How to Calculate Quantity of Cement, Aggregates for Concrete Mix?

The Quantity of Cement and Aggregates for a given concrete mix can be calculated by the following steps.

Point to Remeber for Concrete Quantity Calculation


Before starting the calculation, three important points have to keep in mind.

  1. Concrete Mix Ratios
  2. Wet and Dry Volume
  3. The density of Cement and Aggregates

1. Concrete Mix Ratios

Note: Always remember the mix ratios before starting the calculation of concrete material quantity.

2. Wet and Dry Volume

If the Wet Volume = 1m^3
Then Dry Volume = Increase in Wet Volume by 54%

This means,
Dry Volume of Concrete = 1.54 x ( Wet Volume of Concrete)

3. Density


Density of Cement = 140kg/m3
Density of Fine Aggregate = 1450 to 1600kg/m3
Density of Coarse Aggregate = 1450 to 1500kg/m3

Once you are thorough with the above three requirements, we will start calculating. Please check out the following problem to determine the calculation of concrete materials for an M20 mix.

PROBLEM: DETERMINE THE QUANTITY OF CEMENT & AGGREGATES FOR AN M20 MIX

Solution:

1. Determine the Mix Ratio

Mix Ratio for M2 = 1: 1.5: 3
Sum of Ratio = 1+1.5 +3= 5.5

2. Determine the Wet Volume & Dry Volume

Wet Volume = 1 Cubic Metre
So, Dry Volume = 1.54 x ( Wet Volume ) = 1.54 Cubic Metre

3. Quantity of Cement

Mix Ratio of M20 =>1: 1.5: 3 => Cement : Fine Aggregate : Coarse Aggregate;
Quantity of Cement in cubic metre = (Dry Volume x Part of Cement)/(Total Sum of parts )
                                                         = (1.54 x 1)/(5.5 ) 
                                                         = 0.28m^3
Quantity of Cement in kg = Volume of Cement x Density

                                          = 0.28 x 1440 = 404kg

3. Quantity of Fine Aggregate

Mix Ratio of M20 => 1: 1.5: 3 =>Cement : Fine Aggregate : Coarse Aggregate;
Quantity of Cement in cubic metre = (Dry Volume x Part of Cement)/(Total Sum of parts ) = (1.54 x 1.5)/(5.5 ) = 0.〖42m〗^3

Quantity of Cement in kg = Volume of Cement x Density

                                          = 0.42 x 1500 = 630kg

4. Quantity of Coarse Aggregate

Mix Ratio of M20 =>  1: 1.5: 3 => Cement : Fine Aggregate : Coarse Aggregate;
Quantity of Cement in cubic metre = (Dry Volume x Part of Cement)/(Total Sum of parts ) = (1.54 x 3)/(5.5 ) = 0.〖84m〗^3
Quantity of Cement in kg = Volume of Cement x Density = 0.84 x 1500 = 1260kg


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