   Chapter 14, Problem 14.3P Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

Solutions

Chapter
Section Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

Refer to the retaining wall in Problem 14.1. Estimate the passive force, Pp, per unit length of the wall using Zhu and Qian’s (2000) method of triangular slices. Use Eq. (14.18).14.1 A retaining wall has a vertical back face with a horizontal granular backfill. Given: H = 6 m, γ = 18.5 kN/m3, ϕ ′ = 40 ° , and δ ′ = 1 2 ϕ ′ . Estimate the passive force, Pp, per unit length of the wall using Terzaghi and Peck’s (1967) wedge theory (Figure 14.4).

To determine

Find the passive force Pp per unit length of the wall using Zhu and Qian’s method of triangular slices.

Explanation

Given information:

The height (H) of the retaining wall is 6.0 m.

The soil friction angle ϕ is 40°.

The unit weight γ of the granular backfill is 18.5kN/m3.

The equation for the angle of wall friction δ is 12ϕ.

Calculation:

Determine the angle of wall friction δ using the relation.

δ=12ϕ

Substitute 40° for ϕ.

δ=12(40°)=20°

Calculate passive force Pp per unit length of the wall using Zhu and Qian’s method of triangular slices.

Pp=12KpγH2

Here, Kp is the passive earth pressure coefficient.

Refer Table (14.4) “Variation of Kp=Kp(δ=0) and Figure 14.3a” in the text book.

Take the passive earth pressure coefficient Kp=Kp(δ=0) for the soil having friction angle of 40° and the angle of 0° as 4

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