Fellenius Bishop
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7/18/2019 Fellenius Bishop http://slidepdf.com/reader/full/fellenius-bishop 1/26 Slice θ W u a c c.a Cos θ 1 2 3 4 5 6 7 = 5.4 8=Cos(1) 1 69.5 2.160 0.000 2.937 1.2 26.2 3.524 0.350 2 57 4.860 0.000 1.869 1.2 26.2 2.243 0.545 3 47.5 6.021 0.000 1.424 1.21 27 1.723 0.676 4 40 7.884 0.400 1.246 1.21 27 1.508 0.766 5 33 8.988 0.800 1.157 1.21 27 1.400 0.839 6 26 4.502 0.800 1.157 1.21 27 1.400 0.899 Slice Sin θ W Cos θ W Sin θ u.a W Cos θ - u.a 9=Sin(1) 10=2.8 11=2.9 12=3.4 13=Tan(6) 14=10-12 15=14.13 16= 7+15 1 0.937 0.756 2.023 0 0.492 0.756 0.372 3.897 2 0.839 2.647 4.076 0 0.492 2.647 1.302 3.545 3 0.737 4.068 4.439 0 0.510 4.068 2.073 3.796 4 0.643 6.039 5.068 0.4984 0.510 5.541 2.823 4.331 5 0.545 7.538 4.895 0.9256 0.510 6.612 3.369 4.769 6 0.438 4.047 1.974 0.9256 0.510 3.121 1.590 2.990 ∑ = 22.475 ∑ = 23.328 Safety Factor = Syarat Safety Factor > 1,5 ∑ [W Sin θ] Ha sil : 1 .03 79 51 < 1, 5 K es i !" la # : $ %& 'K '( ') Safety Factor = 1.037951 Tabel Perhitunan Safety Factor !enan "eto!e #ellenius φ Tan φ $W Cos θ - u.a%tφ c.a &$W Cos θ - u.a%tφ ∑ [c.a &$W Cos θ - u.a%tφ]
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tabel perhitungan excel fellenius dan bishop
Transcript of Fellenius Bishop
7/18/2019 Fellenius Bishop
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Slice
θ W u a c c.a Cos θ
1 2 3 4 5 6 7 = 5.4 8=Cos(1)
1 69.5 2.160 0.000 2.937 1.2 26.2 3.524 0.350
2 57 4.860 0.000 1.869 1.2 26.2 2.243 0.545
3 47.5 6.021 0.000 1.424 1.21 27 1.723 0.676
4 40 7.884 0.400 1.246 1.21 27 1.508 0.766
5 33 8.988 0.800 1.157 1.21 27 1.400 0.839
6 26 4.502 0.800 1.157 1.21 27 1.400 0.899
SliceSin θ W Cos θ W Sin θ u.a W Cos θ - u.a
9=Sin(1) 10=2.8 11=2.9 12=3.4 13=Tan(6) 14=10-12 15=14.13 16= 7+15
1 0.937 0.756 2.023 0 0.492 0.756 0.372 3.8972 0.839 2.647 4.076 0 0.492 2.647 1.302 3.545
3 0.737 4.068 4.439 0 0.510 4.068 2.073 3.796
4 0.643 6.039 5.068 0.4984 0.510 5.541 2.823 4.331
5 0.545 7.538 4.895 0.9256 0.510 6.612 3.369 4.769
6 0.438 4.047 1.974 0.9256 0.510 3.121 1.590 2.990
∑ = 22.475 ∑ = 23.328
Safety Factor = Syarat Safety Factor > 1,5
∑ [W Sin θ] Hasil : 1 .037951 < 1,5
Kesi!"la# : $%&'K '(')
Safety Factor = 1.037951
Tabel Perhitunan Safety Factor !enan "eto!e #ellenius
φ
Tan φ $W Cos θ - u.a%tφ c.a &$W Cos θ - u.a%tφ
∑ [c.a &$W Cos θ - u.a%tφ]
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Slice
θ W c b Cos θ Sin θ u u.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5
1 73 1.2400 2.8 25 0.5 0.466308 0.292372 0.956305 0.000 0
2 62 2.285 2.8 25 0.5 0.466308 0.469472 0.882948 0.000 0
3 53 2.838 3.7 32 0.5 0.624869 0.601815 0.798636 0.100 0.05
4 42 3.390 3.7 32 0.5 0.624869 0.743145 0.669131 0.650 0.325
5 40 3.230 3.7 32 0.5 0.624869 0.766044 0.642788 0.850 0.425
6 35 2.620 3.7 32 0.5 0.624869 0.819152 0.573576 1.050 0.525
7 28 2.685 3.7 32 0.5 0.624869 0.882948 0.469472 1.100 0.55
8 25 1.720 3.7 32 0.5 0.624869 0.906308 0.422618 1.050 0.525
9 22 0.675 3.4 30 0.5 0.5773502692 0.9271838546 0.3746065934 0.65 0.325
Diinginkan FS = 1,5
SliceCos θ Sin θ
FS 7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15
1 0.292 0.956 0.466 1.5 0.5897 1.6959
2 0.469 0.883 0.466 1.5 0.7440 1.3442
3 0.602 0.799 0.625 1.5 0.9345 1.0701
4 0.743 0.669 0.625 1.5 1.0219 0.9786
5 0.766 0.643 0.625 1.5 1.0338 0.9673
6 0.819 0.574 0.625 1.5 1.0581 0.9451
7 0.883 0.469 0.625 1.5 1.0785 0.9272
8 0.906 0.423 0.625 1.5 1.0824 0.9239
9 0.927 0.375 0.577 1.5 1.0714 0.9334
Safety Factor =∑=
∑ [W Sin θ]
Safety Factor = '.05017
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Mθ= Cos θ + (tanφ.Sinθ)/FS 1*"
θ 1/M
∑ 1*"θ.[c.b &$W- u.b%tφ]
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Trial ke = 1
c.b W - u.b
11 = 3.5 12 = 2-10
1.4 1.240
1.4 2.285
1.85 2.788
1.85 3.065
1.85 2.805
1.85 2.095
1.85 2.135
1.85 1.1951.7 0.350
W Sin θ
= 14. [11 + (12.6)] 16 = *2+*8+
3.354852 1.1858183.314062 2.017535
3.843535 2.266128
3.684566 2.268353
3.484911 2.076204
2.985658 1.502770
2.952283 1.260531
2.399123 0.726903
1.775365 0.252859
27.794354 13.557102
. [c.b + (!".b#tanφ ]
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Trial ke =
Slice
θ W c b Cos θ Sin θ u u.b c.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5 11 = 3.5
1 73 1.2400 2.8 25 0.5 0.466308 0.292372 0.956305 0.000 0 1.4
2 62 2.285 2.8 25 0.5 0.466308 0.469472 0.882948 0.000 0 1.4
3 53 2.838 3.7 32 0.5 0.624869 0.601815 0.798636 0.100 0.05 1.85
4 42 3.390 3.7 32 0.5 0.624869 0.743145 0.669131 0.650 0.325 1.85
5 40 3.230 3.7 32 0.5 0.624869 0.766044 0.642788 0.850 0.425 1.85
6 35 2.620 3.7 32 0.5 0.624869 0.819152 0.573576 1.050 0.525 1.85
7 28 2.685 3.7 32 0.5 0.624869 0.882948 0.469472 1.100 0.55 1.85
8 25 1.720 3.7 32 0.5 0.624869 0.906308 0.422618 1.050 0.525 1.85
9 22 0.675 3.4 30 0.5 0.577350 0.927184 0.374606593 0.65 0.325 1.7
Diinginkan FS = $.%5%1&
SliceCos θ Sin θ
FS 7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15 = 14. [11 + (1
1 0.292 0.956 0.466 2.05017 0.5099 1.9612 3.879767
2 0.469 0.883 0.466 2.05017 0.6703 1.4919 3.678242
3 0.602 0.799 0.625 2.05017 0.8452 1.1831 4.249520
4 0.743 0.669 0.625 2.05017 0.9471 1.0559 3.975578
5 0.766 0.643 0.625 2.05017 0.9620 1.0395 3.745231
6 0.819 0.574 0.625 2.05017 0.9940 1.0061 3.178260
7 0.883 0.469 0.625 2.05017 1.0260 0.9746 3.103294
8 0.906 0.423 0.625 2.05017 1.0351 0.9661 2.508623
9 0.927 0.375 0.577 2.05017 1.0327 0.9684 1.841885
Safety Factor =∑= 30.160401
∑ [W Sin θ]
Safety Factor = '.''+,9
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ θ= Cos θ + (tanφ.Sinθ)/FS 1*"
θ 1/M
θ . [c.b + (!".b
∑ 1*"θ.[c.b &$W- u.b%tφ]
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$
W - u.b
12 = 2-10
1.240
2.285
2.788
3.065
2.805
2.095
2.135
1.1950.350
W Sin θ
.6)] 16 = *2+*8+
1.1858182.017535
2.266128
2.268353
2.076204
1.502770
1.260531
0.726903
0.252859
13.557102
tanφ ]
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Slice
θ W c b Cos θ Sin θ u u.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5
1 73 1.2400 2.8 25 0.5 0.466308 0.292372 0.956305 0.000 0
2 62 2.285 2.8 25 0.5 0.466308 0.469472 0.882948 0.000 0
3 53 2.838 3.7 32 0.5 0.624869 0.601815 0.798636 0.100 0.05
4 42 3.390 3.7 32 0.5 0.624869 0.743145 0.669131 0.650 0.325
5 40 3.230 3.7 32 0.5 0.624869 0.766044 0.642788 0.850 0.425
6 35 2.620 3.7 32 0.5 0.624869 0.819152 0.573576 1.050 0.525
7 28 2.685 3.7 32 0.5 0.624869 0.882948 0.469472 1.100 0.55
8 25 1.720 3.7 32 0.5 0.624869 0.906308 0.422618 1.050 0.525
9 22 0.675 3.4 30 0.5 0.577350 0.927184 0.3746065934 0.65 0.325
Diinginkan FS = $.$$')
SliceCos θ Sin θ
FS 7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15
1 0.292 0.956 0.466 2.22469 0.4928 2.0291
2 0.469 0.883 0.466 2.22469 0.6545 1.5278
3 0.602 0.799 0.625 2.22469 0.8261 1.2105
4 0.743 0.669 0.625 2.22469 0.9311 1.0740
5 0.766 0.643 0.625 2.22469 0.9466 1.0564
6 0.819 0.574 0.625 2.22469 0.9803 1.0201
7 0.883 0.469 0.625 2.22469 1.0148 0.9854
8 0.906 0.423 0.625 2.22469 1.0250 0.9756
9 0.927 0.375 0.577 2.22469 1.0244 0.9762
Safety Factor =∑=
∑ [W Sin θ]
Safety Factor = '.',,,+
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Mθ= Cos θ + (tanφ.Sinθ)/FS 1*"
θ 1/M
θ .
∑ 1*"θ.[c.b &$W- u.b%tφ]
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Trial ke = *
c.b W - u.b
11 = 3.5 12 = 2-101.4 1.240
1.4 2.285
1.85 2.788
1.85 3.065
1.85 2.805
1.85 2.095
1.85 2.135
1.85 1.1951.7 0.350
W Sin θ
= 14. [11 + (12.6)] 16 = *2+*8+
4.014097 1.1858183.766774 2.017535
4.347743 2.266128
4.043890 2.268353
3.806038 2.076204
3.222725 1.502770
3.137620 1.260531
2.533353 0.726903
1.856765 0.252859
30.729005 13.557102
[c.b + (!".b#tanφ ]
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Slice θ W c b Cos θ Sin θ u u.b1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5
1 73 1.2400 2.8 25 0.5 0.466308 0.292372 0.956305 0.000 0
2 62 2.285 2.8 25 0.5 0.466308 0.469472 0.882948 0.000 0
3 53 2.838 3.7 32 0.5 0.624869 0.601815 0.798636 0.100 0.05
4 42 3.390 3.7 32 0.5 0.624869 0.743145 0.669131 0.650 0.325
5 40 3.230 3.7 32 0.5 0.624869 0.766044 0.642788 0.850 0.425
6 35 2.620 3.7 32 0.5 0.624869 0.819152 0.573576 1.050 0.525
7 28 2.685 3.7 32 0.5 0.624869 0.882948 0.469472 1.100 0.558 25 1.720 3.7 32 0.5 0.624869 0.906308 0.422618 1.050 0.525
9 22 0.675 3.4 30 0.5 0.577350 0.927184 0.374607 0.65 0.325
Diinginkan FS = $.$'
SliceCos θ Sin θ
FS
7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 151 0.292 0.956 0.466 2.26664 0.4891 2.0445
2 0.469 0.883 0.466 2.26664 0.6511 1.5358
3 0.602 0.799 0.625 2.26664 0.8220 1.2166
4 0.743 0.669 0.625 2.26664 0.9276 1.0780
5 0.766 0.643 0.625 2.26664 0.9432 1.0602
6 0.819 0.574 0.625 2.26664 0.9773 1.0233
7 0.883 0.469 0.625 2.26664 1.0124 0.9878
8 0.906 0.423 0.625 2.26664 1.0228 0.9777
9 0.927 0.375 0.577 2.26664 1.0226 0.9779
Safety Factor =∑=
∑ [W Sin θ]
Safety Factor = '.'7,00
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Mθ= Cos θ + (tanφ.Sinθ)/FS 1*"
θ 1/M
θ .
∑ 1*"θ.[c.b &$W- u.b%tφ]
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Trial ke = '
c.b W - u.b11 = 3.5 12 = 2-10
1.4 1.240
1.4 2.285
1.85 2.788
1.85 3.065
1.85 2.805
1.85 2.095
1.85 2.135
1.85 1.195
1.7 0.350
W Sin θ
= 14. [11 + (12.6)] 16 = *2+*8+
4.044543 1.185818
3.786589 2.017535
4.369702 2.266128
4.059054 2.268353
3.819521 2.076204
3.232558 1.502770
3.145184 1.260531
2.538795 0.726903
1.860032 0.252859
30.55977 13.557102
[c.b + (!".b#tanφ ]
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Slice
θ W c b Cos θ Sin θ u u.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5
1 73 1.2400 2.8 25 0.5 0.466308 0.292372 0.956305 0.000 0
2 62 2.285 2.8 25 0.5 0.466308 0.469472 0.882948 0.000 0
3 53 2.838 3.7 32 0.5 0.624869 0.601815 0.798636 0.100 0.05
4 42 3.390 3.7 32 0.5 0.624869 0.743145 0.669131 0.650 0.325
5 40 3.230 3.7 32 0.5 0.624869 0.766044 0.642788 0.850 0.425
6 35 2.620 3.7 32 0.5 0.624869 0.819152 0.573576 1.050 0.525
7 28 2.685 3.7 32 0.5 0.624869 0.882948 0.469472 1.100 0.55
8 25 1.720 3.7 32 0.5 0.624869 0.906308 0.422618 1.050 0.525
9 22 0.675 3.4 30 0.5 0.57735 0.927184 0.37461 0.65 0.325
Diinginkan FS = $.$&5
SliceCos θ Sin θ
FS 7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15
1 0.292 0.956 0.466 2.2765 0.4883 2.04812 0.469 0.883 0.466 2.2765 0.6503 1.5377
3 0.602 0.799 0.625 2.2765 0.8210 1.2180
4 0.743 0.669 0.625 2.2765 0.9268 1.0790
5 0.766 0.643 0.625 2.2765 0.9425 1.0610
6 0.819 0.574 0.625 2.2765 0.9766 1.0240
7 0.883 0.469 0.625 2.2765 1.0118 0.9883
8 0.906 0.423 0.625 2.2765 1.0223 0.9782
9 0.927 0.375 0.577 2.2765 1.0222 0.9783
Safety Factor =∑=
∑ [W Sin θ]
Safety Factor = '.'71,
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Mθ= Cos θ + (tanφ.Sinθ)/FS 1*"
θ 1/M
θ .
∑ 1*"θ.[c.b &$W- u.b%tφ]
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Trial ke = 5
c.b W - u.b
11 = 3.5 12 = 2-101.4 1.240
1.4 2.285
1.85 2.788
1.85 3.065
1.85 2.805
1.85 2.095
1.85 2.135
1.85 1.1951.7 0.350
W Sin θ
14. [11 + (12.6)] 16 = *2+*8+
4.051601 1.185818
3.791170 2.017535
4.374777 2.266128
4.062553 2.268353
3.822632 2.076204
3.234825 1.502770
3.146927 1.260531
2.540048 0.726903
1.860784 0.252859
30.5316 13.557102
[c.b + (!".b#tanφ ]
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W - u.b
12 = 2-101.240
2.285
2.788
3.065
2.805
2.095
2.135
1.1950.350
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Slice
θ W c b Cos θ Sin θ u u.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5
1 73 1.2400 2.8 25 0.5 0.466308 0.292372 0.956305 0.000 0
2 62 2.285 2.8 25 0.5 0.466308 0.469472 0.882948 0.000 0
3 53 2.838 3.7 32 0.5 0.624869 0.601815 0.798636 0.100 0.05
4 42 3.390 3.7 32 0.5 0.624869 0.743145 0.669131 0.650 0.325
5 40 3.230 3.7 32 0.5 0.624869 0.766044 0.642788 0.850 0.425
6 35 2.620 3.7 32 0.5 0.624869 0.819152 0.573576 1.050 0.525
7 28 2.685 3.7 32 0.5 0.624869 0.882948 0.469472 1.100 0.55
8 25 1.720 3.7 32 0.5 0.624869 0.906308 0.422618 1.050 0.525
9 22 0.675 3.4 30 0.5 0.5773502692 0.9271838546 0.3746065934 0.65 0.325
Diinginkan FS = $.$&5*
SliceCos θ Sin θ
FS 7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 1
1 0.292 0.956 0.466 2.27853 0.4881 2.04882 0.469 0.883 0.466 2.27853 0.6502 1.5381
3 0.602 0.799 0.625 2.27853 0.8208 1.2183
4 0.743 0.669 0.625 2.27853 0.9266 1.0792
5 0.766 0.643 0.625 2.27853 0.9423 1.0612
6 0.819 0.574 0.625 2.27853 0.9765 1.0241
7 0.883 0.469 0.625 2.27853 1.0117 0.9884
8 0.906 0.423 0.625 2.27853 1.0222 0.9783
9 0.927 0.375 0.577 2.27853 1.0221 0.9784
Safety Factor =∑=
∑ [W Sin θ]
Safety Factor = '.'7,1
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Mθ= Cos θ + (tanφ.Sinθ)/FS 1*"
θ 1/
∑ 1*"θ.[c.b &$W- u.b%tφ]
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Trial ke = &
c.b W - u.b
11 = 3.5 12 = 2-101.4 1.240
1.4 2.285
1.85 2.788
1.85 3.065
1.85 2.805
1.85 2.095
1.85 2.135
1.85 1.1951.7 0.350
W Sin θ
5 = 14. [11 + (12.6)] 16 = *2+*8+
4.053050 1.185818
3.792109 2.017535
4.375818 2.266128
4.063271 2.268353
3.823269 2.076204
3.235289 1.502770
3.147284 1.260531
2.540305 0.726903
1.860938 0.252859
30.91333 13.557102
θ . [c.b + (!".b#tanφ ]
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Sliceθ W c b Cos θ Sin θ u u.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.51 73 1.2400 2.8 25 0.5 0.466308 0.292372 0.956305 0.000 0
2 62 2.285 2.8 25 0.5 0.466308 0.469472 0.882948 0.000 0
3 53 2.838 3.7 32 0.5 0.624869 0.601815 0.798636 0.100 0.05
4 42 3.390 3.7 32 0.5 0.624869 0.743145 0.669131 0.650 0.325
5 40 3.230 3.7 32 0.5 0.624869 0.766044 0.642788 0.850 0.425
6 35 2.620 3.7 32 0.5 0.624869 0.819152 0.573576 1.050 0.525
7 28 2.685 3.7 32 0.5 0.624869 0.882948 0.469472 1.100 0.55
8 25 1.720 3.7 32 0.5 0.624869 0.906308 0.422618 1.050 0.5259 22 0.675 3.4 30 0.5 0.5773502692 0.9271838546 0.3746065934 0.65 0.325
Diinginkan FS = $.$&1
SliceCos θ Sin θ
FS 7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15
1 0.292 0.956 0.466 2.27861 0.4881 2.04892 0.469 0.883 0.466 2.27861 0.6502 1.5381
3 0.602 0.799 0.625 2.27861 0.8208 1.2183
4 0.743 0.669 0.625 2.27861 0.9266 1.0792
5 0.766 0.643 0.625 2.27861 0.9423 1.0612
6 0.819 0.574 0.625 2.27861 0.9764 1.0241
7 0.883 0.469 0.625 2.27861 1.0117 0.9884
8 0.906 0.423 0.625 2.27861 1.0222 0.9783
9 0.927 0.375 0.577 2.27861
1.0221 0.9784
Safety Factor =∑=
∑ [W Sin θ]
Safety Factor = '.'7,3
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Mθ= Cos θ + (tanφ.Sinθ)/FS 1*"
θ 1/M
θ .
∑ 1*"θ.[c.b &$W- u.b%tφ]
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Trial ke =
Sliceθ W c b Cos θ Sin θ u u.b c.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5 11 = 3.51 73 1.2400 2.8 25 0.5 0.466308 0.292372 0.956305 0.000 0 1.4
2 62 2.285 2.8 25 0.5 0.466308 0.469472 0.882948 0.000 0 1.4
3 53 2.838 3.7 32 0.5 0.624869 0.601815 0.798636 0.100 0.05 1.85
4 42 3.390 3.7 32 0.5 0.624869 0.743145 0.669131 0.650 0.325 1.85
5 40 3.230 3.7 32 0.5 0.624869 0.766044 0.642788 0.850 0.425 1.85
6 35 2.620 3.7 32 0.5 0.624869 0.819152 0.573576 1.050 0.525 1.85
7 28 2.685 3.7 32 0.5 0.624869 0.882948 0.469472 1.100 0.55 1.85
8 25 1.720 3.7 32 0.5 0.624869 0.906308 0.422618 1.050 0.525 1.859 22 0.675 3.4 30 0.5 0.5773502692 0.9271838546 0.3746065934 0.65 0.325 1.7
Diinginkan FS = $.$&*
SliceCos θ Sin θ
FS 7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15 = 14. [11 + (12.
1 0.292 0.956 0.466 2.27863 0.4881 2.0489 4.0531212 0.469 0.883 0.466 2.27863 0.6502 1.5381 3.792155
3 0.602 0.799 0.625 2.27863 0.8208 1.2183 4.375869
4 0.743 0.669 0.625 2.27863 0.9266 1.0792 4.063306
5 0.766 0.643 0.625 2.27863 0.9423 1.0612 3.823301
6 0.819 0.574 0.625 2.27863 0.9764 1.0241 3.235312
7 0.883 0.469 0.625 2.27863 1.0117 0.9884 3.147301
8 0.906 0.423 0.625 2.27863 1.0222 0.9783 2.540317
9 0.927 0.375 0.577 2.27863 1.0221 0.9784 1.860945
Safety Factor =∑= 30.91629
∑ [W Sin θ]
Safety Factor = '.'7,3
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Mθ= Cos θ + (tanφ.Sinθ)/FS 1*"
θ 1/M
θ . [c.b + (!".b#t
∑ 1*"θ.[c.b &$W- u.b%tφ]
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)
W - u.b
12 = 2-101.240
2.285
2.788
3.065
2.805
2.095
2.135
1.195
0.350
W Sin θ
6)] 16 = *2+*8+
1.185818
2.017535
2.266128
2.268353
2.076204
1.502770
1.260531
0.726903
0.252859
13.557102
nφ ]
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Trial ke = 1%
Sliceθ W c b Cos θ Sin θ u u.b c.b W - u.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5 11 = 3.5 12 = 2-101 75 1.5630 2.7 28 0.5 0.531709 0.258819 0.965926 0.000 0 1.35 1.563
2 66 2.406 2.1 25 0.5 0.466308 0.406737 0.913545 0.275 0.1375 1.05 2.269
3 59 3.450 2.1 25 0.5 0.466308 0.515038 0.857167 1.500 0.75 1.05 2.700
4 53 4.076 2.1 25 0.5 0.466308 0.601815 0.798636 2.000 1 1.05 3.076
5 48 3.854 2.1 25 0.5 0.466308 0.669131 0.743145 2.375 1.1875 1.05 2.667
6 44 2.881 2.1 25 0.5 0.466308 0.719340 0.694658 2.600 1.3 1.05 1.581
7 40 1.853 3.4 32 0.5 0.624869 0.766044 0.642788 2.200 1.1 1.7 0.753
8 35 0.651 3.4 32 0.575 0.624869 0.819152 0.573576 0.900 0.5175 1.955 0.1335
Diinginkan FS = 1,5
SliceCos θ Sin θ
FS W Sin θ
7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15 = 14. [11 + (12.6)] 16 = *2+*8+
1 0.259 0.966 0.532 1.176499 0.6954 1.4381 3.1366 1.510
2 0.407 0.914 0.466 1.176499 0.7688 1.3007 2.7416 2.198
3 0.515 0.857 0.466 1.176499 0.8548 1.1699 2.7013 2.9574 0.602 0.799 0.466 1.176499 0.9184 1.0889 2.7052 3.255
5 0.669 0.743 0.466 1.176499 0.9637 1.0377 2.3799 2.864
6 0.719 0.695 0.466 1.176499 0.9947 1.0054 1.7968 2.001
7 0.766 0.643 0.625 1.176499 1.1074 0.9030 ∑= 1.9599 1.191
8 0.819 0.574 0.625 1.176499 1.1238 0.8898 1.8139 0.373
19.2352 16.350
Safety Factor =∑ [W Sin θ]
Safety Factor = 1.17,+,
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Cos θ + (tanφ.Sinθ 1*"
θ 1(
-. c./ *"./+ta#φ]
∑ 1*"θ.[c.b &$W- u.b%tφ]
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Trial ke = 11
Sliceθ W c b Cos θ Sin θ u u.b c.b W - u.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5 11 = 3.5 12 = 2-101 75 1.5630 2.7 28 0.5 0.531709 0.258819 0.965926 0.000 0 1.35 1.563
2 66 2.406 2.1 25 0.5 0.466308 0.406737 0.913545 0.275 0.1375 1.05 2.269
3 59 3.450 2.1 25 0.5 0.466308 0.515038 0.857167 1.500 0.75 1.05 2.700
4 53 4.076 2.1 25 0.5 0.466308 0.601815 0.798636 2.000 1 1.05 3.076
5 48 3.854 2.1 25 0.5 0.466308 0.669131 0.743145 2.375 1.1875 1.05 2.667
6 44 2.881 2.1 25 0.5 0.466308 0.719340 0.694658 2.600 1.3 1.05 1.581
7 40 1.853 3.4 32 0.5 0.624869 0.766044 0.642788 2.200 1.1 1.7 0.753
8 35 0.651 3.4 32 0.575 0.624869 0.819152 0.573576 0.900 0.5175 1.955 0.1335
Diinginkan FS = 1,5
SliceCos θ Sin θ
FS W Sin θ
7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15 = 14. [11 + (12.6)] 16 = *2+*8+
1 0.259 0.966 0.532 1.176499 0.6954 1.4381 3.1366 1.510
2 0.407 0.914 0.466 1.176499 0.7688 1.3007 2.7416 2.198
3 0.515 0.857 0.466 1.176499 0.8548 1.1699 2.7013 2.9574 0.602 0.799 0.466 1.176499 0.9184 1.0889 2.7052 3.255
5 0.669 0.743 0.466 1.176499 0.9637 1.0377 2.3799 2.864
6 0.719 0.695 0.466 1.176499 0.9947 1.0054 1.7968 2.001
7 0.766 0.643 0.625 1.176499 1.1074 0.9030 ∑= 1.9599 1.191
8 0.819 0.574 0.625 1.176499 1.1238 0.8898 1.8139 0.373
19.2352 16.350
Safety Factor =∑ [W Sin θ]
Safety Factor = 1.17,+,
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Cos θ + (tanφ.Sinθ 1*"
θ 1(
-. c./ *"./+ta#φ]
∑ 1*"θ.[c.b &$W- u.b%tφ]
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Trial ke = 1$
Sliceθ W c b Cos θ Sin θ u u.b c.b W - u.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5 11 = 3.5 12 = 2-101 75 1.5630 2.7 28 0.5 0.531709 0.258819 0.965926 0.000 0 1.35 1.563
2 66 2.406 2.1 25 0.5 0.466308 0.406737 0.913545 0.275 0.1375 1.05 2.269
3 59 3.450 2.1 25 0.5 0.466308 0.515038 0.857167 1.500 0.75 1.05 2.700
4 53 4.076 2.1 25 0.5 0.466308 0.601815 0.798636 2.000 1 1.05 3.076
5 48 3.854 2.1 25 0.5 0.466308 0.669131 0.743145 2.375 1.1875 1.05 2.667
6 44 2.881 2.1 25 0.5 0.466308 0.719340 0.694658 2.600 1.3 1.05 1.581
7 40 1.853 3.4 32 0.5 0.624869 0.766044 0.642788 2.200 1.1 1.7 0.753
8 35 0.651 3.4 32 0.575 0.624869 0.819152 0.573576 0.900 0.5175 1.955 0.1335
Diinginkan FS = 1,5
SliceCos θ Sin θ
FS W Sin θ
7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15 = 14. [11 + (12.6)] 16 = *2+*8+
1 0.259 0.966 0.532 1.176499 0.6954 1.4381 3.1366 1.510
2 0.407 0.914 0.466 1.176499 0.7688 1.3007 2.7416 2.198
3 0.515 0.857 0.466 1.176499 0.8548 1.1699 2.7013 2.9574 0.602 0.799 0.466 1.176499 0.9184 1.0889 2.7052 3.255
5 0.669 0.743 0.466 1.176499 0.9637 1.0377 2.3799 2.864
6 0.719 0.695 0.466 1.176499 0.9947 1.0054 1.7968 2.001
7 0.766 0.643 0.625 1.176499 1.1074 0.9030 ∑= 1.9599 1.191
8 0.819 0.574 0.625 1.176499 1.1238 0.8898 1.8139 0.373
19.2352 16.350
Safety Factor =∑ [W Sin θ]
Safety Factor = 1.17,+,
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Cos θ + (tanφ.Sinθ 1*"
θ 1(
-. c./ *"./+ta#φ]
∑ 1*"θ.[c.b &$W- u.b%tφ]
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Trial ke = 1*
Sliceθ W c b Cos θ Sin θ u u.b c.b W - u.b
1 2 3 4 5 6= tan(4) 7 = Cos(1) 8 = Sin(1) 9 10 = 9.5 11 = 3.5 12 = 2-101 75 1.5630 2.7 28 0.5 0.531709 0.258819 0.965926 0.000 0 1.35 1.563
2 66 2.406 2.1 25 0.5 0.466308 0.406737 0.913545 0.275 0.1375 1.05 2.269
3 59 3.450 2.1 25 0.5 0.466308 0.515038 0.857167 1.500 0.75 1.05 2.700
4 53 4.076 2.1 25 0.5 0.466308 0.601815 0.798636 2.000 1 1.05 3.076
5 48 3.854 2.1 25 0.5 0.466308 0.669131 0.743145 2.375 1.1875 1.05 2.667
6 44 2.881 2.1 25 0.5 0.466308 0.719340 0.694658 2.600 1.3 1.05 1.581
7 40 1.853 3.4 32 0.5 0.624869 0.766044 0.642788 2.200 1.1 1.7 0.753
8 35 0.651 3.4 32 0.575 0.624869 0.819152 0.573576 0.900 0.5175 1.955 0.1335
Diinginkan FS = 1,5
SliceCos θ Sin θ
FS W Sin θ
7 8 6 13 = 7 +((8.6)/FS) 14 = (1)/13 15 = 14. [11 + (12.6)] 16 = *2+*8+
1 0.259 0.966 0.532 1.176443 0.6954 1.4381 3.136493 1.509742
2 0.407 0.914 0.466 1.176443 0.7688 1.3007 2.741559 2.197990
3 0.515 0.857 0.466 1.176443 0.8548 1.1699 2.701271 2.9572274 0.602 0.799 0.466 1.176443 0.9184 1.0889 2.705184 3.255238
5 0.669 0.743 0.466 1.176443 0.9637 1.0377 2.379817 2.864080
6 0.719 0.695 0.466 1.176443 0.9947 1.0053 1.796788 2.001311
7 0.766 0.643 0.625 1.176443 1.1075 0.9030 1.959911 1.191085
8 0.819 0.574 0.625 1.176443 1.1238 0.8898 1.813851 0.373398
∑= 19.23474 16.350073
Safety Factor =∑ [W Sin θ]
Safety Factor = 1.17,++
Tabel Perhitunan Safety Factor !enan "eto!e (isho)
φ tan φ
tan φ Cos θ + (tanφ.Sinθ 1*"
θ 1(
-. c./ *"./+ta#φ]
.[c.b &$W- u.b%tφ]
