slope stability + soil nail v2.1

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SLOPE STABILITY GEOMETRY Height of the slope (H) 10 m Slope angle 89.0 Degree BERM YES HEIGHT 4m WIDTH 2m SOIL PROPERTIES LAYER Detail LAYER DEPTH (m) Density Phi Start End kN/m3 (Degree) FILL SOIL 10.0 7.0 20 30 COHESIVE SOIL 7.0 4.0 18 2 SILTY CLAY 4.0 1.5 19.5 10 SANDY SILT 1.5 -1.0 20 22 MEDIUM SAND -1.0 -5.0 17 28 SANDY SOIL -5.0 and below 20 32 LOAD DISTRIBUTED LEFT 100 KN DISTRIBUTED RIGHT 90 KN X start -17.32 m (Toe is at 0,0 ; slope X end -37.32 m FACTOR OF SAFETY FELLENIUS Method 1.001 BISHOP'S Method 1.043 CRITICAL CIRCLE X Ordinate 10.000 m Y Ordinate 20.000 m Radius of Circle 22.305 m

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Page 1: Slope Stability + SOIL NAIL V2.1

SLOPE STABILITY

GEOMETRYHeight of the slope (H) 10 mSlope angle 89.0 DegreeBERM YESHEIGHT 4 mWIDTH 2 mSOIL PROPERTIESLAYER Detail LAYER DEPTH (m) Density Phi Cohesion

Start End kN/m3 (Degree) kN/m2FILL SOIL 10.0 7.0 20 30 2COHESIVE SOIL 7.0 4.0 18 2 58SILTY CLAY 4.0 1.5 19.5 10 20SANDY SILT 1.5 -1.0 20 22 15MEDIUM SAND -1.0 -5.0 17 28 2SANDY SOIL -5.0 and below 20 32 2

LOADDISTRIBUTED LEFT 100 KNDISTRIBUTED RIGHT 90 KNX start -17.32 m (Toe is at 0,0 ; slope at Left Side, till X = -2.17m )X end -37.32 m

FACTOR OF SAFETYFELLENIUS Method 1.001BISHOP'S Method 1.043

CRITICAL CIRCLEX Ordinate 10.000 mY Ordinate 20.000 mRadius of Circle 22.305 m

Page 2: Slope Stability + SOIL NAIL V2.1

SLOPE STABILITY

SOIL NAIL TYPE

NameType

1 TYPE 1 415 20 32 50 2.5 152 TYPE 2 415 20 32 50 2 153 TYPE 3 415 20 32 50 1.5 154 TYPE 4 415 20 32 50 1 15

SOIL NAIL LAYERS Sl No. Elevation Length Type Detail Comments

1 0.5 5 1 TYPE 1 2 1.5 5 1 TYPE 1 3 2.5 5 1 TYPE 1 4 3.5 7 2 TYPE 2 5 4.5 7 2 TYPE 2 6 5.5 7 2 TYPE 2 7 6.5 7 3 TYPE 3 8 7.5 7 3 TYPE 3 9 8.5 7 3 TYPE 3

10 9.5 7 3 TYPE 3

fy (N/mm2)

fcu (N/mm2)

Nail Diam

Grout Diam

Horizontal Spacing (m)

αs

(Degree)

Detail

Re-Calc

Page 3: Slope Stability + SOIL NAIL V2.1

SLOPE STABILITY

Page 4: Slope Stability + SOIL NAIL V2.1

CENTER RadiusSLNO X Y (m)

1 5 15.000 15.112 1.055 1.095 42 5 15.000 15.212 1.037 1.076 53 5 15.000 15.312 1.020 1.058 44 5 15.000 15.412 1.051 1.092 45 5 15.000 15.512 1.035 1.076 46 5 16.250 16.258 1.054 1.090 57 5 16.250 16.358 1.042 1.077 48 5 16.250 16.458 1.026 1.061 49 5 16.250 16.558 1.058 1.095 5

10 5 16.250 16.658 1.050 1.086 411 5 17.500 17.421 1.063 1.096 412 5 17.500 17.521 1.048 1.080 413 5 17.500 17.621 1.034 1.065 414 5 17.500 17.721 1.032 1.063 415 5 17.500 17.821 1.056 1.089 416 5 18.750 18.597 1.069 1.100 417 5 18.750 18.697 1.055 1.085 418 5 18.750 18.797 1.049 1.078 419 5 18.750 18.897 1.053 1.080 420 5 18.750 18.997 1.083 1.112 421 5 20.000 19.784 1.078 1.106 422 5 20.000 19.884 1.080 1.107 423 5 20.000 19.984 1.073 1.099 324 5 20.000 20.084 1.070 1.095 425 5 20.000 20.184 1.094 1.121 426 6.25 15.000 15.686 1.047 1.092 427 6.25 15.000 15.786 1.027 1.072 528 6.25 15.000 15.886 1.042 1.089 529 6.25 15.000 15.986 1.048 1.092 530 6.25 15.000 16.086 1.037 1.082 431 6.25 16.250 16.784 1.037 1.079 432 6.25 16.250 16.884 1.019 1.060 533 6.25 16.250 16.984 1.051 1.092 434 6.25 16.250 17.084 1.040 1.081 435 6.25 16.250 17.184 1.031 1.071 536 6.25 17.500 17.906 1.038 1.076 437 6.25 17.500 18.006 1.038 1.073 438 6.25 17.500 18.106 1.018 1.053 439 6.25 17.500 18.206 1.048 1.085 440 6.25 17.500 18.306 1.032 1.069 4

FOS (FELLENIUS Method)

FOS (BISHOP'S Method)

Max Itteration reached

Page 5: Slope Stability + SOIL NAIL V2.1

CENTER RadiusSLNO X Y (m)

FOS (FELLENIUS Method)

FOS (BISHOP'S Method)

Max Itteration reached

41 6.25 18.750 19.047 1.060 1.093 442 6.25 18.750 19.147 1.036 1.068 443 6.25 18.750 19.247 1.026 1.058 444 6.25 18.750 19.347 1.049 1.083 445 6.25 18.750 19.447 1.044 1.077 446 6.25 20.000 20.203 1.060 1.091 447 6.25 20.000 20.303 1.048 1.077 448 6.25 20.000 20.403 1.034 1.063 449 6.25 20.000 20.503 1.075 1.104 450 6.25 20.000 20.603 1.065 1.095 451 7.5 15.000 16.353 1.091 1.143 452 7.5 15.000 16.453 1.058 1.110 453 7.5 15.000 16.553 1.036 1.088 554 7.5 15.000 16.653 1.022 1.074 555 7.5 15.000 16.753 1.006 1.057 456 7.5 16.250 17.400 1.045 1.090 457 7.5 16.250 17.500 1.057 1.105 458 7.5 16.250 17.600 1.036 1.083 459 7.5 16.250 17.700 1.022 1.068 460 7.5 16.250 17.800 1.011 1.057 561 7.5 17.500 18.477 1.043 1.085 462 7.5 17.500 18.577 1.008 1.049 463 7.5 17.500 18.677 1.030 1.073 464 7.5 17.500 18.777 1.035 1.076 465 7.5 17.500 18.877 1.018 1.059 566 7.5 18.750 19.579 1.033 1.072 567 7.5 18.750 19.679 1.028 1.064 468 7.5 18.750 19.779 1.050 1.088 469 7.5 18.750 19.879 1.033 1.070 470 7.5 18.750 19.979 1.024 1.060 471 7.5 20.000 20.700 1.053 1.087 472 7.5 20.000 20.800 1.029 1.061 473 7.5 20.000 20.900 1.054 1.089 474 7.5 20.000 21.000 1.045 1.079 475 7.5 20.000 21.100 1.030 1.064 476 8.75 15.000 17.099 1.094 1.150 577 8.75 15.000 17.199 1.062 1.118 478 8.75 15.000 17.299 1.039 1.095 479 8.75 15.000 17.399 1.727 1.859 480 8.75 15.000 17.499 1.717 1.856 4

Page 6: Slope Stability + SOIL NAIL V2.1

CENTER RadiusSLNO X Y (m)

FOS (FELLENIUS Method)

FOS (BISHOP'S Method)

Max Itteration reached

81 8.75 16.250 18.095 1.090 1.141 482 8.75 16.250 18.195 1.056 1.108 483 8.75 16.250 18.295 1.034 1.085 484 8.75 16.250 18.395 1.017 1.069 485 8.75 16.250 18.495 1.646 1.765 486 8.75 17.500 19.126 1.077 1.126 587 8.75 17.500 19.226 1.055 1.102 488 8.75 17.500 19.326 1.033 1.080 589 8.75 17.500 19.426 1.018 1.065 490 8.75 17.500 19.526 0.999 1.047 491 8.75 18.750 20.186 1.037 1.079 492 8.75 18.750 20.286 1.049 1.093 493 8.75 18.750 20.386 1.023 1.066 594 8.75 18.750 20.486 1.021 1.063 495 8.75 18.750 20.586 1.011 1.052 596 8.75 20.000 21.270 1.047 1.084 497 8.75 20.000 21.370 1.021 1.057 498 8.75 20.000 21.470 1.041 1.080 499 8.75 20.000 21.570 1.024 1.062 4

100 8.75 20.000 21.670 1.014 1.052 4101 10 15.000 17.913 1.074 1.138 4102 10 15.000 18.013 1.040 1.104 4103 10 15.000 18.113 2.023 2.208 4104 10 15.000 18.213 2.003 2.194 3105 10 15.000 18.313 2.012 2.206 4106 10 16.250 18.858 1.069 1.128 4107 10 16.250 18.958 1.034 1.093 5108 10 16.250 19.058 1.035 1.090 4109 10 16.250 19.158 1.914 2.068 4110 10 16.250 19.258 1.902 2.064 4111 10 17.500 19.842 1.077 1.129 5112 10 17.500 19.942 1.052 1.103 4113 10 17.500 20.042 1.030 1.081 5114 10 17.500 20.142 1.002 1.054 5115 10 17.500 20.242 1.806 1.947 4116 10 18.750 20.860 1.077 1.125 4117 10 18.750 20.960 1.054 1.101 4118 10 18.750 21.060 1.023 1.071 4119 10 18.750 21.160 1.008 1.056 4120 10 18.750 21.260 1.740 1.862 4

Page 7: Slope Stability + SOIL NAIL V2.1

CENTER RadiusSLNO X Y (m)

FOS (FELLENIUS Method)

FOS (BISHOP'S Method)

Max Itteration reached

121 10 20.000 21.905 1.028 1.071 4122 10 20.000 22.005 1.053 1.096 4123 10 20.000 22.105 1.036 1.078 4124 10 20.000 22.205 1.016 1.058 4125 10 20.000 22.305 1.001 1.043 4

Page 8: Slope Stability + SOIL NAIL V2.1
Page 9: Slope Stability + SOIL NAIL V2.1

DETAIL RESULT FOR CRITICAL SLIP CIRCLECo-ordinates of the Slip Circle:

10 m20 m

22.305 m

FELLENIOUS METHOD BISHOP'S METHOD

∑ Resisting Force = 510.151 KN/m ∑ Resisting Force = 535.140 KN/m∑ Sliding Force = 586.841 KN/m ∑ Sliding Force = 586.841 KN/mREINFORCEMENT EFFECT (when Included) REINFORCEMENT EFFECT (when Included)∑ Moment = 1722.00 KN-m/m (RESISTING) ∑ Moment = 1710.00 KN-m/m (RESISTING)Equivalent force = 77.20 KN/m (∑ Moment/R) Equivalent force = 76.66 KN/m (∑ Moment/R)

FOS = 1.001 FOS = 1.043∑ Sliding Force ∑ Sliding Force

FELLENIOUS METHOD BISHOP'S METHOD

SLNOSURCHARGE SLICE C/S

m m kN/m2 m m Degree m2 KN/m2 KN/m3 KN/m KN/m KN/m KN/m1.000 -9.938 0.100 0.000 10.000 0.000 -63.081 0.010 2.000 20.000 0.493 0.176 0.331 0.1762.000 -9.838 0.100 0.000 9.803 0.197 -62.516 0.029 2.000 20.000 0.590 0.520 0.565 0.5203.000 -9.738 0.100 0.000 9.611 0.389 -61.967 0.048 2.000 20.000 0.688 0.853 0.790 0.8534.000 -9.638 0.100 0.000 9.423 0.577 -61.423 0.067 2.000 20.000 0.788 1.175 1.008 1.1755.000 -9.538 0.100 0.000 9.239 0.761 -60.894 0.085 2.000 20.000 0.889 1.486 1.218 1.4866.000 -9.438 0.100 0.000 9.060 0.940 -60.367 0.103 2.000 20.000 0.991 1.787 1.422 1.7877.000 -9.338 0.100 0.000 8.884 1.116 -59.855 0.120 2.000 20.000 1.095 2.079 1.619 2.0798.000 -9.238 0.100 0.000 8.712 1.288 -59.344 0.137 2.000 20.000 1.200 2.361 1.810 2.3619.000 -9.138 0.100 0.000 8.543 1.457 -58.848 0.154 2.000 20.000 1.306 2.635 1.995 2.635

10.000 -9.038 0.100 0.000 8.378 1.622 -58.352 0.170 2.000 20.000 1.413 2.900 2.175 2.90011.000 -8.938 0.100 0.000 8.215 1.785 -57.862 0.186 2.000 20.000 1.521 3.157 2.350 3.15712.000 -8.838 0.100 0.000 8.056 1.944 -57.386 0.202 2.000 20.000 1.629 3.406 2.521 3.40613.000 -8.738 0.100 0.000 7.900 2.100 -56.909 0.218 2.000 20.000 1.739 3.647 2.687 3.64714.000 -8.638 0.100 0.000 7.746 2.254 -56.446 0.233 2.000 20.000 1.848 3.882 2.849 3.882

x-Ordinates : y-Ordinates : Circle Radius:

(∑ Resisting Force + Equivalent force) = (∑ Resisting Force + Equivalent force) =

SLICE EDGE (x)

SLICE WIDTH

SLIDING SLICE ELEVATION

SLIDING SLICE HEIGHT

SLIDING BASE INCLINATION

COHESION AT INTERFACE

EFFECTIVE DENSITY

RESISTING FORCE

SLIDING FORCE

RESISTING FORCE

SLIDING FORCE

REFILL

Critical Circle center

Page 10: Slope Stability + SOIL NAIL V2.1

FELLENIOUS METHOD BISHOP'S METHOD

SLNOSURCHARGE SLICE C/S

m m kN/m2 m m Degree m2 KN/m2 KN/m3 KN/m KN/m KN/m KN/m

SLICE EDGE (x)

SLICE WIDTH

SLIDING SLICE ELEVATION

SLIDING SLICE HEIGHT

SLIDING BASE INCLINATION

COHESION AT INTERFACE

EFFECTIVE DENSITY

RESISTING FORCE

SLIDING FORCE

RESISTING FORCE

SLIDING FORCE

15.000 -8.538 0.100 0.000 7.596 2.404 -55.980 0.248 2.000 20.000 1.959 4.108 3.006 4.10816.000 -8.438 0.100 0.000 7.448 2.552 -55.528 0.263 2.000 20.000 2.069 4.329 3.160 4.32917.000 -8.338 0.100 0.000 7.302 2.698 -55.073 0.277 2.000 20.000 2.180 4.542 3.310 4.54218.000 -8.238 0.100 0.000 7.159 2.841 -54.631 0.291 2.000 20.000 2.292 4.749 3.457 4.74919.000 -8.138 0.100 0.000 7.018 2.982 -54.186 0.305 58.000 19.966 10.036 4.941 9.820 4.94120.000 -8.038 0.100 0.000 6.879 3.121 -53.754 0.319 58.000 19.881 9.940 5.113 9.739 5.11321.000 -7.938 0.100 0.000 6.743 3.257 -53.318 0.332 58.000 19.805 9.846 5.280 9.660 5.28022.000 -7.838 0.100 0.000 6.609 3.391 -52.894 0.346 58.000 19.735 9.758 5.442 9.584 5.44223.000 -7.738 0.100 0.000 6.476 3.524 -52.467 0.359 58.000 19.672 9.671 5.598 9.510 5.59824.000 -7.638 0.100 0.000 6.346 3.654 -52.044 0.372 58.000 19.614 9.587 5.750 9.439 5.75025.000 -7.538 0.100 0.000 6.218 3.782 -51.632 0.385 58.000 19.560 9.507 5.897 9.371 5.89726.000 -7.438 0.100 0.000 6.092 3.908 -51.216 0.397 58.000 19.511 9.429 6.039 9.304 6.03927.000 -7.338 0.100 0.000 5.967 4.033 -50.812 0.409 58.000 19.466 9.355 6.177 9.240 6.17728.000 -7.238 0.100 0.000 5.845 4.155 -50.404 0.422 58.000 19.423 9.282 6.310 9.177 6.31029.000 -7.138 0.100 0.000 5.724 4.276 -50.007 0.434 58.000 19.384 9.213 6.439 9.117 6.43930.000 -7.038 0.100 0.000 5.605 4.396 -49.605 0.445 58.000 19.347 9.145 6.563 9.058 6.56331.000 -6.938 0.100 0.000 5.487 4.513 -49.215 0.457 58.000 19.313 9.080 6.684 9.001 6.68432.000 -6.838 0.100 0.000 5.371 4.629 -48.819 0.469 58.000 19.280 9.016 6.800 8.945 6.80033.000 -6.738 0.100 0.000 5.257 4.743 -48.435 0.480 58.000 19.250 8.956 6.913 8.892 6.91334.000 -6.638 0.100 0.000 5.144 4.856 -48.046 0.491 58.000 19.222 8.896 7.021 8.839 7.02135.000 -6.538 0.100 0.000 5.033 4.967 -47.659 0.502 58.000 19.195 8.838 7.125 8.788 7.12536.000 -6.438 0.100 0.000 4.923 5.077 -47.284 0.513 58.000 19.169 8.783 7.227 8.739 7.22737.000 -6.338 0.100 0.000 4.815 5.185 -46.902 0.524 58.000 19.145 8.728 7.324 8.690 7.32438.000 -6.238 0.100 0.000 4.708 5.292 -46.532 0.534 58.000 19.122 8.676 7.418 8.644 7.41839.000 -6.138 0.100 0.000 4.602 5.398 -46.156 0.545 58.000 19.101 8.625 7.508 8.598 7.50840.000 -6.038 0.100 0.000 4.498 5.502 -45.791 0.555 58.000 19.080 8.576 7.595 8.554 7.59541.000 -5.938 0.100 0.000 4.395 5.605 -45.420 0.566 58.000 19.061 8.527 7.678 8.510 7.67842.000 -5.838 0.100 0.000 4.294 5.706 -45.060 0.576 58.000 19.042 8.481 7.759 8.469 7.75943.000 -5.738 0.100 0.000 4.194 5.806 -44.693 0.586 58.000 19.025 8.435 7.835 8.427 7.83544.000 -5.638 0.100 0.000 4.095 5.905 -44.338 0.595 58.000 19.008 8.392 7.910 8.387 7.91045.000 -5.538 0.100 0.000 3.997 6.003 -43.976 0.605 20.000 19.004 4.238 7.985 4.812 7.98546.000 -5.438 0.100 0.000 3.901 6.099 -43.625 0.615 20.000 19.012 4.255 8.063 4.831 8.063

Page 11: Slope Stability + SOIL NAIL V2.1

FELLENIOUS METHOD BISHOP'S METHOD

SLNOSURCHARGE SLICE C/S

m m kN/m2 m m Degree m2 KN/m2 KN/m3 KN/m KN/m KN/m KN/m

SLICE EDGE (x)

SLICE WIDTH

SLIDING SLICE ELEVATION

SLIDING SLICE HEIGHT

SLIDING BASE INCLINATION

COHESION AT INTERFACE

EFFECTIVE DENSITY

RESISTING FORCE

SLIDING FORCE

RESISTING FORCE

SLIDING FORCE

47.000 -5.338 0.100 0.000 3.805 6.195 -43.267 0.624 20.000 19.019 4.271 8.137 4.849 8.13748.000 -5.238 0.100 0.000 3.711 6.289 -42.911 0.634 20.000 19.026 4.287 8.207 4.867 8.20749.000 -5.138 0.100 0.000 3.618 6.382 -42.566 0.643 20.000 19.033 4.304 8.276 4.886 8.27650.000 -5.038 0.100 0.000 3.526 6.474 -42.214 0.652 20.000 19.040 4.321 8.340 4.903 8.34051.000 -4.938 0.100 0.000 3.436 6.564 -41.873 0.661 20.000 19.046 4.339 8.402 4.921 8.40252.000 -4.838 0.100 0.000 3.346 6.654 -41.525 0.670 20.000 19.052 4.356 8.460 4.938 8.46053.000 -4.738 0.100 0.000 3.257 6.743 -41.188 0.679 20.000 19.058 4.374 8.517 4.955 8.51754.000 -4.638 0.100 0.000 3.170 6.830 -40.843 0.687 20.000 19.063 4.392 8.569 4.971 8.56955.000 -4.538 0.100 0.000 3.083 6.917 -40.509 0.696 20.000 19.069 4.410 8.620 4.987 8.62056.000 -4.438 0.100 0.000 2.998 7.002 -40.168 0.704 20.000 19.074 4.428 8.667 5.003 8.66757.000 -4.338 0.100 0.000 2.914 7.086 -39.838 0.713 20.000 19.079 4.446 8.712 5.019 8.71258.000 -4.238 0.100 0.000 2.830 7.170 -39.499 0.721 20.000 19.084 4.464 8.753 5.035 8.75359.000 -4.138 0.100 0.000 2.748 7.252 -39.173 0.729 20.000 19.089 4.483 8.793 5.050 8.79360.000 -4.038 0.100 0.000 2.666 7.334 -38.838 0.737 20.000 19.093 4.501 8.829 5.065 8.82961.000 -3.938 0.100 0.000 2.586 7.414 -38.504 0.745 20.000 19.098 4.520 8.862 5.080 8.86262.000 -3.838 0.100 0.000 2.506 7.494 -38.182 0.753 20.000 19.102 4.539 8.895 5.095 8.89563.000 -3.738 0.100 0.000 2.428 7.572 -37.851 0.761 20.000 19.106 4.558 8.923 5.109 8.92364.000 -3.638 0.100 0.000 2.350 7.650 -37.532 0.769 20.000 19.110 4.576 8.951 5.123 8.95165.000 -3.538 0.100 0.000 2.273 7.727 -37.204 0.776 20.000 19.114 4.595 8.974 5.137 8.97466.000 -3.438 0.100 0.000 2.197 7.803 -36.888 0.784 20.000 19.117 4.614 8.997 5.151 8.99767.000 -3.338 0.100 0.000 2.122 7.878 -36.563 0.791 20.000 19.121 4.633 9.015 5.165 9.01568.000 -3.238 0.100 0.000 2.048 7.952 -36.249 0.799 20.000 19.124 4.653 9.034 5.178 9.03469.000 -3.138 0.100 0.000 1.975 8.025 -35.926 0.806 20.000 19.128 4.672 9.048 5.191 9.04870.000 -3.038 0.100 0.000 1.902 8.098 -35.615 0.813 20.000 19.131 4.691 9.062 5.205 9.06271.000 -2.938 0.100 0.000 1.831 8.170 -35.295 0.820 20.000 19.134 4.710 9.071 5.217 9.07172.000 -2.838 0.100 0.000 1.760 8.240 -34.987 0.828 20.000 19.137 4.729 9.081 5.230 9.08173.000 -2.738 0.100 0.000 1.690 8.310 -34.669 0.834 20.000 19.140 4.748 9.086 5.243 9.08674.000 -2.638 0.100 0.000 1.621 8.379 -34.352 0.841 20.000 19.143 4.767 9.089 5.255 9.08975.000 -2.538 0.100 0.000 1.552 8.448 -34.048 0.848 20.000 19.146 4.786 9.092 5.268 9.09276.000 -2.438 0.100 0.000 1.485 8.515 -33.733 0.855 15.000 19.152 7.305 9.092 7.752 9.09277.000 -2.338 0.100 0.000 1.418 8.582 -33.431 0.862 15.000 19.158 7.363 9.093 7.794 9.09378.000 -2.238 0.100 0.000 1.352 8.648 -33.118 0.763 15.000 19.049 6.706 7.936 7.022 7.936

Page 12: Slope Stability + SOIL NAIL V2.1

FELLENIOUS METHOD BISHOP'S METHOD

SLNOSURCHARGE SLICE C/S

m m kN/m2 m m Degree m2 KN/m2 KN/m3 KN/m KN/m KN/m KN/m

SLICE EDGE (x)

SLICE WIDTH

SLIDING SLICE ELEVATION

SLIDING SLICE HEIGHT

SLIDING BASE INCLINATION

COHESION AT INTERFACE

EFFECTIVE DENSITY

RESISTING FORCE

SLIDING FORCE

RESISTING FORCE

SLIDING FORCE

79.000 -2.138 0.100 0.000 1.287 6.602 -32.818 0.469 15.000 18.904 4.795 4.805 4.838 4.80580.000 -2.038 0.100 0.000 1.222 2.778 -32.508 0.281 15.000 19.555 3.651 2.953 3.537 2.95381.000 -1.938 0.100 0.000 1.158 2.842 -32.210 0.287 15.000 19.565 3.694 2.996 3.582 2.99682.000 -1.838 0.100 0.000 1.095 2.905 -31.902 0.294 15.000 19.574 3.738 3.037 3.627 3.03783.000 -1.738 0.100 0.000 1.033 2.967 -31.605 0.300 15.000 19.583 3.781 3.076 3.671 3.07684.000 -1.638 0.100 0.000 0.972 3.028 -31.299 0.306 15.000 19.591 3.824 3.113 3.714 3.11385.000 -1.538 0.100 0.000 0.911 3.089 -30.994 0.312 15.000 19.599 3.867 3.148 3.757 3.14886.000 -1.438 0.100 0.000 0.851 3.149 -30.701 0.318 15.000 19.607 3.910 3.182 3.799 3.18287.000 -1.338 0.100 0.000 0.791 3.209 -30.397 0.324 15.000 19.614 3.952 3.214 3.841 3.21488.000 -1.238 0.100 0.000 0.733 3.267 -30.106 0.330 15.000 19.621 3.994 3.244 3.882 3.24489.000 -1.138 0.100 0.000 0.675 3.325 -29.804 0.335 15.000 19.627 4.036 3.272 3.923 3.27290.000 -1.038 0.100 0.000 0.617 3.383 -29.515 0.341 15.000 19.634 4.078 3.299 3.963 3.29991.000 -0.938 0.100 0.000 0.561 3.439 -29.215 0.347 15.000 19.639 4.120 3.323 4.003 3.32392.000 -0.838 0.100 0.000 0.505 3.495 -28.927 0.352 15.000 19.645 4.161 3.347 4.043 3.34793.000 -0.738 0.100 0.000 0.450 3.550 -28.629 0.358 15.000 19.651 4.202 3.368 4.082 3.36894.000 -0.638 0.100 0.000 0.395 3.605 -28.343 0.363 15.000 19.656 4.243 3.389 4.120 3.38995.000 -0.538 0.100 0.000 0.341 3.659 -28.046 0.369 15.000 19.661 4.283 3.407 4.158 3.40796.000 -0.438 0.100 0.000 0.288 3.712 -27.762 0.374 15.000 19.666 4.324 3.424 4.196 3.42497.000 -0.338 0.100 0.000 0.235 3.765 -27.466 0.379 15.000 19.670 4.364 3.439 4.233 3.43998.000 -0.238 0.100 0.000 0.183 3.817 -27.172 0.384 15.000 19.675 4.403 3.452 4.270 3.45299.000 -0.138 0.100 0.000 0.132 3.868 -26.890 0.297 15.000 19.734 3.796 2.654 3.627 2.654

100.000 -0.038 0.037 0.000 0.081 2.079 -26.680 0.104 15.000 20.000 2.429 0.933 2.192 0.933

Page 13: Slope Stability + SOIL NAIL V2.1

Reinforcement Detail Strength in PULLOUT STRENGTH(kN/nail) Tdesign SF Moment

Sl No. TYPE Elevation(m) Length(m) Rupture (kN/nail) grout-nail Soil-grout (kN/nail) (kN/sqmt) (kN-m/m)1.000 TYPE 1 0.500 5.000 222.509 267.270 48.588 48.588 13.091 432.5262.000 TYPE 1 1.500 5.000 222.509 194.208 37.412 37.412 10.936 326.1563.000 TYPE 1 2.500 5.000 222.509 127.391 20.137 20.137 2.731 139.5884.000 TYPE 2 3.500 7.000 222.509 187.339 21.838 21.838 3.108 180.2505.000 TYPE 2 4.500 7.000 222.509 227.929 24.509 24.509 3.625 185.5906.000 TYPE 2 5.500 7.000 222.509 178.597 24.466 24.466 0.739 141.2847.000 TYPE 3 6.500 7.000 222.509 133.011 21.238 21.238 0.658 150.0318.000 TYPE 3 7.500 7.000 222.509 91.172 14.424 14.424 0.457 92.7029.000 TYPE 3 8.500 7.000 222.509 53.079 8.319 8.319 0.268 48.150

10.000 TYPE 3 9.500 7.000 222.509 17.485 1.092 1.092 0.589 13.846

DETAIL RESULT FOR REINFORCEMENT VALUE (INCLUDING BISHOP's FOS in SOIL STRENGTH PARAMETER)

Page 14: Slope Stability + SOIL NAIL V2.1
Page 15: Slope Stability + SOIL NAIL V2.1

INTRODUCTION

This Slope Stability Sheet can be useful for the analysis of static stability of soil slopes like embankments,excavated slopes, and natural slopes in soil and soft rock.Advantages:1. Modeling includes entering Slope height and inclination, so very useful for quick check of FOS.2. One set of uniformly varrying distributed vertical load can be modled for analysis.3. Fellenius Method and Bishop Method of analysis is available.4. Bishop Method can be disabled for approx calculation to save time.5. Soil Nails can be inculded and analysed to increase slope stability.6. Analysis is done with or without Reinforcement.7. Maximum of 5 Types of Soil Nail can be defined for analysis.8. Suggestions displayed below "Calculation" Button can be used for accurate result.9. Factor of safety for all circle analysed is stored in the "FOS" sheet for reference.10. The Autocad script file is generated in the same folder to draw the autocad drawing containing

Profile, Soil Layers, Load data, Soil Nails and slip circles.Limitations:1. Seismic effect cannot be analysed.2. Only one Load set is included in the analysis.3. Modeling horizontal load is not available.4. Berms are not modled.5. Water table effect cannot be modled.6. Visual Interface is absent and data needs to be entered with caution.

1. INPUT

Following are the Inputs Required For Analysis

1.2.3.4. *5. *

Note: * Required if Analysis with Geogrid is done.

Data Requiring InputEditable cells (for Input values). Only this cells can be selected and changed.Calculated Result from AnalysisDisplay Analysis Result

1.01 GEOMETRY

Height of the slope (H) h mSlope angle Φ DegreeBERM YESHEIGHT [bm_ht] m (Height of the berm)WIDTH [bm_b] m (Width of the berm)The Slope Geometry is defined in this section. This includes slope height and slope.The Berm may or maynot be provided in the profile.

1.02 SOIL PROPERTIES

GEOMETRY

SOIL PROPERTIESLOADREINFORCEMENT TYPE

REINFORCEMENT LAYERS

Page 16: Slope Stability + SOIL NAIL V2.1

LAYER DEPTH (m) Density Phi CohesionStart End kN/m3 Degree kN/m2

Layer -1 H1 and below 20 30 2

1.03 LOADLOAD

DISTRIBUTED LEFT L1 KN

DISTRIBUTED RIGHT L2 KN

X start x1 m (Toe is at 0,0 ; slope at Left Side, till X = -18m )

X end x2 m

L1 - Uniformly distributed intensity at left end.L2 - Uniformly distributed intensity at right end.x1 - x-ordinate of the left end of distributed load.x2 - x-ordinate of the right end of distributed load.fq - Partial factor for the surcharge load.

1.04 SOIL NAIL TYPE

Name Type

Name : Symbolic name of the given Reinforcement.fy : Characteristic yield strength of the soil-nail reinforcementfcu : Characteristic strength of cement groutαs : Inclination of the soil nail to the horizontal

LAYER Detail The soil properties are accepted

in this section. The Layer Details as entered in the given table.

fy (N/mm2)

fcu (N/mm2)

Nail Diam

Grout Diam

Horizontal Spacing (m) αs

(xmax,ymax)

widthofwedge

number ofdivision

(xmin,ymin)

L1L2

x1 x2

Page 17: Slope Stability + SOIL NAIL V2.1

1.05 SOIL NAIL LAYERS

Elevation Length Type

Elevation : The elevation of reinforcement from the base of slope (in meters)Length : The length of the reinforcement in metersType : The type of reinforcement as mentioned in the Reinforcement type detail.

2. CALCULATION

The "CALCULATE" button on the "SLOPE STABILITY" sheet displays the above window on press.Following Details are required prior to the start of analysis :

1. Center's Ordinate Limit2. Radius Value3. Design Method

2.01 CENTER'S ORDINATE LIMIT

The range and density of centers for the slip circle is defined here. The Range is defined as a squareas shown in the figure with minimum ordinate (Xmin, Ymin) and maximum ordinate as (Xmax, Ymax).Ymin cannot be less than the height of the slope.

The No. of division defines the no of vertical and horizontal lines. e.g. in the given figure the number of division would be 5. Thus the total number of centers considered would be n x n, where n is the number of division.

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Width of the wedge is the width of the slice as shown in the figure considered in the analysis. Evidentlyless is the width of slice, more will be the accuracy but the calculation time would increase.

2.02 RADIUS VALUE

This parameters defines the the radious size and number of slip circle analysed for each center point.

may not be intiger.

2.03 DESIGN METHOD

1. FELLENIUS METHOD2. BISHOP'S METHOD3. INCLUDE GEOGRID

2.03.01 FELLENIUS METHOD

N = Normal Reaction perpendicular to the slip surface for each slice. ( In direction of R)S = force parallel to the slip surface at the line of slip

Radius increment (d) : This accepts the incremental value of slip circle after avery analysis.Rmin Possible : It is the radius of the circle touching the slope.x' - Value : The minimum radious of slip circle analysed would be Rmin possible + x. x may or

Number of increments: The number of slip circle analysed of varrying radius for every defined center.

Thus the total number of slip circle analysed would be = n x n x Number of increments

Page 19: Slope Stability + SOIL NAIL V2.1

This method cannot be disabled as it is required to calculate the approx FOS.

2.03.02 BISHOP'S METHOD

To solve the above equation, the initial FOS is assumed as derived from the Fellenious Method and Desired accuracy is reached after maximum of 100 iteration. The total number of Iteration done in eachanalysis is displayed in the "FOS" sheet along with FOS.

2.03.03 INCLUDE SOIL NAIL

If selected the Effect of defined Geogrid is included in the analysis. The Tention in the Reinforcement iscalculated and the resisting moment due to these reinforcement tention is found. These additionalrestoring moment due to the reinforcement tention, is inroduced in above analysis by FelleniusMethod and Bishop's Method as given:

Page 20: Slope Stability + SOIL NAIL V2.1

Say there are n number of reinforcement at elevation y1, y2, .. , yn.Tention in the Reinforcement = T1 , T2, .. , Tn

say the y-ordinate of the center of the slip circle is = YcenterThen the Moment of resistance due to the Reinforcement would be

∑ M = T1.(Ycenter - y1) + T2.(Ycenter - y2) + .. + T2.(Ycenter - y2)

where, R : Radius of the slip circle

CALCULATING TENTION IN REINFORCEMENT /GEOGRID - (T)

The calculated tention would be minimum of following:

1.

2.

3.

NOTE : THE EFFECT OF SHEAR FORCE IS NEGLIGABLE

1. The allowable tensile capacity of Soil Nail

where, Characteristic yield strength of the soil-nail reinforcementEffective cross-sectional area of the soil-nail reinforcement

Factor of safety against tensile failure of soil-nail reinforcement

2. Pullout resistance Soil-Grout Interface

REINFORCEMENT PULLOUT RESISTANCE: (HA 68/69)

Where,Le = Length of reinforcement type which extends beyond the critical failure mechanism.

σ’n = Average radial effective stress acting on the reinforcement beyond the failure surface. (Discussed later)

, = Design Strength parameter for the soil

Factor of safety against pullout failure at soil-grout interface

The value of ‘λp’ shall be taken as follows:

Hence the Factor of Safety = (∑ S + ∑ M / R)/ ( ∑W sin α )

The allowable tensile capacity of Soil Nail (TT)

Pullout resistance Soil-Grout Interface (TSG)

Pullout resistance Grout-Soil Reinforcement Interface(TGR)

The allowable tensile capacity, TT, of a soil nail is given by:

fy :A' :

FT :

Where an assumed failure surface cuts a layer of reinforcement or row of soil nails, the force mobilized in the reinforcement or nails is assumed to be the lesser of the rupture strength and the pull-out resistance of the length of reinforcement or nails which lies beyond the failure surface. In its most general form the pull out resistance of each layer of reinforcement is given by:

σ’n =

FSG =

Page 21: Slope Stability + SOIL NAIL V2.1

Where,

= Diameter of the grout hole around the nail.

= Horizontal spacing of the nailα = Interface sliding factor =

Where,

= Vertical stress acting along the length.

= Coefficient of lateral earth pressure parallel to slope = ½ (1+Ka)

Ka =

3. Pullout resistance Grout-Soil Reinforcement Interface

(GUIDE TO SOIL NAIL DESIGN AND CONSTRUCTION - (GEOGUIDE 7))The allowable pullout resistance provided by the grout-reinforcement bond length in

where, β : Coefficient of friction at the grout-reinforcement interface, which depends onthe bar type characteristic in accordance with BS 8110 (BSI, 1997), e.g., 0.5for high yield deformed steel bars

fcu : Characteristic strength of cement groutPr : Effective perimeter of the soil-nail reinforcementL : Bond length of the soil-nail reinforcement in the passive zone

Factor of safety against pullout failure at grout-reinforcement interface (=2.0 assumed)

dhole

Sh

The average radial effective stress, F’, acting along the pull-out length of a soil nail may be derived from:

σ’v

KL

(1 - sinΦ’des)/ (1 + sinΦ’des)

the passive zone, TGR, is given by:

FGR :