Specific Weight of Mixture for Concentration of Soil in Volumetric Basis Calculator

Formula Used:

\[ \gamma_m = C_v \times (\gamma_g - \gamma_w) + \gamma_w \]

Concentration of Soil in the Mixture (Cv):

m³

Specific Weight of Dry Sand Grains (γg):

N/m³

Specific Weight of Water (γw):

N/m³

Specific Weight of the Mixture (γm):

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1. What is Specific Weight of Mixture?

Specific Weight of the Mixture refers to the weight per unit volume of a mixture, such as water and suspended sediments or other materials, found in coastal environments. It is an important parameter in geotechnical and hydraulic engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \gamma_m = C_v \times (\gamma_g - \gamma_w) + \gamma_w \]

Where:

\( \gamma_m \) — Specific Weight of the Mixture (N/m³)
\( C_v \) — Concentration of Soil in the Mixture (m³)
\( \gamma_g \) — Specific Weight of Dry Sand Grains (N/m³)
\( \gamma_w \) — Specific Weight of Water (N/m³)

Explanation: The formula calculates the specific weight of a soil-water mixture based on the volumetric concentration of soil and the specific weights of the dry soil particles and water.

3. Importance of Specific Weight Calculation

Details: Accurate calculation of specific weight is crucial for designing hydraulic structures, analyzing soil stability, and predicting sediment transport in coastal and geotechnical engineering applications.

4. Using the Calculator

Tips: Enter concentration of soil in m³ (between 0 and 1), specific weight of dry sand grains in N/m³, and specific weight of water in N/m³. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for concentration of soil in mixture?
A: Concentration values typically range from 0 (pure water) to 1 (pure soil), though most practical mixtures have values between 0 and 0.6.

Q2: What are typical values for specific weight of dry sand grains?
A: Specific weight of dry sand grains typically ranges from 15,000 to 27,000 N/m³, depending on the mineral composition and packing.

Q3: Why is specific weight of water important in this calculation?
A: Water serves as the base fluid in the mixture, and its specific weight provides the baseline from which the mixture's specific weight is calculated.

Q4: Can this formula be used for mixtures other than sand-water?
A: While developed for sand-water mixtures, the formula can be applied to other granular materials in fluid mixtures with appropriate adjustments.

Q5: How does temperature affect the calculation?
A: Temperature affects the specific weight of water, which should be accounted for in precise calculations, especially in temperature-varying environments.