Chapter 13, Problem 13.19P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

**13.17 through 13.19** A retaining wall is shown in Figure 13.41. For each problem, determine the Rankine active force, *P _{a}*, per unit length of the wall and the location of the resultant.

**Figure 13.41**

To determine

Find the Rankine active force

Explanation

**Given information:**

The height (*H*) of the retaining wall is 12 m.

The depth

The unit weight

The sand friction angle

The cohesion

The surcharge pressure (*q*) is

The depth

The saturated unit weight

The saturated sand friction angle

The cohesion

**Calculation:**

For sand:

Determine the active earth pressure coefficient

Substitute

For saturated sand:

Determine the active earth pressure coefficient

Substitute

Determine the total stress

Substitute *q*.

Determine the pore water pressure at 0 m depth using the relation.

Here,

Take the unit weight of the water as

Substitute *h*.

Determine the effective active earth pressure

Substitute

Determine the total stress (sand)

Substitute *q*,

Determine the total stress (saturated sand)

Substitute *q*,

Determine the pore water pressure at 3.0 m depth using the relation.

Substitute *h*.

Determine the effective active earth pressure (sand)

Substitute

Determine the effective active earth pressure (saturated sand)

Substitute

Determine the total stress

Substitute

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