Chapter 15, Problem 15.18P

### 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

# Refer to Figure 15.12. Determine the height of a slope (1 vertical to 3 horizontal) in saturated clay with an undrained shear strength of 1250 lb/ft2 and a unit weight of 122 lb/ft3. The desired factor of safety against sliding is 2.75. Given is the depth function, D = 2.0.

To determine

Find the maximum height of a slope.

Explanation

Given information:

The undrained cohesion cu is 1,250lb/ft2.

The unit weight γ is 122lb/ft3.

The factor of safety Fs is 2.75.

The inclination β angle is 1 vertical to 3 horizontal.

The depth function D is 2.0.

Calculation:

Determine the inclination angle β using the relation.

β=tan1(13)=18.43°

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

cd=cuFs

Substitute 1,250lb/ft2 for cu and 2.75 for Fs.

cd=1,2502

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