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BASE DE CALCULOS DETERMINANDO LA POBLACION DE DISEÑO CUADRO DE DATOS CENSALES DEL DISTRITO DE PAUCARCOLLA AÑO POBLACION 1981 3769 1993 4382 2005 4511 2007 4846 METODO DE CALCULO: POR EL METODO ARITMETICO PARA EL METODO GEOMETRICO POB. FUTURA Pf=Pa(1+r.t) POB. FUTURA Pf=Pa(1+r)ᶺt RAZON DE CA r=(Pf-Pa)/Pa.t RAZON DE CA r=((Pf/Pa)ᶺ(1/t))-1 PERIODO DE DISEÑO: PERIODO DE DISEÑO 2000 - 20000 Hab. 15 años 20000 a más Hab. 10años AÑOS BLACION CEN r r promedio . ARITMETIC r r promedio 1981 2000 0.10 0.05 2000.00 0.06755 0.03548 1993 4382 0.00 0.05 4382.00 0.00242 0.03548 2005 4511 0.04 0.05 4511.00 0.03647 0.03548 2007 4846 - 0.05 4846.00 - 0.03548 2008 - - 0.05 5070.26 - 0.03548 2009 - - 0.05 5294.53 - 0.03548 2010 - - 0.05 5518.79 - 0.03548 2011 - - 0.05 5743.06 - 0.03548 2012 - - 0.05 5967.32 - 0.03548 2013 - - 0.05 6191.59 - 0.03548 2014 - - 0.05 6415.85 - 0.03548 2015 - - 0.05 6640.11 - 0.03548 2016 - - 0.05 6864.38 - 0.03548 2017 - - 0.05 7088.64 - 0.03548 2018 - - 0.05 7312.91 - 0.03548 2019 - - 0.05 7537.17 - 0.03548 2020 - - 0.05 7761.44 - 0.03548 2021 - - 0.05 7985.70 - 0.03548

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Page 1: Base de Calculos Realizados

BASE DE CALCULOS

DETERMINANDO LA POBLACION DE DISEÑO

CUADRO DE DATOS CENSALES DEL DISTRITO DE PAUCARCOLLAAÑO POBLACION

1981 37691993 43822005 45112007 4846

METODO DE CALCULO:

POR EL METODO ARITMETICO PARA EL METODO GEOMETRICOPOB. FUTURA Pf=Pa(1+r.t) POB. FUTURA Pf=Pa(1+r)ᶺtRAZON DE C r=(Pf-Pa)/Pa.t RAZON DE C r=((Pf/Pa)ᶺ(1/t))-1

PERIODO DE DISEÑO:

PERIODO DE DISEÑO2000 - 20000 Hab. 15 años20000 a más Hab. 10años

AÑOS POBLACION CENSO r r promedioM. ARITMETICO r r promedioM. GEOMETRICO1981 2000 0.10 0.05 2000.00 0.06755 0.03548 20001993 4382 0.00 0.05 4382.00 0.00242 0.03548 43822005 4511 0.04 0.05 4511.00 0.03647 0.03548 45112007 4846 - 0.05 4846.00 - 0.03548 48462008 - - 0.05 5070.26 - 0.03548 50182009 - - 0.05 5294.53 - 0.03548 51962010 - - 0.05 5518.79 - 0.03548 53802011 - - 0.05 5743.06 - 0.03548 55712012 - - 0.05 5967.32 - 0.03548 57692013 - - 0.05 6191.59 - 0.03548 59732014 - - 0.05 6415.85 - 0.03548 61852015 - - 0.05 6640.11 - 0.03548 64052016 - - 0.05 6864.38 - 0.03548 66322017 - - 0.05 7088.64 - 0.03548 68672018 - - 0.05 7312.91 - 0.03548 71112019 - - 0.05 7537.17 - 0.03548 73632020 - - 0.05 7761.44 - 0.03548 76252021 - - 0.05 7985.70 - 0.03548 78952022 - - 0.05 8209.96 - 0.03548 81752023 - - 0.05 8434.23 - 0.03548 84652024 - - 0.05 8658.49 - 0.03548 8766

Page 2: Base de Calculos Realizados

2025 - - 0.05 8882.76 - 0.03548 90772026 - - 0.05 9107.02 - 0.03548 93992027 - - 0.05 9331.29 - 0.03548 97322028 - - 0.05 9555.55 - 0.03548 100772029 - - 0.05 9779.81 - 0.03548 10435

LA POBLACION DE DISEÑO ES:Pf= 10435

ENTONCES CALCULANDO EL CAUDAL MEDIO O DE DISEÑO, MAXIMO DIARIO Y MAXIMO HORARIO:

TABLA DE DOTACION DIARIA POR HAB. SEGÚN R.N.E.

POBLACION CLIMAFRIO TEMPLADO CALIDO

20000-10000 120 150 15010000-50000 150 200 200>50000 200 250 250Entonces la dotacion sera:

D= 150

1) Qm(lt/seg)= (POBLACION FUT.*DOTACION)/86400Qm(lt/seg)= (10435*150)/86400Qm(lt/seg)= 18.12

→ Qm(lt/seg)= 20

2) CAUDAL MAXIMO HORARIO Y DIADIROK1= 1.35K2= 1.80

Qmax-horario = k2*Qm Qmax-diario(lt/seg)= k1*QmQmax-horario(lt/seg) = 36.00 Qmax-diario(lt/seg)= 27

CALCULO Y DISEÑO DEL VOLUMEN DE ALMACENAMIENTO

CUADRO DE DATOS Y CALCULOS

HORA Qm (lt/seg)

1 5 20.00 1 100 20.00 1.3583 202 23 20.00 4.6 100 20.00 5.9583 403 25 20.00 5 100 20.00 10.9583 604 38 20.00 7.6 100 20.00 18.5583 805 49 20.00 9.8 100 20.00 28.3583 1006 58 20.00 11.6 100 20.00 39.9583 120

CONSUMO (%)

CONSUMO (lt/seg)

PRODUCCION (%)

PRODUCCION (lt/seg)

CONSUMO ACUM. (lt/seg)

PRODUCCION ACUM. (lt/seg)

Page 3: Base de Calculos Realizados

7 76 20.00 15.2 100 20.00 55.1583 1408 88 20.00 17.6 100 20.00 72.7583 1609 102 20.00 20.4 100 20.00 93.1583 180

10 147 20.00 29.4 100 20.00 122.5583 20011 199 20.00 39.8 100 20.00 162.3583 22012 213 20.00 42.6 100 20.00 204.9583 24013 235 20.00 47 100 20.00 251.9583 26014 191 20.00 38.2 100 20.00 290.1583 28015 152 20.00 30.4 100 20.00 320.5583 30016 139 20.00 27.8 100 20.00 348.3583 32017 93 20.00 18.6 100 20.00 366.9583 34018 118 20.00 23.6 100 20.00 390.5583 36019 123 20.00 24.6 100 20.00 415.1583 38020 94 20.00 18.8 100 20.00 433.9583 40021 78 20.00 15.6 100 20.00 449.5583 42022 47 20.00 9.4 100 20.00 458.9583 44023 26 20.00 5.2 100 20.00 464.1583 46024 5 20.00 1 100 20.00 465.1583 480

a) CALCULO DEL VOLUMEN DE REGULACION

Max. (+)= 87.2417Max. (-)= 35.1583

Vreg. (lt/seg.)= Max.(+) + Max.(-)= 122.4

Vreg. (lt/seg.)= K1* Vreg. , K1= 1.35= 1.35* Vreg.= 165.24

594.864

b) CALCULO DE VOLUMEN CONTRA INCENDIOSVel. De cada Hidrante (lt/seg.)= 16

Vc/i= Cant. * Tiempo * Vel. Del Hidrante= 0*2*16= 0

0

c) CALCULO DEL VOLUMEN DE RESERVA

Vres. = (1/3)(Vreg. + Vc/i)= 198.288

EXPRESADO EN m^3 = m^3

EXPRESADO EN m^3 = m^3

m^3

Page 4: Base de Calculos Realizados

d) FINALMENTE CALCULO DEL VOLUMEN DE ALMACENAMIENTOValm.= Vreg. + Vc/i + Vres.Valm.= 793.152

Valm.= 740 (Asumir)

CALCULO, DISEÑO Y COMPROBACION HIDRAULICA DE UNA RED DE DISTRIBUCION

TABLA DE DOTACION DIARIA POR HAB. SEGÚN R.N.E.

POBLACION CLIMAFRIO TEMPLADO CALIDO

20000-10000 120 150 15010000-50000 150 200 200>50000 200 250 250

A) CALCULO DEL CAUDAL PROMEDIO

1) EL CAUDAL MEDIO:Qm(lt/seg)= (POBLACION FUT.*DOTACION)/86400Qm(lt/seg)= (10435*150)/86400

Qm(lt/seg)= 18.12→ Qm(lt/seg)= 20.00

2) CAUDAL MAXIMO HORARIO Y DIARIO:K1= 1.35K2= 1.80

Qmax-horario = k2*Qm Qmax-diario(lt/seg)= k1*QmQmax-horario(lt/seg) = 36.00 Qmax-diario(lt/seg)= 27

B) DE LA RED Y LAS COTAS DE CADA NUDO SE TIENEN:

1) Asumiendo una perdida de carga minima de 1m, la gradiente hidraulica sera:S= 1/1000S= 0.001

2) Asumiendo de igual forma un coeficiente regular de Hazen - Williams igual a 140 para todas las tuberias de la red de distribucion:

a) Calculando la linea de aduccion:Q =

m^3

m^3

0.2785*C*(D˄2.63)*(S˄0.54)

Page 5: Base de Calculos Realizados

CUADRO DE DATOS C 140

0.02S (m/m) 0.001

LUEGO DE HACER OPERACIONES TENEMOS:D (m)= 0.23176518D (cm)= 23.1765185D (pulg.)= 9.27060739

ENTONCES:D (pulg.)= 10D (m)= 0.25

b) VERIFICANDO LA PRESION DE LLEGADA:Q =

S (m/m) = 0.00069152

LA PERDIDA DE CARGA SERA:Hf (m) = S*L

CUADRO DE DATOSS (m/m) 0.00069152L (m) 245

HACIENDO OPERACIONES TENDREMOS:Hf (m) = 0.16942238

ENTONCES LA PRESION EN EL PUNTO DE LLEGADA SERA COMO SIGUE:

CUADRO DE DATOS DEL TRAMOCOTA DE PARTIDACOTA DE LLEGADA H Hf

RESERVORIO - LLEGADA 3901.4 3881.75 19.65 0.16942238

PRESION DE LLEGADA= H - HfPRESION DE LLEGADA= 19.4805776

CUADRO DE DATOS DE CADA TRAMO CUADRO PARA EL DISEÑO DE DIAMETRO DE CADA TRAMO

CIRCUITO TRAMO L (m) COTA INICIALCOTA FINAL H (m) C CIRCUITO

III

AB 94.8593 3881.75 3870 11.75 140 IIIBT 204.2135 3870 3866.5 3.5 140TJ 276.3692 3866.5 3848.3 18.2 140AR 121.25 3881.75 3879.2 2.55 140RQ 108.5923 3879.2 3874.3 4.9 140

Q (m^3)

0.2785*C*(D˄2.63)*(S˄0.54)

Page 6: Base de Calculos Realizados

III

QS 180.1582 3874.3 3854.1 20.2 140SJ 243.6628 3854.1 3848.3 5.8 140

CIRCUITO TRAMO L (m) COTA INICIALCOTA FINAL H (m) C CIRCUITOI BC 209.7686 3870 3875 -5 140 I

CD 112.7078 3875 3875 0 140DT 255.6575 3875 3866.5 8.5 140BT 204.2135 3870 3866.5 3.5 140

CIRCUITO TRAMO L (m) COTA INICIALCOTA FINAL H (m) C CIRCUITOII DE 142.7974 3875 3863 12 140 II

EF 77.6155 3863 3867.41 -4.41 140FG 167.9258 3867.41 3865.75 1.66 140GH 146.0103 3865.75 3855.9 9.85 140DT 255.6575 3875 3866.5 8.5 140TH 221.5833 3866.5 3855.9 10.6 140

CIRCUITO TRAMO L (m) COTA INICIALCOTA FINAL H (m) C CIRCUITOIV TH 221.5833 3866.5 3855.9 10.6 140 IV

HI 266.6056 3855.9 3838.6 17.3 140IJ 127.0551 3838.6 3848.3 -9.7 140TJ 276.3692 3866.5 3848.3 18.2 140

CIRCUITO TRAMO L (m) COTA INICIALCOTA FINAL H (m) C CIRCUITOV QS 180.1582 3874.3 3854.1 20.2 140 V

SN 174.928 3854.1 3845.7 8.4 140QP 129.7641 3874.3 3859.65 14.65 140PO 105.6991 3859.65 3849.9 9.75 140ON 87.3442 3849.9 3845.7 4.2 140

CIRCUITO TRAMO L (m) COTA INICIALCOTA FINAL H (m) C CIRCUITOVI SJ 243.6628 3854.1 3848.3 5.8 140 VI

JK 250.86 3848.3 3836.7 11.6 140SN 174.928 3854.1 3845.7 8.4 140NM 145.2295 3845.7 3842.3 3.4 140ML 118.279 3842.3 3840.4 1.9 140LK 100.7299 3840.4 3836.7 3.7 140

Page 7: Base de Calculos Realizados

M. GEOMETRICO

Page 8: Base de Calculos Realizados

NO IMPRIMIR ESTA PARTE FALTA REALIZAR CALCULOS

CALCULO DE LAS LINEAS DE IMPULSION

A) EL CAUDAL DE BOMBEO

Qmax-diario(lt/seg)=

→ Qb (m^3/seg)Qb (lt/seg) =

B) DETERMINACION DE LA ALTURA DINAMICA TOTAL:Hdt=

hs + hi =

→hs + hi =CUADRO DE DATOS Y CALCULOS

18.6417 1°)34.041749.0417 Pero sabemos que:61.441771.641780.0417 V (lt/seg.) =

Qb (m^3/seg)=

→hs + hi =

DIFERENCIA (lt/seg)

Q=0.2785*C*D^2.63*S^0.54

V*(π*D^2/4)=

Page 9: Base de Calculos Realizados

84.841787.2417 Suponiendo:86.841777.4417 y sabiendo qu57.641735.0417 Ademas:

8.0417-10.1583-20.5583 Realizando calculos obtendremos lo siguiente:-28.3583 S (m/m) =-26.9583-30.5583 Ahora reemplazamos las ecuaciones (3), (4) y (5) en la ecuacion (2):-35.1583 D (m) =-33.9583 D (m) =-29.5583 D (cm) =-18.9583 D (pulg)=

-4.158314.8417

2° )

Asumimos que V (lt/seg.)=

3° )

4° )

Page 10: Base de Calculos Realizados

5° )

Q (lt./seg.)= Sabiendo que

Resolviendo obtenemos:S (m/km) =S (m/km) =

Ademas:hf (m) =hf (m) =

6° )

Asumiendo de igual forma un coeficiente regular de Hazen - Williams igual a 140 para todas las tuberias de la red de distribucion:

Page 11: Base de Calculos Realizados

A CONTINUACION REALIZAREMOS EL CALCULO DE LAS PERDIDAS DE CARGA PORCADA TIPO DE MATERIAL UZADO, LOS CALCULOS Y DETALLES LO TRABAJAREMOS DIRECTAMENTE SEGÚN LA FORMULA (7):

CUADRO DE DATOS Y CALCULOS DE hfDESCRIPCION

BOMBAVALVULA CHECKCODOS DE 45°CODOS DE 90°

CODO DE CURBATURA DE RADIO MEDIOCODO DE CURBATURA DE RADIO LARGO

VALVULA REGULADORA DE PRESIONVALVULA DE COMPUERTA

PARA HALLAR "Hdt" REEMPLAZAMOS LAS ECUACIONES (*), (6)y (8) EN LA ECUACION (1)Hdt=Hdt=

FINALMENTE LA POTENCIA DE LA BOMBA SERA COMO SIGUE:Potencia(HP)

Donde:

Tras realizar los calculos respectivos obtenemos lo siguiente:

Potencia(HP)(Q*Hdt*ɤ)/(76*ε)Potencia(HP) 63.2641727

CUADRO PARA EL DISEÑO DE DIAMETRO DE CADA TRAMO

TRAMO L (m) H (m) hf (m) S (m/m) Q (lt/seg) ɸ calc. (pulg)ɸ (pulg)AB 94.8593 11.75 4.1 0.00431578 10 5.27540384 4BT 204.2135 3.5 4.1 0.00431578 3 3.33766312 3TJ 276.3692 18.2 4.1 0.00431578 3 3.33766312 3AR 121.25 2.55 4.1 0.00431578 10 5.27540384 4RQ 108.5923 4.9 4.1 0.00431578 9.5 5.17351365 4

(Q*Hdt*ɤ)/(76*ε)

Page 12: Base de Calculos Realizados

QS 180.1582 20.2 4.1 0.00431578 4 3.72346884 3SJ 243.6628 5.8 4.1 0.00431578 2 2.860801 2

TRAMO L (m) H (m) hf (m) S (m/m) Q (lt/seg) ɸ calc. (pulg)ɸ (pulg)BC 209.7686 -5 4.1 0.00431578 7 4.60635736 4CD 112.7078 0 4.1 0.00431578 6.5 4.47837138 4DT 255.6575 8.5 4.1 0.00431578 2 2.860801 2BT 204.2135 3.5 4.1 0.00431578 3 3.33766312 3

TRAMO L (m) H (m) hf (m) S (m/m) Q (lt/seg) ɸ calc. (pulg)ɸ (pulg)DE 142.7974 12 4.1 0.00431578 4 3.72346884 3EF 77.6155 -4.41 4.1 0.00431578 3.5 3.53913846 3FG 167.9258 1.66 4.1 0.00431578 3 3.33766312 3GH 146.0103 9.85 4.1 0.00431578 2 2.860801 2DT 255.6575 8.5 4.1 0.00431578 2 2.860801 2TH 221.5833 10.6 4.1 0.00431578 2 2.860801 2

TRAMO L (m) H (m) hf (m) S (m/m) Q (lt/seg) ɸ calc. (pulg)ɸ (pulg)TH 221.5833 10.6 4.1 0.00431578 2 2.860801 2HI 266.6056 17.3 4.1 0.00431578 3 3.33766312 3IJ 127.0551 -9.7 4.1 0.00431578 2 2.860801 2TJ 276.3692 18.2 4.1 0.00431578 3 3.33766312 2

TRAMO L (m) H (m) hf (m) S (m/m) Q (lt/seg) ɸ calc. (pulg)ɸ (pulg)QS 180.1582 20.2 4.1 0.00431578 4 3.72346884 3SN 174.928 8.4 4.1 0.00431578 2 2.860801 2QP 129.7641 14.65 4.1 0.00431578 5 4.05317763 3PO 105.6991 9.75 4.1 0.00431578 4.5 3.89401259 3ON 87.3442 4.2 4.1 0.00431578 4 3.72346884 3

TRAMO L (m) H (m) hf (m) S (m/m) Q (lt/seg) ɸ calc. (pulg)ɸ (pulg)SJ 243.6628 5.8 4.1 0.00431578 2 2.860801 2JK 250.86 11.6 4.1 0.00431578 5 4.05317763 4SN 174.928 8.4 4.1 0.00431578 2 2.860801 2NM 145.2295 3.4 4.1 0.00431578 5 4.05317763 4ML 118.279 1.9 4.1 0.00431578 4 3.72346884 3LK 100.7299 3.7 4.1 0.00431578 3 3.33766312 3

Page 13: Base de Calculos Realizados

NO IMPRIMIR ESTA PARTE FALTA REALIZAR CALCULOS

CALCULO DE LAS LINEAS DE IMPULSION

EL CAUDAL DE BOMBEOQmax_diario*(24/N)

Donde, N: Es el numero de horas de bombeoN= 10

Qmax-diario(lt/seg)= 27

0.064864.8

DETERMINACION DE LA ALTURA DINAMICA TOTAL:hs + hi + hf ……………(1)

Carga Estatica CUADRO DE DATOShs= 3851.6hi= 3901.4

49.849.8 m.c.a. …………….(*)

POR HAZEM WILLIAMS SE TIENE QUE:

Pero sabemos que: Q=V*A

0.2785*C*D^2.63*S^0.54……………(2)

Q=0.2785*C*D^2.63*S^0.54

Q=V*(π*D^2/4)

0.3546*C*D^0.63*S^0.54

Page 14: Base de Calculos Realizados

V (lt/seg)= 2 ……………(3)

S = H/L

H (m) = 49.8L (m) = 760.5157C = 140 ……………..(4)

Realizando calculos obtendremos lo siguiente:0.06548188 ……………..(5)

Ahora reemplazamos las ecuaciones (3), (4) y (5) en la ecuacion (2):0.0632014

0.0552

POR MANING:V = ;R = D/4

Asumimos que V (lt/seg.)= 2

Tambien se sabe que:n = 0.01

Entonces tenemos que:D (m) = 0.10293116D (m) = 0.1

D (cm) = 10D (pulg.) = 4

POR LA ECUACION DE CONTINUIDAD:Q = V*AA = Qb/V(π*D^2)/4= Qb/V

Teniendo como datos: 0.0648V(m/seg.) = 2

Obtenemos lo siguiente:D (m) = 0.20310825D (m) = 0.2D (cm) = 20D (pulg.) = 8

ASUMIMOS:

(1/n)*(R^(2/3))*(S^0.54)

Qb(m^3/seg)=

Page 15: Base de Calculos Realizados

D (m) = 0.2D (cm) = 20D (pulg.) = 8

DETERMINAMOS EL hf :

0.004264*C*D^2.63*S^0.54

L (km.) = 0.7605157Q (lt/seg) = 64.8C 140D (pulg) = 8

Resolviendo obtenemos:((Q)/(0.004264*C*(D^2.63)))^(1/0.54)0.23512676

S*L0.17881759 ……..…….(6)

HALLANDO LAS PERDIDAS DE CARGAS LOCALES:Para hallar las perdidas de cargas primero necesitamos:

V (m/seg)= Q / APara: 0.0648

D (m) = 0.2Realizando calculos obtenemos que:V (m/seg)= 2.06264806

PARA DETERMINAR LAS "hf" UTILIZAREMOS LA SGTE. RELACION:

hf = ……………(7)

Donde:K Es el coeficiente de acuerdo al tipo de materialv Es la velocidad en (m/seg)g

VALORES QUE ASUME LA VARIABLE "K"DESCRIPCION VALOR DE K

BOMBA 1.75VALVULA CHECK 1.75CODOS DE 45° 0.42CODOS DE 90° 0.9

CODO DE CURBATURA DE RADIO MEDIO 0.75CODO DE CURBATURA DE RADIO LARGO 0.6

Q (m^3/seg)=

(K * V^2)/(2g)

Es la aceleracion de la gravedad en (m/seg^2)

Page 16: Base de Calculos Realizados

VALVULA REGULADORA DE PRESION 1VALVULA DE COMPUERTA 1

A CONTINUACION REALIZAREMOS EL CALCULO DE LAS PERDIDAS DE CARGA PORCADA TIPO DE MATERIAL UZADO, LOS CALCULOS Y DETALLES LO TRABAJAREMOS DIRECTAMENTE SEGÚN LA FORMULA (7):

CUADRO DE DATOS Y CALCULOS DE hfDESCRIPCION K V (m/seg.) CANTIDAD hf

BOMBA 1.75 2.06264806 1 0.37948037VALVULA CHECK 1.75 2.06264806 1 0.37948037CODOS DE 45° 0.42 2.06264806 2 0.18215058CODOS DE 90° 0.9 2.06264806 3 0.58548399

CODO DE CURBATURA DE RADIO MEDIO 0.75 2.06264806 0 0CODO DE CURBATURA DE RADIO LARGO 0.6 2.06264806 0 0

VALVULA REGULADORA DE PRESION 1 2.06264806 1 0.21684592VALVULA DE COMPUERTA 1 2.06264806 1 0.21684592

Ʃhf = 1.96028715

hf (m) = 1.96028715 …………….(8)

PARA HALLAR "Hdt" REEMPLAZAMOS LAS ECUACIONES (*), (6)y (8) EN LA ECUACION (1)hs + hi + hf51.9391047

FINALMENTE LA POTENCIA DE LA BOMBA SERA COMO SIGUE:

0.0648Hdt 51.9391047ɤ 1000ε 0.7

Tras realizar los calculos respectivos obtenemos lo siguiente:

(Q*Hdt*ɤ)/(76*ε)H.P.

PARA LA COMPROBACION POR EL METODO DE HARDY CROSS

CUADRO PARA EL DISEÑO DE DIAMETRO DE CADA TRAMO CUADRO DE LA PRIMERA CORRECCION PARA CADA TRAMOREVISAR DEFINIRV (m/seg) ɸ Asum. (pulgV (m/seg) CIRCUITO TRAMO SENTIDO Long. (m)1.27323954 4 1.27323954 III AB 1 94.85930.67906109 3 0.67906109 BT 1 204.21350.67906109 3 0.67906109 TJ 1 276.36921.27323954 4 1.27323954 AR -1 121.251.20957757 4 1.20957757 RQ -1 108.5923

(Q*Hdt*ɤ)/(76*ε)

Qb(m^3/seg)

Page 17: Base de Calculos Realizados

0.90541479 3 0.90541479 QS -1 180.15821.01859164 2 1.01859164 SJ -1 243.6628

V (m/seg) ɸ Asum. (pulgV (m/seg) CIRCUITO TRAMO SENTIDO Long. (m)0.89126768 4 0.89126768 I BC 1 209.7686

0.8276057 4 0.8276057 CD 1 112.70781.01859164 2 1.01859164 DT 1 255.65750.67906109 3 0.67906109 BT -1 204.2135

V (m/seg) ɸ Asum. (pulgV (m/seg) CIRCUITO TRAMO SENTIDO Long. (m)0.90541479 3 0.90541479 II DE 1 142.79740.79223794 3 0.79223794 EF 1 77.61550.67906109 3 0.67906109 FG 1 167.92581.01859164 2 1.01859164 GH 1 146.01031.01859164 2 1.01859164 DT -1 255.65751.01859164 2 1.01859164 TH -1 221.5833

V (m/seg) ɸ Asum. (pulgV (m/seg) CIRCUITO TRAMO SENTIDO Long. (m)1.01859164 2 1.01859164 IV TH 1 221.58330.67906109 3 0.67906109 HI 1 266.60561.01859164 2 1.01859164 IJ 1 127.05511.52788745 2 1.52788745 TJ -1 276.3692

V (m/seg) ɸ Asum. (pulgV (m/seg) CIRCUITO TRAMO SENTIDO Long. (m)0.90541479 3 0.90541479 V QS 1 180.15821.01859164 2 1.01859164 SN 1 174.9281.13176848 3 1.13176848 QP -1 129.76411.01859164 3 1.01859164 PO -1 105.69910.90541479 3 0.90541479 ON -1 87.3442

V (m/seg) ɸ Asum. (pulgV (m/seg) CIRCUITO TRAMO SENTIDO Long. (m)1.01859164 2 1.01859164 VI SJ 1 243.66280.63661977 4 0.63661977 JK 1 250.861.01859164 2 1.01859164 SN -1 174.9280.63661977 4 0.63661977 NM -1 145.22950.90541479 3 0.90541479 ML -1 118.2790.67906109 3 0.67906109 LK -1 100.7299

Page 18: Base de Calculos Realizados

PARA LA COMPROBACION POR EL METODO DE HARDY CROSS

CUADRO DE LA PRIMERA CORRECCION PARA CADA TRAMO

C Qo (lt/seg.) Qo con Senti ɸo (pulg.) So Ho Ho/Qo Δ Qo140 10 10 4 0.01661334 1.57592987 0.15759299 0.70241058140 3 3 3 0.00725539 1.48164912 0.49388304 0.70241058140 3 3 3 0.00725539 2.00516706 0.66838902 0.70241058140 10 -10 4 0.01661334 -2.01436756 0.20143676 0.70241058140 9.5 -9.5 4 0.01510791 -1.6406027 0.17269502 0.70241058

Page 19: Base de Calculos Realizados

140 4 -4 3 0.0123603 -2.22680909 0.55670227 0.70241058140 2 -2 2 0.02467151 -6.01152804 3.00576402 0.70241058

-6.83056133 5.25646312 0.70241058

C Qo (lt/seg.) Qo con Senti ɸo (pulg.) So Ho Ho/Qo Δ Qo140 7 7 4 0.00858226 1.80028793 0.25718399 -1.00073273140 6.5 6.5 4 0.0074817 0.84324582 0.12973013 -1.00073273140 2 2 2 0.02467151 6.30745534 3.15372767 -1.00073273140 3 -3 3 0.00725539 -1.48164912 0.49388304 -1.00073273

7.46933997 4.03452483 -1.00073273

C Qo (lt/seg.) Qo con Senti ɸo (pulg.) So Ho Ho/Qo Δ Qo140 4 4 3 0.0123603 1.76501846 0.44125461 0.27425752140 3.5 3.5 3 0.00965243 0.74917783 0.21405081 0.27425752140 3 3 3 0.00725539 1.21836761 0.40612254 0.27425752140 2 2 2 0.02467151 3.60229388 1.80114694 0.27425752140 2 -2 2 0.02467151 -6.30745534 3.15372767 0.27425752140 2 -2 2 0.02467151 -5.46679354 2.73339677 0.27425752

-4.43939111 8.74969934 0.27425752

C Qo (lt/seg.) Qo con Senti ɸo (pulg.) So Ho Ho/Qo Δ Qo140 2 2 2 0.02467151 5.46679354 2.73339677 0.21659537140 3 3 3 0.00725539 1.93432831 0.6447761 0.21659537140 2 2 2 0.02467151 3.13464056 1.56732028 0.21659537140 3 -3 2 0.05227458 -14.4470845 4.81569482 0.21659537

-3.91132206 9.76118797 0.21659537

C Qo (lt/seg.) Qo con Senti ɸo (pulg.) So Ho Ho/Qo Δ Qo140 4 4 3 0.0123603 2.22680909 0.55670227 -0.19945359140 2 2 2 0.02467151 4.31573706 2.15786853 -0.19945359140 5 -5 3 0.01868495 -2.42463571 0.48492714 -0.19945359140 4.5 -4.5 3 0.0153729 -1.62490185 0.3610893 -0.19945359140 4 -4 3 0.0123603 -1.07960036 0.26990009 -0.19945359

1.41340822 3.83048734 -0.19945359

C Qo (lt/seg.) Qo con Senti ɸo (pulg.) So Ho Ho/Qo Δ Qo140 2 2 2 0.02467151 6.01152804 3.00576402 0.000955140 5 5 4 0.0046025 1.15458373 0.23091675 0.000955140 2 -2 2 0.02467151 -4.31573706 2.15786853 0.000955140 5 -5 4 0.0046025 -0.66841911 0.13368382 0.000955140 4 -4 3 0.0123603 -1.46196372 0.36549093 0.000955140 3 -3 3 0.00725539 -0.73083497 0.24361166 0.000955

-0.0108431 6.13733571 0.000955

Page 20: Base de Calculos Realizados

CUADRO DE LA PRIMERA CORRECCION PARA CADA TRAMO CUADRO DE LA SEGUNDA CORRECCION PARA CADA TRAMO

CORRECCIONQ - 1 CIRCUITO TRAMO SENTIDO Long. (m) C10.7024106 III AB 1 94.8593 140

-1.00073273 2.70167785 BT 1 204.2135 1400.21659537 3.91900595 TJ 1 276.3692 140

-9.29758942 AR -1 121.25 140-8.79758942 RQ -1 108.5923 140

Page 21: Base de Calculos Realizados

-0.19945359 -3.49704301 QS -1 180.1582 1400.000955 -1.29663442 SJ -1 243.6628 140

CORRECCIONQ - 1 CIRCUITO TRAMO SENTIDO Long. (m) C5.99926727 I BC 1 209.7686 1405.49926727 CD 1 112.7078 140

0.27425752 1.27352479 DT 1 255.6575 1400.70241058 -3.29832215 BT -1 204.2135 140

CORRECCIONQ - 1 CIRCUITO TRAMO SENTIDO Long. (m) C4.27425752 II DE 1 142.7974 1403.77425752 EF 1 77.6155 1403.27425752 FG 1 167.9258 1402.27425752 GH 1 146.0103 140

-1.00073273 -2.72647521 DT -1 255.6575 1400.21659537 -1.50914711 TH -1 221.5833 140

CORRECCIONQ - 1 CIRCUITO TRAMO SENTIDO Long. (m) C0.27425752 2.4908529 IV TH 1 221.5833 140

3.21659537 HI 1 266.6056 1402.21659537 IJ 1 127.0551 140

0.70241058 -2.08099405 TJ -1 276.3692 140

CORRECCIONQ - 1 CIRCUITO TRAMO SENTIDO Long. (m) C0.70241058 4.50295699 V QS 1 180.1582 140

1.80054641 SN 1 174.928 140-5.19945359 QP -1 129.7641 140-4.69945359 PO -1 105.6991 140-4.19945359 ON -1 87.3442 140

CORRECCIONQ - 1 CIRCUITO TRAMO SENTIDO Long. (m) C0.70241058 2.70336558 VI SJ 1 243.6628 140

5.000955 JK 1 250.86 140-1.999045 SN -1 174.928 140-4.999045 NM -1 145.2295 140-3.999045 ML -1 118.279 140-2.999045 LK -1 100.7299 140

Page 22: Base de Calculos Realizados

CUADRO DE LA SEGUNDA CORRECCION PARA CADA TRAMOSON IGUALESLADOS IGUALES

Q1 (lt/seg.) Q1 con Senti ɸ1 (pulg.) S1 H1 H1/Q1 Δ Q1 CORRECCION10.7024106 10.7024106 4 0.01883877 1.78703253 0.16697477 -0.038240242.70167785 2.70167785 3 0.00597619 1.22041883 0.45172626 -0.03824024 -0.020150353.91900595 3.91900595 3 0.01190082 3.28902076 0.83924873 -0.03824024 0.030393439.29758942 -9.29758942 4 0.01451722 -1.76021338 0.18931933 -0.038240248.79758942 -8.79758942 4 0.01310469 -1.42306848 0.16175664 -0.03824024

Page 23: Base de Calculos Realizados

3.49704301 -3.49704301 3 0.00963733 -1.73624389 0.49648914 -0.03824024 -0.05434551.29663442 -1.29663442 2 0.01105743 -2.69428359 2.07790534 -0.03824024 -0.16454972

-1.31733722 4.3834202 0.16244716

Q1 (lt/seg.) Q1 con Senti ɸ1 (pulg.) S1 H1 H1/Q1 Δ Q1 CORRECCION5.99926727 5.99926727 4 0.00644953 1.35290783 0.22551218 -0.020150355.49926727 5.49926727 4 0.00548959 0.61871972 0.11250948 -0.020150351.27352479 1.27352479 2 0.01069525 2.73432029 2.14704912 -0.02015035 0.374293513.29832215 -3.29832215 3 0.00864779 -1.76599501 0.53542223 -0.02015035 -0.03824024

2.93995283 3.02049302 -0.52612725

Q1 (lt/seg.) Q1 con Senti ɸ1 (pulg.) S1 H1 H1/Q1 Δ Q1 CORRECCION4.27425752 4.27425752 3 0.01397538 1.99564766 0.46689926 0.374293513.77425752 3.77425752 3 0.01109966 0.86150546 0.22825826 0.374293513.27425752 3.27425752 3 0.00853131 1.43262697 0.43754254 0.374293512.27425752 2.27425752 2 0.03130018 4.57014872 2.00951241 0.374293512.72647521 -2.72647521 2 0.04379275 -11.1959454 4.10638078 0.37429351 -0.020150351.50914711 -1.50914711 2 0.01464593 -3.24529451 2.15041629 0.37429351 0.03039343

-5.58131109 9.39900954 0.32098328

Q1 (lt/seg.) Q1 con Senti ɸ1 (pulg.) S1 H1 H1/Q1 Δ Q1 CORRECCION2.4908529 2.4908529 2 0.03704338 8.20819457 3.29533494 0.03039343 0.37429351

3.21659537 3.21659537 3 0.00825517 2.20087477 0.68422494 0.030393432.21659537 2.21659537 2 0.02984645 3.79214412 1.71079673 0.030393432.08099405 -2.08099405 2 0.02655358 -7.33859251 3.52648414 0.03039343 -0.03824024

6.86262096 9.21684076 -0.40247249

Q1 (lt/seg.) Q1 con Senti ɸ1 (pulg.) S1 H1 H1/Q1 Δ Q1 CORRECCION4.50295699 4.50295699 3 0.01539161 2.77292539 0.61580099 -0.0543455 -0.038240241.80054641 1.80054641 2 0.02030971 3.5527364 1.97314347 -0.05434555.19945359 -5.19945359 3 0.02008865 -2.60678494 0.50135748 -0.05434554.69945359 -4.69945359 3 0.01665847 -1.76078564 0.3746788 -0.05434554.19945359 -4.19945359 3 0.01352582 -1.18140234 0.28132287 -0.0543455

0.77668886 3.74630362 -0.11206561

Q1 (lt/seg.) Q1 con Senti ɸ1 (pulg.) S1 H1 H1/Q1 Δ Q1 CORRECCION2.70336558 2.70336558 2 0.04310785 10.5037793 3.88544538 -0.16454972 -0.03824024

5.000955 5.000955 4 0.00460413 1.15499215 0.23095432 -0.164549721.999045 -1.999045 2 0.02464969 -4.31192162 2.15699077 -0.164549724.999045 -4.999045 4 0.00460087 -0.66818271 0.13366207 -0.164549723.999045 -3.999045 3 0.01235483 -1.46131741 0.3654166 -0.164549722.999045 -2.999045 3 0.00725112 -0.7304042 0.2435456 -0.16454972

4.48694549 7.01601473 -0.3456914

Page 24: Base de Calculos Realizados

CUADRO DE LA SEGUNDA CORRECCION PARA CADA TRAMO CUADRO DE LA TERCERA CORRECCION PARA CADA TRAMOLADOS IGUALES

Q - 2 CIRCUITO TRAMO SENTIDO Long. (m) C Q2 (lt/seg.)10.6641703 III AB 1 94.8593 140 10.66417032.64328726 BT 1 204.2135 140 2.643287263.91115914 TJ 1 276.3692 140 3.91115914

-9.33582966 AR -1 121.25 140 9.33582966-8.83582966 RQ -1 108.5923 140 8.83582966

Page 25: Base de Calculos Realizados

-3.58962875 QS -1 180.1582 140 3.58962875-1.49942438 SJ -1 243.6628 140 1.49942438

Q - 2 CIRCUITO TRAMO SENTIDO Long. (m) C Q2 (lt/seg.)5.97911692 I BC 1 209.7686 140 5.979116925.47911692 CD 1 112.7078 140 5.479116921.62766796 DT 1 255.6575 140 1.62766796

-3.35671274 BT -1 204.2135 140 3.35671274

Q - 2 CIRCUITO TRAMO SENTIDO Long. (m) C Q2 (lt/seg.)4.64855104 II DE 1 142.7974 140 4.648551044.14855104 EF 1 77.6155 140 4.148551043.64855104 FG 1 167.9258 140 3.648551042.64855104 GH 1 146.0103 140 2.64855104

-2.37233204 DT -1 255.6575 140 2.37233204-1.10446016 TH -1 221.5833 140 1.10446016

Q - 2 CIRCUITO TRAMO SENTIDO Long. (m) C Q2 (lt/seg.)2.89553984 IV TH 1 221.5833 140 2.89553984

3.2469888 HI 1 266.6056 140 3.24698882.2469888 IJ 1 127.0551 140 2.2469888

-2.08884086 TJ -1 276.3692 140 2.08884086

Q - 2 CIRCUITO TRAMO SENTIDO Long. (m) C Q2 (lt/seg.)4.41037125 V QS 1 180.1582 140 4.410371251.74620091 SN 1 174.928 140 1.74620091

-5.25379909 QP -1 129.7641 140 5.25379909-4.75379909 PO -1 105.6991 140 4.75379909-4.25379909 ON -1 87.3442 140 4.25379909

Q - 2 CIRCUITO TRAMO SENTIDO Long. (m) C Q2 (lt/seg.)2.50057562 VI SJ 1 243.6628 140 2.500575624.83640528 JK 1 250.86 140 4.83640528

-2.16359472 SN -1 174.928 140 2.16359472-5.16359472 NM -1 145.2295 140 5.16359472-4.16359472 ML -1 118.279 140 4.16359472-3.16359472 LK -1 100.7299 140 3.16359472

Page 26: Base de Calculos Realizados

CUADRO DE LA TERCERA CORRECCION PARA CADA TRAMOSON IGUALESLADOS IGUALES

Q2 con Senti ɸ2 (pulg.) S2 H2 H2/Q2 Δ Q2 CORRECCIONQ - 310.6641703 4 0.01871431 1.77522616 0.16646641 8.68E-01 11.53172112.64328726 3 0.00573921 1.17202347 0.44339618 8.68E-01 1.15E-02 3.522348063.91115914 3 0.01185673 3.27683592 0.83781708 8.68E-01 -0.20696603 4.57174387

-9.33582966 4 0.01462799 -1.77364356 0.18998243 8.68E-01 -8.4682789-8.83582966 4 0.01321037 -1.43454452 0.16235538 8.68E-01 -7.9682789

Page 27: Base de Calculos Realizados

-3.58962875 3 0.01011516 -1.82232815 0.5076648 8.68E-01 -0.00020014 -2.72227813-1.49942438 2 0.01447168 -3.5262099 2.35170906 8.68E-01 6.02E-06 -0.6318676

-2.33264057 4.65939133 0.27061191

Q2 con Senti ɸ2 (pulg.) S2 H2 H2/Q2 Δ Q2 CORRECCIONQ - 35.97911692 4 0.00640947 1.34450478 0.22486678 1.15E-02 5.990626955.47911692 4 0.0054524 0.61452793 0.11215821 1.15E-02 5.490626951.62766796 2 0.01684695 4.30704861 2.64614696 1.15E-02 0.9122925 2.55147049

-3.35671274 3 0.00893343 -1.82432677 0.54348612 1.15E-02 8.68E-01 -2.477651944.44175455 3.52665806 -0.68079989

Q2 con Senti ɸ2 (pulg.) S2 H2 H2/Q2 Δ Q2 CORRECCIONQ - 34.64855104 3 0.01632587 2.33129204 0.5015094 0.9122925 5.560843544.14855104 3 0.01322378 1.0263705 0.24740457 0.9122925 5.060843543.64855104 3 0.01042478 1.75058909 0.47980392 0.9122925 4.560843542.64855104 2 0.04150319 6.05989325 2.2880032 0.9122925 3.56084354

-2.37233204 2 0.03384559 -8.65287894 3.64741477 0.9122925 1.15E-02 -1.44852951-1.10446016 2 0.00821562 -1.8204436 1.64826552 0.9122925 -0.20696603 -0.3991337

0.69482234 8.81240138 -0.04261944

Q2 con Senti ɸ2 (pulg.) S2 H2 H2/Q2 Δ Q2 CORRECCIONQ - 32.89553984 2 0.04895391 10.8473694 3.74623386 -0.20696603 0.9122925 3.6008663

3.2469888 3 0.0084002 2.23954069 0.68972849 -0.20696603 3.040022772.2469888 2 0.03060874 3.8889968 1.73075932 -0.20696603 2.04002277

-2.08884086 2 0.0267393 -7.38991861 3.53780834 -0.20696603 8.68E-01 -1.428256139.58598826 9.70453001 -0.53393779

Q2 con Senti ɸ2 (pulg.) S2 H2 H2/Q2 Δ Q2 CORRECCIONQ - 34.41037125 3 0.0148107 2.66826876 0.60499868 -0.00020014 8.68E-01 5.277721871.74620091 2 0.01918913 3.35671627 1.92229671 -0.00020014 1.74600077

-5.25379909 3 0.02047921 -2.65746598 0.50581797 -0.00020014 -5.25399923-4.75379909 3 0.01701697 -1.79867887 0.37836661 -0.00020014 -4.75399923-4.25379909 3 0.01385176 -1.20987058 0.28442119 -0.00020014 -4.25399923

0.35896961 3.69590116 -0.05250076

Q2 con Senti ɸ2 (pulg.) S2 H2 H2/Q2 Δ Q2 CORRECCIONQ - 32.50057562 2 0.03731159 9.09144715 3.63574174 6.02E-06 8.68E-01 3.36813244.83640528 4 0.00432753 1.08560327 0.22446491 6.02E-06 4.83641129

-2.16359472 2 0.02853835 -4.99215612 2.30734345 6.02E-06 -2.16358871-5.16359472 4 0.00488525 -0.70948255 0.1374009 6.02E-06 -5.16358871-4.16359472 3 0.01331272 -1.57461535 0.37818651 6.02E-06 -4.16358871-3.16359472 3 0.00800505 -0.80634754 0.25488332 6.02E-06 -3.16358871

2.09444886 6.93802083 -0.16317831

Page 28: Base de Calculos Realizados

CUADRO DE LA CUARTA CORRECCION PARA CADA TRAMO

CIRCUITO TRAMO SENTIDO Long. (m) C Q3 (lt/seg.) Q3 con SentiIII AB 1 94.8593 140 11.5317211 11.5317211

BT 1 204.2135 140 3.52234806 3.52234806TJ 1 276.3692 140 4.57174387 4.57174387AR -1 121.25 140 8.4682789 -8.4682789RQ -1 108.5923 140 7.9682789 -7.9682789

Page 29: Base de Calculos Realizados

QS -1 180.1582 140 2.72227813 -2.72227813SJ -1 243.6628 140 0.6318676 -0.6318676

CIRCUITO TRAMO SENTIDO Long. (m) C Q3 (lt/seg.) Q3 con SentiI BC 1 209.7686 140 5.99062695 5.99062695

CD 1 112.7078 140 5.49062695 5.49062695DT 1 255.6575 140 2.55147049 2.55147049BT -1 204.2135 140 2.47765194 -2.47765194

CIRCUITO TRAMO SENTIDO Long. (m) C Q3 (lt/seg.) Q3 con SentiII DE 1 142.7974 140 5.56084354 5.56084354

EF 1 77.6155 140 5.06084354 5.06084354FG 1 167.9258 140 4.56084354 4.56084354GH 1 146.0103 140 3.56084354 3.56084354DT -1 255.6575 140 1.44852951 -1.44852951TH -1 221.5833 140 0.3991337 -0.3991337

CIRCUITO TRAMO SENTIDO Long. (m) C Q3 (lt/seg.) Q3 con SentiIV TH 1 221.5833 140 3.6008663 3.6008663

HI 1 266.6056 140 3.04002277 3.04002277IJ 1 127.0551 140 2.04002277 2.04002277TJ -1 276.3692 140 1.42825613 -1.42825613

CIRCUITO TRAMO SENTIDO Long. (m) C Q3 (lt/seg.) Q3 con SentiV QS 1 180.1582 140 5.27772187 5.27772187

SN 1 174.928 140 1.74600077 1.74600077QP -1 129.7641 140 5.25399923 -5.25399923PO -1 105.6991 140 4.75399923 -4.75399923ON -1 87.3442 140 4.25399923 -4.25399923

CIRCUITO TRAMO SENTIDO Long. (m) C Q3 (lt/seg.) Q3 con SentiVI SJ 1 243.6628 140 3.3681324 3.3681324

JK 1 250.86 140 4.83641129 4.83641129SN -1 174.928 140 2.16358871 -2.16358871NM -1 145.2295 140 5.16358871 -5.16358871ML -1 118.279 140 4.16358871 -4.16358871LK -1 100.7299 140 3.16358871 -3.16358871

Page 30: Base de Calculos Realizados

CUADRO DE LA CUARTA CORRECCION PARA CADA TRAMOSON IGUALESLADOS IGUALES

ɸ3 (pulg.) S3 H3 H3/Q3 Δ Q3 CORRECCIONQ - 44 0.02163096 2.05189743 0.17793506 2.73E-01 11.80482883 0.00976687 1.99452663 0.56624916 2.73E-01 9.29E-04 3.796384763 0.01582985 4.37488413 0.9569399 2.73E-01 0.46676723 5.311618844 0.0122108 -1.48056009 0.17483601 2.73E-01 -8.195171164 0.01090935 -1.1846709 0.14867337 2.73E-01 -7.69517116

Page 31: Base de Calculos Realizados

3 0.00606085 -1.09191195 0.40110227 2.73E-01 1.09E-07 -2.449170282 0.00292093 -0.71172296 1.12637989 2.73E-01 -2.83E-07 -0.35876015

3.95244229 3.55211566 -0.60145995

ɸ3 (pulg.) S3 H3 H3/Q3 Δ Q3 CORRECCIONQ - 44 0.00643233 1.34930172 0.22523548 9.29E-04 5.991555914 0.00547363 0.61692071 0.11235888 9.29E-04 5.491555912 0.03873009 9.9016384 3.88075756 9.29E-04 1.36E-01 2.688130953 0.00509105 -1.03966098 0.41961543 9.29E-04 2.73E-01 -2.20361525

10.8281998 4.63796735 -1.26199271

ɸ3 (pulg.) S3 H3 H3/Q3 Δ Q3 CORRECCIONQ - 43 0.02275062 3.24872897 0.58421514 1.36E-01 5.696575043 0.01910819 1.48309169 0.29305227 1.36E-01 5.196575043 0.01576003 2.64651581 0.58026893 1.36E-01 4.696575042 0.07180041 10.4835996 2.94413375 1.36E-01 3.696575042 0.0135752 -3.47060218 2.39594855 1.36E-01 9.29E-04 -1.311869052 0.00124756 -0.27643949 0.69259872 1.36E-01 0.46676723 0.20336503

14.1148944 7.49021736 -1.01861833

ɸ3 (pulg.) S3 H3 H3/Q3 Δ Q3 CORRECCIONQ - 42 0.07330203 16.2425063 4.51072185 0.46676723 1.36E-01 4.203365033 0.00743566 1.98238805 0.65209645 0.46676723 3.506789992 0.02559357 3.25179357 1.59399867 0.46676723 2.506789992 0.01322546 -3.65510863 2.55914087 0.46676723 2.73E-01 -0.68838117

17.8215793 9.31595784 -1.03406287

ɸ3 (pulg.) S3 H3 H3/Q3 Δ Q3 CORRECCIONQ - 43 0.02065223 3.72066838 0.70497621 1.09E-07 2.73E-01 5.550829722 0.01918506 3.35600384 1.92210903 1.09E-07 1.746000883 0.02048065 -2.65765345 0.50583438 1.09E-07 -5.253999123 0.0170183 -1.79881911 0.37838018 1.09E-07 -4.753999123 0.01385296 -1.209976 0.28443258 1.09E-07 -4.25399912

1.41022367 3.79573239 -0.20082635

ɸ3 (pulg.) S3 H3 H3/Q3 Δ Q3 CORRECCIONQ - 42 0.0647708 15.782235 4.68575255 -2.83E-07 2.73E-01 3.641239854 0.00432754 1.08560577 0.22446515 -2.83E-07 4.836411012 0.0285382 -4.99213042 2.30733799 -2.83E-07 -2.163588994 0.00488524 -0.70948102 0.13740076 -2.83E-07 -5.163588993 0.01331269 -1.57461114 0.37818604 -2.83E-07 -4.163588993 0.00800502 -0.8063447 0.25488291 -2.83E-07 -3.16358899

8.78527346 7.9880254 -0.5944894

Page 32: Base de Calculos Realizados

CUADRO DE LA QUINTA CORRECCION PARA CADA TRAMO

CIRCUITO TRAMO SENTIDO Long. (m) C Q4 (lt/seg.) Q4 con Senti ɸ4 (pulg.)III AB 1 94.8593 140 11.8048288 11.8048288 4

BT 1 204.2135 140 3.79638476 3.79638476 3TJ 1 276.3692 140 5.31161884 5.31161884 3AR -1 121.25 140 8.19517116 -8.19517116 4RQ -1 108.5923 140 7.69517116 -7.69517116 4

Page 33: Base de Calculos Realizados

QS -1 180.1582 140 2.44917028 -2.44917028 3SJ -1 243.6628 140 0.35876015 -0.35876015 2

CIRCUITO TRAMO SENTIDO Long. (m) C Q4 (lt/seg.) Q4 con Senti ɸ4 (pulg.)I BC 1 209.7686 140 5.99155591 5.99155591 4

CD 1 112.7078 140 5.49155591 5.49155591 4DT 1 255.6575 140 2.68813095 2.68813095 2BT -1 204.2135 140 2.20361525 -2.20361525 3

CIRCUITO TRAMO SENTIDO Long. (m) C Q4 (lt/seg.) Q4 con Senti ɸ4 (pulg.)II DE 1 142.7974 140 5.69657504 5.69657504 3

EF 1 77.6155 140 5.19657504 5.19657504 3FG 1 167.9258 140 4.69657504 4.69657504 3GH 1 146.0103 140 3.69657504 3.69657504 2DT -1 255.6575 140 1.31186905 -1.31186905 2TH -1 221.5833 140 0.20336503 -0.20336503 2

CIRCUITO TRAMO SENTIDO Long. (m) C Q4 (lt/seg.) Q4 con Senti ɸ4 (pulg.)IV TH 1 221.5833 140 4.20336503 4.20336503 2

HI 1 266.6056 140 3.50678999 3.50678999 3IJ 1 127.0551 140 2.50678999 2.50678999 2TJ -1 276.3692 140 0.68838117 -0.68838117 2

CIRCUITO TRAMO SENTIDO Long. (m) C Q4 (lt/seg.) Q4 con Senti ɸ4 (pulg.)V QS 1 180.1582 140 5.55082972 5.55082972 3

SN 1 174.928 140 1.74600088 1.74600088 2QP -1 129.7641 140 5.25399912 -5.25399912 3PO -1 105.6991 140 4.75399912 -4.75399912 3ON -1 87.3442 140 4.25399912 -4.25399912 3

CIRCUITO TRAMO SENTIDO Long. (m) C Q4 (lt/seg.) Q4 con Senti ɸ4 (pulg.)VI SJ 1 243.6628 140 3.64123985 3.64123985 2

JK 1 250.86 140 4.83641101 4.83641101 4SN -1 174.928 140 2.16358899 -2.16358899 2NM -1 145.2295 140 5.16358899 -5.16358899 4ML -1 118.279 140 4.16358899 -4.16358899 3LK -1 100.7299 140 3.16358899 -3.16358899 3

Page 34: Base de Calculos Realizados

CUADRO DE LA QUINTA CORRECCION PARA CADA TRAMOSON IGUALESLADOS IGUALES

S4 H4 H4/Q4 Δ Q4 CORRECCIONQ - 50.0225892 2.1427957 0.18151857 3.04E-02 11.8351846

0.01122047 2.29137044 0.60356644 3.04E-02 -2.39E-06 3.826738120.02089853 5.77571113 1.08737304 3.04E-02 -1.46E-02 5.32741190.01149157 -1.39335248 0.17002116 3.04E-02 -8.16481540.01022704 -1.11057814 0.14432143 3.04E-02 -7.6648154

Page 35: Base de Calculos Realizados

0.0049832 -0.89776484 0.36655877 3.04E-02 -2.15E-11 -2.418814520.00102399 -0.24950844 0.69547424 3.04E-02 5.60E-10 -0.32840439

6.55867337 3.24883366 -1.09123126

S4 H4 H4/Q4 Δ Q4 CORRECCIONQ - 50.00643418 1.34968922 0.22526523 -2.39E-06 5.991553520.00547534 0.61711401 0.11237508 -2.39E-06 5.491553520.04265906 10.9061078 4.05713412 -2.39E-06 1.60E-03 2.68972549

0.0040977 -0.83680467 0.37974173 -2.39E-06 3.04E-02 -2.1732618812.0361063 4.77451616 -1.36265188

S4 H4 H4/Q4 Δ Q4 CORRECCIONQ - 50.02378964 3.39709895 0.5963406 1.60E-03 5.698171970.02006805 1.55759207 0.29973436 1.60E-03 5.198171970.01663958 2.79421518 0.59494741 1.60E-03 4.698171970.07695083 11.2356134 3.03946581 1.60E-03 3.698171970.01129922 -2.88872997 2.20199566 1.60E-03 -2.39E-06 -1.31027451

0.0003579 -0.07930487 0.38996315 1.60E-03 -1.46E-02 -0.2163307816.0164848 7.12244699 -1.21553159

S4 H4 H4/Q4 Δ Q4 CORRECCIONQ - 50.09762075 21.6311283 5.14614557 -1.46E-02 1.60E-03 4.190399270.00968713 2.58264345 0.73646938 -1.46E-02 3.49222730.03748349 4.76246846 1.89982746 -1.46E-02 2.49222730.00342307 -0.94603157 1.3742845 -1.46E-02 3.04E-02 -0.6725881

28.0302087 9.15672691 -1.65468123

S4 H4 H4/Q4 Δ Q4 CORRECCIONQ - 50.02267481 4.08505248 0.73593547 -2.15E-11 3.04E-02 5.581185480.01918506 3.35600423 1.92210913 -2.15E-11 1.746000880.02048065 -2.65765335 0.50583437 -2.15E-11 -5.25399912

0.0170183 -1.79881903 0.37838018 -2.15E-11 -4.753999120.01385296 -1.20997594 0.28443258 -2.15E-11 -4.25399912

1.77460839 3.82669173 -0.25067286

S4 H4 H4/Q4 Δ Q4 CORRECCIONQ - 50.07483129 18.2336013 5.00752547 5.60E-10 3.04E-02 3.671595610.00432754 1.08560565 0.22446514 5.60E-10 4.836411010.02853821 -4.99213163 2.30733825 5.60E-10 -2.163588990.00488524 -0.70948109 0.13740077 5.60E-10 -5.163588990.01331269 -1.57461133 0.37818606 5.60E-10 -4.163588990.00800502 -0.80634483 0.25488293 5.60E-10 -3.16358899

11.2366381 8.30979861 -0.73092727

Page 36: Base de Calculos Realizados

FINALMENTE DISEÑO ASUMIDO DE LA RED PROPUESTA

CIRCUITO TRAMO SENTIDO Long. (m) C Q (lt/seg.)III AB 1 94.8593 140 11.8351846

BT 1 204.2135 140 3.82673812TJ 1 276.3692 140 5.3274119AR -1 121.25 140 8.1648154RQ -1 108.5923 140 7.6648154

Page 37: Base de Calculos Realizados

QS -1 180.1582 140 2.41881452SJ -1 243.6628 140 0.32840439

CIRCUITO TRAMO SENTIDO Long. (m) C Q (lt/seg.)I BC 1 209.7686 140 5.99155352

CD 1 112.7078 140 5.49155352DT 1 255.6575 140 2.68972549BT -1 204.2135 140 2.17326188

CIRCUITO TRAMO SENTIDO Long. (m) C Q (lt/seg.)II DE 1 142.7974 140 5.69817197

EF 1 77.6155 140 5.19817197FG 1 167.9258 140 4.69817197GH 1 146.0103 140 3.69817197DT -1 255.6575 140 1.31027451TH -1 221.5833 140 0.21633078

CIRCUITO TRAMO SENTIDO Long. (m) C Q (lt/seg.)IV TH 1 221.5833 140 4.19039927

HI 1 266.6056 140 3.4922273IJ 1 127.0551 140 2.4922273TJ -1 276.3692 140 0.6725881

CIRCUITO TRAMO SENTIDO Long. (m) C Q (lt/seg.)V QS 1 180.1582 140 5.58118548

SN 1 174.928 140 1.74600088QP -1 129.7641 140 5.25399912PO -1 105.6991 140 4.75399912ON -1 87.3442 140 4.25399912

CIRCUITO TRAMO SENTIDO Long. (m) C Q (lt/seg.)VI SJ 1 243.6628 140 3.67159561

JK 1 250.86 140 4.83641101SN -1 174.928 140 2.16358899NM -1 145.2295 140 5.16358899ML -1 118.279 140 4.16358899LK -1 100.7299 140 3.16358899

Page 38: Base de Calculos Realizados

FINALMENTE DISEÑO ASUMIDO DE LA RED PROPUESTA

Q con Sentid ɸ (pulg) S hf (m) H V (m/seg) Po PRESION11.8351846 4 0.02269689 2.15301083 11.75 1.5069025 19.50335 33.40636083.82673812 3 0.01138716 2.32541236 3.5 0.86619632 33.4063608 39.2317732

5.3274119 3 0.02101375 5.80755316 18.2 1.20587938-8.1648154 4 0.01141287 -1.38380993 2.55 1.03957658 19.50335 20.6695401-7.6648154 4 0.01015246 -1.10247884 4.9 0.97591461 20.6695401 24.4670612

Page 39: Base de Calculos Realizados

-2.41881452 3 0.00486943 -0.87726782 20.2 0.54750761 24.4670612 43.7897934-0.32840439 2 0.00086935 -0.2118278 5.8 0.16725498 43.7897934 49.3779656

Q con Sentid ɸ (pulg) S hf (m) H V (m/seg) Po PRESION5.99155352 4 0.00643418 1.34968822 -5 0.76286829 33.4063608 29.7560495.49155352 4 0.00547534 0.61711351 0 0.69920631 29.756049 30.37316262.68972549 2 0.04270593 10.918091 8.5 1.36986594 30.3731626 49.7912535

-2.17326188 3 0.00399378 -0.81558473 3.5 0.49192586 33.4063608 36.0907761

Q con Sentid ɸ (pulg) S hf (m) H V (m/seg) Po PRESION5.69817197 3 0.02380199 3.39886271 12 1.28980229 30.3731626 45.77202535.19817197 3 0.02007948 1.55847859 -4.41 1.17662544 45.7720253 42.92050394.69817197 3 0.01665006 2.79597486 1.66 1.06344859 42.9205039 47.37647873.69817197 2 0.0770124 11.2446037 9.85 1.88346352 47.3764787

-1.31027451 2 0.0112738 -2.88223114 8.5 0.66731733 30.3731626 35.9909314-0.21633078 2 0.0004013 -0.08892162 10.6 0.11017636 10.5110784

Q con Sentid ɸ (pulg) S hf (m) H V (m/seg) Po PRESION4.19039927 2 0.09706385 21.5077283 10.6 2.13415282 35.9909314

3.4922273 3 0.00961277 2.56281752 17.3 0.79047856 02.4922273 2 0.03708124 4.71136081 -9.7 1.26928094 0 -4.98863919

-0.6725881 2 0.00327906 -0.90623188 18.2 0.34254631 17.2937681

Q con Sentid ɸ (pulg) S hf (m) H V (m/seg) Po PRESION5.58118548 3 0.02290497 4.12651895 20.2 1.26332197 24.4670612 48.79358021.74600088 2 0.01918506 3.35600423 8.4 0.88923094 11.7560042

-5.25399912 3 0.02048065 -2.65765335 14.65 1.18926212 24.4670612 36.4594079-4.75399912 3 0.0170183 -1.79881903 9.75 1.07608528 36.4594079 44.4105889-4.25399912 3 0.01385296 -1.20997594 4.2 0.96290843 44.4105889 47.4006129

Q con Sentid ɸ (pulg) S hf (m) H V (m/seg) Po PRESION3.67159561 2 0.07599065 18.5160953 5.8 1.86992829 48.79358024.83641101 4 0.00432754 1.08560565 11.6 0.61579098 12.6856057

-2.16358899 2 0.02853821 -4.99213162 8.4 1.10190682 48.7935802 52.2014486-5.16358899 4 0.00488524 -0.70948109 3.4 0.65744857 52.2014486 54.8919675-4.16358899 3 0.01331269 -1.57461133 1.9 0.94244376-3.16358899 3 0.00800502 -0.80634483 3.7 0.71609006