2.stabilitas lereng metode
DESCRIPTION
Stabilitas LerengTRANSCRIPT
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
CIRCULAR FAILURE (SLIDING)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Metode Culmann
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1. METODE CULMANN
SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
cos1cossin4cHCR
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
1. METODE CULMANN
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
1. METODE CULMANN
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
1. METODE CULMANN
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Tentukan Bidang Longsor Kritis dengan cara menentukan harga sudut . Turunkan cd terhadap kemudian sama dengankan 0 , H dan konstan
Harga yang kritis:
2d
cr
SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
METODE CULMANN
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METODE CULMANN
2d
cr
SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Terzaghi & Peck
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Stability Number
Terzaghi & Peck, 1967
SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
mcH u
CR
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Terzaghi & Peck, 1967
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Metode Fellenius
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TIMBUNAN DIATAS LEMPUNG LUNAK ( U = 0, CU)3. Metode Fellenius
SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
2 1cos
1
1
' cos '
sin
i
n
i i i i i
n
i i
c b w u b tgF
w
p
nNN
p
nNNN
W
WLCFS
1
1
sin.
tan.cos..
p
nNN
p
nNNNN
W
LUWLCFS
1
1
sin.
'tan]..cos.['.
• Short Term Lempung :
• Long Term lempung, Long Term dan Short Term Pasir :
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Metode Bishop
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4. Metode Irisan BISHOP yang Disederhanakan
SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Gambar : Analisa Stabilitas dg Metoda Irisan yg biasa untuk Talud pada Tanah yg Berlapis
C
A
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Gambar : Gaya – gaya yang bekerja pada irisan (a) ; Poligon gaya keseimbangan (b)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
𝑇 𝑟=𝑁𝑟 ¿Dari gambar di atas, diperoleh :
𝑊𝑛+∆𝑇=𝑁𝑟 cos𝛼𝑛+[𝑁𝑟 tan∅𝐹𝑠 +
𝑐 ∆ 𝐿𝑛
𝐹𝑠 ]sin𝛼𝑛
Pada gambar (b) menunjukkan keseimbangan dari irisan nomor n. Jumlahkan gaya dalam arah vertikal
Atau,
𝑁𝑟=𝑐+∆𝑇 −
𝑐 .∆ 𝐿𝑛
𝐹𝑠 sin𝛼𝑛
cos𝛼𝑛+tan∅ .sin 𝛼𝑛
𝐹𝑠
(1)
(2)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Untuk keseimbangan blok ABC, ambil momen terhadap O
Dengan,
∑𝑛=1
𝑛=𝑝
𝑤𝑛𝑟 sin 𝛼𝑛=∑𝑛=1
𝑛=𝑝
𝑇 𝑟 𝑟
𝑇 𝑟=1𝐹𝑠
¿
¿1𝐹 𝑠
¿
(3)
(4)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Masukkan Persamaan (2) dan (4) ke persamaan (3), sehingga,
(5)
𝑚𝛼 (𝑛)=cos𝛼𝑛+tan∅ . sin𝛼𝑛
𝐹𝑠
𝐹 𝑠=∑𝑛=1
𝑛=𝑝
¿¿¿ ¿
Masukkan Persamaan (2) dan (4) ke persamaan (3), sehingga,
Fs harus dicoba keduanya (Trial & Error)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
𝐹 𝑠=∑𝑛=1
𝑛=𝑝
¿¿¿ ¿
Misal ΔT = 0, maka Persamaan (5) menjadi,
(6)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Xstabl
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Contoh Data Tanah
No Parameter Tanah Kedalaman (m)
0-2 2-4 4-6
1 Berat Volume ( t/m3) 1.6 1.8 1.8
2 Kohesi ( t/m2) 0.7 0.2 0.2
3 Sudut Geser Dalam 10.2 22.09 22.09
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Contoh Data Timbunan
H = 6 meter
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl
Diganti Metric (Menunjukkan Satuan)
1. Buka Program Xstable
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl2. Memasukkan segmen tanah dan soil unit
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl3. Setelah input segmen dan soil unit, maka hasilnya sebagai berikut :
Segmen
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl4. Lanjutkan lagi untuk input data segmen pada tanah dibawah timbunan (subsurface)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl5. Isikan data setiap segment number dan jenis tanahnya
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl
6. Selanjutnya akan didapat tampilan sebagai berikut
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl
Nomor Soil Unit
12
43
5
Segmen
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl
7. Selanjutnya input parameter data tanah dan timbunan yang diketahui
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input Data ke Program Xstabl
Tampilan hasil input parameter tanah
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
8. Isi data permukaan airnya, maka secara otomatis akan muncul seperti berikut ini
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
8. Type of water surface dipilih “Phreatic”
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
9. Diasumsikan MAT sepanjang soil unit 1, sehingga x coord dan y coord diisi sesuai segmen soil unit 1
1
SegmenSoil unit
MAT sepanjang soil unit 1
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input data untuk x coord dan y coord pada water surface
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
10. Selanjutnya menganalisis bidang kelongsoran pada data tanah yang telah diinput
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Input data pada analisis circular surface
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Termination Points
Initiation Points
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
11. Setelah itu masukkan beban dengan asumsi beban 10 kpa
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
12. Setelah meng input semua data , selanjut me run program xstabl (Stability Analysis)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Hasilnya...
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Hasilnya...
Beban
Hasil input Initatiation & Termination Points (Bentuk bidang longsornya)
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Sehingga didapat nilai FS
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
Nilai FS = 0,904
Hasil output dari program xstabl untuk mengetahui hasil analisisnya dapat dilihat disini
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SLOPE STABILITY
Mata kuliah TIMBUNAN DAN KONSTRUKSI PENAHAN TANAH (RC14-1354)
TERIMA KASIH