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Determine the dimensions of the irrigation canal for the following data: B/D ratio = 3.7, N = 0.0225, m= 1, S= 1/4000. Side slopes of the channel is ½ horizontal to 1 vertical. Also determine the discharge which will be flowing in the channel.?
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Determine the dimensions of the irrigation canal for the following dat...
Dimensions of Irrigation Canal:

  • B/D ratio = 3.7

  • N = 0.0225

  • m = 1

  • S = 1/4000

  • Side slopes of the channel is ½ horizontal to 1 vertical



To determine the dimensions of the irrigation canal, we can use the Manning's formula which is given as follows:
Q = (1/n)A(R^2/3)S^1/2

Where,
Q = Discharge (m^3/s)
n = Manning's roughness coefficient
A = Cross-sectional area of the flow (m^2)
R = Hydraulic radius (m)
S = Slope of the bed (m/m)

Discharge Calculation:

  • Manning's roughness coefficient (n) can be estimated based on the type of channel material and its condition. Assuming n = 0.025 for a concrete-lined channel.

  • From the given data, B/D ratio = 3.7. Let's assume a depth of 1 meter (D = 1m). Therefore, the width (B) can be calculated as B = 3.7 x D = 3.7m.

  • Cross-sectional area (A) = B x D = 3.7 x 1 = 3.7m^2

  • Hydraulic radius (R) = A/P where P is the wetted perimeter. For a trapezoidal channel with side slopes of ½ horizontal to 1 vertical, P can be calculated as P = D(1 + 2[(1^2 + 1/2^2)^1/2]) = 5.06m. Therefore, R = 3.7 x 1 / 5.06 = 0.731m

  • From the given data, S = 1/4000

  • Substituting the values in the Manning's formula, we get Q = (1/0.025) x 3.7 x (0.731^2/3) x (1/4000)^1/2 = 0.098m^3/s



Therefore, the discharge flowing in the channel is 0.098m^3/s.

Dimensions of Irrigation Canal:

  • Width (B) = 3.7m

  • Depth (D) = 1m



Therefore, the dimensions of the irrigation canal are 3.7m (width) and 1m (depth).
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Determine the dimensions of the irrigation canal for the following data: B/D ratio = 3.7, N = 0.0225, m= 1, S= 1/4000. Side slopes of the channel is ½ horizontal to 1 vertical. Also determine the discharge which will be flowing in the channel.?
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Determine the dimensions of the irrigation canal for the following data: B/D ratio = 3.7, N = 0.0225, m= 1, S= 1/4000. Side slopes of the channel is ½ horizontal to 1 vertical. Also determine the discharge which will be flowing in the channel.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Determine the dimensions of the irrigation canal for the following data: B/D ratio = 3.7, N = 0.0225, m= 1, S= 1/4000. Side slopes of the channel is ½ horizontal to 1 vertical. Also determine the discharge which will be flowing in the channel.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the dimensions of the irrigation canal for the following data: B/D ratio = 3.7, N = 0.0225, m= 1, S= 1/4000. Side slopes of the channel is ½ horizontal to 1 vertical. Also determine the discharge which will be flowing in the channel.?.
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