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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

Refer to Problem 15.18. What is the critical height of the slope? What is the nature of the critical circle?

15.18 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 and the nature of the critical circle.

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 maximum height of the slope using the formula.

H=cuγm

Here, m is the stability number.

Refer Figure (15.12) “Plot of stability number against slope angle” in the text book.

Take the stability number for the inclination β angle of 18

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