Natural 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%
✖Relative Density in Soil Mechanics is density of an object in terms of the density of another reference object.ⓘ Relative Density in Soil Mechanics [R_D]			+10% -10%
✖Minimum Void Ratio is the ratio of soil in its densest state.ⓘ Minimum Void Ratio [e_min]			+10% -10%

✖Natural Void Ratio is the void ratio of soil sample under consideration.ⓘ Natural Void Ratio of Soil given Relative Density [e_o]

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Natural Void Ratio of Soil given Relative Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Natural Void Ratio = (Maximum Void Ratio*(1-Relative Density in Soil Mechanics)+(Relative Density in Soil Mechanics*Minimum Void Ratio))
e_o = (e_max*(1-R_D)+(R_D*e_min))
This formula uses 4 Variables

Variables Used

Natural Void Ratio - Natural Void Ratio is the void ratio of soil sample under consideration.
Maximum Void Ratio - Maximum Void Ratio is the void ratio of soil in loosest state.
Relative Density in Soil Mechanics - Relative Density in Soil Mechanics is density of an object in terms of the density of another reference object.
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
Relative Density in Soil Mechanics: 0.67 --> No Conversion Required
Minimum Void Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_o = (e_max*(1-R_D)+(R_D*e_min)) --> (0.8*(1-0.67)+(0.67*0.3))

Evaluating ... ...

e_o = 0.465

STEP 3: Convert Result to Output's Unit

0.465 --> No Conversion Required

FINAL ANSWER

0.465 <-- Natural Void Ratio

(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

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))

Natural Void Ratio of Soil given Relative Density Formula

LaTeX Go

Natural Void Ratio = (Maximum Void Ratio*(1-Relative Density in Soil Mechanics)+(Relative Density in Soil Mechanics*Minimum Void Ratio))
e_o = (e_max*(1-R_D)+(R_D*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 Natural Void Ratio of Soil given Relative Density?

Natural Void Ratio of Soil given Relative Density calculator uses Natural Void Ratio = (Maximum Void Ratio*(1-Relative Density in Soil Mechanics)+(Relative Density in Soil Mechanics*Minimum Void Ratio)) to calculate the Natural Void Ratio, The Natural Void Ratio of Soil given Relative Density formula is defined as the void ratio of the soil sample under consideration. Natural Void Ratio is denoted by e_o symbol.

How to calculate Natural Void Ratio of Soil given Relative Density using this online calculator? To use this online calculator for Natural Void Ratio of Soil given Relative Density, enter Maximum Void Ratio (e_max), Relative Density in Soil Mechanics (R_D) & Minimum Void Ratio (e_min) and hit the calculate button. Here is how the Natural Void Ratio of Soil given Relative Density calculation can be explained with given input values -> 0.465 = (0.8*(1-0.67)+(0.67*0.3)).

FAQ

What is Natural Void Ratio of Soil given Relative Density?

The Natural Void Ratio of Soil given Relative Density formula is defined as the void ratio of the soil sample under consideration and is represented as e_o = (e_max*(1-R_D)+(R_D*e_min)) or Natural Void Ratio = (Maximum Void Ratio*(1-Relative Density in Soil Mechanics)+(Relative Density in Soil Mechanics*Minimum Void Ratio)). Maximum Void Ratio is the void ratio of soil in loosest state, Relative Density in Soil Mechanics is density of an object in terms of the density of another reference object & Minimum Void Ratio is the ratio of soil in its densest state.

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

The Natural Void Ratio of Soil given Relative Density formula is defined as the void ratio of the soil sample under consideration is calculated using Natural Void Ratio = (Maximum Void Ratio*(1-Relative Density in Soil Mechanics)+(Relative Density in Soil Mechanics*Minimum Void Ratio)). To calculate Natural Void Ratio of Soil given Relative Density, you need Maximum Void Ratio (e_max), Relative Density in Soil Mechanics (R_D) & Minimum Void Ratio (e_min). With our tool, you need to enter the respective value for Maximum Void Ratio, Relative Density in Soil Mechanics & Minimum Void Ratio 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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