Minimum Void Ratio given Relative Compaction in Void Ratio Calculator

✖Relative Compaction is the ratio of dry density to max dry density.ⓘ Relative Compaction [R_c]			+10% -10%
✖Void Ratio is the ratio of the volume of voids to the volume of solids.ⓘ Void Ratio [e]			+10% -10%

✖Minimum Void Ratio is the ratio of soil in its densest state.ⓘ Minimum Void Ratio given Relative Compaction in Void Ratio [e_min]

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Formula

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Minimum Void Ratio given Relative Compaction in Void Ratio

Formula

`"e"_{"min"} = ("R"_{"c"}*(1+"e"))-1`

Example

`"4.5"=("2.5"*(1+"1.2"))-1`

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Minimum Void Ratio given Relative Compaction in Void Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Void Ratio = (Relative Compaction*(1+Void Ratio))-1
e_min = (R_c*(1+e))-1
This formula uses 3 Variables

Variables Used

Minimum Void Ratio - Minimum Void Ratio is the ratio of soil in its densest state.
Relative Compaction - Relative Compaction is the ratio of dry density to max dry density.
Void Ratio - Void Ratio is the ratio of the volume of voids to the volume of solids.

STEP 1: Convert Input(s) to Base Unit

Relative Compaction: 2.5 --> No Conversion Required
Void Ratio: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_min = (R_c*(1+e))-1 --> (2.5*(1+1.2))-1

Evaluating ... ...

e_min = 4.5

STEP 3: Convert Result to Output's Unit

4.5 --> No Conversion Required

FINAL ANSWER

4.5 <-- Minimum Void Ratio

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

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

Minimum Void Ratio given Relative Compaction in Void Ratio Formula

Minimum Void Ratio = (Relative Compaction*(1+Void Ratio))-1
e_min = (R_c*(1+e))-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 Minimum Void Ratio given Relative Compaction in Void Ratio?

Minimum Void Ratio given Relative Compaction in Void Ratio calculator uses Minimum Void Ratio = (Relative Compaction*(1+Void Ratio))-1 to calculate the Minimum Void Ratio, The Minimum Void Ratio given Relative Compaction in Void Ratio is defined as the ratio of the volume of voids to volume of solids. It is a dimensionless quantity. Minimum Void Ratio is denoted by e_min symbol.

How to calculate Minimum Void Ratio given Relative Compaction in Void Ratio using this online calculator? To use this online calculator for Minimum Void Ratio given Relative Compaction in Void Ratio, enter Relative Compaction (R_c) & Void Ratio (e) and hit the calculate button. Here is how the Minimum Void Ratio given Relative Compaction in Void Ratio calculation can be explained with given input values -> 4.5 = (2.5*(1+1.2))-1.

FAQ

What is Minimum Void Ratio given Relative Compaction in Void Ratio?

The Minimum Void Ratio given Relative Compaction in Void Ratio is defined as the ratio of the volume of voids to volume of solids. It is a dimensionless quantity and is represented as e_min = (R_c*(1+e))-1 or Minimum Void Ratio = (Relative Compaction*(1+Void Ratio))-1. Relative Compaction is the ratio of dry density to max dry density & Void Ratio is the ratio of the volume of voids to the volume of solids.

How to calculate Minimum Void Ratio given Relative Compaction in Void Ratio?

The Minimum Void Ratio given Relative Compaction in Void Ratio is defined as the ratio of the volume of voids to volume of solids. It is a dimensionless quantity is calculated using Minimum Void Ratio = (Relative Compaction*(1+Void Ratio))-1. To calculate Minimum Void Ratio given Relative Compaction in Void Ratio, you need Relative Compaction (R_c) & Void Ratio (e). With our tool, you need to enter the respective value for Relative Compaction & Void Ratio 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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