Cement, Sand & Aggregate Calculation in Concrete

Table of Contents

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

Concrete Grade	Mix Ratio	Compressive Strength
Concrete Grade	Mix Ratio	MPa (N/mm²)	psi
Normal Grade of Concrete
M5	1 : 5 : 10	5 MPa	725 psi
M7.5	1 : 4 : 8	7.5 MPa	1087 psi
M10	1 : 3 : 6	10 MPa	1450 psi
M15	1 : 2 : 4	15 MPa	2175 psi
M20	1 : 1.5 : 3	20 MPa	2900 psi
Standard Grade of Concrete
M25	1 : 1 : 2	25 MPa	3625 psi
M30	Design Mix	30 MPa	4350 psi
M35	Design Mix	35 MPa	5075 psi
M40	Design Mix	40 MPa	5800 psi
M45	Design Mix	45 MPa	6525 psi
High Strength Concrete Grades
M50	Design Mix	50 MPa	7250 psi
M55	Design Mix	55 MPa	7975 psi
M60	Design Mix	60 MPa	8700 psi
M65	Design Mix	65 MPa	9425 psi
M70	Design Mix	70 MPa	10150 psi

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)

Cement : sand : aggregate = 1 : 1.5 : 3

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

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

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

Read Also: Rise & Fall Method