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Transcript of VIERENDEL.xls
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7/25/2019 VIERENDEL.xls
1/18
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
-
7/25/2019 VIERENDEL.xls
2/18
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*/+)
-
7/25/2019 VIERENDEL.xls
3/18
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*/+)
-
7/25/2019 VIERENDEL.xls
4/18
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*/+)
-
7/25/2019 VIERENDEL.xls
5/18
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*/+)
-
7/25/2019 VIERENDEL.xls
6/18
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
7/18
ejerci !r!"e#$ %
!r &'r() cr## (e#'rr**' e* #"+"ie,$e circ"i$ #'ie,( /"e% C=150
(piesseg)
-
7/25/2019 VIERENDEL.xls
8/18
-
7/25/2019 VIERENDEL.xls
9/18
-
7/25/2019 VIERENDEL.xls
10/18
-
7/25/2019 VIERENDEL.xls
11/18
-
7/25/2019 VIERENDEL.xls
12/18
-
7/25/2019 VIERENDEL.xls
13/18
L,- Q D A R L
MALLA I 1 0.$ 0." 0.1!#&&" !.$'$!" %#"%!%. 0.011&&" 1000
! 0." 0." 0.1!#&&" $.1'$0%% 1!$!"0 0.0110& 1000
" 0.1 0." 0.1!#&&" 0.%## $1'$0%.% 0.01"$#% 1000
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