Grain Fineness Number Calculator

✖Sum of Product of Factor and Grams respectively assigned for each sieve.ⓘ Sum of Product of Factor and Grams [ΣFM]			+10% -10%
✖Total Mass of Sand is the sum of sand retained in each sieve.ⓘ Total Mass of Sand [Σfi]			+10% -10%

✖Grain Fineness Number is a quantitative indication of the grain distribution.ⓘ Grain Fineness Number [GFN]

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Formula

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Grain Fineness Number

Formula

`"GFN" = "ΣFM"/"Σfi"`

Example

`"4.010283"="15.6g"/"3.89g"`

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Grain Fineness Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Grain Fineness Number = Sum of Product of Factor and Grams/Total Mass of Sand
GFN = ΣFM/Σfi
This formula uses 3 Variables

Variables Used

Grain Fineness Number - Grain Fineness Number is a quantitative indication of the grain distribution.
Sum of Product of Factor and Grams - (Measured in Kilogram) - Sum of Product of Factor and Grams respectively assigned for each sieve.
Total Mass of Sand - (Measured in Kilogram) - Total Mass of Sand is the sum of sand retained in each sieve.

STEP 1: Convert Input(s) to Base Unit

Sum of Product of Factor and Grams: 15.6 Gram --> 0.0156 Kilogram (Check conversion here)
Total Mass of Sand: 3.89 Gram --> 0.00389 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

GFN = ΣFM/Σfi --> 0.0156/0.00389

Evaluating ... ...

GFN = 4.01028277634961

STEP 3: Convert Result to Output's Unit

4.01028277634961 --> No Conversion Required

FINAL ANSWER

4.01028277634961 ≈ 4.010283 <-- Grain Fineness Number

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 11 Permeability Number Calculators

Cross-Sectional Area of Specimen

Go Cross-sectional area of specimen = (Volume of Air Flow through Specimen*Specimen Height)/(Permeability Number*Air pressure on wall*Time)

Air Pressure during Testing

Go Air pressure on wall = (Volume of Air Flow through Specimen*Specimen Height)/(Permeability Number*Cross-sectional area of specimen*Time)

Time Taken during Testing

Go Time = (Volume of Air Flow through Specimen*Specimen Height)/(Permeability Number*Air pressure on wall*Cross-sectional area of specimen)

Volume of Air Passed through Specimen

Go Volume of Air Flow through Specimen = (Permeability Number*Air pressure on wall*Cross-sectional area of specimen*Time)/Specimen Height

Height of Specimen

Go Specimen Height = (Permeability Number*Air pressure on wall*Cross-sectional area of specimen*Time)/Volume of Air Flow through Specimen

Permeability Number

Go Permeability Number = (Volume of air*Height of Specimen)/(Air pressure on wall*Cross-sectional area of specimen*Time)

Grain Fineness Number

Go Grain Fineness Number = Sum of Product of Factor and Grams/Total Mass of Sand

Pressure during Testing or Standard Specimen

Go Pressure in Casting = 501.28/(Permeability Number*Time)

Permeability Number or Standard Specimen

Go Permeability Number = 501.28/(Pressure in Casting*Time)

Time Taken in Standard Specimen Testing

Go Time = 501.28/(Permeability Number*Pressure in Casting)

Ranginess Factor

Go Ranginess Factor = Modulus of Cube/Modulus of Casting

Grain Fineness Number Formula

Grain Fineness Number = Sum of Product of Factor and Grams/Total Mass of Sand
GFN = ΣFM/Σfi

What is Grain Fineness Number (GFN)?

The Grain Fineness Number (GFN) is a quantitative indication of the grain distribution. To calculate the grain fineness number, each sieve has been given a weightage factor. The amount retained on each sieve is multiplied by the respective weightage factor, summed up, and then divided by the total mass of the sample, which gives the grain fineness number.

How to Calculate Grain Fineness Number?

Grain Fineness Number calculator uses Grain Fineness Number = Sum of Product of Factor and Grams/Total Mass of Sand to calculate the Grain Fineness Number, The Grain Fineness Number is the ratio of summation of product of sand retained in each sieve and respective multiplicative factor to the total amount of sand. Grain Fineness Number is denoted by GFN symbol.

How to calculate Grain Fineness Number using this online calculator? To use this online calculator for Grain Fineness Number, enter Sum of Product of Factor and Grams (ΣFM) & Total Mass of Sand (Σfi) and hit the calculate button. Here is how the Grain Fineness Number calculation can be explained with given input values -> 4 = 0.0156/0.00389.

FAQ

What is Grain Fineness Number?

The Grain Fineness Number is the ratio of summation of product of sand retained in each sieve and respective multiplicative factor to the total amount of sand and is represented as GFN = ΣFM/Σfi or Grain Fineness Number = Sum of Product of Factor and Grams/Total Mass of Sand. Sum of Product of Factor and Grams respectively assigned for each sieve & Total Mass of Sand is the sum of sand retained in each sieve.

How to calculate Grain Fineness Number?

The Grain Fineness Number is the ratio of summation of product of sand retained in each sieve and respective multiplicative factor to the total amount of sand is calculated using Grain Fineness Number = Sum of Product of Factor and Grams/Total Mass of Sand. To calculate Grain Fineness Number, you need Sum of Product of Factor and Grams (ΣFM) & Total Mass of Sand (Σfi). With our tool, you need to enter the respective value for Sum of Product of Factor and Grams & Total Mass of Sand 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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