Upload
franklin-morales
View
226
Download
0
Embed Size (px)
DESCRIPTION
Calculo de un puente, de 2 vanos,,
Citation preview
L1 L2
bs
t bs = 270
t = 20h
WDW = 0.33
bw
MU= 1,25MDC + 1,50MDW + 1,75MLLFy = 4200 = 0.9rinf = 7.5 cmrsup = 10.0 cm
CARGA VIVAUniforme Camin
WLL = 0.65 t/m 3.28 13.12P1 P2
S1 S2
Grup f'c S1 S2 L1 L2 bw h210 4.00 4.75 18.50 16.40 0.40 1.45
kg/cm2
CARGA MUERTA PESO PROPIO
WDC = 3.271 t/m
18.50 16.40
o o' 862.95 601.17M 0 125.856
Visos 30.26 30.26 26.82Vhip -6.80 6.80 7.67
Vtotal 23.45 37.06 34.50x/z 7.17 m 5.85
MDC max 84.08 t-m 56.05
CARGA MUERTA PESO PROPIO
WDW= 0.33 t/m
18.50 16.40
o o' 87.06 60.65M 0 12.70
Visos 3.053 3.053 2.71Vhip -0.69 0.69 0.77
Vtotal 2.366 3.74 3.48x/z 7.17 m 5.85
MDC max 8.483 t-m 5.654
CARGA VIVA Carga viva uniforme 1
WLL= 0.65 t/m
18.50 16.40
o o' 171.48 0.00M 0 14.74
Visos 6.01 6.01 0.00Vhip -0.80 0.80 0.90
Vtotal 5.22 6.81 0.90
x/z 7.17 m 5.85MDC max 20.69 t-m -5.26
Carga viva uniforme 2
WLL= 0.65
18.50 16.40
o o' 0.00 119.46M 0 10.27
Visos 0.00 0.00 5.33Vhip -0.56 0.56 0.63
Vtotal -0.56 0.56 5.96x/z 7.17 m 5.85
MDC max -3.98 t-m 16.40
Carga uniforme 3
WDW= 0.65 t/m
18.50 16.40
o o' 171.48 119.46M 0 25.01
Visos 6.01 6.01 5.33Vhip -1.35 1.35 1.52
Vtotal 4.66 7.36 6.85x/z 7.17 m 5.85
MDC max 16.71 t-m 11.14
CARGA VIVA CAMIN1er tramo posicin 1
7.17 11.334.00 4.75
P1 P2 P3
3.17 15.3311.92 6.58
18.50 16.40
P1 = 3.28 31.12 0.00P2 = 13.12 o' 246.49 0.00 oP3 = 13.12 282.01 0.00
559.62 0.00559.62
M 0 48.105Visos 15.42 15.42 0.00Vhip -2.60 2.60 2.93
Vtotal 12.82 18.02 2.93x/z 7.17 m 5.85
MDC max 78.79 t-m -17.17
1er tramo posicin 2
7.17 11.334.75 4.00
P3 P2 P1
2.42 16.0811.17 7.33
18.50 16.40
P3 = 13.12 96.23 0.00P2 = 13.12 o' 246.49 0.00 oP1 = 3.28 71.78 0.00
414.50 0.00414.50
M 0 35.63Visos 20.74 20.74 0.00Vhip -1.93 1.93 2.17
Vtotal 18.81 22.66 2.17x/z 7.17 m 5.85
MDC max 72.57 t-m -12.72
2do tramo posicin 1
10.554.00
P1
6.5515.30
18.50 16.40
P1 = 3.28 0 56.45P2 = 13.12 o' 0 183.18 oP3 = 13.12 0 39.41
0 279.04279.04
M 0 23.99Visos 0.00 0.00 21.98Vhip -1.30 1.30 1.46
Vtotal -1.30 1.30 23.45x/z 7.17 m 5.85
MDC max -9.30 t-m 57.80
2do tramo posicin 2
10.554.75
P3
5.8014.55
18.50 16.40
P3 = 13.12 0 221.29P2 = 13.12 o' 0 183.18 oP1 = 3.28 0 16.41
0 420.88420.88
M 0 36.18Visos 0.00 0.00 15.98Vhip -1.96 1.96 2.21
Vtotal -1.96 1.96 18.19x/z 7.17 m 5.85
MDC max -14.02 t-m 67.53
Momento negativo en el apoyo intermedio2 tramos, posicin 1
7.17 11.33 12.66 3.744.00 4.75 4.00 4.75
P1 P2 P3 P1 P2 P3
3.17 15.33 8.66 7.7411.92 6.58 17.41
18.50 16.40
P1 = 3.28 31.12 53.93P2 = 13.12 o' 246.49 127.14 oP3 = 13.12 282.01
559.62 181.08740.69
M 0 63.67Visos 15.42 15.42 21.98Vhip -3.44 3.44 3.88
Vtotal 11.98 18.86 25.87x/z 7.17 m 3.74
MDC max 72.76 t-m 5.37
2 tramos, posicin 2
7.17 11.33 12.66 3.744.75 4.00 4.75 4.00
P3 P2 P1 P3 P2 P1
2.42 16.08 7.91 8.4911.17 7.33 16.66
18.50 16.40
P3 = 13.12 96.23 222.87P2 = 13.12 o' 246.49 127.14 oP1 = 3.28 71.78
414.50 350.01764.51
M 0 65.72Visos 20.74 20.74 19.79Vhip -3.55 3.55 4.01
Vtotal 17.19 24.29 23.80x/z 7.17 m 3.74
MDC max 60.91 t-m 45.90
.. MOMENTOS MXIMOS DE CARGA VIVA
Momentos por carga uniforme
25.0120.69 16.40
Momentos por carga de camin
65.7278.79 67.53
Momentos por carga viva de camin + IMPACTO
IM= 1.3387.40
104.80 89.81
Momentos totales de carga viva + impacto
112.41125.49 106.21
RESMEN DE MOMENTOS DE LOS 3 ESTADOS DE CARGA
112.41312.70
125.86
84.08 56.058.48 5.65
125.49 106.21
MOMENTOS ULTIMOSMU = 1,25MDC + 1,50MDW + 1,75 MLL+IM
373.088337.429 264.409
ARMADURA
Armadura a flexin
Para Momento Positivof'c = 210
270 Fy= 4200bs= 270
20 bw= 40h= 145t= 20
145 137.5 = 0.9rinf= 7.5rsup= 10d(+) = 137.5
x x' 1 = 0.8540
MUL = x 0,85 fc bs 1 t (d - 1 t/2)MUL = 951.2247 t-m Muext
As calc =
b.) acero mnimo
Mcr = fr Ig/yt
fr = 2 yt = Ig =fr = 28.98 yt = 100.144231 Ig =
Mcr = 58.86 t-m
wmin = min = w f'c / Fy As min =wmin = 0.006 min = 0.00030613 As min =
As min = < min
c.) acero mximo
TRAMO A - Bc = (As Fy)/(0,85 f'c b ) t = 0,003 (dt - c)/cc = 7.421 t = 0.052586
0.052586 > 0,005
TRAMO B - Cc = (As Fy)/(0,85 f'c b ) t = 0,003 (dt - c)/cc = 5.772 t = 0.068467
0.068467 > 0,005
Para momento negativof'c = 210
270 Fy= 4200x x' bs= 270
20 bw= 40h= 145t= 20
145 135 = 0.9
^ )(
rinf= 7.5rsup= 10d(-) = 135
x x' 1 = 0.8540
MUL = x 0,85 fc bs 1 t (d - 1 t/2)MUL = 932.7901 t-m Muext < MUL Viga R de ancho bsMuext = 373.088 t-m
a.) acero calculado
w= frmula = w f'c / Fy As calc = bw dw= 0.3383121 = 0.0169156 As calc = 91.34
As calc = 12
b.) acero mnimo
Mcr = fr Ig/yt
fr = 2 yt = Ig =fr = 28.98 yt = 44.855769 Ig = 20336450.320513
Mcr = 131.40034
wmin = min = w f'c / Fy As min = bw dwmin = 0.0438514 min = 0.0021926 As min = 11.84
As min = 2 < min
c.) acero mximo
c = (As Fy)/(0,85 f'c b ) t = 0,003 (dt - c)/cc = 66.79 t = 0.003064
0.003064 < 0,005
= 0,65 + 0,15 (dt/ c-1) = 0.803
a.) acero calculado
w= frmula = w f'c / Fy As calc = bw dw= 0.3958898 = 0.0197945 As calc = 106.89
^ )(
As calc = 14
b.) acero mnimo
Mcr = fr Ig/yt
fr = 2 yt = Ig =fr = 270.00 yt = 44.855769 Ig = 20336450.320513
Mcr = 1224.1105
wmin = min = w f'c / Fy As min = bw dwmin = 0.0492993 min = 0.002465 As min = 13.31
As min = 2 < min
c.) acero mximo
c = (As Fy)/(0,85 f'c b ) t = 0,003 (dt - c)/cc = 77.92 t = 0.002198
RESOLUCION MEDIANTE EL USO DE MATRICES
Datosf'c= 210 b = 270Fy= 4200 h = 145S1 = 4.00 WDC = 3.271S2 = 4.75 r inf = 7.5L1 = 18.50 r sup = 10L2 = 16.40 P1 = 3.28
P2 = 13.12P3 = 13.12
MF M'F k = 4EI / La = k/2
12 12 E = 12000 f'c = 1738.965I = 0.203365 m4
CARGA MUERTA DC
WDC = 3.271 t/m
WL2 WL2
^ )(
18.50 16.40
MF MF 93.29 -93.29 73.31k 76.46 76.46 86.25a 38.23 43.13
93.29 -19.98 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = -93.2938.23 1 + 162.72 2 + 43.13 3 = 19.98
0.00 1 + 43.13 2 + 86.25 3 = 73.31
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
-1.3429 0.2455
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
R -1
R -1
0.00 -125.856 125.856
CARGA MUERTA DW
WDC = 0.33 t/m
18.50 16.40
MF MF 9.412 -9.41 7.40k 76.46 76.46 86.25a 38.23 43.13
9.412 -2.02 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = -9.4138.23 1 + 162.72 2 + 43.13 3 = 2.02
0.00 1 + 43.13 2 + 86.25 3 = 7.40
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
-0.1355 0.0248
0.00 -12.697 12.697
CARGA VIVA WLL1
WDC = 0.65 t/m
18.50 16.40
MF MF 18.54 -18.54 0.00k 76.46 76.46 86.25a 38.23 43.13
18.54 -18.54 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
R -1
R -1
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
76.46 1 + 38.23 2 + 0.00 3 = -18.5438.23 1 + 162.72 2 + 43.13 3 = 18.54
0.00 1 + 43.13 2 + 86.25 3 = 0.00
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
-0.3564 0.2279
0.00 -14.741 14.741
CARGA WLL2
WLL = 0.65 t/m
18.50 16.40
MF MF 0 0.00 14.57k 76.46 76.46 86.25a 38.23 43.13
0 14.57 k 76.46 162.72
a 38.23 43.13
R -1
R -1
MF
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = 0.0038.23 1 + 162.72 2 + 43.13 3 = -14.57
0.00 1 + 43.13 2 + 86.25 3 = 14.57
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
0.0895 -0.1791
0.00 -10.269 10.269
CARGA MUERTA DC
WDC = 0.65 t/m
18.50 16.40
ai i + A + ad d + m = 0ai i + A + ad d = -m
R -1
R -1
MF MF 18.54 -18.54 14.57k 76.46 76.46 86.25a 38.23 43.13
18.54 -3.97 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = -18.5438.23 1 + 162.72 2 + 43.13 3 = 3.97
0.00 1 + 43.13 2 + 86.25 3 = 14.57
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
-0.2668 0.0488
0.00 -25.010 25.010
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
R -1
R -1
CARGA VIVA CAMIN1er tramo posicin 1
7.17 11.334.00 4.75
P1 P2 P3
3.17 15.3311.92 6.58
18.50 16.40
Tramo 1MF MF P a b MF M'F
3.28 3.17 15.33 7.14 -1.4813.12 7.17 11.33 35.28 -22.3313.12 11.92 6.58 19.78 -35.840.00 0.00 0.000.00 0.00 0.00
62.21 -59.65
MF MF 62.21 -59.65 0.00k 76.46 76.46 86.25a 38.23 43.13
62.21 -59.65 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = -62.21
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
38.23 1 + 162.72 2 + 43.13 3 = 59.650.00 1 + 43.13 2 + 86.25 3 = 0.00
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
-1.1853 0.7436
0.00 -48.105 48.105
CARGA VIVA CAMIN1er tramo posicin 2
7.17 11.334.75 4
P3 P2 P1
2.420 16.0811.17 7.33
18.50 16.40
Tramo 1MF MF P a b MF M'F
13.12 2.42 16.08 23.99 -3.6113.12 7.17 11.33 35.28 -22.333.28 11.17 7.33 5.75 -8.760.00 0.00 0.000.00 0.00 0.00
R -1
R -1
65.02 -34.70
MF MF 65.02 -34.70 0.00k 76.46 76.46 86.25a 38.23 43.13
65.02 -34.70 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = -65.0238.23 1 + 162.72 2 + 43.13 3 = 34.70
0.00 1 + 43.13 2 + 86.25 3 = 0.00
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
-1.1258 0.5508
0.00 -35.630 35.630
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
R -1
R -1
CARGA VIVA CAMIN2do tramo posicin 1
10.554
P1
6.5515.30
18.50 16.40
Tramo 1MF MF P a b MF M'F
3.28 6.55 9.85 0.00 0.0013.12 10.55 5.85 0.00 0.0013.12 15.30 1.100.00 0.00 0.000.00 0.00 0.00
0.00 0.00
MF MF 0.00 0.00 26.29k 76.46 76.46 86.25a 38.23 43.13
0 26.29 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = 0.0038.23 1 + 162.72 2 + 43.13 3 = -26.29
0.00 1 + 43.13 2 + 86.25 3 = 49.51
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
0.2091 -0.4183
0.00 -23.986 23.986
CARGA VIVA CAMIN2do tramo posicin 2
10.554.75
P3
5.8014.55
18.50 16.40
Tramo 1MF MF P a b MF M'F
13.12 5.80 10.60 0.00 0.0013.12 10.55 5.85 0.00 0.003.28 14.55 1.850.00 0.00 0.000.00 0.00 0.00
0.00 0.00
R -1
R -1
MF MF 0.00 0.00 50.03k 76.46 76.46 86.25a 38.23 43.13
0 50.03 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = 0.0038.23 1 + 162.72 2 + 43.13 3 = -50.03
0.00 1 + 43.13 2 + 86.25 3 = 53.92
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
0.3154 -0.6309
0.00 -36.179 36.179
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
R -1
R -1
MOMENTO NEGATIVO EN EL APOYO INTERMEDIO posicin 1
7.17 11.33 12.664.00 4.75 4
P1 P2 P3 P1
3.17 15.33 8.6611.92 6.58
18.50 16.40
Tramo 1 Tramo 2 Tramo 1MF MF P a b a b MF M'F
3.28 3.17 15.33 8.66 7.74 7.14 -1.4813.12 7.17 11.33 12.66 3.74 35.28 -22.3313.12 11.92 6.58 19.78 -35.840.00 0.00 0.000.00 0.00 0.00
62.21 -59.65
MF MF 62.21 -59.65 14.96k 76.46 76.46 86.25a 38.23 43.13
62.21 -44.68 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = -62.2138.23 1 + 162.72 2 + 43.13 3 = 44.68
0.00 1 + 43.13 2 + 86.25 3 = 36.32
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
-1.0496 0.4722
0.00 -63.670 63.670
posicin 2
7.17 11.33 12.664.75 4 4.75
P3 P2 P1 P3
2.42 16.08 7.9111.17 7.33
18.50 16.40
Tramo 1 Tramo 2 Tramo 1MF MF P a b a b MF M'F
13.12 2.42 16.08 7.91 8.49 23.99 -3.6113.12 7.17 11.33 12.66 3.74 35.28 -22.333.28 11.17 7.33 0 0 5.75 -8.760.00 0.00 0.000.00 0.00 0.00
65.02 -34.70
R -1
R -1
MF MF 65.02 -34.70 36.45k 76.46 76.46 86.25a 38.23 43.13
65.02 1.74 k 76.46 162.72
a 38.23 43.13
RESOLUCION MATRICIAL DE GIROSUSANDO LA MATRIZ INVERSA
76.46 1 + 38.23 2 + 0.00 3 = -65.0238.23 1 + 162.72 2 + 43.13 3 = -1.74
0.00 1 + 43.13 2 + 86.25 3 = 55.15
R = -m
76.46 38.23 0.00R 38.23 162.72 43.13 -m
0.00 43.13 86.25
= -m
0.0151 -0.0041 0.0020-0.0041 0.0082 -0.0041 0.0020 -0.0041 0.0136
-0.8635 0.0261
0.00 -65.717 65.717
MF
ai i + A + ad d + m = 0ai i + A + ad d = -m
R -1
R -1
H
13.12P3
WDC3.271
026.82-7.6719.15
m t-m
02.71
-0.771.93
m t-m
00.00
-0.90-0.90
m t-m
t/m
05.33
-0.634.70
m t-m
05.33
-1.523.81
m t-m
00.00
-2.93-2.93
m t-m
00.00
-2.17-2.17
m t-m
5.854.75
P2 P3
9.851.10
021.98-1.4620.52
m t-m
5.854.00
P2 P1
10.601.85
015.98-2.2113.78
m t-m
3.74
7.74-1.01
021.98-3.8818.10
m t-m
3.74
P2 P1
8.49-0.26
019.79-4.0115.78
m t-m
MLL + IMMDWMDC
MDCMDW
MLL + IM
Muext
7 32 mm
20336450.3205
bs d11.36
2 32 mm
0,003 (dt - c)/c
No hace faltadisminuir
0,003 (dt - c)/c
No hace faltadisminuir
Muext < MUL Viga R de ancho bs
32 mm
20336450.320513
11.84 32 mm
0,003 (dt - c)/c
Se debe disminuir
32 mm
20336450.320513
13.31 32 mm
0,003 (dt - c)/c
t/m2
-73.3186.25
-73.3186.25
-93.319.9873.31
-1.34290.24555
0.7272
0.7272
0.00
-7.4086.25
-7.4086.25
-9.42.027.40
-0.13550.024770.07336
0.0734
0.00
0.0086.25
0.0086.25
-18.518.54
0.00
-0.35640.22786-0.1139
-0.1139
0.00
-14.5786.25
-14.5786.25
0.0-14.5714.57
0.08953-0.17910.25844
0.2584
0.00
-14.5786.25
-14.5786.25
-18.53.97
14.57
-0.26680.048790.14451
0.1445
0.00
Tramo 2MF M'F
0.00 0.000.00 0.00
0.00 0.00
0.0086.25
0.0086.25
-62.259.60.00
-1.18530.74361-0.3718
-0.3718
0.00
Tramo 2MF M'F
0.00 0.000.00 0.00
0.00 0.00
0.0086.25
0.0086.25
-65.034.70.00
-1.12580.55078-0.2754
-0.2754
0.00
5.854.75
P2 P3
9.851.10
Tramo 2MF M'F
7.75 -5.1517.63 -31.80.91 -12.600.00 0.000.00 0.0026.29 -49.51
-49.5186.25
-49.5186.25
0.0-26.349.51
0.20913-0.41830.7831
0.7831
0.00
5.854
P2 P1
10.601.85
Tramo 2MF M'F
31.79 -17.3817.63 -31.80.61 -4.780.00 0.000.00 0.0050.03 -53.92
-53.9286.25
-53.9286.25
0.0-50.053.92
0.31544-0.63090.94057
0.9406
0.00
3.74
P2 P3
7.74
Tramo 2MF M'F
6.33 -7.088.64 -29.20.00 0.00
0.00 0.000.00 0.00
14.96 -36.32
-36.3286.25
-36.3286.25
-62.244.7
36.32
-1.04960.472190.18497
0.1850
0.00
3.744.75
P2 P1
8.49
Tramo 2MF M'F
27.81 -25.918.64 -29.20.00 0.000.00 0.000.00 0.0036.45 -55.15
-55.1586.25
-55.1586.25
-65.0-1.7
55.15
-0.86350.026140.62635
0.6263
0.00
Hoja1