Consider a slope given below with 10 slices, which has a circular failure surface. Each slice has 5 meters wide, and the weight of each slice was  estimated on the basis of average height and a unit weight of soil ? = 16 kN/m3. The shear strength of the soil is assumed to be ? = 20 kPa and ? = 20°. The pertinent data for these ten slices is given in the table below. a) Determine the factor of safety using Janbu’s simplified method by assuming the initial  ?? = ?. ?.    b) Discuss how the factor of safety (stability of the Slope) will change due to the rainfall. You start to consider what environmental conditions will change first.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Consider a slope given below with 10 slices, which has a circular failure surface. Each slice has 5 meters wide, and the weight of each slice was  estimated on the basis of average height and a unit weight of soil ? = 16 kN/m3. The shear strength of the soil is assumed to be ? = 20 kPa and ? = 20°. The pertinent data for these ten slices is given in the table below.

a) Determine the factor of safety using Janbu’s simplified method by assuming the initial  ?? = ?. ?.   

b) Discuss how the factor of safety (stability of the Slope) will change due to the rainfall. You start to consider what environmental conditions will change first. 

center
Radius, R
10
5
2 3
10 slices
41
Transcribed Image Text:center Radius, R 10 5 2 3 10 slices 41
Width
Height
Weight
(kN)
Slice
(m)
(m)
(kPa)
(deg)
(deg)
5.0
2.0
160.0
20.0
20.0
-19.2
-114
20.0
2
5.0
6.0
480.0
20.0
5.0
5.0
5.0
9.0
720.0
20.0
20.0
-3.8
11.5
13.5
4
920.0
20.0
20.0
3.8
11.4
19.2
5
1,080.0
20.0
20.0
5.0
14.5
1,160.0
1,200.0
1,160.0
20.0
20.0
7
5.0
15.0
20.0
20.0
27.4
8
5.0
14.5
20.0
20.0
36.2
9
5.0
12.0
960.0
20.0
20.0
46.2
10
5.0
5.0
400.0
20.0
20.0
58.6
Transcribed Image Text:Width Height Weight (kN) Slice (m) (m) (kPa) (deg) (deg) 5.0 2.0 160.0 20.0 20.0 -19.2 -114 20.0 2 5.0 6.0 480.0 20.0 5.0 5.0 5.0 9.0 720.0 20.0 20.0 -3.8 11.5 13.5 4 920.0 20.0 20.0 3.8 11.4 19.2 5 1,080.0 20.0 20.0 5.0 14.5 1,160.0 1,200.0 1,160.0 20.0 20.0 7 5.0 15.0 20.0 20.0 27.4 8 5.0 14.5 20.0 20.0 36.2 9 5.0 12.0 960.0 20.0 20.0 46.2 10 5.0 5.0 400.0 20.0 20.0 58.6
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