Chapter 9, Problem 9.5P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Consider the soil profile shown in Figure 9.26:

**a.** Calculate the variations of *σ*, *u*, and *σ*′ at points *A*, *B*, and *C*.

**b.** How high should the groundwater table rise so that the effective stress at *C* is 111 kN/m^{2}?

**Figure 9.26**

a)

To determine

Find the variation of total stress *u*), and the effective stress *A*, *B*, and *C*.

Explanation

**Given information:**

The thickness

The specific gravity

The void ratio (*e*) of the dry sand is 0.61.

The thickness

The specific gravity

The void ratio (*e*) of the saturated sand is 0.48.

**Calculation:**

Determine the dry unit weight

Here,

Take the unit weight of the water as

Substitute 2.66 for *e*.

Determine the saturated unit weight

Substitute 2.67 for *e*.

Calculate the total stress at point *A* using the relation.

Thus, the total stress at point *A* is

Calculate the pore water pressure at point *A* using the relation.

Thus, pore water pressure at point *A* is

Calculate the effective stress at point *A* using the relation.

Substitute 0 for *u*.

Thus, effective stress at point *A* is

Calculate the total stress at point *B* using the relation.

Substitute

b)

To determine

Find the rise of water table to increase the effective stress at point *C* is equal to

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