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))
RD = ((emax-eo)/(emax-emin))
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
RD = ((emax-eo)/(emax-emin)) --> ((0.8-0.5)/(0.8-0.3))
Evaluating ... ...
RD = 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 00.020 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

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 of Cohesionless Soil given Void Ratio Formula

Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio))
RD = ((emax-eo)/(emax-emin))

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 RD 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 (emax), Natural Void Ratio (eo) & Minimum Void Ratio (emin) 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 RD = ((emax-eo)/(emax-emin)) 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 (emax), Natural Void Ratio (eo) & Minimum Void Ratio (emin). 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))
Let Others Know
โœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!