Enter the cumulative percentage retained and the standard sieve size into the calculator to determine the fineness modulus of the aggregate.
Fineness Modulus Formula
The following formula is used to calculate the fineness modulus of an aggregate.
FM = frac{CP}{SS}Variables:
- FM is the fineness modulus of the aggregate
- CP is the cumulative percentage retained on a series of standard sieves
- SS is the standard sieve size
To calculate the fineness modulus (FM), divide the cumulative percentage retained (CP) by the standard sieve size (SS).
What is Fineness Modulus?
Fineness modulus (FM) is an empirical figure obtained by adding the total percentage of the sample of an aggregate retained on each of a specified series of sieves, and dividing the sum by 100. The sieve sizes are 0.15 mm, 0.3 mm, 0.6 mm, 1.18 mm, 2.36 mm, 4.75 mm, 9.5 mm, 19.0 mm, and 38.1 mm. Fineness modulus is used to describe the size distribution of the aggregate. It is an indicator of the fineness or coarseness of the aggregate, with higher values indicating coarser aggregates.
How to Calculate Fineness Modulus?
The following steps outline how to calculate the Fineness Modulus.
- First, determine the cumulative percentage retained (CP) on a series of standard sieves.
- Next, determine the standard sieve size (SS).
- Next, gather the formula from above = FM = CP / SS.
- Finally, calculate the Fineness Modulus (FM).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
cumulative percentage retained (CP) = 95%
standard sieve size (SS) = 100
