Relative density given porosity Calculator

✖Maximum Porosity is the porosity at the loosest state.ⓘ Maximum Porosity [n_max]			+10% -10%
✖Porosity of Soill is the ratio of the volume of voids to the volume of soil.ⓘ Porosity of Soil [η]			+10% -10%
✖Minimum Porosity is the porosity at densest state.ⓘ Minimum Porosity [n_min]			+10% -10%

✖Relative Density in Soil Mechanics is density of an object in terms of the density of another reference object.ⓘ Relative density given porosity [R_D]

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Formula

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Relative density given porosity

Formula

`"R"_{"D"} = (("n"_{"max"}-"η")*(1-"n"_{"min"}))/(("n"_{"max"}-"n"_{"min"})*(1-"η"))`

Example

`"1.470588"=(("0.92"-"0.32")*(1-"0.8"))/(("0.92"-"0.8")*(1-"0.32"))`

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Relative density given porosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Relative Density in Soil Mechanics - Relative Density in Soil Mechanics is density of an object in terms of the density of another reference object.
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.
Minimum Porosity - Minimum Porosity is the porosity at densest state.

STEP 1: Convert Input(s) to Base Unit

Maximum Porosity: 0.92 --> No Conversion Required
Porosity of Soil: 0.32 --> No Conversion Required
Minimum Porosity: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_D = ((n_max-η)*(1-n_min))/((n_max-n_min)*(1-η)) --> ((0.92-0.32)*(1-0.8))/((0.92-0.8)*(1-0.32))

Evaluating ... ...

R_D = 1.47058823529412

STEP 3: Convert Result to Output's Unit

1.47058823529412 --> No Conversion Required

FINAL ANSWER

1.47058823529412 ≈ 1.470588 <-- Relative Density in Soil Mechanics

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 24 Soil Origin and Its Properties Calculators

Porosity Given Relative Density in Porosity

Go Porosity of Soil = (Maximum Porosity*(1-Minimum Porosity-Relative Density in Soil Mechanics)+Relative Density in Soil Mechanics*Minimum Porosity)/(1-Minimum Porosity+Relative Density in Soil Mechanics*Minimum Porosity-Relative Density in Soil Mechanics*Maximum Porosity)

Minimum Porosity given Relative Density in Porosity

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))

Maximum Porosity given Relative Density in Porosity

Go 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)

Dry Unit Weight of Soil given Relative Density

Go Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight)))

Relative density given porosity

Go Relative Density in Soil Mechanics = ((Maximum Porosity-Porosity of Soil)*(1-Minimum Porosity))/((Maximum Porosity-Minimum Porosity)*(1-Porosity of Soil))

Minimum Unit Weight of Soil given Relative Density

Go Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight))

Maximum Unit Weight of Soil given Relative Density

Go Maximum Unit Weight = ((Minimum Unit Weight*Dry Unit Weight*Relative Density)/(Dry Unit Weight*(Relative Density-1)+Minimum Unit Weight))

Dry Unit Weight of Soil with any Degree of Saturation

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

Natural Void Ratio of Soil given Relative Density

Go Natural Void Ratio = (Maximum Void Ratio*(1-Relative Density in Soil Mechanics)+(Relative Density in Soil Mechanics*Minimum Void Ratio))

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))

Degree of Saturation given Dry Unit Weight of Soil

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

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))

Specific Gravity of Soil given Degree of Saturation

Go Specific Gravity of Soil = ((Degree of Saturation*Void Ratio of Soil)/Water Content of Soil from Pycnometer)

Water Content of Soil given Degree of Saturation

Go Water Content of Soil from Pycnometer = ((Degree of Saturation*Void Ratio of Soil)/Specific Gravity of Soil)

Void Ratio of Soil given Degree of Saturation

Go Void Ratio of Soil = ((Water Content of Soil from Pycnometer*Specific Gravity of Soil)/Degree of Saturation)

Degree of Saturation of Soil

Go Degree of Saturation = ((Water Content of Soil from Pycnometer*Specific Gravity of Soil)/Void Ratio of Soil)

Porosity of Soil given Void Ratio

Go Porosity of Soil = (Void Ratio of Soil/(1+Void Ratio of Soil))

Void Ratio of Soil given Porosity

Go Void Ratio of Soil = (Porosity of Soil/(1-Porosity of Soil))

Total Volume of Soil using Porosity

Go Volume of Soil = (Volume of Voids/Porosity of Soil)

Volume of Voids using Porosity

Go Volume of Voids = (Porosity of Soil*Volume of Soil)

Void ratio of soil

Go Void Ratio of Soil = (Volume of Voids/Solid Volume)

Porosity of soil

Go Porosity of Soil = (Volume of Voids/Volume of Soil)

Relative density given porosity Formula

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 Relative density given porosity?

Relative density given porosity calculator uses Relative Density in Soil Mechanics = ((Maximum Porosity-Porosity of Soil)*(1-Minimum Porosity))/((Maximum Porosity-Minimum Porosity)*(1-Porosity of Soil)) to calculate the Relative Density in Soil Mechanics, The Relative density given porosity formula is defined as specific gravity, is the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material. Relative Density in Soil Mechanics is denoted by R_D symbol.

How to calculate Relative density given porosity using this online calculator? To use this online calculator for Relative density given porosity, enter Maximum Porosity (n_max), Porosity of Soil (η) & Minimum Porosity (n_min) and hit the calculate button. Here is how the Relative density given porosity calculation can be explained with given input values -> 1.470588 = ((0.92-0.32)*(1-0.8))/((0.92-0.8)*(1-0.32)).

FAQ

What is Relative density given porosity?

The Relative density given porosity formula is defined as specific gravity, is the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material and is represented as R_D = ((n_max-η)*(1-n_min))/((n_max-n_min)*(1-η)) or Relative Density in Soil Mechanics = ((Maximum Porosity-Porosity of Soil)*(1-Minimum Porosity))/((Maximum Porosity-Minimum Porosity)*(1-Porosity of Soil)). 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 & Minimum Porosity is the porosity at densest state.

How to calculate Relative density given porosity?

The Relative density given porosity formula is defined as specific gravity, is the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material is calculated using Relative Density in Soil Mechanics = ((Maximum Porosity-Porosity of Soil)*(1-Minimum Porosity))/((Maximum Porosity-Minimum Porosity)*(1-Porosity of Soil)). To calculate Relative density given porosity, you need Maximum Porosity (n_max), Porosity of Soil (η) & Minimum Porosity (n_min). With our tool, you need to enter the respective value for Maximum Porosity, Porosity of Soil & Minimum Porosity 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 Relative Density in Soil Mechanics?

In this formula, Relative Density in Soil Mechanics uses Maximum Porosity, Porosity of Soil & Minimum Porosity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio))
Relative Density in Soil Mechanics = ((1/Minimum Unit Weight)-(1/Dry Unit Weight))/((1/Minimum Unit Weight)-(1/Maximum Unit Weight))

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