Minimum Porosity given Relative Density in Porosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Minimum Porosity = Maximum Porosity*(1+(Porosity of Soil*Relative Density)-Porosity of Soil-Relative Density)/(Maximum Porosity-Porosity of Soil-Relative Density+(Porosity of Soil*Relative Density))
nmin = nmax*(1+(η*R)-η-R)/(nmax-η-R+(η*R))
This formula uses 4 Variables
Variables Used
Minimum Porosity - Minimum Porosity is the porosity at densest state.
Maximum Porosity - Maximum Porosity is the porosity at the loosest state.
Porosity of Soil - Porosity of Soill is the ratio of the volume of voids to the volume of soil.
Relative Density - Relative Density is density of an object in terms of the density of another reference object.
STEP 1: Convert Input(s) to Base Unit
Maximum Porosity: 0.92 --> No Conversion Required
Porosity of Soil: 0.32 --> No Conversion Required
Relative Density: 11 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
nmin = nmax*(1+(η*R)-η-R)/(nmax-η-R+(η*R)) --> 0.92*(1+(0.32*11)-0.32-11)/(0.92-0.32-11+(0.32*11))
Evaluating ... ...
nmin = 0.909302325581395
STEP 3: Convert Result to Output's Unit
0.909302325581395 --> No Conversion Required
FINAL ANSWER
0.909302325581395 0.909302 <-- Minimum Porosity
(Calculation completed in 00.004 seconds)

Credits

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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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Soil Origin and Its Properties Calculators

Relative Density of Cohesionless Soil given Unit Weight of Soil
​ LaTeX ​ Go Relative Density in Soil Mechanics = ((1/Minimum Unit Weight)-(1/Dry Unit Weight))/((1/Minimum Unit Weight)-(1/Maximum Unit Weight))
Relative Density of Cohesionless Soil given Void Ratio
​ LaTeX ​ Go Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio))
Maximum Void Ratio of Soil given Relative Density
​ LaTeX ​ Go Maximum Void Ratio = (Natural Void Ratio-(Relative Density*Minimum Void Ratio))/(1-Relative Density)
Minimum Void Ratio of Soil given Relative Density
​ LaTeX ​ Go Minimum Void Ratio = (Maximum Void Ratio-((Maximum Void Ratio-Natural Void Ratio)/Relative Density))

Minimum Porosity given Relative Density in Porosity Formula

​LaTeX ​Go
Minimum Porosity = Maximum Porosity*(1+(Porosity of Soil*Relative Density)-Porosity of Soil-Relative Density)/(Maximum Porosity-Porosity of Soil-Relative Density+(Porosity of Soil*Relative Density))
nmin = nmax*(1+(η*R)-η-R)/(nmax-η-R+(η*R))

What is Relative Density?

Relative density, or specific gravity, is the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material.

How to Calculate Minimum Porosity given Relative Density in Porosity?

Minimum Porosity given Relative Density in Porosity calculator uses Minimum Porosity = Maximum Porosity*(1+(Porosity of Soil*Relative Density)-Porosity of Soil-Relative Density)/(Maximum Porosity-Porosity of Soil-Relative Density+(Porosity of Soil*Relative Density)) to calculate the Minimum Porosity, The Minimum Porosity given Relative Density in Porosity formula is defined as a measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the to tal volume, between 0 and 1, or as a percentage between 0% and 100%. Minimum Porosity is denoted by nmin symbol.

How to calculate Minimum Porosity given Relative Density in Porosity using this online calculator? To use this online calculator for Minimum Porosity given Relative Density in Porosity, enter Maximum Porosity (nmax), Porosity of Soil (η) & Relative Density (R) and hit the calculate button. Here is how the Minimum Porosity given Relative Density in Porosity calculation can be explained with given input values -> 0.909302 = 0.92*(1+(0.32*11)-0.32-11)/(0.92-0.32-11+(0.32*11)).

FAQ

What is Minimum Porosity given Relative Density in Porosity?
The Minimum Porosity given Relative Density in Porosity formula is defined as a measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the to tal volume, between 0 and 1, or as a percentage between 0% and 100% and is represented as nmin = nmax*(1+(η*R)-η-R)/(nmax-η-R+(η*R)) or Minimum Porosity = Maximum Porosity*(1+(Porosity of Soil*Relative Density)-Porosity of Soil-Relative Density)/(Maximum Porosity-Porosity of Soil-Relative Density+(Porosity of Soil*Relative Density)). Maximum Porosity is the porosity at the loosest state, Porosity of Soill is the ratio of the volume of voids to the volume of soil & Relative Density is density of an object in terms of the density of another reference object.
How to calculate Minimum Porosity given Relative Density in Porosity?
The Minimum Porosity given Relative Density in Porosity formula is defined as a measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the to tal volume, between 0 and 1, or as a percentage between 0% and 100% is calculated using Minimum Porosity = Maximum Porosity*(1+(Porosity of Soil*Relative Density)-Porosity of Soil-Relative Density)/(Maximum Porosity-Porosity of Soil-Relative Density+(Porosity of Soil*Relative Density)). To calculate Minimum Porosity given Relative Density in Porosity, you need Maximum Porosity (nmax), Porosity of Soil (η) & Relative Density (R). With our tool, you need to enter the respective value for Maximum Porosity, Porosity of Soil & Relative Density 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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