Minimum Void Ratio given Relative Compaction in Void Ratio Calculator

✖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 [R_c]			+10% -10%
✖Void Ratio is the ratio of the volume of voids (pores or spaces) to the volume of solids in a soil or rock mass.ⓘ Void Ratio [e]			+10% -10%

✖Minimum Void Ratio is the ratio of the volume of voids to the volume of solids in a soil mass. It is the smallest ratio of the volume of voids to the volume of solids in a soil sample.ⓘ 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 \cdot (1 + e)) - 1

Example

4.5 = (2.5 \cdot (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 the volume of voids to the volume of solids in a soil mass. It is the smallest ratio of the volume of voids to the volume of solids in a soil sample.
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.
Void Ratio - Void Ratio is the ratio of the volume of voids (pores or spaces) to the volume of solids in a soil or rock mass.

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 00.020 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Relative Compaction Calculators

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

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 relationship between the void ratio of a soil sample and its relative compaction state. It helps engineers understand how much the soil can be compacted before achieving its densest state. 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 relationship between the void ratio of a soil sample and its relative compaction state. It helps engineers understand how much the soil can be compacted before achieving its densest state 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 the density of a compacted soil or aggregate material to its maximum achievable density under specific conditions & Void Ratio is the ratio of the volume of voids (pores or spaces) to the volume of solids in a soil or rock mass.

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 relationship between the void ratio of a soil sample and its relative compaction state. It helps engineers understand how much the soil can be compacted before achieving its densest state 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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