Chapter 9, Problem 9.3P

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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 dry unit weight

The saturated unit weight

The saturated unit weight

Calculation:

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* (3 m) using the relation.

Substitute

Thus, the total stress at point *B* is

Calculate the pore water at point *B* (3 m).

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

Calculate the effective stress at point *B* (3 m) using the relation.

Substitute *u*.

Thus, the effective stress at point *B* is

Calculate the total stress at point *C* (9 m) using the relation.

Substitute

Thus, the total stress at point *C* is

Calculate the pore water pressure at point *C* (9 m) using the relation.

Here,

Take the unit weight of the water as

Substitute

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