Mektan 2 Perhitungan Safety Factor

Slice Wn u a c1 2 3 4 5

1 73 2.08 0 0.83 1.62 66 3.12 1.2 1.256 1.63 61 3.92 2 1.256 1.64 56 4.56 2.7 1.04 1.65 52 5.04 3.1 0.83 1.636 48 5.61 3.5 1.04 1.637 45 6.02 3.8 1.04 1.638 41 6.43 4.2 0.83 1.639 38 5.72 4.3 0.83 1.63

10 35 4.36 4.4 1.674 1.63

Slice Sin Wn Cos Wn Sin u*a Tan 9 10 11 12 13

1 0.956 0.608 1.989 0 0.5542 0.914 1.269 2.850 1.5072 0.5543 0.875 1.900 3.429 2.512 0.5544 0.829 2.550 3.780 2.808 0.5545 0.788 3.103 3.972 2.573 0.4666 0.743 3.754 4.169 3.64 0.4667 0.707 4.257 4.257 3.952 0.4668 0.656 4.853 4.218 3.486 0.4669 0.616 4.507 3.522 3.569 0.466

10 0.574 3.572 2.501 7.3656 0.46634.687

c.a6 7 = 5.4 8 = Cos(1)

29 1.328 0.29229 2.0096 0.40729 2.0096 0.48529 1.664 0.55925 1.3529 0.61625 1.6952 0.66925 1.6952 0.70725 1.3529 0.75525 1.3529 0.78825 2.72862 0.819

Wn Cos - u*a (Wn Cos - u*a) Tan c*a + (Wn Cos - u*a) Tan 14 15= 14*13 16 = 7 + 15

0.608 0.3370937072 1.665-0.238 -0.1320262576 1.878-0.612 -0.3389856432 1.671-0.258 -0.1430562796 1.5210.530 0.2471122059 1.6000.114 0.0530763975 1.7480.305 0.1421225643 1.8371.367 0.6373411938 1.9900.938 0.437593137 1.790-3.794 -1.7692165274 0.959

16.660

Cos

Slice Wn u a c1 2 3 4 5

1 53 6.4 1.5 1.57 1.62 47 8.32 2.6 1.31 1.63 41 9.92 3.3 1.04 1.634 36 11.23 3.9 1.31 1.635 31 12.37 4.5 1.04 1.636 27 13.35 4.7 1.04 1.637 23 14.16 5 1.04 1.638 19 14.81 5.2 1.04 1.639 14 15.3 5.1 1.31 1.63

10 11 10.03 4.9 1.04 1.63

Slice Sin Wn Cos Wn Sin u*a Tan 9 10 11 12 13

1 0.799 3.852 5.111 2.355 0.5542 0.731 5.674 6.085 3.406 0.5543 0.656 7.487 6.508 3.432 0.4664 0.588 9.085 6.601 5.109 0.4665 0.515 10.603 6.371 4.68 0.4666 0.454 11.895 6.061 4.888 0.4667 0.391 13.034 5.533 5.2 0.4668 0.326 14.003 4.822 5.408 0.4669 0.242 14.846 3.701 6.681 0.466

10 0.191 9.846 1.914 5.096 0.46652.706

c.a6 7 = 5.4 8 = Cos(1)

29 2.512 0.60229 2.096 0.68225 1.6952 0.75525 2.1353 0.80925 1.6952 0.85725 1.6952 0.89125 1.6952 0.92125 1.6952 0.94625 2.1353 0.97025 1.6952 0.982

Wn Cos - u*a (Wn Cos - u*a) Tan c*a + (Wn Cos - u*a) Tan 14 15= 14*13 16 = 7 + 15

1.497 0.8295878775 3.3422.268 1.2572983997 3.3534.055 1.8907465381 3.5863.976 1.8541608837 3.9895.923 2.7620146398 4.4577.007 3.267388429 4.9637.834 3.6532168071 5.3488.595 4.0079749906 5.7038.165 3.8071803518 5.9424.750 2.2148311132 3.910

44.594

Cos

Slice Wn u b1 2 3 4

1 73 2.08 0 0.52 66 3.12 1.2 0.53 61 3.92 2 0.54 56 4.56 2.7 0.55 52 5.04 3.1 0.56 48 5.61 3.5 0.57 45 6.02 3.8 0.58 41 6.43 4.2 0.59 38 5.72 4.3 0.5

10 35 4.36 4.4 0.5

Slice Cos Sin Tan FS8 = Cos(1) 9=sin(1) 7=tan(1)

1 0.292 0.956 0.554 1.52 0.407 0.914 0.554 1.53 0.485 0.875 0.554 1.54 0.559 0.829 0.554 1.55 0.616 0.788 0.466 1.56 0.669 0.743 0.466 1.57 0.707 0.707 0.466 1.58 0.755 0.656 0.466 1.59 0.788 0.616 0.466 1.5

10 0.819 0.574 0.466 1.5

c Tan 5 6 7=tan(1)

1.6 29 0.5541.6 29 0.5541.6 29 0.5541.6 29 0.554

1.63 25 0.4661.63 25 0.4661.63 25 0.4661.63 25 0.4661.63 25 0.4661.63 25 0.466

13 140.6458 1.548550.7443 1.343490.8080 1.23760.8656 1.155330.8606 1.161940.9002 1.110920.9269 1.078830.9587 1.043120.9794 1.021030.9975 1.00255

M = Cos + (Tan *Sin ) / FS 1/M

Sin u*b c*b8 = Cos(1) 9=sin(1) 10=3*4 11=5*4

0.292 0.956 0 0.80.407 0.914 0.6 0.80.485 0.875 1 0.80.559 0.829 1.35 0.80.616 0.788 1.55 0.8150.669 0.743 1.75 0.8150.707 0.707 1.9 0.8150.755 0.656 2.1 0.8150.788 0.616 2.15 0.8150.819 0.574 2.2 0.815

Wn Sin 15=14*[11+(12*7)] 16=2*9

3.0243 1.98912.9515 2.85032.9932 3.42852.9800 3.78042.8379 3.97162.9050 4.16902.9519 4.25682.9563 4.21852.5319 3.52161.8269 2.5008

27.9588 34.6865

Cos

1/M*[c*b + (W-u*b)Tan ]

Wn - u*b12=2-10

2.12.522.923.213.493.864.124.333.572.16

Slice Wn u b1 2 3 4

1 73 2.08 0 0.52 66 3.12 1.2 0.53 61 3.92 2 0.54 56 4.56 2.7 0.55 52 5.04 3.1 0.56 48 5.61 3.5 0.57 45 6.02 3.8 0.58 41 6.43 4.2 0.59 38 5.72 4.3 0.5

10 35 4.36 4.4 0.5


1 0.292 0.956 0.554 0.8062 0.407 0.914 0.554 0.8063 0.485 0.875 0.554 0.8064 0.559 0.829 0.554 0.8065 0.616 0.788 0.466 0.8066 0.669 0.743 0.466 0.8067 0.707 0.707 0.466 0.8068 0.755 0.656 0.466 0.8069 0.788 0.616 0.466 0.806

10 0.819 0.574 0.466 0.806

c Tan 5 6 7=tan(1) 8 = Cos(1)

1.6 29 0.554 0.2921.6 29 0.554 0.4071.6 29 0.554 0.4851.6 29 0.554 0.559

1.63 25 0.466 0.6161.63 25 0.466 0.6691.63 25 0.466 0.7071.63 25 0.466 0.7551.63 25 0.466 0.7881.63 25 0.466 0.819

13 14 15=14*[11+(12*7)]0.9500 1.0526 2.05561.0350 0.9662 2.12261.0863 0.9205 2.22641.1293 0.8855 2.28391.0716 0.9332 2.27931.0991 0.9099 2.37921.1162 0.8959 2.45131.1343 0.8816 2.49861.1442 0.8740 2.16721.1510 0.8688 1.5832

22.0474

Cos

M = Cos + (Tan *Sin ) / FS 1/M 1/M*[c*b + (W-u*b)Tan ]

Sin u*b c*b Wn - u*b9=sin(1) 10=3*4 11=5*4 12=2-10

0.956 0 0.8 2.10.914 0.6 0.8 2.520.875 1 0.8 2.920.829 1.35 0.8 3.210.788 1.55 0.815 3.490.743 1.75 0.815 3.860.707 1.9 0.815 4.120.656 2.1 0.815 4.330.616 2.15 0.815 3.570.574 2.2 0.815 2.16

Wn Sin 16=2*91.98912.85033.42853.78043.97164.16904.25684.21853.52162.500834.6865

Slice Wn u b1 2 3 4

1 73 2.08 0 0.52 66 3.12 1.2 0.53 61 3.92 2 0.54 56 4.56 2.7 0.55 52 5.04 3.1 0.56 48 5.61 3.5 0.57 45 6.02 3.8 0.58 41 6.43 4.2 0.59 38 5.72 4.3 0.5

10 35 4.36 4.4 0.5


1 0.292 0.956 0.554 0.6352 0.407 0.914 0.554 0.6353 0.485 0.875 0.554 0.6354 0.559 0.829 0.554 0.6355 0.616 0.788 0.466 0.6356 0.669 0.743 0.466 0.6357 0.707 0.707 0.466 0.6358 0.755 0.656 0.466 0.6359 0.788 0.616 0.466 0.635

10 0.819 0.574 0.466 0.635

c Tan 5 6 7=tan(1) 8 = Cos(1)

1.6 29 0.554 0.2921.6 29 0.554 0.4071.6 29 0.554 0.4851.6 29 0.554 0.559

1.63 25 0.466 0.6161.63 25 0.466 0.6691.63 25 0.466 0.7071.63 25 0.466 0.7551.63 25 0.466 0.7881.63 25 0.466 0.819

13 14 15=14*[11+(12*7)]1.1272 0.8872 1.73261.2042 0.8304 1.82431.2483 0.8011 1.93751.2829 0.7795 2.01061.1943 0.8373 2.04501.2149 0.8231 2.15251.2264 0.8154 2.23111.2365 0.8087 2.29211.2401 0.8064 1.99961.2404 0.8062 1.4691

19.6945

Cos


Sin u*b c*b Wn - u*b9=sin(1) 10=3*4 11=5*4 12=2-10

0.956 0 0.8 2.10.914 0.6 0.8 2.520.875 1 0.8 2.920.829 1.35 0.8 3.210.788 1.55 0.815 3.490.743 1.75 0.815 3.860.707 1.9 0.815 4.120.656 2.1 0.815 4.330.616 2.15 0.815 3.570.574 2.2 0.815 2.16

Wn Sin 16=2*91.98912.85033.42853.78043.97164.16904.25684.21853.52162.500834.6865

Slice Wn u b1 2 3 4

1 73 2.08 0 0.52 66 3.12 1.2 0.53 61 3.92 2 0.54 56 4.56 2.7 0.55 52 5.04 3.1 0.56 48 5.61 3.5 0.57 45 6.02 3.8 0.58 41 6.43 4.2 0.59 38 5.72 4.3 0.5

10 35 4.36 4.4 0.5


1 0.292 0.956 0.554 0.5672 0.407 0.914 0.554 0.5673 0.485 0.875 0.554 0.5674 0.559 0.829 0.554 0.5675 0.616 0.788 0.466 0.5676 0.669 0.743 0.466 0.5677 0.707 0.707 0.466 0.5678 0.755 0.656 0.466 0.5679 0.788 0.616 0.466 0.567

10 0.819 0.574 0.466 0.567

c Tan 5 6 7=tan(1) 8 = Cos(1)

1.6 29 0.554 0.2921.6 29 0.554 0.4071.6 29 0.554 0.4851.6 29 0.554 0.559

1.63 25 0.466 0.6161.63 25 0.466 0.6691.63 25 0.466 0.7071.63 25 0.466 0.7551.63 25 0.466 0.7881.63 25 0.466 0.819

13 14 15=14*[11+(12*7)]1.2273 0.8148 1.59131.2998 0.7693 1.69011.3399 0.7464 1.80511.3697 0.7301 1.88321.2637 0.7913 1.93271.2803 0.7811 2.04241.2886 0.7760 2.12331.2943 0.7726 2.18981.2943 0.7726 1.91581.2909 0.7747 1.4116

18.5854

Cos


Sin u*b c*b Wn - u*b9=sin(1) 10=3*4 11=5*4 12=2-10

0.956 0 0.8 2.10.914 0.6 0.8 2.520.875 1 0.8 2.920.829 1.35 0.8 3.210.788 1.55 0.815 3.490.743 1.75 0.815 3.860.707 1.9 0.815 4.120.656 2.1 0.815 4.330.616 2.15 0.815 3.570.574 2.2 0.815 2.16

Wn Sin 16=2*91.98912.85033.42853.78043.97164.16904.25684.21853.52162.500834.6865

Slice Wn u b1 2 3 4

1 73 2.08 0 0.52 66 3.12 1.2 0.53 61 3.92 2 0.54 56 4.56 2.7 0.55 52 5.04 3.1 0.56 48 5.61 3.5 0.57 45 6.02 3.8 0.58 41 6.43 4.2 0.59 38 5.72 4.3 0.5

10 35 4.36 4.4 0.5


1 0.292 0.956 0.554 0.5352 0.407 0.914 0.554 0.5353 0.485 0.875 0.554 0.5354 0.559 0.829 0.554 0.5355 0.616 0.788 0.466 0.5356 0.669 0.743 0.466 0.5357 0.707 0.707 0.466 0.5358 0.755 0.656 0.466 0.5359 0.788 0.616 0.466 0.535

10 0.819 0.574 0.466 0.535

c Tan 5 6 7=tan(1) 8 = Cos(1)

1.6 29 0.554 0.2921.6 29 0.554 0.4071.6 29 0.554 0.4851.6 29 0.554 0.559

1.63 25 0.466 0.6161.63 25 0.466 0.6691.63 25 0.466 0.7071.63 25 0.466 0.7551.63 25 0.466 0.7881.63 25 0.466 0.819

13 14 15=14*[11+(12*7)]1.2832 0.7793 1.52201.3533 0.7390 1.62341.3910 0.7189 1.73871.4182 0.7051 1.81881.3025 0.7678 1.87521.3169 0.7594 1.98571.3234 0.7556 2.06751.3265 0.7538 2.13651.3246 0.7549 1.87201.3191 0.7581 1.3814

18.0213

Cos


Sin u*b c*b Wn - u*b9=sin(1) 10=3*4 11=5*4 12=2-10

0.956 0 0.8 2.10.914 0.6 0.8 2.520.875 1 0.8 2.920.829 1.35 0.8 3.210.788 1.55 0.815 3.490.743 1.75 0.815 3.860.707 1.9 0.815 4.120.656 2.1 0.815 4.330.616 2.15 0.815 3.570.574 2.2 0.815 2.16

Wn Sin 16=2*91.98912.85033.42853.78043.97164.16904.25684.21853.52162.500834.6865

Slice Wn u b1 2 3 4

1 53 6.4 1.5 12 47 8.32 2.6 13 41 9.92 3.3 14 36 11.23 3.9 15 31 12.37 4.5 16 27 13.35 4.7 17 23 14.16 5 18 19 14.81 5.2 19 14 15.3 5.1 1

10 11 10.03 4.9 1


1 0.602 0.799 0.554 1.52 0.682 0.731 0.554 1.53 0.755 0.656 0.466 1.54 0.809 0.588 0.466 1.55 0.857 0.515 0.466 1.56 0.891 0.454 0.466 1.57 0.921 0.391 0.466 1.58 0.946 0.326 0.466 1.59 0.970 0.242 0.466 1.5

10 0.982 0.191 0.466 1.5

c Tan 5 6 7=tan(1) 8 = Cos(1)

1.6 29 0.554 0.6021.6 29 0.554 0.682

1.63 25 0.466 0.7551.63 25 0.466 0.8091.63 25 0.466 0.8571.63 25 0.466 0.8911.63 25 0.466 0.9211.63 25 0.466 0.9461.63 25 0.466 0.9701.63 25 0.466 0.982

13 14 15=14*[11+(12*7)]0.8969 1.1149 4.81200.9523 1.0501 5.00980.9587 1.0431 4.92040.9917 1.0083 5.09011.0173 0.9830 5.20981.0321 0.9689 5.48721.0420 0.9597 5.66371.0467 0.9554 5.83841.0455 0.9565 6.10841.0409 0.9607 3.8640

52.0037

Cos


Sin u*b c*b Wn - u*b9=sin(1) 10=3*4 11=5*4 12=2-10

0.799 1.5 1.6 4.90.731 2.6 1.6 5.720.656 3.3 1.63 6.620.588 3.9 1.63 7.330.515 4.5 1.63 7.870.454 4.7 1.63 8.650.391 5 1.63 9.160.326 5.2 1.63 9.610.242 5.1 1.63 10.20.191 4.9 1.63 5.13

Wn Sin 16=2*95.11136.08496.50816.60086.37106.06085.53284.82173.70141.913852.7065

Slice Wn u b1 2 3 4

1 53 6.4 1.5 12 47 8.32 2.6 13 41 9.92 3.3 14 36 11.23 3.9 15 31 12.37 4.5 16 27 13.35 4.7 17 23 14.16 5 18 19 14.81 5.2 19 14 15.3 5.1 1

10 11 10.03 4.9 1


1 0.602 0.799 0.554 0.9982 0.682 0.731 0.554 0.9983 0.755 0.656 0.466 0.9984 0.809 0.588 0.466 0.9985 0.857 0.515 0.466 0.9986 0.891 0.454 0.466 0.9987 0.921 0.391 0.466 0.9988 0.946 0.326 0.466 0.9989 0.970 0.242 0.466 0.998

10 0.982 0.191 0.466 0.998

c Tan 5 6 7=tan(1) 8 = Cos(1)

1.6 29 0.554 0.6021.6 29 0.554 0.682

1.63 25 0.466 0.7551.63 25 0.466 0.8091.63 25 0.466 0.8571.63 25 0.466 0.8911.63 25 0.466 0.9211.63 25 0.466 0.9461.63 25 0.466 0.9701.63 25 0.466 0.982

13 14 15=14*[11+(12*7)]1.0454 0.9566 4.12871.0882 0.9189 4.38401.0612 0.9423 4.44471.0837 0.9228 4.65831.0978 0.9109 4.82761.1031 0.9065 5.13411.1031 0.9066 5.35001.0976 0.9110 5.56761.0833 0.9231 5.89511.0708 0.9339 3.7563

48.1464

Cos


Sin u*b c*b Wn - u*b9=sin(1) 10=3*4 11=5*4 12=2-10

0.799 1.5 1.6 4.90.731 2.6 1.6 5.720.656 3.3 1.63 6.620.588 3.9 1.63 7.330.515 4.5 1.63 7.870.454 4.7 1.63 8.650.391 5 1.63 9.160.326 5.2 1.63 9.610.242 5.1 1.63 10.20.191 4.9 1.63 5.13

Wn Sin 16=2*95.11136.08496.50816.6008 6.37106.06085.53284.82173.70141.913852.7065

Fellenius 1Fellenius 2Bishop 11Bishop 12Bishop 13Bishop 14Bishop 15Bishop 21Sheet3

Mektan 2 Perhitungan Safety Factor

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