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Coarseness of Aggregates in Fuller Law Formula

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The Coarseness of Aggregates is a measure of the texture of aggregate particles in pavement materials, influencing the overall strength and durability of the pavement structure. Check FAQs

n = \frac{\log 10 (\frac{P weight}{100})}{\log 10 (\frac{d}{D})}

n - Coarseness of Aggregates?P_weight - Percentage of Weight?d - Smallest Particle?D - Largest Particle?

Coarseness of Aggregates in Fuller Law Example

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Here is how the Coarseness of Aggregates in Fuller Law equation looks like with Values.

Here is how the Coarseness of Aggregates in Fuller Law equation looks like with Units.

Here is how the Coarseness of Aggregates in Fuller Law equation looks like.

0.25 = \frac{\log 10 (\frac{78.254}{100})}{\log 10 (\frac{33}{88})}

0.25 = \frac{\log 10 (\frac{78.254}{100})}{\log 10 (\frac{33mm}{88mm})}

0.25 = \frac{\log 10 (\frac{78.254}{100})}{\log 10 (\frac{33}{88})}

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Coarseness of Aggregates in Fuller Law Solution

Follow our step by step solution on how to calculate Coarseness of Aggregates in Fuller Law?

FIRST Step Consider the formula

n = \frac{\log 10 (\frac{P weight}{100})}{\log 10 (\frac{d}{D})}

Next Step Substitute values of Variables

∴

n = \frac{\log 10 (\frac{78.254}{100})}{\log 10 (\frac{33mm}{88mm})}

Next Step Convert Units

∴

n = \frac{\log 10 (\frac{78.254}{100})}{\log 10 (\frac{0.033m}{0.088m})}

Next Step Prepare to Evaluate

∴

n = \frac{\log 10 (\frac{78.254}{100})}{\log 10 (\frac{0.033}{0.088})}

Next Step Evaluate

∴

n = 0.25000298360853

LAST Step Rounding Answer

∴

n = 0.25

Coarseness of Aggregates in Fuller Law Formula Elements

Variables

Functions

Coarseness of Aggregates

The Coarseness of Aggregates is a measure of the texture of aggregate particles in pavement materials, influencing the overall strength and durability of the pavement structure.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coarseness of Aggregates

Percentage of Weight

The Percentage of Weight is the proportion of weight of a particular material used in the pavement construction, expressed as a percentage of the total weight.

Symbol: P_weight

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Percentage of Weight

Smallest Particle

The Smallest Particle is the smallest unit of pavement material that still retains the properties of the original material, used to determine its characteristics.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Smallest Particle

Largest Particle

The Largest Particle is the maximum size of aggregate particles in a pavement material, influencing its strength, durability, and overall performance.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Largest Particle

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other formulas in Fuller law category

Go Percent by Weight in Fuller Law

P weight = 100 \cdot {(\frac{d}{D})}^{n}

Go Size of Largest Particle in Fuller Law

D = \frac{d}{{(\frac{P weight}{100})}^{\frac{1}{n}}}

Go Size of Smallest Particle in Fuller Law

d = D \cdot {(\frac{P weight}{100})}^{\frac{1}{n}}

How to Evaluate Coarseness of Aggregates in Fuller Law?

Coarseness of Aggregates in Fuller Law evaluator uses Coarseness of Aggregates = (log10(Percentage of Weight/100))/(log10(Smallest Particle/Largest Particle)) to evaluate the Coarseness of Aggregates, Coarseness of Aggregates in Fuller Law formula is defined as a measure of the particle size distribution of aggregates in pavement materials, providing a quantitative representation of the aggregate's coarseness, which is essential in determining the pavement's performance and durability. Coarseness of Aggregates is denoted by n symbol.

How to evaluate Coarseness of Aggregates in Fuller Law using this online evaluator? To use this online evaluator for Coarseness of Aggregates in Fuller Law, enter Percentage of Weight (P_weight), Smallest Particle (d) & Largest Particle (D) and hit the calculate button.

FAQs on Coarseness of Aggregates in Fuller Law

What is the formula to find Coarseness of Aggregates in Fuller Law?

The formula of Coarseness of Aggregates in Fuller Law is expressed as Coarseness of Aggregates = (log10(Percentage of Weight/100))/(log10(Smallest Particle/Largest Particle)). Here is an example- 0.250003 = (log10(78.254/100))/(log10(0.033/0.088)).

How to calculate Coarseness of Aggregates in Fuller Law?

With Percentage of Weight (P_weight), Smallest Particle (d) & Largest Particle (D) we can find Coarseness of Aggregates in Fuller Law using the formula - Coarseness of Aggregates = (log10(Percentage of Weight/100))/(log10(Smallest Particle/Largest Particle)). This formula also uses Common Logarithm (log10) function(s).

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Coarseness of Aggregates in Fuller Law Formula

Coarseness of Aggregates in Fuller Law Example

Coarseness of Aggregates in Fuller Law Solution

Coarseness of Aggregates in Fuller Law Formula Elements

Other formulas in Fuller law category

How to Evaluate Coarseness of Aggregates in Fuller Law?

FAQs on Coarseness of Aggregates in Fuller Law

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