Chapter 13, Problem 13.25P

### 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

# A 26-ft high retaining wall with a vertical back face has a c ′ − ϕ ′ soil for backfill material. Properties of the backfill material are as follows: γ = 119 lb/ft3, c′ = 1100 lb/ft2, and ϕ ′ = 24 ° . Considering the existence of the tensile crack, determine the Rankine active force, Pa, per unit length of the wall.

To determine

Find the Rankine active axial force Pa per unit length of the wall.

Explanation

Given information:

The height (H) of the retaining wall is 26 ft.

The soil friction angle ϕ is 24°.

The cohesion of the backfill material c is 1,100lb/ft2.

The unit weight γ of the backfill is 119lb/ft3.

Calculation:

Determine the active earth pressure coefficient Ka using the formula.

Ka=tan2(45ϕ2)

Substitute 24° for ϕ.

Ka=tan2(4524°2)=tan2(33)=0.421

Determine the Rankine active force per unit length of the wall using the formula.

Pa=12KaγH22KacH+2c2γ

Substitute 0

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