Module 2 : Theory of Earth Pressure and Bearing Capacity
Lecture 6 : Introduction[ Section 6.2 Displacement Related Earth Pressure]
   
I. Translation
  The fig. 2.5 (a) shows a rigid retaining wall of height D. The amount of displacement is denoted by , which is independent of depth z. The steps followed are,
The experimental observations by Sherif et al (1984) and Fang et al (1986) are used. At various depths, for different wall movements, normal active earth pressure is noted from experimental curves.
 
The mobilized active earth pressure coefficient at any depth z is calculated as Where is the measured normal pressure at any depth z and is unit weight of soil.
 
Along the depth, average is calculated and denoted by . Some abnormal values very near to ground are neglected because of the arching action and also some experimental error near the ground as reported by the experimentalists in their paper.
 
Using Coulomb's active earth pressure coefficient (Bowles, 1996), mobilized friction angle is obtained corresponding to .
 
The above procedure is repeated for various values of . In table 2.1, a typical calculation is shown.
 
Table 2.1 : Typical calculation to obtain mobilized friction angle in translation mode (Data from Fang et al, 1986),
 

Depth z in m

Horizontal active earth pressure in
kN/m 2

values


(neglecting value)

Calculated
(Degrees)

Corrected

(Degrees)

0

0

-

-
-
-

0.153

1.166

0.497

-
-
-

0.305

1.114

0.237

-
-
-

0.467

1.531

0.213

-
-
-

0.628

2.353

0.243

0.204

38.29 0

34 0

0.793

2.281

0.187

-
-
-

0.958

2.541

0.172

-
-
-

1.016

2.645

0.169

-
-
-
 
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