Producción Ton/díaTon Mx/día 800Ton Bq Mx/dí 400Ton Dr Mx/dí 400 FDN° Viajes/día 40

1. Requerimiento de Caudal por concepto de ProducciónPersonal 14 Caudal por Persona 3 [m3/min]Qpersonal 42 [m3/min]

Gases de Tronadura de BanqueoMovimiento de Material 400 TpdFactor de Carga 250 [gr Explo/Ton]Nº Turno/dia con disparo 2Cantidad de Explosivo (E) 100 kgVolumen Requerido por Kg de Explosivo 500 [m3/kg]Formación de Gases por Kg de Explosivo (G) 0.04 m3Tiempo de Ventilación (T) 60 minPorcentaje Dilución de Gases en la atmósfera (0.008%) (f) 0.008 %Nº de Tronaduras por Turno (Máx) 4Qtronadura 833.333333 [m3/min]

29 [Kcfm]23.5978177

Equipos DieselCaudal Requerido por Hp:

Nº Eq. Hp por Eq. Factor Hp TotalCamionetas 3 88 0.5 132.00Camión Copec 1 140 0.3 42.00Dumper 3 400 0.5 600.00LHD 6 Yd3 1 230 1 230.00LHD 2.5 Yd3 1 122 1 122.00Simba 1 57 0.5 28.50Grúa 2 94 0.6 112.80Qequipos

Requerimiento Total de Caudal por Concepto de Producción

Q totalQ total

2. Requerimiento de Caudal por concepto de Desarrollo

Personal 15 Caudal por Persona 3 [m3/min]

Qp 45 [m3/min]

Gases de Tronadura de BanqueoMovimiento de Material 274 TpdFactor de Carga 400 [gr Explo/Ton]Nº Turno/dia con disparo 2Cantidad de Explosivo (E) 110 kgVolumen Requerido por Kg de Explosivo 500 [m3/kg]Formación de Gases por Kg de Explosivo (G) 0.04 m3Tiempo de Ventilación (T) 90 minPorcentaje Dilución de Gases en la atmósfera (0.008%) (f) 0.008 %Nº de Tronaduras por Turno (Máx) 6Qt 611.111111 [m3/min]

134 [Kcfm]

Equipos DieselCaudal Requerido por Hp:

Nº Eq. Hp por Eq. Factor Hp TotalCamionetas 3 88 0.5 132.00Camión Copec 1 140 0.3 42.00Dumper 4 400 0.5 800.00LHD 6 Yd3 2 230 0.75 345.00Jumbo 1 75 1 75.00Mixer (HWE) 1 125 0.75 93.75 Qequipos

Requerimiento Total de Caudal por Concepto de Desarrollo Q total Q total

3. Requerimiento Total de Aire Fresco. Sector Mina Fortuna

Caudal Requerido 4255 [m3/min]Caudal Requerido 150.3 [Kcfm]15% Imprevistos 22.545 [Kcfm]Q Total MinaFortuna 172.845 [Kcfm]Q Total MinaFortuna 81.6 [m3/s]

35.314cfm 229857408

13192 4661.448000 17413444198 99.952381 0.01000476

59964 99.940000 0.01000622986 99.939130 0.0100060912193 99.942623 0.01000574

2848 99.929825 0.0100070211273 99.937943 0.01000621

127 [Kcfm]3586.4 [m3/min]

3628.4 [m3/min]128 [Kcfm]

cfm 22985740813192 99.939394 1741344 99.952381

4198 99.952381 0.01000476 0.000100 179952 99.940000 0.010006 0.000100 9988.003634479 99.939130 0.01000609 0.000100 9987.82979

7496 99.946667 0.01000534 0.000100 9989.336189369 99.936000 0.0100064 0.000100 9987.2041

4210 [m3/min]

148.7 [Kcfm]

4255 [m3/min]150.3 [Kcfm]

5.1 Presión real y Altitud Geográfica

AlturaY2 = 0,0096x + 9,57…………(1)Y2 26.97 inHg Lectura en campoReemplazndo en (1)26.97=0.0096X+9.575X 1811.9791667 ftX 552.29125 m.s.n.m PresiónY1 = -0,0009x + 29,559 Y1 27.93 inHg Presión RealHumedad relativaDeberá concer la presión de saturación del vapor de aguaPresión de saturación a T° seca (Ps)T° Humeda bocamina 13.4 °C

56.12 °F

Ps Ps = 0.4856 inHg (pulgadas de mercurio)

0.2385058392 PSI

Galeria Sección Area5x6 30

8x10 808x8 645x7 35 K

Ramal Puntos K Elegido K Corregido K Corregido x 10-10

1 1-2 165 0.6 99 0.00000000992 2-3 110 0.6 66 0.00000000663 3-4 100 0.6 60 0.00000000604 4-5 120 0.6 72 0.00000000725 5-6 100 0.6 60 0.00000000606 6-7 100 0.6 60 0.00000000607 7-8 100 0.6 60 0.00000000608 8-9 120 0.6 72 0.00000000729 9-10 100 0.6 60 0.0000000060

10 10-11 110 0.6 66 0.000000006611 11-12 25 0.6 15 0.000000001512 12-13 110 0.6 66 0.000000006613 13-14 115 0.6 69 0.000000006914 14-15 120 0.6 72 0.000000007215 15-16 115 0.6 69 0.000000006916 16-17 110 0.6 66 0.000000006617 17-18 115 0.6 69 0.000000006918 18-19 115 0.6 69 0.000000006919 19-20 85 0.6 51 0.000000005120 20-21 70 0.6 42 0.000000004221 21- 110 0.6 66 0.000000006622 70 0.6 42 0.0000000042

Factor Corrección

P Lt V A Q

Perímetro Area Ft2 Q

27.4 474.4 43 43 1849 1.57 1238.8 247.4 302 4.5 1359 0.51 5526 83 302 42 12684 1.62 7

27.86 510.8 332 42 13944 1.51 11025.71 207.12 187 39 7293 1.52 54

25 260.24 151 35 5285 1.40 5825 124.04 150 35 5250 1.40 18

9.2 245.4 500 5.5 2750 0.60 5521 118.56 60 37 2220 1.76 2710 245.4 120 9 1080 0.90 55

26.25 219.76 100 40 4000 1.52 6724.9 85.5 100 38 3800 1.53 2524.9 118.2 255 35.8 9129 1.44 1523.6 85.8 150 35.8 5370 1.52 16

24 76.3 150 38.4 5760 1.60 2424 16.4 150 38 5700 1.58 524 173.2 55 38.4 2112 1.60 15

9.2 132 300 5.5 1650 0.60 4026.5 391 107 35 3745 1.32 97

23.86 29.24 180 31.8 5724 1.33 824.05 261.52 120 34 4080 1.41 34

25.3 151.36 54 37.3 2014.2 1.47 37

Longitud Total Pies

Velocidad FT/m

Radio Hidraúlico )

A/P)

Pérdida Presión x

100 FtLongitud

Metros 3.28

403.44 70.96 0.00122180.4 67.00 0.0711722.96 60.04 0.00932360.8 150.00 0.06690

177.12 30.00 0.00631190.24 70.00 0.00621

59.04 65.00 0.00351180.4 65.00 0.1797388.56 30.00 0.00035180.4 65.00 0.00630

219.76 0.00 0.0004282 3.50 0.00074

49.2 69.00 0.0112352.48 33.32 0.0024578.72 -2.42 0.00138

16.4 0.00 0.0003049.2 124.00 0.00075

131.2 0.80 0.02653318.16 72.84 0.00394

26.24 3.00 0.00063111.52 150.00 0.00532121.36 30.00 0.00029

Total 0.40498

Long. Combertida

d en Ft

Long. Equivalente por curvas

Forma de la Vía

Hf:Resistencia Total del Ramal H2O

GaleriaK Corregido Perímetro Area Ft2 Q

1 100 22 1500 30 20000 1232 50 36 2000 80 15000 553 80 32 800 64 35000 74 15 24 2200 35 30000 110

100000 Total

Longitud Total Pies

Longitud Metros 3.28

Hf1

0.940 Hf1 0.940 Trabaj Libre Agregar ¨H2O Instalar Control0.030 Hf2 0.910 SI0.184 Hf3 0.756 SI0.320 Hf4 0.620 SI1.474

Hf:Resistencia Total del Ramal H2O

Qt=100000CFMCircuito Paralelo

GaleriaK Corregido Perímetro Area Ft2 Q

1 100 22 1500 30 9535 1232 50 36 2000 80 39753 553 80 28 800 48 26187 74 15 24 2200 35 24526 110

100000 Total

Galeria Rx Raiz (Rx) 1/Raíz(Rx) Qx Hfx

1 2.3504E-09 4.848121E-05 20627 9535 0.214 3182 1.3522E-10 1.162826E-05 85997 39753 0.214 4973 3.1161E-10 1.765247E-05 56649 26187 0.214 5464 3.5524E-10 1.884772E-05 53057 24526 0.214 701

216330.0741 100000 Ht=0.214¨H2O Buenas

Longitud Total Pies

Longitud Metros 3.28

Velocidad en Galería Ft/m

R1 Mayor resitividad

Hf1

0.214 Hf1 0.940 Trabaj Libre Agregar ¨H2O Instalar Control0.214 Hf2 0.000 SI0.214 Hf3 0.000 SI0.214 Hf4 0.000 SI

Ht=0.214¨H2O

Hf:Resistencia Total del Ramal

H2O

Qt=36000CFMCircuito Paralelo

GaleriaK=100*10^-10 Perímetro Area Ft2 Q

1 100 24 2500 35 12000 1232 100 28 2000 48 15000 553 100 24 3000 35 9000 74 100 32 1000 64 36000 75 100 32 500 64 36000 110

108000 Total

RESUELTO CON MONOGRAMA

Galeria Velocidad

1 1.46 343 0.402 1.71 313 0.223 1.46 257 0.244 2.00 563 0.295 2.00 563 0.15

total 1.30

1,2,3 deben se iguales la R=0.4Presión Total=P4+P1+P5 0.84 ¨H2O totalHP 7.882315921964 10 Hp

Longitud Total Pies

Longitud Metros 3.28

A/P Radio Hidraúlico

Hf=Resistencia Tabla

Hf1

0.39 Hf1 0.940 Trabaj Libre Agregar ¨H2O Instalar Control0.22 Hf2 0.168 SI0.26 Hf3 0.126 SI0.30 Hf3 0.083 SI0.15 Hf4 0.235 SI1.32

Hf:Resistencia Total del Ramal H2O Analítico

Software Ventsim

Hf = Perdida de presion por friccion R = Resistencia al flujo de aire

Hf = R.Q^2 R =

lb.min2/pie4K

Ramal Puntos K Elegido K Corregido K Corregido x 10-10

Pique 1-2 50 1 50 0.0000000050Galería 2-3 80 1 80 0.0000000080Chimenea 3-4 70 1 70 0.0000000070Tajo 4-5 125 1 125 0.0000000125Chimenea 5-6 70 1 70 0.0000000070Galería 6-7 80 1 80 0.0000000080Galería 7-8 80 1 80 0.0000000080Chimenea 8-9 70 1 70 0.0000000070Tajo 9-10 125 1 125 0.0000000125Chimenea 10-11 70 1 70 0.0000000070Galería 11-12 80 1 80 0.0000000080

Ktuneles = 65 Factor kchimineas = 70 lb.min2/pie4mangas impelentes = 25mangas aspirantes = 35

K' = k*1.855*10^6*10^-10

Factor klb.min2/pie4 <> N.s2/m4

CONVERTIR - Resistencialb.min2 -----> N.s2

pie8 m8

1 lb.min2 0.4536 kg 9.8 m ----->

1 lb

Densidad aire = 1.2013 kg/m3F.C. = 1

Seccion A*H

Factor Corrección

1 pie 8 60 2 s 2

pie8 0.30488 m8 1 min2 s2

Galeria 2.4 2.4 m Chimeneaarea = 5.76 m2 areaperimetro = 9.6 m perimetroR.H = 0.60 m R.H

K

Ramal Puntos K Elegido K Corregido K Corregido x 10-10

Crucero 1-2 65 1 25Galeria 2-3 25 1 25Galeria 3-4 25 1 25Galeria 4-5 25 1 25Galeria 5-6 25 1 25Galeria 6-7 25 1 25Galeria 7-8 25 1 25Chimenea 4-10 70 1 70Chimenea 5-11 70 1 70Chimenea 6-12 70 1 70Chimenea 7-13 70 1 70Galeria 9-10 25 1 25Galeria 10-11 25 1 25Galeria 11-12 25 1 25Galeria 12-13 25 1 25Galeria 13-14 25 1 25Chimenea 11-15 70 1 70Chimenea 12-16 70 1 70Chimenea doble 3-17 70 1 70Chimenea doble 2-18 70 1 70Galeria 17-18 35 1 35Galeria 18-19 35 1 35Galeria 19-20 35 1 35Crucero 20-21 70 1 35

Datos Ejemplok 0.011p 16l 300q 50 m3/sa 15 m2ejemploGaleria 1-2 70 1 70

Factor Corrección

R = Resistencia al flujo de aire Hf = Perdida de presion por friccion

K.P.L Hf = K.P.L.Q^2A^3 A^3

25 7.621951219512

pie pie pie2 pie3/minP L V A Q

Perímetro Area Ft2 Q

0.0000927500 36 345 694 72 500000.0001484000 28 128 1042 48 0.0001298500 24 110 781 32 250000.0002318750 70 122 100 250 0.0001298500 24 68 781 32 0.0001484000 28 184 521 48 0.0001484000 28 167 521 48 25000

24 60 781 32 70 138 100 250 24 118 781 32 28 173 1042 48 50000

Factor k<> N.s2/m4

214823565.778466 N.s2

m8

Longitud Total Pies

Velocidad FT/m

1.5 1.5 m= 2.25 m2= 6 m= 0.38 m

N.s2/m4 m m m2 m3/sK P L V A Q

K' Perímetro (m) Area (m2) Q (m3/s)

0.01 9.6 40 4.340 5.76 250.01 9.6 9 4.340 5.760.01 9.6 25 4.340 5.760.01 9.6 50 4.340 5.760.01 9.6 51 4.340 5.760.01 9.6 52 4.340 5.760.01 9.6 86 0.087 5.76 0.50.01 6 52 0.222 2.250.01 6 52 0.222 2.250.01 6 52 0.222 2.250.01 6 52 0.222 2.250.01 9.6 15 0.087 5.76 0.50.01 9.6 50 0.087 5.760.01 9.6 51 0.087 5.760.01 9.6 52 0.087 5.760.01 9.6 12 22.897 5.76 131.8860.01 6 37 58.616 2.250.01 6 37 58.616 2.250.01 6 104 58.616 2.250.01 6 104 58.616 2.250.01 9.6 9 22.897 5.760.01 9.6 22 22.897 5.760.01 9.6 425 22.896875 5.760.01 9.6 261 22.896875 5.76

0.01 9.6 261 22.897 5.76

Longitud Total (m)

Velocidad (m/s)

1"H2O = 5.2 lb/pie2

0.415943287037037 lb/pie2 ----> 0.07998909 H2O

lb.min2/pie8 lb/pie2 " H2O N.s2/m8R Hf Hf R

Hf Hf

0.0000000000320 0.42 0.080 0.0070.0000000000499 0.65 0.125 0.0110.0000000001085 1.41 0.271 0.0230.0000000000013 0.02 0.003 0.00030.0000000000670 0.87 0.168 0.0140.0000000000717 0.93 0.179 0.0150.0000000000650 0.85 0.163 0.0140.0000000000592 0.77 0.148 0.0130.0000000000015 0.02 0.004 0.0000.0000000001163 1.51 0.291 0.0250.0000000000674 0.88 0.168 0.014

RESISTENCIA ( lb.min2/pie8 )

RESISTENCIA ( N.s2/m8 )

N.s2/m8 N/m2 <> PaR Hf

RESISTENCIA Hf

0.0201 12.560.0045 2.830.0126 7.850.0251 15.700.0256 16.010.0261 16.330.0432 27.000.2739 171.190.2739 171.190.2739 171.190.2739 171.190.0075 4.710.0251 15.700.0256 16.010.0261 16.330.0060 3.770.1949 121.810.1949 121.810.5478 342.390.5478 342.390.0045 2.830.0111 6.91

0.213497460133745 133.4359125835910.13111255787037 81.9453486689815

0.1311 81.95

0.8660.893

Malla Ramal R Qa R*Q*Q -s(R*Q*Q) 2*R*Q

I

BD 1 4 16

-58

8DC 2 -6 -72 24CB 2 -1 -2 4

II

AB 1 5 25

-5

10BC 2 1 2 4CA 2 -4 -32 16

IIIAC 2 4 32

2816

CEA 4 -1 -4 8

I

BD 1DC 2CB 2

II

AB 1BC 2CA 2

IIIAC 2CEA 4

I

BD 1DC 2CB 2

II

AB 1BC 2CA 2

IIIAC 2CEA 4

I

BD 1DC 2CB 2

II

AB 1BC 2CA 2

IIIAC 2CEA 4

S2*R*Q DQ Qcorregido

36

30

24

Esta es la hoja de la solucion del proyecto 1

Resistenciavalores entre () en Ns2/m8 Caída de presiónA-B 0.101 76B-C 0.475 19C-D 0.849 557B-E 0.061 113E-F 0.302 171F-G 0.598 512G-D 0.318 0D-H 0.48 0C-F 1.056 0

ventilador 1.99 Kpa

Ramas de Circuito reducido1 0.849 CD2 1.056 CF3 0.916 FG en serie con GD4 0.581 AB+HD5 0.475 BC6 0.363 BE en serie con EF

ramas

Caída de PresiónR1 0.849 640R2 1.056 43R3 0.916 601R4 0.581 1078R5 0.475 269R6 0.363 311

Factor de CorrecciónIteracion malla f_i f_i' Xi Q1 Q2 Q3 Q4 Q5

10 10 10 10 101 1 1799.5 38.1 47.2 57.2 10.0 10.0 57.2 57.2

2 -1625.1 82.7 -19.6 57.2 -9.6 10.0 57.2 37.63 -323.5 106.3 -3.0 57.2 -9.6 7.0 54.2 37.6

nodo1 nodo 2 nodo 3

nodo 4

1

2

3

4

5

6M2

M1

M3

2 1 -3168.1 195.9 -16.2 41.1 -9.6 7.0 38.0 21.42 -59.2 19.3 -3.1 41.1 -12.7 7.0 38.0 18.33 786.7 78.5 10.0 41.1 -12.7 17.0 48.0 18.3

3 1 -941.8 143.0 -6.6 34.5 -12.7 17.0 41.5 11.82 335.7 13.2 25.5 34.5 12.8 17.0 41.5 37.33 654.5 89.6 7.3 34.5 12.8 24.3 48.8 37.3

4 1 -1060.1 150.6 -7.0 27.4 12.8 24.3 41.7 30.22 -440.3 71.4 -6.2 27.4 6.6 24.3 41.7 24.13 160.7 113.1 1.4 27.4 6.6 25.7 43.1 24.1

5 1 -5.4 119.6 0.0 27.4 6.6 25.7 43.1 24.02 -14.1 58.0 -0.2 27.4 6.4 25.7 43.1 23.83 -6.7 118.5 -0.1 27.4 6.4 25.7 43.0 23.8

6 1 8.4 119.1 0.1 27.5 6.4 25.7 43.1 23.92 -2.9 57.4 0.0 27.5 6.4 25.7 43.1 23.83 -4.6 118.4 0.0 27.5 6.4 25.6 43.1 23.8

datos del tareaQ1 30Q2 5Q3 20Q4 30Q5 10

Q6 15se va utilizar software como DEMO

Caída de presión

Q6 Q7 Q8 Q9 Q1010 B 1

10.0 M1 129.6 M2 026.6 M3 0

26.6 129.7 039.7 039.7 114.2 021.5 021.5 127.6 029.1 029.1 129.3 029.3 029.3 129.3 029.3 0

100100

2 3 4 5 60 0 1 1 01 0 0 1 -10 1 1 0 1

0 0 1 1 01 0 0 1 -10 1 1 0 10 0 1 1 01 0 0 1 -10 1 1 0 10 0 1 1 01 0 0 1 -10 1 1 0 10 0 1 1 01 0 0 1 -10 1 1 0 10 0 1 1 01 0 0 1 -10 1 1 0 10 0 1 1 01 0 0 1 -10 1 1 0 10 0 1 1 01 0 0 1 -10 1 1 0 1

1 SECCION LONGITUD PERIMETRO AREA RESISTENCIAAB 2X2 40 8 4 0.0649BC 2X2 20 8 4 0.0325BD 3X3 10 12 9 0.0046CE 3X3 10 12 9 0.0046DE 2X2 20 8 4 0.0325DF 3X3 20 12 9 0.0119EG 3X3 20 12 9 0.0119FH 3X3 10 12 9 0.0034GI 3X3 10 12 9 0.0034HI 2X2 20 8 4 0.0325HJ 2X2 40 8 4 0.0649

K K (SI)70 0.01299

150 0.02783195 0.03617110 0.02041

2

R=0.0649 R=0.0649

R=0.0046 R=(df-fh)=0.0153

R=0.0325R=(bc-ce)=0.0370

R=(eg-gi-ih)=0.0477

Nota: De acuerdo a la formula establecida en el libro

ja

h

d

b

e

nodo1 nodo 2

nodo 4

nodo 3

M2

M1

M3

1

32

6

5

4

3

( )eKO L LR

A

ventilador 10 PaR1 0.1R2 0.2R3 0.05R4 0.3R5 0.15R6 0.25R7 0.6R8 0.12R9 0.9R10 0.8

82.535951473

Iteracion malla f_i f_i' Xi Q1 Q211 9

1 1 29.1 7.8 3.731 11.0 9.02 1957.8 12.8 153.472 164.5 9.03 -6027.3 82.5 -73.026 164.5 82.0

2 1 10325.7 140.3 73.598 164.5 82.02 -28473.2 440.6 -64.628 99.8 82.03 -1846.4 128.2 -14.408 99.8 96.4

3 1 -5367.1 156.7 -34.259 99.8 96.42 -8137.4 239.8 -33.930 65.9 96.43 -2855.5 157.6 -18.124 65.9 114.6

4 1 -1588.0 95.3 -16.668 65.9 114.62 -2526.2 176.7 -14.297 51.6 114.63 -4925.1 202.8 -24.290 51.6 62.9

5 1 -475.7 67.3 -7.072 51.6 62.92 -89.9 111.7 -0.805 27.3 62.93 -10209.0 212.0 -48.145 27.3 35.6

7 1 -145.8 56.0 -2.602 27.3 35.62 -5690.4 187.5 -30.357 3.0 35.63 -32988.0 346.8 -95.114 3.0 32.6

8 1 -100.7 48.2 -2.089 3.0 32.62 -29619.7 246.7 -120.046 -21.3 32.63 -98195.8 571.9 -171.701 -21.3 53.8

9 1 1837.7 72.7 25.265 -21.3 53.82 -95524.6 225.9 -422.8564 -45.5 53.83 -253544.9 922.8 -274.754 -45.5 99.41 -1398.8 225.8 -6.196 -45.5 99.42 -387971.3 -190.1 2040.995 -69.8 99.43 -587967.7 1431.3 -410.790 -69.8 169.2

4379.0 34.2H

M1 H5 399.65 1

nodo 4

H1 266.43 1H4 175.89 1TOTAL CAIDA 841.97

X1 4.7X2 6.3X3 -3.7

+

Nota: De acuerdo a la formula establecida en el libro

40 40

20 1010

10 1020

20 20 20 20

a

b

ec

d f

g

h

i

j3

( )eKO L LR

A

Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q1010 10 11 2 1 0 1 1

10.0 6.3 11.0 2.0 1.0 -3.7 4.7 1.010.0 159.7 164.5 155.5 1.0 149.7 4.7 154.510.0 159.7 164.5 82.4 -72.0 149.7 4.7 154.510.0 86.1 164.5 82.4 -72.0 76.1 78.3 154.510.0 21.5 99.8 17.8 -72.0 11.5 78.3 89.810.0 21.5 99.8 3.4 -86.4 11.5 78.3 89.810.0 55.8 99.8 3.4 -86.4 45.8 44.1 89.810.0 21.8 65.9 -30.5 -86.4 11.8 44.1 55.910.0 21.8 65.9 -48.6 -104.6 11.8 44.1 55.910.0 38.5 65.9 -48.6 -104.6 28.5 27.4 55.910.0 24.2 51.6 -62.9 -104.6 14.2 27.4 41.610.0 24.2 51.6 -11.3 -128.8 14.2 27.4 41.610.0 14.2 51.6 -11.3 -128.8 21.3 20.3 41.610.0 24.2 75.8 64.5 -128.8 20.5 20.3 40.810.0 24.2 75.8 140.3 -177.0 20.5 20.3 40.810.0 14.2 75.8 140.3 -177.0 23.1 17.7 40.810.0 24.2 100.0 240.4 -177.0 -7.3 17.7 10.510.0 24.2 100.0 340.4 -272.1 -7.3 17.7 10.510.0 14.2 100.0 340.4 -272.1 -5.2 15.6 10.510.0 24.2 124.3 464.7 -272.1 -125.2 15.6 -109.610.0 24.2 124.3 588.9 -443.8 -125.2 15.6 -109.610.0 14.2 124.3 588.9 -443.8 -150.5 40.9 -109.610.0 24.2 148.5 737.4 -443.8 -573.4 40.9 -532.410.0 24.2 148.5 885.9 -718.6 -573.4 40.9 -532.410.0 14.2 148.5 885.9 -718.6 -567.2 34.7 -532.410.0 24.2 172.7 1058.6 -718.6 1473.8 34.7 1508.510.0 24.2 172.7 1231.3 -1129.4 1473.8 34.7 1508.5

Tipo de Via (Irregulariades Promedio) Irregularidades

Roca Sedimentaria Sinuosa – Moderada – Limpia

Roca Ignea Recta – Ligeramente obstruida

Roca Ignea Curvada – Alto grado – Moderadamente Obstruida

Enmaderada (Timbered) Recta – Moderadamente Obstruida

40 40

20 1010

10 1020

20 20 20 20

a

b

ec

d f

g

h

i

j

B 1 2 3 4 5 6M1 0 0 0 -1 0 0M2 1 0 0 1 1 1M3 0 -1 0 0 0 1

73.600 0 0 0 -1 0 0-64.630 1 0 0 1 1 134.170 0 -1 0 0 0 1

-34.260 0 0 0 -1 0 0-33.360 1 0 0 1 1 116.660 0 -1 0 0 0 1

-16.490 0 0 0 -1 0 0-14.710 1 0 0 1 1 1

7.430 0 -1 0 0 0 1-7.180 0 0 0 -1 0 0-4.690 1 0 0 1 1 12.400 0 -1 0 0 0 1

-2.250 0 0 0 -1 0 0-0.970 1 0 0 1 1 10.450 0 -1 0 0 0 1

-0.434 0 0 0 -1 0 0-0.143 1 0 0 1 1 10.056 0 -1 0 0 0 1

-0.059 0 0 0 -1 0 0-0.017 1 0 0 1 1 10.001 0 -1 0 0 0 1

-0.001 0 0 0 -1 0 0-0.002 1 0 0 1 1 10.001 0 -1 0 0 0 1

1 0 0 1 1 00 1 0 0 1 -1

0 0 1 1 0 11 0 0 1 1 00 1 0 0 1 -10 0 1 1 0 11 0 0 1 1 00 1 0 0 1 -10 0 1 1 0 11 0 0 1 1 00 1 0 0 1 -10 0 1 1 0 1

7 8 9 100 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 0

1 SECCION LONGITUD PERIMETRO AREA RESISTENCIAAB 2X2 40 8 4 0.0649BC 2X2 20 8 4 0.0325BD 3X3 10 12 9 0.0046CE 3X3 10 12 9 0.0046DE 2X2 20 8 4 0.0325DF 3X3 20 12 9 0.0119EG 3X3 20 12 9 0.0119FH 3X3 10 12 9 0.0034GI 3X3 10 12 9 0.0034HI 2X2 20 8 4 0.0325HJ 2X2 40 8 4 0.0649

K K (SI)70 0.01299

150 0.02783195 0.03617110 0.02041

2

R=0.0649 R=0.0649

R=0.0046 R=(df-fh)=0.0153

R=0.0325R=(bc-ce)=0.0370

R=(eg-gi-ih)=0.0477

ventilador 2 PaR1 0.1

nodo1 nodo 2 nodo 3

nodo 4

1

2

3

4

5

6M2

M1

M3

ja

h

d

b

e

nodo1 nodo 2

nodo 4

nodo 3

M2

M1

M3

1

32

6

5

4

3

( )eKO L LR

A

R2 0.2R3 0.05 Nota: Prueba con los datos de H.C.ClaseR4 0.3R5 0.15R6 0.25R7 0.6R8 0.12R9 0.9R10 0.8

Iteracion malla f_i f_i' Xi Q1 Q211 9

1 1 -0.9 1.8 -0.500 11.0 9.02 1934.9 14.5 133.258 144.3 9.03 -4558.1 72.4 -62.932 144.3 71.9

2 1 6215.7 119.3 52.121 144.3 71.92 -20650.0 397.7 -51.926 92.3 71.93 -1370.5 113.3 -12.097 92.3 84.0

3 1 -2015.4 125.7 -16.036 92.3 84.02 -6252.6 226.5 -27.608 64.7 84.03 -1969.2 132.1 -14.907 64.7 98.9

4 1 -964.8 87.1 -11.079 64.7 98.92 -2094.7 167.6 -12.500 52.2 98.93 -3333.6 169.7 -19.649 52.2 46.7

5 1 -369.3 66.0 -5.600 52.2 46.72 -139.8 111.8 -1.250 32.6 46.73 -8421.2 191.2 -44.040 32.6 14.1

7 1 -139.9 56.9 -2.458 32.6 14.12 -7593.0 202.4 -37.514 12.9 14.13 -32034.5 323.3 -99.076 12.9 1.2

8 1 -61.5 50.8 -1.211 12.9 1.22 -35967.8 258.8 -138.968 -6.7 1.23 -102297.9 556.1 -183.965 -6.7 7.9

9 1 -41.3 81.7 -0.506 -6.7 7.92 -116641.2 215.4 -541.4081 -26.4 7.93 -273298.4 925.3 -295.375 -26.4 34.31 -91.7 210.6 -0.435 -26.4 34.32 -542766.1 -348.5 1557.330 -46.0 34.33 -647303.8 1462.7 -442.536 -46.0 80.3

HM1 H5 409.10 1

H1 272.73 1H4 214.16 1TOTAL CAIDA 895.99

X1 0.5X2 10.5

X3 0.5

+

nodo 3

M3

40 40

20 1010

10 1020

20 20 20 20

a

b

ec

d f

g

h

i

j3

( )eKO L LR

A

Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q1010 10 11 2 1 0 1 1

10.0 10.5 11.0 2.0 1.0 0.5 0.5 1.010.0 143.8 144.3 135.3 1.0 133.8 0.5 134.310.0 143.8 144.3 72.3 -61.9 133.8 0.5 134.310.0 91.6 144.3 72.3 -61.9 81.6 52.6 134.310.0 39.7 92.3 20.4 -61.9 29.7 52.6 82.310.0 39.7 92.3 8.3 -74.0 29.7 52.6 82.310.0 55.7 92.3 8.3 -74.0 45.7 36.6 82.310.0 28.1 64.7 -19.3 -74.0 18.1 36.6 54.710.0 28.1 64.7 -34.2 -88.9 18.1 36.6 54.710.0 39.2 64.7 -34.2 -88.9 29.2 25.5 54.710.0 26.7 52.2 -46.7 -88.9 16.7 25.5 42.210.0 26.7 52.2 5.5 -108.6 16.7 25.5 42.210.0 16.7 52.2 5.5 -108.6 22.3 19.9 42.210.0 26.7 78.9 84.5 -108.6 21.1 19.9 41.010.0 26.7 78.9 163.4 -152.6 21.1 19.9 41.010.0 16.7 78.9 163.4 -152.6 23.5 17.4 41.010.0 26.7 105.7 269.1 -152.6 -14.0 17.4 3.510.0 26.7 105.7 374.7 -251.7 -14.0 17.4 3.510.0 16.7 105.7 374.7 -251.7 -12.8 16.2 3.510.0 26.7 132.4 507.1 -251.7 -151.7 16.2 -135.510.0 26.7 132.4 639.5 -435.7 -151.7 16.2 -135.510.0 16.7 132.4 639.5 -435.7 -151.2 15.7 -135.510.0 26.7 159.1 798.6 -435.7 -692.6 15.7 -676.910.0 26.7 159.1 957.7 -731.0 -692.6 15.7 -676.910.0 16.7 159.1 957.7 -731.0 -692.2 15.3 -676.910.0 26.7 185.8 1143.5 -731.0 865.1 15.3 880.410.0 26.7 185.8 1329.3 -1173.6 865.1 15.3 880.4

4.736.273.737.27

Tipo de Via (Irregulariades Promedio) Irregularidades

Roca Sedimentaria Sinuosa – Moderada – Limpia

Roca Ignea Recta – Ligeramente obstruida

Roca Ignea Curvada – Alto grado – Moderadamente Obstruida

Enmaderada (Timbered) Recta – Moderadamente Obstruida

B 1 2 3 4 5 6M1 0 0 0 -1 0 0M2 1 0 0 1 1 1M3 0 -1 0 0 0 1

73.600 0 0 0 -1 0 0-64.630 1 0 0 1 1 134.170 0 -1 0 0 0 1

-34.260 0 0 0 -1 0 0-33.360 1 0 0 1 1 116.660 0 -1 0 0 0 1

-16.490 0 0 0 -1 0 0-14.710 1 0 0 1 1 1

7.430 0 -1 0 0 0 1-7.180 0 0 0 -1 0 0-4.690 1 0 0 1 1 12.400 0 -1 0 0 0 1

-2.250 0 0 0 -1 0 0-0.970 1 0 0 1 1 10.450 0 -1 0 0 0 1

-0.434 0 0 0 -1 0 0-0.143 1 0 0 1 1 10.056 0 -1 0 0 0 1

-0.059 0 0 0 -1 0 0-0.017 1 0 0 1 1 10.001 0 -1 0 0 0 1

-0.001 0 0 0 -1 0 0-0.002 1 0 0 1 1 10.001 0 -1 0 0 0 1

1 0 0 1 1 00 1 0 0 1 -10 0 1 1 0 11 0 0 1 1 00 1 0 0 1 -10 0 1 1 0 11 0 0 1 1 00 1 0 0 1 -1

0 0 1 1 0 11 0 0 1 1 00 1 0 0 1 -10 0 1 1 0 1

7 8 9 100 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 00 -1 1 00 1 0 11 0 0 0