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Volume of Solids given Density of Solids Calculator

Volume of Solids Formula:

\[ V_{so} = \frac{W_s}{\rho_d} \]

kg
kg/m³
%

1. What is Volume of Solids in Soil?

Definition: Volume of Solids in Soil is the space captured by the solid particles present in the soil.

Purpose: This calculation is essential in geotechnical engineering for determining soil composition and properties.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{so} = \frac{W_s}{\rho_d} \]

Where:

  • \( V_{so} \) — Volume of solids (cubic meters)
  • \( W_s \) — Weight of solids (kilograms)
  • \( \rho_d \) — Dry density (kilograms per cubic meter)

Explanation: The weight of solids is divided by the dry density to determine the volume occupied by the solid particles in the soil.

3. Importance of Volume of Solids Calculation

Details: Accurate calculation helps in determining porosity, void ratio, and other critical soil parameters for construction and engineering projects.

4. Using the Calculator

Tips: Enter the weight of solids in kg, dry density in kg/m³, and optional tolerance percentage. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is dry density in soil mechanics?
A: Dry density is the mass of soil solids per unit total volume of soil when the soil is completely dry.

Q2: Why include a tolerance percentage?
A: The tolerance accounts for measurement uncertainties and natural variations in soil composition.

Q3: Typical values for dry density?
A: Dry density typically ranges from 1.3 to 2.0 g/cm³ (1300-2000 kg/m³) depending on soil type.

Q4: How to measure weight of solids?
A: Weight of solids is measured by drying a soil sample completely and weighing it.

Q5: What affects volume of solids?
A: Particle size distribution, mineral composition, and packing arrangement affect the volume.

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