Chapter 9, Problem 9.2P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

**9.1 Through 9.3** A soil profile consisting of three layers is shown in Figure 9.25. Calculate the values of *σ*, *u*, and *σ*′ at points *A*, *B*, *C*, and *D* for the following cases. In each case, plot the variations of *σ*, *u*, and *σ*′ with depth. Characteristics of layers 1, 2, and 3 for each case are given below:

**Figure 9.25**

To determine

Find the total stress *A*, *B*, *C*, and *D* and plot the variations of total stress, pore water pressure, and effective stress.

Explanation

Given information:

The thickness

The thickness

The thickness

The void ratio (*e*) of soil in the first layer is 0.7.

The specific gravity

The void ratio (*e*) of soil in the second layer is 0.55.

The specific gravity

The water content (*w*) of the soil in the third layer is 38 %.

The void ratio (*e*) of the soil in the third layer is 1.2.

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 *e*.

Determine the saturated unit weight

Substitute *e*, and 38 % for *w*.

Calculate the total stress at point *A* (0 m).

Thus, the total stress at point *A* is

Calculate the pore water pressure at point *A* (0 m).

Thus, the pore water pressure at point *A* is

Calculate the effective stress at point *A* (0 m) using the relation.

Substitute 0 for *u*.

Thus, the effective stress at point *A* is

Calculate the total stress at point *B* (5 m) using the relation.

Substitute

Thus, the total stress at point *B* is

Calculate the pore water pressure at point *B* (5 m) using the relation.

Thus, the pore water pressure at point *B* is

Calculate the effective stress at point *B* (5 m) using the relation.

Substitute *u*.

Thus, the effective stress at point *B* is

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