Let us consider M10 grade PCC as shown in the below drawing for the calculation purpose.
Length of the PCC bed = 4m.
Breadth of the PCC = 2.5m.
The thickness of the PCC = 100mm. = 0.01m.
The volume of the PCC bed
= length × breadth × thickness
= 4m. × 2.5m. × 0.01m.
= 1 CUM.
Here,
Cement:sand: aggregates = 1:3:6 (a:b:c)
M10 grade means ðŸ‘‰ 1:3:6 ratio.
Wet volume of PCC = 1 cum.
Now, dry volume of PCC
= 1.54 × wet volume of concrete.
= 1.54 × 1 cum = 1.54 cum.
1. Volume of cement required
= [{its ratio ÷ (total ratio)} × dry volume of PCC.]
=[{ a ÷ (a + b + c)} × dry volume of PCC.]
= [{1÷ ( 1 + 3 +6 )} × 1.54]
= [{ 1 ÷ 10 } × 1.54]
= [0.1 × 1.54]
= 0.154 cum.
As you know, 1 bag of cement = 0.03472 cum.
So, the number of cement bags required
= 0.154 cum. ÷ 0.03472 cum.
= 4.435 bags
Weight of cement
= 4.435 bags × 50 kgs.
(1 bag of cement = 50 kgs.)
= 221.77 kgs.
2. Volume of sand required
= [{its ratio ÷ (total ratio)} × dry volume of PCC.]
=[{ b ÷ (a + b + c)} × dry volume of PCC.]
= [{3÷ ( 1 + 3 +6 )} × 1.54]
= [{3 ÷ 10 } × 1.54]
= [0.3 × 1.54]
= 0.462 cum.
= 16.32 cu ft.
3. Volume of aggregates required
= [{its ratio ÷ (total ratio)} × dry volume of PCC.]
=[{ c ÷ (a + b + c)} × dry volume of PCC.]
= [{6÷ ( 1 + 3 +6 )} × 1.54]
= [{ 6 ÷ 10 } × 1.54]
= [0.6 × 1.54]
= 0.924 cum.
= 32.63 cu ft.
4. Volume of water required.
Let us consider the w/c ratio for M10 grade concrete as 0.5.
i.e. wt. of cement / wt. of water = 0.5
So, the weight. of water
= 0.5 × wt. of cement
=0.5 × 221.77 kgs
= 110.89 kgs
= 110.89 liters
( 1kg= 1 liter)
Note: This w/c ratio holds good if you use plasticizers. Practically for good workability, the water we add for the concrete is 133 liters.
Alternate method:
1. Volume of cement ( from above) = 0.154 cum.
2. Volume of sand
= [volume of cement × b]
= [0.154 cum × 3]
= 0.462 cum.
3. Volume of aggregates
= [volume of cement × c]
= [ 0.154 cum × 6]
= 0.924 cum.
Materials in 1CUM of M10 grade PCC. |
||||
Sl. No. |
Item |
Unit |
In cum. |
In cu ft. |
1. |
Cement |
bags |
4.435 bags |
- |
2. |
Sand |
- |
0.462 |
16.32 |
3. |
Aggregates |
- |
0.924 |
32.63 |
4. |
Water |
litres |
110.89 |
- |
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