estabilidad de taludes

FACULTAD DE INGENIRIA CIVIL

UNASAM

MECANICA DE SUELOS II

PROBLEMA Hallar el factor de seguridad por el método de las dovelas, para la parte derecha de la presa considerando el ancho de cada dovela b = 10 m DATOS:

SUELO N° 01 Coordenadas

SUELO N° 02

Caracteristicas

Cara Caract cter eriisti sticas cas

(0 , 23.66)

C=

5.5

(0 , 30.47)

Ø=

35.1 °

(19.66 , 30.51)

ɣ=

18.2

KN/m3 (26.48 , 23.66)

19.5

KN/m3 (34.48 , 15.25) ɣsat =

(26.48 , 23.66) ɣsat =

KPa

Coord oorden enad adas as

Nivel Freático

Centro circulo de falla

(0 , 30.47)

(44.22 , 36.87)

SUELO N° 03

(0 , 15.25)

C=

15.6

(0 , 23.66)

Ø=

18

ɣ=

KPa °

Coor oordena denad das (0 , 0)

C=

(0 , 15.25)

Ø=

30.2 °

ɣ=

18.42 KN/m3

16.58 KN/m3 (34.48 , 15.25) 17.7

Caracte acterristica ticass

KN/m3 (39.66 , 10.47) ɣsat =

10

KPa

19.15 KN/m3

(83.55 , 10.42)

-----------

(83.55 , 0)

-----------

(18.35 , 27.19) Radio del círculo de

falla

(34.17 , 8.25) (46.42 , 6.08) (59.55 , 3.93)

R=

33.86

m

SOLUCION: A) Sin considerar el Nivel Nivel Freático:

DIVISION DE DOVELAS

Docente: Ing CASTILLEJO MELGAREJO Raúl Edgar

Alumno: ALVARADO CASTILLO Omar


UNASAM


Con los datos obtenidos geometricamente del AutoCAD elaboramos el siguiente cuadro teniendo en cuenta la fórmula: =

. 

N° de Dovela

Area (m2)

01

2.4784

02

=1  . ∆ +  . cos ∝ .tan∅

Wn (Total) (KN/m)

αn°

bn (m)

C.∆Ln + Wn.Cosαn.tgØ

Wn.Senαn

18.42 45.65213

45.652

-35.955

2.57

53.25682098

-26.8046319

6.8394

18.42 125.9817

125.982

-30.893

2.57

92.86952763

-64.6836172

03

10.4117

18.42 191.7835

191.784

-25.807

2.57

129.0353803

-83.4912442

04

13.2854

18.42

244.7171

244.717

-21.066

2.57

160.4504172

-87.9618662

05

15.5357

18.42 286.1676

286.168

-16.472

2.57

186.5178076

-81.1418893

06

17.2193

18.42 317.1795

317.180

-11.984

2.57

206.8521707

-65.8586871

07

18.3659

18.42

338.2999

338.300

-7.570

2.57

221.1051743

-44.5667372

08

18.9965

18.42

349.9155

349.916

-3.201

2.57

229.078116

-19.5389092

09

19.1224

18.42

352.2346

352.235

1.149

2.57

230.6693851

7.063180604

10

18.9302

18.42

348.6943

348.694

5.528

2.596

228.0823693

33.59048172

11

19.4904

18.42

359.0132

359.013

9.786

2.39

230.1632011

61.0210063

12

24.003

18.42

442.1353

442.135

13.919

2.39

274.3958696

106.3556063

22.2604

18.42

410.0366

2.2076

16.58

36.60201

446.639

17.870

2.100

269.4731282

137.054764

20.6754

18.42

380.8409

6.6229

16.58

109.8077

490.649

21.646

2.100

288.0197269

180.9859753

18.7488

18.42

345.3529

11.0381

16.58

183.0117

528.365

25.524

2.100

300.7746701

227.6665619

16.4485

18.42

302.9814

15.4534

16.58

256.2174

559.199

29.532

2.100

307.3133616

275.634418

13.6144

18.42

250.7772

17.4928

16.58 290.0306

580.351

33.686

2.080

306.0541936

321.8865389

601.777

38.029

2.080

302.2918421

370.730988

613.093

42.648

2.080

290.7368414

415.3655519

591.078

47.639

2.079

262.652613

436.7562128

605.191

53.843

2.559

183.6783498

488.6330749

427.791

62.003

2.559

150.2900918

377.7277767

145.507

72.069

2.077

68.5889873

138.4396007

Ʃ

8077.214202

3104.864156

13 14 15 16

17

18

19

20

21 22 23

Wn (Parcial) (KN/m)

=

=1  . sin ∝

ɣsuelo (KN/m3)

2.1727

18.2

10.4841

18.42 193.1171

17.4928

16.58 290.0306

6.5181

18.2

6.8048

18.42 125.3444

17.4928

16.58 290.0306

10.8636

18.2

2.4482

18.42 45.09584

17.485

16.58 289.9013

14.0704

18.2

17.2165

16.58 285.4496

17.5682

18.2

6.6361

16.58 110.0265

17.4596

18.2

317.7647

7.9949

18.2

145.5072

39.54314

118.6294

197.7175

256.0813 319.7412

F.S = 2.60




UNASAM


A) Considerando el Nivel Freático:

N° de Dovela

Area (m2)

01

ɣsuelo

Wn

. 

µn

C.∆L n + (Wn.Cosαn.tgØ - µn.∆Ln.tgØ)

Wn.Senαn

0.000

0.000

53.257

-26.805

2.570

0.000

0.000

92.870

-64.684

18.42 191.784 191.784 -25.81

2.570

0.000

0.000

129.035

-83.491

13.285

18.42 244.717 244.717 -21.07

2.570

0.000

0.000

160.450

-87.962

1.2028

19.15 23.034

14.337

18.42 264.080

3.938

19.15 75.413

13.267

18.42 244.384

6.1586

19.15 117.937

12.199

18.42 224.711

7.8907

19.15 151.107

11.096

18.42 204.394

9.1623

19.15 175.458

9.9602

18.42 183.467

10.05

19.15 192.459

8.8781

18.42 163.535

9.5102

19.15 182.120

9.9904

18.42 184.023

9.3225

19.15 178.526

14.681

18.42 270.415

8.6724

19.15 166.076

13.588

18.42 250.293 452.971

2.2076

16.58 36.602

12.11

19.15 231.907

8.5655

18.42 157.777 499.491 21.646

6.6229

16.58 109.808

15.463

19.15 296.118

3.2857

18.42 60.523

11.038

16.58 183.012

16.409

19.15 314.232

0.0395

18.42 0.728

2.0335

17.7 35.993

13.413

16.58 222.384

13.614

19.15 260.716

7.1796

17.7 127.079

10.313

16.58 170.993

2.1727

18.2 39.543

10.484

19.15 200.771

12.359

17.7 218.758

5.1336

16.58 85.115

6.5181

18.2 118.629

(Total) (KN/m)

αn°

2.478

18.42 45.652

45.652

-35.96

2.570

02

6.839

18.42 125.982 125.982 -30.89

03

10.412

04

06

07

08

09

10

11

12

13

14

15

16

17

18

  . sin ∝

Wn

(Parcial) (KN/m3) (KN/m)

05

 . ∆  +  . cos ∝ . t a n ∅ −  .∆.tan∅

bn (m) Hw (m)

287.114

-16.47

2.570

0.456

0.046

187.025

-81.410

319.796

-11.98

2.570

1.501

0.153

208.274

-66.402

342.648

-7.57

2.570

2.342

0.239

223.509

-45.140

355.501

-3.201

2.570

2.988

0.305

232.191

-19.851

358.925

1.149

2.570

3.465

0.353

234.409

7.197

355.994

5.528

2.596

3.762

0.384

232.142

34.294

366.143

9.786

2.390

3.865

0.394

234.091

62.233

2.390

3.789

0.386

278.079

107.993

2.100

3.555

0.362

272.846

138.998

2.100

2.373

0.242

292.710

184.248

539.653 25.524

2.100

3.029

0.309

306.582

232.530

573.337 29.532

2.10

3.612

0.368

314.322

282.603

598.331 33.686

2.080

4.112

0.419

314.584

331.859

623.273 38.029

2.080

4.518

0.461

311.941

383.974

448.941 13.919

17.87




UNASAM

N° de Dovela

Area (m2)


ɣsuelo

Wn

(Parcial) (KN/m3) (KN/m)

Wn (Total) (KN/m)

αn°

bn (m) Hw (m)

µn

C.∆L n + (Wn.Cosαn.tgØ - µn.∆Ln.tgØ)

Wn.Senαn

6.8048 19.15 130.312 16.868 17.7 298.567

19

0.6246 16.58 10.356

637.824 42.648

2.080

4.815

0.491

301.089

432.121

619.414 47.639

2.079

4.979

0.508

273.499

457.694

53.84

2.559

4.95

0.505

189.374

513.549

62.00

2.559

4.54

0.463

153.418

397.302

2.077

1.82

0.186

69.441

143.275

Ʃ

5065.139

3234.126

0.6707 19.5 13.079 10.193

18.2 185.511

2.4482 19.15 46.883

20

17.485 17.7 309.485 5.204 19.5 101.478 8.8774 18.2 161.569 17.217 17.7 304.732

21

9.7046 19.5 189.240 636.050 7.8065 18.2 142.078 6.6361 17.7 117.459

22

10.875 19.5 212.063 449.960 6.6175 18.2 120.439

23

3.9276 19.5 76.588 4.066 18.2 74.001

150.589 72.069

F.S =


1.57


estabilidad de taludes

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