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    METODO DE HARDY CROSS

    UTILIZANDO EN EL CALCULO MEDIANTE LAS ECUACIONES DE HAZEN WILLIAMS

    TRAMO

    DIAMETROLONGITUD COEF. PERDIDA DE CARGA

    QD (m) L (m) C1 J (m/1000m) h (m)

    1

    A 0.!0 "#0 1$0 1#0 %%.&1 "".'!$ 0.!%'' $$.'0 116.20

    E 0.!0 "00 1$0 "& 11.1 "."&% 0.0%1 1.$" 28.66

    EF 0.!0 "$# 1$0 $% '.!$ $.#'0 0.0%1' ".! -86.27

    FA 0.!# "#0 1$0 1!0 !!.!$ 10.00! 0.0'$$ $$.'0 -153.80

    = 35.710 0.5711 $$.'0

    !

    C 0.1# $#0 1$0 &0 ".1' !#.%&! 0."$! 1&."& 43.54

    CD 0.!0 $#0 1$0 #$ 1".#! #.0'! 0.0%#% 1&."& 36.54

    DE 0.1# $# 1$0 1 .1% !.&%# 0.1#'# $%.' -56.87

    E 0.!0 "00 1$0 "& 11.1 "."&% 0.0%1 1.$" -28.66

    = 23.881 0.7842 1&."&

    $

    FE 0.!0 "$# 1$0 $% '.!$ $.#'0 0.0%1' ".! 86.27

    EH 0.!0 "00 1$0 #" 1#.0$ &.01$ 0.111$ %.%" 44.06

    HG 0.1# "1# 1$0 #! #&.%! !$.&!0 0."#"! 1$." -38.53

    GF 0.!# $%0 1$0 " %.0' $.#"! 0.0"% 1$." -60.53

    = -17.570 0.7052 1$."

    "

    ED 0.1# $# 1$0 1 .1% !.&%# 0.1#'# $%.' 56.87

    DI 0.!0 "00 1$0 #& 1&.0' &."$1 0.11"' !$."1 79.41

    IH 0.1# "00 1$0 & 11".%0 "#.%#' 0.&0" !$."1 -52.59

    HE 0.!0 "00 1$0 #" 1#.0$ &.01$ 0.111$ %.%" -44.06

    = -42.845 0.9894 !$."1

    TRAMODIAMETROLONGITUD COEF. PERDIDA DE CARGA

    Q

    D (m) L (m) C1 J (m/1000m) h (m)

    1

    A 0.!0 "#0 1$0 11&.! &!.0% !.%"! 0.!"0# 1."& 117.66

    E 0.!0 "00 1$0 !'. ". 1.'&1 0.0&"% ".#% 24.07

    EF 0.!0 "$# 1$0 '&.$ $#. 1#.#&! 0.1'0" "."# -81.82

    FA 0.!# "#0 1$0 1#$.' $#.1' 1#.'$$ 0.10!% 1."& -152.34

    = -1.591 0.5887 1."&

    !

    C 0.1# $#0 1$0 "$.# "0.% 1".$"1 0.$!%" &.0# 49.59

    CD 0.!0 $#0 1$0 $&.# .!% !.##$ 0.0&%% &.0# 42.59

    DE 0.1# $# 1$0 #&.% &.1 !#.1'' 0.""!% 10.'& -46.00

    E 0.!0 "00 1$0 !'. ". 1.'&1 0.0&"% ".#% -24.07

    = -10.156 0.9071 &.0#

    $

    FE 0.!0 "$# 1$0 '&.$ $#. 1#.#&! 0.1'0" "."# 81.82

    EH 0.!0 "00 1$0 "".1 10.$1 ".1!& 0.0%$& 1.'! 45.88

    HG 0.1# "1# 1$0 $'.# $!.&' 1$.#&$ 0.$#!0 !.%% -41.52

    GF 0.!# $%0 1$0 &0.# &.!& !.""! 0.0"0$ !.%% -63.52

    0 = 3.683 0.6664 !.%%

    "

    ED 0.1# $# 1$0 #&.% &.1 !#.1'' 0.""!% 10.'& 46.00

    DI 0.!0 "00 1$0 %." $0.&% 1!.!& 0.1#"& ".'1 74.60

    IH 0.1# "00 1$0 #!.& #'.1! !$.!"% 0.""!1 ".'1 -57.40

    HE 0.!0 "00 1$0 "".1 10.$1 ".1!& 0.0%$& 1.'! -45.88

    = 10.088 1.1332 ".'1

    LAZO O

    CIRCUITO

    CAUDALSUPUESTO

    h/QO Q1 (L*/+)

    QO(L*/+)

    LAZO OCIRCUITO

    CAUDALSUPUESTO h/QO Q1 (L*/+)

    QO(L*/+)

    h=0,0301 Q

    C1,851

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    TRAMODIAMETROLONGITUD COEF. PERDIDA DE CARGA

    Q

    D (m) L (m) C1 J (m/1000m) h (m)

    1

    A 0.!0 "#0 1$0 11. &$.## !'.#%& 0.!"$0 0.!& 117.40

    E 0.!0 "00 1$0 !".1 $.$ 1.$" 0.0#&0 1. 25.84EF 0.!0 "$# 1$0 '1.' $!."" 1".10% 0.1!" 0.0! -81.83

    FA 0.!# "#0 1$0 1#!.$ $".# 1#.### 0.10!1 0.!& -152.60

    = 0.278 0.5736 0.!&

    !

    C 0.1# $#0 1$0 "%.& #!.1$ 1'.!" 0.$&% !.0$ 47.56

    CD 0.!0 $#0 1$0 "!.& %.&% $.$%1 0.0%& !.0$ 40.56

    DE 0.1# $# 1$0 "&.0 "#.$ 1.01$ 0.$&%' $.%$ -49.94

    E 0.!0 "00 1$0 !".1 $.$ 1.$" 0.0#&0 1. -25.84

    = 3.277 0.8733 !.0$

    $

    FE 0.!0 "$# 1$0 '1.' $!."" 1".10% 0.1!" 0.0! 81.83

    EH 0.!0 "00 1$0 "#.% 11.1! ".""' 0.0%&% !.1# 43.73

    HG 0.1# "1# 1$0 "1.# $.#$ 1#.#$ 0.$#1 0.!# -41.77

    GF 0.!# $%0 1$0 &$.# &.'# !.&0 0.0"!0 0.!# -63.77

    0 = 0.314 0.6865 0.!#

    "

    ED 0.1# $# 1$0 "&.0 "#.$ 1.01$ 0.$&%' $.%$ 49.94

    DI 0.!0 "00 1$0 ".& !.$" 10.%$" 0.1"&& 1.%1 76.50

    IH 0.1# "00 1$0 #." &'.$# !.$"0 0."&$ 1.%1 -55.50

    HE 0.!0 "00 1$0 "#.% 11.1! ".""' 0.0%&% !.1# -43.73

    = -3.841 1.0896 1.%1

    TRAMODIAMETROLONGITUD COEF. PERDIDA DE CARGA

    Q

    D (m) L (m) C1 J (m/1000m) h (m)

    1

    A 0.!0 "#0 1$0 11." &$.!' !'."' 0.!"!& 0.!' 117.12

    E 0.!0 "00 1$0 !#.' $.'" 1.#$& 0.0#%# 1.10 24.74EF 0.!0 "$# 1$0 '1.' $!."# 1".11" 0.1!# 0." -82.31

    FA 0.!# "#0 1$0 1#!.& $".&' 1#.&0# 0.10!$ 0.!' -152.88

    = 0.295 0.5768 0.!'

    !

    C 0.1# $#0 1$0 ".& "'.!& 1&.''% 0.$##1 0.'! 48.39

    CD 0.!0 $#0 1$0 "0.& '.'# $.0%' 0.0&" 0.'! 41.39

    DE 0.1# $# 1$0 "%.% #!.'1 1%.'0$ 0.$%&& 1.#& -48.37

    E 0.!0 "00 1$0 !#.' $.'" 1.#$& 0.0#%# 1.10 -24.74

    = -1.352 0.8875 0.'!

    $

    FE 0.!0 "$# 1$0 '1.' $!."# 1".11" 0.1!# 0." 82.31

    EH 0.!0 "00 1$0 "$. 10.1 ".0&% 0.0%$1 0.%" 44.67

    HG 0.1# "1# 1$0 "1.' $.%" 1#."# 0.$0 0.!0 -41.57

    GF 0.!# $%0 1$0 &$.' &.%0 !.&%0 0.0"!! 0.!0 -63.570 = -0.251 0.6847 0.!0

    "

    ED 0.1# $# 1$0 "%.% #!.'1 1%.'0$ 0.$%&& 1.#& 48.37

    DI 0.!0 "00 1$0 &.# !'.&" 11."# 0.1"%' 0." 75.76

    IH 0.1# "00 1$0 ##.# &".!1 !#.&'" 0."&!' 0." -56.24

    HE 0.!0 "00 1$0 "$. 10.1 ".0&% 0.0%$1 0.%" -44.67

    = 1.507 1.1021 0."

    LAZO OCIRCUITO

    CAUDALSUPUESTO h/QO Q1 (L*/+)

    QO(L*/+)

    LAZO OCIRCUITO

    CAUDALSUPUESTO h/QO Q1 (L*/+)

    QO(L*/+)

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    TRAMODIAMETROLONGITUD COEF. PERDIDA DE CARGA

    Q

    D (m) L (m) C1 J (m/1000m) h (m)

    1A 0.!0 "#0 1$0 11.1 &$.01 !'.$#" 0.!"!1 0.1" 117.27E 0.!0 "00 1$0 !". $.#" 1."1 0.0#$ 0."% 25.22

    EF 0.!0 "$# 1$0 '!.$ $!.'0 1".!&& 0.1$$ 0.$1 -81.99

    FA 0.!# "#0 1$0 1#!.% $".% 1#. 0.10!" 0.1" -152.73

    = -0.152 0.5751 0.1"

    !

    C 0.1# $#0 1$0 "'." "%.'1 1."$# 0.$&0$ 0.$" 48.04

    CD 0.!0 $#0 1$0 "1." %.1% $.!1# 0.0 0.$" 41.04

    DE 0.1# $# 1$0 "'." "%.% 1'.&1 0.$'&0 0. -49.03

    E 0.!0 "00 1$0 !". $.#" 1."1 0.0#$ 0."% -25.22

    = 0.561 0.8813 0.$"

    $

    FE 0.!0 "$# 1$0 '!.$ $!.'0 1".!&& 0.1$$ 0.$1 81.99

    EH 0.!0 "00 1$0 "". 10.#' ".!$! 0.0%" 0."' 44.19

    HG 0.1# "1# 1$0 "1.& $.&1 1#.&0 0.$#" 0.1 -41.74

    GF 0.!# $%0 1$0 &$.& &.'& !.&" 0.0"!1 0.1 -63.74

    0 = 0.217 0.6856 0.1

    "

    ED 0.1# $# 1$0 "'." "%.% 1'.&1 0.$'&0 0. 49.03

    DI 0.!0 "00 1$0 #.' !'.1$ 11.!#$ 0.1"'# 0.$1 76.07

    IH 0.1# "00 1$0 #&.! .'0 !&.$!0 0."&'0 0.$1 -55.93

    HE 0.!0 "00 1$0 "". 10.#' ".!$! 0.0%" 0."' -44.19

    = -0.628 1.0973 0.$1

    TRAMO

    DIAMETROLONGITUD COEF. PERDIDA DE CARGA

    QD (m) L (m) C1 J (m/1000m) h (m)

    1A 0.!0 "#0 1$0 11.$ &$.1# !'."1' 0.!"!$ 0.0% 117.18E 0.!0 "00 1$0 !#.! $.& 1."&% 0.0#'$ 0.!$ 24.99

    EF 0.!0 "$# 1$0 '!.0 $!.#& 1".1 0.1!' 0.1& -82.16

    FA 0.!# "#0 1$0 1#!. $".$ 1#.&$0 0.10!$ 0.0% -152.82

    = 0.092 0.5757 0.0%

    !

    C 0.1# $#0 1$0 "'.0 "%.1& 1.!0& 0.$#'1 0.1# 48.19

    CD 0.!0 $#0 1$0 "1.0 %.0# $.1&& 0.01 0.1# 41.19

    DE 0.1# $# 1$0 "%.0 #1.0" 1%.1"1 0.$%0" 0.!' -48.75

    E 0.!0 "00 1$0 !#.! $.& 1."&% 0.0#'$ 0.!$ -24.99

    = -0.239 0.8839 0.1#

    $

    FE 0.!0 "$# 1$0 '!.0 $!.#& 1".1 0.1!' 0.1& 82.16

    EH 0.!0 "00 1$0 "".! 10.$ ".1"' 0.0%$% 0.!! 44.40

    HG 0.1# "1# 1$0 "1. $.'% 1#.!& 0.$&' 0.0' -41.66

    GF 0.!# $%0 1$0 &$. &.'% !.&' 0.0"!! 0.0' -63.66

    0 = -0.100 0.6856 0.0'

    "

    ED 0.1# $# 1$0 "%.0 #1.0" 1%.1"1 0.$%0" 0.!' 48.75

    DI 0.!0 "00 1$0 &.1 !'.$" 11.$$' 0.1"%0 0.1" 75.93

    IH 0.1# "00 1$0 ##.% .1$ !&.0#$ 0."' 0.1" -56.07

    HE 0.!0 "00 1$0 "".! 10.$ ".1"' 0.0%$% 0.!! -44.40

    = 0.278 1.0991 0.1"

    LAZO OCIRCUITO

    CAUDALSUPUESTO h/QO Q1 (L*/+)

    QO(L*/+)

    LAZO OCIRCUITO

    SUPUESTO

    h/QO Q1 (L*/+)QO(L*/+)

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    TRAMODIAMETROLONGITUD COEF. PERDIDA DE CARGA

    Q

    D (m) L (m) C1 J (m/1000m) h (m)

    1A 0.!0 "#0 1$0 11.! &$.0 !'.$% 0.!"!! 0.0" 117.22E 0.!0 "00 1$0 !#.0 $.&1 1.""# 0.0#' 0.10 25.10

    EF 0.!0 "$# 1$0 '!.! $!.&% 1".!1' 0.1$1 0.0' -82.08

    FA 0.!# "#0 1$0 1#!.' $". 1#.&" 0.10!" 0.0" -152.78

    = -0.041 0.5754 0.0"

    !

    C 0.1# $#0 1$0 "'.! "%."" 1.$0$ 0.$#%1 0.0 48.12

    CD 0.!0 $#0 1$0 "1.! %.11 $.1' 0.0" 0.0 41.12

    DE 0.1# $# 1$0 "'. #0.#0 1'.%$ 0.$''# 0.1! -48.87

    E 0.!0 "00 1$0 !#.0 $.&1 1.""# 0.0#' 0.10 -25.10

    = 0.108 0.8827 0.0

    $

    FE 0.!0 "$# 1$0 '!.! $!.&% 1".!1' 0.1$1 0.0' 82.08

    EH 0.!0 "00 1$0 ""." 10."& ".1'& 0.0%"$ 0.10 44.30

    HG 0.1# "1# 1$0 "1. $.& 1#.&1 0.$&! 0.0" -41.70

    GF 0.!# $%0 1$0 &$. &.'' !.&'1 0.0"!1 0.0" -63.70

    0 = 0.051 0.6856 0.0"

    "

    ED 0.1# $# 1$0 "'. #0.#0 1'.%$ 0.$''# 0.1! 48.87

    DI 0.!0 "00 1$0 #.% !'.!# 11.$00 0.1"'' 0.0& 75.99

    IH 0.1# "00 1$0 #&.1 ."$ !&.11 0."&&' 0.0& -56.01

    HE 0.!0 "00 1$0 ""." 10."& ".1'& 0.0%"$ 0.10 -44.30

    = -0.119 1.0984 0.0&

    TRAMODIAMETROLONGITUD COEF. PERDIDA DE CARGA

    Q

    D (m) L (m) C1 J (m/1000m) h (m)

    1

    A 0.!0 "#0 1$0 11.! &$.10 !'.$% 0.!"!$ 0.0! 117.20

    E 0.!0 "00 1$0 !#.1 $.&" 1."#& 0.0#'0 0.0# 25.05

    EF 0.!0 "$# 1$0 '!.1 $!.&$ 1".1%$ 0.1!% 0.0" -82.12

    FA 0.!# "#0 1$0 1#!.' $".# 1#.&$% 0.10!" 0.0! -152.80

    = 0.020 0.5755 0.0!

    !

    C 0.1# $#0 1$0 "'.1 "%.$1 1.!#% 0.$#'& 0.0$ 48.15

    CD 0.!0 $#0 1$0 "1.1 %.0' $.1 0.0$ 0.0$ 41.15

    DE 0.1# $# 1$0 "'.% #0." 1%.0! 0.$'%$ 0.0& -48.81

    E 0.!0 "00 1$0 !#.1 $.&" 1."#& 0.0#'0 0.0# -25.05

    = -0.046 0.8833 0.0$

    $

    FE 0.!0 "$# 1$0 '!.1 $!.&$ 1".1%$ 0.1!% 0.0" 82.12

    EH 0.!0 "00 1$0 "".$ 10."! ".1&' 0.0%"1 0.0" 44.35HG 0.1# "1# 1$0 "1. $.'$ 1#.00 0.$ 0.0! -41.68

    GF 0.!# $%0 1$0 &$. &.'' !.&'" 0.0"!1 0.0! -63.68

    0 = -0.023 0.6856 0.0!

    "

    ED 0.1# $# 1$0 "'.% #0." 1%.0! 0.$'%$ 0.0& 48.81

    DI 0.!0 "00 1$0 &.0 !'.!% 11.$1& 0.1"'% 0.0$ 75.97

    IH 0.1# "00 1$0 #&.0 .$0 !&.1!0 0."&&" 0.0$ -56.03

    HE 0.!0 "00 1$0 "".$ 10."! ".1&' 0.0%"1 0.0" -44.35

    = 0.055 1.0987 0.0$

    LAZO OCIRCUITO

    CAUDALSUPUESTO h/QO Q1 (L*/+)

    QO(L*/+)

    LAZO OCIRCUITO

    CAUDALSUPUESTO h/QO Q1 (L*/+)

    QO(L*/+)

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    TRAMODIAMETROLONGITUD COEF. PERDIDA DE CARGA

    Q

    D (m) L (m) C1 J (m/1000m) h (m)

    1A 0.!0 "#0 1$0 11.! &$.0' !'.$'' 0.!"!! 0.01 117.21E 0.!0 "00 1$0 !#.0 $.&$ 1."#1 0.0#% 0.0! 25.07

    EF 0.!0 "$# 1$0 '!.1 $!. 1".!0# 0.1$0 0.0! -82.10

    FA 0.!# "#0 1$0 1#!.' $".& 1#.&"$ 0.10!" 0.01 -152.79

    = -0.009 0.5755 0.01

    !

    C 0.1# $#0 1$0 "'.! "%.$& 1.!' 0.$#'' 0.01 48.14

    CD 0.!0 $#0 1$0 "1.! %.0% $.1'1 0.0$ 0.01 41.14

    DE 0.1# $# 1$0 "'.' #0.&$ 1'.%' 0.$'%0 0.0! -48.84

    E 0.!0 "00 1$0 !#.0 $.&$ 1."#1 0.0#% 0.0! -25.07

    = 0.021 0.8830 0.01

    $

    FE 0.!0 "$# 1$0 '!.1 $!. 1".!0# 0.1$0 0.0! 82.10

    EH 0.!0 "00 1$0 "".$ 10."" ".1& 0.0%"! 0.0! 44.33

    HG 0.1# "1# 1$0 "1. $.'0 1#.&' 0.$&$ 0.01 -41.69

    GF 0.!# $%0 1$0 &$. &.'' !.&'$ 0.0"!1 0.01 -63.69

    0 = 0.011 0.6856 0.01

    "

    ED 0.1# $# 1$0 "'.' #0.&$ 1'.%' 0.$'%0 0.0! 48.84

    DI 0.!0 "00 1$0 &.0 !'.! 11.$0% 0.1"'% 0.01 75.98

    IH 0.1# "00 1$0 #&.0 .$& !&.1"$ 0."&&& 0.01 -56.02

    HE 0.!0 "00 1$0 "".$ 10."" ".1& 0.0%"! 0.0! -44.33

    = -0.024 1.0986 0.01

    TRAMODIAMETROLONGITUD COEF. PERDIDA DE CARGA

    Q

    D (m) L (m) C1 J (m/1000m) h (m)

    1

    A 0.!0 "#0 1$0 11.! &$.0% !'.$%! 0.!"!! 0.00 117.20

    E 0.!0 "00 1$0 !#.1 $.&$ 1."#$ 0.0#'0 0.01 25.06

    EF 0.!0 "$# 1$0 '!.1 $!.&" 1".1%% 0.1$0 0.01 -82.11

    FA 0.!# "#0 1$0 1#!.' $".& 1#.&"1 0.10!" 0.00 -152.80

    = 0.004 0.5755 0.00

    !

    C 0.1# $#0 1$0 "'.1 "%.$" 1.!&% 0.$#' 0.01 48.14

    CD 0.!0 $#0 1$0 "1.1 %.0' $.1'0 0.0$ 0.01 41.14

    DE 0.1# $# 1$0 "'.' #0.&' 1%.00# 0.$'%1 0.01 -48.83

    E 0.!0 "00 1$0 !#.1 $.&$ 1."#$ 0.0#'0 0.01 -25.06

    = -0.009 0.8831 0.01

    $

    FE 0.!0 "$# 1$0 '!.1 $!.&" 1".1%% 0.1$0 0.01 82.11

    EH 0.!0 "00 1$0 "".$ 10."$ ".1$ 0.0%"1 0.01 44.34HG 0.1# "1# 1$0 "1. $.'1 1#.&%$ 0.$&" 0.00 -41.69

    GF 0.!# $%0 1$0 &$. &.'' !.&'" 0.0"!1 0.00 -63.69

    0 = -0.005 0.6856 0.00

    "

    ED 0.1# $# 1$0 "'.' #0.&' 1%.00# 0.$'%1 0.01 48.83

    DI 0.!0 "00 1$0 &.0 !'.!' 11.$1! 0.1"'% 0.01 75.97

    IH 0.1# "00 1$0 #&.0 .$$ !&.1$$ 0."& 0.01 -56.03

    HE 0.!0 "00 1$0 "".$ 10."$ ".1$ 0.0%"1 0.01 -44.34

    = 0.011 1.0986 0.01

    LAZO OCIRCUITO

    CAUDALSUPUESTO h/QO Q1 (L*/+)

    QO(L*/+)

    LAZO OCIRCUITO

    CAUDALSUPUESTO h/QO Q1 (L*/+)

    QO(L*/+)

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    TRAMODIAMETROLONGITUD COEF. PERDIDA DE CARGA

    Q

    D (m) L (m) C1 J (m/1000m) h (m)

    1A 0.!0 "#0 1$0 11.! &$.0% !'.$%0 0.!"!! 0.00 117.21E 0.!0 "00 1$0 !#.1 $.&$ 1."#! 0.0#% 0.00 25.07

    EF 0.!0 "$# 1$0 '!.1 $!. 1".!0! 0.1$0 0.00 -82.10

    FA 0.!# "#0 1$0 1#!.' $".& 1#.&"! 0.10!" 0.00 -152.79

    = -0.002 0.5755 0.00

    !

    C 0.1# $#0 1$0 "'.1 "%.$# 1.!$ 0.$#'' 0.00 48.14

    CD 0.!0 $#0 1$0 "1.1 %.0% $.1'0 0.0$ 0.00 41.14

    DE 0.1# $# 1$0 "'.' #0.&& 1'.%% 0.$'%1 0.00 -48.83

    E 0.!0 "00 1$0 !#.1 $.&$ 1."#! 0.0#% 0.00 -25.07

    = 0.004 0.8831 0.00

    $

    FE 0.!0 "$# 1$0 '!.1 $!. 1".!0! 0.1$0 0.00 82.10

    EH 0.!0 "00 1$0 "".$ 10."" ".1" 0.0%"1 0.00 44.33

    HG 0.1# "1# 1$0 "1. $.'1 1#.&%0 0.$&" 0.00 -41.69

    GF 0.!# $%0 1$0 &$. &.'' !.&'$ 0.0"!1 0.00 -63.69

    0 = 0.002 0.6856 0.00

    "

    ED 0.1# $# 1$0 "'.' #0.&& 1'.%% 0.$'%1 0.00 48.83

    DI 0.!0 "00 1$0 &.0 !'.!' 11.$11 0.1"'% 0.00 75.97

    IH 0.1# "00 1$0 #&.0 .$# !&.1$' 0."& 0.00 -56.03

    HE 0.!0 "00 1$0 "".$ 10."" ".1" 0.0%"1 0.00 -44.33

    = -0.005 1.0986 0.00

    LAZO OCIRCUITO

    CAUDALSUPUESTO h/QO Q1 (L*/+)

    QO(L*/+)

  • 7/25/2019 VIERENDEL.xls

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    ejerci !r!"e#$ %

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