Chapter 13, Problem 13.4P

### 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

# 13.1 through 13.4 Figure 13.39 shows a retaining wall that is restrained from yielding. For each problem, determine the magnitude of the lateral earth force per unit length of the wall. Also, find the location of the resultant, z ¯ , measured from the bottom of the wall.Figure 13.39

To determine

Find the magnitude of the lateral earth forces Po per unit length of the wall and find the location z¯ of the resultant measured from the bottom of the wall.

Explanation

Given information:

The height (H) of the retaining wall is 16 ft.

The soil friction angle ϕ is 41°.

The angle of wall friction δ is 0.

The unit weight γ of the sand is 118lb/ft3

The over-consolidation ratio (OCR) is 1.0.

Calculation:

Calculate the earth pressure coefficient (Ko) using the relation.

Ko=(1sinϕ)(OCR)sinϕ

Substitute 41° for ϕ and 1.0 for OCR.

Ko=(1sin41°)(1.0)sin41°=0.34394×1.0=0.344

Calculate the total force per unit length (Po) using the relation.

Po=12KoγH2

Substitute 0

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