A trapezoidal channel has a bottom width of 20 feet, has side slopes of 2H:1V, and carries a flow of 750 ft³/s. a. Find the flow depth at the head of a steep slope. b. Now consider the same trapezoidal channel has a mild slope that meets a steep rectangular channel that is the same width. If the transition between the two channels is short and ends at the head of the steep slope, find the depth at the upstream and downstream ends of the transition, assuming that the specific energy remains unchanged through the transition.
A trapezoidal channel has a bottom width of 20 feet, has side slopes of 2H:1V, and carries a flow of 750 ft³/s. a. Find the flow depth at the head of a steep slope. b. Now consider the same trapezoidal channel has a mild slope that meets a steep rectangular channel that is the same width. If the transition between the two channels is short and ends at the head of the steep slope, find the depth at the upstream and downstream ends of the transition, assuming that the specific energy remains unchanged through the transition.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A trapezoidal channel has a bottom width of 20 feet, has side slopes of 2H:1V, and carries a flow
of 750 ft³/s.
a. Find the flow depth at the head of a steep slope.
b. Now consider the same trapezoidal channel has a mild slope that meets a steep
rectangular channel that is the same width. If the transition between the two channels is
short and ends at the head of the steep slope, find the depth at the upstream and
downstream ends of the transition, assuming that the specific energy remains unchanged
through the transition.
Transcribed Image Text:For part a:
V
Side
View
Plane view of channel
[+y?
(trapezoidal)
Steep
1120411
For part b:
Mild
(Trapezoidal)
Side
View
Yia yıb
Transition
Steep
ngular)
Expert Solution
Step 1
Given:-
The bottom width of the trapezoidal channel = 20 ft
The side slope of the channel = 2H:1V
The rate of flow = 750 ft3/sec
To determine:-
a) The depth of the flow at the head of a steep slope
b) The depth at the upstream and downstream ends of the transition
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