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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

A cut slope is planned in a soil having properties as follows: γ = 123 lb/ft3, ϕ = 19 ° , and c′ = 1150 lb/ft2. The cut slope makes an angle 60° with the horizontal. Assuming a planar failure surface, what would be the maximum permissible slope height, H, if the desired factor of safety is 2.5?

To determine

Find the height (H) of the slope if the factor of safety is 2.5.

Explanation

Given information:

The angle of friction ϕ is 19°.

The cohesion c is 1,150lb/ft2.

The factor of safety Fs is 2.5.

The inclination β angle is 60°.

The unit weight γ of the soil is 123lb/ft3.

Calculation:

Determine the cohesion cd develop along the potential failure surface using the relation.

cd=cFs

Substitute 1,150lb/ft2 for c and 2.5 for Fs.

cd=1,1502.5=460lb/ft2

Determine the angle ϕd of friction that develops along the potential failure surface using the relation.

ϕd=tan1(tanϕFs)

Substitute 19° for ϕ and 2.5 for Fs.

ϕd=tan1(tan19°2

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