Calculate the Cement, Sand and Stone quantities for M15(1:2:4) Grade of Concrete

The mix ratio for M15 grade concrete is typically 1:2:4. This means that for each 1 box of cement, you have to add 2 boxes of fine aggregate and 4 boxes of coarse aggregate.

1 box of cement : 2 boxes of fine aggregate : 4 boxes of coarse aggregate

Let us calculate the quantities of Cement, Fine aggregate, Coarse aggregate and Water quantity to get 1 m3 of Concrete.

Concrete Grade M15 Ratio = 1:2:4

Total number of boxes = 1+2+4 = 7 boxes.

Total volume needs to be calculated = 1 m3


Volume of Cement:

Volume of cement/Total Volume = 1/7

Volume of cement = 1/7 * Total Volume

= 1/7 * 1

= 0.143 m3


Volume of Fine Aggregate:

Volume of Fine Aggregate/Total Volume = 2/7

Volume of Fine Aggregate = 2/7 * Total Volume

= 2/7 * 1

= 0.286 m3


Volume of Coarse Aggregate:

Volume of Coarse Aggregate/Total Volume = 4/7

Volume of Coarse Aggregate = 4/7 * Total Volume

= 4/7 * 1

= 0.572 m3


Volume of Water:

Water-Cement Ratio = 0.45

Volume of Water/Volume of Cement = 0.45

Volume of Water = 0.45 * Volume of cement

= 0.45 * 0.143

= 0.06435 m3

= 0.06435 * 1000 lit (1 m3 = 1000 liters)

= 64.35 liters


For M15 Grade of Concrete, the quantities in m3 are :

Cement : Fine Aggregate : Coarse Aggregate = 0.143 m3 : 0.286 m3 : 0.572 m3

For M15 Grade of Concrete, the quantities in kgs are :

To calculate the quantity in kgs, we have to find the density of Materials,

As per NBC;

The density of cement = 1440 kgs

The density of River sand = 1840 kgs

The density of Broken Ballast Stone = 1600 kgs

Cement : River Sand : Ballast stone = 0.143 * 1440 kgs : 0.286 * 1840 kgs : 0.572 * 1600 kgs

Cement : River Sand : Ballast stone = 205.92 kgs : 526.24 kgs : 915.2 kgs

Cement : River Sand : Ballast stone = 206 kgs : 526 kgs : 915 kgs


Summary:

  • Mix Ratio: 1:2:4 (Cement: Sand: Coarse Aggregate)
  • Total Volume: 1 m³

1. Cement:

  • Volume = 0.143 m³
  • Density = 1440 kg/m³ (as per NBC)
  • Quantity = (Volume * Density) ≈ 206 kg (or 4.2 bags)

2. Sand (River Sand, Dry):

  • Volume = 0.286 m³
  • Density = 1840 kg/m³ (as per NBC)
  • Quantity ≈ 526 kg

3. Coarse Aggregate (Ballast Stone, Dry):

  • Volume = 0.572 m³
  • Density = 1600 kg/m³ (as per NBC)
  • Quantity ≈ 915 kg

4. Water:

  • Water-Cement Ratio = 0.45
  • Volume of Water = 0.45 * Volume of Cement
  • Quantity = (Volume of Water * 1000) ≈ 64.35 liters

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