MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, 9th Edition, [Instant Access], 2 terms (12 months)
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, 9th Edition, [Instant Access], 2 terms (12 months)
9th Edition
ISBN: 9781305971257
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
Question
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Chapter 14, Problem 14.1P
To determine

Find the passive force Pp per unit length of the wall using Terzaghi and Peck’s wedge theory.

Expert Solution & Answer
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Answer to Problem 14.1P

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

Explanation of Solution

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

Pp=12×9.0×18.5×6.02=5,9942=2,997kN/m

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

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