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Maximum Unit Weight of Soil given Relative Density Formula

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

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

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

Maximum Unit Weight of Soil given Relative Density Example

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

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

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

5.0846 = (\frac{5 \cdot 6.12 \cdot 11}{6.12 \cdot (11 - 1) + 5})

5.0846kN/m³ = (\frac{5kN/m³ \cdot 6.12kN/m³ \cdot 11}{6.12kN/m³ \cdot (11 - 1) + 5kN/m³})

5.0846 = (\frac{5 \cdot 6.12 \cdot 11}{6.12 \cdot (11 - 1) + 5})

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Maximum Unit Weight of Soil given Relative Density Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ max = (\frac{5kN/m³ \cdot 6.12kN/m³ \cdot 11}{6.12kN/m³ \cdot (11 - 1) + 5kN/m³})

Next Step Prepare to Evaluate

∴

γ max = (\frac{5 \cdot 6.12 \cdot 11}{6.12 \cdot (11 - 1) + 5})

Next Step Evaluate

∴

γ max = 5084.59214501511N/m³

Next Step Convert to Output's Unit

∴

γ max = 5.08459214501511kN/m³

LAST Step Rounding Answer

∴

γ max = 5.0846kN/m³

Maximum Unit Weight of Soil given Relative Density Formula Elements

Variables

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

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

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 Maximum Unit Weight of Soil given Relative Density?

Maximum Unit Weight of Soil given Relative Density evaluator uses Maximum Unit Weight = ((Minimum Unit Weight*Dry Unit Weight*Relative Density)/(Dry Unit Weight*(Relative Density-1)+Minimum Unit Weight)) to evaluate the Maximum Unit Weight, The Maximum Unit Weight of Soil given Relative Density formula is defined as the ratio of the weight of soil to a minimum volume of soil. Maximum Unit Weight is denoted by γ_max symbol.

How to evaluate Maximum Unit Weight of Soil given Relative Density using this online evaluator? To use this online evaluator for Maximum Unit Weight of Soil given Relative Density, enter Minimum Unit Weight (γ_min), Dry Unit Weight (γ_dry) & Relative Density (R) and hit the calculate button.

FAQs on Maximum Unit Weight of Soil given Relative Density

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

The formula of Maximum Unit Weight of Soil given Relative Density is expressed as Maximum Unit Weight = ((Minimum Unit Weight*Dry Unit Weight*Relative Density)/(Dry Unit Weight*(Relative Density-1)+Minimum Unit Weight)). Here is an example- 0.005085 = ((5000*6120*11)/(6120*(11-1)+5000)).

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

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

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

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

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

Maximum 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 Maximum Unit Weight of Soil given Relative Density can be measured.

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Maximum Unit Weight of Soil given Relative Density Formula

Maximum Unit Weight of Soil given Relative Density Example

Maximum Unit Weight of Soil given Relative Density Solution

Maximum Unit Weight of Soil given Relative Density Formula Elements

Other formulas in Soil Origin and Its Properties category

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

FAQs on Maximum Unit Weight of Soil given Relative Density

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