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7/23/2019 Módulo de Deformación
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MÓDULO DE DEFORMACIÓN DEL MACIZO ROCOZO
D= 0.00 0.50 0.80 1.00
GSI DAÑO=0.00 DAÑO=0.50 DAÑO=0.80 DAÑO=1.0025 1,050 255 103 55
35 30 1,645 400 162 86
40 35 2,567 629 256 135
45 40 3,986 986 402 213
50 45 6,138 1,542 630 335
55 50 9,341 2,401 987 52560 55 13,965 3,714 1,540 822
65 60 20,365 5,689 2,391 1,284
70 65 28,719 8,588 3,683 1,993
75 70 38,828 12,694 5,604 3,069
80 75 50,000 18,224 8,379 4,670
85 80 61,172 25,189 12,219 6,983
90 85 71,281 33,257 17,231 10,182
95 90 79,635 41,743 23,297 14,359
100 95 86,035 49,811 30,000 19,414
100 90,659 56,776 36,703 25,000
D= 0.00 0.50 0.80 1.00
GSI DAÑO=0.00 DAÑO=0.50 DAÑO=0.80 DAÑO=1.0025 0.060 0.035 0.028 0.025
30 0.081 0.044 0.033 0.02835 0.113 0.057 0.040 0.033
40 0.160 0.077 0.051 0.040
45 0.224 0.106 0.067 0.051
50 0.307 0.147 0.092 0.067
55 0.408 0.202 0.125 0.090
60 0.520 0.272 0.171 0.122
65 0.632 0.353 0.228 0.164
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70 0.733 0.437 0.293 0.214
75 0.816 0.518 0.361 0.270
80 0.880 0.588 0.425 0.326
85 0.927 0.643 0.479 0.376
90 0.959 0.684 0.522 0.418
95 0.980 0.713 0.554 0.450
100 0.994 0.733 0.576 0.473
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25 30 35 400
10,000
20,000
30,000
40,000
50,000
60,000
70,000
80,000
90,000
100,000
MÓDULO DE
Erm (Mpa)
0.800
1.000
1.200
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25 30 35
0.000
0.200
0.400
0.600COEFICIENTE (ErmE!)
MÓDULO DE DE
MÓDULO DE DEFORMACIÓN MATRIZ ROCOZA (E! " Gpa)
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45 50 55 60 65 70 75 80 85
EFORMACIÓN DEL MACIZO ROCOZO (Erm)
(GSI)
COEFICIENTE ErmE!
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40 45 50 55 60 65 70 75 80
GSI
25 30 35 40 45 50 55 60 65 70 75 8
0.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
100.00
ORMACIÓN DE LA MATRIZ ROCOZA (E! Gpa)
GSI
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DAÑO=0.00DAÑO=0.50DAÑO=0.80DAÑO=1.0017.55 7.19 3.65 2.16
20.21 9.10 4.94 3.05
22.64 11.01 6.38 4.12
24.96 12.83 7.87 5.33
27.45 14.56 9.34 6.60
30.41 16.34 10.78 7.8734.20 18.36 12.28 9.16
39.16 20.93 14.00 10.54
45.46 24.36 16.18 12.18
52.98 29.02 19.14 14.33
61.25 35.17 23.23 17.30
69.49 42.86 28.78 21.43
76.93 51.72 35.96 27.05
83.07 61.02 44.61 34.34
87.78 69.85 54.15 43.13
91.18 77.47 63.68 52.82
90 95 100
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5 90 95 100
85 90 95 100
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GSI25
30
35
40
45
5055
60
65
70
75
80
85
90
95
100
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DAÑO
D=0.00 0
D=0.50 0.5
D=0.80 0.8
D=1.00 1
S
GSI a D=0.00 D=0.50 D=0.80RMR=30 25 0.53127341 0.00024037 4.539993E-005 1.16101E-005
RMR=35 30 0.52234824 0.00041894 0.000088427 2.47655E-005
RMR=40 35 0.51595308 0.00073018 0.0001722323 5.28272E-005
RMR=45 40 0.51137074 0.00127263 0.0003354626 0.0001126856
RMR=50 45 0.50808736 0.00221808 0.000653392 0.0002403695
RMR=55 50 0.50573471 0.00386592 0.0012726338 0.0005127318
RMR=60 55 0.50404896 0.00673795 0.0024787522 0.0010937077
60 0.50284107 0.01174363 0.00482795 0.002332986565 0.50197558 0.02046808 0.0094035626 0.0049764908
70 0.50135543 0.03567399 0.0183156389 0.0106153465
60.00
80.00
100.00
120.00
140.00
RESISTENCIA A#AR
Mpa
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DAÑO
D=0.00 0
D=0.50 0.5
D=0.80 0.8
D=1.00 1
SGSI a D=0.00 D=0.50 D=0.80
RMR=30 25 0.53127341 0.00024037 4.539993E-005 1.16101E-005
RMR=35 30 0.52234824 0.00041894 0.000088427 2.47655E-005
RMR=40 35 0.51595308 0.00073018 0.0001722323 5.28272E-005
RMR=45 40 0.51137074 0.00127263 0.0003354626 0.0001126856
RMR=50 45 0.50808736 0.00221808 0.000653392 0.0002403695
RMR=55 50 0.50573471 0.00386592 0.0012726338 0.0005127318
RMR=60 55 0.50404896 0.00673795 0.0024787522 0.0010937077
60 0.50284107 0.01174363 0.00482795 0.0023329865
65 0.50197558 0.02046808 0.0094035626 0.0049764908
70 0.50135543 0.03567399 0.0183156389 0.0106153465
RMR=30 RMR=35
0.00
20.00
40.00
14.00
RESISTENCIA#AR
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RMR=30 RMR=35
0.00
2.00
4.00
6.00
8.00
10.00
12.00
Mpa
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Gci = 35 Gci = 45 Gci = 55 Gci = 65 Gci = 75
D=1.00 35 45 55 65 75
3.72665E-006 4.20 5.40 6.60 7.80 9.00
8.57494E-006 6.00 7.70 9.50 11.20 12.90
1.97307E-005 8.40 10.80 13.20 15.70 18.10
4.53999E-005 11.60 14.90 18.20 21.50 24.80
0.0001044641 15.70 20.20 24.70 29.10 33.60
0.0002403695 21.10 27.10 33.10 39.10 45.20
0.0005530844 28.20 36.20 44.20 52.30 60.30
0.0012726338
'==== RESISTENCIA A LA C0.0029282997
0.006737947
A COM#RESIÓN UNIA$IAL DEL MACISO ROCOA UN DAÑO INDUCIDO #OR &OLADURA D=0.
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Gci = 35 Gci = 45 Gci = 55 Gci = 65 Gci = 75
D=1.00 35 45 55 65 75
3.72665E-006 0.42 0.54 0.66 0.78 0.90
8.57494E-006 0.60 0.77 0.95 1.12 1.29
1.97307E-005 0.84 1.08 1.32 1.57 1.81
4.53999E-005 1.16 1.49 1.82 2.15 2.48
0.0001044641 1.57 2.02 2.47 2.91 3.36
0.0002403695 2.11 2.71 3.31 3.91 4.52
0.0005530844 2.82 3.62 4.42 5.23 6.03
0.0012726338
0.0029282997
0.006737947
RMR=40 RMR=45 RMR=50
LA TRACCIÓN UNIA$IAL DEL MACISO ROCOZA UN DAÑO INDUCIDO #OR &OLADURA D=0.
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RMR=40 RMR=45 RMR=50
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Gci = 85 Gci = 95 Gci = 105 Gci = 115 Gci = 125 Gci = 135
G%!85 95 105 115 125 135
10.20 11.30 12.50 13.70 14.90 16.10
14.60 16.30 18.10 19.80 21.50 23.20
20.50 22.90 25.30 27.70 30.10 32.50
28.10 31.40 34.70 38.00 41.30 44.60
38.10 42.60 47.10 51.50 56.00 60.50
51.20 57.20 63.20 69.30 75.30 81.30
68.40 76.40 84.50 92.50 100.50 108.60
M#RESIÓN DEL MACIZO ROCOSO G
O (G%m " Mpa)00
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Gci = 85 Gci = 95 Gci = 105 Gci = 115 Gci = 125 Gci = 135
G%m85 95 105 115 125 135
1.02 1.13 1.25 1.37 1.49 1.61
1.46 1.63 1.81 1.98 2.15 2.32
2.05 2.29 2.53 2.77 3.01 3.25
2.81 3.14 3.47 3.80 4.13 4.46
3.81 4.26 4.71 5.15 5.60 6.05
5.12 5.72 6.32 6.93 7.53 8.13
6.84 7.64 8.45 9.25 10.05 10.86
RMR=55 RMR=60
(G%m " Mpa)00
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RMR=55 RMR=60
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Gci = 145 Gci = 150
145 155 G%!17.30 18.50
24.90 26.70
34.90 37.30
48.00 51.30
65.00 69.50
87.30 93.40
116.60 124.70
m ====
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Gci = 145 Gci = 150
145 155
1.73 1.85
2.49 2.67
3.49 3.73
4.80 5.13
6.50 6.95
8.73 9.34
11.66 12.47
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DAÑO
D=0.00 0
D=0.50 0.5
D=0.80 0.8
D=1.00 1
S
GSI a D=0.00 D=0.50 D=0.80RMR=30 25 0.53127341 0.00024037 4.539993E-005 1.16101E-005
RMR=35 30 0.52234824 0.00041894 0.000088427 2.47655E-005
RMR=40 35 0.51595308 0.00073018 0.0001722323 5.28272E-005
RMR=45 40 0.51137074 0.00127263 0.0003354626 0.0001126856
RMR=50 45 0.50808736 0.00221808 0.000653392 0.0002403695
RMR=55 50 0.50573471 0.00386592 0.0012726338 0.0005127318
RMR=60 55 0.50404896 0.00673795 0.0024787522 0.0010937077
60 0.50284107 0.01174363 0.00482795 0.002332986565 0.50197558 0.02046808 0.0094035626 0.0049764908
70 0.50135543 0.03567399 0.0183156389 0.0106153465
40.00
50.00
60.00
70.00
80.00
RESISTENCIA A#AR
Mpa
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DAÑO
D=0.00 0
D=0.50 0.5
D=0.80 0.8
D=1.00 1
SGSI a D=0.00 D=0.50 D=0.80
RMR=30 25 0.53127341 0.00024037 4.539993E-005 1.16101E-005
RMR=35 30 0.52234824 0.00041894 0.000088427 2.47655E-005
RMR=40 35 0.51595308 0.00073018 0.0001722323 5.28272E-005
RMR=45 40 0.51137074 0.00127263 0.0003354626 0.0001126856
RMR=50 45 0.50808736 0.00221808 0.000653392 0.0002403695
RMR=55 50 0.50573471 0.00386592 0.0012726338 0.0005127318
RMR=60 55 0.50404896 0.00673795 0.0024787522 0.0010937077
60 0.50284107 0.01174363 0.00482795 0.0023329865
65 0.50197558 0.02046808 0.0094035626 0.0049764908
70 0.50135543 0.03567399 0.0183156389 0.0106153465
RMR=30 RMR=35
0.00
10.00
20.00
30.00
8.00
RESISTENCIA#AR
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RMR=30 RMR=35
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
Mpa
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Gci = 35 Gci = 45 Gci = 55 Gci = 65 Gci = 75
D=1.00 35 45 55 65 75
3.72665E-006 1.70 2.20 2.70 3.20 3.70
8.57494E-006 2.70 3.40 4.20 5.00 5.70
1.97307E-005 4.00 5.10 6.30 7.40 8.60
4.53999E-005 5.90 7.50 9.20 10.90 12.50
0.0001044641 8.40 10.80 13.20 15.70 18.10
0.0002403695 12.00 15.50 18.90 22.30 25.80
0.0005530844 17.00 21.90 26.70 31.60 36.40
0.0012726338
'==== RESISTENCIA A LA C0.0029282997
0.006737947
A COM#RESIÓN UNIA$IAL DEL MACISO ROCOA UN DAÑO INDUCIDO #OR &OLADURA D=0.
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Gci = 35 Gci = 45 Gci = 55 Gci = 65 Gci = 75
D=1.00 35 45 55 65 75
3.72665E-006 0.17 0.22 0.27 0.32 0.37
8.57494E-006 0.27 0.34 0.42 0.50 0.57
1.97307E-005 0.40 0.51 0.63 0.74 0.86
4.53999E-005 0.59 0.75 0.92 1.09 1.25
0.0001044641 0.84 1.08 1.32 1.57 1.81
0.0002403695 1.20 1.55 1.89 2.23 2.58
0.0005530844 1.70 2.19 2.67 3.16 3.64
0.0012726338
0.0029282997
0.006737947
RMR=40 RMR=45 RMR=50
LA TRACCIÓN UNIA$IAL DEL MACISO ROCOZA UN DAÑO INDUCIDO #OR &OLADURA D=0.
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RMR=40 RMR=45 RMR=50
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Gci = 85 Gci = 95 Gci = 105 Gci = 115 Gci = 125 Gci = 135
G%!85 95 105 115 125 135
4.20 4.70 5.20 5.70 6.20 6.70
6.50 7.30 8.00 8.80 9.50 10.30
9.70 10.90 12.00 13.10 14.30 15.40
14.20 15.90 17.60 19.20 20.90 22.60
20.50 22.90 25.30 27.70 30.10 32.50
29.20 32.60 36.10 39.50 42.90 46.40
41.30 46.20 51.00 55.90 60.70 65.60
M#RESIÓN DEL MACIZO ROCOSO G
O (G%m " Mpa)50
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Gci = 85 Gci = 95 Gci = 105 Gci = 115 Gci = 125 Gci = 135
G%m85 95 105 115 125 135
0.42 0.47 0.52 0.57 0.62 0.67
0.65 0.73 0.80 0.88 0.95 1.03
0.97 1.09 1.20 1.31 1.43 1.54
1.42 1.59 1.76 1.92 2.09 2.26
2.05 2.29 2.53 2.77 3.01 3.25
2.92 3.26 3.61 3.95 4.29 4.64
4.13 4.62 5.10 5.59 6.07 6.56
RMR=55 RMR=60
(G%m " Mpa)50
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RMR=55 RMR=60
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Gci = 145 Gci = 150
145 155 G%!7.10 7.60
11.10 11.80
16.60 17.70
24.20 25.90
34.90 37.30
49.80 53.20
70.50 75.30
m ====
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Gci = 145 Gci = 150
145 155
0.71 0.76
1.11 1.18
1.66 1.77
2.42 2.59
3.49 3.73
4.98 5.32
7.05 7.53
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DAÑO
D=0.00 0
D=0.50 0.5
D=0.80 0.8
D=1.00 1
S
GSI a D=0.00 D=0.50 D=0.80RMR=30 25 0.53127341 0.00024037 4.539993E-005 1.16101E-005
RMR=35 30 0.52234824 0.00041894 0.000088427 2.47655E-005
RMR=40 35 0.51595308 0.00073018 0.0001722323 5.28272E-005
RMR=45 40 0.51137074 0.00127263 0.0003354626 0.0001126856
RMR=50 45 0.50808736 0.00221808 0.000653392 0.0002403695
RMR=55 50 0.50573471 0.00386592 0.0012726338 0.0005127318
RMR=60 55 0.50404896 0.00673795 0.0024787522 0.0010937077
60 0.50284107 0.01174363 0.00482795 0.002332986565 0.50197558 0.02046808 0.0094035626 0.0049764908
70 0.50135543 0.03567399 0.0183156389 0.0106153465
15.00
20.00
25.00
30.00
35.00
RESISTENCIA A#AR
Mpa
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DAÑO
D=0.00 0
D=0.50 0.5
D=0.80 0.8
D=1.00 1
SGSI a D=0.00 D=0.50 D=0.80
RMR=30 25 0.53127341 0.00024037 4.539993E-005 1.16101E-005
RMR=35 30 0.52234824 0.00041894 0.000088427 2.47655E-005
RMR=40 35 0.51595308 0.00073018 0.0001722323 5.28272E-005
RMR=45 40 0.51137074 0.00127263 0.0003354626 0.0001126856
RMR=50 45 0.50808736 0.00221808 0.000653392 0.0002403695
RMR=55 50 0.50573471 0.00386592 0.0012726338 0.0005127318
RMR=60 55 0.50404896 0.00673795 0.0024787522 0.0010937077
60 0.50284107 0.01174363 0.00482795 0.0023329865
65 0.50197558 0.02046808 0.0094035626 0.0049764908
70 0.50135543 0.03567399 0.0183156389 0.0106153465
RMR=30 RMR=35
0.00
5.00
10.00
3.50
RESISTENCIA#AR
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RMR=30 RMR=35
0.00
0.50
1.00
1.50
2.00
2.50
3.00
Mpa
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Gci = 35 Gci = 45 Gci = 55 Gci = 65 Gci = 75
D=1.00 35 45 55 65 75
3.72665E-006 0.50 0.60 0.70 0.80 1.00
8.57494E-006 0.80 1.00 1.20 1.50 1.70
1.97307E-005 1.30 1.70 2.10 2.40 2.80
4.53999E-005 2.10 2.70 3.30 3.90 4.50
0.0001044641 3.30 4.30 5.20 6.20 7.10
0.0002403695 5.20 6.70 8.10 9.60 11.10
0.0005530844 8.00 10.30 12.50 14.80 17.10
0.0012726338
'==== RESISTENCIA A LA C0.0029282997
0.006737947
A COM#RESIÓN UNIA$IAL DEL MACISO ROCOA UN DAÑO INDUCIDO #OR &OLADURA D=1.
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Gci = 35 Gci = 45 Gci = 55 Gci = 65 Gci = 75
D=1.00 35 45 55 65 75
3.72665E-006 0.05 0.06 0.07 0.08 0.10
8.57494E-006 0.08 0.10 0.12 0.15 0.17
1.97307E-005 0.13 0.17 0.21 0.24 0.28
4.53999E-005 0.21 0.27 0.33 0.39 0.45
0.0001044641 0.33 0.43 0.52 0.62 0.71
0.0002403695 0.52 0.67 0.81 0.96 1.11
0.0005530844 0.80 1.03 1.25 1.48 1.71
0.0012726338
0.0029282997
0.006737947
RMR=40 RMR=45 RMR=50
LA TRACCIÓN UNIA$IAL DEL MACISO ROCOZA UN DAÑO INDUCIDO #OR &OLADURA D=1.
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RMR=40 RMR=45 RMR=50
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Gci = 85 Gci = 95 Gci = 105 Gci = 115 Gci = 125 Gci = 135
G%!85 95 105 115 125 135
1.10 1.20 1.40 1.50 1.60 1.80
1.90 2.10 2.40 2.60 2.80 3.00
3.20 3.60 3.90 4.30 4.70 5.00
5.10 5.70 6.30 6.90 7.50 8.10
8.10 9.00 10.00 10.90 11.90 12.80
12.60 14.00 15.50 17.00 18.50 20.00
19.40 21.70 24.00 26.20 28.50 30.80
M#RESIÓN DEL MACIZO ROCOSO G
O (G%m " Mpa)00
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Gci = 85 Gci = 95 Gci = 105 Gci = 115 Gci = 125 Gci = 135
G%m85 95 105 115 125 135
0.11 0.12 0.14 0.15 0.16 0.18
0.19 0.21 0.24 0.26 0.28 0.30
0.32 0.36 0.39 0.43 0.47 0.50
0.51 0.57 0.63 0.69 0.75 0.81
0.81 0.90 1.00 1.09 1.19 1.28
1.26 1.40 1.55 1.70 1.85 2.00
1.94 2.17 2.40 2.62 2.85 3.08
RMR=55 RMR=60
(G%m " Mpa)00
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RMR=55 RMR=60
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Gci = 145 Gci = 150
145 155 G%!1.90 2.00
3.30 3.50
5.40 5.80
8.70 9.30
13.80 14.70
21.40 22.90
33.10 35.40
m ====
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Gci = 145 Gci = 150
145 155
0.19 0.20
0.33 0.35
0.54 0.58
0.87 0.93
1.38 1.47
2.14 2.29
3.31 3.54
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9.71
DESV.EST 2.66
&## (mm*+) DISTANCIA (m) , (-+) ESCALAD6.73 32 5.5 13.64
7.62 30.2 5.5 12.88
13.21 19 5.2 8.3312.57 21 5.2 9.21
9.77 22.4 4.4 10.68
8.38 24.4 4.4 11.63
ANLISIS DE #RO/A/ILIDAD DE OCURRENCIA
(P<6.73
0 2 4 6 8
MODELO &I/RACIO
DISTANCIA ESCALAD
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&##($) = 8526.86
7.44
13.7511.93
9.69
8.59
1.0 1
1.5 1.22
2.0 1.412.5 1.58
3.0 1.73
3.5 1.87
4.0 2
4.5 2.12
5.0 2.24
5.5 2.35
6.0 2.45
%0.5
10 12 14 16
!(" = 273.1485206566 "#-1.4099210094
R$ = 0.9839948744
AL T"81 ,
(D,1)
6 7
0
5
10
15
20
25
30
35
!(" =
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D=0.30 D=0.40 D=0.50 D=0.60 D=0.70 D=0.80
0.3 0.4 0.5 0.6 0.7 0.8
0.3 0.4 0.5 0.6 0.7 0.8
0.3 0.4 0.5 0.6 0.7 0.80.3 0.4 0.5 0.6 0.7 0.8
0.3 0.4 0.5 0.6 0.7 0.8
0.3 0.4 0.5 0.6 0.7 0.8
0.3 0.4 0.5 0.6 0.7 0.8
0.3 0.4 0.5 0.6 0.7 0.8
0.3 0.4 0.5 0.6 0.7 0.8
0.3 0.4 0.5 0.6 0.7 0.8
0.3 0.4 0.5 0.6 0.7 0.8
8 9 10 11 12 13 14
123.012398811 "#-0.7214916161
4,
4,
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1,
1,
2,
2,
3,
3,
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VPP
D=0.90 D=1.00 D=1.10 D=1.50 D=2.00
0.9 1 1.1 1.5 2
0.9 1 1.1 1.5 2
0.9 1 1.1 1.5 20.9 1 1.1 1.5 2
0.9 1 1.1 1.5 2
0.9 1 1.1 1.5 2
0.9 1 1.1 1.5 2
0.9 1 1.1 1.5 2
0.9 1 1.1 1.5 2
0.9 1 1.1 1.5 2
0.9 1 1.1 1.5 2
000.00
500.00
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%=1.00 %=1.50 %=2.00 %=2.50 %=
0.00
500.00
000.00
500.00
000.00
500.00
000.00
500.00
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D=0.30 D=0.40 D=0.50 D=0.60 D=0.70
1,455.48 970.16 708.27 547.71 440.72
1,926.52 1,284.13 937.49 724.97 583.34
2,362.68 1,574.85 1,149.73 889.10 715.412,774.03 1,849.05 1,349.91 1,043.90 839.97
3,152.46 2,101.29 1,534.06 1,186.31 954.56
3,518.05 2,344.97 1,711.97 1,323.88 1,065.26
3,867.74 2,578.06 1,882.13 1,455.48 1,171.14
4,198.93 2,798.82 2,043.30 1,580.11 1,271.43
4,537.90 3,024.76 2,208.25 1,707.66 1,374.07
4,855.24 3,236.29 2,362.68 1,827.08 1,470.16
5,149.08 3,432.15 2,505.66 1,937.66 1,559.13
1
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.00 %=3.50 %=4.00 %=4.50 %=5.00
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D=0.80 D=0.90 D=1.00 D=1.10 D=1.50 D=2.00
365.08 309.22 266.53 233.01 150.47 100.30
483.23 409.29 352.79 308.43 199.17 132.76
592.64 501.95 432.66 378.25 244.26 162.81695.82 589.35 507.99 444.11 286.79 191.16
790.74 669.74 577.29 504.69 325.91 217.24
882.44 747.41 644.23 563.22 363.71 242.43
970.16 821.71 708.27 619.21 399.86 266.53
1,053.23 892.07 768.92 672.23 434.10 289.35
1,138.25 964.08 830.99 726.49 469.15 312.71
1,217.85 1,031.50 889.10 777.30 501.95 334.58
1,291.56 1,093.93 942.91 824.34 532.33 354.83
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%=5.50 %=6.00
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1439 %=1.00
1439 %=1.50
1439 %=2.001439 %=2.50
1439 %=3.00
1439 %=3.50
1439 %=4.00
1439 %=4.50
1439 %=5.00
1439 %=5.50
1439 %=6.00
VPP&R'T
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