✖Density Compaction Ratio is the ratio of minimum dry density to maximum dry density.ⓘ Density Compaction Ratio [DCR]			+10% -10%
✖Relative Compaction the ratio of the density of a compacted soil or aggregate material to its maximum achievable density under specific conditions.ⓘ Relative Compaction [R_c]			+10% -10%

✖Relative density is the ratio of the density of a soil or granular material in its natural, in-situ state to the maximum density it can achieve when fully compacted under controlled conditions.ⓘ Relative Density given Relative Compaction [RD]

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Formula

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Relative Density given Relative Compaction

Formula

`"RD" = ("DCR"-"R"_{"c"})/("R"_{"c"}*("DCR"-1))`

Example

`"3.4"=("0.8"-"2.5")/("2.5"*("0.8"-1))`

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Relative Density given Relative Compaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Density = (Density Compaction Ratio-Relative Compaction)/(Relative Compaction*(Density Compaction Ratio-1))
RD = (DCR-R_c)/(R_c*(DCR-1))
This formula uses 3 Variables

Variables Used

Relative Density - Relative density is the ratio of the density of a soil or granular material in its natural, in-situ state to the maximum density it can achieve when fully compacted under controlled conditions.
Density Compaction Ratio - Density Compaction Ratio is the ratio of minimum dry density to maximum dry density.
Relative Compaction - Relative Compaction the ratio of the density of a compacted soil or aggregate material to its maximum achievable density under specific conditions.

STEP 1: Convert Input(s) to Base Unit

Density Compaction Ratio: 0.8 --> No Conversion Required
Relative Compaction: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

RD = (DCR-R_c)/(R_c*(DCR-1)) --> (0.8-2.5)/(2.5*(0.8-1))

Evaluating ... ...

RD = 3.4

STEP 3: Convert Result to Output's Unit

3.4 --> No Conversion Required

FINAL ANSWER

3.4 <-- Relative Density

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

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 Density given Relative Compaction Formula

Relative Density = (Density Compaction Ratio-Relative Compaction)/(Relative Compaction*(Density Compaction Ratio-1))
RD = (DCR-R_c)/(R_c*(DCR-1))

What is Relative Compaction?

Relative compaction is the ratio of in-place wet density to test the maximum wet density of the same soil or aggregate. In-place wet density is determined in the field using sand volume cone, volumetric, or other field soil density apparatus.

How to Calculate Relative Density given Relative Compaction?

Relative Density given Relative Compaction calculator uses Relative Density = (Density Compaction Ratio-Relative Compaction)/(Relative Compaction*(Density Compaction Ratio-1)) to calculate the Relative Density, The Relative Density given Relative Compaction formula is defined as the ratio of the actual density of a soil or granular material to the maximum density it can achieve under ideal conditions. Relative Density is denoted by RD symbol.

How to calculate Relative Density given Relative Compaction using this online calculator? To use this online calculator for Relative Density given Relative Compaction, enter Density Compaction Ratio (DCR) & Relative Compaction (R_c) and hit the calculate button. Here is how the Relative Density given Relative Compaction calculation can be explained with given input values -> 3.4 = (0.8-2.5)/(2.5*(0.8-1)).

FAQ

What is Relative Density given Relative Compaction?

The Relative Density given Relative Compaction formula is defined as the ratio of the actual density of a soil or granular material to the maximum density it can achieve under ideal conditions and is represented as RD = (DCR-R_c)/(R_c*(DCR-1)) or Relative Density = (Density Compaction Ratio-Relative Compaction)/(Relative Compaction*(Density Compaction Ratio-1)). Density Compaction Ratio is the ratio of minimum dry density to maximum dry density & Relative Compaction the ratio of the density of a compacted soil or aggregate material to its maximum achievable density under specific conditions.

How to calculate Relative Density given Relative Compaction?

The Relative Density given Relative Compaction formula is defined as the ratio of the actual density of a soil or granular material to the maximum density it can achieve under ideal conditions is calculated using Relative Density = (Density Compaction Ratio-Relative Compaction)/(Relative Compaction*(Density Compaction Ratio-1)). To calculate Relative Density given Relative Compaction, you need Density Compaction Ratio (DCR) & Relative Compaction (R_c). With our tool, you need to enter the respective value for Density Compaction Ratio & Relative Compaction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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