HOW TO CALCULATE OF AGGREGATE, CEMENT AND SAND

CALCULATE AGGREGATE , CEMENT & SAND

        Assumptions,

Volume of concrete  = 1 m^3

Grade of concrete M20 (1:1.5:3)

Quantity of concrete ( Wet vol. and Dry volume)

Wet volume of concrete   = 1 m^3

Dry volume  = Wet x 1.54

NOTE:  You can also take it as 1.50 to 1.55, but it became standard practice to considering 1.54 as multiplication factor.

 Ratio :  M20  (1:1.5:3)

We know that,

Dry volume of concrete =  1 x 1.54 m^3

CEMENT:

Quantity of cement = ( dry vol of concrete x cement ratio)/(sum of the ratio)

cement       = (1 x 1.54)/(1+1.5+3)  = 0.28 m^3

Density of cement  = 1440 kg/m^3

Weight of cement  =   1440 kg/m^3 x  0.28 m^3  =  403.2 kg

1 bag of cement contains 50 kg cement

No of bags  =  403.2 kg / 50 kg  =  8.064 No’s

SAND:

Quantity of sand =  Quantity of cement x 1.5

                                =  0.28 m^3 x 1.5 =  0.42 m^3

 OR,  Quantity of sand  =  (1.5 x 1.54)/(5.5) =   0.42 m^3

1 m^3  = 35.3147 ft

Quantity of sand =  0.42 x 35.3147  = 14.832 cft

Weight of sand  = volume x density,  ( Sand density = 1650 kg/m^3)

                            =  0.42 m^3 x 1650 kg/ m^3  =  693 kg

AGGREGATE:

Quantity of aggregate  = Quantity of cement x 3

                                         = 0.28 m^3 x 3  = 0.84 m^3

OR, Quantity of aggregate  =  (3 x 1.54)/(5.5)  = 0.84 m^3

1 m^3  = 35.3147 ft

Quantity of aggregate  =  0.84 x 353147  =  26.664 cft

Weight of aggregate = volume x density ,( density = 1550 kg/m^3)

                                     = 0.84 x 1550  = 1302 kg

NOTE:   For M10, M5, M15, M25, M7.5 etc  also you can calculate fallow above solved calculation.

Different grades of concrete

Different grades of concrete has different concrete Mix proportions which means different concrete mix ratios. As per IS Code 456:2000, the concrete mix design has the following concrete mix proportions.

Type of concrete	Concrete grade	Mix Ratio	Characteristic comprehensive strength of concrete @28Day in N/mm^2
Ordinary concrete	M5 M7.5 M10 M15 M20	1:5:10 1:4:8 1:3:6 1:2:4 1:1.5:3	5N/mm^2 7.5N/mm^2 10N/mm^2 15N/mm^2 20N/mm^2
Standard Concrete	M25 M30 M35 M40 M45 M50	1:1:2 Design Mix Design Mix Design Mix Design Mix Design Mix	25N/mm^2 30N/mm^2 35N/mm^2 40N/mm^2 45N/mm^2 50N/mm^2
High Strength Concrete	M55 M60 M65 M70	Design Mix Design Mix Design Mix Design Mix	55N/mm^2 60N/mm^2 6N/mm^2 70N/mm^2