.5 743.8 12.61271 57.0 72.6 13910 833.0 942.8 13.84

298.6 66.0 84.1 19047 1046.6 1186.1 15.05331 75.7 96.4 26747 1324.1 1502.2 16.66

378.8 92.4 117.7 40923 1794.9 2046.3 18.65426 107.3 136.7 57777 2283.7 2613.0 20.56

467.6 122.5 156.1 79157 2847.4 3263.4 22.52514 154.5 196.8 118302 3878.8 4471.0 24.52

A56 12.2 15.6 237 52.0 58.4 3.8974 14.6 18.6 413 75.8 84.1 4.7292 18.1 23.0 719 112.4 123.8 5.59

104 23.8 30.4 1283 173.4 190.4 6.50122 28.7 36.5 1967 235.6 258.2 7.34134 34.6 44.1 2944 316.6 347.1 8.17152 40.4 51.5 4170 406.9 445.5 9.00164 47.4 60.4 5835 521.0 570.6 9.83177 54.1 69.0 7981 654.1 714.5 10.76196 61.2 78.0 10558 799.8 873.1 11.63208 69.8 88.9 13804 975.6 1065.3 12.46225 74.2 94.6 16447 1092.8 1196.2 13.19243 78.9 100.5 19552 1222.0 1340.9 13.95261 83.7 106.6 23037 1359.1 1495.2 14.70298 92.4 117.7 31252 1653.6 1824.1 16.30344 99.7 127.1 41888 1971.2 2183.3 18.16390 107.4 136.9 54643 2315.4 2576.2 19.98438 120.0 152.8 72871 2792.0 3127.6 21.84486 128.8 164.1 91872 3217.9 3623.1 23.66534 138.0 175.8 113944 3675.6 4159.9 25.46




Arbed

582 149.9 190.9 142721 4260.3 4840.1 27.34674 171.5 218.5 208882 5425.5 6224.8 30.92770 198.0 252.2 301145 6922.9 7998.8 34.55868 221.5 282.2 406451 8380.4 9776.7 37.95

A48 8.4 10.67 107 26.8 31.87 3.1766 10.5 13.38 209.5 41.9 49.59 3.9692 13.7 17.50 459.6 70.7 83.51 5.13

109 17.9 22.84 796.1 106.1 125.3 5.90132 21.2 27.06 1270 145.1 171.5 6.85154 25.1 31.98 1946 194.6 230.1 7.80170 28.5 36.27 2710 246.4 289.9 8.64196 34.4 43.80 4137 331.0 391.8 9.72236 46.0 58.56 8171 544.7 639.3 11.81

A46 8.6 11.00 106 26.5 31.8 3.1064 10.6 13.50 206 41.2 49 3.9182 13.3 17.00 364 60.7 72.6 4.6398 16.0 20.4 605 86.4 103 5.45

115 18.8 24.00 925 116.0 138 6.21133 22.0 28.00 1350 150.0 179 6.94151 25.3 32.20 1910 191.0 228 7.70167 29.4 37.40 2690 244.5 292 8.48184 33.2 42.30 3600 300.0 358 9.23200 37.9 48.30 4820 370.8 442 9.99216 41.8 53.30 6280 448.6 532 10.85232 46.2 58.80 8030 535.3 632 11.69246 59.5 75.80 10870 679.4 826 11.98282 60.7 77.3 12840 733.7 918 12.89313 63.1 80.40 15760 829.5 1014 14.00324 71.8 91.5 20350 1017.5 1240 14.91

A66 7.9 10.1 107.2 26.8 31.23 3.2685 9.82 12.5 206.9 41.4 48.01 4.07

104 12.1 15.4 363.5 60.6 70.33 4.86122 14.5 18.4 599.5 85.6 98.84 5.71141 17 21.7 911.1 113.9 131.6 6.48159 19.7 25.1 1353 150.4 173 7.34178 22.8 29 1909 190.9 220.1 8.11196 26.6 33.9 2682 243.9 281.5 8.9215 30.2 38.5 3599 299.9 346.9 9.67243 35.2 44.8 5255 389.2 451.1 10.83270 44.4 56.6 7823 521.5 613.4 11.76298 53.2 67.8 11010 667.1 791.9 12.74326 61.2 77.9 14830 823.6 982.3 13.79364 72.2 91.9 20980 1049 1263 15.11




Arbed

13 14 15 16 17 18 19

0 0 0 0 0 0 0133.8109791 26.76219582 41.14035454 2.510200583 5.264713196 2581.333333 0

0 0 0 0 0 0 02667.583723 254.0555926 400.5365488 4.454854285 123.8011254 1884098.144 0

0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

IV

8.5 3.7 5.8 1.05 0.70 11815.9 5.8 9.1 1.24 1.21 35127.7 8.6 13.6 1.45 1.74 89044.9 12.3 19.2 1.65 2.46 198168.3 16.7 26.1 1.84 3.62 3959

100.9 22.2 34.6 2.05 4.81 7431142.4 28.5 44.6 2.24 7.02 12988204.9 37.3 58.1 2.48 9.11 22672283.6 47.3 73.9 2.69 12.95 37391419.9 62.2 97.0 3.02 16.02 70578603.8 80.5 125.2 3.35 20.21 125934788.1 98.5 153.7 3.55 28.28 199097

1043.5 122.8 191.1 3.79 37.49 3135801317.8 146.4 229.0 3.95 51.33 4900481675.9 176.4 276.4 4.12 67.18 7910052141.7 214.2 335.9 4.31 89.66 12493652667.6 254.1 400.5 4.45 123.80 18840983387.3 307.9 485.6 4.66 166.12 2845527

IV133.8 26.8 41.1 2.51 5.26 2581230.9 38.5 58.9 3.02 6.02 6472389.3 55.6 84.8 3.52 8.16 15064615.6 76.9 117.6 3.98 12.25 31410924.6 102.7 156.5 4.52 14.86 60211

1335.5 133.6 203.8 4.98 21.09 1080001954.6 177.7 270.6 5.51 28.58 1932662768.8 230.7 351.7 6.00 41.74 3284863667.6 282.1 430.2 6.50 52.62 5163524762.6 340.2 518.1 7.00 62.37 7853676309.6 420.6 641.2 7.49 85.57 11997726985.2 465.7 709.7 7.49 108.43 15123597436.0 495.7 755.9 7.46 127.71 18243647886.8 525.8 802.3 7.43 149.41 21765768563.8 570.9 872.9 7.34 189.76 29420769465.3 631.0 965.5 7.29 244.61 4147629

10367.1 691.1 1058.5 7.24 310.27 564305310819.0 721.3 1106.9 7.15 352.64 7188912

Iz Wels,z Wpl,z iz Iw


Arbed

11271.3 751.4 1155.7 7.05 399.03 897820311723.9 781.6 1204.8 6.97 449.66 1102713312178.8 811.9 1256.7 6.84 515.48 1335190812638.7 842.6 1312.3 6.65 598.88 1829028613547.5 903.2 1414.5 6.50 739.16 2496150014004.5 933.6 1469.7 6.35 825.02 32073875

IV167.3 33.5 51.4 2.53 9.29 3375317.5 52.9 81.0 3.06 13.90 9410549.7 78.5 119.8 3.58 20.13 22479889.2 111.2 170.0 4.05 31.37 47943

1362.8 151.4 231.0 4.57 42.32 937462003.4 200.3 305.8 5.07 59.51 1711252843.3 258.5 393.9 5.59 76.84 2954183922.7 326.9 498.4 6.08 103.07 4869465134.5 395.0 602.2 6.58 124.26 7536516594.5 471.0 717.6 7.09 144.25 11301558562.8 570.9 870.1 7.58 185.77 16877919238.8 615.9 939.1 7.57 225.90 20687129689.9 646.0 985.7 7.53 258.13 2453634

10141.2 676.1 1032.5 7.49 293.49 288325210819.0 721.3 1104.0 7.40 357.00 381715211721.3 781.4 1197.7 7.33 441.92 525844812623.9 841.6 1291.6 7.27 540.10 701769613076.9 871.8 1341.1 7.17 602.16 885576313530.2 902.0 1391.1 7.08 669.18 1096537513984.0 932.3 1441.4 6.99 741.40 1336274014440.9 962.7 1495.0 6.87 833.45 1606406414903.7 993.6 1553.1 6.68 949.12 2184022915815.9 1054.4 1658.3 6.53 1141.11 2946135916275.8 1085.1 1716.3 6.38 1258.36 37636488

IV399.2 75.3 116.3 2.74 68.55 9925702.8 111.6 171.6 3.25 92.05 24786

1144.3 156.8 240.5 3.77 120.46 543291758.8 211.9 325.5 4.26 163.08 1080542580.1 277.4 425.2 4.77 204.00 1993263651.2 354.5 543.2 5.27 260.38 3462585012.0 443.5 678.6 5.79 316.35 5726848152.6 657.5 1005.9 6.39 630.04 1151987

10448.6 779.7 1192.5 6.90 721.50 172834713162.8 914.1 1396.7 7.40 809.94 252022713736.3 900.7 1374.4 7.81 600.33 290316919403.1 1251.8 1913.2 8.00 1412.20 438602819709.3 1275.7 1950.7 7.95 1505.38 500386519710.7 1275.8 1952.7 7.90 1510.94 558449619521.8 1267.6 1942.4 7.83 1512.23 613702119335.5 1259.6 1934.1 7.70 1519.38 741030419339.0 1259.9 1939.2 7.59 1533.58 925149919154.7 1251.9 1932.0 7.46 1543.52 1118674519158.4 1252.2 1937.3 7.35 1558.33 1351563018975.5 1244.3 1930.4 7.22 1568.89 1590758518979.2 1244.5 1935.7 7.13 1583.70 1864951618797.4 1236.7 1928.8 7.01 1594.25 21397493



Arbed

18627.4 1229.5 1930.4 6.79 1650.96 2777528718451.8 1222.0 1928.9 6.60 1676.33 3474626118459.3 1222.5 1939.7 6.45 1706.58 43015036

IV8.1 3.8 6.1 0.95 0.93 175

16.0 6.3 12.1 0.94 8.94 3149.7 4.4 7.1 0.95 1.22 309

14.1 5.8 10.6 0.92 4.42 42713.1 5.6 8.9 1.02 1.65 57018.5 7.1 13.0 0.97 5.37 77118.3 7.2 11.6 1.08 2.40 104425.2 9.0 16.4 1.03 7.24 1383

210.2 42.0 68.1 2.10 20.56 29378247.5 47.1 81.6 2.03 40.97 34009

IV6.3 3.0 5.0 0.91 0.80 100

12.2 4.9 8.1 1.07 1.47 30821.5 7.4 12.4 1.23 2.49 78935.2 10.7 17.9 1.39 3.97 177954.7 14.8 24.9 1.55 6.03 363381.3 19.8 33.2 1.71 8.79 6873

117.0 26.0 43.5 1.87 12.40 12222162.0 33.1 55.7 2.02 17.03 20659221.0 41.7 70.0 2.19 22.85 33469288.0 51.0 85.9 2.32 30.63 51258364.0 61.2 103.0 2.44 40.55 74836451.0 72.2 121.0 2.55 52.06 106184555.0 84.7 143.0 2.67 66.61 148482674.0 98.4 166.0 2.79 83.12 202910818.0 114.4 194.0 2.90 105.52 275465975.0 130.9 221.0 3.02 128.62 365173

1160.0 149.7 253.0 3.14 156.70 4798881674.1 205.4 329.9 3.52 199.16 6707051730.0 203.5 345.0 3.43 246.82 9014652428.1 272.8 439.6 3.82 303.67 12149402480.0 268.1 456.0 3.72 371.08 15936393490.0 349.0 592.0 4.06 521.66 27040005422.1 504.4 817.5 4.58 753.61 4322489

IV6.9 3.0 4.7 1.04 0.42 93

13.1 4.8 7.5 1.22 0.78 28422.4 7.0 11.0 1.42 1.05 70536.4 10.0 15.5 1.65 1.37 157754.4 13.3 20.7 1.83 1.97 309581.9 18.0 28.0 2.05 2.71 5933

117.2 23.4 36.5 2.23 4.13 10529171.4 31.2 48.5 2.46 5.72 18707240.1 40.0 62.4 2.68 8.40 31257358.0 53.0 82.3 3.02 10.35 59506519.0 69.2 107.3 3.34 13.50 107160685.2 85.6 133.3 3.54 19.67 171501944.3 111.1 171.9 3.84 26.62 281992

1170.6 130.1 202.1 4.00 34.96 4322241502.4 158.1 245.7 4.19 45.87 704856




Arbed

1939.2 193.9 301.6 4.38 63.03 11252303492.3 294.7 456.2 5.27 93.87 24581773116.3 283.3 442.1 4.77 119.23 2607364

IV48.8 13.5 21.3 1.63 3.44 218575.7 18.7 29.4 1.83 5.15 4435

112.2 25.2 39.7 2.00 7.81 8400165.7 33.8 53.2 2.21 11.77 15418248.8 46.1 71.8 2.49 16.30 28152338.7 57.4 90.1 2.67 22.76 45597515.8 77.6 121.0 3.03 28.95 88756728.0 99.0 154.5 3.32 37.22 154924957.6 121.2 189.9 3.53 50.99 246314

1269.7 151.2 236.5 3.76 69.07 3872331606.0 180.4 283.6 3.93 92.82 6076132069.5 220.2 346.0 4.13 122.86 9942492600.4 262.7 414.8 4.28 163.86 15404734945.8 417.4 654.9 5.21 263.84 35614623992.8 366.3 580.2 4.66 271.65 3397800

IV117.3 25.5 39.9 2.08 6.78 8740168.9 33.1 51.9 2.30 9.49 15566239.8 42.8 66.9 2.53 12.32 26785328.5 53.9 84.4 2.74 17.27 43678513.5 75.5 117.7 3.09 25.01 87640745.7 98.1 152.6 3.45 31.18 157690960.4 118.6 185.0 3.64 42.35 245654

1251.2 145.5 226.9 3.86 55.99 3802671564.2 171.9 269.1 4.03 73.44 5876472085.4 217.2 341.0 4.21 109.51 9975762621.7 259.6 408.5 4.38 144.05 15475853224.4 304.2 480.5 4.55 188.33 23022534520.8 403.6 640.1 4.79 319.40 3859573

IV92.1 18.4 28.4 2.43 2.53 1675

158.8 26.5 40.6 2.93 2.80 4242274.8 39.3 59.9 3.45 3.56 10210478.7 59.8 91.4 3.97 6.36 23751730.0 81.1 123.6 4.47 8.37 46365

1068.5 106.8 163.2 4.92 12.76 844911510.5 137.3 209.3 5.42 16.01 1456132077.0 173.1 264.4 5.87 23.11 2396302788.0 214.5 327.7 6.36 30.49 3825763664.2 261.7 399.4 6.85 36.42 5901064733.5 315.6 482.3 7.30 49.63 8771524959.1 330.6 505.7 7.24 56.19 10407385184.7 345.6 529.3 7.18 63.43 12312915410.5 360.7 553.0 7.12 71.39 14435425861.4 390.8 599.7 7.06 85.14 19484166087.5 405.8 624.4 6.92 96.11 25717346313.9 420.9 649.3 6.79 108.28 33037836766.5 451.1 698.6 6.65 134.36 43377026993.4 466.2 724.5 6.53 150.54 53808687220.6 481.4 750.7 6.41 168.34 6566688




Arbed

7673.1 511.5 799.7 6.34 196.04 81550728133.7 542.2 856.6 6.10 258.06 114514569041.4 602.8 957.7 5.99 336.39 162562509500.8 633.4 1015.7 5.80 405.18 21276699

IV Ys21.33 7.38 13.64 1.41 1.9 180 1.6132.83 9.95 18.47 1.57 2.65 450 1.751.34 13.76 25.55 1.71 4.15 1220 1.7793.26 20.96 38.78 2.02 6.51 2990 2.05126.4 25.90 47.47 2.16 8.43 5620 2.12169.7 32.14 58.29 2.30 11.24 9980 2.22222.3 39.70 72.56 2.48 14.4 15820 2.4295.4 48.83 87.64 2.60 20.38 27430 2.45562.1 79.84 145.8 3.10 36.3 75040 2.96

IV Ys19.4 6.36 12.1 1.33 2.16 157 1.4529.3 8.49 16.2 1.47 2.81 410 1.5543.2 11.08 21.2 1.59 4.15 900 1.662.7 14.75 28.3 1.75 5.68 1800 1.7585.3 18.30 35.2 1.89 7.39 3260 1.84114 22.44 42.9 2.02 9.55 5570 1.92148 26.96 51.8 2.14 11.9 9070 2.01197 33.62 64.1 2.30 16 14600 2.14248 39.55 75.7 2.42 19.7 22100 2.23317 47.74 91.6 2.56 25.5 33300 2.36399 57.25 109 2.74 31 48500 2.53495 67.81 130 2.90 37.4 69100 2.7597 80.68 152 2.81 66.7 96100 2.6570 75.00 143 2.72 61.2 114000 2.4615 78.64 148 2.77 59.1 146000 2.38846 101.32 190 3.04 81.6 221000 2.65

IV Ys25.41 7.98 14.28 1.59 1.47 0.22 1.8238.21 10.63 19.34 1.75 2.01 0.53 1.91

55.4 13.79 25.28 1.9 2.9 1.12 1.9878.7 18.19 33.22 2.07 4.05 2.2 2.17

106.8 22.58 41.49 2.22 5.2 3.96 2.27143.7 28.56 52.3 2.39 6.99 6.81 2.47187.3 34.43 63.28 2.54 8.89 11 2.56246.4 42.51 78.25 2.7 12.05 17.61 2.7310.9 50.08 92.18 2.84 15.14 26.42 2.79

401 60.69 111.6 2.99 19.91 43.55 2.89537.7 75.58 136.6 3.08 31.52 72.66 2.89681.5 89.66 156.2 3.17 45.18 111.3 2.9843.7 105.1 177.8 3.29 58.49 166.4 2.971045 122.6 191.4 3.37 79.14 259 2.98




Arbed

20

00

00

000

Arbed

Ym3.173.383.56

4.14.324.534.945.046.17

Ym2.672.933.033.373.563.753.94

4.24.394.665.025.414.824.454.585.11

Ym3.713.934.124.544.765.195.41

5.75.916.146.03

66.126.06

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