Bulk Unit Weight Given Degree of Saturation Calculator

✖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%
✖Degree of Saturation in Soil Mechanics is the ratio of the volume of water to the volume of voids.ⓘ Degree of Saturation in Soil Mechanics [S]			+10% -10%
✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight of Soil [γ_saturated]			+10% -10%

✖Bulk Unit Weight is the ratio of total weight to total volume.ⓘ Bulk Unit Weight Given Degree of Saturation [γ_bulk]

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Formula

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Bulk Unit Weight Given Degree of Saturation

Formula

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

Example

`"20.8912kN/m³"="6.12kN/m³"+("2.56"*("11.89kN/m³"-"6.12kN/m³"))`

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Bulk Unit Weight Given Degree of Saturation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Bulk Unit Weight - (Measured in Newton per Cubic Meter) - Bulk Unit Weight is the ratio of total weight to total volume.
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.
Degree of Saturation in Soil Mechanics - Degree of Saturation in Soil Mechanics is the ratio of the volume of water to the volume of voids.
Saturated Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.

STEP 1: Convert Input(s) to Base Unit

Dry Unit Weight: 6.12 Kilonewton per Cubic Meter --> 6120 Newton per Cubic Meter (Check conversion here)
Degree of Saturation in Soil Mechanics: 2.56 --> No Conversion Required
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

γ_bulk = γ_dry+(S*(γ_saturated-γ_dry)) --> 6120+(2.56*(11890-6120))

Evaluating ... ...

γ_bulk = 20891.2

STEP 3: Convert Result to Output's Unit

20891.2 Newton per Cubic Meter -->20.8912 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

20.8912 Kilonewton per Cubic Meter <-- Bulk Unit Weight

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Relationships of weights and volumes in soils » Bulk Unit Weight Given Degree of Saturation

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 22 Relationships of weights and volumes in soils Calculators

Water Content Given Dry Unit Weight and Percentage of Air Voids

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

Saturated Unit Weight of Soil with Saturation 100 Percent

Go Saturated Unit Weight of Soil = (((Specific Gravity of Soil*Unit Weight of Water)+(Void Ratio of Soil*Unit Weight of Water))/(1+Void Ratio of Soil))

Degree of Saturation Given Dry Unit Weight and Water Content

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

Saturated Unit Weight of Soil given Water Content

Go Saturated Unit Weight of Soil = (((1+Water Content of Soil from Pycnometer)*Specific Gravity of Soil*Unit Weight of Water)/(1+Void Ratio of Soil))

Water Content Given Dry Unit Weight

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

Water Content Given Dry Unit Weight at Full Saturation

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

Saturated Unit Weight given Bulk Unit Weight and Degree of Saturation

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

Degree of Saturation Given Bulk Unit Weight and Degree of Saturation

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

Bulk Unit Weight Given Degree of Saturation

Go Bulk Unit Weight = Dry Unit Weight+(Degree of Saturation in Soil Mechanics*(Saturated Unit Weight of Soil-Dry Unit Weight))

Total Mass of Soil Given Water Content of Soil with respect to its Mass

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 Void Ratio in Specific Gravity

Go Water Content of Soil from Pycnometer = Void Ratio*Degree of Saturation in Soil Mechanics/Specific Gravity of Soil

Submerged Unit Weight of Soil Given Porosity

Go Submerged Unit Weight in KN per Cubic Meter = Dry Unit Weight-(1-Porosity in Soil Mechanics)*Unit Weight of Water

Dry Density Given Void Ratio

Go Dry Density in Soil Mechanics = (Specific Gravity of Soil*Density of Water in Soil Mechanics)/(1+Void Ratio)

Density of Water Given Dry Density and Void Ratio

Go Density of Water in Soil Mechanics = Dry Density in Soil Mechanics*(1+Void Ratio)/Specific Gravity of Soil

Unit Weight of Solids Given Dry Unit Weight Given Unit Weight of Solids

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

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 for Fully Saturated Soil

Go Water Content of Soil from Pycnometer = Void Ratio/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

Bulk Unit Weight Given Degree of Saturation Formula

Bulk Unit Weight = Dry Unit Weight+(Degree of Saturation in Soil Mechanics*(Saturated Unit Weight of Soil-Dry Unit Weight))
γ_bulk = γ_dry+(S*(γ_saturated-γ_dry))

What is Unit Weight of Water?

The unit weight of water is essentially the same as the density of water. Density is a measure of how much mass a substance has per unit volume.

How to Calculate Bulk Unit Weight Given Degree of Saturation?

Bulk Unit Weight Given Degree of Saturation calculator uses Bulk Unit Weight = Dry Unit Weight+(Degree of Saturation in Soil Mechanics*(Saturated Unit Weight of Soil-Dry Unit Weight)) to calculate the Bulk Unit Weight, The Bulk Unit Weight Given Degree of Saturation is defined as 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. Bulk Unit Weight is denoted by γ_bulk symbol.

How to calculate Bulk Unit Weight Given Degree of Saturation using this online calculator? To use this online calculator for Bulk Unit Weight Given Degree of Saturation, enter Dry Unit Weight (γ_dry), Degree of Saturation in Soil Mechanics (S) & Saturated Unit Weight of Soil (γ_saturated) and hit the calculate button. Here is how the Bulk Unit Weight Given Degree of Saturation calculation can be explained with given input values -> 0.005478 = 6120+(2.56*(11890-6120)).

FAQ

What is Bulk Unit Weight Given Degree of Saturation?

The Bulk Unit Weight Given Degree of Saturation is defined as 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 and is represented as γ_bulk = γ_dry+(S*(γ_saturated-γ_dry)) or Bulk Unit Weight = Dry Unit Weight+(Degree of Saturation in Soil Mechanics*(Saturated Unit Weight of Soil-Dry Unit Weight)). Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass, Degree of Saturation in Soil Mechanics is the ratio of the volume of water to the volume of voids & Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.

How to calculate Bulk Unit Weight Given Degree of Saturation?

The Bulk Unit Weight Given Degree of Saturation is defined as 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 is calculated using Bulk Unit Weight = Dry Unit Weight+(Degree of Saturation in Soil Mechanics*(Saturated Unit Weight of Soil-Dry Unit Weight)). To calculate Bulk Unit Weight Given Degree of Saturation, you need Dry Unit Weight (γ_dry), Degree of Saturation in Soil Mechanics (S) & Saturated Unit Weight of Soil (γ_saturated). With our tool, you need to enter the respective value for Dry Unit Weight, Degree of Saturation in Soil Mechanics & 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.

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