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Minimum Unit Weight of Soil given Relative Density Formula

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Minimum Unit Weight of soil is ratio of weight of soil to maximum volume of soil. Check FAQs

γ min = (\frac{γ dry \cdot γ max \cdot (R - 1)}{(R \cdot γ dry) - γ max})

γ_min - Minimum Unit Weight?γ_dry - Dry Unit Weight?γ_max - Maximum Unit Weight?R - Relative Density?

Minimum Unit Weight of Soil given Relative Density Example

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Here is how the Minimum Unit Weight of Soil given Relative Density equation looks like with Values.

Here is how the Minimum Unit Weight of Soil given Relative Density equation looks like with Units.

Here is how the Minimum Unit Weight of Soil given Relative Density equation looks like.

10.6769 = (\frac{6.12 \cdot 10 \cdot (11 - 1)}{(11 \cdot 6.12) - 10})

10.6769kN/m³ = (\frac{6.12kN/m³ \cdot 10kN/m³ \cdot (11 - 1)}{(11 \cdot 6.12kN/m³) - 10kN/m³})

10.6769 = (\frac{6.12 \cdot 10 \cdot (11 - 1)}{(11 \cdot 6.12) - 10})

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Minimum Unit Weight of Soil given Relative Density Solution

Follow our step by step solution on how to calculate Minimum Unit Weight of Soil given Relative Density?

FIRST Step Consider the formula

γ min = (\frac{γ dry \cdot γ max \cdot (R - 1)}{(R \cdot γ dry) - γ max})

Next Step Substitute values of Variables

∴

γ min = (\frac{6.12kN/m³ \cdot 10kN/m³ \cdot (11 - 1)}{(11 \cdot 6.12kN/m³) - 10kN/m³})

Next Step Convert Units

∴

γ min = (\frac{6120N/m³ \cdot 10000N/m³ \cdot (11 - 1)}{(11 \cdot 6120N/m³) - 10000N/m³})

Next Step Prepare to Evaluate

∴

γ min = (\frac{6120 \cdot 10000 \cdot (11 - 1)}{(11 \cdot 6120) - 10000})

Next Step Evaluate

∴

γ min = 10676.9016050244N/m³

Next Step Convert to Output's Unit

∴

γ min = 10.6769016050244kN/m³

LAST Step Rounding Answer

∴

γ min = 10.6769kN/m³

Minimum Unit Weight of Soil given Relative Density Formula Elements

Variables

Minimum Unit Weight

Minimum Unit Weight of soil is ratio of weight of soil to maximum volume of soil.

Symbol: γ_min

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Minimum Unit Weight

Dry Unit Weight

Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.

Symbol: γ_dry

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Dry Unit Weight

Maximum Unit Weight

Maximum Unit Weight of soil is ratio of weight of soil to minimum volume of soil.

Symbol: γ_max

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Maximum Unit Weight

Relative Density

Relative Density is density of an object in terms of the density of another reference object.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Density

Other formulas in Soil Origin and Its Properties category

Go Relative Density of Cohesionless Soil given Void Ratio

R D = (\frac{e max - e o}{e max - e min})

Go Relative Density of Cohesionless Soil given Unit Weight of Soil

R D = \frac{(\frac{1}{γ min}) - (\frac{1}{γ dry})}{(\frac{1}{γ min}) - (\frac{1}{γ max})}

Go Maximum Void Ratio of Soil given Relative Density

e max = \frac{e o - (R \cdot e min)}{1 - R}

Go Minimum Void Ratio of Soil given Relative Density

e min = (e max - (\frac{e max - e o}{R}))

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

Minimum Unit Weight of Soil given Relative Density evaluator uses Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight)) to evaluate 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 evaluate Minimum Unit Weight of Soil given Relative Density using this online evaluator? To use this online evaluator 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.

FAQs on Minimum Unit Weight of Soil given Relative Density

What is the formula to find Minimum Unit Weight of Soil given Relative Density?

The formula of Minimum Unit Weight of Soil given Relative Density is expressed as Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight)). Here is an example- 0.010677 = ((6120*10000*(11-1))/((11*6120)-10000)).

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

With Dry Unit Weight (γ_dry), Maximum Unit Weight (γ_max) & Relative Density (R) we can find Minimum Unit Weight of Soil given Relative Density using the formula - Minimum Unit Weight = ((Dry Unit Weight*Maximum Unit Weight*(Relative Density-1))/((Relative Density*Dry Unit Weight)-Maximum Unit Weight)).

Can the Minimum Unit Weight of Soil given Relative Density be negative?

No, the Minimum Unit Weight of Soil given Relative Density, measured in Specific Weight cannot be negative.

Which unit is used to measure Minimum Unit Weight of Soil given Relative Density?

Minimum Unit Weight of Soil given Relative Density is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Minimum Unit Weight of Soil given Relative Density can be measured.

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Minimum Unit Weight of Soil given Relative Density Formula

Minimum Unit Weight of Soil given Relative Density Example

Minimum Unit Weight of Soil given Relative Density Solution

Minimum Unit Weight of Soil given Relative Density Formula Elements

Other formulas in Soil Origin and Its Properties category

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

FAQs on Minimum Unit Weight of Soil given Relative Density

Variable Name