What is the factor of safety of a slope behind a geomembrane-lined pond when it is empty if the soil fails under undrained conditions? The slope is 3H to 1V, 7.5-meters deep, and will be of the toe failure type (i.e., n = 1.0). The soil’s unconfined compressive strength is qu = 35 kN/m2 (note that qu = 2c) and its unit weight is 18 kN/m3. Show your work!

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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  1. What is the factor of safety of a slope behind a geomembrane-lined pond when it is empty if the soil fails under undrained conditions? The slope is 3H to 1V, 7.5-meters deep, and will be of the toe failure type (i.e., n = 1.0). The soil’s unconfined compressive strength is qu = 35 kN/m2 (note that qu = 2c) and its unit weight is 18 kN/m3. Show your work!

 

**HINT: you will need to reference the figure below for your Ns value for “soils whose strength can be approximated by undrained conditions”.

 

0.19
B = 53°
0.18
B = 45°
0.17
k = 3
30°
0.16
22.5°
2
0.15 -
0.14
0.13 -
Case 1
0.12
kH
H.
nH
D
0.11
Case 2-
0.10
nH
0.09
1
3
D + H
H
Figure 5.23 Stability curves for soils whose strength can be approximated by
undrained conditions. (After Taylor [47])
15°
H^12 = $N
I
B = 7.5°
k = 0
4)
Transcribed Image Text:0.19 B = 53° 0.18 B = 45° 0.17 k = 3 30° 0.16 22.5° 2 0.15 - 0.14 0.13 - Case 1 0.12 kH H. nH D 0.11 Case 2- 0.10 nH 0.09 1 3 D + H H Figure 5.23 Stability curves for soils whose strength can be approximated by undrained conditions. (After Taylor [47]) 15° H^12 = $N I B = 7.5° k = 0 4)
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