Saturated Unit Weight given Porosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Saturated Unit Weight = (Specific Gravity of Soil Solids*Unit Weight of Water in Soil Mechanics*(1-Porosity in Soil Mechanics))+(Unit Weight of Water in Soil Mechanics*Porosity in Soil Mechanics)
γsat = (G*γw*(1-η))+(γw*η)
This formula uses 4 Variables
Variables Used
Saturated Unit Weight - (Measured in Newton per Cubic Meter) - Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water.
Specific Gravity of Soil Solids - Specific Gravity of Soil Solids is defined as the weight of soil solids to weight of equal volume of water.
Unit Weight of Water in Soil Mechanics - (Measured in Newton per Cubic Meter) - Unit Weight of Water in Soil Mechanics is the weight per unit volume of water.
Porosity in Soil Mechanics - Porosity in Soil Mechanics is the ratio of volume of voids to volume of soil.
STEP 1: Convert Input(s) to Base Unit
Specific Gravity of Soil Solids: 2.64 --> No Conversion Required
Unit Weight of Water in Soil Mechanics: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required
Porosity in Soil Mechanics: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γsat = (G*γw*(1-η))+(γw*η) --> (2.64*9810*(1-0.5))+(9810*0.5)
Evaluating ... ...
γsat = 17854.2
STEP 3: Convert Result to Output's Unit
17854.2 Newton per Cubic Meter --> No Conversion Required
FINAL ANSWER
17854.2 Newton per Cubic Meter <-- Saturated Unit Weight
(Calculation completed in 00.020 seconds)

Credits

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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10+ Porosity of soil sample Calculators

Saturated Unit Weight given Porosity
Go Saturated Unit Weight = (Specific Gravity of Soil Solids*Unit Weight of Water in Soil Mechanics*(1-Porosity in Soil Mechanics))+(Unit Weight of Water in Soil Mechanics*Porosity in Soil Mechanics)
Porosity Given Saturated Unit Weight in Porosity
Go Porosity of Soil = (Saturated Unit Weight-(Specific Gravity of Soil Solids*Unit Weight of Water in Soil Mechanics))/Unit Weight of Water in Soil Mechanics*(1-Specific Gravity of Soil Solids)
Porosity Given Dry Unit Weight in Porosity
Go Porosity in Soil Mechanics = 1-(Dry Unit Weight/(Specific Gravity of Soil*Unit Weight of Water in Soil Mechanics))
Dry Unit Weight Given Porosity
Go Dry Unit Weight = (1-Porosity in Soil Mechanics)*Specific Gravity of Soil*Unit Weight of Water in Soil Mechanics
Total Volume of Soil given Porosity of Soil Sample
Go Volume of Soil Sample = (Volume of Voids In Soil Mechanics/Porosity Volume Percent)*100
Volume of Voids Porosity of Soil Sample
Go Volume of Voids In Soil Mechanics = (Porosity Volume Percent*Volume of Soil Sample)/100
Porosity of Soil Sample
Go Porosity in Soil Mechanics = Volume of Voids In Soil Mechanics/Volume of Soil Sample
Air Content Given Percentage Air Voids in Porosity
Go Air Content = Percentage of Air Voids/Porosity in Soil Mechanics
Porosity Given Percentage Air Voids in Porosity
Go Porosity of Soil = Percentage of Air Voids/Air Content
Porosity given Void Ratio
Go Porosity in Soil Mechanics = Void Ratio/(1+Void Ratio)

Saturated Unit Weight given Porosity Formula

Saturated Unit Weight = (Specific Gravity of Soil Solids*Unit Weight of Water in Soil Mechanics*(1-Porosity in Soil Mechanics))+(Unit Weight of Water in Soil Mechanics*Porosity in Soil Mechanics)
γsat = (G*γw*(1-η))+(γw*η)

What is Porosity?

Porosity or void fraction is a measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the total volume, between 0 and 1, or as a percentage between 0% and 100%.

How to Calculate Saturated Unit Weight given Porosity?

Saturated Unit Weight given Porosity calculator uses Saturated Unit Weight = (Specific Gravity of Soil Solids*Unit Weight of Water in Soil Mechanics*(1-Porosity in Soil Mechanics))+(Unit Weight of Water in Soil Mechanics*Porosity in Soil Mechanics) to calculate the Saturated Unit Weight, The Saturated Unit Weight given Porosity is defined as equal to the bulk density when the total voids is filled up with water. Buoyant unit weight or submerged unit weight is the effective mass per unit volume when the soil is submerged below standing water or below the ground water table. Saturated Unit Weight is denoted by γsat symbol.

How to calculate Saturated Unit Weight given Porosity using this online calculator? To use this online calculator for Saturated Unit Weight given Porosity, enter Specific Gravity of Soil Solids (G), Unit Weight of Water in Soil Mechanics w) & Porosity in Soil Mechanics (η) and hit the calculate button. Here is how the Saturated Unit Weight given Porosity calculation can be explained with given input values -> 17854.2 = (2.64*9810*(1-0.5))+(9810*0.5).

FAQ

What is Saturated Unit Weight given Porosity?
The Saturated Unit Weight given Porosity is defined as equal to the bulk density when the total voids is filled up with water. Buoyant unit weight or submerged unit weight is the effective mass per unit volume when the soil is submerged below standing water or below the ground water table and is represented as γsat = (G*γw*(1-η))+(γw*η) or Saturated Unit Weight = (Specific Gravity of Soil Solids*Unit Weight of Water in Soil Mechanics*(1-Porosity in Soil Mechanics))+(Unit Weight of Water in Soil Mechanics*Porosity in Soil Mechanics). Specific Gravity of Soil Solids is defined as the weight of soil solids to weight of equal volume of water, Unit Weight of Water in Soil Mechanics is the weight per unit volume of water & Porosity in Soil Mechanics is the ratio of volume of voids to volume of soil.
How to calculate Saturated Unit Weight given Porosity?
The Saturated Unit Weight given Porosity is defined as equal to the bulk density when the total voids is filled up with water. Buoyant unit weight or submerged unit weight is the effective mass per unit volume when the soil is submerged below standing water or below the ground water table is calculated using Saturated Unit Weight = (Specific Gravity of Soil Solids*Unit Weight of Water in Soil Mechanics*(1-Porosity in Soil Mechanics))+(Unit Weight of Water in Soil Mechanics*Porosity in Soil Mechanics). To calculate Saturated Unit Weight given Porosity, you need Specific Gravity of Soil Solids (G), Unit Weight of Water in Soil Mechanics w) & Porosity in Soil Mechanics (η). With our tool, you need to enter the respective value for Specific Gravity of Soil Solids, Unit Weight of Water in Soil Mechanics & Porosity in Soil Mechanics 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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