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Fundamentals of Geotechnical Engin...

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

Solutions

Chapter
Section
BuyFindarrow_forward

Fundamentals of Geotechnical Engin...

5th Edition
Braja M. Das + 1 other
Publisher: Cengage Learning
ISBN: 9781305635180
Chapter 14, Problem 14.7P
Textbook Problem
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A 5 m high smooth vertical wall is leaning against a granular soil with γ = 18.5 kN/m3, and ϕ = 34 ° . Determine the location and magnitude of the thrust on the wall for

a. Active state

b. At-rest state

c. Passive state

For Part b, use Eq. (14.3).

(a)

To determine

Find the location and magnitude of the thrust on the wall for active state.

Explanation of Solution

Given information:

The height (H) of the wall is 5 m.

The unit weight (γ) of the soil is 18.5kN/m3.

The angle (ϕ) of friction is 34°.

Calculation:

The lateral earth pressure (σh) varies linearly with depth, starting from zero at the top of the fill.

Find the location of the thrust on the wall for active state using the equation:

z¯=H3

Substitute 5 m for H.

z¯=53=1.67m

Therefore, the location of the thrust on the wall for active state is 1.67m from bottom of the wall_.

Find the active earth pressure coefficient (Ka) using the equation:

Ka=tan2(45°ϕ2)

Substitute 34° for ϕ

(b)

To determine

Find the location and magnitude of the thrust on the wall for at-rest state.

(c)

To determine

Find the location and magnitude of the thrust on the wall for passive state.

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