Maximum Void Ratio of Soil given Relative Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Void Ratio = (Natural Void Ratio-(Relative Density*Minimum Void Ratio))/(1-Relative Density)
emax = (eo-(R*emin))/(1-R)
This formula uses 4 Variables
Variables Used
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.
Minimum Void Ratio - Minimum Void Ratio is the ratio of soil in its densest state.
STEP 1: Convert Input(s) to Base Unit
Natural Void Ratio: 0.5 --> No Conversion Required
Relative Density: 11 --> No Conversion Required
Minimum Void Ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
emax = (eo-(R*emin))/(1-R) --> (0.5-(11*0.3))/(1-11)
Evaluating ... ...
emax = 0.28
STEP 3: Convert Result to Output's Unit
0.28 --> No Conversion Required
FINAL ANSWER
0.28 <-- Maximum Void Ratio
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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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)

Maximum Void Ratio of Soil given Relative Density Formula

Maximum Void Ratio = (Natural Void Ratio-(Relative Density*Minimum Void Ratio))/(1-Relative Density)
emax = (eo-(R*emin))/(1-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 Maximum Void Ratio of Soil given Relative Density?

Maximum Void Ratio of Soil given Relative Density calculator uses Maximum Void Ratio = (Natural Void Ratio-(Relative Density*Minimum Void Ratio))/(1-Relative Density) to calculate the Maximum Void Ratio, The Maximum Void Ratio of Soil given Relative Density formula is defined as the void ratio of soil in its loosest state. Maximum Void Ratio is denoted by emax symbol.

How to calculate Maximum Void Ratio of Soil given Relative Density using this online calculator? To use this online calculator for Maximum Void Ratio of Soil given Relative Density, enter Natural Void Ratio (eo), Relative Density (R) & Minimum Void Ratio (emin) and hit the calculate button. Here is how the Maximum Void Ratio of Soil given Relative Density calculation can be explained with given input values -> 0.28 = (0.5-(11*0.3))/(1-11).

FAQ

What is Maximum Void Ratio of Soil given Relative Density?
The Maximum Void Ratio of Soil given Relative Density formula is defined as the void ratio of soil in its loosest state and is represented as emax = (eo-(R*emin))/(1-R) or Maximum Void Ratio = (Natural Void Ratio-(Relative Density*Minimum Void Ratio))/(1-Relative Density). 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 & Minimum Void Ratio is the ratio of soil in its densest state.
How to calculate Maximum Void Ratio of Soil given Relative Density?
The Maximum Void Ratio of Soil given Relative Density formula is defined as the void ratio of soil in its loosest state is calculated using Maximum Void Ratio = (Natural Void Ratio-(Relative Density*Minimum Void Ratio))/(1-Relative Density). To calculate Maximum Void Ratio of Soil given Relative Density, you need Natural Void Ratio (eo), Relative Density (R) & Minimum Void Ratio (emin). With our tool, you need to enter the respective value for Natural Void Ratio, Relative Density & 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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