Calculo de Riendas y Fuerzas Graficos v2

PLANILLA de CLCULO GEOMTRICO de TORRE EVDM LW2EKJ

La torre en rojo esta en el centro aproximado del terreno.

en funcin de medidas del terreno. Son datos a entrar las

Estas Distancias se varian para determinar el lugar mejor,donde la fuerza soble los anclajes sea menor:

4.65 METROS5.65 METROS3.40 METROS


Pie de rienda ajustado si esta el anclaje mas bajo que la base de torreDiferencia de altura entre Base-anclaje Valor real

4.3 mts Rbv = (H2+4,30) / TAN(bb) 10.28

1) CLCULO de Ubicacin de Anclajes TORRE VISTA desde ARRIBA

Las descripciones en amarillo son para INGRESAR datos Anclaje By en Celeste para VER los RESULTADOS obtenidos.

Considero como anclajes los punto A B y C , la distancia Rb del anclaje B al centro de la torre es un dato a entrar.Las distancias Ra y Rc y todos los ngulos alfa se calculan

longitudes La , Lc y L que son perpendiculares entre si.

Distancia (La) de A a referencia L ..:Distancia (Lc) de C a referencia L ..:Distancia (L) de referencia central ..:

Distancia (Rb) de Anclaje B a base..:Distancia (Ra) de Anclaje A a base..: Anclaje C Anclaje ADistancia (Rc) de Anclaje C a base..:

Frmula

riendas a la torre considerando aca slo 2 niveles de altura.

suman todas para saber cuantos metros de cordn comprar:

por rienda y 30 Cm por cada union.

NIVEL BAJO de Riendas:

ALTURA H1 PRIMERA Rienda ....: 8.00 METROS


NIVEL ALTO de Riendas:

ALTURA H2 SEGUNDA Rienda .: 16.00 METROS


FORMULAS:LONGITUD TOTAL de ALAMBRE .....: 119.85 METROS

2) CLCULO del LARGO de las RIENDAS TORRE Vista lateral

Se deben ingresar las alturas H1 y H2 donde se atan las

Se calculan as dos riendas para cada anclaje A B y C y se

Para el clculo de cordn necesario se consideran 2 "aisladores"

LONGITUD DE LA RIENDA en A ......:LONGITUD DE LA RIENDA en B ......:LONGITUD DE LA RIENDA en C ......:

LONGITUD DE LA RIENDA en A ......:LONGITUD DE LA RIENDA en B ......:LONGITUD DE LA RIENDA en C ......:

de riendas + (1 mt * 36 uniones)

3) CLCULO DE LOS NGULOS

ngulos "alfa" de Riendas en el Plano Horizontal

53.83 GRADOS58.96 GRADOS

126.17 GRADOS112.79 GRADOS121.04 GRADOS



direccines y magnitud del viento.Pero si consideramos Ae como el area expuesta, con un coeficiente de forma Ce = 1.5 para este tipo de estructura y una presin de

Se podria calcular la fuerza Fv en funcion del area: Fv = Ae*Ce*Qz

100 KILOS

36.17 GRADOS

hay viento SUR a 90 grados de rienda Rb.

Calculo ngulos auxiliares respecto de eje X para calculo de fuerzas:

0.00 GRADOS36.17 GRADOS

123.88 KILOS73.12 KILOS


FUERZA POR VIENTO (Fv)........:

NGULO (con Rienda (Ra).......:

Se deduce la peor situacin de carga sobre el anclaje A cuando

4.1) Clculo intermedio, imaginando primero riendas virtuales horizontales como si =0 grados que descomponen a Fv en sus componentes F1 con direccin desde A y B a centro de torre

= 4 + 5

NGULO (4) ...............: (4) = - 5NGULO (5) ........: (5) = 1-

FUERZA F1A =0 EN ANCLAJE (A) ....: F1A = (Fv * (COS4)) / (COS5)FUERZA F1B =0 EN ANCLAJE (B) ....: F1B = (Fv * SENO 4) + (F1A * SENO 5)

4.2) Resultado FINAL, considerando ahora las riendas reales que descomponen a las 2 fuerzas F1A y F1B que actuan con direccin desde A y B hacia el centro de la torre, en 2, una fuerza Fa o Fb con un ngulo a o b sobre cada anclaje A o B y en una fuerza vertical Fta o Ftb.

FUERZA (Fa) EN ANCLAJE (A)............: COS(a)=ADJ/HIP=F1A/Fa ==> Fa=F1A / COS(a)FUERZA (Fb) EN ANCLAJE (B)............: COS(b)=ADJ/HIP=F1B/Fa ==> Fb=F1B / COS(b)


488.52 KILOS Fta + Ftb

La planilla se encuentra protegida con la clave "lw2ekj" para evitar el borrado no deseado de las formulas. Eduardo V. de Miguel 25-11-2006

FUERZA (Fta) En BASE Torre xF1A..: TAN(a)=OPU/ADJ=Fta/F1A ==> Fta=F1A * TAN(a)FUERZA (Ftb) En BASE Torre xF1B..: TAN(b)=OPU/ADJ=Ftb/F1B ==> Ftb=F1B * TAN(b)

FUERZA (Ft) Total EN BASE Torre....:

Verificacin del peor ngulo de ataque del viento, Se observa que es cuando viene con un ngulo de 90

desde la rienda Rb, que se genera la mayor fuerza sobre el anclaje "A"

ngulo alfa F1A Fa en A1 101 3032 102 3063 104 3104 105 3135 106 3166 107 3197 108 3228 109 3259 110 32810 111 33111 112 33412 113 33613 114 33914 115 34115 116 34316 116 34517 117 34718 118 34919 118 35120 119 35321 120 35522 120 35623 121 35724 121 35925 122 36026 122 36127 122 36228 123 36329 123 36430 123 36431 123 36532 124 36533 124 36534 124 36635 124 36636 124 36637 124 36638 124 36539 124 36540 124 36441 123 36442 123 36343 123 36244 123 361

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45 122 36046 122 35947 122 35848 121 35749 121 35550 120 35451 120 35252 119 35053 119 34854 118 34655 117 34456 117 34257 116 33958 115 33759 114 33560 113 33261 112 32962 112 32663 111 32364 110 32065 109 31766 107 31467 106 31168 105 30769 104 30470 103 30071 102 29772 100 29373 99 28974 98 28575 97 28176 95 27777 94 27378 92 26879 91 26480 89 25981 88 25582 86 25083 85 24684 83 24185 82 23686 80 23187 78 22688 77 22189 75 21690 73 21191 71 20592 70 20093 68 19594 66 18995 64 184

96 62 17897 60 17398 58 16799 57 161

100 55 156101 53 150102 51 144103 49 138104 47 132105 45 126106 43 120107 41 114108 39 108109 37 102110 35 96111 32 90112 30 83113 28 77114 26 71115 24 65116 22 58117 20 52118 18 46119 15 39120 13 33121 11 27122 9 20123 7 14124 5 7125 3 1126 0 -5127 -2 0

Verificacin del peor ngulo de ataque del viento, Se observa que es cuando viene con un ngulo de 90

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Verificacin del equilibrio entre las medidas de los angulos alfa entre riendas en funcion de la mejor distancia L. Se observa que son todos mas parecidos a 120 con una L de 2,90 mts.

L F1A F1B Fa Fb Ft Ra0.00 100.00 0.00 358.32 0.00 344.09 4.650.20 100.09 4.30 358.35 9.52 352.58 4.650.30 100.21 6.45 358.38 14.28 356.83 4.660.40 100.37 8.60 358.43 19.05 361.08 4.670.50 100.58 10.75 358.48 23.81 365.33 4.680.60 100.83 12.90 358.55 28.57 369.57 4.690.70 101.13 15.05 358.64 33.33 373.82 4.700.80 101.47 17.20 358.74 38.09 378.07 4.720.90 101.86 19.35 358.85 42.85 382.32 4.741.00 102.29 21.51 358.97 47.61 386.57 4.761.10 102.76 23.66 359.10 52.37 390.81 4.781.20 103.28 25.81 359.25 57.14 395.06 4.801.30 103.83 27.96 359.41 61.90 399.31 4.831.40 104.43 30.11 359.59 66.66 403.56 4.861.50 105.07 32.26 359.77 71.42 407.81 4.891.60 105.75 34.41 359.97 76.18 412.05 4.921.70 106.47 36.56 360.18 80.94 416.30 4.951.80 107.23 38.71 360.41 85.70 420.55 4.991.90 108.03 40.86 360.64 90.46 424.80 5.022.00 108.86 43.01 360.89 95.23 429.05 5.062.10 109.72 45.16 361.16 99.99 433.29 5.102.20 110.63 47.31 361.43 104.75 437.54 5.142.30 111.56 49.46 361.72 109.51 441.79 5.192.40 112.53 51.61 362.02 114.27 446.04 5.232.50 113.54 53.76 362.33 119.03 450.29 5.282.60 114.57 55.91 362.66 123.79 454.53 5.332.70 115.64 58.06 363.00 128.56 458.78 5.382.80 116.73 60.22 363.35 133.32 463.03 5.432.90 117.85 62.37 363.71 138.08 467.28 5.483.00 119.01 64.52 364.08 142.84 471.53 5.533.10 120.19 66.67 364.47 147.60 475.77 5.593.20 121.39 68.82 364.87 152.36 480.02 5.643.30 122.62 70.97 365.28 157.12 484.27 5.703.40 123.88 73.12 365.71 161.88 488.52 5.763.50 125.16 75.27 366.14 166.65 492.77 5.823.60 126.47 77.42 366.59 171.41 497.01 5.883.70 127.79 79.57 367.05 176.17 501.26 5.943.80 129.14 81.72 367.52 180.93 505.51 6.013.90 130.52 83.87 368.01 185.69 509.76 6.074.00 131.91 86.02 368.50 190.45 514.01 6.134.10 133.32 88.17 369.01 195.21 518.25 6.204.20 134.75 90.32 369.53 199.98 522.50 6.274.30 136.20 92.47 370.06 204.74 526.75 6.33

4.40 137.67 94.62 370.61 209.50 531.00 6.404.50 139.16 96.77 371.16 214.26 535.24 6.474.60 140.66 98.92 371.73 219.02 539.49 6.544.70 142.18 101.08 372.31 223.78 543.74 6.614.80 143.72 103.23 372.90 228.54 547.99 6.684.90 145.27 105.38 373.50 233.30 552.24 6.765.00 146.84 107.53 374.11 238.07 556.48 6.835.10 148.42 109.68 374.73 242.83 560.73 6.905.20 150.02 111.83 375.37 247.59 564.98 6.985.30 151.63 113.98 376.01 252.35 569.23 7.055.40 153.25 116.13 376.67 257.11 573.48 7.135.50 154.89 118.28 377.34 261.87 577.72 7.205.60 156.54 120.43 378.02 266.63 581.97 7.285.70 158.20 122.58 378.71 271.39 586.22 7.365.80 159.87 124.73 379.41 276.16 590.47 7.435.90 161.55 126.88 380.12 280.92 594.72 7.516.00 163.25 129.03 380.85 285.68 598.96 7.596.10 164.95 131.18 381.58 290.44 603.21 7.676.20 166.67 133.33 382.33 295.20 607.46 7.756.30 168.39 135.48 383.08 299.96 611.71 7.836.40 170.13 137.63 383.85 304.72 615.96 7.916.50 171.87 139.78 384.62 309.49 620.20 7.996.60 173.63 141.94 385.41 314.25 624.45 8.076.70 175.39 144.09 386.21 319.01 628.70 8.166.80 177.16 146.24 387.01 323.77 632.95 8.246.90 178.94 148.39 387.83 328.53 637.20 8.327.00 180.73 150.54 388.66 333.29 641.44 8.407.10 182.52 152.69 389.50 338.05 645.69 8.497.20 184.32 154.84 390.35 342.81 649.94 8.577.30 186.13 156.99 391.20 347.58 654.19 8.667.40 187.95 159.14 392.07 352.34 658.44 8.747.50 189.78 161.29 392.95 357.10 662.68 8.827.60 191.61 163.44 393.84 361.86 666.93 8.917.70 193.44 165.59 394.73 366.62 671.18 9.007.80 195.29 167.74 395.64 371.38 675.43 9.087.90 197.14 169.89 396.56 376.14 679.68 9.178.00 198.99 172.04 397.48 380.91 683.92 9.258.10 200.86 174.19 398.42 385.67 688.17 9.348.20 202.72 176.34 399.37 390.43 692.42 9.438.30 204.60 178.49 400.32 395.19 696.67 9.518.40 206.48 180.65 401.28 399.95 700.92 9.608.50 208.36 182.80 402.26 404.71 705.16 9.698.60 210.25 184.95 403.24 409.47 709.41 9.788.70 212.14 187.10 404.23 414.23 713.66 9.868.80 214.04 189.25 405.23 419.00 717.91 9.958.90 215.95 191.40 406.24 423.76 722.16 10.049.00 217.86 193.55 407.25 428.52 726.40 10.139.10 219.77 195.70 408.28 433.28 730.65 10.229.20 221.69 197.85 409.32 438.04 734.90 10.319.30 223.61 200.00 410.36 442.80 739.15 10.409.40 225.53 202.15 411.41 447.56 743.40 10.49

10000.00 215053.79 215053.76 215054.06 476131.37 425141.64 10000.00

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Verificacin del equilibrio entre las medidas de los angulos alfa entre riendas en funcion de la mejor distancia L.

Rc Rb 5.65 8.10 90.00 0.00 90.00 90.00 180.00 90.005.65 8.10 87.54 2.46 87.97 92.46 175.51 92.035.66 8.10 86.31 3.69 86.96 93.69 173.27 93.045.66 8.10 85.08 4.92 85.95 94.92 171.03 94.055.67 8.10 83.86 6.14 84.94 96.14 168.81 95.065.68 8.10 82.65 7.35 83.94 97.35 166.59 96.065.69 8.10 81.44 8.56 82.94 98.56 164.38 97.065.71 8.10 80.24 9.76 81.94 99.76 162.18 98.065.72 8.10 79.05 10.95 80.95 100.95 160.00 99.055.74 8.10 77.86 12.14 79.96 102.14 157.83 100.045.76 8.10 76.69 13.31 78.98 103.31 155.67 101.025.78 8.10 75.53 14.47 78.01 104.47 153.54 101.995.80 8.10 74.38 15.62 77.04 105.62 151.42 102.965.82 8.10 73.24 16.76 76.08 106.76 149.33 103.925.85 8.10 72.12 17.88 75.13 107.88 147.25 104.875.87 8.10 71.01 18.99 74.19 108.99 145.20 105.815.90 8.10 69.92 20.08 73.25 110.08 143.17 106.755.93 8.10 68.84 21.16 72.33 111.16 141.17 107.675.96 8.10 67.77 22.23 71.41 112.23 139.19 108.595.99 8.10 66.73 23.27 70.51 113.27 137.23 109.496.03 8.10 65.70 24.30 69.61 114.30 135.31 110.396.06 8.10 64.68 25.32 68.73 115.32 133.41 111.276.10 8.10 63.68 26.32 67.85 116.32 131.53 112.156.14 8.10 62.70 27.30 66.99 117.30 129.69 113.016.18 8.10 61.74 28.26 66.13 118.26 127.87 113.876.22 8.10 60.79 29.21 65.29 119.21 126.08 114.716.26 8.10 59.86 30.14 64.46 120.14 124.32 115.546.31 8.10 58.95 31.05 63.64 121.05 122.58 116.366.35 8.10 58.05 31.95 62.83 121.95 120.88 117.176.40 8.10 57.17 32.83 62.03 122.83 119.20 117.976.44 8.10 56.31 33.69 61.25 123.69 117.56 118.756.49 8.10 55.47 34.53 60.47 124.53 115.94 119.536.54 8.10 54.64 35.36 59.71 125.36 114.35 120.296.59 8.10 53.83 36.17 58.96 126.17 112.79 121.046.65 8.10 53.03 36.97 58.22 126.97 111.25 121.786.70 8.10 52.25 37.75 57.50 127.75 109.75 122.506.75 8.10 51.49 38.51 56.78 128.51 108.27 123.226.81 8.10 50.74 39.26 56.08 129.26 106.82 123.926.87 8.10 50.01 39.99 55.38 129.99 105.40 124.626.92 8.10 49.30 40.70 54.70 130.70 104.00 125.306.98 8.10 48.60 41.40 54.03 131.40 102.63 125.977.04 8.10 47.91 42.09 53.37 132.09 101.29 126.637.10 8.10 47.24 42.76 52.73 132.76 99.97 127.27

a c

7.16 8.10 46.58 43.42 52.09 133.42 98.67 127.917.22 8.10 45.94 44.06 51.46 134.06 97.40 128.547.29 8.10 45.31 44.69 50.85 134.69 96.16 129.157.35 8.10 44.69 45.31 50.24 135.31 94.94 129.767.41 8.10 44.09 45.91 49.65 135.91 93.74 130.357.48 8.10 43.50 46.50 49.07 136.50 92.57 130.937.54 8.10 42.92 47.08 48.49 137.08 91.42 131.517.61 8.10 42.36 47.64 47.93 137.64 90.29 132.077.68 8.10 41.80 48.20 47.37 138.20 89.18 132.637.75 8.10 41.26 48.74 46.83 138.74 88.09 133.177.82 8.10 40.73 49.27 46.30 139.27 87.03 133.707.88 8.10 40.21 49.79 45.77 139.79 85.98 134.237.96 8.10 39.70 50.30 45.25 140.30 84.96 134.758.03 8.10 39.21 50.79 44.75 140.79 83.95 135.258.10 8.10 38.72 51.28 44.25 141.28 82.97 135.758.17 8.10 38.24 51.76 43.76 141.76 82.00 136.248.24 8.10 37.78 52.22 43.28 142.22 81.05 136.728.31 8.10 37.32 52.68 42.81 142.68 80.12 137.198.39 8.10 36.87 53.13 42.34 143.13 79.21 137.668.46 8.10 36.43 53.57 41.89 143.57 78.32 138.118.54 8.10 36.00 54.00 41.44 144.00 77.44 138.568.61 8.10 35.58 54.42 41.00 144.42 76.58 139.008.69 8.10 35.17 54.83 40.57 144.83 75.73 139.438.76 8.10 34.76 55.24 40.14 145.24 74.90 139.868.84 8.10 34.37 55.63 39.72 145.63 74.09 140.288.92 8.10 33.98 56.02 39.31 146.02 73.29 140.699.00 8.10 33.60 56.40 38.91 146.40 72.50 141.099.07 8.10 33.22 56.78 38.51 146.78 71.73 141.499.15 8.10 32.86 57.14 38.12 147.14 70.98 141.889.23 8.10 32.50 57.50 37.74 147.50 70.24 142.269.31 8.10 32.14 57.86 37.36 147.86 69.51 142.649.39 8.10 31.80 58.20 36.99 148.20 68.79 143.019.47 8.10 31.46 58.54 36.63 148.54 68.09 143.379.55 8.10 31.13 58.87 36.27 148.87 67.40 143.739.63 8.10 30.80 59.20 35.92 149.20 66.72 144.089.71 8.10 30.48 59.52 35.57 149.52 66.05 144.439.79 8.10 30.17 59.83 35.23 149.83 65.40 144.779.88 8.10 29.86 60.14 34.90 150.14 64.76 145.109.96 8.10 29.56 60.44 34.57 150.44 64.12 145.43

10.04 8.10 29.26 60.74 34.24 150.74 63.50 145.7610.12 8.10 28.97 61.03 33.93 151.03 62.89 146.0710.21 8.10 28.68 61.32 33.61 151.32 62.29 146.3910.29 8.10 28.40 61.60 33.30 151.60 61.70 146.7010.37 8.10 28.12 61.88 33.00 151.88 61.12 147.0010.46 8.10 27.85 62.15 32.70 152.15 60.55 147.3010.54 8.10 27.59 62.41 32.41 152.41 59.99 147.5910.63 8.10 27.32 62.68 32.12 152.68 59.44 147.8810.71 8.10 27.07 62.93 31.84 152.93 58.90 148.1610.80 8.10 26.81 63.19 31.56 153.19 58.37 148.4410.88 8.10 26.57 63.43 31.28 153.43 57.84 148.7210.97 8.10 26.32 63.68 31.01 153.68 57.33 148.99

10000.00 8.10 0.03 89.97 0.03 179.97 0.06 179.97

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menor dif Fta Ftb180.00 0.00 0.00 73.79 63.15 344.09 0.00166.53 0.00 2.46 73.78 63.15 344.09 8.50159.81 0.00 3.69 73.76 63.15 344.09 12.74153.10 0.00 4.92 73.74 63.15 344.09 16.99146.42 0.00 6.14 73.71 63.15 344.09 21.24139.76 0.00 7.35 73.67 63.15 344.09 25.49133.13 0.00 8.56 73.62 63.15 344.09 29.74126.54 0.00 9.76 73.57 63.15 344.09 33.98119.99 0.00 10.95 73.51 63.15 344.09 38.23113.48 0.00 12.14 73.44 63.15 344.09 42.48107.02 0.00 13.31 73.37 63.15 344.09 46.73100.62 0.00 14.47 73.29 63.15 344.09 50.9894.27 0.00 15.62 73.21 63.15 344.09 55.2287.98 0.00 16.76 73.12 63.15 344.09 59.4781.76 0.00 17.88 73.02 63.15 344.09 63.7275.60 0.00 18.99 72.92 63.15 344.09 67.9769.52 0.00 20.08 72.81 63.15 344.09 72.2263.50 0.00 21.16 72.69 63.15 344.09 76.4657.56 0.00 22.23 72.57 63.15 344.09 80.7151.70 0.00 23.27 72.44 63.15 344.09 84.9645.92 0.00 24.30 72.31 63.15 344.09 89.2140.22 0.00 25.32 72.18 63.15 344.09 93.4634.60 0.00 26.32 72.04 63.15 344.09 97.7029.06 0.00 27.30 71.89 63.15 344.09 101.9523.60 0.00 28.26 71.74 63.15 344.09 106.2018.23 0.00 29.21 71.58 63.15 344.09 110.4512.95 0.00 30.14 71.42 63.15 344.09 114.707.75 0.00 31.05 71.26 63.15 344.09 118.944.78 0.00 31.95 71.09 63.15 344.09 123.194.86 0.00 32.83 70.92 63.15 344.09 127.447.33 0.00 33.69 70.75 63.15 344.09 131.69

12.18 0.00 34.53 70.57 63.15 344.09 135.9416.95 0.00 35.36 70.39 63.15 344.09 140.1821.64 0.00 36.17 70.20 63.15 344.09 144.4326.24 0.00 36.97 70.01 63.15 344.09 148.6830.75 0.00 37.75 69.82 63.15 344.09 152.9335.19 0.00 38.51 69.62 63.15 344.09 157.1839.54 0.00 39.26 69.43 63.15 344.09 161.4243.81 0.00 39.99 69.23 63.15 344.09 165.6748.00 0.00 40.70 69.03 63.15 344.09 169.9252.11 0.00 41.40 68.82 63.15 344.09 174.1756.14 0.00 42.09 68.61 63.15 344.09 178.4160.10 0.00 42.76 68.40 63.15 344.09 182.66

a b

63.98 0.00 43.42 68.19 63.15 344.09 186.9167.79 0.00 44.06 67.98 63.15 344.09 191.1671.52 0.00 44.69 67.77 63.15 344.09 195.4175.19 0.00 45.31 67.55 63.15 344.09 199.6578.78 0.00 45.91 67.33 63.15 344.09 203.9082.30 0.00 46.50 67.11 63.15 344.09 208.1585.75 0.00 47.08 66.89 63.15 344.09 212.4089.14 0.00 47.64 66.67 63.15 344.09 216.6592.46 0.00 48.20 66.44 63.15 344.09 220.8995.72 0.00 48.74 66.22 63.15 344.09 225.1498.92 0.00 49.27 65.99 63.15 344.09 229.39

102.05 0.00 49.79 65.77 63.15 344.09 233.64105.12 0.00 50.30 65.54 63.15 344.09 237.89108.14 0.00 50.79 65.31 63.15 344.09 242.13111.09 0.00 51.28 65.08 63.15 344.09 246.38113.99 0.00 51.76 64.85 63.15 344.09 250.63116.84 0.00 52.22 64.62 63.15 344.09 254.88119.63 0.00 52.68 64.39 63.15 344.09 259.13122.36 0.00 53.13 64.16 63.15 344.09 263.37125.05 0.00 53.57 63.92 63.15 344.09 267.62127.68 0.00 54.00 63.69 63.15 344.09 271.87130.27 0.00 54.42 63.46 63.15 344.09 276.12132.80 0.00 54.83 63.22 63.15 344.09 280.37135.29 0.00 55.24 62.99 63.15 344.09 284.61137.74 0.00 55.63 62.76 63.15 344.09 288.86140.13 0.00 56.02 62.52 63.15 344.09 293.11142.49 0.00 56.40 62.29 63.15 344.09 297.36144.80 0.00 56.78 62.06 63.15 344.09 301.61147.07 0.00 57.14 61.82 63.15 344.09 305.85149.29 0.00 57.50 61.59 63.15 344.09 310.10151.48 0.00 57.86 61.36 63.15 344.09 314.35153.63 0.00 58.20 61.12 63.15 344.09 318.60155.74 0.00 58.54 60.89 63.15 344.09 322.85157.81 0.00 58.87 60.66 63.15 344.09 327.09159.84 0.00 59.20 60.42 63.15 344.09 331.34161.84 0.00 59.52 60.19 63.15 344.09 335.59163.80 0.00 59.83 59.96 63.15 344.09 339.84165.73 0.00 60.14 59.73 63.15 344.09 344.09167.63 0.00 60.44 59.49 63.15 344.09 348.33169.49 0.00 60.74 59.26 63.15 344.09 352.58171.32 0.00 61.03 59.03 63.15 344.09 356.83173.12 0.00 61.32 58.80 63.15 344.09 361.08174.89 0.00 61.60 58.57 63.15 344.09 365.33176.63 0.00 61.88 58.34 63.15 344.09 369.57178.34 0.00 62.15 58.12 63.15 344.09 373.82180.02 0.00 62.41 57.89 63.15 344.09 378.07181.67 0.00 62.68 57.66 63.15 344.09 382.32183.29 0.00 62.93 57.43 63.15 344.09 386.57184.89 0.00 63.19 57.21 63.15 344.09 390.81186.47 0.00 63.43 56.98 63.15 344.09 395.06188.01 0.00 63.68 56.76 63.15 344.09 399.31

359.82 0.00 89.97 0.09 63.15 344.09 424797.56

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Calculo de Riendas y Fuerzas Graficos v2

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Transcript of Calculo de Riendas y Fuerzas Graficos v2