Relative Density of Cohesionless Soil given Void Ratio Calculator

✖Maximum Void Ratio is the void ratio of soil in loosest state.ⓘ Maximum Void Ratio [e_max]			+10% -10%
✖Natural Void Ratio is the void ratio of soil sample under consideration.ⓘ Natural Void Ratio [e_o]			+10% -10%
✖Minimum Void Ratio is the ratio of soil in its densest state.ⓘ Minimum Void Ratio [e_min]			+10% -10%

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

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Formula

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Relative Density of Cohesionless Soil given Void Ratio

Formula

R D = (\frac{e max - e o}{e max - e min})

Example

0.6 = (\frac{0.80 - 0.50}{0.80 - 0.30})

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Relative Density of Cohesionless Soil given Void Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio))
R_D = ((e_max-e_o)/(e_max-e_min))
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 Void Ratio - Maximum Void Ratio is the void ratio of soil in loosest state.
Natural Void Ratio - Natural Void Ratio is the void ratio of soil sample under consideration.
Minimum Void Ratio - Minimum Void Ratio is the ratio of soil in its densest state.

STEP 1: Convert Input(s) to Base Unit

Maximum Void Ratio: 0.8 --> No Conversion Required
Natural Void Ratio: 0.5 --> No Conversion Required
Minimum Void Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_D = ((e_max-e_o)/(e_max-e_min)) --> ((0.8-0.5)/(0.8-0.3))

Evaluating ... ...

R_D = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Relative Density in Soil Mechanics

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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))

Relative Density of Cohesionless Soil given Void Ratio Formula

Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio))
R_D = ((e_max-e_o)/(e_max-e_min))

What is Relative Density of Soil?

Relative density or density index is the ratio of the difference between the void ratios of a cohesionless soil in its loosest state and existing natural state to the difference between its void ratio in the loosest and densest states.

How to Calculate Relative Density of Cohesionless Soil given Void Ratio?

Relative Density of Cohesionless Soil given Void Ratio calculator uses Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio)) to calculate the Relative Density in Soil Mechanics, The Relative Density of Cohesionless Soil given Void Ratio formula is defined as maximum void ratio, minimum void ratio, and natural void ratio for determining relative density. Relative Density in Soil Mechanics is denoted by R_D symbol.

How to calculate Relative Density of Cohesionless Soil given Void Ratio using this online calculator? To use this online calculator for Relative Density of Cohesionless Soil given Void Ratio, enter Maximum Void Ratio (e_max), Natural Void Ratio (e_o) & Minimum Void Ratio (e_min) and hit the calculate button. Here is how the Relative Density of Cohesionless Soil given Void Ratio calculation can be explained with given input values -> 0.6 = ((0.8-0.5)/(0.8-0.3)).

FAQ

What is Relative Density of Cohesionless Soil given Void Ratio?

The Relative Density of Cohesionless Soil given Void Ratio formula is defined as maximum void ratio, minimum void ratio, and natural void ratio for determining relative density and is represented as R_D = ((e_max-e_o)/(e_max-e_min)) or Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio)). Maximum Void Ratio is the void ratio of soil in loosest state, Natural Void Ratio is the void ratio of soil sample under consideration & Minimum Void Ratio is the ratio of soil in its densest state.

How to calculate Relative Density of Cohesionless Soil given Void Ratio?

The Relative Density of Cohesionless Soil given Void Ratio formula is defined as maximum void ratio, minimum void ratio, and natural void ratio for determining relative density is calculated using Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio)). To calculate Relative Density of Cohesionless Soil given Void Ratio, you need Maximum Void Ratio (e_max), Natural Void Ratio (e_o) & Minimum Void Ratio (e_min). With our tool, you need to enter the respective value for Maximum Void Ratio, Natural Void Ratio & Minimum Void Ratio 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 Void Ratio, Natural Void Ratio & Minimum Void Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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