Size of Smallest Particle in Fuller Law Calculator

Fuller Law Formula:

\[ d = D \times \left(\frac{P_{\text{weight}}}{100}\right)^{\frac{1}{n}} \]

Smallest Particle (d):

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1. What is the Fuller Law?

The Fuller Law is a mathematical formula used to determine the size of the smallest particle in an aggregate mixture based on the largest particle size, percentage weight, and coarseness of aggregates. It helps in optimizing particle size distribution for various engineering applications.

2. How Does the Calculator Work?

The calculator uses the Fuller Law formula:

\[ d = D \times \left(\frac{P_{\text{weight}}}{100}\right)^{\frac{1}{n}} \]

Where:

\( d \) — Smallest particle size (m)
\( D \) — Largest particle size (m)
\( P_{\text{weight}} \) — Percentage of weight (%)
\( n \) — Coarseness of aggregates

Explanation: The equation calculates the smallest particle size based on the proportional relationship between particle sizes and their weight distribution in the aggregate mixture.

3. Importance of Particle Size Calculation

Details: Accurate particle size calculation is crucial for material science, construction engineering, and aggregate mixture optimization. It helps in determining the appropriate gradation of materials for specific applications.

4. Using the Calculator

Tips: Enter largest particle size in meters, percentage of weight (0-100%), and coarseness of aggregates. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the practical application of Fuller Law?
A: Fuller Law is commonly used in concrete technology and road construction to optimize aggregate gradation for better packing density and strength.

Q2: How does coarseness of aggregates affect the result?
A: Higher coarseness values result in a more gradual particle size distribution, while lower values indicate a more uniform distribution.

Q3: What are typical values for coarseness of aggregates?
A: Coarseness values typically range from 0.3 to 0.7, with 0.5 being a common value for well-graded aggregates.

Q4: Can this formula be used for all types of materials?
A: While primarily used for construction aggregates, the formula can be applied to other particulate materials with similar size distribution characteristics.

Q5: How accurate is the Fuller Law calculation?
A: The accuracy depends on the input values and how well the actual material follows the Fuller distribution curve. It provides a good estimation for most practical purposes.