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Relative Compaction given Density Formula

GoRelative Compaction given Void Ratio Formula

GoRelative Compaction given Relative Density Formula

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Relative Compaction is the ratio of the density of a compacted soil or aggregate material to its maximum achievable density under specific conditions. Check FAQs

R c = \frac{ρ d}{γ dmax}

R_c - Relative Compaction?ρ_d - Dry Density?γ_dmax - Maximum Dry Density?

Relative Compaction given Density Example

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Here is how the Relative Compaction given Density equation looks like with Values.

Here is how the Relative Compaction given Density equation looks like with Units.

Here is how the Relative Compaction given Density equation looks like.

2.1008 = \frac{10}{4.76}

2.1008 = \frac{10kg/m³}{4.76kg/m³}

2.1008 = \frac{10}{4.76}

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Relative Compaction given Density Solution

Follow our step by step solution on how to calculate Relative Compaction given Density?

FIRST Step Consider the formula

R c = \frac{ρ d}{γ dmax}

Next Step Substitute values of Variables

∴

R c = \frac{10kg/m³}{4.76kg/m³}

Next Step Prepare to Evaluate

∴

R c = \frac{10}{4.76}

Next Step Evaluate

∴

R c = 2.10084033613445

LAST Step Rounding Answer

∴

R c = 2.1008

Relative Compaction given Density Formula Elements

Variables

Relative Compaction

Relative Compaction is the ratio of the density of a compacted soil or aggregate material to its maximum achievable density under specific conditions.

Symbol: R_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Compaction

Dry Density

Dry Density is a measure of the mass of solids per unit volume of soil, excluding the pore spaces filled with water or air. It is expressed in terms of mass per unit volume.

Symbol: ρ_d

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Dry Density

Maximum Dry Density

Maximum Dry Density is the highest density that a soil sample can achieve when compacted at its optimum moisture content under standard or modified effort.

Symbol: γ_dmax

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Maximum Dry Density

Other Formulas to find Relative Compaction

Go Relative Compaction given Void Ratio

R c = \frac{1 + e min}{1 + e}

Go Relative Compaction given Relative Density

R c = \frac{DCR}{1 - RD \cdot (1 - R o)}

Other formulas in Relative Compaction category

Go Dry Density given Relative Compaction in Density

ρ d = R c \cdot γ dmax

Go Maximum Dry Density given Relative Compaction

γ dmax = \frac{ρ d}{R c}

Go Minimum Void Ratio given Relative Compaction in Void Ratio

e min = (R c \cdot (1 + e)) - 1

Go Relative Density given Relative Compaction

RD = \frac{DCR - R c}{R c \cdot (DCR - 1)}

How to Evaluate Relative Compaction given Density?

Relative Compaction given Density evaluator uses Relative Compaction = Dry Density/Maximum Dry Density to evaluate the Relative Compaction, The Relative Compaction given Density formula is defined as the relationship between the achieved density of a compacted soil or material and a reference density, often the maximum dry density (Proctor density) obtained from a standard compaction test (such as Modified Proctor or Standard Proctor test). Relative Compaction is denoted by R_c symbol.

How to evaluate Relative Compaction given Density using this online evaluator? To use this online evaluator for Relative Compaction given Density, enter Dry Density (ρ_d) & Maximum Dry Density (γ_dmax) and hit the calculate button.

FAQs on Relative Compaction given Density

What is the formula to find Relative Compaction given Density?

The formula of Relative Compaction given Density is expressed as Relative Compaction = Dry Density/Maximum Dry Density. Here is an example- 2.10084 = 10/4.76.

How to calculate Relative Compaction given Density?

With Dry Density (ρ_d) & Maximum Dry Density (γ_dmax) we can find Relative Compaction given Density using the formula - Relative Compaction = Dry Density/Maximum Dry Density.

What are the other ways to Calculate Relative Compaction?

Here are the different ways to Calculate Relative Compaction-

Relative Compaction=(1+Minimum Void Ratio)/(1+Void Ratio)
Relative Compaction=Density Compaction Ratio/(1-Relative Density*(1-Density Compaction))

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Relative Compaction given Density Formula

​GoRelative Compaction given Void Ratio Formula

​GoRelative Compaction given Relative Density Formula

Relative Compaction given Density Example

Relative Compaction given Density Solution

Relative Compaction given Density Formula Elements

Other Formulas to find Relative Compaction

Other formulas in Relative Compaction category

How to Evaluate Relative Compaction given Density?

FAQs on Relative Compaction given Density

Variable Name

GoRelative Compaction given Void Ratio Formula

GoRelative Compaction given Relative Density Formula