1. What is the Fuller Law?

The Fuller Law is an empirical formula used to calculate the percentage by weight of particles in a granular material based on particle size distribution. It helps characterize the coarseness or fineness of aggregate mixtures in construction materials.

2. How Does the Calculator Work?

The calculator uses the Fuller Law formula:

Where:

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

Explanation: The formula calculates the percentage weight of particles that are smaller than a given size in an aggregate mixture, based on the ratio of smallest to largest particle sizes raised to the power of coarseness factor.

3. Importance of Percentage of Weight Calculation

Details: Calculating percentage by weight is crucial for determining optimal aggregate gradation in concrete and asphalt mixtures, ensuring proper packing density and material performance.

4. Using the Calculator

Tips: Enter smallest and largest particle sizes in meters, and the coarseness factor. All values must be positive numbers with largest particle > smallest particle.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for coarseness factor (n)?
A: The coarseness factor typically ranges from 0.3 to 0.7, with 0.5 being commonly used for well-graded aggregates.

Q2: How does particle size affect the percentage calculation?
A: Smaller particle sizes relative to the largest size will result in higher percentage values, indicating finer aggregate mixtures.

Q3: What industries use the Fuller Law?
A: Primarily used in construction and civil engineering for designing concrete, asphalt, and other aggregate-based materials.

Q4: Are there limitations to this formula?
A: The formula assumes ideal conditions and may need adjustment for irregularly shaped particles or specific material properties.

Q5: How accurate is the Fuller Law for real-world applications?
A: While useful for initial estimations, actual material testing is recommended for critical applications to verify results.