# Sieve Analysis Calculator

Sieve Analysis is one of the analytical and engineering techniques that is used to assess the production quality of aggregates. It measures particle size distribution, and fineness modulus to conclude the aggregate’s classification and characteristics. Take a look at this article to learn more about this tool. The link for this tool is provided above. This calculator will directly calculate particle size distribution and fineness modulus. It will also generate a particle gradation curve based on the generated results.

### What is Sieve Analysis?

Sieve analysis is a method of characterizing particle size distributions. It is often used to determine the suitability of a material for use in construction or other industrial applications. The sieve analysis calculator can be used to determine the particle size distribution of an aggregate sample as per ASTM guidelines. The sieve analysis is used for fine, coarse, and mixed aggregates. The classification and suitability of aggregate are assessed with the help of sieve analysis.

Also, read: Sieve Analysis of Coarse Aggregates

### Calculating Particle Size Distribution

When performing a sieve analysis, the particle size distribution is calculated by particles/grains that pass through each sieve and are retained on the next lower sieve.

To calculate the particle size distribution, start with the weight in grams of each fraction that was retained on the mesh screen sizes used. To calculate the cumulative percent retained in sieve analysis, use:

W_i = \frac{m}{M} \times N_i

where:
W_i = weight of ith fraction,
m = mass of sample taken for testing,
M = mass of ith fractional amount that is greater than the mesh opening size,
and N_i= number of particles in ith fraction.

The particle size distribution can be expressed qualitatively by a grain-size curve, which is usually expressed on semilog graph paper. While quantitatively statistical diameter values like D10, D50, and D90 define the 10%, 50%, and 90% cumulative passing values.

#### How to Calculate Percent Passing in Sieve Analysis

The percentage passing for each sieve is calculated by subtracting the cumulative percent retained on that sieve from 100. Mathematically we can express percent passing by this formula:

100 – % cumulative weight retained

#### How to Calculate Average Particle Size from Sieve Analysis

Average particle size can be found by calculating the fineness modulus (FM). A fineness modulus is an index number that represents the average particle size. The lesser the value of FM, the more finer the material is, and vice versa. To calculate FM, start with the percentage of material retained on the first sieve. This is your starting point. The next value would be the cumulative percentage of material retained on the first two sieves added together, and so forth until you have reached the final sieve. Then divide this cumulated sum by 100 to find the FM.

For example, let’s say that you are performing a sieve analysis for a coarse aggregate sample and you obtain the following results:

Retained on No. 4 (4.75 mm) = 3%
Retained on No. 8 (2.36 mm) = 15%
Retained on No. 16 (1.18 mm) = 35%
Retained on No. 30 (0.6 mm) = 48%
Retained on No. 50 (0.3 mm) = 65%

### Conclusion

If you need to quickly and easily calculate a sieve analysis, our sieve analysis calculator is the perfect tool for the job. Simply enter the particle size distribution of your sample and our calculator will do the rest. With our easy-to-use interface, getting accurate results has never been easier. So why wait? Try out our sieve analysis calculator today!