 # Determine the factor of safety, F s , for the infinite slope shown in Figure 15.47, where seepage is occurring through the soil and the groundwater table coincides with the ground surface. Given: H = 6 m, β = 22°, γ sat = 20.8 kN/m 3 , ϕ ′ = 26 ° , and c ′ = 52 kN/m 2 . Figure 15.47 ### Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
Publisher: Cengage Learning
ISBN: 9781305970939 ### Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
Publisher: Cengage Learning
ISBN: 9781305970939

#### Solutions

Chapter
Section
Chapter 15, Problem 15.3P
Textbook Problem

## Determine the factor of safety, Fs, for the infinite slope shown in Figure 15.47, where seepage is occurring through the soil and the groundwater table coincides with the ground surface. Given: H = 6 m, β = 22°, γsat = 20.8 kN/m3, ϕ ′ = 26 ° , and c′ = 52 kN/m2. Figure 15.47

Expert Solution
To determine

Find the factor of safety Fs for the infinite slope.

### Explanation of Solution

Given information:

The slope rise at an angle β with the horizontal line is 22°.

The saturated unit weight γsat of the soil is 20.8kN/m3.

The height (H) of the soil is 6 m.

The angle of friction ϕ is 26°.

The cohesion c is 52kN/m2.

Calculation:

Determine the submerged unit weight γ of the soil using the relation.

γ=γsatγw

Here, γw is the unit weight of the water.

Take the unit weight of the water as 9.81kN/m3.

Substitute 20.8kN/m3 for γsat and 9.81kN/m3 for γw.

γ=20.89.81=10.99kN/m3

Determine the factor of safety of the infinite slope using the formula

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