Maximum Porosity given Relative Density in Porosity Calculator

✖Minimum Porosity is the porosity at densest state.ⓘ Minimum Porosity [n_min]			+10% -10%
✖Relative Density is density of an object in terms of the density of another reference object.ⓘ Relative Density [R]			+10% -10%
✖Porosity of Soill is the ratio of the volume of voids to the volume of soil.ⓘ Porosity of Soil [η]			+10% -10%

✖Maximum Porosity is the porosity at the loosest state.ⓘ Maximum Porosity given Relative Density in Porosity [n_max]

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Formula

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Maximum Porosity given Relative Density in Porosity

Formula

n max = n min \cdot \frac{R - (η \cdot R) - η + 1}{R - (η \cdot R) + n min - 1}

Example

0.896703 = 0.8 \cdot \frac{11 - (0.32 \cdot 11) - 0.32 + 1}{11 - (0.32 \cdot 11) + 0.8 - 1}

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Maximum Porosity given Relative Density in Porosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Porosity = Minimum Porosity*(Relative Density-(Porosity of Soil*Relative Density)-Porosity of Soil+1)/(Relative Density-(Porosity of Soil*Relative Density)+Minimum Porosity-1)
n_max = n_min*(R-(η*R)-η+1)/(R-(η*R)+n_min-1)
This formula uses 4 Variables

Variables Used

Maximum Porosity - Maximum Porosity is the porosity at the loosest state.
Minimum Porosity - Minimum Porosity is the porosity at densest state.
Relative Density - Relative Density is density of an object in terms of the density of another reference object.
Porosity of Soil - Porosity of Soill is the ratio of the volume of voids to the volume of soil.

STEP 1: Convert Input(s) to Base Unit

Minimum Porosity: 0.8 --> No Conversion Required
Relative Density: 11 --> No Conversion Required
Porosity of Soil: 0.32 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_max = n_min*(R-(η*R)-η+1)/(R-(η*R)+n_min-1) --> 0.8*(11-(0.32*11)-0.32+1)/(11-(0.32*11)+0.8-1)

Evaluating ... ...

n_max = 0.896703296703297

STEP 3: Convert Result to Output's Unit

0.896703296703297 --> No Conversion Required

FINAL ANSWER

0.896703296703297 ≈ 0.896703 <-- Maximum Porosity

(Calculation completed in 00.004 seconds)

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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

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

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

Go Maximum Void Ratio = (Natural Void Ratio-(Relative Density*Minimum Void Ratio))/(1-Relative Density)

Minimum Void Ratio of Soil given Relative Density

Go Minimum Void Ratio = (Maximum Void Ratio-((Maximum Void Ratio-Natural Void Ratio)/Relative Density))

Maximum Porosity given Relative Density in Porosity Formula

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 Maximum Porosity given Relative Density in Porosity?

Maximum Porosity given Relative Density in Porosity calculator uses Maximum Porosity = Minimum Porosity*(Relative Density-(Porosity of Soil*Relative Density)-Porosity of Soil+1)/(Relative Density-(Porosity of Soil*Relative Density)+Minimum Porosity-1) to calculate the Maximum Porosity, The Maximum 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 total volume, between 0 and 1, or as a percentage between 0% and 100%. Maximum Porosity is denoted by n_max symbol.

How to calculate Maximum Porosity given Relative Density in Porosity using this online calculator? To use this online calculator for Maximum Porosity given Relative Density in Porosity, enter Minimum Porosity (n_min), Relative Density (R) & Porosity of Soil (η) and hit the calculate button. Here is how the Maximum Porosity given Relative Density in Porosity calculation can be explained with given input values -> 0.896703 = 0.8*(11-(0.32*11)-0.32+1)/(11-(0.32*11)+0.8-1).

FAQ

What is Maximum Porosity given Relative Density in Porosity?

The Maximum 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 total volume, between 0 and 1, or as a percentage between 0% and 100% and is represented as n_max = n_min*(R-(η*R)-η+1)/(R-(η*R)+n_min-1) or Maximum Porosity = Minimum Porosity*(Relative Density-(Porosity of Soil*Relative Density)-Porosity of Soil+1)/(Relative Density-(Porosity of Soil*Relative Density)+Minimum Porosity-1). Minimum Porosity is the porosity at densest state, Relative Density is density of an object in terms of the density of another reference object & Porosity of Soill is the ratio of the volume of voids to the volume of soil.

How to calculate Maximum Porosity given Relative Density in Porosity?

The Maximum 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 total volume, between 0 and 1, or as a percentage between 0% and 100% is calculated using Maximum Porosity = Minimum Porosity*(Relative Density-(Porosity of Soil*Relative Density)-Porosity of Soil+1)/(Relative Density-(Porosity of Soil*Relative Density)+Minimum Porosity-1). To calculate Maximum Porosity given Relative Density in Porosity, you need Minimum Porosity (n_min), Relative Density (R) & Porosity of Soil (η). With our tool, you need to enter the respective value for Minimum Porosity, Relative Density & Porosity 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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