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The ingredients for a strong and durable concrete mix undeniably remain a cornerstone of every project. The constituent blend of cement, sand, and aggregate in different quantities yields varied properties of hardened concrete.
  1. Cement - The binding agent
  2. Sand - The fine aggregate fillers
  3. Aggregate - The load bearers and distributors

Use this calculator to determine quantities of cement, sand & concrete for concrete grades denoted by a prefixing M.

Calculation

Inputs



Cross Section Shape
:Rectangle



Cement Bag
:50.0kg



Wet to Dry Volume Factor
:1.54

Cross Section Dimensions


Length/Radius
:3.0m



Height
:1.0m



Breadth
:2.0m

Concrete Grade


Concrete Grade
:M15.

Density (kg/m^3)


Cement
:1440.0



Sand
:1600.0



Aggregate
:1600.0



Output

Total Volumes


Wet Volume
:6.0m3



Dry Volume
:9.24m3


Cement



Volume
:1.32m3



Weight
:1900.8kg



Bag(s)
:39


Sand



Volume
:2.64m3



Weight
:4224kg


Aggregate



Volume
:5.28m3



Weight
:8448kg



Explanation

There are two types of concrete mixes:
  1. Nominal mix - For your general small-scale construction use. Considers factor of safety against general quality control issues.
  2. Design mix - Mix proportions obtained from lab tests. Generally used for high strength requirements.
Concrete grades are denoted by a prefixing M - which stands for Mix - to the desired minimum compressive strength after 28 days of drying in MPa.
Concrete grades above M25 incorporate design mix favourable over nominal mix concrete (explored by this calculator). This is indicative of different workability requirements and risk of deviation.

About the calculation:
The initial dimensions provided constitute the wet volume of the concrete mixture and are converted into dry volume and then into actual volume:

Actual Volume=Dry VolumeSum of mix ratioActual\ Volume=\frac{Dry\ Volume}{Sum\ of\ mix\ ratio}
This is used to determine the component quantities using the respective ratios.


Component Volume =Actual VolumeComponent RatioComponent\ Volume\ =Actual\ Volume\cdot\,Component\ Ratio
For each concrete constituent:

Mass=Component VolumeComponent DensityMass=Component\ Volume\cdot\,Component\ Density
To determine the amount of bags required:

Bags Required=Cement VolumeCement DensityCement Bag WeightBags\ Required=Cement\ Volume\cdot\frac{Cement\ Density}{Cement\ Bag\ Weight}

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