Chapter 13, Problem 13.20P

Fundamentals of Geotechnical Engin...

5th Edition
Braja M. Das + 1 other
ISBN: 9781305635180

Chapter
Section

Fundamentals of Geotechnical Engin...

5th Edition
Braja M. Das + 1 other
ISBN: 9781305635180
Textbook Problem

Refer to Figure 13.38. Use Taylor’s chart for ϕ ′ > 0 (Figure 13.17) to find the critical height of the slope in each case:a. n′ = 2, ϕ ′ = 15 ° , c′ = 31.1 kN/m2, and γ = 18.0 kN/m3b. n′ = 1, ϕ ′ = 25 ° , c′ = 24 kN/m2, and γ = 18.0 kN/m3c. n′ = 2.5, ϕ ′ = 12 ° , c′ = 25 kN/m2, and γ = 17 kN/m3d. n′ = 1.5, ϕ ′ = 18 ° , c′ = 18 kN/m2, and γ = 16.5 kN/m3FIG. 13.38

(a)

To determine

Find the critical height of the slope.

Explanation

Given information:

The bed slope (n) is 2.

The angle (ϕ) of friction is 15°.

The cohesion (c) is 31.1kN/m2.

The unit weight of the soil (γ) is 18.0kN/m3.

Calculation:

Calculate slope angle (β) using the equation:

β=tan1(1n)

Substitute 2 for n.

β=tan1(12)=26.57°

Find the Taylor’s stability number (m).

Refer Figure 13.17, “Taylor’s stability number” in the textbook

(b)

To determine

Find the critical height of the slope.

(c)

To determine

Find the critical height of the slope.

(d)

To determine

Find the critical height of the slope.

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