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CALCULATION OF ACTIVE & PASSIVE LATERAL EARTH PRESSURE

Water table (m) Total depth of soil (m)


6.3 20

Starting Ending Layer Cohesion Angle of Bulk density Submerged


Layer (C) friction
depth depth thickness density (g') hw
No (g) (kn/m3)
(m) (m) (m) (kn/m )
2
(f) (kn/m3)

1 0 2 2 2 27.7 18.1 8.29 0


2 2 6.3 4.3 2 26.3 18.6 8.79 0
3 6.3 7 0.7 2 26.3 18.6 8.79 0.7
4 7 10.5 3.5 0 32 18.9 9.09 3.5
5 10.5 13.5 3 0 33 19.1 9.29 3
6 13.5 15 1.5 2 27.3 19.5 9.69 1.5
7 15 16 1 0 25 19.5 9.69 1
8 16 20 4 0 28 20 10.19 4
9 0 0 0 0 0 0 -9.81 0
10 0 0 0 0 0 0 -9.81 0

0 2 18.1
2 6.3 18.6
6.3 7 18.6
7 10.5 18.9
10.5 13.5 19.1
13.5 15 19.5
15 16 19.5
16 20 20
0 0 0
EARTH PRESSURE BY RANKINE'S THEORY

Total depth of soil (m) Surcharge (q) (kn/m2) Inclination angle (b) cos(b) Density of water (gw) (kn/m3)
20 0 0 1 9.81

h' ka ka*q (kn/m2) gw*hw ka*g'*hw ka*g*h' 2C√ka (kn/m2)


(kn/m2) (kn/m2) (kn/m2)

2 0.36533492 0 0 0 13.225124 2.4177176736


4.3 0.38593301 0 0 0 30.866922 2.4849402748
0 0.38593301 0 6.867 2.37464581 0 2.4849402748
0 0.30725852 0 34.335 9.77542996 0 0
0 0.29480089 0 29.43 8.21610085 0 0
0 0.37113126 0 14.715 5.39439285 0 2.4368217299
0 0.40585852 0 9.81 3.93276903 0 0
0 0.36103348 0 39.24 14.7157248 0 0
0 1 0 0 0 0 0
0 1 0 0 0 0 0

8.29
8.79
8.79
9.09
9.29
9.69
9.69
10.19
-9.81
ensity of water (gw) (kn/m3)
9.81

Active pressure (Pa) (kn/m2) Active


thrust (F)
(kn/m)
Just above Just below
0 0
10.8074064968 11.48583471 10.8074065
28.38198191245 28.38198191 85.7158057
6.756705539348 6.540325496 12.2985406
44.11042995768 43.71409037 88.638822
37.64610085363 39.77342819 122.040287
17.67257111891 18.0658725 43.0844995
13.74276903172 13.30841446 15.9043208
53.95572478739 80 134.528278
0 0 0
0 0 0

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