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Principles of Geotechnical Enginee...

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

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

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

images

Figure 15.47

To determine

Find the factor of safety Fs for the infinite slope.

Explanation

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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