Let us design a rectangular water tank for a family of 5 persons as shown below.
According to BIS standard IS 1172-1993, the average water consumption per capita (LIG) in India is 135 liters/ day.
The volume of water required ( in liters ) per day for 5 persons
= [ per capita consumption /day × no. of persons.]
= [ 135 liters × 5 nos.]
= 675 liters.
Now, let us build a water tank having 3ft. depth as shown below.
A. Method - 1:
As you know,
The volume of water tank
V1 = [ length (L) × breadth (B) × Depth ( D ) ]
= [ L × B × 3 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]
= [ 675 liters + {( 15 ÷ 100) × 675 liters}]
= [ 675 liters. + 101.25 liters ]
= 776.25 liters.
As you know,
1 cu ft. = 28.3168 liters
So, the vol. V of the water tank in cu ft.
= [ 776. 25 ÷ 28.3168 ] cu ft.
= 27.41 cu ft.
Now,
V = [( L × B) × 3 ft. ]
27.41cu ft. = [ (L × B )× 3 ft. ]
By cross multiplication,
(L × B ) = [27.41 cu ft. ÷ 3 ft.]
= 9.14 sq ft.
You can choose any one of the lengths ( L ) or breadth ( B ), according to the available space for the tank construction.
Suppose if the ideal required length L= 4ft. then,
(L × B ) = 9.14 sq. ft.
( 4ft.× B ) = 9.14 sq. ft.
B = [9.14 sq. ft. ÷ 4 ft. ]
= 2.285 ft.
The dimension of the water tank for holding water/ day
= L × B × H
= 4ft. × 2.285 ft. × 3ft.
= 27.42 cu ft.
Note :
If you want to store the water for the 2days requirement, then you have to double any one dimension or recalculate for the 2 days water consumption.
For Eg., Let us take 2 times the breadth to double the vol. of the tank
= [L × ( 2 × B) × D ]
= [4ft. × (2 × 2.285 ft.) × 3 ft.]
= [ 4ft. × 4.57 ft. × 3 ft.]
= 54.84 cu ft. ( double the vol. of 27.42 cu ft.)
B. Method-2:
Let us assume the ideal required dimensions of the tank is as shown in the drawing.
Length L = 2 × depth = 2D
Breadth B = 1.5 × depth = 1.5D
The required vol. of water tank
= 27.41 cu ft. (as calculated above. )
Now,
V = [ L × B × D]
27.41 cu ft. = [ ( 2D ) × ( 1.5D) × D ]
27.41 cu ft. = [ 3 × D3 ]
D3
D = [∛ 9.136 cu ft.]
= 2.09 ft.
Length = 2D = [2 × 2.09 ft.]
= 4.18 ft.
Breadth = 1.5D = [ 1.5 × 2.09 ft]
= 3.135 ft.
The dimension of the water tank for holding water/ day
= L × B × H
= 4.18 ft. × 3.135 ft. × 2.09 ft.
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Thank you for going through this article❤. Have a good day 😄.
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