Relative Density of Cohesionless Soil given Unit Weight of Soil Calculator

✖Minimum Unit Weight of soil is ratio of weight of soil to maximum volume of soil.ⓘ Minimum Unit Weight [γ_min]			+10% -10%
✖Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.ⓘ Dry Unit Weight [γ_dry]			+10% -10%
✖Maximum Unit Weight of soil is ratio of weight of soil to minimum volume of soil.ⓘ Maximum Unit Weight [γ_max]			+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 Unit Weight of Soil [R_D]

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Formula

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Relative Density of Cohesionless Soil given Unit Weight of Soil

Formula

`"R"_{"D"} = ((1/"γ"_{"min"})-(1/"γ"_{"dry"}))/((1/"γ"_{"min"})-(1/"γ"_{"max"}))`

Example

`"0.366013"=((1/"5kN/m³")-(1/"6.12kN/m³"))/((1/"5kN/m³")-(1/"10kN/m³"))`

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Download Soil Origin and Its Properties Formulas PDF

Relative Density of Cohesionless Soil given Unit Weight of Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Density in Soil Mechanics = ((1/Minimum Unit Weight)-(1/Dry Unit Weight))/((1/Minimum Unit Weight)-(1/Maximum Unit Weight))
R_D = ((1/γ_min)-(1/γ_dry))/((1/γ_min)-(1/γ_max))
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.
Minimum Unit Weight - (Measured in Kilonewton per Cubic Meter) - Minimum Unit Weight of soil is ratio of weight of soil to maximum volume of soil.
Dry Unit Weight - (Measured in Kilonewton per Cubic Meter) - Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.
Maximum Unit Weight - (Measured in Kilonewton per Cubic Meter) - Maximum Unit Weight of soil is ratio of weight of soil to minimum volume of soil.

STEP 1: Convert Input(s) to Base Unit

Minimum Unit Weight: 5 Kilonewton per Cubic Meter --> 5 Kilonewton per Cubic Meter No Conversion Required
Dry Unit Weight: 6.12 Kilonewton per Cubic Meter --> 6.12 Kilonewton per Cubic Meter No Conversion Required
Maximum Unit Weight: 10 Kilonewton per Cubic Meter --> 10 Kilonewton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_D = ((1/γ_min)-(1/γ_dry))/((1/γ_min)-(1/γ_max)) --> ((1/5)-(1/6.12))/((1/5)-(1/10))

Evaluating ... ...

R_D = 0.366013071895425

STEP 3: Convert Result to Output's Unit

0.366013071895425 --> No Conversion Required

FINAL ANSWER

0.366013071895425 ≈ 0.366013 <-- 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

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Verified by Ishita Goyal

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)

Relative Density of Cohesionless Soil given Unit Weight of Soil Formula

Relative Density in Soil Mechanics = ((1/Minimum Unit Weight)-(1/Dry Unit Weight))/((1/Minimum Unit Weight)-(1/Maximum Unit Weight))
R_D = ((1/γ_min)-(1/γ_dry))/((1/γ_min)-(1/γ_max))

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 Unit Weight of Soil?

Relative Density of Cohesionless Soil given Unit Weight of Soil calculator uses Relative Density in Soil Mechanics = ((1/Minimum Unit Weight)-(1/Dry Unit Weight))/((1/Minimum Unit Weight)-(1/Maximum Unit Weight)) to calculate the Relative Density in Soil Mechanics, The Relative Density of Cohesionless Soil given Unit Weight of Soil formula is defined as dry unit weight of soil, minimum and maximum unit weight of soil for getting relative density. Relative Density in Soil Mechanics is denoted by R_D symbol.

How to calculate Relative Density of Cohesionless Soil given Unit Weight of Soil using this online calculator? To use this online calculator for Relative Density of Cohesionless Soil given Unit Weight of Soil, enter Minimum Unit Weight (γ_min), Dry Unit Weight (γ_dry) & Maximum Unit Weight (γ_max) and hit the calculate button. Here is how the Relative Density of Cohesionless Soil given Unit Weight of Soil calculation can be explained with given input values -> 0.366013 = ((1/5000)-(1/6120))/((1/5000)-(1/10000)).

FAQ

What is Relative Density of Cohesionless Soil given Unit Weight of Soil?

The Relative Density of Cohesionless Soil given Unit Weight of Soil formula is defined as dry unit weight of soil, minimum and maximum unit weight of soil for getting relative density and is represented as R_D = ((1/γ_min)-(1/γ_dry))/((1/γ_min)-(1/γ_max)) or Relative Density in Soil Mechanics = ((1/Minimum Unit Weight)-(1/Dry Unit Weight))/((1/Minimum Unit Weight)-(1/Maximum Unit Weight)). Minimum Unit Weight of soil is ratio of weight of soil to maximum volume of soil, Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass & Maximum Unit Weight of soil is ratio of weight of soil to minimum volume of soil.

How to calculate Relative Density of Cohesionless Soil given Unit Weight of Soil?

The Relative Density of Cohesionless Soil given Unit Weight of Soil formula is defined as dry unit weight of soil, minimum and maximum unit weight of soil for getting relative density is calculated using Relative Density in Soil Mechanics = ((1/Minimum Unit Weight)-(1/Dry Unit Weight))/((1/Minimum Unit Weight)-(1/Maximum Unit Weight)). To calculate Relative Density of Cohesionless Soil given Unit Weight of Soil, you need Minimum Unit Weight (γ_min), Dry Unit Weight (γ_dry) & Maximum Unit Weight (γ_max). With our tool, you need to enter the respective value for Minimum Unit Weight, Dry Unit Weight & Maximum Unit Weight 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 Minimum Unit Weight, Dry Unit Weight & Maximum Unit Weight. We can use 2 other way(s) to calculate the same, which is/are as follows -

Relative Density in Soil Mechanics = ((Maximum Void Ratio-Natural Void Ratio)/(Maximum Void Ratio-Minimum Void Ratio))
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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