Chapter 3, Problem 3.15P

### 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

# 3.14 For a given soil, the following are known: Gs = 2.74, moist unit weight, γ = 20.6 kN/m3, and moisture content, w = 16.6%. Determine:a. Dry unit weightb. Void ratioc. Porosityd. Degree of saturationRefer to Problem 3.14. Determine the mass of water, in kg, to be added per cubic meter (m3) of soil fora. 90% degree of saturationb. 100% degree of saturation

(a)

To determine

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

Explanation

Given information:

The specific gravity of the soil solids (Gs) is 2.74.

The moisture content (w) is 16.6%.

The moist unit weight of soil (γ) is 20.6kN/m3.

The degree of saturation (S) is 90%.

Calculation:

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

Calculate the dry unit weight of the soil (γd) using the relation.

γd=γ1+w

Substitute 20.6kN/m3 for γ and 16.6% for w.

γd=20.61+16.6100=20.61.166=17.67kN/m3

Calculate the void ratio (e) using the relation.

e=Gsγwγd1

Substitute 2.74 for Gs, 17.67kN/m3 for γd, and 9.81kN/m3 for γw.

e=2.74×9.8117.671=26.879417.671=1

(b)

To determine

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

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