Name: fineness modulus from sieve analysis
Uploaded: 2024-11-07T14:48:25.000Z
Duration: 1 min 19 s
Channel: JoVE

Consider a sample of fine aggregates being sieved through a standard set of sieves. Note the weight of aggregates retained on each sieve.
Calculate the cumulative weight of aggregates retained on each sieve and express it as a percentage of the total sample weight.
If, for instance, all the particles are retained on or above a particular sieve, and nothing passes through it, the cumulative percentage retained for that sieve and those stacked underneath it is entered as 100.
The fineness modulus is calculated by summing the cumulative percentage retained on each sieve and dividing the total by 100.
The fineness modulus is a numerical index that represents the grading of aggregates.
When aggregates from the same source are used, slight variations in the gradation of fine aggregates are less visually obvious than with coarse aggregates.
These differences will be reflected in the fineness modulus value, which will be more insightful for fine aggregates than coarse aggregates.
Typically, the value of the fineness modulus for fine aggregates ranges from 2.3 to 3.1; the higher the value, the coarser the aggregates.

fijnheidsmodulus

De fijnheidsmodulus (FM) van aggregaat is een numerieke index die de grofheid of fijnheid van de deeltjes meet. Deze wordt berekend door de cumulatieve percentages van aggregaat die op elk van een bepaalde serie zeven achterblijven, op te tellen en de som te delen door 100.

Overweeg om zeefanalyse uit te voeren op zand door een set ASTM-zeven. Het gewicht van het aggregaat dat in elke zeef en pan op de bodem wordt vastgehouden, wordt geregistreerd, zoals weergegeven in kolom B van tabel 1.

Om de fijnheidsmodulus van zand te bepalen, berekent u het cumulatieve gewicht van het aggregaat dat op elke zeef wordt vastgehouden (kolom C van tabel 1) en drukt u dit uit als een percentage van het totale gewicht (kolom D van tabel 1). Ten slotte wordt de som van de cumulatieve percentages van het aggregaat dat op elke zeef wordt vastgehouden, bepaald en vermenigvuldigd met 100, om de fijnheidsmodulus van het zand te verkrijgen.

Tabel 1: Zeefanalyse op zand

<table border="1" fo:keep-together.within-page="1" fo:keep-with-next.within-page="always">
	<tbody>
		<tr>
			<td style="text-align: center;">Kolom A</td>
			<td style="text-align: center;">Kolom B</td>
			<td style="text-align: center;">Kolom C</td>
			<td style="text-align: center;">Kolom D</td>
		</tr>
		<tr>
			<td style="text-align: center;">ASTM-zeef</td>
			<td style="text-align: center;">Gewicht behouden op elke zeef (g)</td>
			<td style="text-align: center;">Cumulatief gewicht op elke zeef achtergebleven (g)</td>
			<td style="text-align: center;">Cumulatief percentage dat op elke zeef wordt vastgehouden (%)</td>
		</tr>
		<tr>
			<td style="text-align: center;">⅜ cm</td>
			<td style="text-align: center;">0</td>
			<td style="text-align: center;">0</td>
			<td style="text-align: center;">0</td>
		</tr>
		<tr>
			<td style="text-align: center;">Nr. 4</td>
			<td style="text-align: center;">5</td>
			<td style="text-align: center;">0+5 = 5</td>
			<td style="text-align: center;">5/500 = 1</td>
		</tr>
		<tr>
			<td style="text-align: center;">Nr. 8</td>
			<td style="text-align: center;">55</td>
			<td style="text-align: center;">5+55 = 60</td>
			<td style="text-align: center;">60/500 = 12</td>
		</tr>
		<tr>
			<td style="text-align: center;">Nr. 16</td>
			<td style="text-align: center;">65</td>
			<td style="text-align: center;">60+65 = 125</td>
			<td style="text-align: center;">125/500 = 25</td>
		</tr>
		<tr>
			<td style="text-align: center;">Nr. 30</td>
			<td style="text-align: center;">90</td>
			<td style="text-align: center;">125+90 = 215</td>
			<td style="text-align: center;">215/500 = 43</td>
		</tr>
		<tr>
			<td style="text-align: center;">Nr. 50</td>
			<td style="text-align: center;">160</td>
			<td style="text-align: center;">215+160 = 375</td>
			<td style="text-align: center;">375/500 = 75</td>
		</tr>
		<tr>
			<td style="text-align: center;">Nee. 100</td>
			<td style="text-align: center;">90</td>
			<td style="text-align: center;">375+90 = 465</td>
			<td style="text-align: center;">465/500 = 93</td>
		</tr>
		<tr>
			<td style="text-align: center;">Onderste pan</td>
			<td style="text-align: center;">35</td>
			<td style="text-align: center;">Totaal gewicht = 465+35 = 500</td>
			<td style="text-align: center;"></td>
		</tr>
	</tbody>
</table>

<img alt="Equation1" src="/files/ftp_upload/16872/16872 _Equation_PT_001v2.svg" style="height: 14px;" />

<img alt="Equation2" src="/files/ftp_upload/16872/16872 _Equation_PT_002v2.svg" style="height: 36px;" />

Over het algemeen heeft zand een fijnheidsmodulus van ongeveer 2,3 tot 3,1. Lagere waarden duiden op fijn zand, terwijl hogere waarden betekenen dat het zand grover is.

Fijnheidsmodulus

Consider a sample of fine aggregates being sieved through a standard set of sieves. Note the weight of aggregates retained on each sieve.
Calculate the ...

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Fineness Modulus

fineness modulus from sieve analysis

Fineness modulus is a numerical index used to describe how coarse or fine aggregate particles are. For sand, it is found from sieve analysis using a standard set of ASTM sieves. The result helps show whether the sample is finer or more coarse.

To calculate fineness modulus, first record the weight of aggregate retained on each sieve and in the pan at the bottom. Then find the cumulative weight retained on each sieve. Next, express each cumulative weight as a percentage of the total sample weight. The fineness modulus is obtained by adding those cumulative percentages and dividing the sum by 100.

A sand sample can be tested with sieves such as ⅜ inch, No. 4, No. 8, No. 16, No. 30, No. 50, and No. 100. In the example, the retained weights are 0 g, 5 g, 55 g, 65 g, 90 g, 160 g, 90 g, and 35 g in the bottom pan. The cumulative percentages retained are 0, 1, 12, 25, 43, 75, and 93, based on a total weight of 500 g.

In general, sand has a fineness modulus of about 2.3 to 3.1. Lower values mean the sand is finer. Higher values mean the sand is more coarse.

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Fineness Modulus from Sieve Analysis

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