Application 6 - Diagramme d'inteaction CHEBAP - Année 2011 / 2012 Hauteur (m) 0

Application 6 - Diagramme d'inteaction CHEBAP - Année 2011 / 2012 Hauteur (m) 0.8 Supérieurs Section 10.3 cm² Position 0.06 m Béton fck 35.0 MPa fcd 23.3 MPa Largeur (m) 0.4 Inférieurs Section 53.1 cm² Position 0.09 m fyk 500.0 MPa fyd 434.8 MPa eps uk 0.050 k 1.08 Nu sup béton -45 -30.80 -23.15 -15.51 -6.77 0.00 0.6 1.2 1.8 2.4 3 Aciers sup -45 -32 -25 -18 -10 -3.80 -3.25 -2.70 -2.15 -1.61 -1.06 Aciers inf -45 -45 -45 -45 -45 -45 -45 -45 -45 -45 -45 Nu inf béton -45.00 -46.80 -47.77 -48.74 -49.85 -50.70 -50.78 -50.86 -50.93 -51.01 -51.08 0.0093 0.0184 0.0273 0.0359 0.0444 0 0 0 0 0 0 0.070 0.138 0.204 0.268 0.331 -465.9 -456.5 -451.4 -446.3 -440.5 -436.0 -435.6 -435.2 -431.0 -321.1 -211.3 -0.480 -0.470 -0.465 -0.460 -0.454 -0.449 -0.449 -0.448 -0.444 -0.331 -0.218 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.955 -2.945 -2.940 -2.935 -2.929 -2.924 -2.854 -2.786 -2.715 -2.537 -2.361 0.6041 0.6074 0.6092 0.6110 0.6130 0.6146 0.6424 0.6689 0.6957 0.7583 0.8199 0.2700 0.4800 0.6300 0.7222 0.7778 0.3426 0.3542 0.3690 0.3878 0.4048 0 0 0 0 0 0 0.024 0.083 0.161 0.242 0.322 -465.9 -456.5 -451.4 -446.3 -440.5 -436.0 -435.6 -435.2 -431.0 -321.1 -211.3 -0.480 -0.470 -0.465 -0.460 -0.454 -0.449 -0.449 -0.448 -0.444 -0.331 -0.218 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -465.9 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.475 -2.955 -2.945 -2.940 -2.935 -2.929 -2.924 -2.900 -2.841 -2.758 -2.563 -2.370 0.6041 0.6074 0.6092 0.6110 0.6130 0.6146 0.6241 0.6474 0.6789 0.7483 0.8163 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 1.59% 1.94% 1.57% 1.02% 0.39% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% -2.93% -3.33% -2.46% -1.33% -0.44% Nota : efforts calculés de façon algébrique : > 0 si compression et < 0 si traction Pivot A-B Nu sup béton 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 Aciers sup -0.60 -0.18 0.67 1.51 2.36 2.78 2.95 3.12 3.20 Aciers inf -45 -40 -30 -20 -10 -5 -3 -1 0 Nu inf béton -51.15 -45.51 -34.25 -22.98 -11.71 -6.08 -3.82 -1.57 -0.44 0.0512 0.0571 0.0742 0.1057 0.1841 0.2924 0.3823 0.5522 0.7100 0.383 0.427 0.554 0.790 1.374 2.183 2.855 4.123 5.301 -119.7 -35.2 133.8 302.8 434.9 435.2 435.3 435.5 435.5 -0.123 -0.036 0.138 0.312 0.448 0.448 0.448 0.449 0.449 -465.9 -462.3 -455.0 -447.7 -440.5 -436.8 -435.4 -200.0 0.0 -2.475 -2.456 -2.417 -2.378 -2.340 -2.320 -2.313 -1.062 0.000 -2.216 -2.065 -1.725 -1.277 -0.517 0.311 0.990 3.509 5.750 0.871 0.910 1.001 1.126 1.326 1.490 1.5747 1.2204 0.7675 0.8095 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.4160 0.416 0.416 0.416 0.416 0.416 0.416 0.416 0.416 0.387 0.432 0.560 0.799 1.391 2.209 2.889 4.172 5.364 -119.7 -35.2 133.8 302.8 434.9 435.2 435.3 435.5 435.5 -0.123 -0.036 0.138 0.312 0.448 0.448 0.448 0.449 0.449 -465.9 -462.3 -455.0 -447.7 -440.5 -436.8 -435.4 -200.0 0.0 -2.475 -2.456 -2.417 -2.378 -2.340 -2.320 -2.313 -1.062 0.000 -2.211 -2.060 -1.719 -1.268 -0.501 0.337 1.024 3.558 5.813 0.872 0.911 1.003 1.128 1.327 1.487 1.565 1.192 0.714 -0.21% -0.25% -0.38% -0.74% -3.16% 8.36% 3.43% 1.40% 1.10% 0.00% 0.17% 0.18% 0.18% 0.09% -0.20% -0.59% -2.35% -7.49% Nota : efforts calculés de façon algébrique : > 0 si compression et < 0 si traction Pivot B-C Nu sup béton 3.5 3.25 3.00 2.75 2.50 2.25 2.00 Aciers sup 3.24 3.03 2.83 2.62 2.41 2.21 2.00 4/7 hauteur 2 2 2 2 2 2 2 Aciers inf 0.39375 0.66 0.93 1.20 1.46 1.73 2.00 Nu inf béton 0 0.33 0.67 1.00 1.33 1.67 2.00 0.8000 0.8914 1.0286 1.2571 1.7143 3.0857 ∞ 1 1.114 1.286 1.571 2.143 3.857 ∞ 0.810 0.868 0.915 0.952 0.979 0.995 1 0.416 0.446 0.467 0.482 0.492 0.498 0.5 6.044 6.479 6.835 7.111 7.309 7.427 7.467 435.6 435.4 435.3 435.1 435.0 434.8 400.0 0.449 0.448 0.448 0.448 0.448 0.448 0.412 78.8 132.3 185.8 239.4 292.9 346.5 400.0 0.418 0.703 0.987 1.272 1.556 1.840 2.125 6.911 7.630 8.270 8.831 9.313 9.715 10.003 0.4290 0.2168 0.0270 -0.1402 -0.2849 -0.4070 -0.5186 Nota : efforts calculés de façon algébrique : > 0 si compression et < 0 si traction CORRIGE DE L'EXERCICE Calcul avec diagramme parabole rectangle Calcul avec diagramme simplifié Calcul avec diagramme parabole rectangle Calcul avec diagramme parabole rectangle Calcul avec diagramme simplifié Aciers Matériaux Effort normal total (MN) Déformations (‰) Acier Géométrie de la section Moment (MNm) Effort normal total (MN) Moment (MNm) Effort aciers inf (MNm) Effort aciers sup (MNm) Coefficient de remplissage Coefficient de centre de gravité Déformations (‰) Section en Pivot A Position axe neutre (m) Effort béton (MN) Contrainte aciers inf (MPa) Effort aciers inf (MNm) Contrainte aciers sup (MPa) Effort aciers sup (MNm) Contrainte aciers inf (MPa) Contrainte aciers sup (MPa) Section en Pivot C - calculé avec diagramme parabole rectangle Moment (MNm) Effort normal total (MN) Effort aciers sup (MNm) Contrainte aciers sup (MPa) Effort aciers inf (MNm) Contrainte aciers inf (MPa) Effort béton (MN) Coefficient de centre de gravité Coefficient de remplissage Alpha-t Position axe neutre fictif Effort béton (MN) Contrainte aciers inf (MPa) Effort aciers inf (MNm) Contrainte aciers sup (MPa) Effort aciers sup (MNm) Effort normal total (MN) Moment (MNm) Différences relatives Moment (MNm) Coefficient de remplissage Différences relatives Position axe neutre (m) Effort béton (MN) Coefficient de centre de gravité Effort béton (MN) Contrainte aciers inf (MPa) Effort aciers inf (MNm) Déformations (‰) Contrainte aciers sup (MPa) Effort aciers sup (MNm) Section en Pivot B Effort normal total (MN) uploads/Ingenierie_Lourd/ exercice 1 .pdf

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