3. Diagram Tikungan 3
5.4 Analisis Stabilitas Lereng Menggunakan Software Geostudio
5.4.2 Timbunan Lereng
125
126
4 1,283 9 1,223
5 1,271 10 1,212
Analisis stabilitas lereng setelah diberi perkuatan:
Gambar 5. 38 Timbunan Lereng STA 0+ 850 dengan perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 1,703 Volume: 13,959872 m³ Weight: 250,56741 kN
Resisting Moment: 2.949,7179 kN·m Activating Moment: 1.732,5423 kN·m
Resisting Force: 470,40804 kN Activating Force: 276,27432 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (44,481353; 3,415765) m Entry: (38,575732; 7,217743) m Radius: 5,1341369 m
STA 0+875
Gambar 5. 39 Timbunan Lereng STA 0+875 tanpa perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 0,832 Volume: 34,5166 m³ Weight: 621,20762 kN
Resisting Moment: 13.626,079 kN·m Activating Moment: 16.380,58 kN·m
Resisting Force: 764,02233 kN Activating Force: 917,47018 kN Slip Rank: 1 of 405 slip surfaces Exit: (48,5907; 4,2835677) m Entry: (38,375504; 13,889601) m Radius: 12,283106 m
Analisis pemasangan geogrid pada lereng STA 0+875
FoS Circle Center
Radius Mres Mdorong ΔMr
X Y
0,832 38,38 13,89 12,283 13626,079 16377,4988 10940,1692
127 Menghitung jumlah lapisan geogrid pada tiap ketebalan timbunan 30cm:
Lapis Ti Jumlah Lapis ΔMri ΔMr Cum
1 10,26 2 646,704 646,7035152
2 9,96 2 627,794 1274,497939
3 9,66 2 608,885 1883,383273
4 9,36 2 589,976 2473,359515
5 9,06 2 571,067 3044,426667
6 8,76 2 552,158 3596,584727
7 8,46 2 533,249 4129,833697
8 8,16 2 514,34 4644,173576
9 7,86 2 495,431 5139,604364
10 7,56 2 476,522 5616,126061
11 7,26 2 457,613 6073,738667
12 6,96 2 438,704 6512,442182
13 6,66 2 419,794 6932,236606
14 6,36 2 400,885 7333,121939
15 6,06 2 381,976 7715,098182
16 5,76 2 363,067 8078,165333
17 5,46 2 344,158 8422,323394
18 5,16 2 325,249 8747,572364
19 4,86 2 255,283 9002,855596
20 4,56 2 239,526 9242,381253
21 4,26 2 223,768 9466,149333
22 3,96 2 208,011 9674,159838
23 3,66 2 192,253 9866,412768
24 3,36 2 176,495 10042,90812
25 3,06 2 160,738 10203,6459
26 2,76 2 144,98 10348,6261
27 2,46 2 129,223 10477,84873
28 2,16 2 113,465 10591,31378
29 1,86 2 97,7075 10689,02125
30 1,56 2 81,9499 10770,97115
31 1,26 2 66,1923 10837,16347
32 0,96 2 50,4347 10887,59822
33 0,66 2 34,6772 10922,27539
34 0,36 2 18,9196 10941,19499
Menghitung panjang kebutuhan geogrid di setiap lapisan di belakang garis kelongsoran kritis pada timbunan rencana:
n-i Le (m) n-i Le (m) n-i Le (m)
1 1,685 13 1,466 25 1,297
2 1,664 14 1,450 26 1,285
3 1,644 15 1,435 27 1,273
4 1,624 16 1,419 28 1,26067
5 1,605 17 1,405 29 1,249025
128
6 1,585962 18 1,390 30 1,237594
7 1,567576 19 1,376 31 1,226369
8 1,549612 20 1,362274 32 1,215347
9 1,532055 21 1,348687 33 1,204521
10 1,514891 22 1,335368 34 1,193886
11 1,498108 23 1,32231
12 1,481692 24 1,309504
Analisis stabilitas lereng setelah diberi perkuatan:
Gambar 5. 40 Timbunan Lereng STA 0+875 dengan perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 1,514 Volume: 85,685235 m³ Weight: 1.516,9077 kN
Resisting Moment: 27.875,419 kN·m Activating Moment: 18.409,589 kN·m
Resisting Force: 1.654,5556 kN Activating Force: 1.092,6736 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (50,333204; 3,8845739) m Entry: (33,531757; 13,889601) m Radius: 13,877953 m
STA 0+900
Gambar 5. 41 Timbunan Lereng STA 0+900 tanpa perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 0,747 Volume: 44,217742 m³ Weight: 795,91928 kN
Resisting Moment: 12.747,834 kN·m Activating Moment: 17.049,837 kN·m
Resisting Force: 706,27178 kN Activating Force: 945,56832 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (47,921579; 5,6005472) m Entry: (38,759883; 16,529726) m Radius: 11,550782 m
129 Analisis pemasangan geogrid pada lereng STA 0+900:
FoS Circle Center
Radius Mres Mdorong ΔMr
X Y
0,747 38,76 16,53 12,283106 12747,834 17065,37349 12850,22624
Menghitung jumlah lapisan geogrid pada tiap ketebalan timbunan 30cm:
Lapis Ti Jumlah Lapis ΔMri ΔMr Cum
1 10,93 2 688,658 688,6581236
2 10,63 2 669,749 1358,407156
3 10,33 2 650,84 2009,247098
4 10,03 2 631,931 2641,177949
5 9,73 2 613,022 3254,199709
6 9,43 2 594,113 3848,312378
7 9,13 2 575,204 4423,515956
8 8,83 2 556,294 4979,810444
9 8,53 2 537,385 5517,19584
10 8,23 2 518,476 6035,672145
11 7,93 2 499,567 6535,23936
12 7,63 2 480,658 7015,897484
13 7,33 2 461,749 7477,646516
14 7,03 2 442,84 7920,486458
15 6,73 2 423,931 8344,417309
16 6,43 2 405,022 8749,439069
17 6,13 2 386,113 9135,551738
18 5,83 2 367,204 9502,755316
19 5,53 2 348,294 9851,049804
20 5,23 2 329,385 10180,4352
21 4,93 2 310,476 10490,91151
22 4,63 2 291,567 10782,47872
23 4,33 2 272,658 11055,13684
24 4,03 2 253,749 11308,88588
25 3,73 2 234,84 11543,72582
26 3,43 2 215,931 11759,65667
27 3,13 2 197,022 11956,67843
28 2,83 2 178,113 12134,7911
29 2,53 2 159,204 12293,99468
30 2,23 2 140,294 12434,28916
31 1,93 2 121,385 12555,67456
32 1,63 2 102,476 12658,15087
33 1,33 2 83,5672 12741,71808
34 1,03 2 64,6581 12806,3762
35 0,73 2 38,1242 12844,5004
130 Analisis stabilitas lereng setelah diberi perkuatan:
Gambar 5. 42 Timbunan Lereng STA 0+900 dengan perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 1,567 Volume: 109,06582 m³ Weight: 1.932,7028 kN
Resisting Moment: 36.228,443 kN·m Activating Moment: 23.121,481 kN·m
Resisting Force: 1.831,5809 kN Activating Force: 1.169,2201 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (52,066513; 4,6637425) m Entry: (32,761608; 16,529726) m Radius: 16,271217 m
STA 0+925
Gambar 5. 43 Timbunan Lereng STA 0+925 tanpa perkuatam Analysis Type: Morgenstern-Price
Factor of Safety: 0,771 Volume: 39,257659 m³ Weight: 706,62596 kN
Resisting Moment: 15.130,262 kN·m Activating Moment: 19.600,739 kN·m
Resisting Force: 719,14916 kN Activating Force: 932,81049 kN Slip Rank: 1 of 405 slip surfaces Exit: (48,484038; 6,440775) m Entry: (38,410715; 17,137895) m Radius: 13,827727 m
Analisis pemasangan geogrid pada lereng STA 0+900:
FoS Circle Center
Radius Mres Mdorong ΔMr
X Y
0,771 38,41 17,14 13,283106 15130,3262 19624,2882 12343,67728
131 Menghitung jumlah lapisan geogrid pada tiap ketebalan timbunan 30cm:
Lapis Ti Jumlah Lapis Δmri ΔMr Cum
1 10,45 2 768,606 768,6058545
2 10,15 2 746,545 1515,151103
3 9,85 2 724,485 2239,635745
4 9,55 2 702,424 2942,059782
5 9,25 2 680,363 3622,423212
6 8,95 2 658,303 4280,726036
7 8,65 2 636,242 4916,968255
8 8,35 2 614,182 5531,149867
9 8,05 2 592,121 6123,270873
10 7,75 2 570,06 6693,331273
11 7,45 2 548 7241,331067
12 7,15 2 525,939 7767,270255
13 6,85 2 503,879 8271,148836
14 6,55 2 481,818 8752,966812
15 6,25 2 459,757 9212,724182
16 5,95 2 437,697 9650,420945
17 5,65 2 415,636 10066,0571
18 5,35 2 393,576 10459,63265
19 5,05 2 371,515 10831,1476
20 4,75 2 349,454 11180,60194
21 4,45 2 327,394 11507,99567
22 4,15 2 305,333 11813,3288
23 3,85 2 283,273 12096,60132
24 3,55 2 261,212 12357,81324
25 3,25 2 239,151 12596,96455
26 2,95 2 217,091 12814,05525
27 2,65 2 195,03 13009,08535
28 2,35 2 172,969 13182,05484
29 2,05 2 150,909 13332,96372
30 1,75 2 128,848 13461,812
31 1,45 2 106,788 13568,59967
32 1,15 2 84,7271 13653,32674
33 0,85 2 62,6665 13715,9932
34 0,55 2 40,6059 13756,59905
35 0,25 2 18,5452 13775,1443
132 Analisis stabilitas lereng setelah diberi perkuatan:
Gambar 5. 44 Timbunan Lereng STA 0+925 dengan perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 1,511 Volume: 116,18185 m³ Weight: 2.031,7844 kN
Resisting Moment: 43.483,728 kN·m Activating Moment: 28.774,399 kN·m
Resisting Force: 2.088,7255 kN Activating Force: 1.382,0771 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (53,862612; 5,0519808) m Entry: (32,75; 17,137895) m Radius: 17,024579 m
STA 0+950
Gambar 5. 45 Timbunan Lereng STA 0+ 950 tanpa perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 0,806 Volume: 31,546378 m³ Weight: 567,82844 kN
Resisting Moment: 10.515,492 kN·m Activating Moment: 13.045,276 kN·m
Resisting Force: 656,11301 kN Activating Force: 814,15027 kN Slip Rank: 1 of 405 slip surfaces Exit: (46,88491; 7,1745081) m Entry: (38,39663; 15,719669) m Radius: 10,974453 m
Analisis pemasangan geogrid pada lereng STA 0+950:
FoS Circle Center
Radius Mres Mdorong ΔMr
X Y
0,806 38,40 15,72 10,974453 10515,492 13046,51613 9054,282194
133 Menghitung jumlah lapisan geogrid pada tiap ketebalan timbunan 30cm:
Lapis Ti Jumlah Lapis Δmri ΔMr Cum
1 8,50 2 625,114 625,1144073
2 8,20 2 603,054 1228,168208
3 7,90 2 580,993 1809,161404
4 7,60 2 558,933 2368,093993
5 7,30 2 536,872 2904,965976
6 7,00 2 514,811 3419,777353
7 6,70 2 492,751 3912,528124
8 6,40 2 470,69 4383,218288
9 6,10 2 448,63 4831,847847
10 5,80 2 426,569 5258,4168
11 5,50 2 404,508 5662,925147
12 5,20 2 382,448 6045,372887
13 4,90 2 360,387 6405,760022
14 4,60 2 338,327 6744,08655
15 4,30 2 316,266 7060,352473
16 4,00 2 294,205 7354,557789
17 3,70 2 272,145 7626,702499
18 3,40 2 250,084 7876,786604
19 3,10 2 228,023 8104,810102
20 2,80 2 205,963 8310,772994
21 2,50 2 183,902 8494,67528
22 2,20 2 138,721 8633,39672
23 1,90 2 119,812 8753,209069
24 1,60 2 100,903 8854,112327
25 1,30 2 81,9942 8936,106495
26 1,00 2 63,0851 8999,191571
27 0,70 2 44,176 9043,367556
28 0,40 2 25,2669 9068,634451
Analisis stabilitas lereng setelah diberi perkuatan:
Gambar 5. 46 Timbunan Lereng STA 0+950 dengan perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 1,683 Volume: 91,445464 m³ Weight: 1.595,7291 kN
Resisting Moment: 31.198,785 kN·m Activating Moment: 18.537,423 kN·m
Resisting Force: 1.802,1191 kN Activating Force: 1.070,6816 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (52,030462; 5,896081) m Entry: (33,427578; 15,719669) m Radius: 14,332808 m
134 STA 0+975
Gambar 5. 47 Timbunan Lereng STA 0+950 tanpa perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 0,819 Volume: 24,884315 m³ Weight: 447,89425 kN
Resisting Moment: 9.048,146 kN·m Activating Moment: 11.053,967 kN·m
Resisting Force: 569,38895 kN Activating Force: 695,35663 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (47,249641; 8,0199363) m Entry: (39,11167; 16,289482) m Radius: 10,630515 m
Analisis pemasangan geogrid pada lereng STA 0+975:
FoS Circle Center
Radius Mres Mdorong ΔMr
X Y
0,819 39,11 16,29 10,372207 9048,146 11047,79731 7523,549971
Menghitung jumlah lapisan geogrid pada tiap ketebalan timbunan 30cm:
Lapis Ti Jumlah Lapis Δmri ΔMr Cum
1 8,06 2 592,482 592,481697
2 7,76 2 570,421 1162,902788
3 7,46 2 548,36 1711,263273
4 7,16 2 526,3 2237,563152
5 6,86 2 504,239 2741,802424
6 6,56 2 482,179 3223,981091
7 6,26 2 394,387 3618,368
8 5,96 2 375,478 3993,845818
9 5,66 2 356,569 4350,414545
10 5,36 2 337,66 4688,074182
11 5,06 2 318,751 5006,824727
12 4,76 2 299,841 5306,666182
13 4,46 2 280,932 5587,598545
14 4,16 2 262,023 5849,621818
15 3,86 2 243,114 6092,736
16 3,56 2 224,205 6316,941091
17 3,26 2 205,296 6522,237091
18 2,96 2 186,387 6708,624
19 2,66 2 167,478 6876,101818
135
20 2,36 2 148,569 7024,670545
21 2,06 2 129,66 7154,330182
22 1,76 2 110,751 7265,080727
23 1,46 2 91,8415 7356,922182
24 1,16 2 72,9324 7429,854545
25 0,86 2 54,0233 7483,877818
26 0,56 2 35,1142 7518,992
Analisis stabilitas lereng setelah diberi perkuatan:
Gambar 5. 48 Timbunan Lereng STA 0+975 dengan perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 1,629 Volume: 64,284268 m³ Weight: 1.133,9159 kN
Resisting Moment: 19.778,722 kN·m Activating Moment: 12.142,113 kN·m
Resisting Force: 1.326,8398 kN Activating Force: 814,32344 kN Slip Rank: 1 of 945 slip surfaces Exit: (49,440372; 7,4106569) m Entry: (34,8749; 16,289482) m Radius: 12,210837 m
STA 1+000
Gambar 5. 49 Timbunan Lereng STA 1+000 tanpa perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 0,758 Volume: 24,30914 m³ Weight: 437,56433 kN
Resisting Moment: 8.326,2376 kN·m Activating Moment: 10.992,3 kN·m
Resisting Force: 531,7588 kN Activating Force: 701,16747 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (46,585021; 7,9134563) m Entry: (39,128572; 15,859562) m Radius: 10,276969 m
136 Analisis pemasangan geogrid pada lereng STA 1+000:
FoS Circle Center
Radius Mres Mdorong ΔMr
X Y
0,758 39,13 15,86 11,63 8326,237 10984,48153 8150,485296
Menghitung jumlah lapisan geogrid pada tiap ketebalan timbunan 30cm:
Lapis Ti Jumlah Lapis Δmri ΔMr Cum
1 7,90 2 580,657 580,6572121
2 7,60 2 558,597 1139,253818
3 7,30 2 536,536 1675,789818
4 7,00 2 514,475 2190,265212
5 6,70 2 492,415 2682,68
6 6,40 2 470,354 3153,034182
7 6,10 2 448,294 3601,327758
8 5,80 2 426,233 4027,560727
9 5,50 2 404,172 4431,733091
10 5,20 2 382,112 4813,844848
11 4,90 2 360,051 5173,896
12 4,60 2 337,991 5511,886545
13 4,30 2 315,93 5827,816485
14 4,00 2 293,869 6121,685818
15 3,70 2 271,809 6393,494545
16 3,40 2 249,748 6643,242667
17 3,10 2 227,688 6870,930182
18 2,80 2 205,627 7076,557091
19 2,50 2 183,566 7260,123394
20 2,20 2 161,506 7421,629091
21 1,90 2 139,445 7561,074182
22 1,60 2 117,384 7678,458667
23 1,30 2 95,3239 7773,782545
24 1,00 2 73,2633 7847,045818
25 0,70 2 51,2027 7898,248485
26 0,40 2 29,1421 7927,390545
Analisis stabilitas lereng setelah diberi perkuatan:
Gambar 5. 50 Timbunan Lereng STA 1+000 dengan perkuatan
137
Analysis Type: Morgenstern-Price Factor of Safety: 1,575
Volume: 63,832964 m³ Weight: 1.122,9183 kN
Resisting Moment: 20.821,802 kN·m Activating Moment: 13.220,4 kN·m
Resisting Force: 1.382,9533 kN Activating Force: 877,56803 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (49,869455; 7) m
Entry: (35,00179; 15,859562) m Radius: 12,285921 m
STA 1+025
Gambar 5. 51 Timbunan Lereng STA 1+025 Tanpa Perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 0,785 Volume: 22,90487 m³ Weight: 412,2857 kN
Resisting Moment: 7.468,3153 kN·m Activating Moment: 9.507,8589 kN·m
Resisting Force: 522,6355 kN Activating Force: 665,45656 kN Slip Rank: 1 of 405 slip surfaces Exit: (45,167724; 8,0163082) m Entry: (38,094075; 15,429385) m Radius: 9,564796 m
Analisis pemasangan geogrid pada lereng STA 1+000:
FoS Circle Center
Radius Mres Mdorong ΔMr
X Y
0,785 38,10 15,43 9,639 7468,315 9513,77707 6802,350605
Menghitung jumlah lapisan geogrid pada tiap ketebalan timbunan 30cm:
Lapis Ti Jumlah Lapis Δmri ΔMr Cum
1 8,31 2 523,719 523,7187879
2 8,01 2 504,81 1028,528485
3 7,71 2 485,901 1514,429091
4 7,41 2 466,992 1981,420606
5 7,11 2 448,082 2429,50303
6 6,81 2 429,173 2858,676364
7 6,51 2 410,264 3268,940606
8 6,21 2 326,129 3595,069899
9 5,91 2 310,372 3905,441616
10 5,61 2 294,614 4200,055758
138
11 5,31 2 278,857 4478,912323
12 5,01 2 263,099 4742,011313
13 4,71 2 247,341 4989,352727
14 4,41 2 231,584 5220,936566
15 4,11 2 215,826 5436,762828
16 3,81 2 200,069 5636,831515
17 3,51 2 184,311 5821,142626
18 3,21 2 168,554 5989,696162
19 2,91 2 152,796 6142,492121
20 2,61 2 137,038 6279,530505
21 2,31 2 121,281 6400,811313
22 2,01 2 105,523 6506,334545
23 1,71 2 89,7657 6596,100202
24 1,41 2 74,0081 6670,108283
25 1,11 2 58,2505 6728,358788
26 0,81 2 42,4929 6770,851717
27 0,51 2 26,7354 6797,587071
28 0,21 2 10,9778 6808,564848
Analisis stabilitas lereng setelah diberi perkuatan:
Gambar 5. 52 Timbunan Lereng STA 1+025 Dengan Perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 1,639 Volume: 61,393187 m³ Weight: 1.071,6749 kN
Resisting Moment: 20.259,489 kN·m Activating Moment: 12.365,422 kN·m
Resisting Force: 1.351,2182 kN Activating Force: 824,3092 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (49,297999; 6,7026866) m Entry: (34,328134; 15,429385) m Radius: 12,20393 m
139 STA 1+050
Gambar 5. 53 Timbunan Lereng STA 0+050 Tanpa Perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 0,918 Volume: 11,508128 m³ Weight: 207,08504 kN
Resisting Moment: 5.025,1282 kN·m Activating Moment: 5.475,2516 kN·m
Resisting Force: 485,8385 kN Activating Force: 529,25106 kN Slip Rank: 1 of 405 slip surfaces Exit: (43,738811; 9,5541242) m Entry: (38,147847; 13,999188) m Radius: 7,8326381 m
Analisis pemasangan geogrid pada lereng STA 1+000:
FoS Circle Center
Radius Mres Mdorong ΔMr
X Y
0,918 38,15 14,00 9,639 5025,128 5473,995643 3185,865464
Menghitung jumlah lapisan geogrid pada tiap ketebalan timbunan 30cm
Lapis Ti Jumlah Lapis Δmri ΔMr Cum
1 4,43 2 372,4 372,3998384
2 4,13 2 347,188 719,5875556
3 3,83 2 321,976 1041,563152
4 3,53 2 296,763 1338,326626
5 3,23 2 271,551 1609,87798
6 2,93 2 246,339 1856,217212
7 2,63 2 221,127 2077,344323
8 2,33 2 195,915 2273,259313
9 2,03 2 170,703 2443,962182
10 1,73 2 145,491 2589,452929
11 1,43 2 120,279 2709,731556
12 1,13 2 95,0665 2804,798061
13 0,83 2 69,8544 2874,652444
14 0,53 2 44,6423 2919,294707
15 0,23 2 19,4301 2938,724848
140 Analisis stabilitas lereng setelah diberi perkuatan:
Gambar 5. 54 Timbunan Lereng STA 0+ 050 dengan Perkuatan Analysis Type: Morgenstern-Price
Factor of Safety: 1,710 Volume: 31,294078 m³ Weight: 540,36632 kN
Resisting Moment: 9.718,8313 kN·m Activating Moment: 5.681,5319 kN·m
Resisting Force: 1.019,7315 kN Activating Force: 596,3117 kN Slip Rank: 1 of 1.155 slip surfaces Exit: (46,31928; 8,7852806) m Entry: (35,805954; 13,999188) m Radius: 7,8431308 m
141 6 BAB VI
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