calculation slope stability

8/3/2019 Calculation Slope Stability

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C'b + W tan ø

(a)

1 0.730 0.904 11.879 63 10.585 7.300 6.859 14.159

2 0.730 1.995 26.214 49 19.786 7.300 15.137 22.437

3 0.730 2.701 35.491 39 22.338 7.300 20.494 27.794

4 0.730 2.864 37.633 29 18.247 7.300 21.731 29.031

5 0.730 2.414 31.720 21 11.369 7.300 18.316 25.616

6 0.730 2.033 26.714 13 6.010 7.300 15.426 22.726

7 0.730 1.527 20.065 -5 -1.749 7.300 11.586 18.886

8 0.730 0.931 12.233 -3 -0.640 7.300 7.064 14.364

9 0.730 0.319 4.192 -10 -0.728 7.300 2.420 9.720

10 0.730 0.133 1.748 -18 -0.540 7.300 1.009 8.309

84.677

18

10

30

0

W tan øSlice No. b (m) h (m) W (KN) (°) W sin cb (kN/m)

Table 1 : Calculation of factor of safety for R = 2.0m

Cohesionless of soil, c (kN/m2)

Internal friction angle of soil, ø (°)

Pore water pressure, u (kN/m2)

Assume parameter :

Bulk unit weight of soil, b (kN/m3)

Total



1.5 4.449

F.S = §m F.S = §m

§W sin §W sin

F.S = 4.449 F.S = 4.205

2nd trial, F.S =

Sec

m = (a)*(b)

Sec

m = (a)*(b)1+(tanØtan/F) 1+(tanØtan/F)

(b) (b)

1st trial, F.S =

0.639 9.047 0.754 10.670

0.000 0.000 0.000 0.000

1.211 33.658 1.322 36.744

0.918 20.597 1.030 23.103

4.082 92.760 4.203 95.516

2.431 62.263 2.546 65.231

-19.499 -280.078 -19.358 -278.054

-11.872 -224.226 -11.728 -221.497

-3.699 -30.733 -3.521 -29.255

-6.178 -60.050 -6.023 -58.543

So use F.S = 2.8 > 1.5

Total -376.763 Total -356.086



4.205 4.140

F.S = §m F.S = § m

§W sin §W sin

F.S = 4.140 F.S = 4.126

3rd trial, F.S = 4th trial, F.S =

Sec

1+(tanØtan/F) 1+(tanØtan/F)

(b) (b)

m = (a)*(b)

Sec

23.832 1.070 23.997

0.789 11.174

m = (a)*(b)

1.360 37.807

0.000 0.000 0.000 0.000

1.353 37.611

0.797 11.290

1.062

2.584 66.198

4.235 96.234 4.242 96.393

2.577 66.023

-11.684 -220.674

-19.323 -277.550 -19.315 -277.440

-11.692 -220.821

-5.977 -58.096

-3.479 -28.905 -3.470 -28.830

-5.985 -58.176

-350.579 Total -349.354Total



4.126

F.S = § m

§W sin

F.S = 4.1

23

-19.313 -277.416

-5.975 -58.079-3.468 -28.813

Total -349.087

1.362 37.849

0.000 0.000

2.586 66.237

4.243 96.428-11.683 -220.642

5th trial, F.S =

Sec

m = (a)*(b)1+(tanØtan/F)

(b)

0.799 11.316

1.071 24.034



C'b + W tan ø

(a)

1 0.730 1.178 15.479 66 14.142 7.300 8.938 16.238

2 0.730 2.342 30.774 50 23.576 7.300 17.770 25.070

3 0.730 3.051 40.090 38 24.685 7.300 23.150 30.450

4 0.730 3.019 39.670 28 18.626 7.300 22.907 30.207

5 0.730 2.724 35.793 19 11.655 7.300 20.669 27.969

6 0.730 2.311 30.367 10 5.274 7.300 17.535 24.835

7 0.730 1.765 23.192 2 0.809 7.300 13.392 20.692

8 0.730 1.120 14.717 -7 -1.794 7.300 8.498 15.798

9 0.730 0.448 5.887 -15 -1.524 7.300 3.399 10.699

10 0.730 0.184 2.418 -24 -0.984 7.300 1.396 8.696

94.466

18

10

30

0


(°) W sin cb (kN/m) W tan øSlice No. b (m) h (m) W (KN)





Assume parameter :

Total



1.5 7.115 7.551

F.S = §m F.S = §m F.S = §m

§W sin §W sin §W sin

F.S = 7.115 F.S = 7.551 F.S = 7.597

28.270

-8.612

-4.308

-2.967

584.957

-136.051

-46.092

-25.804

672.094

133.903

0.587

0.894

0.000

1.768

2.711

5.392

9.527

22.425

0.000

53.395

75.835

2nd trial, F.S =

Sec


(b)

Sec

1+(tanØtan/F)

1st trial, F.S =

(b)

m = (a)*(b)

3rd trial, F.S =

Sec

1.133

2.942

-8.335

Total

28.501 589.738

-8.358 -132.047

-4.025 -43.064

1.972 59.582

2.920 81.677

5.610 139.315

0.819 13.294

1.107 27.760

0.000 0.000


(b)

0.851 13.819

-2.634 -22.908

Total 713.349

82.287

5.632 139.859

28.523 590.202

28.410

0.000 0.000

1.995 60.253

717.698

-131.674

-42.794-4.000

-2.606 -22.663

o use F.S = 7.602> 1.5

Total



7.597 7.602

F.S = §m F.S = §m

§W sin §W sin

F.S = 7.602 F.S = 7.602

-8.332 -131.637

-3.997 -42.767

-2.603 -22.639Total 718.138

0.000 0.000

1.997 60.321

2.944 82.348

5.634 139.913

28.525 590.248

5th trial, F.S =

Sec


(b)

0.854 13.874

1.136 28.477

5.634 139.908

28.525 590.245

-8.333 -131.640

4th trial, F.S =

Sec


(b)

0.854 13.869

1.136 28.471

0.000 0.000

1.997 60.316

2.944 82.343

-3.997 -42.770

-2.604 -22.641Total 718.101



C'b + W tan ø

(a)

1 0.730 0.756 9.934 60 8.604 7.300 5.736 13.036

2 0.730 1.172 15.400 48 11.446 7.300 8.893 16.193

3 0.730 2.466 32.403 39 20.394 7.300 18.711 26.011

4 0.730 2.455 32.259 30 16.131 7.300 18.627 25.927

5 0.730 2.201 28.921 22 10.835 7.300 16.700 24.000

6 0.730 1.843 24.217 15 6.269 7.300 13.984 21.284

7 0.730 1.366 17.949 8 2.498 7.300 10.365 17.665

8 0.730 0.806 10.591 -1 -0.185 7.300 6.116 13.416

9 0.730 0.239 3.140 -6 -0.328 7.300 1.813 9.113

10 0.730 0.108 1.419 -13 -0.319 7.300 0.819 8.119

75.345

18

10

30

0


Slice No. b (m) h (m) W (KN) (°) W sin cb (kN/m) W tan ø





Assume parameter :

Total



1.5 7.578 6.996

F.S = §m F.S = §m F.S = §m

§W sin §W sin §W sin

F.S = 7.578 F.S = 6.996 F.S = 6.969

3.502 74.530

6.815 120.390

-57.679 -773.800

-9.969 -90.854

-4.879 -39.614

0.692 9.027

0.000 0.000

1.211 31.499

1.636 42.413

2.310 55.431

1st trial, F.S = 2nd trial, F.S =

Sec


(b)

Sec


(b)

3rd trial, F.S =

Sec

0.000

2.584

-57.373

Total

7.090 125.250

-57.386 -769.862

-9.661 -88.047

1.897 49.173

2.571 61.710

3.768 80.198

0.993 12.939

0.000 0.000

1.476 38.396


(b)

1.011 13.181

-4.544 -36.893

Total -527.137

62.007

3.780 80.458

7.103 125.464

0.000

1.490 38.756

1.909 49.507

-525.041

-769.696

-87.932-9.649

-4.531 -36.786

So use F.S = 7.0 > 1.5

Total -570.979



6.969

F.S = §m

§W sin

F S = 6 967

3.781 80.469

7.103 125.474

-57.373 -769.689

4th trial, F.S =

Sec


(b)

1.012 13.191

0.000 0.000

1.491 38.771

1.910 49.521

2.584 62.020

-9.648 -87.927

-4.530 -36.781

Total -524.950

calculation slope stability

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