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Fineness Modulus Of Sand | FM Calculation & Grading (Semi-Log)- Download PDF

Fineness Modulus Of Sand

Fineness Modulus Of Sand

Sand is a natural resource obtained from pits, rivers, seas, and deserts, which can play an important part in Engineering Construction. Sand is a granular material that consists of particles of finely divided rock i.e. pure silica (SiO2) Silicon dioxide. Using of sand in civil engineering such as filling under floors, basements, fine aggregate at concrete, mortar, and plaster, etc. But all types of sand are not suitable for such works. Determines sand properties such as Fineness Modulus, Specific Gravity, Bulking of Sand, Compressive strength, and Silt and clay content, which is best for mortar and concrete work or suitable for plastering and finishing work.

Classification of Sand

Sand is commonly acquired from rivers, seas, and deserts. It can be classified according to size and source.

Classified According to Size:

Mostly in construction Sand is being used as a fine aggregate. That is into different-sized for different types of work. These can be divided into three types. SourceDr.MA.Aziz (Engineering Materials: Page-118)

Grading Requirements for Fine Aggregate

SourceASTM This size is ASTM standard specification for concrete aggregate C33/C33M-18.

Sieve No.OpeningPercent Passing
3/8″9.5 mm100
No. 44.75 mm95 to 100
No. 82.36 mm80 to 100
No. 161.18 mm50 to 85
No. 30600 µm or 0.6 mm25 to 60
No. 50300 µm or 0.3 mm5 to 30
No. 100150 µm or 0.15 mm0 to 10
No. 20075 µm or 0.075 mm0 to 3

Classified According to Source:

There are four kinds of sand: Pit sand, river sand, sea sand, and desert sand.

Fig: ESEM analysis of desert sand grains. SourceResearchGate

Source ScienceDirect [A recent research by Central South University in China has told us that desert sand and river sand composition of the same particles of SiO2 and Al2O3. But the particles of size are smaller than river sand. Due to the stable composition and use as finer aggregate in cement-based material (CBM) prove that the incorporation of Desert Sand greatly improves by filling effect of ultrafine particles of the porosity, durability, and mechanical properties. The CBM annually adopted around the world about 32 to 50 billion tons of natural river sand as a result of the over-exploitation of natural sources, which burdens environmental pollution and further threatens in civil living environment.]

Fineness Modulus Of Sand (FM): Calculation & Grading

The fineness modulus is abbreviated as FM. FM of sand (fine aggregate ASTM standard) is an index number that represents the average size of the grain of sand. It is calculated by performing a Sieve Analysis with ASTM standard sieves 3″, 1/2″, 3/4″, 3/8″, No. 4, No. 16, No. 30, No. 50, and No. 100 and dividing the sum of the cumulative percentages retained on each sieve by 100 gives the fineness modulus value or FM.

FM or Fineness Modulus Calculation

This sand was collected from the Shari Ghat River-Bed located in the Sylhet area in Bangladesh. Because of the vast amount of sand used from the Shari river bed in this region. SourceResearchGate (Sieve Analysis Data)

Sieve Analysis 01: Fine Aggregate

Sieve SizeStandard Opening (mm)Material retained (gm)Percent of material retained (%)Cumulative Percent Retained (%)Percent Finer/ PassFineness Modulus FM
No. 44.7500.00.0100.0
No. 82.3610.10.199.9
No. 161.18101.01.198.9
No. 300.60383.84.995.1
No. 500.3019119.124.076.0
No. 1000.1574374.398.31.7
No. 2000.075121.299.50.5
Pan50.5100.00.0
Total1000FM 1.28

FM= {(0+0.1+1.1+4.9+24.0+98.3)÷100}=1.28

This sand Fineness modulus is 1.28 which is a fine aggregate.

Gradation Curve of Sand in Semi-log

From percent fineer or pass and sieve size can draw particle size gradation curve of fine sand.

Fig: Gradation Curve of Sand (Fine)

Sive Analysis 02: Medium Aggregate

Sieve SizeStandard Opening (mm)Material retained (gm)Percent of material retained (%)Cumulative Percent Retained (%)Percent Finer/ PassFineness Modulus FM
No. 44.75111.11.198.9
No. 82.36313.14.295.8
No. 161.1828428.432.667.4
No. 300.6035435.468.032.0
No. 500.3020520.588.511.5
No. 1000.1511111.199.60.4
No. 2000.07530.399.90.1
Pan10.1100.00.0
Total1000FM 2.94

FM= {(1.1+4.2+32.6+68+88.5+99.6)÷100}=2.94

Gradation Curve of Sand in Semi-log

From percent fineer or pass and sieve size can draw particle size gradation curve of medium sand.

Fig: Gradation Curve of Sand (Medium)

Conclusion

At present, we are getting sand from a few selected natural locations such as pits and river beds, but the scope should be increased by proper use of sea and desert sand. And assure the use of properties standard of ASTM for example fineness modulus, Bulking of Sand, Compressive strength, etc. which would provide more sustainability in the structure.

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