Density Compaction given Relative Compaction in Relative Density Calculator

✖Relative Compaction is the ratio of dry density to max dry density.ⓘ Relative Compaction [R_c]			+10% -10%
✖Relative density is density of an object in terms of the density of another reference object.ⓘ Relative Density [RD]			+10% -10%

✖Density Compaction Ratio is the ratio of minimum dry density to maximum dry density.ⓘ Density Compaction given Relative Compaction in Relative Density [DCR]

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Formula

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Density Compaction given Relative Compaction in Relative Density

Formula

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

Example

`"0.943396"="2.5"*(1-"11")/(1-("2.5"*"11"))`

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Density Compaction given Relative Compaction in Relative Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Density Compaction Ratio - Density Compaction Ratio is the ratio of minimum dry density to maximum dry density.
Relative Compaction - Relative Compaction is the ratio of dry density to max dry density.
Relative Density - Relative density is density of an object in terms of the density of another reference object.

STEP 1: Convert Input(s) to Base Unit

Relative Compaction: 2.5 --> No Conversion Required
Relative Density: 11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

DCR = R_c*(1-RD)/(1-(R_c*RD)) --> 2.5*(1-11)/(1-(2.5*11))

Evaluating ... ...

DCR = 0.943396226415094

STEP 3: Convert Result to Output's Unit

0.943396226415094 --> No Conversion Required

FINAL ANSWER

0.943396226415094 ≈ 0.943396 <-- Density Compaction Ratio

(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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Birsa Institute of Technology (BIT), Sindri

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< 11 Relative Compaction Calculators

Relative Density given Relative Compaction in Relative Density

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 Dry Density Minimum = Density Compaction Ratio*Dry Density Maximum

Maximum Dry Density given Density Compaction

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

Density Compaction

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

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)

Maximum Dry Density given Relative Compaction in Density

Go Dry Density Maximum = Dry Density/Relative Compaction

Dry Density given Relative Compaction in Density

Go Dry Density = Relative Compaction*Dry Density Maximum

Relative Compaction given Density

Go Relative Compaction = Dry Density/Dry Density Maximum

Density Compaction given Relative Compaction in Relative Density Formula

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

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 Density Compaction given Relative Compaction in Relative Density?

Density Compaction given Relative Compaction in Relative Density calculator uses Density Compaction Ratio = Relative Compaction*(1-Relative Density)/(1-(Relative Compaction*Relative Density)) to calculate the Density Compaction Ratio, The Density Compaction given Relative Compaction in Relative Density is defined as a process of increasing soil density and removing air, usually by mechanical means. The size of the individual soil particles does not change, neither is water removed. Purposeful compaction is intended to improve the strength and stiffness of soil. Density Compaction Ratio is denoted by DCR symbol.

How to calculate Density Compaction given Relative Compaction in Relative Density using this online calculator? To use this online calculator for Density Compaction given Relative Compaction in Relative Density, enter Relative Compaction (R_c) & Relative Density (RD) and hit the calculate button. Here is how the Density Compaction given Relative Compaction in Relative Density calculation can be explained with given input values -> 0.943396 = 2.5*(1-11)/(1-(2.5*11)).

FAQ

What is Density Compaction given Relative Compaction in Relative Density?

The Density Compaction given Relative Compaction in Relative Density is defined as a process of increasing soil density and removing air, usually by mechanical means. The size of the individual soil particles does not change, neither is water removed. Purposeful compaction is intended to improve the strength and stiffness of soil and is represented as DCR = R_c*(1-RD)/(1-(R_c*RD)) or Density Compaction Ratio = Relative Compaction*(1-Relative Density)/(1-(Relative Compaction*Relative Density)). Relative Compaction is the ratio of dry density to max dry density & Relative density is density of an object in terms of the density of another reference object.

How to calculate Density Compaction given Relative Compaction in Relative Density?

The Density Compaction given Relative Compaction in Relative Density is defined as a process of increasing soil density and removing air, usually by mechanical means. The size of the individual soil particles does not change, neither is water removed. Purposeful compaction is intended to improve the strength and stiffness of soil is calculated using Density Compaction Ratio = Relative Compaction*(1-Relative Density)/(1-(Relative Compaction*Relative Density)). To calculate Density Compaction given Relative Compaction in Relative Density, you need Relative Compaction (R_c) & Relative Density (RD). With our tool, you need to enter the respective value for Relative Compaction & Relative 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 Density Compaction Ratio?

In this formula, Density Compaction Ratio uses Relative Compaction & Relative Density. We can use 1 other way(s) to calculate the same, which is/are as follows -

Density Compaction Ratio = Dry Density Minimum/Dry Density Maximum

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