Coarseness of Aggregates in Fuller Law Calculator

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Pavement Materials

Design of Transition Curves and Setback Distances

Design of Superelevation

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Specific Gravity and Water Absorption

✖Percentage of weight refers to the proportion or fraction of a specific weight in relation to the total weight, expressed as a percentage.ⓘ Percentage of Weight [P_weight]			+10% -10%
✖Smallest particle denotes the tiniest or most minute component present within a given material or sample.ⓘ Smallest Particle [d]			+10% -10%
✖Largest particle refers to the most sizable or biggest constituent within a given material or sample.ⓘ Largest Particle [D]			+10% -10%

✖Coarseness of Aggregates characterizes the particle size distribution of aggregates, aiding in determining the level of fineness or coarseness within the aggregate mix.ⓘ Coarseness of Aggregates in Fuller Law [n]

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Formula

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Coarseness of Aggregates in Fuller Law

Formula

`"n" = (log10("P"_{"weight"}/100))/(log10("d"/"D"))`

Example

`"0.250003"=(log10("78.254"/100))/(log10("33mm"/"88mm"))`

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Coarseness of Aggregates in Fuller Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coarseness of Aggregates = (log10(Percentage of Weight/100))/(log10(Smallest Particle/Largest Particle))
n = (log10(P_weight/100))/(log10(d/D))
This formula uses 1 Functions, 4 Variables

Functions Used

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., log10(Number)

Variables Used

Coarseness of Aggregates - Coarseness of Aggregates characterizes the particle size distribution of aggregates, aiding in determining the level of fineness or coarseness within the aggregate mix.
Percentage of Weight - Percentage of weight refers to the proportion or fraction of a specific weight in relation to the total weight, expressed as a percentage.
Smallest Particle - (Measured in Meter) - Smallest particle denotes the tiniest or most minute component present within a given material or sample.
Largest Particle - (Measured in Meter) - Largest particle refers to the most sizable or biggest constituent within a given material or sample.

STEP 1: Convert Input(s) to Base Unit

Percentage of Weight: 78.254 --> No Conversion Required
Smallest Particle: 33 Millimeter --> 0.033 Meter (Check conversion here)
Largest Particle: 88 Millimeter --> 0.088 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (log10(P_weight/100))/(log10(d/D)) --> (log10(78.254/100))/(log10(0.033/0.088))

Evaluating ... ...

n = 0.25000298360853

STEP 3: Convert Result to Output's Unit

0.25000298360853 --> No Conversion Required

FINAL ANSWER

0.25000298360853 ≈ 0.250003 <-- Coarseness of Aggregates

(Calculation completed in 00.004 seconds)

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< 4 Fuller law Calculators

Coarseness of Aggregates in Fuller Law

Go Coarseness of Aggregates = (log10(Percentage of Weight/100))/(log10(Smallest Particle/Largest Particle))

Size of Smallest Particle in Fuller Law

Go Smallest Particle = Largest Particle*(Percentage of Weight/100)^(1/Coarseness of Aggregates)

Size of Largest Particle in Fuller Law

Go Largest Particle = Smallest Particle/(Percentage of Weight/100)^(1/Coarseness of Aggregates)

Percent by Weight in Fuller Law

Go Percentage of Weight = 100*(Smallest Particle/Largest Particle)^Coarseness of Aggregates

Coarseness of Aggregates in Fuller Law Formula

Coarseness of Aggregates = (log10(Percentage of Weight/100))/(log10(Smallest Particle/Largest Particle))
n = (log10(P_weight/100))/(log10(d/D))

Fuller Law

The Fuller Law defines the relationship between the volume of fine aggregates in concrete mixtures and their optimal packing density, guiding the ideal aggregate volume for maximum density and workability.

How to Calculate Coarseness of Aggregates in Fuller Law?

Coarseness of Aggregates in Fuller Law calculator uses Coarseness of Aggregates = (log10(Percentage of Weight/100))/(log10(Smallest Particle/Largest Particle)) to calculate the Coarseness of Aggregates, The Coarseness of Aggregates in Fuller Law formula is computed by taking the base-10 logarithm of the ratio of the weight percentage to 100, then dividing it by the base-10 logarithm of the ratio of the smallest to the largest particle size. Coarseness of Aggregates is denoted by n symbol.

How to calculate Coarseness of Aggregates in Fuller Law using this online calculator? To use this online calculator for Coarseness of Aggregates in Fuller Law, enter Percentage of Weight (P_weight), Smallest Particle (d) & Largest Particle (D) and hit the calculate button. Here is how the Coarseness of Aggregates in Fuller Law calculation can be explained with given input values -> 0.250003 = (log10(78.254/100))/(log10(0.033/0.088)).

FAQ

What is Coarseness of Aggregates in Fuller Law?

The Coarseness of Aggregates in Fuller Law formula is computed by taking the base-10 logarithm of the ratio of the weight percentage to 100, then dividing it by the base-10 logarithm of the ratio of the smallest to the largest particle size and is represented as n = (log10(P_weight/100))/(log10(d/D)) or Coarseness of Aggregates = (log10(Percentage of Weight/100))/(log10(Smallest Particle/Largest Particle)). Percentage of weight refers to the proportion or fraction of a specific weight in relation to the total weight, expressed as a percentage, Smallest particle denotes the tiniest or most minute component present within a given material or sample & Largest particle refers to the most sizable or biggest constituent within a given material or sample.

How to calculate Coarseness of Aggregates in Fuller Law?

The Coarseness of Aggregates in Fuller Law formula is computed by taking the base-10 logarithm of the ratio of the weight percentage to 100, then dividing it by the base-10 logarithm of the ratio of the smallest to the largest particle size is calculated using Coarseness of Aggregates = (log10(Percentage of Weight/100))/(log10(Smallest Particle/Largest Particle)). To calculate Coarseness of Aggregates in Fuller Law, you need Percentage of Weight (P_weight), Smallest Particle (d) & Largest Particle (D). With our tool, you need to enter the respective value for Percentage of Weight, Smallest Particle & Largest Particle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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