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Dry Unit Weight of Soil given Relative Density Formula

GoDry Unit Weight of Soil with any Degree of Saturation Formula

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

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

γ_dry - Dry Unit Weight?γ_min - Minimum Unit Weight?γ_max - Maximum Unit Weight?R_D - Relative Density in Soil Mechanics?

Dry Unit Weight of Soil given Relative Density Example

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

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

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

7.5188 = (\frac{5 \cdot 10}{10 - 0.67 \cdot (10 - 5)})

7.5188kN/m³ = (\frac{5kN/m³ \cdot 10kN/m³}{10kN/m³ - 0.67 \cdot (10kN/m³ - 5kN/m³)})

7.5188 = (\frac{5 \cdot 10}{10 - 0.67 \cdot (10 - 5)})

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Dry Unit Weight of Soil given Relative Density Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ dry = (\frac{5kN/m³ \cdot 10kN/m³}{10kN/m³ - 0.67 \cdot (10kN/m³ - 5kN/m³)})

Next Step Prepare to Evaluate

∴

γ dry = (\frac{5 \cdot 10}{10 - 0.67 \cdot (10 - 5)})

Next Step Evaluate

∴

γ dry = 7518.7969924812N/m³

Next Step Convert to Output's Unit

∴

γ dry = 7.5187969924812kN/m³

LAST Step Rounding Answer

∴

γ dry = 7.5188kN/m³

Dry Unit Weight of Soil given Relative Density Formula Elements

Variables

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

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

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 in Soil Mechanics

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

Symbol: R_D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Density in Soil Mechanics

Other Formulas to find Dry Unit Weight

Go Dry Unit Weight of Soil with any Degree of Saturation

γ dry = (\frac{γ water \cdot G s \cdot S}{1 + (w s \cdot G s)})

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 Dry Unit Weight of Soil given Relative Density?

Dry Unit Weight of Soil given Relative Density evaluator uses Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight))) to evaluate the Dry Unit Weight, The Dry Unit Weight of Soil given Relative Density is defined as the unit weight of a soil when all void spaces of the soil are completely filled with air, with no water. Dry Unit Weight is denoted by γ_dry symbol.

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

FAQs on Dry Unit Weight of Soil given Relative Density

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

The formula of Dry Unit Weight of Soil given Relative Density is expressed as Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight))). Here is an example- 0.007519 = ((5000*10000)/(10000-0.67*(10000-5000))).

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

With Minimum Unit Weight (γ_min), Maximum Unit Weight (γ_max) & Relative Density in Soil Mechanics (R_D) we can find Dry Unit Weight of Soil given Relative Density using the formula - Dry Unit Weight = ((Minimum Unit Weight*Maximum Unit Weight)/(Maximum Unit Weight-Relative Density in Soil Mechanics*(Maximum Unit Weight-Minimum Unit Weight))).

What are the other ways to Calculate Dry Unit Weight?

Here are the different ways to Calculate Dry Unit Weight-

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)))

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

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

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

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

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Dry Unit Weight of Soil given Relative Density Formula

​GoDry Unit Weight of Soil with any Degree of Saturation Formula

Dry Unit Weight of Soil given Relative Density Example

Dry Unit Weight of Soil given Relative Density Solution

Dry Unit Weight of Soil given Relative Density Formula Elements

Other Formulas to find Dry Unit Weight

Other formulas in Soil Origin and Its Properties category

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

FAQs on Dry Unit Weight of Soil given Relative Density

Variable Name

GoDry Unit Weight of Soil with any Degree of Saturation Formula