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The fineness modulus (FM) of aggregate is a numerical index that measures the coarseness or fineness of the particles. It is calculated by adding the cumulative percentages of aggregate retained on each of a specified series of sieves and dividing the sum by 100.

Consider performing sieve analysis on sand through a set of ASTM sieves. The weight of aggregate retained in each sieve and pan placed at the bottom is recorded, as given in Column B of Table 1.

To determine the fineness modulus of sand, calculate the cumulative weight of aggregate retained on each sieve (Column C of Table 1) and express it as a percentage of the total weight (Column D of Table 1). Finally, the sum of the cumulative percentages of aggregate retained on each sieve is determined and multiplied by 100 to obtain the fineness modulus of the sand.

Table 1: Sieve analysis on sand

Column A Column B Column C Column D
ASTM Sieve Weight retainedon each sieve (g) Cumulative weightretained on each sieve (g) Cumulative percentage retained on each sieve (%)

⅜ inch

0 0 0
No. 4 5 0+5 = 5 5/500 = 1
No. 8 55 5+55 = 60 60/500 = 12
No. 16 65 60+65 = 125 125/500 = 25
No. 30 90 125+90 = 215 215/500 = 43
No. 50 160 215+160 = 375 375/500 = 75
No. 100 90 375+90 = 465 465/500 = 93
Bottom pan 35 Total weight = 465+35 = 500

Eq1

Eq2

In general, sand has a fineness modulus of around 2.3 to 3.1. Lower values indicate finer sand, while higher values mean the sand is more coarse.

Tags

Fineness ModulusFMAggregateSieve AnalysisSandCumulative PercentagesASTM SievesWeight RetainedCoarsenessFine ParticlesSieve CalculationSand Characteristics

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