Chapter 15, Problem 15.10P

### 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 finite slope shown in Figure 15.50, assume that the slope failure would occur along a plane (Culmann’s assumption). Find the height of the slope for critical equilibrium. Given: β = 49°, γ = 17.6 kN/m3, ϕ ′ = 19 ° , and c′ = 42 kN/m2.Figure 15.50

To determine

Find the height Hcr of the slope for critical equilibrium.

Explanation

Given information:

The slope with an inclination β is 49°.

The angle of friction ϕ is 19°.

The cohesion c is 42kN/m2.

The unit weight γ of the soil is 17.6kN/m3.

Calculation:

Determine the height Hcr of the slope for critical equilibrium using the formula.

Hcr=4cγ[sinβcosϕ1cos(βϕ)]

Substitute 42kN/m2 for c, 17

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