Let us consider a modular brick wall of size 1.667m. × 3m.× 200mm. as shown in the drawing.
Now, we will build this wall with a modular brick of size 190mm. × 90mm. × 90mm. as shown in the image below.
Given data:
Length of the brick wall = 1.667m.
Height of the brick wall = 3m.
The thickness of the brick wall = 200mm. = 0.20m.
Brick size = 190mm. × 90mm. × 90mm.
Mortar thickness = 10mm = 0.39 inches.
From the drawing given below, you can observe that the addition of the mortar thickness comes on the 3 sides of every brick. I have denoted them with nos. 1, 2, & 3.
So, the volume of the brick with mortar
= [200mm. ×100mm. × 100mm.]
=[ 0.2m × 0.1m. × 0.1m.
=0.002 cum.
1. The number of bricks required
= [volume of the wall ÷ volume of the brick with mortar]
= [1cum ÷ 0.002cum.]
= 500 nos.
The volume of mortar required
= [volume of the brick wall - ( the volume of the total no. of bricks )]
= [1 cum. - (500 nos. × 0.001539 cum.)]
= [1cum. - 0.7695 cum.]
=0.2305 cum
Let us prepare this 0.2305 cum. of mortar in a 1: 6 ratio to build this 1 cum. of the brick wall.
Dry volume of the cement mortar
= 1.33 × wet volume of the mortar.
= 1.33 × 0.2305
= 0.30656 cum.
2. Volume of the sand
= [{its ratio ÷ ( total ratio)} × dry mortar vol.]
= [{6 ÷ ( 6 + 1)} × 0.30656]
= [0.8571 × 0.30656]
= 0.2628 cum. or
= 9.28 cu ft.
3. Volume of the cement
= total dry mortar vol. - the volume of sand
= 0.30656 cum. - 0.2628 cum.
=0.04376 cum.
As you know, one bag of cement = 1.226 cu ft.
Number of cement bags
= [(0.04376 × 35.3147 )÷ 1.226 cu ft.]
= [1.5454 cu ft.÷ 1.226 cu ft.]
= 1.261 bags.
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Let us now find out the materials required for 1 cu ft. of a modular brick wall.
1. Bricks:
Bricks required for 1 cu ft. of brick wall
= 500 nos. ÷ 35.3147
= 14.158 nos.
2. Cement:
Cement required for 1 cu ft. of brick wall
= 1.261 bags. ÷ 35.3147
= 0.0357 bags.
3. Sand:
Sand required for 1 cu ft. of brick wall
= 0.2628 cum. ÷ 35.3147
= 0.0074 cum. or
= 0.26 cu ft.
Note: 1cum = 35.3147 cu ft.
Continued 👉 Rate analysis of modular brick wall work.
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