Chapter 9, Problem 9.13P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

**9.13 Through 9.14** Figure 9.29 shows the zone of capillary rise within a clay layer above the groundwater table. For the following variables, calculate and plot *σ*, *u*, and *σ*′ with depth.

**Figure 9.29**

To determine

Find and plot the total stress, pore water pressure, and effective stress for various depth.

Explanation

**Given information:**

The depth

The specific gravity of the dry sand

The void ratio (*e*) of the dry sand is 0.47.

The depth

The specific gravity of the clay zone

The void ratio (*e*) of the clay zone is 0.68.

The depth

The specific gravity of the clay

The void ratio (*e*) of the clay is 0.89.

The degree of saturation in the capillary zone (*S*) is 40 %.

**Calculation:**

Determine the dry unit weight

Here,

Take the unit weight of the water as

Substitute 2.69 for *e*.

Determine the saturated unit weight

Substitute *S*, and 0.68 for *e*.

Determine the saturated unit weight

Substitute *e*.

Determine the total stress at 0 ft depth using the relation.

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

Determine the effective stress using the relation.

Since, there is no soil and water table in the ground level, the value of total stress, pore water pressure and the effective stress values becomes zero automatically.

Thus, the total stress

Thus, the pore water pressure (*u*) at 0 ft depth is

Thus, the effective stress

Determine the total stress at 10 ft depth using the relation.

Substitute

Determine the pore water pressure at 10 ft depth using the relation.

Here, *h* is the depth of water table.

Substitute *h*, 40 % for *S*, and 8 ft for

Determine the effective stress at 10 ft depth using the relation.

Substitute *u*

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