Dry Density Given Void Ratio Calculator

✖Specific Gravity of Soil is defined as the ratio of the weight of a given volume of soil solids to the weight of an equal volume of water at a specified temperature (usually 4°C).ⓘ Specific Gravity of Soil [G_s]			+10% -10%
✖Density of Water is the weight of the water per unit volume, which depends on the temperature of the water.ⓘ Density of Water [ρ_w]			+10% -10%
✖Void Ratio is the ratio of the volume of voids to the volume of solids.ⓘ Void Ratio [e]			+10% -10%

✖Dry Density in Soil Mechanics is the ratio of mass of dry soil to its volume.ⓘ Dry Density Given Void Ratio [ρ_ds]

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Formula

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Dry Density Given Void Ratio

Formula

ρ ds = \frac{G s \cdot ρ w}{1 + e}

Example

1200.932 kg/m³ = \frac{2.65 \cdot 997.0 kg/m³}{1 + 1.2}

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Dry Density Given Void Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dry Density in Soil Mechanics = (Specific Gravity of Soil*Density of Water)/(1+Void Ratio)
ρ_ds = (G_s*ρ_w)/(1+e)
This formula uses 4 Variables

Variables Used

Dry Density in Soil Mechanics - (Measured in Kilogram per Cubic Meter) - Dry Density in Soil Mechanics is the ratio of mass of dry soil to its volume.
Specific Gravity of Soil - Specific Gravity of Soil is defined as the ratio of the weight of a given volume of soil solids to the weight of an equal volume of water at a specified temperature (usually 4°C).
Density of Water - (Measured in Kilogram per Cubic Meter) - Density of Water is the weight of the water per unit volume, which depends on the temperature of the water.
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

Specific Gravity of Soil: 2.65 --> No Conversion Required
Density of Water: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Void Ratio: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_ds = (G_s*ρ_w)/(1+e) --> (2.65*997)/(1+1.2)

Evaluating ... ...

ρ_ds = 1200.93181818182

STEP 3: Convert Result to Output's Unit

1200.93181818182 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1200.93181818182 ≈ 1200.932 Kilogram per Cubic Meter <-- Dry Density in Soil Mechanics

(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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< Density of Soil Calculators

Dry Density of Soil

Go Dry Density = Weight of Solids in Soil Mechanics/Total Volume in Soil Mechanics

Total Volume of Soil given Bulk Density of Soil

Go Total Volume in Soil Mechanics = Total Weight of Soil/Bulk Density of Soil

Total Mass of Soil given Bulk Density of Soil

Go Total Weight of Soil = Bulk Density of Soil*Total Volume in Soil Mechanics

Bulk Density of Soil

Go Bulk Density of Soil = Total Weight of Soil/Total Volume in Soil Mechanics

Dry Density Given Void Ratio Formula

Dry Density in Soil Mechanics = (Specific Gravity of Soil*Density of Water)/(1+Void Ratio)
ρ_ds = (G_s*ρ_w)/(1+e)

What is Void Ratio?

The void ratio of a mixture is the ratio of the volume of voids to volume of solids. It is a dimensionless quantity in materials science, and is closely related to porosity.

How to Calculate Dry Density Given Void Ratio?

Dry Density Given Void Ratio calculator uses Dry Density in Soil Mechanics = (Specific Gravity of Soil*Density of Water)/(1+Void Ratio) to calculate the Dry Density in Soil Mechanics, The Dry Density Given Void Ratio formula is defined as the density of the soil, when it is taken in the dry state. The soil mass is commonly a mixture of air, water and soil solids. The dry density refers to the soil solids. It is otherwise called as dry unit weight of soil. Dry Density in Soil Mechanics is denoted by ρ_ds symbol.

How to calculate Dry Density Given Void Ratio using this online calculator? To use this online calculator for Dry Density Given Void Ratio, enter Specific Gravity of Soil (G_s), Density of Water (ρ_w) & Void Ratio (e) and hit the calculate button. Here is how the Dry Density Given Void Ratio calculation can be explained with given input values -> 1200.932 = (2.65*997)/(1+1.2).

FAQ

What is Dry Density Given Void Ratio?

The Dry Density Given Void Ratio formula is defined as the density of the soil, when it is taken in the dry state. The soil mass is commonly a mixture of air, water and soil solids. The dry density refers to the soil solids. It is otherwise called as dry unit weight of soil and is represented as ρ_ds = (G_s*ρ_w)/(1+e) or Dry Density in Soil Mechanics = (Specific Gravity of Soil*Density of Water)/(1+Void Ratio). Specific Gravity of Soil is defined as the ratio of the weight of a given volume of soil solids to the weight of an equal volume of water at a specified temperature (usually 4°C), Density of Water is the weight of the water per unit volume, which depends on the temperature of the water & Void Ratio is the ratio of the volume of voids to the volume of solids.

How to calculate Dry Density Given Void Ratio?

The Dry Density Given Void Ratio formula is defined as the density of the soil, when it is taken in the dry state. The soil mass is commonly a mixture of air, water and soil solids. The dry density refers to the soil solids. It is otherwise called as dry unit weight of soil is calculated using Dry Density in Soil Mechanics = (Specific Gravity of Soil*Density of Water)/(1+Void Ratio). To calculate Dry Density Given Void Ratio, you need Specific Gravity of Soil (G_s), Density of Water (ρ_w) & Void Ratio (e). With our tool, you need to enter the respective value for Specific Gravity of Soil, Density of Water & 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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