# How to Calculate Fineness modulus of aggregate| Formula with Numerical

## What is fineness modulus of aggregate?

The fineness modulus of aggregate is simply a measurement of the average size of the aggregate. It can be calculated with the help of different sizes of the sieve. Now, let us see some numerical Examples to calculate the fineness modulus of aggregate.

### Q.1) Find the fineness modulus of coarse aggregates for which the sieve analysis is given it the table below:

Weight of sample = 10 kg

Solution:-

Coarse aggregate

So,

Fineness modules(F.M.)

=685/100

=6.85

### Q.2) Find the F.M of coarse aggregate and fine aggregate form the sieve analysis data as given in the table below:

Weight of sample = 15 kg

Solution:-

Coarse aggregate

Fineness modules (F.M.) = 733.34/100    =7.33

Total weight of fine aggregate = 500gm

Fine aggregate

NOTE*

Weight lower than 150 micron is not considered in calculation :-

Fineness modules (F.M.) = 2.45

### Q.3) A sieve analysis was carried out for 5 kg aggregate in the laboratory with available sieves. The weights retained in sieve of 40,32,20,16,10,4.75,are 0,1.2,1.8,0.5,1.5and 0 kg respectively. Obtain fineness modules for the sample.

Solution:

COMULATIVE % weight retained = (commutative weight retained/total weight)*100%

Fineness modules (F.M.) = (total cumulative % weight retained)/100

=354/100

= 3.54

Happy Learning – Civil Concept

Contributed by,

Civil Engineer – Ranjeet Sahani

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### 2 thoughts on “How to Calculate Fineness modulus of aggregate| Formula with Numerical”

1. excellent sir… thank you

2. Welcome 