Chapter 15, Problem 15.5P

### 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

# 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 factor of safety against sliding on the rock surface.

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.

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 factor of safety against sliding on the rock surface using the formula

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