Chapter 7, Problem 7.20P

### 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

# Estimate the hydraulic conductivity of a saturated clay having a clay-size fraction, CF = 42%, and plasticity index, PI = 27%. Given: γsat = 18.8 kN/m3 and Gs = 2.73. Use Tavenas et al.’s (1983) method illustrated in Figure 7.15.

To determine

Find the hydraulic conductivity of the saturated clay.

Explanation

Given information:

The value of clay size fraction CF is 42 %.

The plasticity index value PI is 27 %.

The saturated unit weight of the clay γsat is 18.8kN/m3.

The specific gravity of the clay (Gs) is 2.73.

Calculation:

Determine the value of (CF+PI).

Substitute 42 % for CF and 27 % for PI.

CF+PI=42100+27100=0.69

Determine the void ratio (e) using the relation.

γsat=Gs+e1+eγw

Here, γw is the unit weight of water.

Take unit weight of water as 9.81kN/m3.

Substitute 18.8kN/m3 for γsat, 2.73 for Gs, and 9.81kN/m3 for γw.

18.8=(2.73+e1+e)9

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