Water Content given Dry Unit Weight and Percentage of Air Voids Calculator

✖Percentage of Air Voids in the soil is obtained by dividing the volume of air to the total volume.ⓘ Percentage of Air Voids [n_a]			+10% -10%
✖Specific Gravity of Soil is defined as the ratio of the weight of a given volume of soil solids to the weight of an equal volume of water at a specified temperature (usually 4°C).ⓘ Specific Gravity of Soil [G_s]			+10% -10%
✖Unit Weight of Water is the weight per unit volume of water.ⓘ Unit Weight of Water [γ_water]			+10% -10%
✖Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.ⓘ Dry Unit Weight [γ_dry]			+10% -10%

✖Water Content is the ratio of the weight of water to the weight of dry soil.ⓘ Water Content given Dry Unit Weight and Percentage of Air Voids [ω]

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Water Content given Dry Unit Weight and Percentage of Air Voids Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Content = ((1-Percentage of Air Voids)*Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1/Specific Gravity of Soil
ω = ((1-n_a)*G_s*γ_water/γ_dry)-1/G_s
This formula uses 5 Variables

Variables Used

Water Content - Water Content is the ratio of the weight of water to the weight of dry soil.
Percentage of Air Voids - Percentage of Air Voids in the soil is obtained by dividing the volume of air to the total volume.
Specific Gravity of Soil - Specific Gravity of Soil is defined as the ratio of the weight of a given volume of soil solids to the weight of an equal volume of water at a specified temperature (usually 4°C).
Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is the weight per unit volume of water.
Dry Unit Weight - (Measured in Newton per Cubic Meter) - Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.

STEP 1: Convert Input(s) to Base Unit

Percentage of Air Voids: 0.2 --> No Conversion Required
Specific Gravity of Soil: 2.65 --> No Conversion Required
Unit Weight of Water: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Dry Unit Weight: 6.12 Kilonewton per Cubic Meter --> 6120 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = ((1-n_a)*G_s*γ_water/γ_dry)-1/G_s --> ((1-0.2)*2.65*9810/6120)-1/2.65

Evaluating ... ...

ω = 3.02087680355161

STEP 3: Convert Result to Output's Unit

3.02087680355161 --> No Conversion Required

FINAL ANSWER

3.02087680355161 ≈ 3.020877 <-- Water Content

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Relationships of Weights and Volumes in Soils » Water Content and Volume of Solids in Soil » Water Content given Dry Unit Weight and Percentage of Air Voids

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Water Content and Volume of Solids in Soil Calculators

Total Mass of Soil

LaTeX Go Total Mass of Sand in Soil Mechanics = (Water Content of Soil from Pycnometer*Weight of Solids in Soil Mechanics/100)+Weight of Solids in Soil Mechanics

Mass of Water given Water Content with respect to Mass of Water

LaTeX Go Weight of Water in Soil Mechanics = Water Content of Soil from Pycnometer*Weight of Solids in Soil Mechanics/100

Dry Mass given Water Content with respect to Mass of Water

LaTeX Go Weight of Solids in Soil Mechanics = Weight of Water in Soil Mechanics*100/Water Content of Soil from Pycnometer

Volume of Solids given Density of Solids

LaTeX Go Volume of Solids in Soil = Weight of Solids in Soil Mechanics/Dry Density

Water Content given Dry Unit Weight and Percentage of Air Voids Formula

LaTeX Go

Water Content = ((1-Percentage of Air Voids)*Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1/Specific Gravity of Soil
ω = ((1-n_a)*G_s*γ_water/γ_dry)-1/G_s

What is Percentage of Air Voids?

Percentage of air voids in the soil is obtained by dividing the volume of air to the total volume. This is expressed in percentage. When the soil is fully saturated, the percentage of air voids is equal to zero.

How to Calculate Water Content given Dry Unit Weight and Percentage of Air Voids?

Water Content given Dry Unit Weight and Percentage of Air Voids calculator uses Water Content = ((1-Percentage of Air Voids)*Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1/Specific Gravity of Soil to calculate the Water Content, The Water Content given Dry Unit Weight and Percentage of Air Voids formula is defined as the amount of water present in soil, expressed as a percentage of the dry weight of the soil, considering dry unit weight and percentage air voids. Water Content is denoted by ω symbol.

How to calculate Water Content given Dry Unit Weight and Percentage of Air Voids using this online calculator? To use this online calculator for Water Content given Dry Unit Weight and Percentage of Air Voids, enter Percentage of Air Voids (n_a), Specific Gravity of Soil (G_s), Unit Weight of Water (γ_water) & Dry Unit Weight (γ_dry) and hit the calculate button. Here is how the Water Content given Dry Unit Weight and Percentage of Air Voids calculation can be explained with given input values -> 3.020877 = ((1-0.2)*2.65*9810/6120)-1/2.65.

FAQ

What is Water Content given Dry Unit Weight and Percentage of Air Voids?

The Water Content given Dry Unit Weight and Percentage of Air Voids formula is defined as the amount of water present in soil, expressed as a percentage of the dry weight of the soil, considering dry unit weight and percentage air voids and is represented as ω = ((1-n_a)*G_s*γ_water/γ_dry)-1/G_s or Water Content = ((1-Percentage of Air Voids)*Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1/Specific Gravity of Soil. Percentage of Air Voids in the soil is obtained by dividing the volume of air to the total volume, Specific Gravity of Soil is defined as the ratio of the weight of a given volume of soil solids to the weight of an equal volume of water at a specified temperature (usually 4°C), Unit Weight of Water is the weight per unit volume of water & Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.

How to calculate Water Content given Dry Unit Weight and Percentage of Air Voids?

The Water Content given Dry Unit Weight and Percentage of Air Voids formula is defined as the amount of water present in soil, expressed as a percentage of the dry weight of the soil, considering dry unit weight and percentage air voids is calculated using Water Content = ((1-Percentage of Air Voids)*Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1/Specific Gravity of Soil. To calculate Water Content given Dry Unit Weight and Percentage of Air Voids, you need Percentage of Air Voids (n_a), Specific Gravity of Soil (G_s), Unit Weight of Water (γ_water) & Dry Unit Weight (γ_dry). With our tool, you need to enter the respective value for Percentage of Air Voids, Specific Gravity of Soil, Unit Weight of Water & Dry Unit Weight and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Water Content?

In this formula, Water Content uses Percentage of Air Voids, Specific Gravity of Soil, Unit Weight of Water & Dry Unit Weight. We can use 3 other way(s) to calculate the same, which is/are as follows -

Water Content = Void Ratio*Degree of Saturation/Specific Gravity of Soil
Water Content = Void Ratio/Specific Gravity of Soil
Water Content = ((Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1)/Specific Gravity of Soil

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