Chapter 15, Problem 15.16P

### Principles of Geotechnical Enginee...

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

Chapter
Section

### Principles of Geotechnical Enginee...

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

# For the cut slope described in Problem 15.15, how deep should the cut be made to ensure a factor of safety of 3.0 against sliding?15.15 A cut slope is to be made in a saturated clay at an angle β = 60° with the horizontal. Assuming that the critical sliding surface is circular, determine the maximum depth up to which the cut could be made. Given: undrained shear strength, cu = 34 kN/m2 ( ϕ = 0 condition), and γ = 17 kN/m3. What is the nature of the critical circle (toe, slope, or midpoint)?

To determine

Find the maximum depth of cut to ensure a factor of safety of 3.0 against sliding.

Explanation

Given information:

The angle of friction ϕ is 0°.

The undrained cohesion cu is 34kN/m2.

The inclination β angle is 60°.

The unit weight γ of the saturated clay is 17kN/m3.

The factor of safety Fs is 3.0.

Calculation:

Determine the cd cohesion developed by the critical circle using the formula.

cd=cuFs

Substitute 34kN/m2 for cu and 3.0 for Fs.

cd=343.0=11

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