Minimum Void Ratio of Soil given Relative Density 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%
✖Relative Density is density of an object in terms of the density of another reference object.ⓘ Relative Density [R]			+10% -10%

✖Minimum Void Ratio is the ratio of soil in its densest state.ⓘ Minimum Void Ratio of Soil given Relative Density [e_min]

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Minimum Void Ratio of Soil given Relative Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Void Ratio = (Maximum Void Ratio-((Maximum Void Ratio-Natural Void Ratio)/Relative Density))
e_min = (e_max-((e_max-e_o)/R))
This formula uses 4 Variables

Variables Used

Minimum Void Ratio - Minimum Void Ratio is the ratio of soil in its densest state.
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.
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 Void Ratio: 0.8 --> No Conversion Required
Natural Void Ratio: 0.5 --> No Conversion Required
Relative Density: 11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_min = (e_max-((e_max-e_o)/R)) --> (0.8-((0.8-0.5)/11))

Evaluating ... ...

e_min = 0.772727272727273

STEP 3: Convert Result to Output's Unit

0.772727272727273 --> No Conversion Required

FINAL ANSWER

0.772727272727273 ≈ 0.772727 <-- Minimum Void Ratio

(Calculation completed in 00.020 seconds)

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Credits

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

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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 Void Ratio of Soil given Relative Density Formula

LaTeX Go

Minimum Void Ratio = (Maximum Void Ratio-((Maximum Void Ratio-Natural Void Ratio)/Relative Density))
e_min = (e_max-((e_max-e_o)/R))

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 Minimum Void Ratio of Soil given Relative Density?

Minimum Void Ratio of Soil given Relative Density calculator uses Minimum Void Ratio = (Maximum Void Ratio-((Maximum Void Ratio-Natural Void Ratio)/Relative Density)) to calculate the Minimum Void Ratio, The Minimum Void Ratio of Soil given Relative Density formula is defined as the void ratio of soil in its densest state. Minimum Void Ratio is denoted by e_min symbol.

How to calculate Minimum Void Ratio of Soil given Relative Density using this online calculator? To use this online calculator for Minimum Void Ratio of Soil given Relative Density, enter Maximum Void Ratio (e_max), Natural Void Ratio (e_o) & Relative Density (R) and hit the calculate button. Here is how the Minimum Void Ratio of Soil given Relative Density calculation can be explained with given input values -> 0.772727 = (0.8-((0.8-0.5)/11)).

FAQ

What is Minimum Void Ratio of Soil given Relative Density?

The Minimum Void Ratio of Soil given Relative Density formula is defined as the void ratio of soil in its densest state and is represented as e_min = (e_max-((e_max-e_o)/R)) or Minimum Void Ratio = (Maximum Void Ratio-((Maximum Void Ratio-Natural Void Ratio)/Relative Density)). Maximum Void Ratio is the void ratio of soil in loosest state, Natural Void Ratio is the void ratio of soil sample under consideration & Relative Density is density of an object in terms of the density of another reference object.

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

The Minimum Void Ratio of Soil given Relative Density formula is defined as the void ratio of soil in its densest state is calculated using Minimum Void Ratio = (Maximum Void Ratio-((Maximum Void Ratio-Natural Void Ratio)/Relative Density)). To calculate Minimum Void Ratio of Soil given Relative Density, you need Maximum Void Ratio (e_max), Natural Void Ratio (e_o) & Relative Density (R). With our tool, you need to enter the respective value for Maximum Void Ratio, Natural Void Ratio & 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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