módulo de deformación

7/23/2019 Módulo de Deformación

http://slidepdf.com/reader/full/modulo-de-deformacion 1/60

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



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



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



25 30 35

0.000

0.200

0.400

0.600COEFICIENTE (ErmE!)

MÓDULO DE DE

MÓDULO DE DEFORMACIÓN MATRIZ ROCOZA (E! " Gpa)



45 50 55 60 65 70 75 80 85

EFORMACIÓN DEL MACIZO ROCOZO (Erm)

(GSI)

COEFICIENTE ErmE!



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



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



5 90 95 100

85 90 95 100



GSI25

30

35

40

45

5055

60

65

70

75

80

85

90

95

100



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



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



RMR=30 RMR=35

0.00

2.00

4.00

6.00

8.00

10.00

12.00

Mpa



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.




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.



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




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



RMR=55 RMR=60



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 ====



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



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



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



RMR=30 RMR=35

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

Mpa




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


0.006737947





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






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


O (G%m " Mpa)50




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



RMR=55 RMR=60



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 ====



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



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



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



RMR=30 RMR=35

0.00

0.50

1.00

1.50

2.00

2.50

3.00

Mpa




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


0.006737947





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






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


O (G%m " Mpa)00




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



RMR=55 RMR=60



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 ====



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



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



&##($) = 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

!(" =



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,



1,

1,

2,

2,

3,

3,



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



%=1.00 %=1.50 %=2.00 %=2.50 %=

0.00

500.00

000.00

500.00

000.00

500.00

000.00

500.00



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



.00 %=3.50 %=4.00 %=4.50 %=5.00



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



%=5.50 %=6.00



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

módulo de deformación

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