Chapter 13, Problem 13.20P

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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**

**13.20** For the partially submerged backfill in Problem 13.17 (Figure 13.41), determine the Rankine’s passive force per unit length of the wall and the location of the resultant.

To determine

Find the Rankine passive force

Explanation

**Given information:**

The height (*H*) of the retaining wall is 21 ft.

The depth

The unit weight

The sand friction angle

The cohesion

The surcharge pressure (*q*) is 0.

The depth

The saturated unit weight

The saturated sand friction angle

The cohesion

**Calculation:**

Determine the passive earth pressure coefficient

Substitute

Determine the total stress

Determine the pore water pressure at 0 ft 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

Substitute

Determine the pore water pressure at 4 ft 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

Substitute

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

Substitute *h*.

Determine the effective active earth pressure

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