MEMORIA DE CÁLCULO MONOPOLO 30.M DOS CRUCES EXISTENTE

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MEMORIA DE CÁLCULO MONOPOLO EXISTENTE DE 30M V=120 Km/h

PROYECTO EBC DOS CRUCES

PROYECTO REVISIÓN A

Memoria Cálculo Estructural Monopolo de 30.00m Para revisión y comentarios

Febrero 2012

CADEXE INGS. | Jr. Líneas de Nazca Mz. D'2 Lt.3 Urb. Portada del Sol - La Molina - Lima 12 Teléfono: 7748 573 - 1 -

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INDICE

1. ALCANCES. 2. DESCRIPCION DEL PROYECTO. 3. NORMAS A UTILIZAR. 4. MATERIALES. 5. METODO DE ANALISIS. 6. CARGAS DE EVALUACIÓN ESTRUCTURAL. 7. DEFORMACIONES. 8. COMBINACIONES DE CARGA. 9. ESTRUCTURACIÓN. 10. DATOS DE ENTRADA MODELACION DE MONOPOLO EXISTENTE. 11. INGRESO DE CARGA DE ANTENAS EN LA ESTRUCTURA EXISTENTE. 12. RESULTADOS DE LA MODELACION Y VERIFICACIÓN DE ELEMENTOS EXISTENTES PARA UNA VELOCIDAD DE SUPERVIVENCIA DE 120KMH / REACCIONES EN LA BASE. 13. DEFORMACIONES DE LA ESTRUCTURA EXISTENTE PARA UNA VELOCIDAD OPERACIONAL DE 90KMH. 14. CONCLUSIONES. 15. REGISTRO FOTOGRÁFICO.


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BASES DE CÁLCULO Y ESTRUCTURACION 1. ALCANCES La presente memoria de cálculo describe los criterios adoptados para la evaluación estructural del Monopolo existente de 30.00m propiedad de América Móvil (EBC DOS CRUCES), ubicada en el Cerro Dos Cruces (Cerro Las Papas), distrito de San Juan de Miraflores, Provincia de Lima, departamento de Lima. En la presente también se especifican los materiales utilizados, las cargas consideradas y sus combinaciones, método de análisis, las normas y códigos que se emplearán en el presente informe.

2. DESCRIPCION DEL PROYECTO Las dimensiones de la estructura a evaluar son las que se entregan a continuación: • Altura total 30.00 m. • Compuesta por 5 cuerpos de sección circular, cada uno de 6m. Paredes • Cuerpo Nº 1: 1/4 de espesor, ø int. 10” • Cuerpo Nº 2: 5/16 de espesor, ø int. 14” • Cuerpo Nº 3: 3/8 de espesor, ø int. 18” • Cuerpo Nº 4: 3/8 de espesor, ø int. 24” • Cuerpo Nº 5: 1/2 de espesor, ø int. 24” 3. NORMAS A UTILIZAR Las normas que contemplan el siguiente proyecto estructural son las siguientes: i. AISC. “Specifications for structural steel buildings – Allowable stress design and plastic design”, June 1989. ii. TIA/EIA 222 – F. “Structural Standards for steel antenna towers and antenna supporting structures”, June 1996 iii. ACI 318-99. “Building Code Requirements for Reinforced Concrete”. American Concrete Institute.”


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4. MATERIALES Los materiales utilizados son los siguientes: - Tramos: Acero A36. - Pernos Grado 5 o similar. 5. METODO DE ANALISIS La evaluación de la estructura se realizará considerando el Método de Tensiones Admisibles (ASD), bajo el supuesto de pequeñas deformaciones de modo que la estructura se comporte bajo la teoría elástica lineal.

6. CARGAS DE EVALUACIÓN ESTRUCTURAL Cargas Permanentes Peso Propio (PP): Para el cálculo del peso propio de los elementos se consideró el peso de todos los elementos metálicos, plataformas de trabajo. Soportes metálicos de antenas, empalmes, escaleras cables rack.


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Cargas Eventuales Viento (W) El viento de diseño o supervivencia es de 120 kph a los 10m con respecto al nivel de terreno, mientras que el viento operacional será de 90kph. Sismo (E) No se considera pues la acción del viento es preponderante ante la acción sísmica. Nieve (S) No se solicitó verificar la estructura con carga de nieve, por ende este efecto no es considerado en el presente informe. 7. DEFORMACIONES Se considerará la deformación máxima de la estructura al valor medido en la cúspide de la torre asociado a una desangulación recomendada por la TIA/EIA/222/F. A solicitud de América Móvil los desplazamientos máximos serán medidos a una velocidad de operación de 120Km/h. 8. COMBINACIONES DE CARGA Para obtener las combinaciones de carga que se utilizarán en el análisis de la estructura se debe cumplir con lo expuesto en las norma AISC (ASD 89). Do (Carga Muerta) + Wi (Carga de Viento) 9. ESTRUCTURACIÓN El Monopolo está conformado por 5 paneles de sección circular de 6.00m de altura cada uno.


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VISTA EN ELEVACION DE MONOPOLO EXISTENTE


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10. DATOS DE ENTRADA MODELACION DE LA TORRE EXISTENTE CARGAS DE VIENTO - VELOCIDAD DE EVALUACIÓN ESTRUCTURAL La velocidad básica de verificación especificada para esta estructura es de 120 kph, a los 10 m desde el nivel del terreno. En la evaluación del Monopolo se aplicarán los criterios del manual EIA/TIA 222F (96). Para la evaluación de la estructura se utilizó el programa “MSTower” basado en el método de los elementos finitos, en el que considera la torre como una estructura espacial. La torre se define como un conjunto de nudos y barras y los resultados que se obtienen para cada hipótesis de cálculo son los desplazamientos de cada nudo y los esfuerzos en cada una de las barras. Relaciones de esbeltez (Kl/r) de las barras - Miembros principales a compresión: - Miembros secundarios a compresión: - Celosías y barras de relleno: - Barras de tracción:

120 200 250 350

FORMULAS EIA / TIA

‐ CARGA DE VIENTO SOBRE ANTENAS Las dimensiones, cantidades y ubicaciones de las antenas fueron obtenidas de la visita técnica hecha a la torre instalada en el EBC DOS CRUCES.


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Los resultados que se obtienen son de aplicar la norma TIA/EIA/222/F sobre las antenas detalladas en la visita técnica. Las antenas existentes consideradas son: -

07 antenas microonda de 0.30m de diámetro.

-


-


-

03 antenas RF de 1.30m

-

03 antenas RF de 2.60m

DATOS DE ENTRADA DE GEOMETRIA DE LA TORRE TITL1 TITL2

MONOPOLO 30.00M VERIFICACION A 120 KPH

UNITS 1 PROFILE FACES 1 WBASE 0.700 RLBAS 0.000 PANEL 1 HT FACE SH1 LEG PANEL 2 HT FACE SH1 LEG PANEL 3 HT FACE SH1 LEG PANEL 4 HT FACE SH1 LEG PANEL 5 HT FACE SH1 LEG PANEL 6 HT FACE SH1 LEG PANEL 7 HT FACE SH1 LEG PANEL 8 HT FACE SH1 LEG PANEL 9 HT FACE SH1 LEG PANEL 10 HT FACE SH1 LEG PANEL 11 HT FACE SH1 LEG PANEL 12 HT FACE SH1 LEG PANEL 13 HT FACE SH1 LEG PANEL 14 HT

0.1071 1 R1 0.1071 2 R1 0.1071 3 R1 0.1071 4 R1 0.1071 5 R1 0.1071 6 R1 0.1071 7 R1 0.1071 8 R1 0.1071 9 R1 0.1071 10 R1 0.1071 11 R1 0.1071 12 R1 0.1071 13 R1 0.1071

TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10 116 TW 0.10


„ FACE SH1 LEG PANEL 15 HT FACE SH1 LEG PANEL 16 HT FACE SH1 LEG PANEL 17 HT FACE SH1 LEG PANEL 18 HT FACE SH1 LEG PANEL 19 HT FACE SH1 LEG PANEL 20 HT FACE SH1 LEG PANEL 21 HT FACE SH1 LEG PANEL 22 HT FACE SH1 LEG PANEL 23 HT FACE SH1 LEG PANEL 24 HT FACE SH1 LEG PANEL 25 HT FACE SH1 LEG PANEL 26 HT FACE SH1 LEG PANEL 27 HT FACE SH1 LEG PANEL 28 HT FACE SH1 LEG PANEL 29 HT FACE SH1 LEG PANEL 30 HT FACE SH1 LEG PANEL 31 HT FACE SH1 LEG PANEL 32 HT FACE SH1 LEG PANEL 33 HT FACE SH1 LEG PANEL 34 HT FACE SH1 LEG PANEL 35 HT FACE SH1 LEG PANEL 36 HT FACE SH1 LEG PANEL 37 HT FACE SH1 LEG PANEL 38 HT FACE SH1 LEG PANEL 39 HT FACE SH1 LEG PANEL 40 HT FACE SH1 LEG PANEL 41 HT FACE SH1 LEG PANEL 42 HT FACE SH1 LEG PANEL 43 HT FACE SH1 LEG PANEL 44 HT

14 R1 116 0.1071 TW 0.10 15 R1 116 0.1071 TW 0.10 16 R1 116 0.1071 TW 0.10 17 R1 116 0.1071 TW 0.10 18 R1 116 0.1071 TW 0.10 19 R1 116 0.1071 TW 0.10 20 R1 116 0.1071 TW 0.2767 21 R1 116 0.1071 TW 0.2767 22 R1 116 0.1071 TW 0.2767 23 R1 116 0.1071 TW 0.2767 24 R1 116 0.1071 TW 0.2767 25 R1 116 0.1071 TW 0.2767 26 R1 116 0.1071 TW 0.2767 27 R1 116 0.1071 TW 0.2767 28 R1 116 0.20 TW 0.2767 29 R1 116 0.20 TW 0.2767 30 R1 116 0.20 TW 0.2767 31 R1 116 0.20 TW 0.2767 32 R1 116 0.20 TW 0.2767 33 R1 116 0.20 TW 0.2767 34 R1 116 0.20 TW 0.2767 35 R1 116 0.20 TW 0.2767 36 R1 116 0.20 TW 0.2767 37 R1 116 0.20 TW 0.2767 38 R1 116 0.20 TW 0.2767 39 R1 116 0.20 TW 0.2767 40 R1 116 0.20 TW 0.2767 41 R1 116 0.20 TW 0.2767 42 R1 116 0.20 TW 0.2767 43 R1 116 0.20 TW 0.2767


„ FACE SH1 LEG PANEL 45 HT FACE SH1 LEG PANEL 46 HT FACE SH1 LEG PANEL 47 HT FACE SH1 LEG PANEL 48 HT FACE SH1 LEG PANEL 49 HT FACE SH1 LEG PANEL 50 HT FACE SH1 LEG PANEL 51 HT FACE SH1 LEG PANEL 52 HT FACE SH1 LEG PANEL 53 HT FACE SH1 LEG PANEL 54 HT FACE SH1 LEG PANEL 55 HT FACE SH1 LEG PANEL 56 HT FACE SH1 LEG PANEL 57 HT FACE SH1 LEG PANEL 58 HT FACE SH1 LEG PANEL 59 HT FACE SH1 LEG PANEL 60 HT FACE SH1 LEG PANEL 61 HT FACE SH1 LEG PANEL 62 HT FACE SH1 LEG PANEL 63 HT FACE SH1 LEG PANEL 64 HT FACE SH1 LEG PANEL 65 HT FACE SH1 LEG PANEL 66 HT FACE SH1 LEG PANEL 67 HT FACE SH1 LEG PANEL 68 HT FACE SH1 LEG PANEL 69 HT FACE SH1 LEG PANEL 70 HT FACE SH1 LEG PANEL 71 HT FACE SH1 LEG PANEL 72 HT FACE SH1 LEG PANEL 73 HT FACE SH1 LEG PANEL 74 HT

44 R1 116 0.20 TW 0.2767 45 R1 116 0.20 TW 0.2767 46 R1 116 0.20 TW 0.2767 47 R1 116 0.20 TW 0.2767 48 R1 116 0.20 TW 0.2767 49 R1 116 0.20 TW 0.2767 50 R1 116 0.20 TW 0.2767 51 R1 116 0.20 TW 0.2767 52 R1 116 0.20 TW 0.2767 53 R1 116 0.20 TW 0.2767 54 R1 116 0.20 TW 0.2767 55 R1 116 0.20 TW 0.2767 56 R1 116 0.20 TW 0.2767 57 R1 116 0.20 TW 0.2767 58 R1 116 0.3000 TW 0.3715 59 R1 116 0.3000 TW 0.3715 60 R1 116 0.3000 TW 0.3715 61 R1 116 0.3000 TW 0.3715 62 R1 116 0.3000 TW 0.3715 63 R1 116 0.3000 TW 0.3715 64 R1 116 0.3000 TW 0.3715 65 R1 116 0.3000 TW 0.3715 66 R1 116 0.3000 TW 0.3715 67 R1 116 0.3000 TW 0.3715 68 R1 116 0.3000 TW 0.3715 69 R1 116 0.3000 TW 0.3715 70 R1 116 0.3000 TW 0.3715 71 R1 116 0.3000 TW 0.3715 72 R1 116 0.3000 TW 0.3715 73 R1 116 0.3000 TW 0.3715


„ FACE SH1 LEG PANEL 75 HT FACE SH1 LEG PANEL 76 HT FACE SH1 LEG PANEL 77 HT FACE SH1 LEG PANEL 78 HT FACE SH1 LEG PANEL 79 HT FACE SH1 LEG PANEL 80 HT FACE SH1 LEG PANEL 81 HT FACE SH1 LEG PANEL 82 HT FACE SH1 LEG PANEL 83 HT FACE SH1 LEG PANEL 84 HT FACE SH1 LEG PANEL 85 HT FACE SH1 LEG PANEL 86 HT FACE SH1 LEG PANEL 87 HT FACE SH1 LEG PANEL 88 HT FACE SH1 LEG PANEL 89 HT FACE SH1 LEG PANEL 90 HT FACE SH1 LEG PANEL 91 HT FACE SH1 LEG PANEL 92 HT FACE SH1 LEG PANEL 93 HT FACE SH1 LEG

74 R1 0.3000 75 R1 0.3000 76 R1 0.3000 77 R1 0.3000 78 R1 0.4000 79 R1 0.4000 80 R1 0.4000 81 R1 0.4000 82 R1 0.4000 83 R1 0.4000 84 R1 0.4000 85 R1 0.4000 86 R1 0.4000 87 R1 0.4000 88 R1 0.4000 89 R1 0.4000 90 R1 0.4000 91 R1 0.4000 92 R1 0.4000 93 R1

116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116

PANEL 94 HT FACE SH1 LEG PANEL 95 HT FACE SH1 LEG PANEL 96 HT FACE SH1 LEG PANEL 97 HT FACE SH1 LEG PANEL 98 HT FACE SH1 LEG PANEL 99 HT FACE SH1 LEG PANEL 100 HT FACE SH1 LEG PANEL 101 HT FACE SH1 LEG PANEL 102 HT FACE SH1 LEG PANEL 103 HT FACE SH1 LEG

0.5000 TW 94 R1 116 0.5000 TW 95 R1 116 0.5000 TW 96 R1 116 0.5000 TW 97 R1 116 0.5000 TW 98 R1 116 0.5000 TW 99 R1 116 0.5000 TW 100 R1 116 0.5000 TW 101 R1 116 0.5000 TW 102 R1 116 0.5000 TW 103 R1 116

0.3715 0.3715 0.3715 0.3715 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.4762 0.6281 0.6281 0.6281 0.6281 0.6281 0.6281 0.6281 0.6281 0.6281 0.6281


„ PANEL 104 HT FACE SH1 LEG PANEL 105 HT FACE SH1 LEG

0.5000 TW 104 R1 116 0.5000 TW 105 R1 116

0.6281

PANEL 106 HT FACE SH1 LEG PANEL 107 HT FACE SH1 LEG PANEL 108 HT FACE SH1 LEG PANEL 109 HT FACE SH1 LEG PANEL 110 HT FACE SH1 LEG PANEL 111 HT FACE SH1 LEG PANEL 112 HT FACE SH1 LEG PANEL 113 HT FACE SH1 LEG PANEL 114 HT FACE SH1 LEG PANEL 115 HT FACE SH1 LEG PANEL 116 HT FACE SH1 LEG

0.6000 106 R1 0.6000 107 R1 0.6000 108 R1 0.6000 109 R1 0.6000 110 R1 0.6000 111 R1 0.6000 112 R1 0.6000 113 R1 0.6000 114 R1 0.6000 115 R1 0.0000 115 R1

0.6399

TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116 TW 116

0.6281

0.6399 0.6399 0.6399 0.6399 0.6399 0.6399 0.6399 0.6399 0.6399 0.6399

END SECTIONS LIB MStower0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

PG1.100x0 PG2.100x0 PG3.100x0 PG4.100x0 PG5.100x0 PG6.100x0 PG7.100x0 PG8.100x0 PG9.100x0 PG10.100x0 PG11.100x0 PG12.100x0 PG13.100x0 PG14.100x0 PG15.100x0 PG16.100x0 PG17.100x0 PG18.100x0 PG19.100x0 PG20.100x0 PG21.100x0 PG22.100x0 PG23.100x0 PG24.100x0 PG25.100x0 PG26.100x0 PG27.100x0

FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY

250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00


„ 28 PG28.100x0

FY

250.00

29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58

PG29.266x1 PG30.266x1 PG31.266x1 PG32.266x1 PG33.266x1 PG34.266x1 PG35.266x1 PG36.266x1 PG37.266x1 PG38.266x1 PG39.266x1 PG40.266x1 PG41.266x1 PG42.266x1 PG43.266x1 PG44.266x1 PG45.266x1 PG46.266x1 PG47.266x1 PG48.266x1 PG49.266x1 PG50.266x1 PG51.266x1 PG52.266x1 PG53.266x1 PG54.266x1 PG55.266x1 PG56.266x1 PG57.266x1 PG58.266x1

FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY

250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00

59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78

PG59.371x2 PG60.371x2 PG61.371x2 PG62.371x2 PG63.371x2 PG64.371x2 PG65.371x2 PG66.371x2 PG67.371x2 PG68.371x2 PG69.371x2 PG70.371x2 PG71.371x2 PG72.371x2 PG73.371x2 PG74.371x2 PG75.371x2 PG76.371x2 PG77.371x2 PG78.371x2

FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY FY

250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00

79 80 81 82 83 84

PG79.476x3 PG80.476x3 PG81.476x3 PG82.476x3 PG83.476x3 PG84.476x3

FY FY FY FY FY FY

250.00 250.00 250.00 250.00 250.00 250.00


„ 85 86 87 88 89 90 91 92 93

PG85.476x3 PG86.476x3 PG87.476x3 PG88.476x3 PG89.476x3 PG90.476x3 PG91.476x3 PG92.476x3 PG93.476x3

94 PG94.628x4 95 PG95.628x4 96 PG96.628x4 97 PG97.628x4 98 PG98.628x4 99 PG99.628x4 100 PG100.628x4 101 PG101.628x4 102 PG102.628x4 103 PG103.628x4 104 PG104.628x4 105 PG105.628x4 106 107 108 109 110 111 112 113 114 115

PG106.640x5 PG107.640x5 PG108.640x5 PG109.640x5 PG110.640x5 PG111.640x5 PG112.640x5 PG113.640x5 PG114.640x5 PG115.640x5

116 DUMMY

FY FY FY FY FY FY FY FY FY

250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00

FY FY FY FY FY FY FY FY FY FY FY FY

250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00

FY FY FY FY FY FY FY FY FY FY

250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00 250.00

FY

250.00

END SUPPORT COORD 0.0 0.0 0.0 FIXED END EOF


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11. INGRESO DE CARGA DE ANTENAS EN LA ESTRUCTURA EXISTENTE. 11.1. VELOCIDAD DE DISEÑO O SUPERVIVENCIA La velocidad considerada para el diseño es de 120Kph (33.33 m/s) medidas a 10m con respecto al nivel de terreno y considerando las siguientes hipótesis de carga para la ráfaga del viento: 1.- Velocidad aplicada con azimuth de 0º. 2.- Velocidad aplicada con azimuth de 30º. 3.- Velocidad aplicada con azimuth de 60º. 4.- Velocidad aplicada con azimuth de 90º. 5.- Velocidad aplicada con azimuth de 120º. 6.- Velocidad aplicada con azimuth de 150º. 7.- Velocidad aplicada con azimuth de 180º. 8.- Velocidad aplicada con azimuth de 210º. 9.- Velocidad aplicada con azimuth de 240º. 10.‐ Velocidad aplicada con azimuth de 270º. 11.‐ Velocidad aplicada con azimuth de 300º. 12.‐ Velocidad aplicada con azimuth de 330º. 13.‐ Velocidad aplicada con azimuth de 360º. PARAMETERS ANGN 0.0 $ Angle Anti-clockwise from X axis to North CODE EIA222 ICE RO 0.0 RW ALTOP 0 $ PSF-V 1.200 PSF-M 1.20 VB 33.33 MILE, adjusted

$ WIND PROFILE TO THIS CODE 0.0 $ For icing SITE + TOWER HEIGHT for icing $ Partial safety factor for wind speed, BS8100 $ Partial safety factor for Material strength, BS8100 $ ENTER SITE WINDSPEED HERE MEAN HOURLY, GUST or FASTEST for height

OVERLAP 1 $ Allow for the overlap of members END LOADS CASE 100 DL $ TODO CASE 200 WL ANGLX

Weight of tower plus ancillaries any additional NDLDs go here wind at 0 to X axis 0.0 NOICE

CASE 220 wind at 30 to X axis WL ANGLX 30.0 NOICE CASE 240 wind at 60 to X axis WL ANGLX 60.0 NOICE


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CASE 260 wind at 90 to X axis WL ANGLX 90.0 NOICE CASE 280 wind at 120 to X axis WL ANGLX 120.0 NOICE CASE 300 wind at 150 to X axis WL ANGLX 150.0 NOICE CASE 320 wind at 180 to X axis WL ANGLX 180.0 NOICE CASE 340 wind at 210 to X axis WL ANGLX 210.0 NOICE CASE 360 wind at 240 to X axis WL ANGLX 240.0 NOICE CASE 380 wind at 270 to X axis WL ANGLX 270.0 NOICE CASE 400 wind at 300 to X axis WL ANGLX 300.0 NOICE CASE 420 wind at 330 to X axis WL ANGLX 330.0 NOICE CASE 440 wind at 360 to X axis WL ANGLX 360.0 NOICE CASE 500 Max. tower weight COMBIN 100 1.200 CASE 520 CARGA: wind at 0 to X axis COMBIN 100 1.200 COMBIN 200 1.000 CASE 540 CARGA: wind at 30 to X axis COMBIN 100 1.200 COMBIN 220 1.000 CASE 560 CARGA: wind at 60 to X axis COMBIN 100 1.200 COMBIN 240 1.000 CASE 580 CARGA: wind at 90 to X axis COMBIN 100 1.200 COMBIN 260 1.000 CASE 600 CARGA: wind at 120 to X axis COMBIN 100 1.200 COMBIN 280 1.000 CASE 620 CARGA: wind at 150 to X axis COMBIN 100 1.200 COMBIN 300 1.000


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CASE 640 CARGA: wind at 180 to X axis COMBIN 100 1.200 COMBIN 320 1.000 CASE 660 CARGA: wind at 210 to X axis COMBIN 100 1.200 COMBIN 340 1.000 CASE 680 CARGA: wind at 240 to X axis COMBIN 100 1.200 COMBIN 360 1.000 CASE 700 CARGA: wind at 270 to X axis COMBIN 100 1.200 COMBIN 380 1.000 CASE 720 CARGA: wind at 300 to X axis COMBIN 100 1.200 COMBIN 400 1.000 CASE 740 CARGA: wind at 330 to X axis COMBIN 100 1.200 COMBIN 420 1.000 CASE 760 CARGA: wind at 360 to X axis COMBIN 100 1.200 COMBIN 440 1.000 END ANCILLARIES LARGE LIBR P:ANC.LIB $ use ANC.LIB if library is in DATA area $ ANTENAS Y MW EXISTENTES MW1 MW2 MW3 MW4 MW5 MW6 MW7 MW8 MW9 MW10 MW11 MW12

XA XA XA XA XA XA XA XA XA XA XA XA

0.32 0.38 -0.20 0.28 0.14 -0.20 -0.24 -0.24 0.22 0.30 0.64 -0.38

YA YA YA YA YA YA YA YA YA YA YA YA

0.43 -0.01 -0.31 -0.23 0.46 -0.29 -0.38 -0.19 0.21 0.28 -0.09 -0.02

ZA ZA ZA ZA ZA ZA ZA ZA ZA ZA ZA ZA

11.50 14.00 14.80 16.00 16.50 17.00 20.00 22.43 22.60 24.80 26.30 29.00

LIB LIB LIB LIB LIB LIB LIB LIB LIB LIB LIB LIB

SH1PR-2 SH1PR-0 SH1PR-0 SH1PR-0 SH1PR-2 SH1PR-0 SH1PR-2 SH1PR-0 SH1PR-0 SH1PR-2 SH1PR-4 SH1PR-2

ANG ANG ANG ANG ANG ANG ANG ANG ANG ANG ANG ANG

-43 -98 -218 -268 -23 -220 -218 -238 -53 -53 -88 -273

$ $ $ $ $ $ $ $ $ $ $ $

D D D D D D D D D D D D

= = = = = = = = = = = =

0.6 M 0.3 M 0.3 M 0.3 M 0.6 M 0.3M 0.6M 0.3M 0.3M 0.6M 1.2M 0.6M

PLATAF1 XA 0 YA 0 ZA 30.50 LIB DELTA ANG -30 FACT 3.22 SECTOR-1A SECTOR-1B SECTOR-1C SECTOR-1D SECTOR-1E SECTOR-1F

XA -1.69 YA -0.18 ZA 31.00 XA -0.59 YA 1.70 ZA 31.00 XA 0.61 YA 1.93 ZA 32.50 XA 1.74 YA -0.24 ZA 32.50 XA 1.05 YA -1.26 ZA 31.00 XA -1.03 YA -1.17 ZA 32.50

MW-1A XA MW-1B XA

0.75 1.25

YA YA

1.25 0.50

LIB LIB LIB LIB LIB LIB

A0142-2 A0142-2 A0142-1 A0142-1 A0142-2 A0142-1

ANG ANG ANG ANG ANG ANG

-23 -108 -103 -328 -328 -58

ZA 30.00 LIB SH1PR-0 ANG -8 ZA 30.50 LIB SH1PR-2 ANG -8

$ $ $ $ $ $

L L L L L L

= = = = = =

1.3M 1.3M 2.6M 2.6M 1.3M 2.6M

$ D = 0.3M $ D = 0.6M


„ MW-1C XA -0.28

YA -2.10

ZA 30.50 LIB SH1PR-4 ANG

7

$ D = 1.2M

PLATAF2 XA 0 YA 0 ZA 21.3 LIB PLATF4 ANG 0 FACT 1.8 MW-2A XA -0.16 MW-2B XA -1.76 MW-2C XA 0

YA -1.19 YA 0.56 YA 1.66

ZA 22.10 LIB SH1PR-2 ANG -188 ZA 21.50 LIB SH1PR-2 ANG -88 ZA 22.00 LIB SH1PR-4 ANG -88

$ D = 0.6M $ D = 0.6M $ D = 1.2M

LINEAR LIBR P:LIN.LIB $ use LIN.LIB if library in DATA area LADDER XB 0 YB -0.35 ZB 0 XT 0 YT -0.20 ZT 30 LIB H-LADDER FACT 1 ANG 0 FDR-GRP1 XB -0.35 FACT 3 ANG -90 FDR-GRP2 XB -0.35 FACT 3 ANG -90 FDR-GRP3 XB -0.35 FACT 3 ANG -90 FDR-GRP4 XB -0.35 FACT 3 ANG -90

YB

0.075

YB

-.025

ZB 0 XT

-0.20 YT

-.025 ZT 30 LIB FDR20

YB

.025

ZB 0 XT

-0.20 YT

0.025 ZT 30 LIB FDR20

YB -0.075

ZB 0 XT

ZB 0 XT

-0.20 YT

0.075

-0.20 YT -0.075

ZT 30 LIB FDR20

ZT 30 LIB FDR20

END END

11.2. VELOCIDAD DE OPERACION La velocidad considerada para el diseño es de 90Kph (25.0 m/s) medidas a 10m con respecto al nivel de terreno y considerando las siguientes hipótesis de carga para la ráfaga del viento: 1.- Velocidad aplicada con azimuth de 0º. 2.- Velocidad aplicada con azimuth de 30º. 3.- Velocidad aplicada con azimuth de 60º. 4.- Velocidad aplicada con azimuth de 90º. 5.- Velocidad aplicada con azimuth de 120º. 6.- Velocidad aplicada con azimuth de 150º. 7.- Velocidad aplicada con azimuth de 180º. 8.- Velocidad aplicada con azimuth de 210º. 9.- Velocidad aplicada con azimuth de 240º. 10.‐ Velocidad aplicada con azimuth de 270º. 11.‐ Velocidad aplicada con azimuth de 300º. 12.‐ Velocidad aplicada con azimuth de 330º. 13.‐ Velocidad aplicada con azimuth de 360º. PARAMETERS ANGN 0.0 $ Angle Anti-clockwise from X axis to North CODE EIA222 $ WIND PROFILE TO THIS CODE ICE RO 0.0 RW 0.0 $ For icing ALTOP 0 $ SITE + TOWER HEIGHT for icing PSF-V 1.200 $ Partial safety factor for wind speed, BS8100 PSF-M 1.20 $ Partial safety factor for Material strength, BS8100 VB 25.00 $ ENTER SITE WINDSPEED HERE MEAN HOURLY, GUST or FASTEST MILE, adjusted for height OVERLAP 1 $ Allow for the overlap of members


„ END LOADS CASE 100 DL $ TODO CASE 200 WL ANGLX

Weight of tower plus ancillaries any additional NDLDs go here wind at 0 to X axis 0.0 NOICE

CASE 220 wind at 30 to X axis WL ANGLX 30.0 NOICE CASE 240 wind at 60 to X axis WL ANGLX 60.0 NOICE CASE 260 wind at 90 to X axis WL ANGLX 90.0 NOICE CASE 280 wind at 120 to X axis WL ANGLX 120.0 NOICE CASE 300 wind at 150 to X axis WL ANGLX 150.0 NOICE CASE 320 wind at 180 to X axis WL ANGLX 180.0 NOICE CASE 340 wind at 210 to X axis WL ANGLX 210.0 NOICE CASE 360 wind at 240 to X axis WL ANGLX 240.0 NOICE CASE 380 wind at 270 to X axis WL ANGLX 270.0 NOICE CASE 400 wind at 300 to X axis WL ANGLX 300.0 NOICE CASE 420 wind at 330 to X axis WL ANGLX 330.0 NOICE CASE 440 wind at 360 to X axis WL ANGLX 360.0 NOICE CASE 500 Max. tower weight COMBIN 100 1.200 CASE 520 CARGA: wind at 0 to X axis COMBIN 100 1.200 COMBIN 200 1.000 CASE 540 CARGA: wind at 30 to X axis COMBIN 100 1.200 COMBIN 220 1.000 CASE 560 CARGA: wind at 60 to X axis COMBIN 100 1.200 COMBIN 240 1.000


„

CASE 580 CARGA: wind at 90 to X axis COMBIN 100 1.200 COMBIN 260 1.000 CASE 600 CARGA: wind at 120 to X axis COMBIN 100 1.200 COMBIN 280 1.000 CASE 620 CARGA: wind at 150 to X axis COMBIN 100 1.200 COMBIN 300 1.000 CASE 640 CARGA: wind at 180 to X axis COMBIN 100 1.200 COMBIN 320 1.000 CASE 660 CARGA: wind at 210 to X axis COMBIN 100 1.200 COMBIN 340 1.000 CASE 680 CARGA: wind at 240 to X axis COMBIN 100 1.200 COMBIN 360 1.000 CASE 700 CARGA: wind at 270 to X axis COMBIN 100 1.200 COMBIN 380 1.000 CASE 720 CARGA: wind at 300 to X axis COMBIN 100 1.200 COMBIN 400 1.000 CASE 740 CARGA: wind at 330 to X axis COMBIN 100 1.200 COMBIN 420 1.000 CASE 760 CARGA: wind at 360 to X axis COMBIN 100 1.200 COMBIN 440 1.000 END ANCILLARIES LARGE LIBR P:ANC.LIB $ use ANC.LIB if library is in DATA area $ ANTENAS Y MW EXISTENTES MW1 MW2 MW3 MW4 MW5 MW6 MW7 MW8 MW9 MW10

XA XA XA XA XA XA XA XA XA XA

0.32 0.38 -0.20 0.28 0.14 -0.20 -0.24 -0.24 0.22 0.30

YA YA YA YA YA YA YA YA YA YA

0.43 -0.01 -0.31 -0.23 0.46 -0.29 -0.38 -0.19 0.21 0.28

ZA ZA ZA ZA ZA ZA ZA ZA ZA ZA

11.50 14.00 14.80 16.00 16.50 17.00 20.00 22.43 22.60 24.80

LIB LIB LIB LIB LIB LIB LIB LIB LIB LIB

SH1PR-2 SH1PR-0 SH1PR-0 SH1PR-0 SH1PR-2 SH1PR-0 SH1PR-2 SH1PR-0 SH1PR-0 SH1PR-2

ANG ANG ANG ANG ANG ANG ANG ANG ANG ANG

-43 -98 -218 -268 -23 -220 -218 -238 -53 -53

$ $ $ $ $ $ $ $ $ $

D D D D D D D D D D

= = = = = = = = = =

0.6 M 0.3 M 0.3 M 0.3 M 0.6 M 0.3M 0.6M 0.3M 0.3M 0.6M


„

MW11 XA 0.64 MW12 XA -0.38

YA -0.09 YA -0.02

ZA 26.30 LIB SH1PR-4 ANG -88 $ D = 1.2M ZA 29.00 LIB SH1PR-2 ANG -273 $ D = 0.6M

PLATAF1 XA 0 YA 0 ZA 30.50 LIB DELTA ANG -30 FACT 3.22 SECTOR-1A SECTOR-1B SECTOR-1C SECTOR-1D SECTOR-1E SECTOR-1F

XA -1.69 YA -0.18 ZA 31.00 XA -0.59 YA 1.70 ZA 31.00 XA 0.61 YA 1.93 ZA 32.50 XA 1.74 YA -0.24 ZA 32.50 XA 1.05 YA -1.26 ZA 31.00 XA -1.03 YA -1.17 ZA 32.50

MW-1A XA 0.75 MW-1B XA 1.25 MW-1C XA -0.28

YA 1.25 YA 0.50 YA -2.10

LIB LIB LIB LIB LIB LIB

A0142-2 A0142-2 A0142-1 A0142-1 A0142-2 A0142-1

ANG ANG ANG ANG ANG ANG

-23 -108 -103 -328 -328 -58

ZA 30.00 LIB SH1PR-0 ANG -8 ZA 30.50 LIB SH1PR-2 ANG -8 ZA 30.50 LIB SH1PR-4 ANG 7

$ $ $ $ $ $

L L L L L L

= = = = = =

1.3M 1.3M 2.6M 2.6M 1.3M 2.6M

$ D = 0.3M $ D = 0.6M $ D = 1.2M

PLATAF2 XA 0 YA 0 ZA 21.3 LIB PLATF4 ANG 0 FACT 1.8 MW-2A XA -0.16 MW-2B XA -1.76 MW-2C XA 0

YA -1.19 YA 0.56 YA 1.66

ZA 22.10 LIB SH1PR-2 ANG -188 ZA 21.50 LIB SH1PR-2 ANG -88 ZA 22.00 LIB SH1PR-4 ANG -88

$ D = 0.6M $ D = 0.6M $ D = 1.2M

LINEAR LIBR P:LIN.LIB $ use LIN.LIB if library in DATA area LADDER XB 0 YB -0.35 ZB 0 XT 0 YT -0.20 ZT 30 LIB H-LADDER FACT 1 ANG 0 FDR-GRP1 XB -0.35 FACT 3 ANG -90 FDR-GRP2 XB -0.35 FACT 3 ANG -90 FDR-GRP3 XB -0.35 FACT 3 ANG -90 FDR-GRP4 XB -0.35 FACT 3 ANG -90

YB

0.075

YB

-.025

ZB 0 XT

-0.20 YT

-.025 ZT 30 LIB FDR20

YB

.025

ZB 0 XT

-0.20 YT

0.025 ZT 30 LIB FDR20

YB -0.075

ZB 0 XT

ZB 0 XT

-0.20 YT

0.075

-0.20 YT -0.075

ZT 30 LIB FDR20

ZT 30 LIB FDR20

END END


„

12. RESULTADOS DE LA MODELACION Y VERIFICACION DE ELEMENTOS EXISTENTES PARA UNA VELOCIDAD DE SUPERVIVENCIA DE 120KMH / REACCIONES EN LA BASE

MSTOWER V6 Member checking to EIA-222-F (090414 Job: MONOPOLO-30M-120KPH Date: 14-FEB-12 23:06:14 MONOPOLO 30.00M VERIFICACION A 120 KPH -- L O A D Case Y/N 100 N 200 N 220 N 240 N 260 N 280 N 300 N 320 N 340 N 360 N 380 N 400 N 420 N 440 N 500 Y 520 Y 540 Y 560 Y 580 Y 600 Y 620 Y 640 Y 660 Y

C A S E S -Title WEIGHT OF TOWER PLUS ANCILLARIES WIND AT 0 TO X AXIS WIND AT 30 TO X AXIS WIND AT 60 TO X AXIS WIND AT 90 TO X AXIS WIND AT 120 TO X AXIS WIND AT 150 TO X AXIS WIND AT 180 TO X AXIS WIND AT 210 TO X AXIS WIND AT 240 TO X AXIS WIND AT 270 TO X AXIS WIND AT 300 TO X AXIS WIND AT 330 TO X AXIS WIND AT 360 TO X AXIS MAX. TOWER WEIGHT CARGA: WIND AT 0 TO X AXIS CARGA: WIND AT 30 TO X AXIS CARGA: WIND AT 60 TO X AXIS CARGA: WIND AT 90 TO X AXIS CARGA: WIND AT 120 TO X AXIS CARGA: WIND AT 150 TO X AXIS CARGA: WIND AT 180 TO X AXIS CARGA: WIND AT 210 TO X AXIS


„ 680 700 720 740 760

Y Y Y Y Y

CARGA: CARGA: CARGA: CARGA: CARGA:

WIND WIND WIND WIND WIND

AT AT AT AT AT

240 270 300 330 360

TO TO TO TO TO

X X X X X

AXIS AXIS AXIS AXIS AXIS

Y = Cases to be checked N = Not Used Report Units: Dims., lengths, areas ... mm, mm2 Forces ..................... kN Moments, Torques ........... kNm Stresses ..............N/mm2 (MPa) Cantilevered pole Computed capacities assume pole is predominantly subject to bending. Allowable stresses to EIA-222-F. Overstress factor for WL: 1.330 Symbols: fy = yield stress P = Axial force in member, c=compression M = Moment, x=about X axis, y=about Y axis, r=resultant f = Axial stress in member F = Allowable stress, a=axial, b=bending, t=torsion, 0=not considered * = Stress ratio, f/F > 1.0 NB: The design approach of EIA-222-F is based on working stress methods. Shaft Members - Cross-section: 12 sided polygon Memb Ht D Fb Ft ratio 1 32.89 100.0 199.5 0 0.000 101 32.78 100.0 199.5 0 0.001 201 32.68 100.0 199.5 0 0.003 301 32.57 100.0 199.5 0 0.005 401 32.46 100.0 199.5 0 0.008 501 32.36 100.0 199.5 0 0.106 601 32.25 100.0 199.5 0 0.161 701 32.14 100.0 199.5 0 0.216 801 32.03 100.0 199.5 0 0.273 901 31.93 100.0 199.5 0 0.329 1001 31.82 100.0 199.5 0 0.386 1101 31.71 100.0 199.5 0 0.444 1201 31.61 100.0 199.5 0 0.503 1301 31.50 100.0 199.5 0 0.562 1401 31.39 100.0 199.5 0 0.622 1501 31.29 100.0 199.5 0 0.682 1601 31.18 100.0 199.5 0 0.743 1701 31.07 100.0 199.5 0 0.805 1801 30.96 100.0 199.5 0 0.867 1901 30.86 100.0 199.5 0 0.930

t

fy

LC

P

Mx

My

Mr

T

fa

fb

Fa

2.5

250.0

760

0

0

0

0

0

0.0

0.1

199.5

2.5

250.0

760

0

0

0

0

0

0.0

0.3

199.5

2.5

250.0

760

0

0

0

0

0

0.0

0.6

199.5

2.5

250.0

760

0

0

0

0

0

0.0

1.0

199.5

2.5

250.0

540

0

0

0

0

0

0.0

1.6

199.5

2.5

250.0

660

0

0

0

0

0

0.0

21.2

199.5

2.5

250.0

660

0

0

1

1

0

0.0

32.1

199.5

2.5

250.0

660

0

0

1

1

0

0.1

43.1

199.5

2.5

250.0

660

0

1

1

1

0

0.1

54.3

199.5

2.5

250.0

660

0

1

1

1

0

0.1

65.6

199.5

2.5

250.0

660

0

1

1

1

0

0.1

77.0

199.5

2.5

250.0

660

0

1

1

2

0

0.1

88.6

199.5

2.5

250.0

660

0

1

2

2

0

0.1

100.2

199.5

2.5

250.0

660

0

1

2

2

0

0.1

112.0

199.5

2.5

250.0

660

0

1

2

2

0

0.1

123.9

199.5

2.5

250.0

660

0

1

2

3

0

0.1

135.9

199.5

2.5

250.0

660

0

1

2

3

0

0.1

148.1

199.5

2.5

250.0

660

0

1

3

3

0

0.1

160.4

199.5

2.5

250.0

660

0

2

3

3

0

0.2

172.8

199.5

2.5

250.0

660

0

2

3

3

0

0.2

185.3

199.5


„ 2001 199.5 2101 199.5 2201 199.5 2301 199.5 2401 199.5 2501 199.5 2601 199.5 2701 199.5 2801 199.5 2901 199.5 3001 199.5 3101 199.5 3201 199.5 3301 199.5 3401 199.5 3501 199.5 3601 199.5 3701 199.5 3801 199.5 3901 199.5 4001 199.5 4101 199.5 4201 199.5 4301 199.5 4401 199.5 4501 199.5 4601 199.5 4701 199.5 4801 199.5 4901 199.5 5001 199.5 5101 199.5 5201 199.5 5301 199.5 5401 199.5 5501 199.5 5601 199.5

30.75 266.7 0 0.061 30.64 266.7 0 0.067 30.54 266.7 0 0.074 30.43 266.7 0 0.115 30.32 266.7 0 0.130 30.21 266.7 0 0.146 30.11 266.7 0 0.162 30.00 266.7 0 0.178 29.80 266.7 0 0.207 29.60 266.7 0 0.241 29.40 266.7 0 0.276 29.20 266.7 0 0.311 29.00 266.7 0 0.347 28.80 266.7 0 0.386 28.60 266.7 0 0.423 28.40 266.7 0 0.461 28.20 266.7 0 0.499 28.00 266.7 0 0.538 27.80 266.7 0 0.577 27.60 266.7 0 0.617 27.40 266.7 0 0.657 27.20 266.7 0 0.698 27.00 266.7 0 0.738 26.80 266.7 0 0.779 26.60 266.7 0 0.821 26.40 266.7 0 0.863 26.20 266.7 0 0.905 26.00 266.7 0 0.944 25.80 266.7 0 0.990 25.60 266.7 0 1.036 * 25.40 266.7 0 1.083 * 25.20 266.7 0 1.130 * 25.00 266.7 0 1.177 * 24.80 266.7 0 1.224 * 24.60 266.7 0 1.272 * 24.40 266.7 0 1.322 * 24.20 266.7 0 1.371 *

6.3

250.0

700

0

4

0

4

0

0.0

12.1

199.5

6.3

250.0

700

0

4

0

4

0

0.0

13.3

199.5

6.3

250.0

700

0

5

0

5

0

0.1

14.6

199.5

6.3

250.0

580

3

7

0

7

1

0.7

22.2

199.5

6.3

250.0

580

4

8

0

8

1

0.7

25.4

199.5

6.3

250.0

580

4

10

0

10

1

0.7

28.5

199.5

6.3

250.0

580

4

11

0

11

1

0.7

31.7

199.5

6.3

250.0

580

4

12

0

12

1

0.7

34.9

199.5

6.3

250.0

600

4

12

7

14

3

0.7

40.6

199.5

6.3

250.0

540

4

8

14

16

4

0.7

47.3

199.5

6.3

250.0

540

4

9

16

18

4

0.8

54.2

199.5

6.3

250.0

540

4

10

18

20

4

0.8

61.3

199.5

6.3

250.0

540

4

11

20

23

4

0.8

68.4

199.5

6.3

250.0

540

5

12

22

25

4

0.9

76.0

199.5

6.3

250.0

540

5

13

25

28

4

1.0

83.5

199.5

6.3

250.0

540

5

14

27

30

4

1.0

91.0

199.5

6.3

250.0

540

5

15

29

33

4

1.0

98.6

199.5

6.3

250.0

540

6

16

31

36

4

1.1

106.2

199.5

6.3

250.0

760

6

1

38

38

4

1.1

114.0

199.5

6.3

250.0

760

6

1

41

41

4

1.1

121.9

199.5

6.3

250.0

760

6

1

43

43

4

1.2

129.9

199.5

6.3

250.0

760

7

1

46

46

4

1.2

137.9

199.5

6.3

250.0

760

7

1

49

49

4

1.3

146.0

199.5

6.3

250.0

760

7

1

52

52

4

1.3

154.2

199.5

6.3

250.0

760

7

1

54

54

5

1.3

162.4

199.5

6.3

250.0

760

7

1

57

57

5

1.4

170.7

199.5

6.3

250.0

760

8

1

60

60

5

1.4

179.0

199.5

6.3

250.0

760

9

1

62

62

5

1.6

186.7

199.5

6.3

250.0

760

9

1

65

65

5

1.7

195.9

199.5

6.3

250.0

760

9

1

69

69

5

1.7

205.1

199.5

6.3

250.0

760

9

1

72

72

5

1.7

214.3

199.5

6.3

250.0

760

9

1

75

75

5

1.8

223.6

199.5

6.3

250.0

760

10

1

78

78

5

1.8

233.0

199.5

6.3

250.0

760

10

1

81

81

5

1.9

242.4

199.5

6.3

250.0

760

10

1

84

84

5

1.9

251.9

199.5

6.3

250.0

760

11

1

87

87

5

2.0

261.7

199.5

6.3

250.0

760

11

1

91

91

5

2.0

271.5

199.5


„ 5701 199.5 5801 199.5 5901 199.5 6001 199.5 6101 199.5 6201 199.5 6301 199.5 6401 199.5 6501 199.5 6601 199.5 6701 199.5 6801 199.5 6901 199.5 7001 199.5 7101 199.5 7201 199.5 7301 199.5 7401 199.5 7501 199.5 7601 199.5 7701 199.5 7801 199.5 7901 199.5 8001 199.5 8101 199.5 8201 199.5 8301 199.5 8401 199.5 8501 199.5 8601 199.5 8701 199.5 8801 199.5 8901 199.5 9001 199.5 9101 199.5 9201 199.5 9301 199.5

24.00 266.7 0 1.421 * 23.70 371.5 0 0.614 23.40 371.5 0 0.646 23.10 371.5 0 0.678 22.80 371.5 0 0.710 22.50 371.5 0 0.743 22.20 371.5 0 0.776 21.90 371.5 0 0.811 21.60 371.5 0 0.845 21.30 371.5 0 0.885 21.00 371.5 0 0.929 20.70 371.5 0 0.973 20.40 371.5 0 1.017 * 20.10 371.5 0 1.062 * 19.80 371.5 0 1.108 * 19.50 371.5 0 1.154 * 19.20 371.5 0 1.200 * 18.90 371.5 0 1.247 * 18.60 371.5 0 1.293 * 18.30 371.5 0 1.340 * 18.00 371.5 0 1.388 * 17.60 476.2 0 0.735 17.20 476.2 0 0.767 16.80 476.2 0 0.800 16.40 476.2 0 0.833 16.00 476.2 0 0.868 15.60 476.2 0 0.902 15.20 476.2 0 0.937 14.80 476.2 0 0.972 14.40 476.2 0 1.008 * 14.00 476.2 0 1.043 * 13.60 476.2 0 1.079 * 13.20 476.2 0 1.116 * 12.80 476.2 0 1.152 * 12.40 476.2 0 1.189 * 12.00 476.2 0 1.226 * 11.50 628.1 0 0.723

6.3

250.0

540

11

45

82

94

5

2.1

281.4

199.5

7.9

250.0

540

11

48

87

99

5

1.2

121.3

199.5

7.9

250.0

540

12

51

91

104

5

1.3

127.6

199.5

7.9

250.0

540

12

53

95

109

5

1.3

133.9

199.5

7.9

250.0

540

13

56

100

115

5

1.4

140.3

199.5

7.9

250.0

540

13

59

104

120

5

1.4

146.8

199.5

7.9

250.0

540

14

62

109

125

5

1.5

153.3

199.5

7.9

250.0

540

14

65

114

131

6

1.5

160.3

199.5

7.9

250.0

540

15

67

119

136

5

1.7

166.9

199.5

7.9

250.0

540

16

70

124

143

4

1.7

174.8

199.5

7.9

250.0

540

18

74

130

150

4

2.0

183.4

199.5

7.9

250.0

540

19

78

136

157

4

2.0

192.1

199.5

7.9

250.0

540

19

82

142

164

4

2.1

200.9

199.5

7.9

250.0

540

20

86

148

171

4

2.1

209.7

199.5

7.9

250.0

540

20

91

154

179

4

2.2

218.8

199.5

7.9

250.0

540

21

95

160

186

4

2.2

228.0

199.5

7.9

250.0

540

21

99

167

194

4

2.3

237.1

199.5

7.9

250.0

540

22

103

173

201

4

2.3

246.3

199.5

7.9

250.0

540

22

107

179

209

4

2.4

255.6

199.5

7.9

250.0

540

23

112

185

216

4

2.4

264.9

199.5

7.9

250.0

540

23

116

192

224

4

2.5

274.3

199.5

9.5

250.0

540

24

122

200

234

4

1.7

144.9

199.5

9.5

250.0

540

24

127

209

245

4

1.7

151.4

199.5

9.5

250.0

540

25

133

218

255

4

1.8

157.9

199.5

9.5

250.0

540

26

139

227

266

4

1.8

164.4

199.5

9.5

250.0

540

27

145

236

277

4

1.9

171.2

199.5

9.5

250.0

540

28

151

245

288

4

2.0

178.0

199.5

9.5

250.0

540

29

157

254

299

4

2.0

184.9

199.5

9.5

250.0

540

30

164

264

310

4

2.1

191.9

199.5

9.5

250.0

540

30

170

273

322

4

2.1

198.9

199.5

9.5

250.0

540

31

176

283

333

4

2.2

206.0

199.5

9.5

250.0

540

32

183

292

345

4

2.2

213.1

199.5

9.5

250.0

540

33

189

302

356

4

2.3

220.3

199.5

9.5

250.0

540

34

195

312

368

4

2.4

227.5

199.5

9.5

250.0

540

34

202

322

380

4

2.4

234.8

199.5

9.5

250.0

540

35

208

331

392

4

2.5

242.2

199.5

9.5

250.0

540

36

217

344

407

4

1.9

142.4

199.5


„ 9401 199.5 9501 199.5 9601 199.5 9701 199.5 9801 199.5 9901 199.5 10001 199.5 10101 199.5 10201 199.5 10301 199.5 10401 199.5 10501 199.5 10601 199.5 10701 199.5 10801 199.5 10901 199.5 11001 199.5 11101 199.5 11201 199.5 11301 199.5 11401 199.5 * Mass Sect 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

11.00 628.1 9.5 0 0.751 10.50 628.1 9.5 0 0.778 10.00 628.1 9.5 0 0.806 9.50 628.1 9.5 0 0.835 9.00 628.1 9.5 0 0.863 8.50 628.1 9.5 0 0.892 8.00 628.1 9.5 0 0.922 7.50 628.1 9.5 0 0.951 7.00 628.1 9.5 0 0.981 6.50 628.1 9.5 0 1.012 * 6.00 628.1 9.5 0 1.042 * 5.40 639.9 12.7 0 0.791 4.80 639.9 12.7 0 0.819 4.20 639.9 12.7 0 0.847 3.60 639.9 12.7 0 0.875 3.00 639.9 12.7 0 0.904 2.40 639.9 12.7 0 0.932 1.80 639.9 12.7 0 0.962 1.20 639.9 12.7 0 0.991 0.60 639.9 12.7 0 1.021 * 0.00 639.9 12.7 0 1.051 * fails code check.

Summary Size PG1.100X0 PG2.100X0 PG3.100X0 PG4.100X0 PG5.100X0 PG6.100X0 PG7.100X0 PG8.100X0 PG9.100X0 PG10.100X0 PG11.100X0 PG12.100X0 PG13.100X0 PG14.100X0 PG15.100X0 PG16.100X0 PG17.100X0 PG18.100X0 PG19.100X0 PG20.100X0 PG21.100X0 PG22.100X0 PG23.100X0 PG24.100X0 PG25.100X0 PG26.100X0 PG27.100X0 PG28.100X0 PG29.266X1

Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y

fy 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250

250.0

540

38

225

357

422

4

2.0

147.8

199.5

250.0

540

39

234

370

437

4

2.0

153.2

199.5

250.0

540

40

242

383

453

4

2.1

158.8

199.5

250.0

540

41

251

396

469

4

2.2

164.4

199.5

250.0

540

42

260

410

485

4

2.2

170.0

199.5

250.0

540

43

269

424

502

4

2.3

175.7

199.5

250.0

540

45

278

437

518

4

2.4

181.5

199.5

250.0

540

46

287

451

535

4

2.4

187.3

199.5

250.0

560

47

470

288

552

2

2.5

193.3

199.5

250.0

560

48

485

297

569

2

2.5

199.3

199.5

250.0

560

49

500

306

586

2

2.6

205.3

199.5

250.0

560

51

518

317

607

2

2.0

155.9

199.5

250.0

560

53

536

328

628

2

2.1

161.3

199.5

250.0

560

54

554

339

650

2

2.1

166.8

199.5

250.0

560

56

573

350

671

2

2.2

172.4

199.5

250.0

560

58

592

361

693

2

2.3

178.0

199.5

250.0

560

60

611

372

715

2

2.3

183.7

199.5

250.0

560

62

630

384

738

2

2.4

189.4

199.5

250.0

560

63

649

395

760

2

2.5

195.2

199.5

250.0

560

65

669

407

783

2

2.5

201.1

199.5

250.0

560

67

689

419

806

2

2.6

207.0

199.5

L (m) 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.20

M (kg) 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66 4.47 4.47 4.47 4.47 4.47 4.47 4.47 4.47 8.35


„ 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104

PG30.266X1 PG31.266X1 PG32.266X1 PG33.266X1 PG34.266X1 PG35.266X1 PG36.266X1 PG37.266X1 PG38.266X1 PG39.266X1 PG40.266X1 PG41.266X1 PG42.266X1 PG43.266X1 PG44.266X1 PG45.266X1 PG46.266X1 PG47.266X1 PG48.266X1 PG49.266X1 PG50.266X1 PG51.266X1 PG52.266X1 PG53.266X1 PG54.266X1 PG55.266X1 PG56.266X1 PG57.266X1 PG58.266X1 PG59.371X2 PG60.371X2 PG61.371X2 PG62.371X2 PG63.371X2 PG64.371X2 PG65.371X2 PG66.371X2 PG67.371X2 PG68.371X2 PG69.371X2 PG70.371X2 PG71.371X2 PG72.371X2 PG73.371X2 PG74.371X2 PG75.371X2 PG76.371X2 PG77.371X2 PG78.371X2 PG79.476X3 PG80.476X3 PG81.476X3 PG82.476X3 PG83.476X3 PG84.476X3 PG85.476X3 PG86.476X3 PG87.476X3 PG88.476X3 PG89.476X3 PG90.476X3 PG91.476X3 PG92.476X3 PG93.476X3 PG94.628X4 PG95.628X4 PG96.628X4 PG97.628X4 PG98.628X4 PG99.628X4 PG100.628X4 PG101.628X4 PG102.628X4 PG103.628X4 PG104.628X4

Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y

250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250

0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.30 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.40 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50

8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 8.35 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 21.85 44.88 44.88 44.88 44.88 44.88 44.88 44.88 44.88 44.88 44.88 44.88 44.88 44.88 44.88 44.88 74.36 74.36 74.36 74.36 74.36 74.36 74.36 74.36 74.36 74.36 74.36


„ 105 106 107 108 109 110 111 112 113 114 115 116

PG105.628X4 PG106.640X5 PG107.640X5 PG108.640X5 PG109.640X5 PG110.640X5 PG111.640X5 PG112.640X5 PG113.640X5 PG114.640X5 PG115.640X5 DUMMY

Y Y Y Y Y Y Y Y Y Y Y Y

250 250 250 250 250 250 250 250 250 250 250 250

0.50 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 62.50

74.36 120.63 120.63 120.63 120.63 120.63 120.63 120.63 120.63 120.63 120.63 6.16 -------3514.35

Mstower V6 Reactions (060619) MONOPOLO 30.00M VERIFICACION A 120 KPH

-- L O A D Case Y/N 100 N 200 N 220 N 240 N 260 N 280 N 300 N 320 N 340 N 360 N 380 N 400 N 420 N 440 N 500 Y 520 Y 540 Y 560 Y 580 Y 600 Y 620 Y 640 Y 660 Y 680 Y 700 Y 720 Y 740 Y 760 Y

C A S E S -Title WEIGHT OF TOWER PLUS ANCILLARIES WIND AT 0 TO X AXIS WIND AT 30 TO X AXIS WIND AT 60 TO X AXIS WIND AT 90 TO X AXIS WIND AT 120 TO X AXIS WIND AT 150 TO X AXIS WIND AT 180 TO X AXIS WIND AT 210 TO X AXIS WIND AT 240 TO X AXIS WIND AT 270 TO X AXIS WIND AT 300 TO X AXIS WIND AT 330 TO X AXIS WIND AT 360 TO X AXIS MAX. TOWER WEIGHT CARGA: WIND AT 0 TO X AXIS CARGA: WIND AT 30 TO X AXIS CARGA: WIND AT 60 TO X AXIS CARGA: WIND AT 90 TO X AXIS CARGA: WIND AT 120 TO X AXIS CARGA: WIND AT 150 TO X AXIS CARGA: WIND AT 180 TO X AXIS CARGA: WIND AT 210 TO X AXIS CARGA: WIND AT 240 TO X AXIS CARGA: WIND AT 270 TO X AXIS CARGA: WIND AT 300 TO X AXIS CARGA: WIND AT 330 TO X AXIS CARGA: WIND AT 360 TO X AXIS

Y = Cases to be checked N = Not Used Centroid of supports:

0.000

0.000

0.000

SUPPORT REACTIONS (Applied to tower) Case Node FX FY FZ 500 11402 0.000 0.000 67.781 Resultant 0.000 0.000 67.781

MX -1.567 -1.567

MY 5.519 5.519

MZ 0.000 0.000 at centroid

520 11402 Resultant

37.131 37.131

0.534 0.534

67.749 67.749

-9.861 -9.861

785.374 785.374

2.927 2.927 at centroid

540 11402 Resultant

32.008 32.008

20.523 20.523

67.747 67.747

-432.281 -432.281

677.527 677.527


560 11402 Resultant

19.512 19.512

33.064 33.064

67.747 67.747

-688.744 -688.744

418.736 418.736


580 11402 Resultant

0.742 0.742

38.048 38.048

67.748 67.748

-796.997 -796.997

15.849 15.849

-0.659 -0.659 at centroid


„ 600 11402 Resultant

-17.908 -17.908

32.865 32.865

67.749 67.749

-688.443 -688.443

-372.343 -372.343


620 11402 Resultant

-30.978 -30.978

19.217 19.217

67.751 67.751

-407.615 -407.615

-638.738 -638.738


640 11402 Resultant

-36.477 -36.477

-1.145 -1.145

67.751 67.751

22.144 22.144

-754.578 -754.578


660 11402 Resultant

-31.466 -31.466

-19.495 -19.495

67.750 67.750

404.596 404.596

-649.947 -649.947


680 11402 Resultant

-18.840 -18.840

-32.197 -32.197

67.749 67.749

667.654 667.654

-389.348 -389.348


700 11402 Resultant

-0.844 -0.844

-36.955 -36.955

67.750 67.750

767.827 767.827

-10.484 -10.484


720 11402 Resultant

18.271 18.271

-31.936 -31.936

67.750 67.750

662.303 662.303

396.450 396.450


740 11402 Resultant

31.808 31.808

-18.678 -18.678

67.749 67.749

393.651 393.651

674.250 674.250


760 11402 Resultant

37.131 37.131

0.534 0.534

67.749 67.749

-9.861 -9.861

785.374 785.374


SUPPORT REACTIONS (Along Leg) Case Memb Fx Fy 500 11401 -67.781 0.000

Fz 0.000

Mx 0.000

My -1.567

Mz -5.519

520 11401

-67.749

37.131

-0.534

-2.927

-9.861

-785.374

540 11401

-67.747

32.008

-20.523

-3.570

-432.281

-677.527

560 11401

-67.747

19.512

-33.064

-2.451

-688.744

-418.736

580 11401

-67.748

0.742

-38.048

0.659

-796.997

-15.849

600 11401

-67.749

-17.908

-32.865

2.164

-688.443

372.343

620 11401

-67.751

-30.978

-19.217

2.554

-407.615

638.738

640 11401

-67.751

-36.477

1.145

2.147

22.144

754.578

660 11401

-67.750

-31.466

19.495

2.605

404.596

649.947

680 11401

-67.749

-18.840

32.197

2.037

667.654

389.348

700 11401

-67.750

-0.844

36.955

-0.304

767.827

10.484

720 11401

-67.750

18.271

31.936

-3.301

662.303

-396.450

740 11401

-67.749

31.808

18.678

-3.295

393.651

-674.250

760 11401

-67.749

37.131

-0.534

-2.927

-9.861

-785.374


„

13. DEFORMACIONES DE LA ESTRUCTURA EXISTENTE PARA UNA VELOCIDAD OPERACIONAL DE 90KMH.

-- I N P U T / A N A L Y S I S Job:

MONOPOLO-30M-90KPH

Title:

MONOPOLO 30.00M VERIFICACION A 90 KPH Space frame 14-FEB-12 23:35:52

Type: Date: Time:

R E P O R T --

Nodes ............................. Members ........................... Spring supports ................... Sections .......................... Materials ......................... Primary load cases ................ Combination load cases ............

464 463 0 116 1 14 14

Analysis: Non-linear elastic Update node coordinates ........... Y Small displacement theory ......... Y Include axial force effects ....... Y Include flexural shortening ....... N Convergence criterion: Residual Convergence tolerance ......... 5.000E-04 NODE TABLE NOT PRINTED MEMBER TABLE NOT PRINTED SECTION PROPERTY TABLE NOT PRINTED


„

MATERIAL TABLE NOT PRINTED

-- N O D E CASE Node 1 2 3 4 5 102 103 104 105 202 203 204 205 302 303 304 305 402 403 404 405 502 503 504 505 602 603 604 605 702 703 704 705 802 803 804 805 902 903 904 905 1002 1003 1004 1005 1102 1103 1104 1105

D I S P L A C E M E N T S --

760: CARGA: WIND AT 360 TO X AXIS X-Disp m -1.0417 -1.0341 -1.0417 -1.0417 -1.0418 -1.0264 -1.0341 -1.0340 -1.0341 -1.0187 -1.0264 -1.0263 -1.0264 -1.0110 -1.0187 -1.0187 -1.0188 -1.0034 -1.0110 -1.0110 -1.0111 -0.9957 -1.0034 -1.0033 -1.0034 -0.9880 -0.9957 -0.9956 -0.9957 -0.9804 -0.9880 -0.9880 -0.9881 -0.9727 -0.9804 -0.9803 -0.9804 -0.9651 -0.9727 -0.9726 -0.9728 -0.9575 -0.9651 -0.9650 -0.9652 -0.9500 -0.9575 -0.9574 -0.9576

Y-Disp m -0.0154 -0.0152 -0.0154 -0.0153 -0.0153 -0.0151 -0.0153 -0.0152 -0.0152 -0.0149 -0.0151 -0.0150 -0.0150 -0.0148 -0.0150 -0.0149 -0.0149 -0.0147 -0.0149 -0.0148 -0.0148 -0.0145 -0.0147 -0.0146 -0.0146 -0.0144 -0.0146 -0.0145 -0.0145 -0.0143 -0.0145 -0.0144 -0.0144 -0.0141 -0.0143 -0.0142 -0.0142 -0.0140 -0.0142 -0.0141 -0.0141 -0.0138 -0.0141 -0.0139 -0.0139 -0.0137 -0.0139 -0.0138 -0.0138

Z-Disp m -0.0246 -0.0244 -0.0211 -0.0264 -0.0265 -0.0241 -0.0208 -0.0261 -0.0262 -0.0238 -0.0205 -0.0258 -0.0259 -0.0235 -0.0202 -0.0255 -0.0257 -0.0233 -0.0200 -0.0253 -0.0254 -0.0230 -0.0197 -0.0250 -0.0251 -0.0227 -0.0194 -0.0247 -0.0248 -0.0224 -0.0191 -0.0244 -0.0246 -0.0222 -0.0189 -0.0242 -0.0243 -0.0219 -0.0186 -0.0239 -0.0240 -0.0216 -0.0183 -0.0236 -0.0237 -0.0214 -0.0181 -0.0233 -0.0235

X-Rotn rad 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00135 0.00137 0.00135 0.00135 0.00135 0.00139 0.00137 0.00137 0.00137 0.00142 0.00139 0.00139 0.00139 0.00144 0.00142 0.00142 0.00142 0.00146 0.00144 0.00144 0.00144 0.00148 0.00146 0.00146 0.00146 0.00150 0.00148 0.00148 0.00148

Y-Rotn rad -0.07168 -0.07168 -0.07168 -0.07168 -0.07168 -0.07168 -0.07168 -0.07168 -0.07168 -0.07167 -0.07168 -0.07168 -0.07168 -0.07167 -0.07167 -0.07167 -0.07167 -0.07166 -0.07167 -0.07167 -0.07167 -0.07165 -0.07166 -0.07166 -0.07166 -0.07158 -0.07165 -0.07165 -0.07165 -0.07145 -0.07158 -0.07158 -0.07158 -0.07126 -0.07145 -0.07145 -0.07145 -0.07099 -0.07126 -0.07126 -0.07126 -0.07067 -0.07099 -0.07099 -0.07099 -0.07028 -0.07067 -0.07067 -0.07067

Z-Rotn rad -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00118 -0.00130 -0.00118 -0.00118 -0.00118 -0.00141 -0.00130 -0.00130 -0.00130 -0.00153 -0.00141 -0.00141 -0.00141 -0.00164 -0.00153 -0.00153 -0.00153 -0.00176 -0.00164 -0.00164 -0.00164 -0.00187 -0.00176 -0.00176 -0.00176 -0.00199 -0.00187 -0.00187 -0.00187


„ 1202 1203 1204 1205 1302 1303 1304 1305 1402 1403 1404 1405 1502 1503 1504 1505 1602 1603 1604 1605 1702 1703 1704 1705 1802 1803 1804 1805 1902 1903 1904 1905 2002 2003 2004 2005 2102 2103 2104 2105 2202 2203 2204 2205 2302 2303 2304 2305 2402 2403 2404 2405 2502 2503 2504 2505 2602 2603 2604 2605

-0.9425 -0.9500 -0.9499 -0.9500 -0.9350 -0.9425 -0.9424 -0.9425 -0.9276 -0.9350 -0.9349 -0.9351 -0.9203 -0.9276 -0.9275 -0.9277 -0.9130 -0.9203 -0.9202 -0.9204 -0.9059 -0.9130 -0.9129 -0.9131 -0.8988 -0.9059 -0.9058 -0.9060 -0.8918 -0.8988 -0.8987 -0.8989 -0.8849 -0.8918 -0.8915 -0.8922 -0.8780 -0.8849 -0.8845 -0.8852 -0.8710 -0.8780 -0.8776 -0.8783 -0.8641 -0.8710 -0.8707 -0.8714 -0.8572 -0.8641 -0.8638 -0.8645 -0.8503 -0.8572 -0.8569 -0.8575 -0.8434 -0.8503 -0.8499 -0.8506

-0.0135 -0.0138 -0.0136 -0.0136 -0.0134 -0.0136 -0.0135 -0.0135 -0.0132 -0.0135 -0.0133 -0.0133 -0.0131 -0.0134 -0.0132 -0.0132 -0.0129 -0.0132 -0.0130 -0.0130 -0.0128 -0.0131 -0.0129 -0.0129 -0.0126 -0.0129 -0.0127 -0.0127 -0.0125 -0.0128 -0.0126 -0.0126 -0.0123 -0.0129 -0.0123 -0.0123 -0.0122 -0.0127 -0.0121 -0.0121 -0.0120 -0.0126 -0.0119 -0.0119 -0.0118 -0.0124 -0.0118 -0.0118 -0.0117 -0.0122 -0.0116 -0.0116 -0.0115 -0.0121 -0.0115 -0.0115 -0.0114 -0.0119 -0.0113 -0.0113

-0.0211 -0.0178 -0.0231 -0.0232 -0.0208 -0.0176 -0.0228 -0.0229 -0.0206 -0.0174 -0.0225 -0.0226 -0.0203 -0.0171 -0.0222 -0.0224 -0.0201 -0.0169 -0.0220 -0.0221 -0.0198 -0.0167 -0.0217 -0.0218 -0.0196 -0.0165 -0.0214 -0.0216 -0.0194 -0.0163 -0.0212 -0.0213 -0.0192 -0.0104 -0.0237 -0.0241 -0.0189 -0.0102 -0.0234 -0.0238 -0.0187 -0.0100 -0.0232 -0.0236 -0.0185 -0.0098 -0.0230 -0.0234 -0.0183 -0.0095 -0.0228 -0.0231 -0.0180 -0.0093 -0.0225 -0.0229 -0.0178 -0.0091 -0.0223 -0.0227

0.00152 0.00150 0.00150 0.00150 0.00155 0.00152 0.00152 0.00152 0.00157 0.00155 0.00155 0.00155 0.00159 0.00157 0.00157 0.00157 0.00161 0.00159 0.00159 0.00159 0.00163 0.00161 0.00161 0.00161 0.00165 0.00163 0.00163 0.00163 0.00167 0.00165 0.00165 0.00165 0.00167 0.00167 0.00167 0.00167 0.00168 0.00167 0.00167 0.00167 0.00168 0.00168 0.00168 0.00168 0.00166 0.00168 0.00168 0.00168 0.00164 0.00166 0.00166 0.00166 0.00162 0.00164 0.00164 0.00164 0.00160 0.00162 0.00162 0.00162

-0.06982 -0.07028 -0.07028 -0.07028 -0.06930 -0.06982 -0.06982 -0.06982 -0.06871 -0.06930 -0.06930 -0.06930 -0.06805 -0.06871 -0.06871 -0.06871 -0.06732 -0.06805 -0.06805 -0.06805 -0.06652 -0.06732 -0.06732 -0.06732 -0.06565 -0.06652 -0.06652 -0.06652 -0.06471 -0.06565 -0.06565 -0.06565 -0.06468 -0.06471 -0.06471 -0.06471 -0.06466 -0.06468 -0.06468 -0.06468 -0.06463 -0.06466 -0.06466 -0.06466 -0.06460 -0.06463 -0.06463 -0.06463 -0.06455 -0.06460 -0.06460 -0.06460 -0.06451 -0.06455 -0.06455 -0.06455 -0.06445 -0.06451 -0.06451 -0.06451

-0.00210 -0.00199 -0.00199 -0.00199 -0.00222 -0.00210 -0.00210 -0.00210 -0.00233 -0.00222 -0.00222 -0.00222 -0.00245 -0.00233 -0.00233 -0.00233 -0.00256 -0.00245 -0.00245 -0.00245 -0.00267 -0.00256 -0.00256 -0.00256 -0.00279 -0.00267 -0.00267 -0.00267 -0.00290 -0.00279 -0.00279 -0.00279 -0.00291 -0.00290 -0.00290 -0.00290 -0.00291 -0.00291 -0.00291 -0.00291 -0.00291 -0.00291 -0.00291 -0.00291 -0.00288 -0.00291 -0.00291 -0.00291 -0.00284 -0.00288 -0.00288 -0.00288 -0.00281 -0.00284 -0.00284 -0.00284 -0.00277 -0.00281 -0.00281 -0.00281


„ 2702 2703 2704 2705 2802 2803 2804 2805 2902 2903 2904 2905 3002 3003 3004 3005 3102 3103 3104 3105 3202 3203 3204 3205 3302 3303 3304 3305 3402 3403 3404 3405 3502 3503 3504 3505 3602 3603 3604 3605 3702 3703 3704 3705 3802 3803 3804 3805 3902 3903 3904 3905 4002 4003 4004 4005 4102 4103 4104 4105

-0.8365 -0.8434 -0.8430 -0.8437 -0.8236 -0.8365 -0.8361 -0.8368 -0.8108 -0.8236 -0.8233 -0.8239 -0.7980 -0.8108 -0.8105 -0.8111 -0.7852 -0.7980 -0.7977 -0.7983 -0.7725 -0.7852 -0.7849 -0.7855 -0.7599 -0.7725 -0.7722 -0.7728 -0.7473 -0.7599 -0.7596 -0.7602 -0.7348 -0.7473 -0.7470 -0.7476 -0.7223 -0.7348 -0.7345 -0.7350 -0.7099 -0.7223 -0.7220 -0.7226 -0.6976 -0.7099 -0.7097 -0.7102 -0.6855 -0.6976 -0.6974 -0.6979 -0.6734 -0.6855 -0.6852 -0.6857 -0.6614 -0.6734 -0.6731 -0.6736

-0.0112 -0.0118 -0.0112 -0.0112 -0.0109 -0.0116 -0.0110 -0.0110 -0.0107 -0.0113 -0.0108 -0.0108 -0.0104 -0.0110 -0.0105 -0.0105 -0.0101 -0.0108 -0.0102 -0.0102 -0.0099 -0.0105 -0.0100 -0.0100 -0.0096 -0.0102 -0.0097 -0.0097 -0.0094 -0.0100 -0.0095 -0.0095 -0.0092 -0.0097 -0.0092 -0.0092 -0.0089 -0.0095 -0.0090 -0.0090 -0.0087 -0.0092 -0.0088 -0.0088 -0.0085 -0.0090 -0.0086 -0.0086 -0.0083 -0.0088 -0.0084 -0.0084 -0.0081 -0.0086 -0.0082 -0.0082 -0.0079 -0.0083 -0.0079 -0.0079

-0.0176 -0.0089 -0.0221 -0.0225 -0.0172 -0.0087 -0.0219 -0.0222 -0.0168 -0.0083 -0.0214 -0.0218 -0.0163 -0.0079 -0.0210 -0.0214 -0.0159 -0.0075 -0.0206 -0.0209 -0.0155 -0.0071 -0.0202 -0.0205 -0.0151 -0.0068 -0.0198 -0.0201 -0.0147 -0.0064 -0.0193 -0.0197 -0.0143 -0.0060 -0.0189 -0.0192 -0.0140 -0.0057 -0.0185 -0.0188 -0.0136 -0.0054 -0.0181 -0.0184 -0.0132 -0.0050 -0.0177 -0.0180 -0.0128 -0.0047 -0.0173 -0.0176 -0.0124 -0.0044 -0.0169 -0.0172 -0.0121 -0.0041 -0.0165 -0.0167

0.00158 0.00160 0.00160 0.00160 0.00154 0.00158 0.00158 0.00158 0.00151 0.00154 0.00154 0.00154 0.00147 0.00151 0.00151 0.00151 0.00144 0.00147 0.00147 0.00147 0.00141 0.00144 0.00144 0.00144 0.00137 0.00141 0.00141 0.00141 0.00134 0.00137 0.00137 0.00137 0.00130 0.00134 0.00134 0.00134 0.00127 0.00130 0.00130 0.00130 0.00123 0.00127 0.00127 0.00127 0.00120 0.00123 0.00123 0.00123 0.00117 0.00120 0.00120 0.00120 0.00113 0.00117 0.00117 0.00117 0.00110 0.00113 0.00113 0.00113

-0.06438 -0.06445 -0.06445 -0.06445 -0.06425 -0.06438 -0.06438 -0.06438 -0.06408 -0.06425 -0.06425 -0.06425 -0.06388 -0.06408 -0.06408 -0.06408 -0.06365 -0.06388 -0.06388 -0.06388 -0.06340 -0.06365 -0.06365 -0.06365 -0.06311 -0.06340 -0.06340 -0.06340 -0.06279 -0.06311 -0.06311 -0.06311 -0.06244 -0.06279 -0.06279 -0.06279 -0.06206 -0.06244 -0.06244 -0.06244 -0.06165 -0.06206 -0.06206 -0.06206 -0.06120 -0.06165 -0.06165 -0.06165 -0.06073 -0.06120 -0.06120 -0.06120 -0.06022 -0.06073 -0.06073 -0.06073 -0.05967 -0.06022 -0.06022 -0.06022

-0.00274 -0.00277 -0.00277 -0.00277 -0.00267 -0.00274 -0.00274 -0.00274 -0.00261 -0.00267 -0.00267 -0.00267 -0.00254 -0.00261 -0.00261 -0.00261 -0.00248 -0.00254 -0.00254 -0.00254 -0.00241 -0.00248 -0.00248 -0.00248 -0.00235 -0.00241 -0.00241 -0.00241 -0.00228 -0.00235 -0.00235 -0.00235 -0.00222 -0.00228 -0.00228 -0.00228 -0.00215 -0.00222 -0.00222 -0.00222 -0.00208 -0.00215 -0.00215 -0.00215 -0.00202 -0.00208 -0.00208 -0.00208 -0.00195 -0.00202 -0.00202 -0.00202 -0.00189 -0.00195 -0.00195 -0.00195 -0.00182 -0.00189 -0.00189 -0.00189


„ 4202 4203 4204 4205 4302 4303 4304 4305 4402 4403 4404 4405 4502 4503 4504 4505 4602 4603 4604 4605 4702 4703 4704 4705 4802 4803 4804 4805 4902 4903 4904 4905 5002 5003 5004 5005 5102 5103 5104 5105 5202 5203 5204 5205 5302 5303 5304 5305 5402 5403 5404 5405 5502 5503 5504 5505 5602 5603 5604 5605

-0.6495 -0.6614 -0.6611 -0.6616 -0.6377 -0.6495 -0.6493 -0.6497 -0.6261 -0.6377 -0.6375 -0.6379 -0.6146 -0.6261 -0.6259 -0.6263 -0.6032 -0.6146 -0.6144 -0.6148 -0.5920 -0.6032 -0.6030 -0.6034 -0.5809 -0.5920 -0.5918 -0.5922 -0.5700 -0.5809 -0.5808 -0.5811 -0.5593 -0.5700 -0.5699 -0.5702 -0.5487 -0.5593 -0.5591 -0.5594 -0.5383 -0.5487 -0.5486 -0.5488 -0.5281 -0.5383 -0.5382 -0.5384 -0.5181 -0.5281 -0.5280 -0.5282 -0.5083 -0.5181 -0.5180 -0.5182 -0.4987 -0.5083 -0.5082 -0.5084

-0.0077 -0.0081 -0.0078 -0.0078 -0.0075 -0.0079 -0.0076 -0.0076 -0.0073 -0.0077 -0.0074 -0.0074 -0.0071 -0.0075 -0.0072 -0.0072 -0.0070 -0.0074 -0.0070 -0.0070 -0.0068 -0.0072 -0.0069 -0.0069 -0.0066 -0.0070 -0.0067 -0.0067 -0.0065 -0.0068 -0.0065 -0.0065 -0.0063 -0.0067 -0.0064 -0.0064 -0.0062 -0.0065 -0.0063 -0.0063 -0.0061 -0.0064 -0.0061 -0.0061 -0.0059 -0.0062 -0.0060 -0.0060 -0.0058 -0.0061 -0.0059 -0.0059 -0.0057 -0.0060 -0.0058 -0.0058 -0.0056 -0.0058 -0.0056 -0.0056

-0.0117 -0.0038 -0.0161 -0.0163 -0.0114 -0.0036 -0.0157 -0.0159 -0.0110 -0.0033 -0.0153 -0.0156 -0.0107 -0.0030 -0.0149 -0.0152 -0.0104 -0.0028 -0.0146 -0.0148 -0.0101 -0.0026 -0.0142 -0.0144 -0.0098 -0.0024 -0.0138 -0.0140 -0.0095 -0.0022 -0.0135 -0.0137 -0.0092 -0.0020 -0.0131 -0.0133 -0.0089 -0.0018 -0.0128 -0.0130 -0.0086 -0.0016 -0.0124 -0.0126 -0.0084 -0.0015 -0.0121 -0.0123 -0.0081 -0.0014 -0.0118 -0.0119 -0.0079 -0.0012 -0.0115 -0.0116 -0.0076 -0.0011 -0.0111 -0.0113

0.00106 0.00110 0.00110 0.00110 0.00103 0.00106 0.00106 0.00106 0.00099 0.00103 0.00103 0.00103 0.00096 0.00099 0.00099 0.00099 0.00092 0.00096 0.00096 0.00096 0.00089 0.00092 0.00092 0.00092 0.00085 0.00089 0.00089 0.00089 0.00082 0.00085 0.00085 0.00085 0.00078 0.00082 0.00082 0.00082 0.00075 0.00078 0.00078 0.00078 0.00071 0.00075 0.00075 0.00075 0.00068 0.00071 0.00071 0.00071 0.00064 0.00068 0.00068 0.00068 0.00061 0.00064 0.00064 0.00064 0.00058 0.00061 0.00061 0.00061

-0.05910 -0.05967 -0.05967 -0.05967 -0.05849 -0.05910 -0.05910 -0.05910 -0.05785 -0.05849 -0.05849 -0.05849 -0.05718 -0.05785 -0.05785 -0.05785 -0.05647 -0.05718 -0.05718 -0.05718 -0.05573 -0.05647 -0.05647 -0.05647 -0.05496 -0.05573 -0.05573 -0.05573 -0.05416 -0.05496 -0.05496 -0.05496 -0.05331 -0.05416 -0.05416 -0.05416 -0.05243 -0.05331 -0.05331 -0.05331 -0.05151 -0.05243 -0.05243 -0.05243 -0.05055 -0.05151 -0.05151 -0.05151 -0.04955 -0.05055 -0.05055 -0.05055 -0.04851 -0.04955 -0.04955 -0.04955 -0.04744 -0.04851 -0.04851 -0.04851

-0.00176 -0.00182 -0.00182 -0.00182 -0.00169 -0.00176 -0.00176 -0.00176 -0.00162 -0.00169 -0.00169 -0.00169 -0.00156 -0.00162 -0.00162 -0.00162 -0.00149 -0.00156 -0.00156 -0.00156 -0.00142 -0.00149 -0.00149 -0.00149 -0.00136 -0.00142 -0.00142 -0.00142 -0.00129 -0.00136 -0.00136 -0.00136 -0.00122 -0.00129 -0.00129 -0.00129 -0.00116 -0.00122 -0.00122 -0.00122 -0.00109 -0.00116 -0.00116 -0.00116 -0.00102 -0.00109 -0.00109 -0.00109 -0.00096 -0.00102 -0.00102 -0.00102 -0.00089 -0.00096 -0.00096 -0.00096 -0.00083 -0.00089 -0.00089 -0.00089


„ 5702 5703 5704 5705 5802 5803 5804 5805 5902 5903 5904 5905 6002 6003 6004 6005 6102 6103 6104 6105 6202 6203 6204 6205 6302 6303 6304 6305 6402 6403 6404 6405 6502 6503 6504 6505 6602 6603 6604 6605 6702 6703 6704 6705 6802 6803 6804 6805 6902 6903 6904 6905 7002 7003 7004 7005 7102 7103 7104 7105

-0.4893 -0.4987 -0.4986 -0.4988 -0.4755 -0.4893 -0.4892 -0.4894 -0.4618 -0.4755 -0.4754 -0.4756 -0.4483 -0.4618 -0.4617 -0.4619 -0.4350 -0.4483 -0.4482 -0.4484 -0.4219 -0.4350 -0.4349 -0.4351 -0.4089 -0.4219 -0.4218 -0.4220 -0.3962 -0.4089 -0.4088 -0.4090 -0.3836 -0.3962 -0.3961 -0.3963 -0.3713 -0.3836 -0.3836 -0.3837 -0.3592 -0.3713 -0.3712 -0.3714 -0.3474 -0.3592 -0.3592 -0.3593 -0.3358 -0.3474 -0.3473 -0.3475 -0.3245 -0.3358 -0.3357 -0.3359 -0.3134 -0.3245 -0.3244 -0.3245

-0.0055 -0.0057 -0.0055 -0.0055 -0.0053 -0.0056 -0.0054 -0.0054 -0.0052 -0.0055 -0.0053 -0.0053 -0.0051 -0.0053 -0.0051 -0.0051 -0.0049 -0.0052 -0.0050 -0.0050 -0.0048 -0.0050 -0.0049 -0.0049 -0.0047 -0.0049 -0.0047 -0.0047 -0.0045 -0.0048 -0.0046 -0.0046 -0.0044 -0.0046 -0.0045 -0.0045 -0.0043 -0.0045 -0.0044 -0.0044 -0.0042 -0.0044 -0.0042 -0.0042 -0.0041 -0.0043 -0.0041 -0.0041 -0.0039 -0.0041 -0.0040 -0.0040 -0.0038 -0.0040 -0.0039 -0.0039 -0.0037 -0.0039 -0.0038 -0.0038

-0.0074 -0.0011 -0.0108 -0.0110 -0.0071 0.0012 -0.0116 -0.0118 -0.0068 0.0014 -0.0113 -0.0114 -0.0065 0.0016 -0.0109 -0.0111 -0.0062 0.0018 -0.0105 -0.0107 -0.0059 0.0020 -0.0102 -0.0103 -0.0056 0.0022 -0.0098 -0.0100 -0.0053 0.0024 -0.0095 -0.0096 -0.0051 0.0025 -0.0092 -0.0093 -0.0048 0.0026 -0.0088 -0.0090 -0.0046 0.0028 -0.0085 -0.0086 -0.0043 0.0029 -0.0082 -0.0083 -0.0041 0.0029 -0.0079 -0.0080 -0.0039 0.0030 -0.0076 -0.0077 -0.0037 0.0031 -0.0073 -0.0074

0.00054 0.00058 0.00058 0.00058 0.00053 0.00054 0.00054 0.00054 0.00051 0.00053 0.00053 0.00053 0.00049 0.00051 0.00051 0.00051 0.00048 0.00049 0.00049 0.00049 0.00046 0.00048 0.00048 0.00048 0.00044 0.00046 0.00046 0.00046 0.00042 0.00044 0.00044 0.00044 0.00042 0.00042 0.00042 0.00042 0.00041 0.00042 0.00042 0.00042 0.00041 0.00041 0.00041 0.00041 0.00040 0.00041 0.00041 0.00041 0.00040 0.00040 0.00040 0.00040 0.00039 0.00040 0.00040 0.00040 0.00038 0.00039 0.00039 0.00039

-0.04632 -0.04744 -0.04744 -0.04744 -0.04581 -0.04632 -0.04632 -0.04632 -0.04527 -0.04581 -0.04581 -0.04581 -0.04470 -0.04527 -0.04527 -0.04527 -0.04410 -0.04470 -0.04470 -0.04470 -0.04348 -0.04410 -0.04410 -0.04410 -0.04283 -0.04348 -0.04348 -0.04348 -0.04215 -0.04283 -0.04283 -0.04283 -0.04143 -0.04215 -0.04215 -0.04215 -0.04069 -0.04143 -0.04143 -0.04143 -0.03991 -0.04069 -0.04069 -0.04069 -0.03909 -0.03991 -0.03991 -0.03991 -0.03823 -0.03909 -0.03909 -0.03909 -0.03734 -0.03823 -0.03823 -0.03823 -0.03641 -0.03734 -0.03734 -0.03734

-0.00076 -0.00083 -0.00083 -0.00083 -0.00073 -0.00076 -0.00076 -0.00076 -0.00070 -0.00073 -0.00073 -0.00073 -0.00067 -0.00070 -0.00070 -0.00070 -0.00064 -0.00067 -0.00067 -0.00067 -0.00061 -0.00064 -0.00064 -0.00064 -0.00058 -0.00061 -0.00061 -0.00061 -0.00055 -0.00058 -0.00058 -0.00058 -0.00053 -0.00055 -0.00055 -0.00055 -0.00051 -0.00053 -0.00053 -0.00053 -0.00049 -0.00051 -0.00051 -0.00051 -0.00047 -0.00049 -0.00049 -0.00049 -0.00045 -0.00047 -0.00047 -0.00047 -0.00042 -0.00045 -0.00045 -0.00045 -0.00040 -0.00042 -0.00042 -0.00042


„ 7202 7203 7204 7205 7302 7303 7304 7305 7402 7403 7404 7405 7502 7503 7504 7505 7602 7603 7604 7605 7702 7703 7704 7705 7802 7803 7804 7805 7902 7903 7904 7905 8002 8003 8004 8005 8102 8103 8104 8105 8202 8203 8204 8205 8302 8303 8304 8305 8402 8403 8404 8405 8502 8503 8504 8505 8602 8603 8604 8605

-0.3026 -0.3134 -0.3133 -0.3135 -0.2921 -0.3026 -0.3025 -0.3027 -0.2820 -0.2921 -0.2921 -0.2922 -0.2721 -0.2820 -0.2819 -0.2820 -0.2626 -0.2721 -0.2720 -0.2721 -0.2534 -0.2626 -0.2625 -0.2626 -0.2415 -0.2534 -0.2533 -0.2534 -0.2299 -0.2415 -0.2415 -0.2416 -0.2185 -0.2299 -0.2298 -0.2299 -0.2075 -0.2185 -0.2185 -0.2186 -0.1967 -0.2075 -0.2074 -0.2075 -0.1862 -0.1967 -0.1967 -0.1967 -0.1761 -0.1862 -0.1862 -0.1863 -0.1663 -0.1761 -0.1760 -0.1761 -0.1568 -0.1663 -0.1662 -0.1663

-0.0036 -0.0038 -0.0037 -0.0037 -0.0035 -0.0037 -0.0036 -0.0036 -0.0034 -0.0036 -0.0035 -0.0035 -0.0033 -0.0035 -0.0034 -0.0034 -0.0032 -0.0034 -0.0033 -0.0033 -0.0031 -0.0032 -0.0032 -0.0032 -0.0030 -0.0032 -0.0031 -0.0031 -0.0028 -0.0030 -0.0029 -0.0029 -0.0027 -0.0029 -0.0028 -0.0028 -0.0026 -0.0028 -0.0027 -0.0027 -0.0025 -0.0026 -0.0026 -0.0026 -0.0023 -0.0025 -0.0024 -0.0024 -0.0022 -0.0024 -0.0023 -0.0023 -0.0021 -0.0023 -0.0022 -0.0022 -0.0020 -0.0022 -0.0021 -0.0021

-0.0035 0.0031 -0.0070 -0.0071 -0.0033 0.0031 -0.0067 -0.0068 -0.0031 0.0031 -0.0064 -0.0065 -0.0029 0.0031 -0.0061 -0.0063 -0.0028 0.0031 -0.0059 -0.0060 -0.0026 0.0030 -0.0056 -0.0057 -0.0025 0.0045 -0.0061 -0.0063 -0.0023 0.0045 -0.0059 -0.0060 -0.0021 0.0046 -0.0056 -0.0058 -0.0020 0.0046 -0.0054 -0.0055 -0.0018 0.0045 -0.0052 -0.0053 -0.0017 0.0045 -0.0049 -0.0050 -0.0015 0.0045 -0.0047 -0.0048 -0.0014 0.0044 -0.0045 -0.0046 -0.0013 0.0043 -0.0042 -0.0043

0.00038 0.00038 0.00038 0.00038 0.00037 0.00038 0.00038 0.00038 0.00036 0.00037 0.00037 0.00037 0.00035 0.00036 0.00036 0.00036 0.00034 0.00035 0.00035 0.00035 0.00034 0.00034 0.00034 0.00034 0.00033 0.00034 0.00034 0.00034 0.00032 0.00033 0.00033 0.00033 0.00032 0.00032 0.00032 0.00032 0.00031 0.00032 0.00032 0.00032 0.00031 0.00031 0.00031 0.00031 0.00030 0.00031 0.00031 0.00031 0.00029 0.00030 0.00030 0.00030 0.00028 0.00029 0.00029 0.00029 0.00028 0.00028 0.00028 0.00028

-0.03544 -0.03641 -0.03641 -0.03641 -0.03444 -0.03544 -0.03544 -0.03544 -0.03339 -0.03444 -0.03444 -0.03444 -0.03231 -0.03339 -0.03339 -0.03339 -0.03118 -0.03231 -0.03231 -0.03231 -0.03002 -0.03118 -0.03118 -0.03118 -0.02938 -0.03002 -0.03002 -0.03002 -0.02872 -0.02938 -0.02938 -0.02938 -0.02803 -0.02872 -0.02872 -0.02872 -0.02730 -0.02803 -0.02803 -0.02803 -0.02655 -0.02730 -0.02730 -0.02730 -0.02577 -0.02655 -0.02655 -0.02655 -0.02496 -0.02577 -0.02577 -0.02577 -0.02412 -0.02496 -0.02496 -0.02496 -0.02325 -0.02412 -0.02412 -0.02412

-0.00038 -0.00040 -0.00040 -0.00040 -0.00036 -0.00038 -0.00038 -0.00038 -0.00034 -0.00036 -0.00036 -0.00036 -0.00032 -0.00034 -0.00034 -0.00034 -0.00030 -0.00032 -0.00032 -0.00032 -0.00027 -0.00030 -0.00030 -0.00030 -0.00026 -0.00027 -0.00027 -0.00027 -0.00025 -0.00026 -0.00026 -0.00026 -0.00024 -0.00025 -0.00025 -0.00025 -0.00023 -0.00024 -0.00024 -0.00024 -0.00022 -0.00023 -0.00023 -0.00023 -0.00021 -0.00022 -0.00022 -0.00022 -0.00020 -0.00021 -0.00021 -0.00021 -0.00019 -0.00020 -0.00020 -0.00020 -0.00018 -0.00019 -0.00019 -0.00019


„ 8702 8703 8704 8705 8802 8803 8804 8805 8902 8903 8904 8905 9002 9003 9004 9005 9102 9103 9104 9105 9202 9203 9204 9205 9302 9303 9304 9305 9402 9403 9404 9405 9502 9503 9504 9505 9602 9603 9604 9605 9702 9703 9704 9705 9802 9803 9804 9805 9902 9903 9904 9905 10002 10003 10004 10005 10102 10103 10104 10105

-0.1477 -0.1568 -0.1568 -0.1568 -0.1389 -0.1477 -0.1476 -0.1477 -0.1305 -0.1389 -0.1389 -0.1389 -0.1226 -0.1305 -0.1305 -0.1306 -0.1150 -0.1226 -0.1225 -0.1226 -0.1078 -0.1150 -0.1150 -0.1150 -0.0993 -0.1078 -0.1078 -0.1079 -0.0910 -0.0993 -0.0993 -0.0993 -0.0831 -0.0910 -0.0910 -0.0911 -0.0755 -0.0831 -0.0831 -0.0831 -0.0682 -0.0755 -0.0755 -0.0755 -0.0613 -0.0682 -0.0682 -0.0683 -0.0548 -0.0613 -0.0613 -0.0613 -0.0486 -0.0548 -0.0547 -0.0548 -0.0427 -0.0486 -0.0485 -0.0486

-0.0019 -0.0020 -0.0020 -0.0020 -0.0018 -0.0019 -0.0019 -0.0019 -0.0017 -0.0018 -0.0018 -0.0018 -0.0016 -0.0017 -0.0017 -0.0017 -0.0015 -0.0016 -0.0016 -0.0016 -0.0014 -0.0015 -0.0015 -0.0015 -0.0013 -0.0014 -0.0014 -0.0014 -0.0012 -0.0013 -0.0013 -0.0013 -0.0011 -0.0012 -0.0012 -0.0012 -0.0010 -0.0011 -0.0011 -0.0011 -0.0009 -0.0010 -0.0010 -0.0010 -0.0008 -0.0009 -0.0009 -0.0009 -0.0007 -0.0008 -0.0008 -0.0008 -0.0007 -0.0008 -0.0007 -0.0007 -0.0006 -0.0007 -0.0006 -0.0006

-0.0012 0.0042 -0.0040 -0.0041 -0.0011 0.0041 -0.0038 -0.0039 -0.0010 0.0040 -0.0036 -0.0037 -0.0009 0.0039 -0.0034 -0.0035 -0.0008 0.0037 -0.0032 -0.0033 -0.0008 0.0035 -0.0030 -0.0031 -0.0007 0.0047 -0.0034 -0.0036 -0.0006 0.0046 -0.0033 -0.0034 -0.0006 0.0045 -0.0031 -0.0032 -0.0005 0.0043 -0.0029 -0.0030 -0.0004 0.0042 -0.0028 -0.0029 -0.0004 0.0040 -0.0026 -0.0027 -0.0003 0.0039 -0.0024 -0.0025 -0.0003 0.0037 -0.0023 -0.0024 -0.0002 0.0035 -0.0021 -0.0022

0.00027 0.00028 0.00028 0.00028 0.00026 0.00027 0.00027 0.00027 0.00025 0.00026 0.00026 0.00026 0.00024 0.00025 0.00025 0.00025 0.00023 0.00024 0.00024 0.00024 0.00022 0.00023 0.00023 0.00023 0.00021 0.00022 0.00022 0.00022 0.00021 0.00021 0.00021 0.00021 0.00020 0.00021 0.00021 0.00021 0.00019 0.00020 0.00020 0.00020 0.00018 0.00019 0.00019 0.00019 0.00018 0.00018 0.00018 0.00018 0.00017 0.00018 0.00018 0.00018 0.00016 0.00017 0.00017 0.00017 0.00015 0.00016 0.00016 0.00016

-0.02235 -0.02325 -0.02325 -0.02325 -0.02142 -0.02235 -0.02235 -0.02235 -0.02045 -0.02142 -0.02142 -0.02142 -0.01946 -0.02045 -0.02045 -0.02045 -0.01843 -0.01946 -0.01946 -0.01946 -0.01737 -0.01843 -0.01843 -0.01843 -0.01678 -0.01737 -0.01737 -0.01737 -0.01617 -0.01678 -0.01678 -0.01678 -0.01553 -0.01617 -0.01617 -0.01617 -0.01488 -0.01553 -0.01553 -0.01553 -0.01420 -0.01488 -0.01488 -0.01488 -0.01350 -0.01420 -0.01420 -0.01420 -0.01277 -0.01350 -0.01350 -0.01350 -0.01202 -0.01277 -0.01277 -0.01277 -0.01125 -0.01202 -0.01202 -0.01202

-0.00017 -0.00018 -0.00018 -0.00018 -0.00016 -0.00017 -0.00017 -0.00017 -0.00014 -0.00016 -0.00016 -0.00016 -0.00013 -0.00014 -0.00014 -0.00014 -0.00012 -0.00013 -0.00013 -0.00013 -0.00011 -0.00012 -0.00012 -0.00012 -0.00011 -0.00011 -0.00011 -0.00011 -0.00010 -0.00011 -0.00011 -0.00011 -0.00010 -0.00010 -0.00010 -0.00010 -0.00009 -0.00010 -0.00010 -0.00010 -0.00009 -0.00009 -0.00009 -0.00009 -0.00008 -0.00009 -0.00009 -0.00009 -0.00007 -0.00008 -0.00008 -0.00008 -0.00007 -0.00007 -0.00007 -0.00007 -0.00006 -0.00007 -0.00007 -0.00007


„ 10202 10203 10204 10205 10302 10303 10304 10305 10402 10403 10404 10405 10502 10503 10504 10505 10602 10603 10604 10605 10702 10703 10704 10705 10802 10803 10804 10805 10902 10903 10904 10905 11002 11003 11004 11005 11102 11103 11104 11105 11202 11203 11204 11205 11302 11303 11304 11305 11402 11403 11404 11405 11503 11504 11505

-0.0373 -0.0427 -0.0427 -0.0428 -0.0323 -0.0373 -0.0373 -0.0373 -0.0277 -0.0323 -0.0323 -0.0323 -0.0227 -0.0277 -0.0277 -0.0277 -0.0181 -0.0227 -0.0226 -0.0227 -0.0140 -0.0181 -0.0181 -0.0181 -0.0104 -0.0140 -0.0140 -0.0140 -0.0073 -0.0104 -0.0104 -0.0104 -0.0047 -0.0073 -0.0073 -0.0073 -0.0027 -0.0047 -0.0047 -0.0047 -0.0012 -0.0027 -0.0027 -0.0027 -0.0003 -0.0012 -0.0012 -0.0012 0.0000 -0.0003 -0.0003 -0.0003 0.0000 0.0000 0.0000

-0.0005 -0.0006 -0.0006 -0.0006 -0.0004 -0.0005 -0.0005 -0.0005 -0.0004 -0.0005 -0.0004 -0.0004 -0.0003 -0.0004 -0.0004 -0.0004 -0.0002 -0.0003 -0.0003 -0.0003 -0.0002 -0.0003 -0.0002 -0.0002 -0.0001 -0.0002 -0.0002 -0.0002 -0.0001 -0.0002 -0.0001 -0.0001 -0.0001 -0.0001 -0.0001 -0.0001 0.0000 -0.0001 -0.0001 -0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

-0.0002 0.0033 -0.0020 -0.0021 -0.0002 0.0031 -0.0018 -0.0019 -0.0002 0.0028 -0.0017 -0.0017 -0.0001 0.0027 -0.0015 -0.0016 -0.0001 0.0024 -0.0014 -0.0014 -0.0001 0.0022 -0.0012 -0.0013 -0.0001 0.0020 -0.0011 -0.0011 0.0000 0.0017 -0.0009 -0.0010 0.0000 0.0015 -0.0008 -0.0008 0.0000 0.0012 -0.0006 -0.0007 0.0000 0.0009 -0.0005 -0.0005 0.0000 0.0006 -0.0003 -0.0003 0.0000 0.0003 -0.0002 -0.0002 0.0000 0.0000 0.0000

0.00014 0.00015 0.00015 0.00015 0.00013 0.00014 0.00014 0.00014 0.00012 0.00013 0.00013 0.00013 0.00011 0.00012 0.00012 0.00012 0.00010 0.00011 0.00011 0.00011 0.00009 0.00010 0.00010 0.00010 0.00008 0.00009 0.00009 0.00009 0.00007 0.00008 0.00008 0.00008 0.00005 0.00007 0.00007 0.00007 0.00004 0.00005 0.00005 0.00005 0.00003 0.00004 0.00004 0.00004 0.00001 0.00003 0.00003 0.00003 0.00000 0.00001 0.00001 0.00001 0.00000 0.00000 0.00000

-0.01045 -0.01125 -0.01125 -0.01125 -0.00962 -0.01045 -0.01045 -0.01045 -0.00878 -0.00962 -0.00962 -0.00962 -0.00802 -0.00878 -0.00878 -0.00878 -0.00724 -0.00802 -0.00802 -0.00802 -0.00643 -0.00724 -0.00724 -0.00724 -0.00559 -0.00643 -0.00643 -0.00643 -0.00473 -0.00559 -0.00559 -0.00559 -0.00384 -0.00473 -0.00473 -0.00473 -0.00292 -0.00384 -0.00384 -0.00384 -0.00198 -0.00292 -0.00292 -0.00292 -0.00100 -0.00198 -0.00198 -0.00198 0.00000 -0.00100 -0.00100 -0.00100 0.00000 0.00000 0.00000

-0.00006 -0.00006 -0.00006 -0.00006 -0.00005 -0.00006 -0.00006 -0.00006 -0.00005 -0.00005 -0.00005 -0.00005 -0.00004 -0.00005 -0.00005 -0.00005 -0.00004 -0.00004 -0.00004 -0.00004 -0.00003 -0.00004 -0.00004 -0.00004 -0.00003 -0.00003 -0.00003 -0.00003 -0.00002 -0.00003 -0.00003 -0.00003 -0.00002 -0.00002 -0.00002 -0.00002 -0.00001 -0.00002 -0.00002 -0.00002 -0.00001 -0.00001 -0.00001 -0.00001 0.00000 -0.00001 -0.00001 -0.00001 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000


„

14. CONCLUSION Para la evaluación estructural de la EBC DOS CRUCES se utilizaron los resultados del análisis del Monopolo existente de 30.00m, determinados a partir de la modelación de ésta en el programa de análisis estructural Ms Tower v 6.0. Como conclusión de esta memoria se tienen los siguientes resultados; 1. La estructura existente verificada en esta evaluación NO SOPORTA las cargas de diseño (velocidad de viento de supervivencia de 120Kmh) mencionadas según las normas descritas de AMERICA MOVIL. 2. La estructura presenta deformaciones máximas MAYORES comparada con las deflexiones admisibles de 0.75º, con respecto a la torsión máxima es MENOR a 0.30º solicitado por AMERICA MOVIL medidas en la cúspide de la estructura para una velocidad de viento de 90Kmh (Velocidad de operación). Deflexión: 0.8919m equivalente a 1.703° Torsión: 0.1834° 3. Las Máximas reacciones (en KN y KN-m) que el monopolo transmite al terreno son las siguientes: Nudo 580 11402

Fx 0.742

Fy 38.048

Fz 67.748

Mx -796.997

My 15.849

Mz -0.659

4. El monopolo existente requiere de reforzamiento.


„

15. REGISTRO FOTOGRAFICO

Foto 1. Vista de antenas MW y RF existentes.


„

Foto 2. Vista superior del Monopolo.

Foto 3. Base.


MEMORIA DE CÁLCULO MONOPOLO 30.M DOS CRUCES EXISTENTE

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