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Principles of Geotechnical Enginee...

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

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

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

Refer to the retaining wall shown in Figure 14.19. Given: θ = 10°, α = 0, γ = 122 lb/ft3, ϕ = 35 ° , δ = 21 ° , and H = 18 ft. Estimate the passive force, Pp, per unit length of the wall using Zhu and Qian’s (2000) method of triangular slices.

images

Figure 14.19

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 18 ft.

The soil friction angle ϕ is 35°.

The angle of wall friction δ is 21°.

The given angle θ value is 10°.

The unit weight γ of the granular backfill is 122lb/ft3.

Calculation:

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

Pp=12KpγH2 (1)

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 35° and the angle of 10° as 2.97.

Determine the ratio of angle of wall friction to the soil friction angle.

δϕ=21°35°=0

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