This method determines the fineness modulus 
of concrete fine aggregate used in 
evaluation of natural and manufactured 
sands for portland cement concrete. 
1.2 
The values given in parentheses (if provided)
 are not standard and may not be exact 
mathematical conversions. Use each system 
of units separately. Combining values from 
the two systems may result in nonconformance with the standard. 
2. APPARATUS 
2.1 
Apparatus,
 specified in Tex-401-A. 
2.2 
Standard U.S. sieves,
 meeting the requirements of Tex-907-K, in the following sizes: 
4.75 mm (No. 4) 
2.36 mm (No. 8) 
1.18 mm (No. 16) 
600 
μ
m (No. 30) 
300 
μ
m (No. 50) 
150 
μ
m (No.100). 
3. PROCEDURE 
3.1 
Determine particle size distribu
tion in accordance with Tex-401-A. 
4. CALCULATIONS 
4.1 
Calculate Cumulative Percent Retained: 
Cumulative Percent      tained             Cumulative Mass     tained    Mass of  Total Samp
Calculate the Fineness Modulus (
FM
): 
FM          Cumulative percent retained
=
(                                                    ) / 100
4.3 
Table 1 lists example amounts for discussion purposes. 
Table 1—Amounts for Example Calculations 
Sieve Size                          Cum. Mass Retained                     Cum. % Retained 
4.75 mm (No. 4)                                  31.5 g                                               6.3 
2.36 mm (No. 8)                                  99.1 g                                              19.8 
1.18 mm (No. 16)                                195.6 g                                             39.1 
600 
μ
m (No. 30) 
306.7 g                                             61.3 
300 
μ
m (No. 50) 
367.2 g                                             73.4 
150 
μ
m (No. 100) 
482.8 g                                             96.5 
(Dry Weight of Original Sample = 500.3 g) 
Fineness Modulus = (6.3 + 19.8 + 39.1 + 61.3 + 73.4 + 96.5) / 100 = 2.964 
Fineness Modulus = 2.96 
5. REPORT 
5.1 
Report Fineness Modulus to the nearest 0.01. 
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