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Engineering
Civil EngineeringPrinciples of Geotechnical Engineering (MindTap Course List)9th Edition

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Chapter 14, Problem 14.1P
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Principles of Geotechnical Enginee...

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

Solutions

Chapter
Section
Problem 14.1P
Problem 14.2P
Problem 14.3P
Problem 14.4P
Problem 14.5P
Problem 14.6P
Problem 14.7P
Problem 14.8P
Problem 14.9P
Problem 14.10P
Problem 14.11P
Problem 14.12P
Problem 14.13P
Problem 14.14P
Problem 14.15P
BuyFindarrow_forward

Principles of Geotechnical Enginee...

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

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 Terzaghi and Peck’s wedge theory.

Answer

The passive force Pp per unit length of the wall using Terzaghi and Peck’s wedge theory is 2,997 kN/m_.

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 18.5 kN/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 Terzaghi and Peck’s wedge theory using the relation.

Pp=12KpγH2

Here, Kp is the passive earth pressure coefficient.

Refer Figure (14.4) “Variation of Kp with ϕ′ and δ′ based on the procedure of Terzaghi and Peck’s” in the text book.

Take the passive earth pressure coefficient for the soil having friction angle of 40° and angle of wall friction of 20° as 9.0.

Substitute 9.0 for Kp, 18.5 kN/m3 for γ, and 6.0 m for H.

Pp=12×9.0×18.5×6.02=5,9942=2,997 kN/m

Thus, the passive force Pp per unit length of the wall using Terzaghi and Peck’s wedge theory is 2,997 kN/m_.

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