Minimum Unit Weight of Soil given Relative Density Calculator

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

✖Minimum Unit Weight of soil is ratio of weight of soil to maximum volume of soil.ⓘ Minimum Unit Weight of Soil given Relative Density [γ_min]

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Minimum Unit Weight of Soil given Relative Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight))
γ_min = ((γ_dry*γ_max*(R-1))/((R*γ_dry)-γ_max))
This formula uses 4 Variables

Variables Used

Minimum Unit Weight - (Measured in Newton per Cubic Meter) - Minimum Unit Weight of soil is ratio of weight of soil to maximum volume of soil.
Dry Unit Weight - (Measured in Newton 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 Newton per Cubic Meter) - Maximum Unit Weight of soil is ratio of weight of soil to minimum volume of soil.
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

Dry Unit Weight: 6.12 Kilonewton per Cubic Meter --> 6120 Newton per Cubic Meter (Check conversion here)
Maximum Unit Weight: 10 Kilonewton per Cubic Meter --> 10000 Newton per Cubic Meter (Check conversion here)
Relative Density: 11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_min = ((γ_dry*γ_max*(R-1))/((R*γ_dry)-γ_max)) --> ((6120*10000*(11-1))/((11*6120)-10000))

Evaluating ... ...

γ_min = 10676.9016050244

STEP 3: Convert Result to Output's Unit

10676.9016050244 Newton per Cubic Meter -->10.6769016050244 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

10.6769016050244 ≈ 10.6769 Kilonewton per Cubic Meter <-- Minimum Unit Weight

(Calculation completed in 00.020 seconds)

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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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< 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 Unit Weight of Soil given Relative Density Formula

LaTeX Go

Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight))
γ_min = ((γ_dry*γ_max*(R-1))/((R*γ_dry)-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 Minimum Unit Weight of Soil given Relative Density?

Minimum Unit Weight of Soil given Relative Density calculator uses Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight)) to calculate the Minimum Unit Weight, The Minimum Unit Weight of Soil given Relative Density formula is defined as the ratio of the weight of soil to a maximum volume of soil. Minimum Unit Weight is denoted by γ_min symbol.

How to calculate Minimum Unit Weight of Soil given Relative Density using this online calculator? To use this online calculator for Minimum Unit Weight of Soil given Relative Density, enter Dry Unit Weight (γ_dry), Maximum Unit Weight (γ_max) & Relative Density (R) and hit the calculate button. Here is how the Minimum Unit Weight of Soil given Relative Density calculation can be explained with given input values -> 0.010677 = ((6120*10000*(11-1))/((11*6120)-10000)).

FAQ

What is Minimum Unit Weight of Soil given Relative Density?

The Minimum Unit Weight of Soil given Relative Density formula is defined as the ratio of the weight of soil to a maximum volume of soil and is represented as γ_min = ((γ_dry*γ_max*(R-1))/((R*γ_dry)-γ_max)) or Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight)). 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 & Relative Density is density of an object in terms of the density of another reference object.

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

The Minimum Unit Weight of Soil given Relative Density formula is defined as the ratio of the weight of soil to a maximum volume of soil is calculated using Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight)). To calculate Minimum Unit Weight of Soil given Relative Density, you need Dry Unit Weight (γ_dry), Maximum Unit Weight (γ_max) & Relative Density (R). With our tool, you need to enter the respective value for Dry Unit Weight, Maximum Unit Weight & 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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