What slope of an open channel is needed to keep the velocity of water in it below 0.75 m/s to prevent scouring of the bottom. The channel has a trapezoidal cross section area with a bottom width of 5.0 m and sides with a slope of 4:1 (horizontal to vertical) and is lined with fine gravel and is to carry 16 m3/s flow. (n= 0.02).

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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What slope of an open channel is needed to keep the velocity of
water in it below 0.75 m/s to prevent scouring of the bottom.
The channel has a trapezoidal cross section area with a bottom
width of 5.0 m and sides with a slope of 4:1 (horizontal to
vertical) and is lined with fine gravel and is to carry 16 m3/s
flow. (n = 0.02).
Is the flow subcritical or supercritical?
%3D
Transcribed Image Text:What slope of an open channel is needed to keep the velocity of water in it below 0.75 m/s to prevent scouring of the bottom. The channel has a trapezoidal cross section area with a bottom width of 5.0 m and sides with a slope of 4:1 (horizontal to vertical) and is lined with fine gravel and is to carry 16 m3/s flow. (n = 0.02). Is the flow subcritical or supercritical? %3D
Expert Solution
Step 1

Velocity = 0.75 m/s

Bottom width = 5 m

n = 0.02

Q = 16 m3/ s

Top width = 4+4+5
                = 13 m

   Area of trapazoid =13+52×1                                   =9 m2             Sloping side = 4.12Perimeter of section =13.24 m 

          

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