UNIVERSIDAD DE LOS ANDES FACULTAD DE INGENIERA
MATERIAL DE APOYO PARA ESTUDIANTES DE INSTALACIONES SANITARIAS
Profesor Francisco Rivas Departamento de Hidráulica y Sanitaria
2014
1
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Tabla I.1. Unidades de descarga para piezas diversas. Tipo de pieza
Diámetro del sifón
Unidades de descarga
Bañera Batea Bidet Ducha privada Ducha pública Escupidera de dentista Esterilizador con tubería de alimentación de ½” Excusado con estanque Excusado con válvula Fregadero Fregadero con triturador de desperdicios Fuente de agua potable Inodoro de piso Lavadora mecánica Lavamanos Urinario con estanque Urinario con válvula Urinario de pedestal Cuarto de baño completo con excusado de estanque Cuarto de baño completo con excusado de válvula
2” 2” 2” 2” 2” 2” 2” 4” 4 ” 2” 2” 1 ½” 2” 3” 2” 2” 4 ” 2”
2-3 2 3 2 3 1 ½ 4 8 2 3 ½ 2 2 1-2 4 8 4 6 8
Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
Tabla I.2. Unidades de descarga para piezas no especificadas. Diámetro de la tubería de descarga de la pieza 2” 3” 4”
Unidades de descarga 3 5 6
Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
Tabla I.3. Número máximo de unidades de descarga para bajantes. Número máximo de unidades de descarga Diámetro del tubo
Bajantes de tres pisos de altura
2” 3” 4” 6”
10 30 240 960
Bajantes de más de tres pisos Total en el bajante Total por piso 24 6 60 16 500 90 1900 350
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Tabla I.4. Número máximo de unidades de descarga para ramales horizontales y cloacas.
Número máximo de unidades de descarga Pendiente Diámetro del tubo 1% 2% 2” 21 20 27 3” 4” 180 216 6” 700 840 8” 1600 1920 10” 2900 3500 12” 4600 5600
4% 26 36 250 1000 2300 4200 6700
Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
Tabla I.5. Distancias máximas entre el sello de agua y el tubo de ventilación. Diámetro del conducto de desagüe de la pieza
Distancia máxima (m)
2” 3” 4” Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
1,50 1,80 3,00
Tabla I.6. Dimensiones de los tubos de ventilación principal. Diámetro del bajante
Unidades de descarga ventiladas
2” 2” 3” 3” 3” 4” 4” 4” 6” 6” 6” 6” 8” 8” 8” 8”
12 20 10 30 60 100 200 500 350 620 960 1900 600 1400 2200 3600
Diámetro requerido para el tubo de ventilación principal 1 ½” 2” 3” 4” 6” 8” Longitud máxima del tubo en metros 23,0 15,0 9,0
60,0 45,0 30,0 18,0 15,0 11,0 9,0 6,0
180,0 150,0 120,0 78,0 75,0 54,0 15,0 9,0 7,0 6,0
300,0 270,0 210,0 60,0 38,0 30,0 21,0 15,0 12,0 9,0 8,0
390,0 330,0 300,0 210,0 150,0 120,0 105,0 75,0
390,0 360,0 330,0 240,0
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Tabla I.7. Dimensiones de los subientes tubería de ventilación. Diámetro Unidades de del ramal descarga a horizontal ventilar de desagüe
Diámetro del tubo de ventilación 1 ½”
2”
3”
4”
Máxima longitud del tubo de ventilación (m)
2” 12 4,5 12,0 2” 20 3,0 9,0 3” 10 6,0 3” 30 3” 60 4” 100 2,1 4” 200 1,8 4” 500 Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
30,0 30,0 24,0 15,6 15,0 10,8
60,0 54,0 42,0
Tabla I.8. Bajantes para agua de lluvia. Diámetro del bajante
50
Intensidad de la lluvia en mm/H 75 100 125 150 2 Área drenada en m
2” 130 85 65 2 1/2” 240 160 120 3” 400 270 200 4” 850 570 425 5” 800 6” Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
50 95 160 340 640
200
40 80 135 285 535 835
30 60 100 210 400 625
Tabla I.9. Ramales horizontales o conductos circulares para agua de lluvia. Diámetro del ramal
50
Intensidad de la lluvia en mm/H 75 100 125 150 50 75 100 125 Pendiente 1% Pendiente 2% 2 Área drenada en m
3” 150 100 75 60 50 215 4” 345 230 170 135 115 400 5” 620 410 310 245 205 875 6” 990 660 495 395 330 1400 8” 2100 1425 1065 855 805 3025 Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
140 325 580 935 2015
105 245 435 700 1510
85 195 350 560 1210
150 70 160 290 465 1005
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Tabla I.10. Canales semi-circulares para agua de lluvia. Diámetro del canal
1/2 %
Área drenada en m2 1% 2%
4%
3” 15 22 31 44 4” 33 47 67 94 5” 58 81 116 164 6” 89 126 178 257 7” 128 181 256 362 8” 184 260 370 520 10” 334 473 669 929 Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo. mm/ H. Para otra intensidad de lluvia multiplíquese el Nota: Se supone la intensidad de la lluvia de 100 mm/H. área drenada por la relación I/100, donde I es la intensidad dada. La canal rectangular deberá tomarse con la misma sección transversal.
Tabla I.11. Transformación de unidades de descarga en caudal. (M) Gasto máximo
Número de unidades de descarga L/s 150 5,1 250 6,0 370 7,6 500 8,8 630 10,1 775 11,4 920 12,6 1070 13,9 1225 15,1 1550 17,7 1900 20,2 2250 22,7 2650 25,2 3000 27,8 3400 30,3 3800 32,8 4250 35,3 4700 37,9 5100 40,4 5600 42,9 Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo. Nota: Gasto máximo = 2 * gasto medio.
Gal/min 80 100 120 140 160 180 200 220 240 280 320 360 400 440 480 520 560 600 640 680
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Tabla I.12. Diámetros mínimos de las tuberías de empotramiento y dimensiones mínimas del cachimbo o tanquilla de empotramiento, en función de las dotaciones de agua asignadas a la parcelas.
Dotación asignada a la parcela o lote en L/día Hasta 15.000 De 15.001 a 45.000 De 45.001 a 100.000 De 100.001 a 200.000 De 200.001 a 400.000
Diámetro mínimo de la tubería de empotramiento mm
pulgadas
150 200 250 300 380
6 8 10 12 15
Dimensiones mínimas del cachimbo o de la tanquilla de empotramiento mm pulgadas 250 300 380 457 610
10 12 15 18 24
Fuente: Cloacas y drenaje. Arocha, Simón.
Tabla II.1. Tamaño de los medidores de servicio. Número de familias a las que sirve
Diámetro interno del medidor
Cinco familias o menos Seis hasta doce familias Trece a dieciocho familias Diecinueve a treinta familias Treintiuna a cincuenta familias Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
5/8” 3/4” 1” 1 1/2” 2”
Tabla II.2. Presiones mínimas recomendadas en la tubería matriz. Descripción de la edificación
Presión mínima (m)
En barrios que se surtan de fuentes publicas En barrios de casas pobres donde se estima que no usaran más de una pluma de agua En áreas residenciales con edificios de tres o menos pisos En áreas residenciales con edificios de cuatro o más pisos En áreas comerciales e industriales ubicadas en zonas separadas de las residenciales y destinada exclusivamente a estos fines: -Hasta 15.000 habitantes -Desde 15.000 hasta 50.000 habitantes -De más de 50.000 habitantes Máxima presión estática permisible en cualquier caso Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
5 15 25 35
25 35 50 70
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Figura I.1. Curvas intensidad-duración-frecuencia del Estado Mérida.
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Figura I.2. Detalle de la acometida y medidor de servicio de agua potable.
Fuente: Detalles típicos, Osers, H.
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Tabla II.4. Valores del coeficiente n de rugosidad de Manning. Tipo de canal
n
Cemento muy pulido, madera muy bien cepillada Madera rugosa Tubería de alcantarillado bien vitrificada, buena mampostería, tubería de hormigón, acequias de balasto fino Tubería de alcantarillado de arcilla, tuberías de fundición ordinaria, cemento con pulido ordinario Canales de tierra rectos y bien conservados Canales de tierra gradados en condiciones ordinarias Canales labrados en roca Ríos en buenas condiciones Fuente: Mecánica de los fluidos e hidráulica. Giles, Ranald, et al.
0,010 0,012 0,013 0,015 0,023 0,027 0,040 0,030
Tabla II.5. Diámetros, presiones y gastos gastos mínimos en los puntos de consumo de agua potable.
Pieza
Diámetro mínimo
Carga libre (m)
Carga total (m)
Gasto (L/s)
Bañera
3/4" 1/2” 1/2" 1/2" 3/8” 1/2" 1 ¼” 1/2" 3/8” 1/2" 1/2” 3/4" 1/2" 3/4" 1/2”
2,00 2 ,00 2,00 2,0 0 1,50 1,50 2,00 2,0 0 2,00 7,00 a 14,00 2,00 2,50 2,5 0 2,00 2,00 2,0 0 7,00 3,50 5,00 a 10,00 2,00 2,0 0
2,40 3,00 1,90 3,50 2,50 2,40 8,00 a 15,00 3,00 3,50 3,00 3,00 8,00 4,50 6,00 a 11,00 3,00
0,35 0,30 0,07 0,30 0,10 0,30 1,00 a 2,50 0,30 0,10 0,20 0,30 0,30 0,30 1,00 a 2,00 0,30
Batea Bidet Ducha Escupidero de dentista Excusado Excusado de válvula Fregadero de cocina o pantry Fuente de beber Lavamanos Lavamopas Lavaplatos mecánico Lavadora mecánica Urinario de válvula Urinario de tanque
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Tabla II.7. Unidades de gasto para el cálculo de tuberías de distribución de agua potable en edificios (piezas de uso privado).
Pieza
Unidades de Gasto Caliente Total
Fría
Bañera Batea Bidet Ducha Excusado con tanque Excusado con válvula Fregadero de cocina Fregadero Pantry Fregadero lavaplatos lavaplato s combinación Lavamanos Lavamopas Lavadora mecánica Urinario con tanque Urinario con válvula Cuarto de baño completo con válvula Cuarto de baño completo con tanque
1,50 2,00 0,75 1,50 3,00 6,00 1,50 2,00 2,00 0,75 1,50 3,00 3,00 5,00 6,00 4,00
1,50 2,00 0,75 1,50 ----1,50 2,00 2,00 0,75 0,50 3,00 ----3,00 3,00
2 3 1 2 3 6 2 3 3 1 2 4 3 5 8 6
Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
Tabla II.8. Pérdidas de carga accidentales, longitud equivalente de conductos rectos en metros. Diámetro 1/2" 3/4" nominal Codo 90˚ Codo 45˚ Tee Válvula de compuerta
Válvula de globo
1”
1 ¼”
1 ½”
1,50 0,60 0,6 0 0,90 0,30
0,60 0,30 0,30 0,30
0,60 0,30 0,60 0,30
0,90 0,30 0,60 0,30
1,20 0,60 0,90 0,30
5,10
6,30
8,70
11,40 13,50
2”
1,50 0,90 0,90 0,30
2 ½”
2,10 0,90 1,50 0,60
17,40 20,40
3”
4”
5”
6”
2,40 1,20 1,80 0,60
3,30 1,50 2,10 0,60
4,20 1,80 1, 80 2,70 0,90
4,80 2,40 3,30 1,20
24,60 34,50
42,00 48,00
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Tabla II.9. Pérdidas de carga en medidores, longitud equivalente de conducto recto en metros.
Medidor 5/8” con conexiones de 1/2” 5/8” con conexiones de 3/4” 3/4” con conexiones de 3/4” 1” con conexiones de 1” 1 1/4” con conexiones de 1”
Diámetro de la acometida 1” 1/2" 3/4" 1 1/4" 2,0 1,5 1,0 0,7 0,3
8,4 6,0 4,2 2,7 1,3
Fuente: Instalaciones sanitarias en los edificios. Tatá, Gustavo.
Figura I.3. Detalle de un estanque elevado.
27,0 19,0 13,5 9,0 4,2
------35,0 16,5
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Figura I.4. Detalle de un estanque subterráneo.
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Tabla II.10. Cuadro resumen Gaceta Oficial, Capítulo VII, de las disposiciones de agua para Edificaciones (Dotaciones).
Artículo 109: Las dotaciones de agua para edificaciones destinadas a viviendas, se determinarán determinarán de acuerdo con lo que se estable a continuación: continuación: A.- Las dotaciones de agua para edificaciones destinadas a viviendas unifamiliares, unifamiliares, se determinarán en función del área total de la parcela o del lote donde la edificación va a ser construida o exista, de acuerdo con los siguientes valores área total de la parcela (m2) Dotación (L/día) Hasta 200 1.500 201 a 300 1.700 301 a 400 1.900 401 a 500 2.100 502 a 600 2.200 601 a 700 2.300 701 a 800 2.400 801 a 900 2.500 901 a 1.000 2.600 1.001 a 1.200 2.800 1.201 a 1.400 3.000 1.401 a 1.700 3.400 1.701 a 2.000 3.800 2.001 a 2.500 4.500 2.501 a 3.000 5.000
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Continuación Tabla II.10.
C.- Las dotaciones de agua para edificaciones destinadas a viviendas bifamiliares se determinarán de la siguiente manera: C.1.- Para la unidad de vivienda ubicada en la planta baja a nivel del lote o parcela, se determinará en función del área total de la parcela o del lote donde la edificación vaya a ser construida o exista, de acuerdo con las dotaciones correspondientes a las edificaciones destinadas a viviendas unifamiliares, según el aparte A de este capítulo. C.2.- Para la unidad de vivienda ubicada sobre la anterior, se aplicará los valores correspondientes a la dotación de agua para edificaciones destinadas a viviendas multifamiliares, multifamiliares, según el aparte B de este capítulo. Artículo 110: Las dotaciones de agua para edificaciones destinadas a instituciones de uso público o particular, se determinarán de acuerdo con lo que se indica a continuación: A.- Centros Asistenciales Asistenciales:: A.1.- Con hospitalización hospitalización 800 L/día/cama L/día/cama A.2.- Con consulta consulta externa externa 500 L/día/consultorio L/día/consultorio A.3.- Con clínicas clínicas dentales dentales 1.000 L/día/unidad L/día/unidad dental dental B.- Planteles Educacionales: Educacionales: B.1.- Con alumnado externo B.2.- Con alumnado semi-interno B.3.- Con alumnado interno o residente B.4.- Por personal residente en el plantel B.5.- Por personal no residente
40 L/alumno/día L/alumno/d ía 70 L/alumno/día L/alumno/d ía 200 L/alumno/día L/alumno/d ía 200 L/personal/día 50 L/personal/día
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Continuación tabla II.10.
E.- Supermercados, casas de abasto, locales comerciales de mercancía seca F.- Restaurantes G.- Bares, cervecerías, fuentes de soda y similares H.- Centros comerciales comerciales
20 L/día/m2 de área de venta 50 L/día/m 2 de área útil del local 60 L/día/m2 de área útil del loca 10 L/día/m2 de área bruta de construcción destinados a comercios 500 L/día/dormitorio 350 L/día/m2 de área destinada a dormitorio 25 L/día/m2 de área destinada a dormitorio 30 L/Kilo de ropa a lavar 40 L/Kilo de ropa a lavar
I.- Hoteles, moteles y similares similares J.- Pensiones K.- Hospedajes L.- Lavandería al seco, tintorería y similares M.- Lavandería (ropa en general) N.- Estaciones para lavado de vehículo a 2 L/día/m2 de estacionamiento cubierto motor O.- Estaciones para lavado de vehículo: O.1.- con equipo de lavado automático 12.800 L/día/equipo automático de lavado O.2.- con equipo de lavado no automático 8.000 L/día/equipo no automático de lavado P.- Bombas de gasolina 300 L/día/bomba instalada Q.- Para otras edificaciones edificaciones no especificadas A juicio de la autoridad sanitaria competente NOTA: Las dotaciones de agua señaladas no incluyen consumo de agua para riego de jardines, así como tampoco consumo de agua de servicios, instalaciones instalaciones o construcciones construcciones anexas, o complementarias de las edificaciones destinadas a comercios. De existir estas, las
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Continuación tabla II.10.
Artículo 113 : Las dotaciones de agua para edificaciones destinadas a fines recreacionales, deportivos, diversión y esparcimiento esparcimiento se determinarán determinarán con lo indicado a continuación: A.- Cines, teatros, auditorios auditorios y similares similares 3 L/día/asiento B.- Estadios, velódromos, plazas de toro, hipódromos, circos, parques de atracciones y 3 L/día/espectador similares C.- Cabaret, casinos, salas de baile y discotecas 30 L/día/m 2 del área neta del local D.- Parques 0,25 L/día/m2 E.- Piscinas: E.1.- con recirculación recirculación 10 L/día/m 2 del área de proyección horizontal de la piscina E.2.- sin recirculación 25 L/día/m 2 del área de proyección horizontal de la piscina E.3.- con flujo continuo 125 L/día/m2 del área de proyección horizontal de la piscina F.- Balnearios 50 L/día/usuario G.- Gimnasio 10 L/día/m 2 del área neta del local H.- Vestuarios y salas sanitarias en piscinas 30 L/día/m 2 del área de proyección horizontal de la piscina NOTA: Las dotaciones de agua señaladas no incluyen consumo de agua para riego de jardines y áreas verdes ni para las instalaciones instalaciones y servicios anexos o complementarios complementarios tales como: restaurantes, bares, cafeterías, lavanderías, lavanderías, oficinas, comercios, estacionamientos, estacionamientos, lavado de carros, carros, etc. Las dotaciones de agua para estas instalaciones y servicios se calcularán adicionalmente de acuerdo a lo estipulado para
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Tabla II.11. Pérdida de carga en los tubos en metros por metro de longitud de tubo. Caudal (L/s) 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90 1,00 1,20 1,40 1,60
Diámetro en pulgadas 3/4"
1”
0,045 0,10 0,16 0,25 0,35 0,45 0,60 0,70 0,80
0,015 0,03 0,05 0,075 0,11 0,14 0,18 0,22 0,27 0,35 0,50 0,60
1 ¼” 1 ½”
0,003 0,008 0,017 0,02 0,027 0,035 0,045 0,06 0,07 0,10 0,14 0,18
0,003 0,006 0,009 0,013 0,017 0,02 0,027 0,035 0,045 0,065 0,080
2”
2 ½”
3”
0,003 0,0045 0,006 0,008 0,010 0,012 0,015 0,022 0,03
0,001 0,002 0,002 0,0025 0,003 0,004 0,005 0,007 0,01
0,002 0,002 0,003 0,004
4”
5”
6”
8”
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Tabla II.12. Gastos probables en litros por segundo en función del número de Número de unidades de gasto 3 4 5 6 7 8 9 10 12 14 16 18 20 22
Gasto probable Piezas Piezas de de tanque válvula 0,20 0,26 0,38 0,42 0,46 0,49 0,53 0,57 0,63 0,70 0,76 0,83 0,89 0,96
No hay No hay 1,51 1,56 1,61 1,67 1,72 1,77 1,86 1,95 2,03 2,12 2,21 2,29
Número de unidades de gasto 205 210 215 220 225 230 235 240 245 250 255 260 265 270
unidades de gasto, Método de Hunter.
Gasto probable Piezas Piezas de de tanque válvula 4,23 4,29 4,34 4,39 4,42 4,45 4,50 4,54 4,59 4,64 4,71 4,78 4,86 4,93
5,70 5,76 5,80 5,84 5,92 6,00 6,10 6,20 6,31 6,37 6,43 6,48 6,54 6,60
Número de unidades de gasto 1250 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 1850 1900
Gasto probable Piezas Piezas de de tanque válvula 15,18 15,50 15,90 16,20 16,60 17,00 17,40 1 7,70 1 8,10 1 8,50 1 8,90 1 9,20 1 9,60 1 9,90
15,18 15,50 15,90 16,20 16,60 17,00 17,40 17,70 18,10 18,50 18,90 19,20 19,60 19,90
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Tabla II.13. Velocidades en tuberías en metros por segundo para gastos varios. Caudal (L/s) 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90 1,00 1,20 1,40
Diámetro en pulgadas 3/4"
1”
0,70 1,06 1,41 1,77 2,12 2,47 2,83 3,18 3,54
0,40 0,59 0,79 0,99 1,18 1,38 1,58 1,78 1,98 2,37 2,76
1 ¼” 1 ½”
0,37 0,50 0,63 0,76 0,88 1,01 1,14 1,26 1,52 1,77
0,44 0,53 0,61 0,70 0,79 0,88 1,05 1,23
2”
2 ½”
0,35 0,39 0,44 0,49 0,59 0,69
0,38 0,44
3”
4”
5”
6”
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Tabla II.15. Fórmulas para el cálculo de instalaciones i nstalaciones por bombeo y sistema hidroneumático.
Definición
Fórmula
Cota piezométrica (CPZ)
CPZ = cota piso + carga o presión
Pérdidas de en tramo (hf)
hf = J * L hf =
Fórmula de Hazen-Williams (hf)
1,22 1,2256 56 ∗ 10 c,8 ∗ D,8
∗ L ∗ Q,8
Q (L/s), D (mm), L(m) Fórmula de Darcy-Weisbach (hf)
hf =
∗ L ∗ V D∗2∗g
NPSH = 10,33 presión de vapor pérdidas
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Figura I.5. Detalle de un sistema hidroneumático.
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Tabla II.16. Factores de consumo en L/min y por pieza para el cálculo de sistemas hidroneumáticos para edificios de varias clases.
Clases de edificios
Hasta 30
Número de piezas De 31 De 76 De 151 De 301 a 75 a 150 a 300 a 600
De 601 a 1000
Más de 1000
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Figura I.6. Pérdidas y velocidades en tubería de distribución de agua en edificios.
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Figura I.7. Presiones y volúmenes en tanques hidroneumáticos.
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Figura I.8. Factor tanques hidroneumático.
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Tabla II.18. Factores de consumo para el cálculo de sistemas hidroneumáticos en residencias rurales. Número de piezas Hasta 5 de 6 a 10
Factor de consumo (L/min/pieza) 7,57 6,43
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