analisis de estabilidad (estados de carga)

9.- ANÁLISIS DE LA ESTABILIDAD

TERRAPLEN 1.7 g/cm^3 = 16.67 KN/m^3ESTADO DE CARGA FINAL DE CONSTRUCCIÓN 2.3 g/cm^3 = 22.55 KN/m^3

CIMIENTO2.27 g/cm^3 = 22.26 KN/m^3

La geometría de la presa es la sigiente: 2.58 g/cm^3 = 25.30 KN/m^3Ancho de corona= 5 mTalud Aguas abajo= 2:1; C= 0.35 Kg/cm2 transformando a Kn/m2 C= 34.34 KN/m2Talud Aguas arriba= 2:1;Altura de la presa= 20 m C= 0.98 Kg/cm2 transformando a Kn/m2 C= 96.14 KN/m2Altura nivel de agua= 17.46 mRadio de la circunf.= 30 m

DATOS TERRAPLEN DATOS CIMIENTOEnsayos triaxiales lentos Ensayos triaxiales lentos

C= 34.335 KN/m2 Ensayos triaxiales lentos C= 96.14 KN/m2 Ensayos triaxiales lentos

33 Ensayos triaxiales lentos 13 Ensayos triaxiales lentos16.67 KN/m3 22.56 KN/m3

22.55 KN/m3 25.30 KN/m3

No Dov. b x R C * * (12)+(15)+(18)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

7 2.1 28.55 30 0.952 0.307 6.84 34.34 234.76 16.67 3.66 61.01 0 0 0 0 0 0 61.01

6 5 25 30 0.833 0.553 9.05 34.34 310.57 16.67 9.31 155.20 0 0.00 0.00 0 0 0 155.20

5 5 20 30 0.667 0.745 6.71 34.34 230.33 16.67 12.43 207.21 0 0.00 0.00 0 0 0 207.21

4 0.82 17.09 30 0.570 0.822 1.00 34.34 34.26 16.67 13.27 221.21 0 0.00 0.00 0 0 0 221.21

3 5 14.59 30 0.486 0.874 5.72 96.14 550.14 16.67 12.30 205.04 0 0.00 0.00 22.56 1.27 28.6512 233.69

2 5 10 30 0.333 0.943 5.30 96.14 509.86 16.67 10.00 166.70 0 0.00 0.00 22.56 3.34 75.3504 242.05

1 5 5 30 0.167 0.986 5.07 96.14 487.52 17 7.5 125.025 0 0.00 0.00 22.56 4.63 104.4528 229.48

0 5 0 30 0.000 1.000 5.00 96.14 480.70 17 5.0 83.35 0 0.00 0.00 22.56 5.05 113.928 197.28

-1 5 -5 30 -0.167 0.986 5.07 96.14 487.52 17 2.5 41.675 0 0.00 0.00 22.56 4.63 104.4528 146.13

-2 5 -10 30 -0.333 0.943 5.30 96.14 509.86 0 0 0 0 0 0 22.56 3.34 75.3504 75.35

-3 4.18 -14.59 30 -0.486 0.874 4.78 96.14 459.92 0 0 0 0 0 0 22.56 2.27 51.2112 51.21

59.843 4295.4

ø= ø=

sat

sen cos hhZ1ZZ h hL LC *

h S

sat

sat 2ZZ sat sat satZ s 3ZZs s sZ

S

sat

Ssat

fs= 1.70

W=(19)*b W*X u*∆L u*b20 21 22 23 24 25 26 27 28 29 30 21 32 40 41

128.13 39.35 3657.99 0.000 0.000 0.00 0.649 3.099 25.555 83.206 2.012 0.458 1.491 107.509 124.063

775.99 428.94 19399.71 0.000 0.000 0.00 0.649 1.508 278.559 503.933 0.979 0.635 1.148 197.077 578.496

1036.04 772.22 20720.81 0.000 0.000 0.00 0.649 0.894 501.485 672.813 0.581 0.745 1.000 171.671 672.795

181.39 149.08 3100.01 0.000 0.000 0.00 0.649 0.693 96.815 117.798 0.450 0.791 0.962 27.085 113.323

1168.46 1020.97 17047.85 0.000 0.000 0.00 0.231 0.557 235.710 269.760 0.128 0.930 1.064 511.481 287.034

1210.25 1141.04 12102.52 0.000 0.000 0.00 0.231 0.354 263.429 279.409 0.082 0.954 1.012 486.500 282.780

1147.39 1131.34 5736.95 0.000 0.000 0.00 0.231 0.169 261.191 264.896 0.039 0.978 0.991 476.579 262.625

986.39 986.39 0.00 0.000 0.000 0.00 0.231 0.000 227.726 227.726 0.000 1.000 1.000 480.700 227.726

730.64 720.42 -3653.20 0.000 0.000 0.00 0.231 -0.169 166.322 168.681 -0.039 1.023 1.038 498.973 175.093

376.75 355.21 -3767.52 0.000 0.000 0.00 0.231 -0.354 82.006 86.980 -0.082 1.050 1.114 535.575 96.909

214.06 187.04 -3123.18 0.000 0.000 0.00 0.231 -0.557 43.182 49.420 -0.128 1.082 1.238 497.526 61.184

6932.002 74345.11 0.0 2181.980 2724.622 3990.675 2882.030

FORMULA DE FELLENIUS FORMULA DE CHUGAEV FORMULA DE BISHOP

R= 30.00 R= 30.00 R= 30.00

4295.44 4295.4 3990.68

2181.98 2724.62 2882.03

74345.1 74345.1103 74345

fs= 2.61 OK fs= 2.83 OK fs= 2.77 OK

cos*W tan2zu

LC *

)*( XW

LbuW tan**

)*( XW

)*( LC

LbuW tan**

xW

LuWLCRfs *

tan**cos***

xW

buWLcRf LLs *

tan****

tan**cos* luW

LbuW tan*** tan**cos* luW

)**( LcL

)*( XW

XW

ubWLCRf s *

*tan*)(***

tan*tantan LbuW tan***)**( LcL


ESTADO DE CARGA EN OPERACIÓN

La geometría de la presa es la sigiente:Ancho de corona= 5 mTalud Aguas abajo= 2:1;Talud Aguas arriba= 2:1;Altura de la presa= 20 mAltura nivel de agua= 17.46 mRadio de la circunf.= 30 m



33 Ensayos triaxiales lentos 13 Ensayos triaxiales lentos16.67 Kg/cm3 22.56 Kg/cm3

22.55 Kg/cm3 25.30 Kg/cm3

No Dov. b x R C * * (12)+(15)+(18)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

7 2.1 28.55 30 0.952 0.307 6.84 34.34 234.76 16.67 3.66 61.01 0 0 0 0 0 0 61.01

6 5 25 30 0.833 0.553 9.05 34.34 310.57 16.67 4.10 68.35 22.55 5.08 114.55 0 0 0 182.90

5 5 20 30 0.667 0.745 6.71 34.34 230.33 16.67 2.67 44.51 22.55 9.77 220.31 0 0 0 264.82

4 0.82 17.09 30 0.570 0.822 1.00 34.34 34.26 16.67 1.94 32.34 22.55 11.33 255.49 0 0 0 287.83

3 5 14.59 30 0.486 0.874 5.72 96.14 550.14 16.67 1.40 23.34 22.55 10.89 245.57 22.56 1.27 28.6512 297.56

2 5 10 30 0.333 0.943 5.30 96.14 509.86 16.67 0.68 11.34 22.55 9.32 210.17 22.56 3.34 75.3504 296.85

1 5 5 30 0.167 0.986 5.07 96.14 487.52 17 0.16 2.6672 22.55 7.34 165.52 22.56 4.63 104.4528 272.64

0 5 0 30 0.000 1.000 5.00 96.14 480.70 0 0.0 0 22.55 5.00 112.75 22.56 5.05 113.928 226.68

-1 5 -5 30 -0.167 0.986 5.07 96.14 487.52 0 0.0 0 22.55 2.50 56.38 22.56 4.63 104.4528 160.83

-2 5 -10 30 -0.333 0.943 5.30 96.14 509.86 0 0 0 0 0 0 22.56 3.34 75.3504 75.35

-3 4.18 -14.59 30 -0.486 0.874 4.78 96.14 459.92 0 0 0 0 0 0 22.56 1.27 28.6512 28.65

59.843 4295.44

ø= ø=


hsat

S

sat


fs= 1.70

W=(19)*b W*X u*∆L u*b20 21 22 23 24 25 26 27 28 29 30 21 32 40 41

128.13 39.35 3657.99 0.000 0.000 0.00 0.649 3.099 25.555 83.206 2.012 0.458 1.491 107.509 124.063

914.51 505.51 22862.63 49.835 450.773 249.17 0.649 1.508 35.548 432.071 0.979 0.635 1.148 197.077 496.002

1324.11 986.93 26482.24 95.844 642.939 479.22 0.649 0.894 223.393 548.680 0.581 0.745 1.000 171.671 548.666

236.02 193.98 4033.61 111.147 110.894 91.14 0.649 0.693 53.957 94.087 0.450 0.791 0.962 27.085 90.512

1487.79 1299.99 21706.91 106.831 611.319 534.15 0.231 0.557 158.993 220.165 0.128 0.930 1.064 511.481 234.263

1484.26 1399.37 14842.60 91.429 484.877 457.15 0.231 0.354 211.128 237.128 0.082 0.954 1.012 486.500 239.989

1363.19 1344.12 6815.92 72.005 365.134 360.03 0.231 0.169 226.016 231.597 0.039 0.978 0.991 476.579 229.612

1133.39 1133.39 0.00 49.050 245.250 245.25 0.231 0.000 205.043 205.043 0.000 1.000 1.000 480.700 205.043

804.14 792.89 -4020.70 24.525 124.364 122.63 0.231 -0.169 154.342 157.340 -0.039 1.023 1.038 498.973 163.321

376.75 355.21 -3767.52 0.000 0.000 0.00 0.231 -0.354 82.006 86.980 -0.082 1.050 1.114 535.575 96.909

119.76 104.64 -1747.33 0.000 0.000 0.00 0.231 -0.557 24.159 27.649 -0.128 1.082 1.238 497.526 34.231

8155.397 92613.6789 3035.5 1400.141 2323.946 3990.675 2462.611


R= 30.00 R= 30.00 R= 30.00

4295.44 4295.4 3990.68

1400.14 2323.95 2462.61

92613.7 92613.6789 92614

fs= 1.84 OK fs= 2.14 OK fs= 2.09 OK

cos*W tan2zu

LC *

)*( XW

LbuW tan**

)*( XW

)*( LC

LbuW tan**

xW

LuWLCRfs *

tan**cos***

xW

buWLcRf LLs *

tan****

tan**cos* luW


)**( LcL

)*( XW

XW

ubWLCRf s *

*tan*)(***


(12)+(15)+(18)


ESTADO DE CARGA EN OPERACIÓN

La geometría de la presa es la sigiente:Ancho de corona= 5 mTalud Aguas abajo= 2:1;Talud Aguas arriba= 2:1;Altura de la presa= 20 mAltura nivel de agua= 17.46 mRadio de la circunf.= 30 m



33 Ensayos triaxiales lentos 13 Ensayos triaxiales lentos16.67 Kg/cm3 22.56 Kg/cm3

22.55 Kg/cm3 25.3 Kg/cm3

No Dov. b x R C * * (12)+(15)+(18)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

7 2.1 28.55 30 0.952 0.307 6.84 34.34 234.76 16.67 3.66 61.01 0 0 0 0 0 0 61.01

6 5 25 30 0.833 0.553 9.05 34.34 310.57 16.67 9.18 153.03 0 0.00 0.00 0 0 0 153.03

5 5 20 30 0.667 0.745 6.71 34.34 230.33 16.67 8.40 140.03 22.55 4.03 90.88 0 0 0 230.90

4 0.82 17.09 30 0.570 0.822 1.00 34.34 34.26 16.67 7.20 120.02 22.55 6.07 136.88 0 0 0 256.90

3 5 14.59 30 0.486 0.874 5.72 96.14 550.14 16.67 6.19 103.19 22.55 6.10 137.56 22.56 1.27 28.6512 269.39

2 5 10 30 0.333 0.943 5.30 96.14 509.86 16.67 4.60 76.68 22.55 5.40 121.77 22.56 3.34 75.3504 273.80

1 5 5 30 0.167 0.986 5.07 96.14 487.52 16.67 7.50 125.025 0 0.00 0.00 22.56 4.63 104.4528 229.48

0 5 0 30 0.000 1.000 5.00 96.14 480.70 16.67 5.0 83.35 0 0.00 0.00 22.56 5.05 113.928 197.28

-1 5 -5 30 -0.167 0.986 5.07 96.14 487.52 16.67 2.5 41.675 0 0.00 0.00 22.56 4.63 104.4528 146.13

-2 5 -10 30 -0.333 0.943 5.30 96.14 509.86 0 0 0 0 0 0 22.56 3.34 75.3504 75.35

-3 4.18 -14.59 30 -0.486 0.874 4.78 96.14 459.92 0 0 0 0 0 0 22.56 1.27 28.6512 28.65

59.843 4295.44

ø= ø=


hsat

S

sat


fs= 1.70

W=(19)*b W*X u*∆L u*b20 21 22 23 24 25 26 27 28 29 30 21 32 40 41

128.13 39.35 3657.99 0.000 0.000 0.00 0.649 3.099 25.555 83.206 2.012 0.458 1.491 107.509 124.063

765.15 422.95 19128.83 0.000 0.000 0.00 0.649 1.508 274.670 496.896 0.979 0.635 1.148 197.077 570.419

1154.52 860.53 23090.45 39.534 265.204 197.67 0.649 0.894 386.609 621.386 0.581 0.745 1.000 171.671 621.370

210.66 173.14 3600.18 59.547 59.411 48.83 0.649 0.693 73.854 105.095 0.450 0.791 0.962 27.085 101.102

1346.97 1176.94 19652.26 59.841 342.429 299.21 0.231 0.557 192.663 241.895 0.128 0.930 1.064 511.481 257.384

1369.01 1290.72 13690.12 52.974 280.937 264.87 0.231 0.354 233.126 254.911 0.082 0.954 1.012 486.500 257.987

1147.39 1131.34 5736.95 0.000 0.000 0.00 0.231 0.169 261.191 264.896 0.039 0.978 0.991 476.579 262.625

986.39 986.39 0.00 0.000 0.000 0.00 0.231 0.000 227.726 227.726 0.000 1.000 1.000 480.700 227.726

730.64 720.42 -3653.20 0.000 0.000 0.00 0.231 -0.169 166.322 168.681 -0.039 1.023 1.038 498.973 175.093

376.75 355.21 -3767.52 0.000 0.000 0.00 0.231 -0.354 82.006 86.980 -0.082 1.050 1.114 535.575 96.909

119.76 104.64 -1747.33 0.000 0.000 0.00 0.231 -0.557 24.159 27.649 -0.128 1.082 1.238 497.526 34.231

7261.634 81136.0475 948.0 1947.881 2579.322 3990.675 2728.910


R= 30.00 R= 30.00 R= 30.00

4295.44 4295.4 3990.68

1947.88 2579.32 2728.91

81136.0 81136.0475 81136

fs= 2.31 OK fs= 2.54 OK fs= 2.48 OK

cos*W tan2zu

LC *

)*( XW

LbuW tan**

)*( XW

)*( LC

LbuW tan**

xW

LuWLCRfs *

tan**cos***

xW

buWLcRf LLs *

tan****

tan**cos* luW


)**( LcL

)*( XW

XW

ubWLCRf s *

*tan*)(***


analisis de estabilidad (estados de carga)

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