Chapter 13, Problem 13.22P

### 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

# For the data given in Problem 13.21, determine the Rankine passive force, Pp, per unit length of the wall, and its location and direction.13.21 Figure 13.13 shows a frictionless wall with a sloping granular backfill. Given: H = 7 m, α = 12°, ϕ ′ = 28°, and γ = 18.6 kN/m3.a. Determine the magnitude of active pressure, σ ′ a , at the bottom of the wall.b. Determine Rankine active force, Pa, per unit length of the wall and its location and direction.Figure 13.13 Frictionless vertical retaining wall with sloping backfill

(a)

To determine

Find the magnitude of active pressure σa at the bottom of the wall.

Explanation

Given information:

The height (H) of the retaining wall is 7.0 m.

The soil friction angle ϕ is 28°.

The angle α is 12°.

The unit weight γ of the backfill is 18.6kN/m3.

Calculation:

Determine the passive earth pressure coefficient Kp using the formula.

Kp=cosαcosα+cos2(α)cos2(ϕ)cosαcos2(α)cos2(ϕ)

Substitute 12° for α and 28° for ϕ

(b)

To determine

Find the Rankine active force Pa per unit length of the wall and its location and direction.

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