A trapezoidal channel with a bottom width of 3.0 m and sides with a slope of 2:1 (horizontal: vertical) is lined with fine gravel (n = 0.020) and is to carry 10 m3/s. The channel bed slope is 0.001. a) For the given channel, express the hydraulic radius, Rh, and hydraulic depth, yn in terms of the depth of flow section, y. b) Using an ultrasonic flow meter, the average velocity at a certain cross-section of the channel is measured and is equal to 0.75 m/s. Find the Froude number at this portion of the channel. c) Calculate the normal depth, yn. d) Calculate the critical depth, yc. 2Y Y 3m 2Y-

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A trapezoidal channel with a bottom width of 3.0 m and
sides with a slope of 2:1 (horizontal: vertical) is lined
with fine gravel (n = 0.020) and is to carry 10 m3/s.
The channel bed slope is 0.001.
a) For the given channel, express the hydraulic radius,
Rh, and hydraulic depth, yn in terms of the depth of flow
section, y.
b) Using an ultrasonic flow meter, the average velocity
at a certain cross-section of the channel is measured
and is equal to 0.75 m/s. Find the Froude number at
this portion of the channel.
c) Calculate the normal depth, yn.
d) Calculate the critical depth, yc.
+
Y
3m
2Y
-2Y
Transcribed Image Text:A trapezoidal channel with a bottom width of 3.0 m and sides with a slope of 2:1 (horizontal: vertical) is lined with fine gravel (n = 0.020) and is to carry 10 m3/s. The channel bed slope is 0.001. a) For the given channel, express the hydraulic radius, Rh, and hydraulic depth, yn in terms of the depth of flow section, y. b) Using an ultrasonic flow meter, the average velocity at a certain cross-section of the channel is measured and is equal to 0.75 m/s. Find the Froude number at this portion of the channel. c) Calculate the normal depth, yn. d) Calculate the critical depth, yc. + Y 3m 2Y -2Y
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