✖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.ⓘ Dry Density [ρ_d]			+10% -10%
✖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.ⓘ Maximum Dry Density [γ_dmax]			+10% -10%

✖Relative Compaction is the ratio of the density of a compacted soil or aggregate material to its maximum achievable density under specific conditions.ⓘ Relative Compaction given Density [R_c]

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Relative Compaction given Density

Formula

`"R"_{"c"} = "ρ"_{"d"}/"γ"_{"dmax"}`

Example

`"2.10084"="10kg/m³"/"4.76kg/m³"`

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Relative Compaction given Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Compaction = Dry Density/Maximum Dry Density
R_c = ρ_d/γ_dmax
This formula uses 3 Variables

Variables Used

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.
Dry Density - (Measured in Kilogram per Cubic Meter) - 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.
Maximum Dry Density - (Measured in Kilogram per Cubic Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Dry Density: 10 Kilogram per Cubic Meter --> 10 Kilogram per Cubic Meter No Conversion Required
Maximum Dry Density: 4.76 Kilogram per Cubic Meter --> 4.76 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_c = ρ_d/γ_dmax --> 10/4.76

Evaluating ... ...

R_c = 2.10084033613445

STEP 3: Convert Result to Output's Unit

2.10084033613445 --> No Conversion Required

FINAL ANSWER

2.10084033613445 ≈ 2.10084 <-- Relative Compaction

(Calculation completed in 00.020 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 11 Relative Compaction Calculators

Relative Density given Relative Compaction

Go Relative Density = (Density Compaction Ratio-Relative Compaction)/(Relative Compaction*(Density Compaction Ratio-1))

Density Compaction given Relative Compaction in Relative Density

Go Density Compaction Ratio = Relative Compaction*(1-Relative Density)/(1-(Relative Compaction*Relative Density))

Relative Compaction given Relative Density

Go Relative Compaction = Density Compaction Ratio/(1-Relative Density*(1-Density Compaction))

Minimum Dry Density given Density Compaction

Go Minimum Dry Density = Density Compaction Ratio*Maximum Dry Density

Maximum Dry Density given Density Compaction

Go Maximum Dry Density = Minimum Dry Density/Density Compaction Ratio

Density Compaction

Go Density Compaction Ratio = Minimum Dry Density/Maximum Dry Density

Minimum Void Ratio given Relative Compaction in Void Ratio

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

Relative Compaction given Void Ratio

Go Relative Compaction = (1+Minimum Void Ratio)/(1+Void Ratio)

Dry Density given Relative Compaction in Density

Go Dry Density = Relative Compaction*Maximum Dry Density

Maximum Dry Density given Relative Compaction

Go Maximum Dry Density = Dry Density/Relative Compaction

Relative Compaction given Density

Go Relative Compaction = Dry Density/Maximum Dry Density

Relative Compaction given Density Formula

Relative Compaction = Dry Density/Maximum Dry Density
R_c = ρ_d/γ_dmax

What is Dry Density?

Dry density of soil is defined as the ratio of Mass of solids to the total volume of the soil. To obtain relationship between the moisture content and dry density, multiply the numerator and denominator of expression of dry density with “M” which is mass of soil sample.

How to Calculate Relative Compaction given Density?

Relative Compaction given Density calculator uses Relative Compaction = Dry Density/Maximum Dry Density to calculate 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 calculate Relative Compaction given Density using this online calculator? To use this online calculator for Relative Compaction given Density, enter Dry Density (ρ_d) & Maximum Dry Density (γ_dmax) and hit the calculate button. Here is how the Relative Compaction given Density calculation can be explained with given input values -> 2.10084 = 10/4.76.

FAQ

What is Relative Compaction given Density?

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) and is represented as R_c = ρ_d/γ_dmax or Relative Compaction = Dry Density/Maximum 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 & 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.

How to calculate Relative Compaction given Density?

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) is calculated using Relative Compaction = Dry Density/Maximum Dry Density. To calculate Relative Compaction given Density, you need Dry Density (ρ_d) & Maximum Dry Density (γ_dmax). With our tool, you need to enter the respective value for Dry Density & Maximum Dry Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Relative Compaction?

In this formula, Relative Compaction uses Dry Density & Maximum Dry Density. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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