Columna 1c

CRCH INGENIEROSCÁLCULO Y DISEÑO ESTRUTURAL

DISEÑO DE COLUMNA 1-CStory Column Load Case/Combo Station P V2 V3 T M2 M3

m tonf tonf tonf tonf-m tonf-m tonf-mStory5 C14 1.4D+1.7L 0 -26.98 -7.1 4.11 -0.04 2.04 -6.38Story5 C14 1.4D+1.7L 1.075 -26.43 -7.1 4.11 -0.04 -2.39 1.26Story5 C14 1.4D+1.7L 1.25 -26.35 -7.1 4.11 -0.04 -3.11 2.5Story5 C14 1.4D+1.7L 1.25 -14.46 -10.67 3.76 0 2.5 -1.49Story5 C14 1.4D+1.7L 2.15 -14.01 -10.67 3.76 0 -0.88 8.11Story5 C14 1.25(D+L)+SX Max 0 -23.17 0.45 5.91 0.03 3.63 -0.26Story5 C14 1.25(D+L)+SX Max 1.075 -22.68 0.45 5.91 0.03 -1.39 2.91Story5 C14 1.25(D+L)+SX Max 1.25 -22.61 0.45 5.91 0.03 -1.59 5.11Story5 C14 1.25(D+L)+SX Max 1.25 -12.3 -6.87 4.2 0 3.15 1.59Story5 C14 1.25(D+L)+SX Max 2.15 -11.89 -6.87 4.2 0 -0.63 7.77Story5 C14 1.25(D+L)+SX Min 0 -23.58 -12.6 1.18 -0.11 -0.12 -10.64Story5 C14 1.25(D+L)+SX Min 1.075 -23.1 -12.6 1.18 -0.11 -2.72 -0.75Story5 C14 1.25(D+L)+SX Min 1.25 -23.02 -12.6 1.18 -0.11 -3.76 -0.83Story5 C14 1.25(D+L)+SX Min 1.25 -12.84 -11.51 2.28 0 1.16 -4.18Story5 C14 1.25(D+L)+SX Min 2.15 -12.44 -11.51 2.28 0 -0.89 6.18Story5 C14 1.25(D+L)+SY Max 0 -23.2 -2.28 6.2 0.04 3.84 -2.44Story5 C14 1.25(D+L)+SY Max 1.075 -22.72 -2.28 6.2 0.04 -1.29 2.15Story5 C14 1.25(D+L)+SY Max 1.25 -22.64 -2.28 6.2 0.04 -1.45 3.88Story5 C14 1.25(D+L)+SY Max 1.25 -12.38 -7.79 4.35 0 3.28 0.4Story5 C14 1.25(D+L)+SY Max 2.15 -11.98 -7.79 4.35 0 -0.64 7.42Story5 C14 1.25(D+L)+SY Min 0 -23.55 -9.87 0.89 -0.11 -0.33 -8.46Story5 C14 1.25(D+L)+SY Min 1.075 -23.06 -9.87 0.89 -0.11 -2.82 0.003367Story5 C14 1.25(D+L)+SY Min 1.25 -22.99 -9.87 0.89 -0.11 -3.91 0.4Story5 C14 1.25(D+L)+SY Min 1.25 -12.76 -10.58 2.13 0 1.04 -2.99Story5 C14 1.25(D+L)+SY Min 2.15 -12.36 -10.58 2.13 0 -0.89 6.53Story5 C14 0.9D+SX Max 0 -14.24 3.04 4.49 0.05 2.93 2.07Story5 C14 0.9D+SX Max 1.075 -13.89 3.04 4.49 0.05 -0.56 2.45Story5 C14 0.9D+SX Max 1.25 -13.83 3.04 4.49 0.05 -0.52 4.2Story5 C14 0.9D+SX Max 1.25 -7.62 -3.17 2.92 0 2.3 2.06Story5 C14 0.9D+SX Max 2.15 -7.33 -3.17 2.92 0 -0.33 4.92Story5 C14 0.9D+SX Min 0 -14.66 -10.01 -0.24 -0.09 -0.83 -8.31Story5 C14 0.9D+SX Min 1.075 -14.31 -10.01 -0.24 -0.09 -1.9 -1.2Story5 C14 0.9D+SX Min 1.25 -14.25 -10.01 -0.24 -0.09 -2.69 -1.74Story5 C14 0.9D+SX Min 1.25 -8.16 -7.8 1 0 0.3 -3.7Story5 C14 0.9D+SX Min 2.15 -7.87 -7.8 1 0 -0.6 3.32Story5 C14 0.9D+SY Max 0 -14.27 0.31 4.78 0.05 3.14 -0.11Story5 C14 0.9D+SY Max 1.075 -13.93 0.31 4.78 0.05 -0.47 1.7Story5 C14 0.9D+SY Max 1.25 -13.87 0.31 4.78 0.05 -0.37 2.97Story5 C14 0.9D+SY Max 1.25 -7.7 -4.09 3.07 0 2.42 0.88Story5 C14 0.9D+SY Max 2.15 -7.41 -4.09 3.07 0 -0.34 4.57Story5 C14 0.9D+SY Min 0 -14.62 -7.28 -0.53 -0.1 -1.04 -6.13Story5 C14 0.9D+SY Min 1.075 -14.27 -7.28 -0.53 -0.1 -2 -0.45Story5 C14 0.9D+SY Min 1.25 -14.21 -7.28 -0.53 -0.1 -2.83 -0.5Story5 C14 0.9D+SY Min 1.25 -8.08 -6.88 0.85 0 0.18 -2.51Story5 C14 0.9D+SY Min 2.15 -7.79 -6.88 0.85 0 -0.59 3.67Story4 C14 1.4D+1.7L 0 -60.8 -6.62 2.65 -0.03 1.48 -5.63Story4 C14 1.4D+1.7L 1.075 -60.25 -6.62 2.65 -0.03 -1.37 1.49Story4 C14 1.4D+1.7L 1.25 -60.17 -6.62 2.65 -0.03 -1.84 2.65Story4 C14 1.4D+1.7L 1.25 -49 -8.83 1.97 0 1.16 -1.97Story4 C14 1.4D+1.7L 2.15 -48.54 -8.83 1.97 0 -0.61 5.98Story4 C14 1.25(D+L)+SX Max 0 -52.11 9.54 7.35 0.11 5.16 6.76Story4 C14 1.25(D+L)+SX Max 1.075 -51.62 9.54 7.35 0.11 0.39 6.01Story4 C14 1.25(D+L)+SX Max 1.25 -51.54 9.54 7.35 0.11 0.89 9.66Story4 C14 1.25(D+L)+SX Max 1.25 -41.99 1.43 4.68 0 3.24 5.57Story4 C14 1.25(D+L)+SX Max 2.15 -41.58 1.43 4.68 0 -0.07 5.98Story4 C14 1.25(D+L)+SX Min 0 -52.94 -20.82 -2.81 -0.17 -2.63 -16.36Story4 C14 1.25(D+L)+SX Min 1.075 -52.46 -20.82 -2.81 -0.17 -2.74 -3.49


Story4 C14 1.25(D+L)+SX Min 1.25 -52.38 -20.82 -2.81 -0.17 -4.02 -5.16Story4 C14 1.25(D+L)+SX Min 1.25 -42.91 -16.54 -1.34 0 -1.28 -8.93Story4 C14 1.25(D+L)+SX Min 2.15 -42.51 -16.54 -1.34 0 -0.97 4.26Story4 C14 1.25(D+L)+SY Max 0 -52.13 2.93 7.73 0.12 5.43 1.71Story4 C14 1.25(D+L)+SY Max 1.075 -51.65 2.93 7.73 0.12 0.53 3.97Story4 C14 1.25(D+L)+SY Max 1.25 -51.57 2.93 7.73 0.12 1.09 6.45Story4 C14 1.25(D+L)+SY Max 1.25 -42.08 -2.39 4.99 0 3.43 2.43Story4 C14 1.25(D+L)+SY Max 2.15 -41.68 -2.39 4.99 0 0.02 5.68Story4 C14 1.25(D+L)+SY Min 0 -52.92 -14.21 -3.19 -0.17 -2.9 -11.31Story4 C14 1.25(D+L)+SY Min 1.075 -52.43 -14.21 -3.19 -0.17 -2.87 -1.44Story4 C14 1.25(D+L)+SY Min 1.25 -52.35 -14.21 -3.19 -0.17 -4.23 -1.96Story4 C14 1.25(D+L)+SY Min 1.25 -42.82 -12.72 -1.64 0 -1.46 -5.8Story4 C14 1.25(D+L)+SY Min 2.15 -42.41 -12.72 -1.64 0 -1.06 4.55Story4 C14 0.9D+SX Max 0 -31.5 12.02 6.39 0.12 4.64 8.85Story4 C14 0.9D+SX Max 1.075 -31.15 12.02 6.39 0.12 0.9 5.44Story4 C14 0.9D+SX Max 1.25 -31.09 12.02 6.39 0.12 1.56 8.65Story4 C14 0.9D+SX Max 1.25 -25.74 4.66 3.92 0 2.79 6.29Story4 C14 0.9D+SX Max 2.15 -25.45 4.66 3.92 0 0.16 3.8Story4 C14 0.9D+SX Min 0 -32.33 -18.33 -3.78 -0.15 -3.16 -14.27Story4 C14 0.9D+SX Min 1.075 -31.98 -18.33 -3.78 -0.15 -2.23 -4.07Story4 C14 0.9D+SX Min 1.25 -31.93 -18.33 -3.78 -0.15 -3.34 -6.17Story4 C14 0.9D+SX Min 1.25 -26.67 -13.31 -2.1 0 -1.73 -8.21Story4 C14 0.9D+SX Min 2.15 -26.38 -13.31 -2.1 0 -0.74 2.07Story4 C14 0.9D+SY Max 0 -31.52 5.41 6.76 0.13 4.91 3.8Story4 C14 0.9D+SY Max 1.075 -31.17 5.41 6.76 0.13 1.04 3.39Story4 C14 0.9D+SY Max 1.25 -31.12 5.41 6.76 0.13 1.77 5.44Story4 C14 0.9D+SY Max 1.25 -25.83 0.84 4.23 0 2.97 3.16Story4 C14 0.9D+SY Max 2.15 -25.54 0.84 4.23 0 0.25 3.5Story4 C14 0.9D+SY Min 0 -32.3 -11.72 -4.15 -0.16 -3.42 -9.22Story4 C14 0.9D+SY Min 1.075 -31.96 -11.72 -4.15 -0.16 -2.36 -2.02Story4 C14 0.9D+SY Min 1.25 -31.9 -11.72 -4.15 -0.16 -3.55 -2.97Story4 C14 0.9D+SY Min 1.25 -26.57 -9.49 -2.4 0 -1.91 -5.07Story4 C14 0.9D+SY Min 2.15 -26.28 -9.49 -2.4 0 -0.83 2.37Story3 C14 1.4D+1.7L 0 -90.09 -5.13 2.71 -0.03 1.48 -4.95Story3 C14 1.4D+1.7L 1.075 -89.54 -5.13 2.71 -0.03 -1.43 0.57Story3 C14 1.4D+1.7L 1.25 -89.46 -5.13 2.71 -0.03 -1.9 1.46Story3 C14 1.4D+1.7L 1.25 -82.61 -7.9 2.56 0 1.45 -1.03Story3 C14 1.4D+1.7L 2.15 -82.15 -7.9 2.56 0 -0.85 6.08Story3 C14 1.25(D+L)+SX Max 0 -77.28 22.56 10.38 0.21 7.38 15.98Story3 C14 1.25(D+L)+SX Max 1.075 -76.8 22.56 10.38 0.21 1.35 9.23Story3 C14 1.25(D+L)+SX Max 1.25 -76.72 22.56 10.38 0.21 2.35 14.7Story3 C14 1.25(D+L)+SX Max 1.25 -70.91 11.02 6.91 0 4.89 12.35Story3 C14 1.25(D+L)+SX Max 2.15 -70.51 11.02 6.91 0 -0.12 8Story3 C14 1.25(D+L)+SX Min 0 -78.35 -31.29 -5.75 -0.25 -4.84 -24.41Story3 C14 1.25(D+L)+SX Min 1.075 -77.87 -31.29 -5.75 -0.25 -3.79 -8.28Story3 C14 1.25(D+L)+SX Min 1.25 -77.79 -31.29 -5.75 -0.25 -5.6 -12.23Story3 C14 1.25(D+L)+SX Min 1.25 -71.93 -24.56 -2.54 0 -2.42 -14.12Story3 C14 1.25(D+L)+SX Min 2.15 -71.52 -24.56 -2.54 0 -1.33 2.4Story3 C14 1.25(D+L)+SY Max 0 -77.28 10.5 10.6 0.2 7.54 6.91Story3 C14 1.25(D+L)+SY Max 1.075 -76.79 10.5 10.6 0.2 1.42 5.34Story3 C14 1.25(D+L)+SY Max 1.25 -76.71 10.5 10.6 0.2 2.46 8.7Story3 C14 1.25(D+L)+SY Max 1.25 -70.97 3.18 7.09 0 4.99 6.45Story3 C14 1.25(D+L)+SY Max 2.15 -70.56 3.18 7.09 0 -0.06 6.86Story3 C14 1.25(D+L)+SY Min 0 -78.36 -19.23 -5.97 -0.25 -5 -15.34Story3 C14 1.25(D+L)+SY Min 1.075 -77.87 -19.23 -5.97 -0.25 -3.86 -4.39Story3 C14 1.25(D+L)+SY Min 1.25 -77.79 -19.23 -5.97 -0.25 -5.71 -6.22Story3 C14 1.25(D+L)+SY Min 1.25 -71.87 -16.71 -2.73 0 -2.52 -8.22Story3 C14 1.25(D+L)+SY Min 2.15 -71.46 -16.71 -2.73 0 -1.4 3.55Story3 C14 0.9D+SX Max 0 -46.7 24.51 9.39 0.22 6.84 17.83Story3 C14 0.9D+SX Max 1.075 -46.35 24.51 9.39 0.22 1.88 8.99Story3 C14 0.9D+SX Max 1.25 -46.29 24.51 9.39 0.22 3.06 14.13


Story3 C14 0.9D+SX Max 1.25 -43.06 13.88 5.95 0 4.33 12.71Story3 C14 0.9D+SX Max 2.15 -42.77 13.88 5.95 0 0.18 5.79Story3 C14 0.9D+SX Min 0 -47.76 -29.35 -6.74 -0.24 -5.37 -22.56Story3 C14 0.9D+SX Min 1.075 -47.42 -29.35 -6.74 -0.24 -3.25 -8.52Story3 C14 0.9D+SX Min 1.25 -47.36 -29.35 -6.74 -0.24 -4.89 -12.8Story3 C14 0.9D+SX Min 1.25 -44.08 -21.71 -3.5 0 -2.97 -13.76Story3 C14 0.9D+SX Min 2.15 -43.79 -21.71 -3.5 0 -1.03 0.19Story3 C14 0.9D+SY Max 0 -46.69 12.45 9.61 0.21 7.01 8.76Story3 C14 0.9D+SY Max 1.075 -46.34 12.45 9.61 0.21 1.96 5.1Story3 C14 0.9D+SY Max 1.25 -46.28 12.45 9.61 0.21 3.18 8.12Story3 C14 0.9D+SY Max 1.25 -43.12 6.03 6.14 0 4.43 6.81Story3 C14 0.9D+SY Max 2.15 -42.83 6.03 6.14 0 0.25 4.65Story3 C14 0.9D+SY Min 0 -47.77 -17.28 -6.97 -0.24 -5.53 -13.49Story3 C14 0.9D+SY Min 1.075 -47.42 -17.28 -6.97 -0.24 -3.32 -4.62Story3 C14 0.9D+SY Min 1.25 -47.36 -17.28 -6.97 -0.24 -5 -6.8Story3 C14 0.9D+SY Min 1.25 -44.02 -13.86 -3.69 0 -3.07 -7.86Story3 C14 0.9D+SY Min 2.15 -43.73 -13.86 -3.69 0 -1.1 1.34Story2 C14 1.4D+1.7L 0 -118.82 -6.72 3.06 -0.02 1.88 -6.47Story2 C14 1.4D+1.7L 1.075 -118.28 -6.72 3.06 -0.02 -1.4 0.76Story2 C14 1.4D+1.7L 1.25 -118.19 -6.72 3.06 -0.02 -1.94 1.93Story2 C14 1.4D+1.7L 1.25 -111.39 -6.79 2.58 0 1.44 -0.48Story2 C14 1.4D+1.7L 2.15 -110.94 -6.79 2.58 0 -0.88 5.63Story2 C14 1.25(D+L)+SX Max 0 -101.95 21.68 11.71 0.28 7.87 8.21Story2 C14 1.25(D+L)+SX Max 1.075 -101.46 21.68 11.71 0.28 2.32 16.38Story2 C14 1.25(D+L)+SX Max 1.25 -101.39 21.68 11.71 0.28 3.45 22.18Story2 C14 1.25(D+L)+SX Max 1.25 -95.6 22.88 8.81 0 5.93 19.77Story2 C14 1.25(D+L)+SX Max 2.15 -95.2 22.88 8.81 0 0.49 10.52Story2 C14 1.25(D+L)+SX Min 0 -103.32 -33.15 -6.48 -0.32 -4.64 -19.26Story2 C14 1.25(D+L)+SX Min 1.075 -102.83 -33.15 -6.48 -0.32 -4.71 -15.11Story2 C14 1.25(D+L)+SX Min 1.25 -102.75 -33.15 -6.48 -0.32 -6.76 -18.9Story2 C14 1.25(D+L)+SX Min 1.25 -96.95 -34.53 -4.41 0 -3.48 -20.6Story2 C14 1.25(D+L)+SX Min 2.15 -96.55 -34.53 -4.41 0 -2 -0.87Story2 C14 1.25(D+L)+SY Max 0 -101.96 9.42 12.49 0.33 8.4 1.94Story2 C14 1.25(D+L)+SY Max 1.075 -101.48 9.42 12.49 0.33 2.63 9.51Story2 C14 1.25(D+L)+SY Max 1.25 -101.4 9.42 12.49 0.33 3.9 13.16Story2 C14 1.25(D+L)+SY Max 1.25 -95.74 10.05 9.36 0 6.33 10.9Story2 C14 1.25(D+L)+SY Max 2.15 -95.34 10.05 9.36 0 0.59 8.13Story2 C14 1.25(D+L)+SY Min 0 -103.3 -20.89 -7.26 -0.37 -5.17 -13Story2 C14 1.25(D+L)+SY Min 1.075 -102.82 -20.89 -7.26 -0.37 -5.02 -8.23Story2 C14 1.25(D+L)+SY Min 1.25 -102.74 -20.89 -7.26 -0.37 -7.21 -9.88Story2 C14 1.25(D+L)+SY Min 1.25 -96.82 -21.69 -4.96 0 -3.88 -11.73Story2 C14 1.25(D+L)+SY Min 2.15 -96.41 -21.69 -4.96 0 -2.1 1.52Story2 C14 0.9D+SX Max 0 -61.59 24.19 10.59 0.29 7.2 10.6Story2 C14 0.9D+SX Max 1.075 -61.24 24.19 10.59 0.29 2.85 16.07Story2 C14 0.9D+SX Max 1.25 -61.19 24.19 10.59 0.29 4.18 21.43Story2 C14 0.9D+SX Max 1.25 -57.97 25.33 7.85 0 5.38 19.93Story2 C14 0.9D+SX Max 2.15 -57.68 25.33 7.85 0 0.8 8.48Story2 C14 0.9D+SX Min 0 -62.96 -30.63 -7.6 -0.31 -5.32 -16.87Story2 C14 0.9D+SX Min 1.075 -62.61 -30.63 -7.6 -0.31 -4.18 -15.41Story2 C14 0.9D+SX Min 1.25 -62.56 -30.63 -7.6 -0.31 -6.04 -19.65Story2 C14 0.9D+SX Min 1.25 -59.32 -32.08 -5.36 0 -4.03 -20.45Story2 C14 0.9D+SX Min 2.15 -59.03 -32.08 -5.36 0 -1.69 -2.92Story2 C14 0.9D+SY Max 0 -61.61 11.94 11.36 0.33 7.72 4.34Story2 C14 0.9D+SY Max 1.075 -61.26 11.94 11.36 0.33 3.16 9.2Story2 C14 0.9D+SY Max 1.25 -61.2 11.94 11.36 0.33 4.63 12.41Story2 C14 0.9D+SY Max 1.25 -58.11 12.5 8.41 0 5.78 11.06Story2 C14 0.9D+SY Max 2.15 -57.81 12.5 8.41 0 0.9 6.09Story2 C14 0.9D+SY Min 0 -62.95 -18.38 -8.38 -0.36 -5.85 -10.6Story2 C14 0.9D+SY Min 1.075 -62.6 -18.38 -8.38 -0.36 -4.49 -8.54Story2 C14 0.9D+SY Min 1.25 -62.54 -18.38 -8.38 -0.36 -6.48 -10.63Story2 C14 0.9D+SY Min 1.25 -59.18 -19.25 -5.92 0 -4.43 -11.57


Story2 C14 0.9D+SY Min 2.15 -58.89 -19.25 -5.92 0 -1.79 -0.53Story1 C14 1.4D+1.7L 0 -140.24 -1.91 0.29 -0.004116 0.34 -2.19Story1 C14 1.4D+1.7L 1.49 -139.49 -1.91 0.29 -0.004116 -0.09 0.65Story1 C14 1.4D+1.7L 2.98 -138.74 -1.91 0.29 -0.004116 -0.53 3.49Story1 C14 1.25(D+L)+SX Max 0 -117.77 -0.49 1.02 0.1 1.66 3.47Story1 C14 1.25(D+L)+SX Max 1.49 -117.1 -0.49 1.02 0.1 0.15 4.43Story1 C14 1.25(D+L)+SX Max 2.98 -116.43 -0.49 1.02 0.1 0.47 6.06Story1 C14 1.25(D+L)+SX Min 0 -124.7 -2.78 -0.52 -0.1 -1.07 -7.22Story1 C14 1.25(D+L)+SX Min 1.49 -124.03 -2.78 -0.52 -0.1 -0.31 -3.32Story1 C14 1.25(D+L)+SX Min 2.98 -123.36 -2.78 -0.52 -0.1 -1.38 -0.08Story1 C14 1.25(D+L)+SY Max 0 -118.36 -0.25 1.36 0.13 2.19 2.08Story1 C14 1.25(D+L)+SY Max 1.49 -117.69 -0.25 1.36 0.13 0.18 2.83Story1 C14 1.25(D+L)+SY Max 2.98 -117.02 -0.25 1.36 0.13 0.94 4.87Story1 C14 1.25(D+L)+SY Min 0 -124.1 -3.02 -0.85 -0.14 -1.6 -5.84Story1 C14 1.25(D+L)+SY Min 1.49 -123.43 -3.02 -0.85 -0.14 -0.33 -1.71Story1 C14 1.25(D+L)+SY Min 2.98 -122.76 -3.02 -0.85 -0.14 -1.85 1.11Story1 C14 0.9D+SX Max 0 -70.45 0.21 0.92 0.1 1.55 4.27Story1 C14 0.9D+SX Max 1.49 -69.97 0.21 0.92 0.1 0.18 4.2Story1 C14 0.9D+SX Max 2.98 -69.49 0.21 0.92 0.1 0.65 4.79Story1 C14 0.9D+SX Min 0 -77.38 -2.08 -0.62 -0.1 -1.19 -6.42Story1 C14 0.9D+SX Min 1.49 -76.9 -2.08 -0.62 -0.1 -0.28 -3.55Story1 C14 0.9D+SX Min 2.98 -76.42 -2.08 -0.62 -0.1 -1.2 -1.34Story1 C14 0.9D+SY Max 0 -71.05 0.44 1.25 0.14 2.07 2.88Story1 C14 0.9D+SY Max 1.49 -70.56 0.44 1.25 0.14 0.21 2.59Story1 C14 0.9D+SY Max 2.98 -70.08 0.44 1.25 0.14 1.12 3.61Story1 C14 0.9D+SY Min 0 -76.79 -2.32 -0.95 -0.14 -1.71 -5.03Story1 C14 0.9D+SY Min 1.49 -76.31 -2.32 -0.95 -0.14 -0.3 -1.95Story1 C14 0.9D+SY Min 2.98 -75.82 -2.32 -0.95 -0.14 -1.67 -0.16

DISEÑO DE COLUMNAS 1 Y 2DO NIVEL

M2 M3MAX 8.4 22.18 Tn-mMIN -7.21 -20.6 Tn-m

ABS(M2,M3) 8.4 22.18 Tn-m

rec. = 4.0cm fy = 4200 kg/cm2 5/8'' f'c = 210 kg/cm2 3/8''

H = 25.0cm 60.0cmd = 19.25 cm 54.25 cmAs = 12.82 cm2 12.02 cm2

As.min = 15.00 cm2 1.00%As.prov.= 31.86 cm2

2.12% OK: mayor que cuantia minimaOK: MENOR QUE CUANTIA MAXIMA

Ø b =Ø est. =

4Ø1"+2Ø5/8"+6Ø1/2"


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DIAGRAMA DE INTERACCION M33

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DISEÑO DE COLUMNAS 3,4 Y 5TO NIVEL

M2 M3MAX 7.54 17.83 Tn-mMIN -5.71 -24.41 Tn-m

ABS(M2,M3) 7.54 24.41 Tn-m

rec. = 4.0cm fy = 4200 kg/cm2 5/8'' f'c = 210 kg/cm2 3/8''

H = 25.0cm 60.0cmd = 19.25 cm 54.25 cmAs = 11.51 cm2 13.23 cm2

As.min = 15.00 cm2 1.00%As.prov.= 31.86 cm2

2.12% OK: mayor que cuantia minimaOK: MENOR QUE CUANTIA MAXIMA

Ø b =Ø est. =

4Ø1"+2Ø5/8"+6Ø1/2"

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-150

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0

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100

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50

100

150

200

250



ESTRIBOSSegún norma E-060 y E-030- zona de confinamiento HC = 3.00 mLo = Hc/6 = 0.50 m So = 8*db(menor) = 0.102 mLo = t (col) 0.60 m So =s/2 0.250 mLo = 0.50 m So = 0.100 m

espaciamiento adoptado So = 0.100 mlongitud adoptada (mayor) Lo = 0.600 m

- Fuera de la zona de confinamientoS = 16db(menor) 0.203 mS = 48ds(estribo) 0.457 mS = s 0.250 m

espaciamiento adoptado S = 0.200 m

6 @ 0.100 ,rto @ 0.200 m A/s1@ 0.05 +

-50 -40 -30 -20 -10 0 10 20 30 40 50

-150

-100

-50

0

50

100

150

200

250


-15 -10 -5 0 5 10 15

-150

-100

-50

0

50

100

150

200

250


Curve 1 0. degrees Curve 2 15. degrees Curve 3

P M3 M2 P M3 M2 P

1 -206.4175 0 0 -206.4175 0 0 -206.4175

2 -206.4175 8.6353 0 -206.4175 6.5266 0.2954 -206.4175

3 -206.4175 10.8238 0 -206.4175 8.6832 0.5264 -206.4175

4 -202.1064 13.2082 0 -206.4175 11.2718 0.5071 -206.4175

5 -191.3016 15.4464 0 -198.7142 13.7379 0.565 -206.4175

6 -180.0625 17.5385 0 -186.4575 16.1546 0.5819 -193.8628

7 -168.2954 19.4941 0 -173.6784 18.3779 0.5938 -180.2204

8 -156.3089 21.3042 0 -160.5077 20.415 0.5947 -165.8345

9 -143.3959 23.0637 0 -146.6907 22.3071 0.6209 -150.8003

10 -129.7149 24.7627 0 -131.9283 24.1014 0.6376 -134.8827

11 -115.0801 26.4372 0 -116.1705 25.8171 0.657 -117.6302

12 -99.2396 28.1356 0 -99.2944 27.5061 0.6683 -98.836

13 -82.1445 29.9251 0 -80.7682 29.2411 0.7077 -78.2207

14 -76.6136 31.7349 0 -72.1908 31.3585 0.611 -67.0513

15 -70.7315 33.5841 0 -64.5226 32.8497 0.724 -55.8798

16 -63.9337 35.6425 0 -55.7957 34.4134 0.8083 -44.8144

17 -57.4489 37.7909 0 -45.6228 35.8322 0.9707 -30.9063

18 -46.4372 37.9884 0 -30.4868 34.9812 1.154 -12.8239

19 -32.8132 36.2076 0 -12.0772 31.8259 1.1346 8.664

20 -16.406 33.2233 0 7.8419 27.8402 1.2494 30.3952

21 3.8866 29.249 0 29.992 23.0239 1.2171 54.6856

22 24.8446 24.4468 0 56.582 16.5418 1.3848 84.0079

23 53.4923 17.3973 0 94.6669 6.9127 1.6104 105.5293

24 112.1359 2.6855 0 119.543 0.5553 0.1783 120.3747

25 121.4475 0 0 121.4475 0 0 121.4475

0. degrees 180. degrees 90. degrees

P M3 M3 P M2

1 206.4175 0 0 1 206.4175 0

2 206.4175 8.6353 -8.6353 2 206.4175 2.6673

3 206.4175 10.8238 -10.8238 3 206.4175 3.7391

4 202.1064 13.2082 -13.2082 4 202.5684 4.7244

5 191.3016 15.4464 -15.4464 5 191.2703 5.5913

6 180.0625 17.5385 -17.5385 6 180.2891 6.3292

7 168.2954 19.4941 -19.4941 7 167.6218 7.0792

8 156.3089 21.3042 -21.3042 8 154.3378 7.7631

9 143.3959 23.0637 -23.0637 9 140.2876 8.3901

10 129.7149 24.7627 -24.7627 10 124.9518 8.9501

11 115.0801 26.4372 -26.4372 11 107.4267 9.4157

12 99.2396 28.1356 -28.1356 12 87.9932 9.8249

13 82.1445 29.9251 -29.9251 13 65.311 10.2298

14 76.6136 31.7349 -31.7349 14 56.8081 10.6725

15 70.7315 33.5841 -33.5841 15 48.9865 10.9467

16 63.9337 35.6425 -35.6425 16 39.0168 11.1982

17 57.4489 37.7909 -37.7909 17 25.732 11.409

18 46.4372 37.9884 -37.9884 18 8.5788 10.8499

19 32.8132 36.2076 -36.2076 19 -7.3626 9.7063

20 16.406 33.2233 -33.2233 20 -28.0537 8.1469

21 -3.8866 29.249 -29.249 21 -55.9013 5.9851

22 -24.8446 24.4468 -24.4468 22 -93.495 3.0275

23 -53.4923 17.3973 -17.3973 23 -104.9598 1.92

24 -112.1359 2.6855 -2.6855 24 -113.2036 0.9952

25 -121.4475 0 0 25 -121.4475 0

30. degrees Curve 4 45. degrees Curve 5 60. degrees

M3 M2 P M3 M2 P M3 M2

0 0 -206.4175 0 0 -206.4175 0 0

5.8325 0.3738 -206.4175 5.2606 0.4912 -206.4175 4.4746 0.6967

7.2792 0.6718 -206.4175 6.4542 0.7744 -206.4175 5.4467 1.0049

9.1768 0.944 -206.4175 7.9525 1.101 -206.4175 6.633 1.3865

11.6873 1.1363 -206.4175 9.9847 1.4852 -206.4175 8.255 1.8835

14.3525 1.2118 -201.0327 12.2222 1.8312 -204.0634 10.0972 2.4098

16.9007 1.2268 -187.0166 14.7246 2.0505 -191.4617 12.0154 2.9106

19.219 1.2517 -171.3832 17.1646 2.1798 -176.1883 14.075 3.3664

21.3181 1.2802 -154.3222 19.4239 2.2643 -158.525 16.1233 3.7038

23.1508 1.3418 -136.5162 21.3552 2.3506 -138.7587 17.9858 3.9571

24.7685 1.4092 -117.5009 22.9526 2.4776 -116.559 19.6359 4.12

26.2608 1.5032 -96.72 24.2777 2.6147 -93.0769 20.7724 4.3149

27.694 1.6164 -74.1267 25.4234 2.7689 -67.1972 21.4526 4.5522

29.6492 1.6051 -61.0379 26.9965 2.8777 -51.6996 22.2632 4.7997

31.1626 1.6816 -46.0442 28.3416 2.975 -35.1068 23.1063 4.8937

32.0903 1.8838 -31.0486 28.8238 3.2103 -15.3218 23.5169 4.8608

32.8434 2.1413 -12.6846 28.3956 3.5621 5.1058 23.1933 4.8791

30.9969 2.3141 7.2338 26.0093 3.6147 26.5928 20.772 4.6972

27.0352 2.3415 29.2459 21.7672 3.4801 47.3477 16.795 4.3088

22.3485 2.4278 50.5933 17.1548 3.2325 68.1806 12.5891 3.7615

16.7033 2.3556 75.6097 11.3486 3.0531 83.9866 9.1053 2.8219

9.5237 2.3842 92.5318 7.3086 2.1468 98.9618 5.6501 1.8069

4.0833 1.2394 111.1747 2.6405 0.8428 117.5224 1.0426 0.3829

0.3119 0.1169 120.662 0.2275 0.09 120.801 0.1859 0.0762

0 0 121.4475 0 0 121.4475 0 0

270. degrees

M2

0

-2.6673

-3.7391

-4.7244

-5.5913

-6.3292

-7.0792

-7.7631

-8.3901

-8.9501

-9.4157

-9.8249

-10.2298

-10.6725

-10.9467

-11.1982

-11.409

-10.8499

-9.7063

-8.1469

-5.9851

-3.0275

-1.92

-0.9952

0

Curve 6 75. degrees Curve 7 90. degrees Curve 8 105. degrees

P M3 M2 P M3 M2 P M3

-206.4175 0 0 -206.4175 0 0 -206.4175 0

-206.4175 2.953 1.1296 -206.4175 0 2.6673 -206.4175 -2.953

-206.4175 3.8379 1.5011 -206.4175 0 3.7391 -206.4175 -3.8379

-206.4175 4.9808 2.0279 -202.5684 0 4.7244 -206.4175 -4.9808

-206.4175 6.1424 2.6309 -191.2703 0 5.5913 -206.4175 -6.1424

-203.1305 7.4775 3.3536 -180.2891 0 6.3292 -203.1305 -7.4775

-189.3007 8.7597 4.1488 -167.6218 0 7.0792 -189.3007 -8.7597

-173.5026 9.7966 4.963 -154.3378 0 7.7631 -173.5026 -9.7966

-154.8095 10.5921 5.7902 -140.2876 0 8.3901 -154.8095 -10.5921

-134.0757 11.1922 6.493 -124.9518 0 8.9501 -134.0757 -11.1922

-111.855 11.8772 6.9746 -107.4267 0 9.4157 -111.855 -11.8772

-89.0862 12.7026 7.2332 -87.9932 0 9.8249 -89.0862 -12.7026

-62.521 13.6447 7.2648 -65.311 0 10.2298 -62.521 -13.6447

-46.7384 14.4178 7.3446 -56.8081 0 10.6725 -46.7384 -14.4178

-28.4942 15.0733 7.3065 -48.9865 0 10.9467 -28.4942 -15.0733

-8.461 15.4294 7.1878 -39.0168 0 11.1982 -8.461 -15.4294

14.953 15.3781 6.9743 -25.732 0 11.409 14.953 -15.3781

40.908 14.7958 6.0678 -8.5788 0 10.8499 40.908 -14.7958

57.6728 12.7806 4.9407 7.3626 0 9.7063 57.6728 -12.7806

75.121 10.0225 3.781 28.0537 0 8.1469 75.121 -10.0225

89.4984 7.4371 2.6586 55.9013 0 5.9851 89.4984 -7.4371

105.2699 3.9939 1.385 93.495 0 3.0275 105.2699 -3.9939

118.9456 0.6607 0.2886 104.9598 0 1.92 118.9456 -0.6607

120.822 0.1764 0.0752 113.2036 0 0.9952 120.822 -0.1764

121.4475 0 0 121.4475 0 0 121.4475 0


M2 P M3 M2 P M3 M2 P

0 -206.4175 0 0 -206.4175 0 0 -206.4175

1.1296 -206.4175 -4.4746 0.6967 -206.4175 -5.2606 0.4912 -206.4175

1.5011 -206.4175 -5.4467 1.0049 -206.4175 -6.4542 0.7744 -206.4175

2.0279 -206.4175 -6.633 1.3865 -206.4175 -7.9525 1.101 -206.4175

2.6309 -206.4175 -8.255 1.8835 -206.4175 -9.9847 1.4852 -206.4175

3.3536 -204.0634 -10.0972 2.4098 -201.0327 -12.2222 1.8312 -193.8628

4.1488 -191.4617 -12.0154 2.9106 -187.0166 -14.7246 2.0505 -180.2204

4.963 -176.1883 -14.075 3.3664 -171.3832 -17.1646 2.1798 -165.8345

5.7902 -158.525 -16.1233 3.7038 -154.3222 -19.4239 2.2643 -150.8003

6.493 -138.7587 -17.9858 3.9571 -136.5162 -21.3552 2.3506 -134.8827

6.9746 -116.559 -19.6359 4.12 -117.5009 -22.9526 2.4776 -117.6302

7.2332 -93.0769 -20.7724 4.3149 -96.72 -24.2777 2.6147 -98.836

7.2648 -67.1972 -21.4526 4.5522 -74.1267 -25.4234 2.7689 -78.2207

7.3446 -51.6996 -22.2632 4.7997 -61.0379 -26.9965 2.8777 -67.0513

7.3065 -35.1068 -23.1063 4.8937 -46.0442 -28.3416 2.975 -55.8798

7.1878 -15.3218 -23.5169 4.8608 -31.0486 -28.8238 3.2103 -44.8144

6.9743 5.1058 -23.1933 4.8791 -12.6846 -28.3956 3.5621 -30.9063

6.0678 26.5928 -20.772 4.6972 7.2338 -26.0093 3.6147 -12.8239

4.9407 47.3477 -16.795 4.3088 29.2459 -21.7672 3.4801 8.664

3.781 68.1806 -12.5891 3.7615 50.5933 -17.1548 3.2325 30.3952

2.6586 83.9866 -9.1053 2.8219 75.6097 -11.3486 3.0531 54.6856

1.385 98.9618 -5.6501 1.8069 92.5318 -7.3086 2.1468 84.0079

0.2886 117.5224 -1.0426 0.3829 111.1747 -2.6405 0.8428 105.5293

0.0752 120.801 -0.1859 0.0762 120.662 -0.2275 0.09 120.3747

0 121.4475 0 0 121.4475 0 0 121.4475


M3 M2 P M3 M2 P M3 M2

0 0 -206.4175 0 0 -206.4175 0 0

-5.8325 0.3738 -206.4175 -6.5266 0.2954 -206.4175 -8.6353 0

-7.2792 0.6718 -206.4175 -8.6832 0.5264 -206.4175 -10.8238 0

-9.1768 0.944 -206.4175 -11.2718 0.5071 -202.1064 -13.2082 0

-11.6873 1.1363 -198.7142 -13.7379 0.565 -191.3016 -15.4464 0

-14.3525 1.2118 -186.4575 -16.1546 0.5819 -180.0625 -17.5385 0

-16.9007 1.2268 -173.6784 -18.3779 0.5938 -168.2954 -19.4941 0

-19.219 1.2517 -160.5077 -20.415 0.5947 -156.3089 -21.3042 0

-21.3181 1.2802 -146.6907 -22.3071 0.6209 -143.3959 -23.0637 0

-23.1508 1.3418 -131.9283 -24.1014 0.6376 -129.7149 -24.7627 0

-24.7685 1.4092 -116.1705 -25.8171 0.657 -115.0801 -26.4372 0

-26.2608 1.5032 -99.2944 -27.5061 0.6683 -99.2396 -28.1356 0

-27.694 1.6164 -80.7682 -29.2411 0.7077 -82.1445 -29.9251 0

-29.6492 1.6051 -72.1908 -31.3585 0.611 -76.6136 -31.7349 0

-31.1626 1.6816 -64.5226 -32.8497 0.724 -70.7315 -33.5841 0

-32.0903 1.8838 -55.7957 -34.4134 0.8083 -63.9337 -35.6425 0

-32.8434 2.1413 -45.6228 -35.8322 0.9707 -57.4489 -37.7909 0

-30.9969 2.3141 -30.4868 -34.9812 1.154 -46.4372 -37.9884 0

-27.0352 2.3415 -12.0772 -31.8259 1.1346 -32.8132 -36.2076 0

-22.3485 2.4278 7.8419 -27.8402 1.2494 -16.406 -33.2233 0

-16.7033 2.3556 29.992 -23.0239 1.2171 3.8866 -29.249 0

-9.5237 2.3842 56.582 -16.5418 1.3848 24.8446 -24.4468 0

-4.0833 1.2394 94.6669 -6.9127 1.6104 53.4923 -17.3973 0

-0.3119 0.1169 119.543 -0.5553 0.1783 112.1359 -2.6855 0

0 0 121.4475 0 0 121.4475 0 0



-206.4175 0 0 -206.4175 0 0 -206.4175 0

-206.4175 -6.5266 -0.2954 -206.4175 -5.8325 -0.3738 -206.4175 -5.2606

-206.4175 -8.6832 -0.5264 -206.4175 -7.2792 -0.6718 -206.4175 -6.4542

-206.4175 -11.2718 -0.5071 -206.4175 -9.1768 -0.944 -206.4175 -7.9525

-198.7142 -13.7379 -0.565 -206.4175 -11.6873 -1.1363 -206.4175 -9.9847

-186.4575 -16.1546 -0.5819 -193.8628 -14.3525 -1.2118 -201.0327 -12.2222

-173.6784 -18.3779 -0.5938 -180.2204 -16.9007 -1.2268 -187.0166 -14.7246

-160.5077 -20.415 -0.5947 -165.8345 -19.219 -1.2517 -171.3832 -17.1646

-146.6907 -22.3071 -0.6209 -150.8003 -21.3181 -1.2802 -154.3222 -19.4239

-131.9283 -24.1014 -0.6376 -134.8827 -23.1508 -1.3418 -136.5162 -21.3552

-116.1705 -25.8171 -0.657 -117.6302 -24.7685 -1.4092 -117.5009 -22.9526

-99.2944 -27.5061 -0.6683 -98.836 -26.2608 -1.5032 -96.72 -24.2777

-80.7682 -29.2411 -0.7077 -78.2207 -27.694 -1.6164 -74.1267 -25.4234

-72.1908 -31.3585 -0.611 -67.0513 -29.6492 -1.6051 -61.0379 -26.9965

-64.5226 -32.8497 -0.724 -55.8798 -31.1626 -1.6816 -46.0442 -28.3416

-55.7957 -34.4134 -0.8083 -44.8144 -32.0903 -1.8838 -31.0486 -28.8238

-45.6228 -35.8322 -0.9707 -30.9063 -32.8434 -2.1413 -12.6846 -28.3956

-30.4868 -34.9812 -1.154 -12.8239 -30.9969 -2.3141 7.2338 -26.0093

-12.0772 -31.8259 -1.1346 8.664 -27.0352 -2.3415 29.2459 -21.7672

7.8419 -27.8402 -1.2494 30.3952 -22.3485 -2.4278 50.5933 -17.1548

29.992 -23.0239 -1.2171 54.6856 -16.7033 -2.3556 75.6097 -11.3486

56.582 -16.5418 -1.3848 84.0079 -9.5237 -2.3842 92.5318 -7.3086

94.6669 -6.9127 -1.6104 105.5293 -4.0833 -1.2394 111.1747 -2.6405

119.543 -0.5553 -0.1783 120.3747 -0.3119 -0.1169 120.662 -0.2275

121.4475 0 0 121.4475 0 0 121.4475 0


M2 P M3 M2 P M3 M2 P

0 -206.4175 0 0 -206.4175 0 0 -206.4175

-0.4912 -206.4175 -4.4746 -0.6967 -206.4175 -2.953 -1.1296 -206.4175

-0.7744 -206.4175 -5.4467 -1.0049 -206.4175 -3.8379 -1.5011 -206.4175

-1.101 -206.4175 -6.633 -1.3865 -206.4175 -4.9808 -2.0279 -202.5684

-1.4852 -206.4175 -8.255 -1.8835 -206.4175 -6.1424 -2.6309 -191.2703

-1.8312 -204.0634 -10.0972 -2.4098 -203.1305 -7.4775 -3.3536 -180.2891

-2.0505 -191.4617 -12.0154 -2.9106 -189.3007 -8.7597 -4.1488 -167.6218

-2.1798 -176.1883 -14.075 -3.3664 -173.5026 -9.7966 -4.963 -154.3378

-2.2643 -158.525 -16.1233 -3.7038 -154.8095 -10.5921 -5.7902 -140.2876

-2.3506 -138.7587 -17.9858 -3.9571 -134.0757 -11.1922 -6.493 -124.9518

-2.4776 -116.559 -19.6359 -4.12 -111.855 -11.8772 -6.9746 -107.4267

-2.6147 -93.0769 -20.7724 -4.3149 -89.0862 -12.7026 -7.2332 -87.9932

-2.7689 -67.1972 -21.4526 -4.5522 -62.521 -13.6447 -7.2648 -65.311

-2.8777 -51.6996 -22.2632 -4.7997 -46.7384 -14.4178 -7.3446 -56.8081

-2.975 -35.1068 -23.1063 -4.8937 -28.4942 -15.0733 -7.3065 -48.9865

-3.2103 -15.3218 -23.5169 -4.8608 -8.461 -15.4294 -7.1878 -39.0168

-3.5621 5.1058 -23.1933 -4.8791 14.953 -15.3781 -6.9743 -25.732

-3.6147 26.5928 -20.772 -4.6972 40.908 -14.7958 -6.0678 -8.5788

-3.4801 47.3477 -16.795 -4.3088 57.6728 -12.7806 -4.9407 7.3626

-3.2325 68.1806 -12.5891 -3.7615 75.121 -10.0225 -3.781 28.0537

-3.0531 83.9866 -9.1053 -2.8219 89.4984 -7.4371 -2.6586 55.9013

-2.1468 98.9618 -5.6501 -1.8069 105.2699 -3.9939 -1.385 93.495

-0.8428 117.5224 -1.0426 -0.3829 118.9456 -0.6607 -0.2886 104.9598

-0.09 120.801 -0.1859 -0.0762 120.822 -0.1764 -0.0752 113.2036

0 121.4475 0 0 121.4475 0 0 121.4475


M3 M2 P M3 M2 P M3 M2

0 0 -206.4175 0 0 -206.4175 0 0

0 -2.6673 -206.4175 2.953 -1.1296 -206.4175 4.4746 -0.6967

0 -3.7391 -206.4175 3.8379 -1.5011 -206.4175 5.4467 -1.0049

0 -4.7244 -206.4175 4.9808 -2.0279 -206.4175 6.633 -1.3865

0 -5.5913 -206.4175 6.1424 -2.6309 -206.4175 8.255 -1.8835

0 -6.3292 -203.1305 7.4775 -3.3536 -204.0634 10.0972 -2.4098

0 -7.0792 -189.3007 8.7597 -4.1488 -191.4617 12.0154 -2.9106

0 -7.7631 -173.5026 9.7966 -4.963 -176.1883 14.075 -3.3664

0 -8.3901 -154.8095 10.5921 -5.7902 -158.525 16.1233 -3.7038

0 -8.9501 -134.0757 11.1922 -6.493 -138.7587 17.9858 -3.9571

0 -9.4157 -111.855 11.8772 -6.9746 -116.559 19.6359 -4.12

0 -9.8249 -89.0862 12.7026 -7.2332 -93.0769 20.7724 -4.3149

0 -10.2298 -62.521 13.6447 -7.2648 -67.1972 21.4526 -4.5522

0 -10.6725 -46.7384 14.4178 -7.3446 -51.6996 22.2632 -4.7997

0 -10.9467 -28.4942 15.0733 -7.3065 -35.1068 23.1063 -4.8937

0 -11.1982 -8.461 15.4294 -7.1878 -15.3218 23.5169 -4.8608

0 -11.409 14.953 15.3781 -6.9743 5.1058 23.1933 -4.8791

0 -10.8499 40.908 14.7958 -6.0678 26.5928 20.772 -4.6972

0 -9.7063 57.6728 12.7806 -4.9407 47.3477 16.795 -4.3088

0 -8.1469 75.121 10.0225 -3.781 68.1806 12.5891 -3.7615

0 -5.9851 89.4984 7.4371 -2.6586 83.9866 9.1053 -2.8219

0 -3.0275 105.2699 3.9939 -1.385 98.9618 5.6501 -1.8069

0 -1.92 118.9456 0.6607 -0.2886 117.5224 1.0426 -0.3829

0 -0.9952 120.822 0.1764 -0.0752 120.801 0.1859 -0.0762

0 0 121.4475 0 0 121.4475 0 0



-206.4175 0 0 -206.4175 0 0 -206.4175 0

-206.4175 5.2606 -0.4912 -206.4175 5.8325 -0.3738 -206.4175 6.5266

-206.4175 6.4542 -0.7744 -206.4175 7.2792 -0.6718 -206.4175 8.6832

-206.4175 7.9525 -1.101 -206.4175 9.1768 -0.944 -206.4175 11.2718

-206.4175 9.9847 -1.4852 -206.4175 11.6873 -1.1363 -198.7142 13.7379

-201.0327 12.2222 -1.8312 -193.8628 14.3525 -1.2118 -186.4575 16.1546

-187.0166 14.7246 -2.0505 -180.2204 16.9007 -1.2268 -173.6784 18.3779

-171.3832 17.1646 -2.1798 -165.8345 19.219 -1.2517 -160.5077 20.415

-154.3222 19.4239 -2.2643 -150.8003 21.3181 -1.2802 -146.6907 22.3071

-136.5162 21.3552 -2.3506 -134.8827 23.1508 -1.3418 -131.9283 24.1014

-117.5009 22.9526 -2.4776 -117.6302 24.7685 -1.4092 -116.1705 25.8171

-96.72 24.2777 -2.6147 -98.836 26.2608 -1.5032 -99.2944 27.5061

-74.1267 25.4234 -2.7689 -78.2207 27.694 -1.6164 -80.7682 29.2411

-61.0379 26.9965 -2.8777 -67.0513 29.6492 -1.6051 -72.1908 31.3585

-46.0442 28.3416 -2.975 -55.8798 31.1626 -1.6816 -64.5226 32.8497

-31.0486 28.8238 -3.2103 -44.8144 32.0903 -1.8838 -55.7957 34.4134

-12.6846 28.3956 -3.5621 -30.9063 32.8434 -2.1413 -45.6228 35.8322

7.2338 26.0093 -3.6147 -12.8239 30.9969 -2.3141 -30.4868 34.9812

29.2459 21.7672 -3.4801 8.664 27.0352 -2.3415 -12.0772 31.8259

50.5933 17.1548 -3.2325 30.3952 22.3485 -2.4278 7.8419 27.8402

75.6097 11.3486 -3.0531 54.6856 16.7033 -2.3556 29.992 23.0239

92.5318 7.3086 -2.1468 84.0079 9.5237 -2.3842 56.582 16.5418

111.1747 2.6405 -0.8428 105.5293 4.0833 -1.2394 94.6669 6.9127

120.662 0.2275 -0.09 120.3747 0.3119 -0.1169 119.543 0.5553

121.4475 0 0 121.4475 0 0 121.4475 0

M2

0

-0.2954

-0.5264

-0.5071

-0.565

-0.5819

-0.5938

-0.5947

-0.6209

-0.6376

-0.657

-0.6683

-0.7077

-0.611

-0.724

-0.8083

-0.9707

-1.154

-1.1346

-1.2494

-1.2171

-1.3848

-1.6104

-0.1783

0

Documents

Columna 1c