Chapter 3, Problem 3.1P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

For a given soil, show that,

**a.**

**b.**

**c.**

**d.**

(a)

To determine

Show that

Explanation

Express the formula for saturated unit weight

Here, *e* is the void ratio, and

Rearrange equation (1) as shown below.

Here,

Substitute

Hence, the saturated unit weight of the soil

(b)

To determine

Show that

Explanation

Express the formula for dry unit weight of the soil

Here,

Express the relation between specific gravity of soil solids *S*), void ratio (*e*) and moisture content (*w*) as shown below.

Substitute

Hence, the dry unit weight of the soil

(c)

To determine

Show that

Explanation

Refer to part (a).

The saturated unit weight of the soil

Rearrange Equation as shown below.

Hence, the void ratio

(d)

To determine

Show that

Explanation

Express the formula for saturated unit weight

Express the formula for specific gravity of soil solids

The degree of saturation

Substitute 1 for *S*.

Substitute

Here,

Substitute *n* for

Hence, the moisture content

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