Let us design a square water tank for a factory building having 25 workers as shown below.
According to BIS standard IS 1172-1993, the average water consumption per head for a factory having bathrooms are ( India ) 45 liters/ day.
The volume of water required ( in liters ) per day for 25 workers
= [ per capita consumption /day × no. of workers.]
= [ 45 liters × 25 nos.]
= 1125 liters.
Now, let us build a water tank having 2ft. depth as shown below.
Given data:
Depth D = 2 ft.
As we are constructing a square tank, the length will be equal to the breadth.
i.e. L = B
A. Method - 1:
As you know,
The volume of the water tank
V1 = [ length (L) × breadth (B) × depth ( D ) ]
= [ L × B × 2 ft. ]
Here, the volume of the water tank is equal to the vol. of water consumed/day. Let us add 15% extra in the tank volume for the sump & emergency needs.
So, the required volume ( V )
= [water consumption/day + 15% of daily consumption]
= [ 1125 liters + {( 15 ÷ 100) × 1125 liters}]
= [ 1125 liters. + 168.75 liters ]
= 1293.75 liters.
As you know,
1 cu ft. = 28.3168 liters
So, the vol. V of the water tank in cu ft.
= [ 1293.75 ÷ 28.3168 ] cu ft.
= 45.688 cu ft.
Now,
V = [( L × B) × 2 ft. ]
45.688 cu ft. = [ ( L × L )× 2 ft. ]
By cross multiplication,
( L × L ) = [45.688 cu ft. ÷ 2 ft.]
L2 = 22.844 sq ft.
L = √22.844
= 4.779 ft.
The dimension of the water tank for holding water/ day
= L × B × H
= 4.779 ft. × 4.779 ft. × 2 ft.
Note :
If you want to store the water for the 2days requirement, then you have to double the value of L2 or recalculate for the 2 days water consumption.
For Eg., Let us take 2 times the L2 to double the vol. of the tank.
L2 = 22.844 sq ft. { as calculated}
Making L2 into 2 times
L2 = [2 × 22.844]
= 45.688 sq ft.
L = √45.688
= 6.759 ft.
Now, the vol. of a square tank
= L × B × H
= [ 6.759 ft. × 6.759 ft. × 2 ft.]
= 91.36 cu ft. ( i.e. double the capacity of 45.688 cu ft.)
B. Method-2:
Let us assume the ideal required dimensions of the square tank is as shown in the drawing.
Given data:
As we are constructing a square tank, the length will be equal to the breadth.
i.e. L = B
Length L = breadth B = 2 × depth = 2D
The required vol. of water tank
= 45.688 cu ft. (as calculated above. )
Now,
V = [ L × B × D]
45.688 cu ft. = [ ( 2D ) × ( 2D) × D ]
45.688 cu ft. = [ 4 × D3 ]
D3
D = [∛ 11.422 cu ft.]
= 2.252 ft.
Length = 2D = [2 × 2.252 ft.]
= 4.504 ft.
Breadth = length = 4.504 ft.
The dimension of the square water tank for holding water/ day
= L × B × H
= 4.504 ft. × 4.504ft. × 2.252 ft.
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Thank you for going through this article❤. Have a good day 😄.
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