How to Determine Dry Unit Weight and Porosity of a Soil?

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SUMMARY

This discussion focuses on calculating the dry unit weight and porosity of soil using specific parameters. The moist weight of the soil is given as 16.5 kN/m³, with a water content (w) of 15% and specific gravity (Gs) of 2.67. The calculated dry unit weight is 14.35 kN/m³, the porosity is 0.452, the degree of saturation is 48.5%, and the mass of water required to achieve full saturation is 233 kg/m³. These calculations utilize fundamental soil mechanics equations.

PREREQUISITES
  • Understanding of soil mechanics principles
  • Familiarity with specific gravity (Gs) and moisture content (w)
  • Knowledge of unit weight of water (γw = 9.81 kN/m³)
  • Ability to apply formulas for dry unit weight and porosity
NEXT STEPS
  • Study the calculation of degree of saturation using the formula se=wGs
  • Learn about the relationship between void ratio and porosity in soil mechanics
  • Explore methods for determining soil moisture content in field conditions
  • Research the implications of soil density on construction and geotechnical engineering
USEFUL FOR

Geotechnical engineers, civil engineering students, and professionals involved in soil analysis and construction projects will benefit from this discussion.

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Help With Soil Questions...

Homework Statement



Any help will be appreciated.

The moist weight of a soil is 16.5 kN/m^3. Given w = 15% and Gs = 2.67
determine;

(a) dry unit weight
(b) porosity
(c) degree of saturation
(d) mass of water, in kg/m3, to be added to reach full saturation

Answers are;
[14.35 kN/m3, 0.452, 48.5%, 233 kg/m3]

Homework Equations



Note that γ = gamma

The Attempt at a Solution

Here is my attempt at solutions, I'm having trouble with the last 2 questions.

a) dry unit weight

Gs = 2.67
γw = unit weight of water = 9.81
e = 0.826

yd = (Gs * γw * 1) / (1 + e)
γd = (2.67*9.81*1) / 1 + 0.826

= 14.35 kN/m^3
b) Porosityn = e / 1+ e
n = 0.826 / 1 + 0.826
n = 0.452

c) degree of saturation?
d) mass of water, in kg/m3, to be added to reach full saturation
?
Help will be appreciated, thanks.
 
Last edited:
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For part c) use the formula se=wG and then multiply your answer by 100%. You should get the correct answer.
 

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