Chapter 6, Problem 6.1P

### 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

# The maximum dry unit weight and the optimum moisture content of a soil are 16.8 kN/m3 and 17%, respectively. If Gs is 2.73, what is the degree of saturation at optimum moisture content?

To determine

Find the degree of saturation at optimum moisture content.

The degree of saturation at optimum moisture content is 78.1%_.

Explanation

Given information:

The maximum dry unit weight of the soil γd is 16.8kN/m3.

The optimum moisture content of the soil w is 17 %.

The specific gravity of soil Gs is 2.73.

Calculation:

Determine the degree of saturation (S) using the relation.

γd=Gsγw1+GswS

Here, γw is the unit weight of water.

Substitute 16.8kN/m3 for γd, 2.73 for Gs, 9.81kN/m3 for γw, and 17 % for w.

16.8=2.73×9.811+2.73×(17100)S1+0.4641S=26.7816.8S1.594S=0.4641

0.594S=0.4641S=0.46410.594S=0.781×100S=78.1%

Therefore, the degree of saturation at optimum moisture content is 78.1%_.

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