Fineness modulus of aggregate is an index number which gives an idea about the finance of aggregate and is an approximate proportion of the average size of particle in the aggregate. It is found out by sieve analysis test of standard size in the laboratory. The thumb rule is lower the fineness modulus, particles are smaller and higher the fineness modulus, particles are larger.
Objective
To determine the fineness modulus of fine aggregate.
Equipment and Apparatus
1. Set of sieve
2. Weighing machine
3. Tray
4. Sand Specimen
Procedure
 Take s suitable sample of fine aggregate and take the weight of it.
 Now place the sample in the set of IS sieves arrange in descending order 10 mm, 4.75 mm, 2.36mm, 1.18 mm, 600 microns, 300 microns and 150 microns.
 Now put the lid at the top of IS sieve set and put the complete assembly in a sieve shaker and shake it for 15 minutes.
 After proper sieving fraction of sand of different sizes will be retained on different sieves.
 Take the weight of each fraction and note down it in the observation sheet.
Observation
For example,
Weight of Sample = 2000 gm. Specification : IS: 383 – 1970
IS Sieve Designation

Weight of sample retained(gm)

Cumulative weight of retained (gm)

Cumulative % of weight retained

% of weight Passing

10mm

00

00

00

100

4.75 mm

22

22

1.1

98.9

2.36 mm

112

134

6.7

93.3

1.18 mm

200

334

16.7

83.3

600 microns

290

624

31.2

68.8

300 microns

1112

1732

86.6

13.4

150 microns

222

1954

97.7

2.3

Pan

46

2000

100

0

Note –
1. Cumulative % of weight retained = Cumulative weight of retained / Sample weight × 100
2. % of weight Passing = (100 – Cumulative % of weight retained)
Fineness modulus = (Summation of cumulative % of weight retained up to 150 microns) / 100
= 240/100
= 2.4
So, in our case, it is Fine Sand.
Value of fineness Modulus of Sand
Type of Sand

Fineness Modulus

Fine sand

2.2 – 2.6

Medium Sand

2.6 – 2.9

Coarse Sand

2.9 – 3.2

Zone of Sand As Per IS: 3831970
IS Sieve

Zone 1

Zone 2

Zone 3

Zone 4

10 mm

100

100

100

100

4.75 mm

90 – 100

90 – 100

90 – 100

90 – 100

2.36 mm

60 – 95

75 – 100

85 – 100

95 – 100

1.18 mm

30 – 70

55 – 90

75 – 100

90 – 100

600 microns

15 – 34

35 – 59

60 – 79

80 – 100

300 microns

5 – 20

8 – 30

12 – 40

15 – 50

150 microns

0 – 10

0 – 10

0 – 10

0 – 15

By percentage of weight Passing, we can find out the zone of sand by comparing the value from the table listed above. In our case, it matches from zone 3.
Weight of Sample As Per IS: 2386 (Part – 1) – 1963
Maximum size present in substantial proportion in (mm)

Minimum weight of the sample to be taken for sieving in (Kg)

63

50

50

35

40 – 31.5

15

25

5

20 – 16

2

12.5

1

10

0.5

6.3

0.2

4.75

0.2

2.36

0.1

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