Hey, guys welcome to we civil engineers.
In this video, I'm going to teach you " How
to calculate the quantity of Bricks, cement,
and sand in a 9-inch thick wall.
so, let's get started.
Let's assume a wall of 10 foot long and 6-foot
height. and the thickness of the wall as 9
inches.
I'm considering the brick size as 9inch x
4.5-inch x 3 inches, and the thickness of
the mortar as 0.39 inch.
Add this thickness of mortar to brick size
to get the exact quantity of the bricks.
So, brick size with mortar is equaled to 9+0.39
inch, similarly 4.5+0.39 inch, 3+0.39 inch,
so when you add this 0.39 t the brick size
then it will become 9.39x4.89x3.39 inches.
Soo, to calculate the number of bricks you
have to remember a simple formula.
I.e., No. of bricks = volume of brickwork
divided by volume of one
brick with mortar.
For ease of calculations, I'm converting these
inches value into the foot.
To do that we have to divide inch value with
12.
Because one foot = 12 inches.
So, 9/12=0.75 foot,4.5/12=0.375 foot, 3/12=0.25
foot.
If you multiply these three values then you
will get it as 0.070 cubic foot.
So, the volume of one brick is 0.070 cubic
feet.
Similarly.
Volume of 1 brick with mortar is equaled to
9.39/12=0.783, 4.89/12=0.408, 3.39/12=0.283
foot.
So, you have to multiply these three values
to get the volume of one brick with mortar.
Which is equals to 0.090 cubic foot.
Now, we know the volume of 1 brick with mortar.
Let us derive the volume of brickwork.
which is nothing but the volume of the wall.
so, the volume of brickwork or volume of the
wall is equaled to 10-foot x 6-foot x 0.75foot.
so, you multiply these three values then you
will get it as 45 cubic feet.
Now, we know the volume of brickwork and we
know the volume of 1 brick with mortar.
So, if you substitute this value &this value
in this formula to get the number of bricks.
Number of bricks = 45 cubics foot / 0.090
cubic foot, which equals to 500 no's.
In a construction site, there will be some
wastages, it is generally in the range of
5 to 10 %.
In this case, I'm considering the % brick
wastage.
So,no.of bricks = 500 (which is total number
of bricks) plus 10% of 500.
Which is equals to 550.
So, you need 550 no of bricks to construct
a wall of 10 foot long and 6-foot height having
a thickness of 9 inches.
Now, let's find out the quantity of cement.
In order to do that you have to remember a
simple formula i.e., Quantity of mortar= quantity
of brickwork-volume of the bricks.
Which is nothing but we have deduct the volume
of the bricks from the volume of the wall.
We have already derived the volume of 1 brick,
which is 0.070 cubic foot.
So, if you multiply 500 no. of bricks with
0.070 then you will get the volume of the
bricks, which is equal to 35 cubic foot.
Now, we know the quantity of brickwork and
we know the volume of bricks, so let's substitute
the values to get the quantity of mortar.
Quantity of mortar = 45-35 which is equal
to 10cubic foot.
Here, this 10 cubic foot is the wet volume
of the mortar.
So, to get the dry volume of the mortar, we
have to multiply wet volume with 1.33.
Which means the dry volume of the mortar is
33% more than the wet volume.
So, the dry volume of the mortar equals to
10x1.33=13.3 cubic foot.
Even in the mortar also some wastage will
be there.
So, consider 5% wastage of mortar.
Dry volume of the mortar = 13.3 + (13.3x0.05)
which is 5% of the 13.3
So, if you add these 2 values then you will
get it as 13.965 cubic foot.
Let's say 14cubic foot.
You can get the quantity of cement by this
formula, which is "(dry volume of the mortar
)x cement ratio/sum of the rato.
Therefore, the quantity of cement = 14 x 1
(here, 14 is the dry volume of the mortar
& 1 is the cement ratio and 5 is the sand
ratio).
So, if you calculate it then you will get
it as 2.333cubic foot.
Since we already know the density of cement
is 1440 kg/m3.
and 1 m3=35.3147cubic foot.
So, to get the weight of the cement we have
to convert this cubic foot value into meter
cube.
therefore, quantity of cement equal to 2.333/35.3147
= 0.066cubic meter.
Now, if you multiply this value with density
of the cement then you will get the weight
of the cement.
Therefore weight of cement = 1440 x 0.066
=95.04 kg.
1 bag of cement contains 50kg of cement.
therefore, if you divide 95.04 value with
50kg you get the number of bags.
Number of bags=1.90, let's say 2 no of bags.
Now let us find out the quantity of cement.
Since cement and sand are in the ratio of
1:5, if you multiply quantity of cement with
5 then you get the quantity of sand.
therefore quantity of sand = 2.33 x 5= 11.665
cubic foot.
Since 1 cubic meter is equal to 35.3147 cubic
foot.
divide 11.665 by 35.3147 to get the quantity
of sand in cubic meter.
Therefore, quantity of sand is equal to 0.330
cubic meter.
In this case, I'm considering density of sand
as 1600 kg/m3.
So, to get the weight of the cement to multiply
these 2 values which are " volume of the sand
and density of the sand".
So, 0.330 x1600=528 kg otherwise we can say
0.528 tonnes.
So, that's all for today guys.
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