Adnan Kusuma Putra

1306369415

Mekanika Tanah

Hitung P yang bekerja pada dinding penahan berikut ini:

w = 10 kN/m2

2 eff = 19.2 10 = 9.2 kN/m2

3 eff = 20 10 = 10 kN/m2

Soil Type K0 = 1 - sin Ka = tan2(45 - -

) Kp = 1/Ka

Clay 0.66 0.49 2.04

Sand 1 0.43 0.27 3.69

Sand 2 0.4 0.25 4

1.2 m

3 m

3 m

= 19.2 kN/m2

2 = 35o , c2 = 0

1 = 16.5 kN/m2

1 = 20o , c1 = 20 kN/m2

3 = 20 kN/m2

3 = 37o , c3 = 0 kN/m2

Tekanan Vertikal (Effective active lateral pressure) v = .h Soil Type Kedalaman (m) Tekanan (kN/m2)

Clay 0 0

1.2 16.5 x 1.2 = 19.8

Sand 1 1.2 19.8 + 0 = 19.8

4.2 19.8 + (9.2 x 3) = 47.4

Sand 2 4.2 47.4 + 0 = 47.4

7.2 47.4 + (10 x 3) = 77.4

Tekanan Horizontal h-o = vKo Soil Type Kedalaman (m) Tekanan (kN/m2) Clay 0 0

1.2 19.8 x 0.66 = 13.07

Sand 1 1.2 19.8 x 0.43 = 8.51

4.2 47.4 x 0.43 = 20.38

Sand 2 4.2 47.4 x 0.4 = 18.96

7.2 77.4 x 0.4 = 30.96

Tekanan Aktif h-a = vKa 2c Soil Type Kedalaman (m) Tekanan (kN/m2) Clay 0 0 2x20 = -28

1.2 19.8x0.49 2x20 = -18.3

Sand 1 1.2 19.8 x 0.27 = 5.35

4.2 47.4 x 0.27 = 12.8

Sand 2 4.2 47.4 x 0.25 = 11.85

7.2 77.4 x 0.25 = 19.35

Tekanan Pasif h-p = vKp + 2c Soil Type Kedalaman (m) Tekanan (kN/m2) Clay 0 0 + 2x20 = 57.13

1.2 19.8x2.04 + 2x20 = 97.52

Sand 1 1.2 19.8 x 3.69 = 73.06

4.2 47.4 x 3.69 = 174.91

Sand 2 4.2 47.4 x 4 = 189.6

7.2 77.4 x 4 = 309.6

Tekanan Hidrostatik u Soil Type Kedalaman (m) Tekanan (kN/m2) Clay 0 0

1.2 0

Sand 1 1.2 0

4.2 10 x 3 = 30

Sand 2 4.2 10 x 3 = 30

7.2 10 x 6 = 60

1.2 1.2 1.2

1.2 1.2 1.2

1.2 1.2 1.2

4.2 4.2 4.2

4.2 4.2 4.2

4.2 4.2 4.2

7.2 7.2 7.2

7.2 7.2 7.2

7.2 7.2 7.2

19.8

47.4

77.4 30.96

20.38

13.07

18.96

8.57

30

60

30

60

30

60

5.35

42.8

79.35

41.85

-18.3

-28

5.35

12.8

19.35

-28

57.13

1.2 73.06

189.6 174.91

309.6

-18.3

11.85

57.13

97.52 95.06

204.91

219.6

369.6

Diagram:

Nilai P = Luas total diagram

Pa = -1/2 (28+18.3)(1.2) + 1/2 (5.35+42.8)(3) + 1/2 (41.85+79.35)(3) = 226.25 kN/m

Pp = 1/2 (57.1+97.52)(1.2) + 1/2 (73.06+204.91)(3) + 1/2 (219.6+369.6)(3) = 1393.55 kN/m