concreto ii 2016
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FR
DATOS
L 4.00 4.00
Peralte = L/25 0.16 0.16
Peralte: h = 0.2 0.2
METRADO DE CARGAS
Carga !erta = "#
$e%& '(g!eta )g/* 300 )g/* 300
$e%& a+a,a#& )g/* 100 )g/* 100
$e%& ta,!(-!e )g/* 130 )g/* 130
530 530
Carga '('a = "l
S/C )g/* 250 )g/* 250
OTRAS CARGAS )g/* )g/*
250 250 D "# 1.5 1.5
D "L 1. 1.
"= C# "#Cl"l 1245 1245
A+h& #e '(g!eta = ' 0.4 0.4
"! = "' 4 4
Calculo de M.E.P.
664.00 664.00 664.00 66
R(g(#e+e% 6.00 6.00
6.00 56.00 6.00 6
0 0.43 0.5 0.43
CROSS: A B
K(-1) 0.00 0.43 0.5 0.43M.E.P. 664.00 664.00 664.00 66
664.00 0.00
1ra 0 0 0 0 124.
0 0 62.46 0
0 62.46
2#a 0 0 26.6 35.6 35.6
13.43 0 1. 1.
13.43 1.
3ra 0 0 .65 10.15 1.
3.3 0 . 5.0
3.3 .
4ta 0 0 3.3 5.0 6.
1.2 0 3.5 2.54
1.2 3.5 5ta 0 0 1.51 2 5.
0.6 0 3 1
0.6 3
6ta 0 0 1.2 1.1 1.3
0.65 0 0. 0.6
0.65 0.
a 0 0 0.3 0.4 1.6
0.15 0 0.4 0.2
0.15 0.4
'a 0 0 0.36 0.4 0.3
0.1 0 0.15 0.24
0.1 0.15
a 0 0 0.06 0.0 0.43
0.03 0 0.22 0.050.03 0.22
10a 0 0 0.0 0.13 0.0
Wd
Wl
M(= M# = "! L*/12
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0 0.01
1a 0 0 0 0.01 0.01
0 0 0.01 0.01
0 0.01
20a 0 0 0 0.01 0.01
0 0 0.01 0.01
0 0.01
21a 0 0 0 0.01 0.01
0 0 0.01 0.01
0 0.01
0 642.600 06.0100 06.0100 46.
7al&r A,%&l!t& #e Mt&%. 0 642.600 06.0100 06.0100 46.
ANA!S!S TRAMO POR TRAMO
R(= "! L/2 8 M( M#9/L 0.24 104.3
R# = "! L R( 1011.6 43.63
89 = R( / "! 1. 2.11
;89=L 89 2.0300 1.00
321.00 3.400
".#$ ".#%
".' ".&$
,: a+h& #e a$&
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DATOS
L 4.00
Peralte = L/25 0.16
Peralte: h = 0.2
METRADO DE CARGAS
Carga !erta = "#
$e%& '(g!eta )g/* 300
$e%& a+a,a#& )g/* 100
$e%& ta,!(-!e )g/* 130
530
Carga '('a = "l
S/C )g/* 250
OTRAS CARGAS )g/*250
D "# 1.5
D "L 1.
"= C# "#Cl"l 1245
A+h& #e '(g!eta = ' 0.4
"! = "' 4
Calculo de M.E.P.
664.00 664.00
R(g(#e+e% 6.00
6.00 56.00
0 0.43
CROSS: AK(-1) 0.00 0.43
M.E.P. 664.00 664.00
664.00
1ra 0 0 0
0 0
02#a 0 0 3.34
1.6 0
1.6
3ra 0 0 11.21
5.61 0
5.61
4ta 0 0 5.61
2.1 0
Wd
Wl
M(= M# = "! L*/12
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2.1
5ta 0 0 1.5
0. 0
0.
6ta 0 0 1.3
0.6 0
0.6a 0 0 0.2
0.14 0
0.14
'a 0 0 0.34
0.1 0
0.1
a 0 0 0.05
0.03 0
0.03
10a 0 0 0.00.04 0
0.04
11a 0 0 0.01
0.01 0
0.01
12a 0 0 0.02
0.01 0
0.01
13a 0 0 0
0 0
0
14a 0 0 0.01
0.01 0
0.01
15a 0 0 0
0 0
0
16a 0 0 0
0 0
0
1a 0 0 0
0 0
0
1a 0 0 0
0 0
0
1a 0 0 0
0 0
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0
20a 0 0 0
0 0
0
21a 0 0 0
0 0
0
0 633.300 24.0600
7al&r A,%&l!t& #e Mt&%. 0 633.300 24.0600
ANA!S!S TRAMO POR TRAMO
R(= "! L/2 8 M( M#9/L 3.4
R# = "! L R( 101.53
89 = R( / "! 1.5
;89=L 89 2.0500
31.5200
".#$".'1
,: a+h& #e a$&
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,
l/16
(e@(&e%
( C1 0.3
# C1 0.1
1.25 1.35
A%89 3/ 1/2
A%89 3/
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FR 2
4.00 3.00
0.16 0.12
0.2 0.2
)g/* 300 )g/* 300
)g/* 100 )g/* 100
)g/* 130 )g/* 130
530 530
)g/* 250 )g/*
)g/* )g/*250 0
1.5 1.5
1. 1.
1245 5
0.4 0.4
4 31
664.00 664.00 23.50 23.50
6.00 1024.00
6.00 6.00 1024.00 1024.00
0.5 0.43 0.5 0.5
B C0.5 0.43 0.5 0.5
664.00 664.00 23.50 23.50
0.00 425.5
0 12. 242.54 242.54
1.4 0 121.2 121.2
1.4 121.252.15 52.15 6.12 6.12
26.0 26.0 34.56 34.56
26.0 60.64
14. 26.0 34.56 22.
13.04 .44 11.5 1.2
13.04 1.4
.43 .14 10. 22.1
4.0 3.2 11.0 5.4
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4.0 14.1
2.32 6.3 .44 3.51
3.1 1.16 1.6 4.22
3.1 2.2
1.2 1.26 1.66 5.4
0.63 0.1 2. 0.3
0.63 3.610.36 1.55 2.06 0.6
0. 0.1 0.3 1.03
0. 0.4
0.44 0.21 0.2 1.2
0.11 0.22 0.65 0.14
0.11 0.
0.06 0.3 0.5 0.12
0.1 0.03 0.06 0.25
0.1 0.0
0.11 0.04 0.05 0.310.02 0.06 0.16 0.03
0.02 0.22
0.01 0.0 0.13 0.03
0.05 0.01 0.02 0.0
0.05 0.03
0.03 0.01 0.02 0.0
0.01 0.02 0.04 0.01
0.01 0.06
0.01 0.03 0.03 0.01
0.02 0.01 0.01 0.02
0.02 0.02
0.01 0.01 0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
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0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
24.000 424.500 424.5600 421.500
24.000 424.500 424.5600 421.500
100. 4.
21.12 46.01
2.15 1.5
1.500 1.5000
42.3200 65.3200
".#% E:"2".% E:"2
0.4 0.4
0.2 0.2
1.2 414.3
21.52 412.41
4.3 322.6
230.3 320.02
42.32 65.32
(?2852.2a,%8M@9100/444.069
a(?2835.21a,%8M89100/1111.69
0.3 0.53
0.3 0.52
0.6 0.1
1/2 3/
3/ 3/
3/ 3/
0.1524
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0.4
0.25
0.4
0.4 Err:502
0.54
0.5 0.55 Err:502 F7ALBE
1/2 3/ 3/ 3/
3/ 3/
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4.00 4.00
0.16 0.16
0.2 0.2
)g/* 300 )g/* 300
)g/* 100 )g/* 100
)g/* 130 )g/* 130
530 530
)g/* 250 )g/* 250
)g/* )g/*250 250
1.5 1.5
1. 1.
1245 1245
0.4 0.4
4 4
664.00 664.00 664.00 664.00
6.00 6.00
6.00 6.00 6.00 6.00
0.43 0.50 0.50 0.5
D E0.43 0.50 0.50 0.5
664.00 664.00 664.00 664.00
425.5 0.00
12. 0 0 136.
0 1.4 6.4 0
121.2 23.052.15 11.55 11.55 120.4
5. 26.0 60.42 5.
40.34 6.5
1.35 43.25 43.25 11.41
21.63 .6 5.1 21.63
3.1 2.
16.3 1.4 1.4 25.32
0.5 .3 12.66 0.5
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6.15 21.03
2.64 10.52 10.52 0.
5.26 1.32 0.4 5.26
.4 0.2
4.0 0.46 0.46 5.2
0.23 2.04 2.6 0.23
1.06 4.0.46 2.45 2.45 0.04
1.23 0.23 0.02 1.23
2.26 0.25
0. 0.13 0.13 1.32
0.0 0.4 0.66 0.0
0.21 1.15
0.0 0.5 0.5 0.05
0.2 0.05 0.03 0.2
0.54 0.0
0.23 0.04 0.04 0.310.02 0.12 0.16 0.02
0.05 0.2
0.02 0.14 0.14 0.02
0.0 0.01 0.01 0.0
0.14 0.02
0.06 0.01 0.01 0.0
0.01 0.03 0.04 0.01
0.02 0.0
0.01 0.04 0.04 0.01
0.02 0.01 0.01 0.02
0.04 0.02
0.02 0.01 0.01 0.02
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
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0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
421.500 32.2600 32.3000 633.3400
421.500 32.2600 32.3000 633.3400
1.33 1020.4
103.6 1.26
1.4 2.05
2.1600 1.500
425.1300 313.00
".% ".'$".# ".#$
0.4 0.4
0.2 0.2
1.3 21.14
4.0 1.66
22.6 51.1
50.5 42.13
425.13 313.
0.3 0.6
0.4 0.1
0.6 0.4
3/ 1/2
1/2 3/
3/ 3/
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0.54 0.3
0.5 0.3
0.55 0.5 0.5 0.5
3/ 1/2 1/2 3/
3/ 3/
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4.00
0.16
0.2
)g/* 300
)g/* 100
)g/* 130
530
)g/*
)g/*0
1.5
1.
5
0.4
31
424.00 424.00
6.00
56.00 6.00
0.43 1
F0.43 1.00
424.00 424.00
240 424.00
103.2 424 0 0
212 51.6 0 0
212 51.61.16 51.6 0 0
25. 45.5 0 0
20.02 45.5
.61 45.5 0 0
22. 4.31 0 0
44.42 4.31
1.1 4.31 0 0
2.16 .55 0 0
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1.41 .55
0.61 .55 0 0
4. 0.31 0 0
10.04 0.31
4.32 0.31 0 0
0.16 2.16 0 0
0.0 2.160.03 2.16 0 0
1.0 0.02 0 0
2.31 0.02
0. 0.02 0 0
0.01 0.5 0 0
0.0 0.5
0.03 0.5 0 0
0.25 0.02 0 0
0.54 0.02
0.23 0.02 0 00.01 0.12 0 0
0.03 0.12
0.01 0.12 0 0
0.06 0.01 0 0
0.13 0.01
0.06 0.01 0 0
0.01 0.03 0 0
0.02 0.03
0.01 0.03 0 0
0.02 0.01 0 0
0.04 0.01
0.02 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
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0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
633.3600 0.0100
633.3600 0.0100
4.34
4.66
2.5
1.5000
35.400
".''"
0.4
0.2
30.4
414.06
46.13
101.
35.4
0.
0.1
0.56
1/2
3/
3/
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0.
0
1 0
1/2 3/
3/
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EMPOTRADO 0
APOADO 1
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DATOS
L 4.00
Peralte = L/25 0.16
Peralte: h = 0.2
METRADO DE CARGAS
Carga !erta = "#
$e%& '(g!eta )g/* 300
$e%& a+a,a#& )g/* 100
$e%& ta,!(-!e )g/* 130
530
Carga '('a = "l
S/C )g/*
OTRAS CARGAS )g/*0
D "# 1.5
D "L 1.
"= C# "#Cl"l 5
A+h& #e '(g!eta = ' 0.4
"! = "' 31
Calculo de M.E.P.
424.00 424.00
R(g(#e+e% 6.00
6.00 56.00
0 0.43
CROSS: AK(-1) 0.00 0.43
M.E.P. 424.00 424.00
424.00
1ra 0 0 103.2
51.6 0
51.62#a 0 0 26.6
13.43 0
13.43
3ra 0 0 .65
3.3 0
3.3
4ta 0 0 2.25
1.13 0
Wd
Wl
M(= M# = "! L*/12
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1.13
5ta 0 0 1.1
0.5 0
0.5
6ta 0 0 0.6
0.43 0
0.43a 0 0 0.21
0.11 0
0.11
'a 0 0 0.26
0.13 0
0.13
a 0 0 0.04
0.02 0
0.02
10a 0 0 0.00.04 0
0.04
11a 0 0 0.01
0.01 0
0.01
12a 0 0 0.02
0.01 0
0.01
13a 0 0 0
0 0
0
14a 0 0 0
0 0
0
15a 0 0 0
0 0
0
16a 0 0 0
0 0
0
1a 0 0 0
0 0
0
1a 0 0 0
0 0
0
1a 0 0 0
0 0
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0
20a 0 0 0
0 0
0
21a 0 0 0
0 0
0
0 352.600 566.6000
7al&r A,%&l!t& #e Mt&%. 0 352.600 566.6000
ANA!S!S TRAMO POR TRAMO
R(= "! L/2 8 M( M#9/L 52.52
R# = "! L R( 6.4
89 = R( / "! 1.3
;89=L 89 2.100
10.00
".1.1
,: a+h& #e a$&
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,
l/16
(e@(&e%
( C1 0.
# C1 1.1
1.2 1.5
A%89 3/ 3/
A%89 3/
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FR 2
4.00 3.00
0.16 0.12
0.2 0.2
)g/* 300 )g/* 300
)g/* 100 )g/* 100
)g/* 130 )g/* 130
530 530
)g/* 250 )g/* 250
)g/* )g/*250 250
1.5 1.5
1. 1.
1245 1245
0.4 0.4
4 4
664.00 664.00 33.50 33.50
6.00 1024.00
6.00 6.00 1024.00 1024.00
0.5 0.43 0.5 0.5
B C0.5 0.43 0.5 0.5
664.00 664.00 33.50 33.50
240.00 20.5
136. 124.2 165.5 2.
62.46 6.4 14.4 2.
62.46 2.35.6 35.6 4.2 13
1. 1. 6.5 23.6
1. 24.3
10.15 10.45 13.5 15
5.23 5.0 .5 6.3
5.23 12.5
2. 5.41 .1 15.
2.1 1.4 .5 3.5
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2.1 .34
1.54 4.02 5.32 2.6
2.01 0. 1.4 2.66
2.01 2.25
1.15 0. 1.2 4.3
0.4 0.5 2.2 0.64
0.4 2.0.2 1.2 1.5 0.6
0.6 0.14 0.3 0.
0.6 0.44
0.34 0.1 0.25 1.11
0.1 0.1 0.56 0.13
0.1 0.3
0.06 0.31 0.42 0.14
0.16 0.03 0.0 0.21
0.16 0.1
0.0 0.04 0.06 0.20.02 0.05 0.14 0.03
0.02 0.1
0.01 0.0 0.11 0.03
0.04 0.01 0.02 0.06
0.04 0.03
0.02 0.01 0.02 0.0
0.01 0.01 0.04 0.01
0.01 0.05
0.01 0.02 0.03 0.01
0.01 0.01 0.01 0.02
0.01 0.02
0.01 0.01 0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
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0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.01 0.02
566.6100 55.3200 55.3100 334.1100
566.6100 55.3200 55.3100 334.1100
3.2 2.4
.1 666.6
2 1.66
2.0000 1.3400
425.0300 112.0300
".&' ".''". ".&
0.4 0.4
0.2 0.2
4.22 2.
.5 56
35. 3.
365.2 10.3
425.03 112.03
(?2852.2a,%8M@9100/444.069
a(?2835.21a,%8M89100/1111.69
0.5 0.66
0.6 0.31
0.6 0.1
3/ 3/
3/ 3/
3/ 3/
0.1524
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0.4
0.25
0.4
0.6 0.
0. 0.6
0. 0. 1 0.
3/ 3/ 3/ 3/
3/ 3/
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4.00 4.00
0.16 0.16
0.2 0.2
)g/* 300 )g/* 300
)g/* 100 )g/* 100
)g/* 130 )g/* 130
530 530
)g/* )g/* 250
)g/* )g/*0 250
1.5 1.5
1. 1.
5 1245
0.4 0.4
31 4
424.00 424.00 664.00 664.00
6.00 6.00
6.00 6.00 6.00 6.00
0.43 0.50 0.50 0.5
D E0.43 0.50 0.50 0.5
424.00 424.00 664.00 664.00
50.5 240.00
21.2 120 120 0
60 10.6 0 60
22. 10.6. 5.43 5.43 155.04
2.2 4. .52 2.2
26.32 2.42
11.32 41.21 41.21 1.55
20.61 5.66 0. 20.61
2.54 6.44
11.4 3.22 3.22 2.41
1.61 5.2 14.21 1.61
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5.2 20.13
2.24 10.0 10.0 1.0
5.04 1.12 0.55 5.04
. 1.6
3.31 0.4 0.4 5.3
0.42 1.66 2. 0.42
1.06 4.630.46 2.32 2.32 0.36
1.16 0.23 0.1 1.16
1.5 0.41
0.4 0.21 0.21 1.3
0.11 0.42 0.65 0.11
0.24 1.0
0.1 0.54 0.54 0.1
0.2 0.05 0.05 0.2
0.4 0.1
0.21 0.05 0.05 0.30.03 0.11 0.15 0.03
0.06 0.26
0.03 0.13 0.13 0.03
0.0 0.02 0.02 0.0
0.13 0.04
0.06 0.02 0.02 0.0
0.01 0.03 0.04 0.01
0.02 0.0
0.01 0.04 0.04 0.01
0.02 0.01 0.01 0.02
0.04 0.02
0.02 0.01 0.01 0.02
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
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0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
0.01 0.01 0.01 0.01
0.01 0.01 0.01 0.01
0.02 0.02
334.1200 510.100 510.500 6.1300
334.1200 510.100 510.500 6.1300
51. 02.21
60.2 10.
1.6 1.1
2.1400 2.100
216.5500 306.3000
".&' ".".' 1."#
0.4 0.4
0.2 0.2
52.2 02.61
616.6 0.1
20.4 320.55
36.51 65.21
216.55 306.3
0.34 0.52
0.6 1.11
0.34 0.4
3/ 3/
3/ 1/2
3/ 3/
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0.6 0.
0. 1.0
0. 1 0. 1.1
3/ 3/ 3/ 1/2
3/ 3/
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4.00
0.16
0.2
)g/* 300
)g/* 100
)g/* 130
530
)g/* 250
)g/*250
1.5
1.
1245
0.4
4
664.00 664.00
6.00
56.00 6.00
0.43 1
F0.43 1.00
664.00 664.00
0 664.00
0 664 0 0
332 0 0 0
22 0116.6 0 0 0
0 5.4 0 0
2.2 5.4
1.1 5.4 0 0
2.24 0.5 0 0
4.5 0.5
21.44 0.5 0 0
0.3 10.2 0 0
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1.1 10.2
0.2 10.2 0 0
5.36 0.41 0 0
10.4 0.41
4.4 0.41 0 0
0.21 2.24 0 0
0.63 2.240.2 2.24 0 0
1.12 0.14 0 0
2.2 0.14
0. 0.14 0 0
0.0 0.4 0 0
0.1 0.4
0.0 0.4 0 0
0.25 0.04 0 0
0.52 0.04
0.22 0.04 0 00.02 0.11 0 0
0.05 0.11
0.02 0.11 0 0
0.06 0.01 0 0
0.13 0.01
0.06 0.01 0 0
0.01 0.03 0 0
0.02 0.03
0.01 0.03 0 0
0.02 0.01 0 0
0.04 0.01
0.02 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
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0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
0.01 0.01 0 0
0.01 0.01 0 0
0.02 0.01
6.1500 0.0100
6.1500 0.0100
121.54
4.46
2.44
1.5600
602.2100
".#'"
0.4
0.2
111.4
64.6
632.6
164.4
602.21
1.0
0.2
0.5
1/2
3/
1/2
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0.
0
0. 0
1/2 3/
1/2
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EMPOTRADO 0
APOADO 1
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