Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation Calculator

✖Bulk Unit Weight is the ratio of total weight to total volume.ⓘ Bulk Unit Weight [γ_bulk]			+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%

✖Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.ⓘ Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation [γ_dry]

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Formula

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Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation

Formula

`"γ"_{"dry"} = ("γ"_{"bulk"}-("S"*"γ"_{"saturated"}))/(1-"S")`

Example

`"5.973333kN/m³"=("21.12kN/m³"-("2.56"*"11.89kN/m³"))/(1-"2.56")`

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Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dry Unit Weight = (Bulk Unit Weight-(Degree of Saturation in Soil Mechanics*Saturated Unit Weight of Soil))/(1-Degree of Saturation in Soil Mechanics)
γ_dry = (γ_bulk-(S*γ_saturated))/(1-S)
This formula uses 4 Variables

Variables Used

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.
Bulk Unit Weight - (Measured in Newton per Cubic Meter) - Bulk Unit Weight is the ratio of total weight to total volume.
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

Bulk Unit Weight: 21.12 Kilonewton per Cubic Meter --> 21120 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_dry = (γ_bulk-(S*γ_saturated))/(1-S) --> (21120-(2.56*11890))/(1-2.56)

Evaluating ... ...

γ_dry = 5973.33333333333

STEP 3: Convert Result to Output's Unit

5973.33333333333 Newton per Cubic Meter -->5.97333333333333 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

5.97333333333333 ≈ 5.973333 Kilonewton per Cubic Meter <-- Dry Unit Weight

(Calculation completed in 00.004 seconds)

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

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 7 Dry Unit Weight of Soil Calculators

Dry Unit Weight Given Percentage of Air Voids

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

Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation

Go Dry Unit Weight = (Bulk Unit Weight-(Degree of Saturation in Soil Mechanics*Saturated Unit Weight of Soil))/(1-Degree of Saturation in Soil Mechanics)

Dry Unit Weight Given Water Content

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

Dry Unit Weight Given Water Content at Full Saturation

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

Dry Unit Weight Given Submerged Unit Weight of Soil and Porosity

Go Dry Unit Weight = Submerged Weight of Soil+(1-Porosity in Soil Mechanics)*Unit Weight of Water

Dry Unit Weight of Soil when Saturation is 0 Percent

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

Dry Unit Weight Given Unit Weight of Solids

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

Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation Formula

Dry Unit Weight = (Bulk Unit Weight-(Degree of Saturation in Soil Mechanics*Saturated Unit Weight of Soil))/(1-Degree of Saturation in Soil Mechanics)
γ_dry = (γ_bulk-(S*γ_saturated))/(1-S)

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 Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation?

Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation calculator uses Dry Unit Weight = (Bulk Unit Weight-(Degree of Saturation in Soil Mechanics*Saturated Unit Weight of Soil))/(1-Degree of Saturation in Soil Mechanics) to calculate the Dry Unit Weight, The Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation is defined as unit weight of the soil the pores are filled only with air without any water. Dry Unit Weight is denoted by γ_dry symbol.

How to calculate Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation using this online calculator? To use this online calculator for Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation, enter Bulk Unit Weight (γ_bulk), Degree of Saturation in Soil Mechanics (S) & Saturated Unit Weight of Soil (γ_saturated) and hit the calculate button. Here is how the Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation calculation can be explained with given input values -> 0.005973 = (21120-(2.56*11890))/(1-2.56).

FAQ

What is Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation?

The Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation is defined as unit weight of the soil the pores are filled only with air without any water and is represented as γ_dry = (γ_bulk-(S*γ_saturated))/(1-S) or Dry Unit Weight = (Bulk Unit Weight-(Degree of Saturation in Soil Mechanics*Saturated Unit Weight of Soil))/(1-Degree of Saturation in Soil Mechanics). Bulk Unit Weight is the ratio of total weight to total volume, 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 Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation?

The Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation is defined as unit weight of the soil the pores are filled only with air without any water is calculated using Dry Unit Weight = (Bulk Unit Weight-(Degree of Saturation in Soil Mechanics*Saturated Unit Weight of Soil))/(1-Degree of Saturation in Soil Mechanics). To calculate Dry Unit Weight Given Bulk Unit Weight and Degree of Saturation, you need Bulk Unit Weight (γ_bulk), 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 Bulk 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.

How many ways are there to calculate Dry Unit Weight?

In this formula, Dry Unit Weight uses Bulk Unit Weight, Degree of Saturation in Soil Mechanics & Saturated Unit Weight of Soil. We can use 6 other way(s) to calculate the same, which is/are as follows -

Dry Unit Weight = ((Specific Gravity of Soil*Unit Weight of Water)/(1+Void Ratio of Soil))
Dry Unit Weight = Unit Weight of Solids*Volume of Solids/Total Volume in Soil Mechanics
Dry Unit Weight = Submerged Weight of Soil+(1-Porosity in Soil Mechanics)*Unit Weight of Water
Dry Unit Weight = Specific Gravity of Soil*Unit Weight of Water/(1+Water Content of Soil from Pycnometer/Degree of Saturation in Soil Mechanics)
Dry Unit Weight = Specific Gravity of Soil*Unit Weight of Water/(1+Water Content of Soil from Pycnometer*Specific Gravity of Soil)
Dry Unit Weight = (1-Percentage of Air Voids in Soil)*Specific Gravity of Soil*Unit Weight of Water/(1+Water Content of Soil from Pycnometer*Specific Gravity of Soil)

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