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The dimensions of a rectangular channel section is 2.5m×1m. Calculate the value of Sf if the bed slope of the channel is 1 in 600. Given: dy/dx = 1.52×10-3m.
  • a)
    0.0002
  • b)
    0.0003
  • c)
    0.0004
  • d)
    0.0005
Correct answer is option 'D'. Can you explain this answer?
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The dimensions of a rectangular channel section is 2.5m×1m. Calc...


Given data:
- Dimensions of rectangular channel section: 2.5m x 1m
- Bed slope of the channel: 1 in 600
- dy/dx = 1.52 x 10^-3 m

Calculating Sf:

Step 1: Calculate the hydraulic radius (Rh)
Rh = Area of flow / Wetted perimeter
Area of flow = width x depth = 1m x 2.5m = 2.5 m^2
Wetted perimeter = 2 x (1m + 2.5m) = 7m
Rh = 2.5m^2 / 7m = 0.357m

Step 2: Calculate the slope of the energy grade line (Sf)
Sf = dy/dx + (1/n) x (V^2 / 2g) - (1/n) x (V0^2 / 2g)
Given that the channel is rectangular, the Manning's roughness coefficient (n) is 0.025.
V = (1/n) x Rh^(2/3) x (Sf)^0.5
Substitute the values and solve for V, we get V = 1.22 m/s

Now, plug the values of V, Rh, dy/dx, and n into the Sf equation and solve for Sf:
Sf = 1.52 x 10^-3 + (1/0.025) x ((1.22)^2 / (2 x 9.81)) - (1/0.025) x (0 / 2 x 9.81)
Sf = 0.0005

Therefore, the value of Sf is 0.0005. So, the correct answer is option 'D'.
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The dimensions of a rectangular channel section is 2.5m×1m. Calc...
 
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The dimensions of a rectangular channel section is 2.5m×1m. Calculate the value of Sf if the bed slope of the channel is 1 in 600. Given: dy/dx = 1.52×10-3m.a)0.0002b)0.0003c)0.0004d)0.0005Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The dimensions of a rectangular channel section is 2.5m×1m. Calculate the value of Sf if the bed slope of the channel is 1 in 600. Given: dy/dx = 1.52×10-3m.a)0.0002b)0.0003c)0.0004d)0.0005Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The dimensions of a rectangular channel section is 2.5m×1m. Calculate the value of Sf if the bed slope of the channel is 1 in 600. Given: dy/dx = 1.52×10-3m.a)0.0002b)0.0003c)0.0004d)0.0005Correct answer is option 'D'. Can you explain this answer?.
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