✖Bulk Unit Weight is the weight of a unit volume of soil. It is a measure of the density of the soil when it is in its natural, undisturbed state.ⓘ Bulk Unit Weight [γ_bulk]			+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%
✖Saturated Unit Weight of Soil is defined as the weight per unit volume of soil when it is fully saturated with water.ⓘ Saturated Unit Weight of Soil [γ_saturated]			+10% -10%

✖Degree of Saturation is the ratio of the volume of water to the volume of voids.ⓘ Degree of Saturation given Bulk Unit Weight and Degree of Saturation [S]

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Formula

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Degree of Saturation given Bulk Unit Weight and Degree of Saturation

Formula

`"S" = ("γ"_{"bulk"}-"γ"_{"dry"})/("γ"_{"saturated"}-"γ"_{"dry"})`

Example

`"2.559792"=("20.89kN/m³"-"6.12kN/m³")/("11.89kN/m³"-"6.12kN/m³")`

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Degree of Saturation given Bulk Unit Weight and Degree of Saturation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Degree of Saturation = (Bulk Unit Weight-Dry Unit Weight)/(Saturated Unit Weight of Soil-Dry Unit Weight)
S = (γ_bulk-γ_dry)/(γ_saturated-γ_dry)
This formula uses 4 Variables

Variables Used

Degree of Saturation - Degree of Saturation is the ratio of the volume of water to the volume of voids.
Bulk Unit Weight - (Measured in Newton per Cubic Meter) - Bulk Unit Weight is the weight of a unit volume of soil. It is a measure of the density of the soil when it is in its natural, undisturbed state.
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.
Saturated Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Saturated Unit Weight of Soil is defined as the weight per unit volume of soil when it is fully saturated with water.

STEP 1: Convert Input(s) to Base Unit

Bulk Unit Weight: 20.89 Kilonewton per Cubic Meter --> 20890 Newton per Cubic Meter (Check conversion here)
Dry Unit Weight: 6.12 Kilonewton per Cubic Meter --> 6120 Newton per Cubic Meter (Check conversion here)
Saturated Unit Weight of Soil: 11.89 Kilonewton per Cubic Meter --> 11890 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (γ_bulk-γ_dry)/(γ_saturated-γ_dry) --> (20890-6120)/(11890-6120)

Evaluating ... ...

S = 2.55979202772964

STEP 3: Convert Result to Output's Unit

2.55979202772964 --> No Conversion Required

FINAL ANSWER

2.55979202772964 ≈ 2.559792 <-- Degree of Saturation

(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 » Degree of Saturation given Bulk Unit Weight and Degree of Saturation

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< 14 Water Content and Volume of Solids in Soil Calculators

Water Content given Dry Unit Weight and Percentage of Air Voids

Go Water Content = ((1-Percentage of Air Voids)*Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1/Specific Gravity of Soil

Degree of Saturation given Dry Unit Weight and Water Content

Go Degree of Saturation = Water Content of Soil from Pycnometer/((Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1)

Water Content given Dry Unit Weight

Go Water Content of Soil from Pycnometer = Degree of Saturation*((Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1)

Total Mass of Soil

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

Water Content given Dry Unit Weight at Full Saturation

Go Water Content = ((Specific Gravity of Soil*Unit Weight of Water/Dry Unit Weight)-1)/Specific Gravity of Soil

Degree of Saturation given Bulk Unit Weight and Degree of Saturation

Go Degree of Saturation = (Bulk Unit Weight-Dry Unit Weight)/(Saturated Unit Weight of Soil-Dry Unit Weight)

Volume of Solids given Dry Unit Weight in Unit Weight of Solids

Go Volume of Solids = Dry Unit Weight*Total Volume in Soil Mechanics/Unit Weight of Solids

Total Volume given Dry Unit Weight in Unit Weight of Solids

Go Total Volume in Soil Mechanics = Unit Weight of Solids*Volume of Solids/Dry Unit Weight

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

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

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

Water Content given Void Ratio in Specific Gravity

Go Water Content = Void Ratio*Degree of Saturation/Specific Gravity of Soil

Volume of Solids given Density of Solids

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

Percentage Air Voids given Porosity

Go Percentage of Air Voids = Porosity in Soil Mechanics*Air Content

Water Content given Void Ratio in Specific Gravity for Fully Saturated Soil

Go Water Content = Void Ratio/Specific Gravity of Soil

Degree of Saturation given Bulk Unit Weight and Degree of Saturation Formula

Degree of Saturation = (Bulk Unit Weight-Dry Unit Weight)/(Saturated Unit Weight of Soil-Dry Unit Weight)
S = (γ_bulk-γ_dry)/(γ_saturated-γ_dry)

What is Bulk Unit Weight?

Bulk unit weight is a measure of the amount of solid particles plus water per unit volume. Saturated unit weight is equal to the bulk density when the total voids is filled up with water.

How to Calculate Degree of Saturation given Bulk Unit Weight and Degree of Saturation?

Degree of Saturation given Bulk Unit Weight and Degree of Saturation calculator uses Degree of Saturation = (Bulk Unit Weight-Dry Unit Weight)/(Saturated Unit Weight of Soil-Dry Unit Weight) to calculate the Degree of Saturation, The Degree of Saturation given Bulk Unit Weight and Degree of Saturation formula is defined as the actual relationship between the weight of moisture existing in a space and the weight that would exist if the space were saturated. Degree of Saturation is denoted by S symbol.

How to calculate Degree of Saturation given Bulk Unit Weight and Degree of Saturation using this online calculator? To use this online calculator for Degree of Saturation given Bulk Unit Weight and Degree of Saturation, enter Bulk Unit Weight (γ_bulk), Dry Unit Weight (γ_dry) & Saturated Unit Weight of Soil (γ_saturated) and hit the calculate button. Here is how the Degree of Saturation given Bulk Unit Weight and Degree of Saturation calculation can be explained with given input values -> 2.599653 = (20890-6120)/(11890-6120).

FAQ

What is Degree of Saturation given Bulk Unit Weight and Degree of Saturation?

The Degree of Saturation given Bulk Unit Weight and Degree of Saturation formula is defined as the actual relationship between the weight of moisture existing in a space and the weight that would exist if the space were saturated and is represented as S = (γ_bulk-γ_dry)/(γ_saturated-γ_dry) or Degree of Saturation = (Bulk Unit Weight-Dry Unit Weight)/(Saturated Unit Weight of Soil-Dry Unit Weight). Bulk Unit Weight is the weight of a unit volume of soil. It is a measure of the density of the soil when it is in its natural, undisturbed state, Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass & Saturated Unit Weight of Soil is defined as the weight per unit volume of soil when it is fully saturated with water.

How to calculate Degree of Saturation given Bulk Unit Weight and Degree of Saturation?

The Degree of Saturation given Bulk Unit Weight and Degree of Saturation formula is defined as the actual relationship between the weight of moisture existing in a space and the weight that would exist if the space were saturated is calculated using Degree of Saturation = (Bulk Unit Weight-Dry Unit Weight)/(Saturated Unit Weight of Soil-Dry Unit Weight). To calculate Degree of Saturation given Bulk Unit Weight and Degree of Saturation, you need Bulk Unit Weight (γ_bulk), Dry Unit Weight (γ_dry) & Saturated Unit Weight of Soil (γ_saturated). With our tool, you need to enter the respective value for Bulk Unit Weight, Dry Unit Weight & Saturated Unit Weight of Soil 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 Degree of Saturation?

In this formula, Degree of Saturation uses Bulk Unit Weight, Dry Unit Weight & Saturated Unit Weight of Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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