Chapter 15, Problem 15.6P

### 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 the infinite slope in Problem 15.5. If the factor of safety must be increased to 2.35, what would be the maximum height (H) of the slope?15.5 An infinite slope is shown in Figure 15.48. The shear strength parameters at the interface of soil and rock are ϕ ′ = 23 ° and c′ = 34 kN/m2. Given ρ = 2050 kg/m3. If H = 7 m and β = 25°, find the factor of safety against sliding on the rock surface.Figure 15.48

To determine

Find the maximum height (H) of the slope.

Explanation

Given information:

The height (H) of the soil and rock core is 7.0 m.

The rising slope angle β with the horizontal line is 25°.

The angle of friction ϕ is 23°.

The cohesion c is 34kN/m2.

The density ρ of the soil is 2,050kg/m3.

The factor of safety Fs is 2.35.

Calculation:

Determine the unit weight γ of the soil using the relation.

γ=ρ×g1,000

Here, g is the acceleration due to gravity.

Take the acceleration due to gravity as 9.81m/s2.

Substitute 2,050kg/m3 for ρ and 9.81m/s2 for g.

γ=2,050×9.811,000=20.11kN/m3

Determine the maximum height of the slope using the formula.

Fs=cγHcos2βtanβ+tanϕtanβ

Substitute 2

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