Chapter 4, Problem 4.2CTP

### Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

Chapter
Section

### Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

# Liquidity index, LI, defined by Eq. (4.26), can indicate probable engineering behavior depending on the natural or current state of moisture content. For example, the material behavior can vary from a brittle solid (LI < 1) to viscous fluid (LI > 1), with an intermediate plastic state (0 < LI < 1). From the plasticity characteristics and ranges of moisture contents listed in the following table,a. Determine the range of liquidity index for each soil over the range of moisture content.b. Comment on the probable engineering behavior of each soil as the moisture content changes (refer to Figure 4.1).

(a)

To determine

The range of liquidity index for each soil over the range of moisture content.

Explanation

Given information:

The liquidity index for a brittle solid is less than 1 (LI<1).

The liquidity index for a viscous fluid is greater than 1 (LI>1).

The range of liquidity index for an intermediate plastic state is (0<LI<1).

Calculation:

Determine the liquidity index for soil 1 for minimum moisture content using the relation.

LI=wminPLLLPL

Here, wmin is the minimum range of moisture content, PL is the plastic limit, and LL is the liquid limit.

Substitute 59 % for wmin, 26 % for PL, and 49 % for LL.

LI=59264926=1.43

Determine the liquidity index for soil 1 for maximum moisture content using the relation.

LI=wmaxPLLLPL

Here, wmax is the maximum range of moisture content

(b)

To determine

Find the probable engineering behaviour of each soil as the moisture content changes.

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