Slope Stability Analysis.xlsx

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

TRIAL 1 c'=

24 kN/m²

c'bn bn hnavg An Wn Wntanø (m) (m) (m²) (kN/m) (kN/m) (kN/m) 0.9945 3.404 3.38528 54.1644 23.868 26.4178 0.9945 5.7687 5.73697 91.7916 23.868 44.7697 0.9945 7.2795 7.23946 115.831 23.868 56.4948 0.9945 3.4146 3.39582 54.3331 23.868 26.5 0.9945 9.2996 9.24845 147.975 23.868 72.1723 0.9945 10.0131 9.95803 159.328 23.868 77.7097 0.7416 9.7763 7.2501 116 17.7984 56.5778 0.7416 0.6437 0.47737 7.63789 17.7984 3.72525 0.7416 7.4603 5.53256 88.5209 17.7984 43.1745 0.7416 6.2162 4.60993 73.7589 17.7984 35.9746 0.7416 4.9197 3.64845 58.3752 17.7984 28.4715 0.7416 3.5735 2.65011 42.4017 17.7984 20.6807 0.7416 2.1792 1.61609 25.8575 17.7984 12.6116 0.7416 0.7376 0.547 8.75207 17.7984 4.26867

Calc Fs

Trial Fs Calc Fs 1 1.3469 1.5 1.48671 2 1.57374 2.5 1.63363 Fs= 1.51024

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

Wnsinαn (kN/m) 51.7977 80.2827 91.2764 38.4193 93.1238 86.7765 54.4595 3.10661 30.2759 20.3307 13.1316 6.63309 2.25363 0.30544 572.173

Calculate Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0.8

αn (deg) 73 61 52 45 39 33 28 24 20 16 13 9 5 2

2.6

1 66.2708 75.311 80.3628 47.879 88.5911 91.983 66.8896 19.3571 55.104 49.0765 42.681 36.165 29.2768 21.7107 770.658 1.3469

0 0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice

bn (m) 1.8939 1.8939 1.8939 1.8939 1.8939 1.8939 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416

1 2 3 4 5 6 7 8 9 10 11 12 13 14

hnavg (m) 4.7267 7.8727 9.8538 11.1286 11.9788 12.491 11.9268 10.4797 8.986 7.4564 5.8796 4.2585 2.6344 0.8764

An (m²) 8.9519 14.9101 18.6621 21.0765 22.6866 23.6567 8.84491 7.77175 6.66402 5.52967 4.36031 3.1581 1.95367 0.64994

TRIAL 4 c'=

Wn (kN/m) 143.23 238.562 298.594 337.223 362.986 378.507 141.519 124.348 106.624 88.4747 69.765 50.5297 31.2587 10.399

c'bn (kN/m) 45.4536 45.4536 45.4536 45.4536 45.4536 45.4536 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

24 kN/m²

Wntanø (kN/m) 69.8581 116.354 145.634 164.475 177.04 184.61 69.0233 60.6485 52.0041 43.152 34.0267 24.645 15.2459 5.07194

Trial Fs Calc Fs 1 2.7119 1.5 2.88257 2 2.98867 2.5 3.06131 Fs= 2.91111

3

Calc Fs

2.9 2.8 2.7 2.6 2.5 1

1.2

1.4

1.6

1.8

2

2.2

2.4

Wnsinαn (kN/m) 132.801 187.989 187.911 163.489 124.149 72.2226 12.3342 2.17017 -3.7211 -7.7111 -10.914 -10.506 -8.0904 -3.3856 838.738

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1 139.463 161.808 176.266 188.941 201.078 214.075 83.5866 77.7966 71.0553 63.9103 56.8637 48.4103 39.3529 29.0702 1551.68 2.7119

Calculate

3.1

0.8

αn (deg) 68 52 39 29 20 11 5 1 -2 -5 -9 -12 -15 -19

2.6

Calc

2.8 2.7 2.6 2.5 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.75879 0.60332 0.52558 0.47894 0.91139 0.7692 0.6981 0.65544 1 0.87189 0.80783 0.7694 1.05199 0.93703 0.87955 0.84506 1.08409 0.98177 0.93062 0.89992 1.10431 1.01576 0.97149 0.94493 1.11192 1.0356 0.99744 0.97454 1.11192 1.0458 1.01273 0.9929 1.10651 1.0509 1.0231 1.00642 1.0957 1.05089 1.02848 1.01504 1.08409 1.04751 1.02923 1.01826 1.06399 1.03855 1.02584 1.01821 1.0387 1.02453 1.01745 1.0132 1.01641 1.01074 1.0079 1.0062 14.5398 13.4835 12.9553 12.6384 Calculated Fs 1.5 2 2.5 83.3485 95.6763 104.994 89.233 98.3208 104.72 92.171 99.4797 104.449 53.7531 57.2659 59.603 97.8234 103.201 106.721 100.001 104.559 107.498 71.8195 74.5674 76.3194 20.5811 21.253 21.6776 58.0196 59.5963 60.5841 51.1692 52.284 52.9765 44.1711 44.9559 45.4403 37.0507 37.5099 37.791 29.6817 29.8884 30.0138 21.8326 21.8941 21.9311 850.656 900.451 934.718 1.48671 1.57374 1.63363

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.82682 0.67609 0.60072 0.55549 1 0.87189 0.80783 0.7694 1.08409 0.98177 0.93062 0.89992 1.11108 1.03226 0.99285 0.9692 1.10651 1.0509 1.0231 1.00642 1.07469 1.04367 1.02816 1.01885 1.0387 1.02453 1.01745 1.0132 1.00836 1.00552 1.0041 1.00325 0.98237 0.98804 0.99088 0.99258 0.95369 0.96786 0.97494 0.97919 0.91139 0.93682 0.94954 0.95717 0.87674 0.91054 0.92744 0.93759 0.83969 0.88177 0.90281 0.91543 0.78673 0.83966 0.86612 0.882 13.6009 13.2113 13.0166 12.8997 Calculated Fs 1.5 2 2.5 170.558 191.957 207.584 185.584 200.299 210.305 194.635 205.334 212.338 203.368 211.441 216.599 211.717 217.47 221.075 220.437 223.763 225.807 84.7426 85.3327 85.6907 78.0161 78.1263 78.1926 70.6473 70.445 70.3242 62.9747 62.517 62.2456 55.32 54.5792 54.1441 46.6132 45.7638 45.2688 37.475 36.6017 36.097 27.2377 26.4054 25.93 1649.33 1710 1751.6 2.88257 2.98867 3.06131

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

c'=

c'bn bn hnavg An Wn (m) (m) (m²) (kN/m) (kN/m) 1.264 3.8177 4.82557 77.2092 30.336 1.264 6.4511 8.15419 130.467 30.336 1.264 8.0946 10.2316 163.705 30.336 1.264 9.2875 11.7394 187.83 30.336 1.264 10.189 12.8789 206.062 30.336 1.264 10.8716 13.7417 219.867 30.336 0.7416 10.5404 7.81676 125.068 17.7984 0.7416 9.2927 6.89147 110.263 17.7984 0.7416 7.9934 5.92791 94.8465 17.7984 0.7416 6.6449 4.92786 78.8457 17.7984 0.7416 5.2489 3.89258 62.2813 17.7984 0.7416 3.8066 2.82297 45.1676 17.7984 0.7416 2.3184 1.71933 27.5092 17.7984 0.7416 0.7844 0.58171 9.30738 17.7984

Trial Fs Calc Fs 1 1.81008 1.5 1.97007 2 2.06837 2.5 2.13541 Fs= 1.99598

2.2 2.1

Calc Fs

2 1.9 1.8 1.7 1.6 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

1.7 1.6 0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice

bn hnavg An Wn (m) (m) (m²) (kN/m) 1.234 2.7811 3.43188 54.91 1.234 5.4425 6.71605 107.457 1.234 7.1617 8.83754 141.401 1.234 8.4401 10.4151 166.641 1.234 9.4334 11.6408 186.253 1.234 10.2144 12.6046 201.673 0.7416 9.9707 7.39427 118.308 0.7416 8.772 6.50532 104.085 0.7416 7.5676 5.61213 89.7941 0.7416 6.2935 4.66726 74.6762 0.7416 4.9741 3.68879 59.0207 0.7416 3.6114 2.67821 42.8514 0.7416 2.2064 1.63627 26.1803 0.7416 0.7599 0.56354 9.01667

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Trial Fs 1 1.5 2 2.5 Fs=

2

Calc Fs

1.5 1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

Calc

1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

TRIAL 2 24 kN/m²

Wntanø (kN/m) 37.6574 63.633 79.8444 91.611 100.503 107.236 61 53.7791 46.2597 38.4556 30.3766 22.0297 13.4171 4.53951

αn (deg) 71 57 48 39 32 25 20 16 12 9 5 2 -2 -5

ø'=

Wnsinαn (kN/m) 73.0027 109.419 121.657 118.206 109.196 92.9199 42.7758 30.3927 19.7197 12.3342 5.42818 1.57633 -0.9601 -0.8112 734.856

26

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.78673 0.63301 0.55615 0.51003 0.95369 0.81734 0.74916 0.70826 1.03159 0.91077 0.85036 0.81411 1.08409 0.98177 0.93062 0.89992 1.10651 1.02035 0.97728 0.95143 1.11243 1.04372 1.00937 0.98876 1.10651 1.0509 1.0231 1.00642 1.0957 1.05089 1.02848 1.01504 1.07955 1.04575 1.02885 1.01871 1.06399 1.03855 1.02584 1.01821 1.0387 1.02453 1.01745 1.0132 1.01641 1.01074 1.0079 1.0062 0.98237 0.98804 0.99088 0.99258 0.95369 0.96786 0.97494 0.97919 14.4119 13.5842 13.1704 12.9221

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 86.4255 107.413 122.258 133.312 2 98.5325 114.97 125.432 132.676 3 106.807 120.975 129.569 135.338 4 112.488 124.211 131.039 135.508 5 118.245 128.229 133.881 137.518 6 123.668 131.809 136.295 139.137 7 71.2135 74.9815 77.0191 78.2957 8 65.3259 68.1115 69.5954 70.5171 9 59.3376 61.2556 62.2619 62.8816 10 52.871 54.1657 54.8372 55.2481 11 46.38 47.0214 47.3489 47.5475 12 39.185 39.405 39.5159 39.5827 13 31.7758 31.5933 31.5028 31.4488 14 23.4227 23.0798 22.9121 22.8126 Sum= 1035.68 1127.22 1183.47 1221.82 Fs= 1.81008 1.97007 2.06837 2.13541

2.4

2.6

pi= 3.14159

2.4

2.6

TRIAL 5 c'=

c'bn (kN/m) 29.616 29.616 29.616 29.616 29.616 29.616 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

Calc Fs 1.34681 1.6084 1.82637 1.23129 1.50322

2.2

2.4

2.6

24 kN/m²

Wntanø (kN/m) 26.7814 52.4101 68.9657 81.2764 90.8417 98.3625 57.7028 50.7657 43.7955 36.422 28.7863 20.9 12.769 4.39772

αn (deg) 71 59 50 42 35 29 24 21 13 14 11 3 5 2

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

ø'=

Wnsinαn (kN/m) 51.9185 92.1084 108.319 111.505 106.83 97.7731 48.1203 37.3007 20.1993 18.0658 11.2617 2.24267 2.28176 0.31468 708.241

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.78673 0.63301 0.55615 0.51003 0.93311 0.79375 0.72407 0.68227 1.01641 0.89187 0.8296 0.79224 1.0695 0.96072 0.90632 0.87369 1.0989 1.00565 0.95903 0.93105 1.11108 1.03226 0.99285 0.9692 1.11192 1.0458 1.01273 0.9929 1.10837 1.05011 1.02097 1.0035 1.08409 1.04751 1.02923 1.01826 1.08829 1.04896 1.02929 1.01749 1.07469 1.04367 1.02816 1.01885 1.02416 1.01565 1.01139 1.00884 1.0387 1.02453 1.01745 1.0132 1.01641 1.01074 1.0079 1.0062 14.5624 13.6042 13.1252 12.8377

Calculated Fs 1 1.5 2 2.5 71.686 154.471 221.017 103.337 87.9065 140.359 208.692 136.371 96.9898 133.389 190.838 138.009 103.686 128.317 169.371 128.85 109.616 125.134 147.89 115.922 115.184 123.382 127.686 102.026 67.9014 78.1249 71.2134 49.5845 61.8604 68.3414 57.103 38.2753 56.8164 54.2193 32.2565 20.9018 49.8217 48.0687 31.1532 18.8248 43.3471 38.1216 21.652 12.1081 37.7857 23.5318 5.18362 3.2382 29.4284 17.3435 7.15688 3.27721 21.8377 6.32975 2.29653 1.32289 953.868 1139.13 1293.51 872.047 1.34681 1.6084 1.82637 1.23129

2.2

2.4

2.6

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn hnavg (m) (m) 1.5566 4.1878 1.5566 7.2011 1.5566 8.9649 1.5566 10.199 1.5566 11.0842 1.5566 11.6977 0.7416 11.2582 0.7416 9.9053 0.7416 7.0615 0.7416 8.506 0.7416 5.5785 0.7416 4.0375 0.7416 2.4576 0.7416 0.8312

2.6 2.5 Calc Fs

2.4 2.3 2.2 2.1 2 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.

2 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.

TRIAL 3

BORROMEO kN/m^3

4

An (m²) 6.51873 11.2092 13.9548 15.8758 17.2537 18.2086 8.34908 7.34577 5.23681 6.30805 4.13702 2.99421 1.82256 0.61642

c'=

Wn (kN/m) 104.3 179.348 223.276 254.012 276.059 291.338 133.585 117.532 83.7889 100.929 66.1922 47.9074 29.1609 9.86269

c'bn (kN/m) 37.3584 37.3584 37.3584 37.3584 37.3584 37.3584 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

Trial Fs Calc Fs 1 2.20834 1.5 2.37489 2 2.47749 2.5 2.54753 Fs= 2.40206

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

24 kN/m²

Wntanø (kN/m) 50.8703 87.4737 108.899 123.89 134.643 142.095 65.1539 57.3243 40.8666 49.2263 32.2841 23.366 14.2227 4.81035

αn (deg) 70 54 43 34 25 18 12 9 5 2 -2 -5 -9 -12

ø'=

Wnsinαn (kN/m) 98.0096 145.095 152.274 142.042 116.667 90.0285 27.7739 18.3861 7.30269 3.52236 -2.3101 -4.1754 -4.5618 -2.0506 788

26

pi=

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.80034 0.64757 0.57118 0.52535 0.98237 0.85084 0.78508 0.74562 1.06399 0.95311 0.89767 0.86441 1.10177 1.01086 0.96541 0.93813 1.11243 1.04372 1.00937 0.98876 1.10177 1.05153 1.02642 1.01134 1.07955 1.04575 1.02885 1.01871 1.06399 1.03855 1.02584 1.01821 1.0387 1.02453 1.01745 1.0132 1.01641 1.01074 1.0079 1.0062 0.98237 0.98804 0.99088 0.99258 0.95369 0.96786 0.97494 0.97919 0.91139 0.93682 0.94954 0.95717 0.87674 0.91054 0.92744 0.93759 14.0855 13.4805 13.178 12.9964

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 110.239 136.247 154.468 167.944 2 127.073 146.716 159.006 167.421 3 137.462 153.453 162.93 169.2 4 146.353 159.516 167.027 171.882 5 154.617 164.796 170.404 173.957 6 162.877 170.659 174.835 177.441 7 76.8395 79.3232 80.6262 81.4288 8 70.605 72.334 73.2307 73.7794 9 56.4791 57.2602 57.6589 57.9008 10 65.9424 66.3126 66.4992 66.6117 11 50.9814 50.6886 50.5435 50.4568 12 43.1635 42.5315 42.2225 42.0392 13 35.1344 34.1805 33.7228 33.454 14 25.7872 24.8299 24.3775 24.1138 Sum= 1263.55 1358.85 1417.55 1457.63 Fs= 2.20834 2.37489 2.47749 2.54753

4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

3.14159

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

TRIAL 6 c'=

24 kN/m²

c'bn bn hnavg An Wn Wntanø (m) (m) (m²) (kN/m) (kN/m) (kN/m) 1.4472 2.4434 3.53609 56.5774 34.7328 27.5946 1.4472 5.231 7.5703 121.125 34.7328 59.0765 1.4472 7.0836 10.2514 164.022 34.7328 79.999 1.4472 8.4638 12.2488 195.981 34.7328 95.5863 1.4472 9.5288 13.7901 220.641 34.7328 107.614 1.4472 10.3542 14.9846 239.754 34.7328 116.936 1.4472 10.1511 14.6907 235.051 34.7328 114.642 0.7416 8.8701 6.57807 105.249 17.7984 51.3334 0.7416 7.5945 5.63208 90.1133 17.7984 43.9512 0.7416 6.3603 4.7168 75.4688 17.7984 36.8086 0.7416 5 3.708 59.328 17.7984 28.9362 0.7416 3.5125 2.60487 41.6779 17.7984 20.3277 0.7416 2.211 1.63968 26.2348 17.7984 12.7956 0.7416 0.7235 0.53655 8.58476 17.7984 4.18707

Calc Fs

Trial Fs Calc Fs 1 1.37117 1.5 1.49402 2 1.568 2.5 1.61774 Fs= 1.51273

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

Wnsinαn (kN/m) 52.8196 101.584 119.958 125.974 120.17 105.101 88.0516 34.2657 24.8386 16.9768 10.3022 5.07926 1.83005 0.14982 807.101

Calculate Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1.65 1.6 1.55 1.5 1.45 1.4 1.35 1.3 1.25 1.2 0.8

αn (deg) 69 57 47 40 33 26 22 19 16 13 10 7 4 1

2.6

1 76.5971 98.365 110.457 120.716 128.901 136.319 134.585 62.6019 56.3563 50.3714 43.6975 36.242 29.6572 21.8032 1106.67 1.37117

1.2 0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice

TRIAL 9 c'=

24 kN/m²

bn hnavg An Wn c'bn Wntanø (m) (m) (m²) (kN/m) (kN/m) (kN/m) 1.1984 3.0365 3.63894 58.2231 28.7616 28.3973 1.1984 6.2538 7.49455 119.913 28.7616 58.4854 1.1984 8.2921 9.93725 159 28.7616 77.5476 1.1984 9.7329 11.6639 186.623 28.7616 91.0219 1.1984 10.7658 12.9017 206.428 28.7616 100.682 1.1984 11.4737 13.7501 220 28.7616 107.302 0.7416 11.0105 8.16539 130.646 17.7984 63.7204 0.7416 9.7121 7.20249 115.24 17.7984 56.2063 0.7416 8.3194 6.16967 98.7147 17.7984 48.1464 0.7416 6.8893 5.1091 81.7457 17.7984 39.87 0.7416 5.4226 4.0214 64.3424 17.7984 31.3819 0.7416 3.9351 2.91827 46.6923 17.7984 22.7734 0.7416 2.3795 1.76464 28.2342 17.7984 13.7707 0.7416 0.8026 0.59521 9.52333 17.7984 4.64484

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Trial Fs Calc Fs 1 1.25724 1.5 1.33814 2 1.38652 2.5 1.41888 Fs= 1.3502

1.4

calc Fs

1.35 1.3 1.25 1.2 1.15 1

1.2

1.4

1.6

1.8

2

2.2

2.4

Wnsinαn (kN/m) 53.1894 94.4926 106.389 101.642 87.2401 64.3222 27.1629 18.0275 10.3185 4.27824 0 -1.6295 -2.4608 -1.3254 561.647

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1 67.0641 87.247 99.4006 108.469 116.36 123.817 75.5116 69.5541 63.0746 56.3083 49.1803 41.2999 33.1022 24.3316 1014.72 1.25724

Calculate

1.45

0.8

αn (deg) 66 52 42 33 25 17 12 9 6 3 0 -2 -5 -8

2.6

calc

1.3 1.25 1.2 1.15 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.81371 0.66193 0.58604 0.5405 0.95369 0.81734 0.74916 0.70826 1.0387 0.9198 0.86035 0.82468 1.07955 0.97505 0.9228 0.89145 1.10431 1.01576 0.97149 0.94493 1.1126 1.04133 1.0057 0.98432 1.10989 1.04899 1.01854 1.00027 1.10431 1.05138 1.02491 1.00903 1.0957 1.05089 1.02848 1.01504 1.08409 1.04751 1.02923 1.01826 1.0695 1.04127 1.02715 1.01869 1.05199 1.03217 1.02227 1.01632 1.03159 1.02025 1.01458 1.01117 1.00836 1.00552 1.0041 1.00325 14.658 13.7292 13.2648 12.9862 Calculated Fs 1.5 2 2.5 94.1607 106.354 115.314 114.774 125.219 132.451 124.735 133.355 139.123 133.654 141.222 146.188 140.138 146.524 150.643 145.648 150.809 154.085 142.399 146.656 149.335 65.7535 67.4513 68.5128 58.7595 60.0396 60.8348 52.1301 53.0563 53.6279 44.8823 45.4991 45.8774 36.9377 37.2957 37.5138 29.9869 30.1545 30.2559 21.8647 21.8956 21.9142 1205.82 1265.53 1305.68 1.49402 1.568 1.61774

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.8523 0.70378 0.62952 0.58496 1 0.87189 0.80783 0.7694 1.0695 0.96072 0.90632 0.87369 1.10431 1.01576 0.97149 0.94493 1.11243 1.04372 1.00937 0.98876 1.0989 1.05137 1.0276 1.01334 1.07955 1.04575 1.02885 1.01871 1.06399 1.03855 1.02584 1.01821 1.0455 1.02851 1.02001 1.01491 1.02416 1.01565 1.01139 1.00884 1 1 1 1 0.98237 0.98804 0.99088 0.99258 0.95369 0.96786 0.97494 0.97919 0.92239 0.94502 0.95633 0.96312 14.3091 13.6766 13.3604 13.1706 Calculated Fs 1.5 2 2.5 81.2169 90.7976 97.7137 100.067 108 113.397 110.656 117.297 121.679 117.925 123.299 126.765 124.02 128.242 130.915 129.415 132.408 134.272 77.9524 79.2329 80.0216 71.2574 72.1407 72.6813 64.1168 64.6509 64.9757 56.78 57.0188 57.1631 49.1803 49.1803 49.1803 41.0628 40.9452 40.875 32.6176 32.3806 32.24 23.7491 23.4681 23.3027 1080.02 1119.06 1145.18 1.33814 1.38652 1.41888

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

c'=

c'bn bn hnavg An Wn (m) (m) (m²) (kN/m) (kN/m) 1.6396 2.2406 3.67369 58.779 39.3504 1.6396 5.0799 8.329 133.264 39.3504 1.6396 7.0211 11.5118 184.189 39.3504 1.6396 8.4508 13.8559 221.695 39.3504 1.6396 9.59 15.7238 251.58 39.3504 1.6396 10.4452 17.1259 274.015 39.3504 0.7416 10.1342 7.51552 120.248 17.7984 0.7416 8.9443 6.63309 106.129 17.7984 0.7416 7.6659 5.68503 90.9605 17.7984 0.7416 6.3506 4.7096 75.3537 17.7984 0.7416 4.9995 3.70763 59.3221 17.7984 0.7416 3.6136 2.67985 42.8775 17.7984 0.7416 2.1935 1.6267 26.0272 17.7984 0.7416 0.7184 0.53277 8.52425 17.7984

Trial Fs Calc Fs 1 1.38577 1.5 1.50497 2 1.57603 2.5 1.62344 Fs= 1.52255

1.65 1.6 1.55 Calc Fs

1.5 1.45 1.4 1.35 1.3 1.25 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

1.4 1.35 1.3 1.25 1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn hnavg An Wn (m) (m) (m²) (kN/m) 1.3292 3.2091 4.26554 68.2486 1.3292 5.964 7.92735 126.838 1.3292 7.5825 10.0787 161.259 1.3292 8.8943 11.8223 189.157 1.3292 9.8624 13.1091 209.746 1.3292 10.5939 14.0814 225.303 0.7416 10.3726 7.69232 123.077 0.7416 9.139 6.77748 108.44 0.7416 7.8566 5.82645 93.2233 0.7416 6.5279 4.84109 77.4575 0.7416 5.1328 3.80648 60.9038 0.7416 3.6944 2.73977 43.8363 0.7416 2.2776 1.68907 27.0251 0.7416 0.3389 0.25133 4.02125

Trial Fs 1 1.5 2 2.5 Fs=

2 1.8 1.6 1.4 1.2 Calc Fs

0.8

1 0.8 0.6 0.4 0.2

1.4 Calc Fs

1.2 1 0.8 0.6 0.4 0.2 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.

TRIAL 7 24 kN/m²

Wntanø (kN/m) 28.6684 64.9972 89.8348 108.128 122.704 133.646 58.649 51.7628 44.3644 36.7524 28.9333 20.9128 12.6943 4.15755

αn (deg) 66 54 45 38 31 24 20 17 14 12 9 6 4 1

ø'=

Wnsinαn (kN/m) 53.6973 107.813 130.241 136.489 129.573 111.452 41.1274 31.0293 22.0053 15.6669 9.28002 4.48192 1.81557 0.14877 794.821

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.8523 0.70378 0.62952 0.58496 0.98237 0.85084 0.78508 0.74562 1.05199 0.93703 0.87955 0.84506 1.08829 0.9882 0.93815 0.90812 1.10837 1.02463 0.98277 0.95765 1.11192 1.0458 1.01273 0.9929 1.10651 1.0509 1.0231 1.00642 1.0989 1.05137 1.0276 1.01334 1.08829 1.04896 1.02929 1.01749 1.07955 1.04575 1.02885 1.01871 1.06399 1.03855 1.02584 1.01821 1.0455 1.02851 1.02001 1.01491 1.03159 1.02025 1.01458 1.01117 1.00836 1.00552 1.0041 1.00325 14.7179 13.8401 13.4012 13.1378

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 79.806 96.6478 108.049 116.279 2 106.22 122.641 132.914 139.948 3 122.801 137.867 146.877 152.871 4 135.514 149.24 157.201 162.399 5 146.21 158.158 164.896 169.221 6 155.583 165.421 170.821 174.234 7 69.089 72.7446 74.7214 75.9599 8 63.3005 66.1624 67.6926 68.6452 9 57.1198 59.2615 60.3937 61.0941 10 50.531 52.1643 53.0212 53.549 11 43.9213 44.9969 45.5547 45.896 12 37.0263 37.6381 37.9516 38.1423 13 29.559 29.8876 30.0547 30.1558 14 21.7739 21.8354 21.8662 21.8848 Sum= 1118.46 1214.66 1272 1310.28 Fs= 1.38577 1.50497 1.57603 1.62344

TRIAL 10 c'=

c'bn (kN/m) 31.9008 31.9008 31.9008 31.9008 31.9008 31.9008 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

Calc Fs 1.38453 1.56819 1.74208 1.23231 1.48178

24 kN/m²

Wntanø (kN/m) 33.2871 61.8628 78.651 92.258 102.3 109.887 60.0287 52.8896 45.468 37.7785 29.7047 21.3804 13.181 1.9613

αn (deg) 71 58 48 40 32 26 21 17 14 10 7 4 0 -3

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

ø'=

Wnsinαn (kN/m) 64.5303 107.564 119.838 121.588 111.148 98.7662 44.1069 31.7047 22.5528 13.4503 7.4223 3.05786 0 -0.2105 745.52

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.78673 0.63301 0.55615 0.51003 0.94354 0.80567 0.73673 0.69537 1.03159 0.91077 0.85036 0.81411 1.07955 0.97505 0.9228 0.89145 1.10651 1.02035 0.97728 0.95143 1.1126 1.04133 1.0057 0.98432 1.10837 1.05011 1.02097 1.0035 1.0989 1.05137 1.0276 1.01334 1.08829 1.04896 1.02929 1.01749 1.0695 1.04127 1.02715 1.01869 1.05199 1.03217 1.02227 1.01632 1.03159 1.02025 1.01458 1.01117 1 1 1 1 0.9731 0.98161 0.98587 0.98842 14.4823 13.6119 13.1767 12.9156

Calculated Fs 1 1.5 2 2.5 82.8594 164.748 243.695 128.064 99.3743 148.775 224.729 156.044 107.167 139.06 197.374 148.468 115.009 135.642 175.106 137.605 121.283 131.621 146.477 117.985 127.438 130.494 124.059 101.47 70.2178 77.1625 63.7694 45.0578 64.3259 66.4747 47.3964 32.3716 58.1339 56.6925 35.5125 23.2346 51.9653 45.8848 22.8304 14.2535 45.1557 35.5607 14.1082 8.33819 37.9791 24.8767 6.95647 4.04426 30.9794 13.181 0 1 20.3059 -1.0582 -3.2565 0.77158 1032.19 1169.11 1298.76 918.708 1.38453 1.56819 1.74208 1.23231

2

2.2

2.4

2.6

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn hnavg (m) (m) 1.5195 2.8617 1.5195 5.7487 1.5195 7.5825 1.5195 8.8447 1.5195 9.9107 1.5195 10.5717 0.7416 10.3954 0.7416 9.1495 0.7416 7.861 0.7416 6.5262 0.7416 5.1484 0.7416 3.7289 0.7416 2.269 0.7416 0.77655

2.5 2

Calc Fs

1.5 1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

Cal

1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

TRIAL 8

BORROMEO kN/m^3

.4

c'=

An (m²) 4.34835 8.73515 11.5216 13.4395 15.0593 16.0637 7.70923 6.78527 5.82972 4.83983 3.81805 2.76535 1.68269 0.57589

Wn (kN/m) 69.5737 139.762 184.346 215.032 240.949 257.019 123.348 108.564 93.2755 77.4373 61.0889 44.2456 26.923 9.21423

c'bn (kN/m) 36.468 36.468 36.468 36.468 36.468 36.468 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

24 kN/m²

Wntanø (kN/m) 33.9333 68.1667 89.9114 104.878 117.519 125.357 60.1607 52.9504 45.4935 37.7687 29.795 21.58 13.1312 4.49408

Trial Fs Calc Fs 1 1.49001 1.5 1.69702 2 1.85412 2.5 1.98295 Fs= 1.75602

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

αn (deg) 71 87 47 39 32 25 20 17 13 10 7 4 0 -3

ø'=

Wnsinαn (kN/m) 65.7832 139.571 134.822 135.324 127.683 108.621 42.1874 31.7411 20.9824 13.4468 7.44486 3.08642 0 -0.4822 830.212

26

pi=

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.78673 0.63301 0.55615 0.51003 0.5394 0.37705 0.29587 0.24716 1.0387 0.9198 0.86035 0.82468 1.08409 0.98177 0.93062 0.89992 1.10651 1.02035 0.97728 0.95143 1.11243 1.04372 1.00937 0.98876 1.10651 1.0509 1.0231 1.00642 1.0989 1.05137 1.0276 1.01334 1.08409 1.04751 1.02923 1.01826 1.0695 1.04127 1.02715 1.01869 1.05199 1.03217 1.02227 1.01632 1.03159 1.02025 1.01458 1.01117 1 1 1 1 0.9731 0.98161 0.98587 0.98842 14.0835 13.2008 12.7594 12.4946

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 89.4862 111.217 126.587 138.033 2 193.983 277.512 353.653 423.345 3 121.67 137.399 146.893 153.247 4 130.383 143.97 151.885 157.065 5 139.165 150.915 157.567 161.847 6 145.469 155.045 160.322 163.665 7 70.4551 74.183 76.1989 77.4619 8 64.3812 67.2919 68.8482 69.8171 9 58.3827 60.421 61.4945 62.1571 10 51.9561 53.3647 54.0981 54.5478 11 45.2415 46.1099 46.5568 46.8291 12 38.1727 38.597 38.8127 38.9433 13 30.9296 30.9296 30.9296 30.9296 14 22.9086 22.7101 22.6121 22.5537 Sum= 1202.58 1369.67 1496.46 1600.44 Fs= 1.49001 1.69702 1.85412 1.98295

.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

3.14159

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

TRIAL 11 c'=

24 kN/m²

c'bn bn hnavg An Wn Wntanø (m) (m) (m²) (kN/m) (kN/m) (kN/m) 1.6612 3.1381 5.21301 83.4082 39.8688 40.6809 1.6612 6.1865 10.277 164.432 39.8688 80.199 1.6612 8.1096 13.4717 215.547 39.8688 105.129 1.6612 9.4816 15.7508 252.013 39.8688 122.915 1.6612 10.4873 17.4215 278.744 39.8688 135.953 1.6612 11.2105 18.6229 297.966 39.8688 145.328 0.7416 10.9401 8.11318 129.811 17.7984 63.313 0.7416 9.5257 7.06426 113.028 17.7984 55.1275 0.7416 8.1231 6.02409 96.3855 17.7984 47.0103 0.7416 6.7731 5.02293 80.3669 17.7984 39.1976 0.7416 5.3367 3.9577 63.3231 17.7984 30.8848 0.7416 3.8027 2.82008 45.1213 17.7984 22.0071 0.7416 2.2686 1.68239 26.9183 17.7984 13.1289 0.7416 0.7811 0.57926 9.26822 17.7984 4.52041

Trial Fs Calc Fs 1 1.51671 1.5 1.63815 2 1.71182 2.5 1.7616 Fs= 1.65707

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1.75 1.7

Calc Fs

1.65 1.6 1.55 1.5 1.45 1.4 1.35 1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

Wnsinαn (kN/m) 77.8683 133.028 149.731 144.549 126.547 101.91 33.5975 23.4999 15.078 7.00444 2.20995 0.78748 -1.8777 -1.1295 812.805

Calculate

1.8

0.8

αn (deg) 69 54 44 35 27 20 15 12 9 5 2 1 -4 -7

2.6

1 98.9912 122.223 137.03 148.133 158.051 167.37 74.2669 67.552 60.9112 54.8722 47.8971 39.4755 32.0976 23.9188 1232.79 1.51671

1.45 1.4 1.35 0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice

bn (m) 0.7602 0.7602 0.7602 0.7602 0.7602 0.7602 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416

1 2 3 4 5 6 7 8 9 10 11 12 13 14

hnavg (m) 2.9954 5.1042 6.479 7.533 8.388 9.1003 8.9509 7.9624 6.8989 5.7692 4.5955 3.3344 2.0142 0.6911

An (m²) 2.2771 3.88021 4.92534 5.72659 6.37656 6.91805 6.63799 5.90492 5.11622 4.27844 3.40802 2.47279 1.49373 0.51252

TRIAL 1 4 c'=

Wn (kN/m) 36.4336 62.0834 78.8054 91.6254 102.025 110.689 106.208 94.4787 81.8596 68.455 54.5284 39.5647 23.8997 8.20032

c'bn (kN/m) 18.2448 18.2448 18.2448 18.2448 18.2448 18.2448 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

24 kN/m²

Wntanø (kN/m) 17.7699 30.2801 38.4359 44.6887 49.7609 53.9865 51.801 46.0803 39.9256 33.3877 26.5953 19.297 11.6567 3.99956

Trial Fs Calc Fs 1 0.86295 1.5 0.96498 2 1.02913 2.5 1.0736 Fs= 0.98267

1

Calc Fs

0.8 0.6 0.4 0.2 0 1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

Wnsinαn (kN/m) 35.3514 56.2667 66.0917 71.2063 73.3906 72.6184 62.4274 50.0661 38.4307 27.8432 18.6498 10.9055 5.37626 1.28281 589.907

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1 50.3584 56.1206 59.4333 62.4117 65.0458 67.2112 63.5206 57.7301 51.9136 46.0338 40.1205 33.8554 27.1704 20.4871 701.413 0.86295

Calculate

1.2

0.8

αn (deg) 76 65 57 51 46 41 36 32 28 24 20 16 13 9

2.6

C 0.4 0.2 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.81371 0.66193 0.58604 0.5405 0.98237 0.85084 0.78508 0.74562 1.05815 0.94521 0.88874 0.85486 1.0989 1.00565 0.95903 0.93105 1.11243 1.03862 1.00172 0.97958 1.10651 1.0509 1.0231 1.00642 1.09216 1.05008 1.02904 1.01642 1.07955 1.04575 1.02885 1.01871 1.06399 1.03855 1.02584 1.01821 1.0387 1.02453 1.01745 1.0132 1.01641 1.01074 1.0079 1.0062 1.00836 1.00552 1.0041 1.00325 0.96354 0.97488 0.98055 0.98396 0.93311 0.95292 0.96283 0.96877 14.3679 13.6561 13.3003 13.0867 Calculated Fs 1.5 2 2.5 121.69 137.448 149.027 141.117 152.938 161.031 153.403 163.149 169.615 161.869 169.738 174.839 169.283 175.52 179.487 176.226 181.015 184.016 77.2429 78.8221 79.8011 69.7354 70.881 71.5865 62.4029 63.1764 63.6498 55.6311 56.0185 56.2535 48.1659 48.3015 48.3832 39.5869 39.6429 39.6765 31.7242 31.5407 31.4317 23.4215 23.1805 23.0383 1331.5 1391.37 1431.84 1.63815 1.71182 1.7616

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.71517 0.55742 0.47854 0.43122 0.86465 0.71731 0.64364 0.59943 0.95369 0.81734 0.74916 0.70826 1.00836 0.88201 0.81884 0.78094 1.0455 0.92856 0.87008 0.835 1.07469 0.96803 0.9147 0.8827 1.0957 1.00014 0.95236 0.92369 1.10651 1.02035 0.97728 0.95143 1.11192 1.0356 0.99744 0.97454 1.11192 1.0458 1.01273 0.9929 1.10651 1.0509 1.0231 1.00642 1.0957 1.05089 1.02848 1.01504 1.08409 1.04751 1.02923 1.01826 1.06399 1.03855 1.02584 1.01821 14.4384 13.1604 12.5214 12.138 Calculated Fs 1.5 2 2.5 64.6098 75.2588 83.5181 67.6485 75.3918 80.9514 69.3481 75.6588 80.0284 71.3521 76.8569 80.5872 73.2382 78.1602 81.4443 74.6168 78.9672 81.8298 69.5898 73.0811 75.3493 62.6045 65.3639 67.1396 55.7397 57.8724 59.2321 48.9446 50.5425 51.5523 42.2434 43.3913 44.1105 35.2991 36.0681 36.5458 28.119 28.6186 28.927 20.9888 21.2489 21.4082 784.342 836.481 872.624 0.96498 1.02913 1.0736

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice

c'=

c'bn bn hnavg An Wn (m) (m) (m²) (kN/m) (kN/m) 1.9945 3.2864 6.55472 104.876 47.868 1.9945 6.4429 12.8504 205.606 47.868 1.9945 8.5207 16.9945 271.913 47.868 1.9945 9.9729 19.8909 318.255 47.868 1.9945 10.9967 21.9329 350.927 47.868 1.9945 11.6821 23.2999 372.799 47.868 0.7416 11.2378 8.33395 133.343 17.7984 0.7416 9.8584 7.31099 116.976 17.7984 0.7416 8.4419 6.26051 100.168 17.7984 0.7416 6.989 5.18304 82.9287 17.7984 0.7416 5.4999 4.07873 65.2596 17.7984 0.7416 3.9745 2.94749 47.1598 17.7984 0.7416 2.4126 1.78918 28.6269 17.7984 0.7416 0.8137 0.60344 9.65504 17.7984

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Calc Fs

Trial Fs Calc Fs 1 1.77882 1.5 1.90461 2 1.98033 2.5 2.03118 Fs= 1.92373

2.1 2.05 2 1.95 1.9 1.85 1.8 1.75 1.7 1.65 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice

bn (m) 0.5566 0.5566 0.5566 0.5566 0.5566 0.5566 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416

1 2 3 4 5 6 7 8 9 10 11 12 13 14

hnavg (m) 2.5989 4.449 5.6758 6.6345 7.4296 8.1094 8.0482 7.2265 6.3269 5.3032 4.2025 3.0903 1.894 0.6441

An (m²) 1.44655 2.47631 3.15915 3.69276 4.13532 4.51369 5.96855 5.35917 4.69203 3.93285 3.11657 2.29177 1.40459 0.47766

Wn (kN/m) 23.1448 39.621 50.5464 59.0842 66.165 72.2191 95.4967 85.7468 75.0725 62.9256 49.8652 36.6683 22.4734 7.64263

Trial Fs 1 1.5 2 2.5 Fs=

3 2.5 2 Calc Fs

C

1.8 1.75 1.7 1.65

1.5 1 0.5 0 0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

Calc Fs

1.5 1 0.5 0 0.8

1

1.2

1.4

1.6 Trial FS

1.8

2

2.2

2.4

TRIAL 12 24 kN/m²

Wntanø (kN/m) 51.1512 100.281 132.621 155.223 171.158 181.826 65.0358 57.0529 48.8553 40.447 31.8292 23.0014 13.9623 4.70908

αn (deg) 66 52 41 31 23 15 10 7 4 1 -2 -4 -7 -10

ø'=

Wnsinαn (kN/m) 95.8086 162.02 178.391 163.914 137.118 96.4875 23.1548 14.2558 6.98738 1.44731 -2.2775 -3.2897 -3.4887 -1.6766 868.851

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.8523 0.70378 0.62952 0.58496 1 0.87189 0.80783 0.7694 1.07469 0.96803 0.9147 0.8827 1.10837 1.02463 0.98277 0.95765 1.11108 1.04755 1.01579 0.99673 1.09216 1.05008 1.02904 1.01642 1.0695 1.04127 1.02715 1.01869 1.05199 1.03217 1.02227 1.01632 1.03159 1.02025 1.01458 1.01117 1.00836 1.00552 1.0041 1.00325 0.98237 0.98804 0.99088 0.99258 0.96354 0.97488 0.98055 0.98396 0.93311 0.95292 0.96283 0.96877 0.90011 0.92835 0.94246 0.95093 14.1792 13.6094 13.3245 13.1535

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 116.179 140.696 157.293 169.274 2 148.149 169.917 183.391 192.552 3 167.945 186.449 197.32 204.473 4 183.235 198.209 206.653 212.073 5 197.13 209.084 215.622 219.744 6 210.312 218.739 223.212 225.984 7 77.4513 79.5511 80.6444 81.3149 8 71.1524 72.5182 73.221 73.6492 9 64.6128 65.331 65.6962 65.9172 10 57.7625 57.9255 58.0074 58.0566 11 50.5183 50.2282 50.0844 49.9985 12 42.3436 41.851 41.609 41.4651 13 34.0376 33.3299 32.9869 32.7845 14 25.0051 24.2447 23.8816 23.6689 Sum= 1445.83 1548.07 1609.62 1651 Fs= 1.77882 1.90461 1.98033 2.03118

TRIAL 15 c'=

c'bn (kN/m) 13.3584 13.3584 13.3584 13.3584 13.3584 13.3584 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

24 kN/m²

Wntanø (kN/m) 11.2885 19.3245 24.6531 28.8173 32.2708 35.2236 46.5769 41.8215 36.6153 30.6909 24.3209 17.8843 10.961 3.72756

Calc Fs 1.14509 2.24638 2.81557 1.3406 1.88691

2

2.2

2.4

αn (deg) 73 69 62 57 53 49 44 40 35 31 27 23 20 16

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

2.6

ø'=

Wnsinαn (kN/m) 22.1334 36.9894 44.6298 49.5522 52.8418 54.5044 66.3376 55.117 43.0598 32.4091 22.6383 14.3274 7.68637 2.1066 504.333

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.75879 0.60332 0.52558 0.47894 0.81371 0.66193 0.58604 0.5405 0.90011 0.75657 0.68479 0.64173 0.95369 0.81734 0.74916 0.70826 0.99134 0.8615 0.79658 0.75762 1.02416 0.90146 0.84011 0.8033 1.05815 0.94521 0.88874 0.85486 1.07955 0.97505 0.9228 0.89145 1.0989 1.00565 0.95903 0.93105 1.10837 1.02463 0.98277 0.95765 1.11243 1.03862 1.00172 0.97958 1.11108 1.04755 1.01579 0.99673 1.10651 1.0509 1.0231 1.00642 1.0957 1.05089 1.02848 1.01504 14.2125 12.7406 12.0047 11.5631

Calculated Fs 1 1.5 2 2.5 32.4817 139.708 181.006 47.7977 40.1655 133.435 180.858 69.9406 42.2297 114.535 155.711 70.9489 44.2239 105 142.228 71.31 46.0281 98.98 132.871 71.0552 47.4362 93.4306 123.204 69.1258 60.8377 95.8271 124.15 78.8381 55.2265 83.9152 103.074 63.0396 49.5163 71.2127 81.3947 47.4288 43.7484 60.2077 64.5209 35 37.8623 49.4124 49.5531 24.2459 32.1154 39.0284 36.7472 15.4891 25.9912 29.4614 27.0613 8.7368 19.6459 18.7723 17.6052 3.15486 577.509 1132.92 1420 676.111 1.14509 2.24638 2.81557 1.3406

2

2.2

2.4

2.6

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16

Slice

bn (m) 2.3278 2.3278 2.3278 2.3278 2.3278 2.3278 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416

1 2 3 4 5 6 7 8 9 10 11 12 13 14

hnavg (m) 3.1874 6.7166 8.7872 10.4467 11.3863 12.1003 11.5771 10.1163 3.6695 7.1753 5.6414 3.9912 2.5238 0.7672

2.3 2.25 2.2

Calc FS

2.15 2.1 2.05 2 1.95 1.9 1.85 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

Calc

2.05 2 1.95 1.9 1.85 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

TRIAL 13

BORROMEO kN/m^3

An (m²) 7.41963 15.6349 20.4548 24.3178 26.505 28.1671 8.58558 7.50225 2.7213 5.3212 4.18366 2.95987 1.87165 0.56896

c'=

Wn (kN/m) 118.714 250.158 327.278 389.085 424.08 450.673 137.369 120.036 43.5408 85.1392 66.9386 47.358 29.9464 9.10329

c'bn (kN/m) 55.8672 55.8672 55.8672 55.8672 55.8672 55.8672 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

24 kN/m²

Wntanø (kN/m) 57.9007 122.01 159.624 189.77 206.838 219.808 66.9995 58.5455 21.2363 41.5252 32.6481 23.098 14.6058 4.43997

Trial Fs Calc Fs 1 2.00455 1.5 2.13206 2 2.20835 2.5 2.25934 Fs= 2.15107

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

αn (deg) 64 49 38 28 19 11 5 3 0 2 -5 -8 -10 -13

ø'=

Wnsinαn (kN/m) 106.7 188.797 201.492 182.664 138.067 85.9925 11.9725 6.2822 0 2.97132 -5.8341 -6.591 -5.2001 -2.0478 905.266

26

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.87674 0.73062 0.65756 0.61372 1.02416 0.90146 0.84011 0.8033 1.08829 0.9882 0.93815 0.90812 1.11192 1.0356 0.99744 0.97454 1.10431 1.05138 1.02491 1.00903 1.07469 1.04367 1.02816 1.01885 1.0387 1.02453 1.01745 1.0132 1.02416 1.01565 1.01139 1.00884 1 1 1 1 1.01641 1.01074 1.0079 1.0062 0.95369 0.96786 0.97494 0.97919 0.92239 0.94502 0.95633 0.96312 0.90011 0.92835 0.94246 0.95093 0.86465 0.90123 0.91951 0.93048 14 13.5443 13.3163 13.1795

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 129.762 155.715 173.016 185.374 2 173.682 197.322 211.732 221.434 3 198.009 218.065 229.698 237.293 4 220.911 237.193 246.268 252.055 5 237.891 249.867 256.319 260.353 6 256.516 264.14 268.125 270.574 7 81.6382 82.7673 83.3436 83.6933 8 74.5432 75.1677 75.4839 75.6749 9 39.0347 39.0347 39.0347 39.0347 10 58.3657 58.6933 58.8585 58.9581 11 52.8964 52.122 51.7432 51.5186 12 44.3375 43.2759 42.764 42.4626 13 36 34.9054 34.3826 34.0764 14 25.7194 24.6757 24.185 23.8998 Sum= 1629.31 1732.94 1795 1836.4 Fs= 2.00455 2.13206 2.20835 2.25934

2.6

pi=

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

3.14159

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice

bn (m) 0.3816 0.3816 0.3816 0.3816 0.3816 0.3816 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416

1 2 3 4 5 6 7 8 9 10 11 12 13 14

hnavg (m) 2.195 3.773 4.8335 5.6743 6.3829 6.6999 7.0417 6.4283 5.676 4.8156 3.8661 2.8408 1.6881 0.5678

An (m²) 0.83761 1.43978 1.84446 2.16531 2.43571 2.55668 5.22212 4.76723 4.20932 3.57125 2.8671 2.10674 1.25189 0.42108

TRIAL 16 c'=

Wn (kN/m) 13.4018 23.0364 29.5114 34.645 38.9714 40.9069 83.554 76.2756 67.3491 57.14 45.8736 33.7078 20.0303 6.73729

c'bn (kN/m) 9.1584 9.1584 9.1584 9.1584 9.1584 9.1584 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

24 kN/m²

Wntanø (kN/m) 6.53649 11.2356 14.3937 16.8975 19.0076 19.9516 40.752 37.2021 32.8484 27.869 22.374 16.4404 9.76944 3.28599

Trial Fs Calc Fs 1 1.15434 1.5 1.32489 2 1.43549 2.5 1.51377 Fs= 1.35712

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1.4 1.2

Calc Fs

1 0.8 0.6 0.4 0.2 0 1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

Wnsinαn (kN/m) 13.1982 22.0298 27.3625 31.1387 33.7503 34.3074 65.8414 55.7845 45.0654 35.1789 25.6522 16.8539 8.78071 2.63247 417.576

Calculate

1.6

0.8

αn (deg) 80 73 68 64 60 57 52 47 42 38 34 30 26 23

2.6

1 23.9994 26.8769 28.485 29.719 30.536 30.5237 58.5504 52.9511 47.3555 41.9626 36.4616 30.8488 24.7778 18.9765 482.024 1.15434

0.4 0.2 0 0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice

bn (m) 0.9974 0.9974 0.9974 0.9974 0.9974 0.9974 0.9974 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416

1 2 3 4 5 6 7 8 9 10 11 12 13 14

hnavg (m) 2.7139 5.1385 6.71 7.9007 8.8483 9.6185 9.4305 8.3442 7.1982 6.0029 4.7461 3.4465 2.0552 0.7112

An (m²) 2.70684 5.12514 6.69255 7.88016 8.82529 9.59349 9.40598 6.18806 5.33819 4.45175 3.51971 2.55592 1.52414 0.52743

TRIAL 19 c'=

Wn (kN/m) 43.3095 82.0022 107.081 126.083 141.205 153.496 150.496 99.0089 85.411 71.228 56.3153 40.8948 24.3862 8.43881

c'bn (kN/m) 23.9376 23.9376 23.9376 23.9376 23.9376 23.9376 23.9376 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

24 kN/m²

Wntanø (kN/m) 21.1235 39.9952 52.2268 61.4946 68.8701 74.8649 73.4017 48.2899 41.6577 34.7402 27.4668 19.9457 11.8939 4.11588

Trial Fs Calc Fs 1 2.01055 1.5 2.22648 2 2.35979 2.5 2.45098 Fs= 2.26195

2.5

Calc Fs

2 1.5 1 0.5 0 1

1.2

1.4

1.6

1.8

2

2.2

2.4

Wnsinαn (kN/m) 41.4171 72.4037 86.6302 92.2109 92.6386 88.0416 75.2478 44.9491 33.3727 24.3614 15.5226 9.19933 3.81484 0.8821 680.692

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1 59.3852 71.0274 77.5314 82.2488 86.3576 89.9101 87.7016 59.4088 53.5121 47.4815 41.3117 34.8165 27.9067 20.9605 839.56 2.01055

Calculate

3

0.8

αn (deg) 73 62 54 47 41 35 30 27 23 20 16 13 9 6

2.6

Calc F

1.5 1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.65397 0.49386 0.41381 0.36578 0.75879 0.60332 0.52558 0.47894 0.82682 0.67609 0.60072 0.55549 0.87674 0.73062 0.65756 0.61372 0.92239 0.78159 0.71119 0.66896 0.95369 0.81734 0.74916 0.70826 1 0.87189 0.80783 0.7694 1.0387 0.9198 0.86035 0.82468 1.0695 0.96072 0.90632 0.87369 1.08829 0.9882 0.93815 0.90812 1.10177 1.01086 0.96541 0.93813 1.10989 1.0286 0.98796 0.96357 1.1126 1.04133 1.0057 0.98432 1.11108 1.04755 1.01579 0.99673 13.6242 11.9718 11.1455 10.6498 Calculated Fs 1.5 2 2.5 31.7798 37.9278 42.9083 33.803 38.8027 42.5816 34.836 39.2067 42.3985 35.6628 39.6253 42.4557 36.0367 39.6039 42.1045 35.6157 38.8568 41.1009 67.1537 72.4786 76.0991 59.7961 63.928 66.6931 52.7177 55.8816 57.969 46.2129 48.6782 50.2878 39.7408 41.612 42.8217 33.2867 34.6561 35.5332 26.4736 27.4116 28.0071 20.1273 20.7566 21.1535 553.243 599.426 632.114 1.32489 1.43549 1.51377

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.75879 0.60332 0.52558 0.47894 0.90011 0.75657 0.68479 0.64173 0.98237 0.85084 0.78508 0.74562 1.0387 0.9198 0.86035 0.82468 1.07469 0.96803 0.9147 0.8827 1.0989 1.00565 0.95903 0.93105 1.10989 1.0286 0.98796 0.96357 1.11243 1.03862 1.00172 0.97958 1.11108 1.04755 1.01579 0.99673 1.10651 1.0509 1.0231 1.00642 1.0957 1.05089 1.02848 1.01504 1.08409 1.04751 1.02923 1.01826 1.06399 1.03855 1.02584 1.01821 1.0455 1.02851 1.02001 1.01491 14.5828 13.4354 12.8617 12.5174 Calculated Fs 1.5 2 2.5 74.6886 85.7355 94.0849 84.5038 93.3608 99.6259 89.5166 97.0152 102.149 92.8811 99.2992 103.594 95.8727 101.462 105.14 98.2471 103.024 106.119 94.6325 98.5256 101.019 63.6306 65.9748 67.4662 56.7571 58.5318 59.6509 49.9938 51.3524 52.2036 43.0734 44.0117 44.5947 36.0321 36.6723 37.0674 28.5901 28.9445 29.1614 21.3068 21.4843 21.5922 929.726 985.394 1023.47 2.22648 2.35979 2.45098

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice

bn (m) 0.9945 0.9945 0.9945 0.9945 0.9945 0.9945 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416

1 2 3 4 5 6 7 8 9 10 11 12 13 14

hnavg (m) 2.4152 4.8248 6.4183 7.6334 8.6074 9.4051 9.2426 8.1793 7.0853 5.8799 4.6528 3.3433 2.0595 0.6971

An (m²) 2.40192 4.79826 6.383 7.59142 8.56006 9.35337 6.85431 6.06577 5.25446 4.36053 3.45052 2.47939 1.52733 0.51697

c'=

Wn (kN/m) 38.4307 76.7722 102.128 121.463 136.961 149.654 109.669 97.0523 84.0713 69.7685 55.2083 39.6703 24.4372 8.27151

c'bn (kN/m) 23.868 23.868 23.868 23.868 23.868 23.868 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

Trial Fs Calc Fs 1 1.91203 1.5 2.11799 2 2.2452 2.5 2.33224 Fs= 2.15186

2.5 2

Calc Fs

1.5 1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

0.5 0 0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn (m) 0.9345 0.9345 0.9345 0.9345 0.9345 0.9345 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416

hnavg (m) 2.0814 4.4058 5.9471 7.1331 8.1826 9.0505 8.8787 7.8686 6.7738 5.6455 4.5465 3.293 1.989 0.6734

An (m²) 1.94507 4.11722 5.55756 6.66588 7.64664 8.45769 6.58444 5.83535 5.02345 4.1867 3.37168 2.44209 1.47504 0.49939

Wn (kN/m) 31.1211 65.8755 88.921 106.654 122.346 135.323 105.351 93.3657 80.3752 66.9872 53.947 39.0734 23.6007 7.9903

Trial Fs 1 1.5 2 2.5 Fs=

2.5 2

Calc FS

1.5 1 0.5

Calc FS

1.5 1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

2.4

TRIAL 17 24 kN/m²

Wntanø (kN/m) 18.7439 37.4443 49.8111 59.2413 66.8003 72.9911 53.4891 47.3356 41.0043 34.0284 26.9269 19.3485 11.9188 4.03428

αn (deg) 73 62 54 47 41 36 32 23 24 21 13 14 11 8

ø'=

Wnsinαn (kN/m) 36.7514 67.7858 82.6233 88.8322 89.8545 87.9644 58.1157 37.9214 34.1949 25.0028 12.4192 9.5971 4.66284 1.15117 636.877

26

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.75879 0.60332 0.52558 0.47894 0.90011 0.75657 0.68479 0.64173 0.98237 0.85084 0.78508 0.74562 1.0387 0.9198 0.86035 0.82468 1.07469 0.96803 0.9147 0.8827 1.0957 1.00014 0.95236 0.92369 1.10651 1.02035 0.97728 0.95143 1.11108 1.04755 1.01579 0.99673 1.11192 1.0458 1.01273 0.9929 1.10837 1.05011 1.02097 1.0035 1.08409 1.04751 1.02923 1.01826 1.08829 1.04896 1.02929 1.01749 1.07469 1.04367 1.02816 1.01885 1.05815 1.03552 1.02421 1.01742 14.5935 13.4382 12.8605 12.5139

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 56.1575 70.6291 81.0756 88.9712 2 68.1162 81.0402 89.5341 95.5425 3 75.0015 86.5957 93.8496 98.8161 4 80.0125 90.3557 96.5993 100.778 5 84.3669 93.6627 99.1235 102.717 6 88.3994 96.8457 101.705 104.861 7 64.4257 69.8655 72.945 74.9266 8 58.6224 62.1773 64.1214 65.3474 9 52.8838 56.2276 58.0633 59.2234 10 46.7595 49.3539 50.7621 51.6463 11 41.2562 42.6966 43.4552 43.9234 12 34.1333 35.4131 36.0897 36.5082 13 27.6519 28.4738 28.9033 29.1673 14 20.6329 21.0838 21.3167 21.4589 Sum= 798.42 884.421 937.543 973.887 Fs= 1.91203 2.11799 2.2452 2.33224

2.6

pi= 3.14159

2.4

2.6

TRIAL 20 c'=

c'bn (kN/m) 22.428 22.428 22.428 22.428 22.428 22.428 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

Calc Fs 1.21589 1.80566 2.20515 1.26541 1.62303

24 kN/m²

Wntanø (kN/m) 15.1788 32.1296 43.3697 52.0187 59.6722 66.0015 51.3832 45.5375 39.2016 32.6719 26.3117 19.0574 11.5108 3.89713

αn (deg) 73 63 56 49 44 39 35 31 28 24 11 18 15 11

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

ø'=

Wnsinαn (kN/m) 29.7612 58.6955 73.7189 80.4929 84.9888 85.1616 60.4269 48.0869 37.7339 27.2462 10.2936 12.0744 6.10831 1.52462 616.314

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.75879 0.60332 0.52558 0.47894 0.88856 0.74371 0.67128 0.62782 0.96354 0.82876 0.76137 0.72093 1.02416 0.90146 0.84011 0.8033 1.05815 0.94521 0.88874 0.85486 1.08409 0.98177 0.93062 0.89992 1.0989 1.00565 0.95903 0.93105 1.10837 1.02463 0.98277 0.95765 1.11192 1.0356 0.99744 0.97454 1.11192 1.0458 1.01273 0.9929 1.07469 1.04367 1.02816 1.01885 1.10177 1.05153 1.02642 1.01134 1.09216 1.05008 1.02904 1.01642 1.07469 1.04367 1.02816 1.01885 14.5517 13.3049 12.6814 12.3074

Calculated Fs 1 1.5 2 2.5 49.5613 146.156 195.519 63.7241 61.3998 127.913 181.29 94.9064 68.2873 119.902 170.376 103.591 72.6908 112.062 154.139 101.478 77.5887 109.682 145.136 100.656 81.5705 106.951 133.419 95.8368 62.9551 85.8976 99.5038 66.082 57.1434 74.6973 80.4736 51.3709 51.2625 64.8916 65.9029 39.8607 45.39 54.1901 50.6018 28.561 41.0444 35.7505 20.7104 11.1579 33.4513 35.2412 29.3004 13.0283 26.836 25.2464 20.5126 7.08415 20.1877 14.2738 12.1816 2.55121 749.369 1112.85 1359.06 779.889 1.21589 1.80566 2.20515 1.26541

2.2

2.4

2.6

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn (m) 0.9565 0.9565 0.9565 0.9565 0.9565 0.9565 0.9565 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416 0.7416

hnavg (m) 1.7892 4.136 5.7644 7.0348 8.0712 9.0138 8.8141 7.8014 6.7311 5.6086 4.4377 3.2218 1.9634 0.6643

3.5 3

Calc Fs

2.5 2 1.5 1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

Cal

1.5 1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

TRIAL 18

BORROMEO kN/m^3

l Fs

An (m²) 4.37 10.34 12.87 14.68 15.83 16.58 5.36 4.81 4.03 3.34 2.63 1.91 1.17 0.42

c'=

Wn (kN/m) 69.92 165.44 205.92 234.88 253.28 265.28 85.76 76.96 64.48 53.44 42.08 30.56 18.72 6.72

c'bn (kN/m) 22.956 22.956 22.956 22.956 22.956 22.956 22.956 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984 17.7984

Trial Fs Calc Fs 1 2.45771 1.5 2.76228 2 2.95158 2.5 3.08133 Fs= 2.81322

1.8

2

2.2

2.4

2.6

24 kN/m²

Wntanø (kN/m) 34.1023 80.6905 100.434 114.559 123.533 129.386 41.8279 37.5359 31.449 26.0644 20.5238 14.9051 9.13035 3.27756

αn (deg) 72 62 55 49 43 33 34 31 28 25 22 19 16 13

ø'=

Wnsinαn (kN/m) 66.4979 146.075 168.68 177.266 172.737 144.482 47.9564 39.6373 30.2715 22.5847 15.7634 9.94936 5.15993 1.51167 1048.57

26

pi=

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.77288 0.61826 0.54095 0.49456 0.90011 0.75657 0.68479 0.64173 0.9731 0.83993 0.77334 0.73339 1.02416 0.90146 0.84011 0.8033 1.06399 0.95311 0.89767 0.86441 1.10431 1.01576 0.97149 0.94493 1.10177 1.01086 0.96541 0.93813 1.10837 1.02463 0.98277 0.95765 1.11192 1.0356 0.99744 0.97454 1.11243 1.04372 1.00937 0.98876 1.10989 1.04899 1.01854 1.00027 1.10431 1.05138 1.02491 1.00903 1.0957 1.05089 1.02848 1.01504 1.08409 1.04751 1.02923 1.01826 14.667 13.3987 12.7645 12.384

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 73.8257 92.2888 105.478 115.371 2 115.148 137 151.355 161.511 3 126.8 146.905 159.555 168.247 4 134.271 152.547 163.687 171.188 5 137.679 153.696 163.188 169.468 6 137.952 149.978 156.812 161.221 7 58.7997 64.0878 67.1054 69.0563 8 49.9241 54.0039 56.3046 57.7815 9 44.2902 47.5545 49.374 50.5341 10 39.4297 42.0253 43.4556 44.3616 11 34.5279 36.5325 37.6247 38.312 12 29.6145 31.1054 31.9085 32.4107 13 24.5768 25.6248 26.1831 26.5298 14 19.4412 20.12 20.4774 20.6981 Sum= 1026.28 1153.46 1232.51 1286.69 Fs= 2.45771 2.76228 2.95158 3.08133

l Fs

1.8

2

2.2

2.4

2.6

3.14159

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn (m) 0.82016 0.82016 0.82016 0.82016 0.82016 0.82016 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164

hnavg (m) 2.62904 6.04097 7.38892 8.3966 9.19755 9.84982 9.62027 8.57184 7.41712 6.16294 4.88578 3.55331 2.16793 0.73112

An (m²) 2.15623 4.95454 6.06007 6.88653 7.54344 8.0784 7.13478 6.35722 5.50083 4.57068 3.62349 2.63528 1.60782 0.54223

TRIAL 21 c'=

Wn (kN/m) 34.4996 79.2726 96.9611 110.184 120.695 129.254 114.156 101.716 88.0133 73.1309 57.9758 42.1644 25.7251 8.67565

c'bn (kN/m) 19.6838 19.6838 19.6838 19.6838 19.6838 19.6838 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994

Calc Fs

Trial Fs Calc Fs 1 1.33507 1.5 1.45598 2 1.52852 2.5 1.5771 Fs= 1.47417

1.6 1.55 1.5 1.45 1.4 1.35 1.3 1.25 1.2 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

24 kN/m²

Wntanø (kN/m) 16.8266 38.6639 47.2911 53.7405 58.8669 63.0416 55.6778 49.61 42.9269 35.6683 28.2767 20.565 12.547 4.2314

αn (deg) 67 58 50 44 38 33 28 24 20 16 12 8 5 2

Wnsinαn (kN/m) 31.7571 67.227 74.2765 76.5405 74.3072 70.397 53.5932 41.3714 30.1023 20.1576 12.0538 5.86816 2.24209 0.30278 560.197

Calculate Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1 43.4807 61.8391 65.8934 69.3895 72.1781 74.9114 66.0811 60.624 54.8811 48.7978 42.6807 36.2561 29.2156 21.675 747.904 1.33507

1.3 1.25 1.2 0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn (m) 1.6212 1.6212 1.6212 1.6212 1.6212 1.6212 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164

hnavg (m) 1.75413 4.48086 6.16818 7.44759 8.47216 9.3112 9.17344 8.11003 6.99025 5.81917 4.60055 3.33708 2.03091 0.6837

An (m²) 2.8438 7.26437 9.99985 12.074 13.7351 15.0953 6.80339 6.01472 5.18425 4.31573 3.41195 2.47491 1.5062 0.50706

TRIAL 24 c'=

Wn (kN/m) 45.5007 116.23 160 193.184 219.761 241.525 108.854 96.2356 82.9479 69.0516 54.5912 39.5985 24.0993 8.11289

c'bn (kN/m) 38.9088 38.9088 38.9088 38.9088 38.9088 38.9088 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994

Trial Fs Calc Fs 1 1.88055 1.5 2.10035 2 2.23639 2.5 2.32946 Fs= 2.13669

2.5 2

Calc Fs

1.5 1 0.5

24 kN/m²

Wntanø (kN/m) 22.1922 56.6891 78.0361 94.2223 107.185 117.8 53.0918 46.9372 40.4564 33.6787 26.6259 19.3135 11.754 3.95692

αn (deg) 72 62 53 47 41 36 31 28 25 21 18 15 12 9

Wnsinαn (kN/m) 43.2738 102.625 127.78 141.286 144.176 141.965 56.0641 45.1799 35.0553 24.7459 16.8696 10.2489 5.01052 1.26914 895.549

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

1 79.0564 106.206 117.967 128.17 135.94 143.021 63.9599 58.2203 52.3679 46.4449 40.3216 33.9811 27.3756 20.4479 1053.48 1.88055

Calculate

2

Calc Fs

1.5 1 0.5 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.83969 0.69004 0.61521 0.57032 0.94354 0.80567 0.73673 0.69537 1.01641 0.89187 0.8296 0.79224 1.05815 0.94521 0.88874 0.85486 1.08829 0.9882 0.93815 0.90812 1.10431 1.01576 0.97149 0.94493 1.11192 1.0356 0.99744 0.97454 1.11192 1.0458 1.01273 0.9929 1.10651 1.0509 1.0231 1.00642 1.0957 1.05089 1.02848 1.01504 1.07955 1.04575 1.02885 1.01871 1.05815 1.03552 1.02421 1.01742 1.0387 1.02453 1.01745 1.0132 1.01641 1.01074 1.0079 1.0062 14.6693 13.6365 13.1201 12.8102 Calculated Fs 1.5 2 2.5 52.9107 59.346 64.0179 72.4216 79.1982 83.909 75.0948 80.7315 84.5389 77.6803 82.6159 85.8902 79.4889 83.7293 86.4979 81.4416 85.1531 87.5469 70.9514 73.6661 75.3969 64.4573 66.5617 67.8916 57.7849 59.3552 60.339 50.8787 51.9871 52.6756 44.0602 44.784 45.2298 37.0483 37.4576 37.7075 29.6197 29.8259 29.951 21.7967 21.858 21.895 815.635 856.27 883.487 1.45598 1.52852 1.5771

ø'=

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.77288 0.61826 0.54095 0.49456 0.90011 0.75657 0.68479 0.64173 0.99134 0.8615 0.79658 0.75762 1.0387 0.9198 0.86035 0.82468 1.07469 0.96803 0.9147 0.8827 1.0957 1.00014 0.95236 0.92369 1.10837 1.02463 0.98277 0.95765 1.11192 1.0356 0.99744 0.97454 1.11243 1.04372 1.00937 0.98876 1.10837 1.05011 1.02097 1.0035 1.10177 1.05153 1.02642 1.01134 1.09216 1.05008 1.02904 1.01642 1.07955 1.04575 1.02885 1.01871 1.06399 1.03855 1.02584 1.01821 14.652 13.4643 12.8704 12.5141 Calculated Fs 1.5 2 2.5 98.8277 112.952 123.546 126.358 139.601 148.969 135.746 146.81 154.358 144.739 154.741 161.434 150.918 159.717 165.507 156.687 164.548 169.655 69.1867 72.1342 74.0263 62.5113 64.903 66.428 55.8153 57.715 58.9182 49.0218 50.4206 51.2988 42.248 43.282 43.927 35.3428 36.0654 36.5133 28.2604 28.7246 29.0106 20.9486 21.2083 21.3672 1176.61 1252.82 1305 2.10035 2.23639 2.32946

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn (m) 0.82016 0.82016 0.82016 0.82016 0.82016 0.82016 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164

hnavg (m) 2.62904 6.04097 7.38892 8.3966 9.19755 9.84982 9.62027 8.57184 7.41712 6.16294 4.88578 3.55331 2.16793 0.73112

An (m²) 2.15623 4.95454 6.06007 6.88653 7.54344 8.0784 7.13478 6.35722 5.50083 4.57068 3.62349 2.63528 1.60782 0.54223

c'=

Wn (kN/m) 34.4996 79.2726 96.9611 110.184 120.695 129.254 114.156 101.716 88.0133 73.1309 57.9758 42.1644 25.7251 8.67565

c'bn (kN/m) 19.6838 19.6838 19.6838 19.6838 19.6838 19.6838 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994

Calc Fs

Trial Fs Calc Fs 1 1.33507 1.5 1.45598 2 1.52852 2.5 1.5771 Fs= 1.47417

1.6 1.55 1.5 1.45 1.4 1.35 1.3 1.25 1.2 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6

Trial Fs

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16 kN/m^3

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn (m) 1.43831 1.43831 1.43831 1.43831 1.43831 1.43831 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164

hnavg (m) 1.75413 4.48086 6.16818 7.44759 8.47216 9.3112 9.17344 8.11003 6.99025 5.81917 4.60055 3.33708 2.03091 0.6837

An (m²) 2.52298 6.44487 8.87175 10.7119 12.1856 13.3924 6.80339 6.01472 5.18425 4.31573 3.41195 2.47491 1.5062 0.50706

Wn (kN/m) 40.3677 103.118 141.948 171.391 194.969 214.278 108.854 96.2356 82.9479 69.0516 54.5912 39.5985 24.0993 8.11289

Trial Fs 1 1.5 2 2.5 Fs=

2 1.8 1.6 1.4 1.2 c Fs

Ca

1.35 1.3 1.25 1.2

1

2 1.8 1.6 1.4 Calc Fs

1.2 1 0.8 0.6 0.4 0.2 0 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

TRIAL 22 24 kN/m²

Wntanø (kN/m) 16.8266 38.6639 47.2911 53.7405 58.8669 63.0416 55.6778 49.61 42.9269 35.6683 28.2767 20.565 12.547 4.2314

αn (deg) 67 58 50 44 38 33 28 24 20 16 12 8 5 2

ø'=

Wnsinαn (kN/m) 31.7571 67.227 74.2765 76.5405 74.3072 70.397 53.5932 41.3714 30.1023 20.1576 12.0538 5.86816 2.24209 0.30278 560.197

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.83969 0.69004 0.61521 0.57032 0.94354 0.80567 0.73673 0.69537 1.01641 0.89187 0.8296 0.79224 1.05815 0.94521 0.88874 0.85486 1.08829 0.9882 0.93815 0.90812 1.10431 1.01576 0.97149 0.94493 1.11192 1.0356 0.99744 0.97454 1.11192 1.0458 1.01273 0.9929 1.10651 1.0509 1.0231 1.00642 1.0957 1.05089 1.02848 1.01504 1.07955 1.04575 1.02885 1.01871 1.05815 1.03552 1.02421 1.01742 1.0387 1.02453 1.01745 1.0132 1.01641 1.01074 1.0079 1.0062 14.6693 13.6365 13.1201 12.8102

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 43.4807 52.9107 59.346 64.0179 2 61.8391 72.4216 79.1982 83.909 3 65.8934 75.0948 80.7315 84.5389 4 69.3895 77.6803 82.6159 85.8902 5 72.1781 79.4889 83.7293 86.4979 6 74.9114 81.4416 85.1531 87.5469 7 66.0811 70.9514 73.6661 75.3969 8 60.624 64.4573 66.5617 67.8916 9 54.8811 57.7849 59.3552 60.339 10 48.7978 50.8787 51.9871 52.6756 11 42.6807 44.0602 44.784 45.2298 12 36.2561 37.0483 37.4576 37.7075 13 29.2156 29.6197 29.8259 29.951 14 21.675 21.7967 21.858 21.895 Sum= 747.904 815.635 856.27 883.487 Fs= 1.33507 1.45598 1.52852 1.5771

TRIAL 25 c'=

c'bn (kN/m) 34.5194 34.5194 34.5194 34.5194 34.5194 34.5194 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994

Calc Fs 1.33134 1.55881 1.77023 1.17613 1.45913

24 kN/m²

Wntanø (kN/m) 19.6887 50.2939 69.2327 83.593 95.0929 104.51 53.0918 46.9372 40.4564 33.6787 26.6259 19.3135 11.754 3.95692

αn (deg) 66 56 48 41 35 29 25 22 20 17 15 12 9 7

Slice/Fs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Sum= Fs=

ø'=

Wnsinαn (kN/m) 36.8778 85.4886 105.488 112.443 111.83 103.884 46.0038 36.0505 28.3699 20.1887 14.1292 8.233 3.76996 0.98871 713.745

26

pi= 3.14159

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.8523 0.70378 0.62952 0.58496 0.96354 0.82876 0.76137 0.72093 1.03159 0.91077 0.85036 0.81411 1.07469 0.96803 0.9147 0.8827 1.0989 1.00565 0.95903 0.93105 1.11108 1.03226 0.99285 0.9692 1.11243 1.04372 1.00937 0.98876 1.10989 1.04899 1.01854 1.00027 1.10651 1.0509 1.0231 1.00642 1.0989 1.05137 1.0276 1.01334 1.09216 1.05008 1.02904 1.01642 1.07955 1.04575 1.02885 1.01871 1.06399 1.03855 1.02584 1.01821 1.05199 1.03217 1.02227 1.01632 14.8475 13.8108 13.2924 12.9814

Calculated Fs 1 1.5 2 2.5 63.6019 121.755 163.423 64.4999 88.0225 128.257 185.835 119.917 100.575 128.719 180.498 130.841 109.904 128.708 167.752 128.602 117.947 129.362 153.103 121.291 125.131 129.338 133.841 108.332 63.7262 74.8203 70.3447 47.6519 58.3269 65.7178 56.9939 37.1505 52.6484 57.5281 47.2778 29.2884 46.8449 48.2025 36.1897 21.0073 40.6765 39.6406 28.3071 14.9755 34.378 29.9435 19.6656 9.14152 27.7761 19.9836 12.4483 4.7475 20.6812 10.6154 7.81471 2.00793 950.239 1112.59 1263.49 839.454 1.33134 1.55881 1.77023 1.17613

2

2.2

2.4

2.6

SLOPE STABILITY ANALYSIS BY: KAMILLE BORROMEO ɣ= 16

Slice 1 2 3 4 5 6 7 8 9 10 11 12 13 14

bn (m) 0.68896 0.68896 0.68896 0.68896 0.68896 0.68896 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164 0.74164

1

1.2

hnavg (m) 2.00952 4.80928 6.17652 6.71454 7.5004 8.70892 8.64747 7.71292 6.6962 5.54217 4.39052 3.24691 1.98352 0.66941

1.35 1.3

Calc Fs

1.25 1.2 1.15 1.1 1.05 1 0.8

1.4

1.6 Trial Fs

1.8

2

Calc Fs

1.15 1.1 1.05 1 0.8

1

1.2

1.4

1.6 Trial Fs

1.8

2

TRIAL 23

BORROMEO kN/m^3

An (m²) 1.38448 3.31341 4.25539 4.62606 5.16749 6.00012 6.41331 5.72021 4.96617 4.11029 3.25619 2.40803 1.47105 0.49646

c'=

Wn (kN/m) 22.1517 53.0146 68.0862 74.017 82.6799 96.0019 102.613 91.5233 79.4587 65.7647 52.099 38.5286 23.5369 7.94338

c'bn (kN/m) 16.5351 16.5351 16.5351 16.5351 16.5351 16.5351 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994 17.7994

Trial Fs Calc Fs 1 1.10749 1.5 1.19966 2 1.25429 2.5 1.2906 Fs= 1.21301

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

24 kN/m²

Wntanø (kN/m) 10.8041 25.857 33.2079 36.1005 40.3257 46.8232 50.0477 44.6389 38.7546 32.0756 25.4104 18.7916 11.4797 3.87425

αn (deg) 68 50 48 45 39 33 28 24 20 16 13 9 5 2

ø'=

Wnsinαn (kN/m) 20.5387 40.6116 50.5979 52.3379 52.0321 52.2864 48.1738 37.2259 27.1765 18.1272 11.7197 6.02719 2.05137 0.27722 419.184

26

pi=

Values of mα(n) Trial Fs 1 1.5 2 2.5 0.82682 0.67609 0.60072 0.55549 1.01641 0.89187 0.8296 0.79224 1.03159 0.91077 0.85036 0.81411 1.05199 0.93703 0.87955 0.84506 1.08409 0.98177 0.93062 0.89992 1.10431 1.01576 0.97149 0.94493 1.11192 1.0356 0.99744 0.97454 1.11192 1.0458 1.01273 0.9929 1.10651 1.0509 1.0231 1.00642 1.0957 1.05089 1.02848 1.01504 1.08409 1.04751 1.02923 1.01826 1.06399 1.03855 1.02584 1.01821 1.0387 1.02453 1.01745 1.0132 1.01641 1.01074 1.0079 1.0062 14.7444 13.7178 13.2045 12.8965

Calculated Fs Slice/Fs 1 1.5 2 2.5 1 33.0653 40.4375 45.5111 49.216 2 41.7075 47.5316 51.0994 53.5093 3 48.2199 54.6165 58.4965 61.1008 4 50.0345 56.173 59.8441 62.2864 5 52.4504 57.9164 61.1001 63.1841 6 57.3738 62.3751 65.2177 67.0511 7 61.0177 65.5148 68.0214 69.6197 8 56.1533 59.7039 61.6531 62.8849 9 51.1104 53.8147 55.2771 56.1933 10 45.5188 47.4599 48.4938 49.1361 11 39.8582 41.2498 41.9827 42.435 12 34.3905 35.2326 35.6694 35.9367 13 28.1881 28.5779 28.7769 28.8977 14 21.3236 21.4433 21.5037 21.5401 Sum= 620.412 672.047 702.647 722.991 Fs= 1.10749 1.19966 1.25429 1.2906

1.6 Trial Fs

1.8

2

2.2

2.4

2.6

3.14159