Calculation of materials in concrete

Before starting the numerical of calculation of materials in concrete, Learn these topics.

1 cub.m = 35.31 cub.feet

Density of Cement = 1400kg/cub.m

Density of Sand = 1450 kg/cub.m

Density of Aggregate =1500 kg/cub.m

Best starting the calculation of cement, sand and aggregate, Learn the below table:

Concrete GradeMix Ratio (cement : sand : aggregates)Compressive Strength
MPa (N/mm2)psi
Grades of Concrete
M51 : 5 : 105 MPa725 psi
M7.51 : 4 : 87.5 MPa1087 psi
M101 : 3 : 610 MPa1450 psi
M151 : 2 : 415 MPa2175 psi
M201 : 1.5 : 320 MPa2900 psi
Standard Grade of Concrete
M251 : 1 : 225 MPa3625 psi
M30Design Mix30 MPa4350 psi
M35Design Mix35 MPa5075 psi
M40Design Mix40 MPa5800 psi
M45Design Mix45 MPa6525 psi
High Strength Concrete Grades
M50Design Mix50 MPa7250 psi
M55Design Mix55 MPa7975 psi
M60Design Mix60 MPa8700 psi
M65Design Mix65 MPa9425 psi
M70Design Mix70 MPa10150 psi

calculation of cement sand aggregate in concrete

The calculation for 1 cub.m of Concrete

Note :
The volume of Dry concrete is 54%-57% of Wet volume of concrete.

i.e. Dry volume of concrete = 1.54 * Wet Volume of concrete

Given,

Wet Volume = 1 cub.m

Dry volume = 1.54 cub.m

( Dry concrete is 54%-57% more because there is loss during preparation and also concrete contracts after drying)

For M20 Concrete

Cement : sand : aggregate = 1 : 1.5 : 3

Sum of all ratios = 1+1.5+3 = 5.5

CEMENT

Image result for cement

Quantity of cement = (cement ratio / Sum of ratios ) * Dry volume

= (1 / 5.5 ) * 1.54

= 0.28 cub. m

Density of cement = 1440 kg/cub.m

Mass of cement = Volume of cement * Density

= 0.28 * 1440

= 403.2 kg

We know that each bag of cement is of 50 kg

Number of cement bags = 403.5/50 = 8 bags

SAND

calculation of materials in concrete

Quantity of Sand = (Sand ratio / Sum of ratios ) * Dry volume

= (1.5 / 5.5 ) * 1.54

= 0.42 cub.m

Density of Sand = 1450kg/cub.m

Mass of sand = 0.42 * 1450 = 609 kg

AGGREGATE

 

Quantity of aggregate = (aggregate ratio / Sum of ratios ) * Dry volume

= ( 3 / 5.5 ) * 1.54

= 0.84 cub. m

Density of Aggregate : 1500 kg/ cub. m

Mass of Aggregate : 0.84 *1500 = 1260 kg.

In this way, Calculation of materials in concrete can be done for all grades of concrete as required.

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