cantilever wall kuliah 12

CANTILEVER WALLCantiliver wall :

ADRIANI FAK. TEKNIK UNLAM

CANTILEVER WALLCantiliver wall seperti gambar dibawah ini :

Koefesien tekanan tanah :

Untuk = 10o; = 20o ka = 0,52

H = 3,5 + 2 tan = 3,5 + 2 tan 10 =3,85 m

Tekanan tanah aktif :Z=0 m a1 = (1,8 x 0 +2 ) x 0,52 2x0,2

0,52 = 0,75 t/m/m

Z=3,85 m a1 = (1,8 x 3,85 +2 ) x 0,52 2x0,2 0,52 = 4,36 t/m/m


q = 2 t/m2

H1)

2

045(tan)

245(tan 22

Kp

CANTILEVER WALLCantiliver wall seperti gambar dibawah ini :

Koefesien tekanan tanah :

Besar tekanan tanah aktif :

Pa1 = 0,75 x 3,85 =2,89 t/m

Pa2 = x3,85x(4,36-0,75) = 6,95 t/m

Pa1v = Pa1 sin = 2,89 x sin 10 = 0,50 t/m

Pa2v = Pa2 sin = 6,95 x sin 10 = 1,21 t/m

Pa1h = Pa1 cos = 2,89 x cos 10 = 2,85 t/m

Pa2h = Pa2 cos = 6,95 x cos 10 = 6,85 t/m

Ph = Pah1 + Pah2 = 9,70 t/m


q = 2 t/m2

H

Pa1

Pa2

CANTILEVER WALLMonen runtuh :Mg1 = Pa1h x H = 2,85 x 3,85/2 = 5,48 tm/mMg2 = Pah2 x H/3 = 6,85 x 3,85/3 = 8,79 tm/mMg = Mg1 + Mg2 = 14,27 tm/m

Mav1 = Pav1 x B = 0,5 x 3,5 = 1,75 tm/mMav2 = Pav2 x B = 1,21 x 3,5 = 4,24 tm/mTekanan tanah Pasif :Z = 0 m a1=(1,6x0+0)x1 + 2x31 = 6 t/m/mZ = 0,5 m a2=(1,6x0,5+0)x1 + 2x0,231 = 6,8 t/m/mTekanan tanah aktif :Pp1 = 6,0 x 0,5 = 3,0 t/mPp2 = (6,8-6,0) x 0,5/2 = 0,20 t/mPp1 + Pp2 = P = 3,20 t/mMomen Pasif :Mp1 = Pai x h3 = 3 x 0,5/2 = 0,75 tm/mMp2 = Pa2 x h4 = 0,20 x 0,5/3 = 0,03 tm/mMp = Mg1 + Mg2 = 0,75 + 0,04 = 0,78 tm/m


CANTILEVER WALLBerat cantiliver wall :

W1 = (1-0,3)x3,0/2 x 2,4 = 2,52 t/m

W2 = 0,3 x 3 x 2,4 = 2,16 t/m

W3 = 2 x 3 x 2,4 = 14,40 t/m

W4 = (3,85-3,5)x2/2x1,8 = 0,63 t/m

W5 = 3,5x0,4 x 2,4 = 3,36 t/m

W = W1 + W2 + W3 + W4 + W5 = 23,07 T/M

Lengan momen thd titik guling :

B1 = 0,5+2/3X(1-0,3) = 0,97 M

B2 = 1,5-0,3/2 = 1,35 M

B3 = 3,5-2/2 =2,5 M

B4 = 3,5-2/3X2 =2,16 M

B5 = 3,5/2 = 1,75 M


W1w2

W3

W4

W5 0,4 m

B1

B2

B3

B4

B5

CANTILEVER WALLMomen tahanan :

Mt1 = W1 x B1 = 2,52 x 0,97 = 2,44TM/M

MT2 = W2 x B2 = 2,16 x 1,35 = 2,92 TM/M

MT3 = W3 x B3 = 14,40 x 2,5 = 36,00 TM/M

MT4 = w4 x B4 = 0,63 x 2,16 = 1,36 TM/M

MT5 = w5 x B5 = 3,36 x 1,75 = 5,88 TM/M

Mav1 = 1,75 tm/m

Mav2 = 4,24 tm/m

MT = MT1 + MT2 + MT3 + MT4 + MT5 + Mav1 + Mav2 = 54,59 TM/M

Kontrol stabilitas :

a. Guling :

SF = (MT+Mp)/Mg = (54,59+0,78)/14,27 =

b. Geser : Aman


40,370,9

20,3103/25,3)203/2tan(07,23'tan

x

P

PLWS

a

p

f

CANTILEVER WALLKontrol stabilitas :

c. Eksentrisitas :

4. Daya dukung tanah :Tergangan yang terjadi maks = W/B + 6M/B

2

maks = 23,07/3,5 x(1+6x-0,03/3,5) = 24,26 ton/m2

min = 23,07/3,5 x(1-6x-0,03/3,5) = 21,88 ton/m2

Daya dukung = qu =

Untuk q = 0o maka Nc = 5,6 ; Nq = 1 ; N = 0

qizin = qu/SF =57,80/2 = 28,90 ton/m2> maks = 24,26 ton/m

2 Aman


62

L

W

MgMtLe

6

5,303,0

07,23

78,027,1459,54

2

5,3

e

NBqNNcq qcu2

1'

2/80,5706,15,32

116,15,07,510 mtonqu

CANTILEVER WALLKontrl potongan titik kritis :

Potongan 1-1 :

1 = 21,88 +(24,26-21,88)/3,5x1,5=22,90 t/m2

M1-1 = 22,90x2x2/2+x(24,26-22,90)x2x2x2/3-W3 x 2/2 W4 x 2/3 x 2 2 x 2,4 x 2/2 = 22,90x2x2/2+x(24,26-22,90)x2x2x2/3-14,4x2/20,63x 2/3x22x0,4x2,4x2/2 = 30,45 tm/m

M2-2 = 21,88x0,5x0,5/2+x0,5x(22,90-21,88)x1/3x0,50,5x0,4x2,4x0,5/2 = 2,66 tm/m


1

12

2

33

21,88

24,26

CANTILEVER WALLKontrl potongan titik kritis :

Potongan 3-3 :Tekanan tanah aktif :

Z=0 m a1 = (1,8 x 0 +2 ) x 0,52 2x0,2 0,52 = 0,75 t/m/m

Z=3,0 m a1 = (1,8 x 3,0 +2 ) x 0,52 2x0,2 0,52 = 3,56 t/m/m

Besar tekanan tanah aktif :

Pa1 = 0,75 x 3,0 =2,25 t/m

Pa2 = x3,0x(3,56-0,75) = 4,22 t/m

Pa1v = Pa1 sin = 2,25 x sin 10 = 0,39 t/m

Pa2v = Pa2 sin = 4,22 x sin 10 = 0,73 t/m

Pa1h = Pa1 cos = 2,25 x cos 10 = 2,22 t/m

Pa2h = Pa2 cos = 4,22 x cos 10 = 4,16 t/m

Ph = Pah1 + Pah2 = 6,38 t/m

Pv = Pav1 + Pav2 = 1,12 t/m

M3-3 = Pav x 1 + Pah1 x x3 + Pah2 x 1/3 x 3 = 1,12 x 1 + 2,22 x 3/2 + 4,16 x 3/3 = 8,61 tm/m


1

12

2

33

21,8824,26

0,75

3,56

CANTILEVER WALLTugas :

a. Tentukan diagraam tekanantanah

b. Tentukan besar tekanan tanah

c. Tentukan besar momen guling

d. Tentukan besar momen tahanan

e. Cek Stabilitas terbadap :

f. Cek Stabilitas terbadap Guling

g. Cek Stabilitas terbadap Geser

h. Cek Stabilitas terbadapEksentrisitas

i. Cek Stabilitas terbadap Dayadukung

j. Hitung momen pada titik kritis


= 0o

cantilever wall kuliah 12

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