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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

Consider the retaining wall shown in Figure 13.42. The height of the wall is 8 m, and the unit weight of the sand backfill is 21.1 kN/m3. Using Coulomb’s equation, calculate the active force, Pa, on the wall for the following values of the angle of wall friction. Also, comment on the direction and location of the resultant. Consider the following two cases of wall friction:

  1. a. δ' = 25°
  2. b. δ' = 19°

images

(a)

To determine

Find the active earth force Pa on the wall and the location z¯ and direction of the resultant.

Explanation

Given information:

The height (H) of the retaining wall is 8.0 m.

The soil friction angle ϕ is 38°.

The angle of wall friction δ is 25°.

The unit weight γ of the sand is 21.1kN/m3.

The cohesion c of the soil is 0.

The angle θ of the wall is 10°.

The angle α is 0.

Calculation:

Calculate the Coulomb’s active earth pressure coefficient (Ka) using the relation.

Ka=cos2(ϕθ)cos2θcos(δ+θ)[1+sin(δ+ϕ)sin(ϕα)cos(δ+θ)cos(θα)]2

Substitute 38° for ϕ, 10° for θ, 25° for δ, and 0 for α.

Ka=cos2(38°10°)cos210°cos(25°+10°)[1+sin(25°+38°)sin(38°0)cos(25°+10°)cos(10°0)]2=0

(b)

To determine

Find the active earth force Pa on the wall and the location z¯ and direction of the resultant.

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