Chapter 3, Problem 3.9P

### 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

# Refer to Problem 3.8. Determine the mass of water (in kg) to be added per cubic meter (m3) of soil fora. 90% degree of saturationb. 100% degree of saturation3.8 The dry unit weight of a soil sample is 14.8 kN/m3. Given that Gs = 2.72 and w = 17%, determine:a. Void ratiob. Moist unit weightc. Degree of saturationd. Unit weight when the sample is fully saturated

(a)

To determine

Calculate the mass of water to be added per cubic meter of soil.

Explanation

Given information:

The dry unit weight of soil (γd) is 14.8kN/m3.

The moisture content (w) is 17%.

The specific gravity of the soil solids (Gs) is 2.72.

The degree of saturation (S) is 90%.

Calculation:

Consider the unit weight of water (γw) is 9.81kN/m3.

Calculate the void ratio (e) using the relation.

e=Gsγwγd1

Substitute 2.72 for Gs, 14.8kN/m3 for γd, and 9.81kN/m3 for γw.

e=2.72×9.8114.81=26.683214.81=1.81=0.8

Calculate the moist unit weight of the soil (γ) using the relation.

γ=(1+w1+e)Gsγw

Substitute 17% for w, 0.8 for e, 2.72 for Gs, and 9.81kN/m3 for γw.

γ=(1+171001+0.8)×2

(b)

To determine

Calculate the mass of water to be added per cubic meter of soil.

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