Saturated Unit Weight of Soil given Water Content Calculator

✖Water Content of Soil from Pycnometer is the ratio of the weight of water to the weight of the solids in a given mass of soil.ⓘ Water Content of Soil from Pycnometer [w_s]			+10% -10%
✖Specific Gravity of Soil is an important property of soil being related to density.ⓘ Specific Gravity of Soil [G_s]			+10% -10%
✖Unit Weight of Water is mass per unit of water.ⓘ Unit Weight of Water [γ_water]			+10% -10%
✖Void Ratio of Soil mixture is the ratio of the volume of voids to volume of solids.ⓘ Void Ratio of Soil [e_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 given Water Content [γ_saturated]

⎘ Copy

👎

Formula

✖

Saturated Unit Weight of Soil given Water Content

Formula

`"γ"_{"saturated"} = (((1+"w"_{"s"})*"G"_{"s"}*"γ"_{"water"})/(1+"e"_{"s"}))`

Example

`"12.68314kN/m³"=(((1+"0.61")*"2.65"*"9.81kN/m³")/(1+"2.3"))`

Calculator

LaTeX

Reset

👍

Download Geotechnical Engineering Formula PDF

Saturated Unit Weight of Soil given Water Content Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
γ_saturated = (((1+w_s)*G_s*γ_water)/(1+e_s))
This formula uses 5 Variables

Variables Used

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.
Water Content of Soil from Pycnometer - Water Content of Soil from Pycnometer is the ratio of the weight of water to the weight of the solids in a given mass of soil.
Specific Gravity of Soil - Specific Gravity of Soil is an important property of soil being related to density.
Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is mass per unit of water.
Void Ratio of Soil - Void Ratio of Soil mixture is the ratio of the volume of voids to volume of solids.

STEP 1: Convert Input(s) to Base Unit

Water Content of Soil from Pycnometer: 0.61 --> 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)
Void Ratio of Soil: 2.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_saturated = (((1+w_s)*G_s*γ_water)/(1+e_s)) --> (((1+0.61)*2.65*9810)/(1+2.3))

Evaluating ... ...

γ_saturated = 12683.1409090909

STEP 3: Convert Result to Output's Unit

12683.1409090909 Newton per Cubic Meter -->12.6831409090909 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

12.6831409090909 ≈ 12.68314 Kilonewton per Cubic Meter <-- Saturated Unit Weight of Soil

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Relationships of weights and volumes in soils » Saturated Unit Weight of Soil given Water Content

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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

Saturated Unit Weight of Soil given Water Content Formula

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))
γ_saturated = (((1+w_s)*G_s*γ_water)/(1+e_s))

What is Saturated Unit Weight of Soil?

Saturated unit weight is equal to the bulk density when the total voids is filled up with water.When the soil mass is saturated, its bulk density is called saturated density. Thus, saturated density is the ratio of the total soil mass of saturated sample to its total volume.

How to Calculate Saturated Unit Weight of Soil given Water Content?

Saturated Unit Weight of Soil given Water Content calculator uses 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)) to calculate the Saturated Unit Weight of Soil, The Saturated Unit Weight of Soil given Water Content is defined as the bulk density when the total voids is filled up with water. Saturated Unit Weight of Soil is denoted by γ_saturated symbol.

How to calculate Saturated Unit Weight of Soil given Water Content using this online calculator? To use this online calculator for Saturated Unit Weight of Soil given Water Content, enter Water Content of Soil from Pycnometer (w_s), Specific Gravity of Soil (G_s), Unit Weight of Water (γ_water) & Void Ratio of Soil (e_s) and hit the calculate button. Here is how the Saturated Unit Weight of Soil given Water Content calculation can be explained with given input values -> 0.012683 = (((1+0.61)*2.65*9810)/(1+2.3)).

FAQ

What is Saturated Unit Weight of Soil given Water Content?

The Saturated Unit Weight of Soil given Water Content is defined as the bulk density when the total voids is filled up with water and is represented as γ_saturated = (((1+w_s)*G_s*γ_water)/(1+e_s)) or 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 of Soil from Pycnometer is the ratio of the weight of water to the weight of the solids in a given mass of soil, Specific Gravity of Soil is an important property of soil being related to density, Unit Weight of Water is mass per unit of water & Void Ratio of Soil mixture is the ratio of the volume of voids to volume of solids.

How to calculate Saturated Unit Weight of Soil given Water Content?

The Saturated Unit Weight of Soil given Water Content is defined as the bulk density when the total voids is filled up with water is calculated using 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)). To calculate Saturated Unit Weight of Soil given Water Content, you need Water Content of Soil from Pycnometer (w_s), Specific Gravity of Soil (G_s), Unit Weight of Water (γ_water) & Void Ratio of Soil (e_s). With our tool, you need to enter the respective value for Water Content of Soil from Pycnometer, Specific Gravity of Soil, Unit Weight of Water & Void Ratio 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 Saturated Unit Weight of Soil?

In this formula, Saturated Unit Weight of Soil uses Water Content of Soil from Pycnometer, Specific Gravity of Soil, Unit Weight of Water & Void Ratio of Soil. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search