A trapezoidal channel has a bottom width of 75 ft and side slopes of 4:1 (4 horizontal and 1 vertical). The channel has a normal depth of 25 ft with constant bed slope So of 2.0 x 10-4 The channel extends upstream from this cross section for exactly 3 miles. 25 ft 75 ft A) Assume that the channel is concrete lined for the first 10 feet (vertically) with n = 0.015 and grass lined the remaining 15 feet with n = 0.035. Solve for Q based on the yn provided above.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A trapezoidal channel has a bottom width of
75 ft and side slopes of 4:1 (4 horizontal and
1 vertical). The channel has a normal depth
of 25 ft with constant bed slope So of 2.0 x
10-4 The channel extends upstream from
this cross section for exactly 3 miles.
25 ft
75 ft
A) Assume that the channel is concrete lined
for the first 10 feet (vertically) with n = 0.015
and grass lined the remaining 15 feet with n
= 0.035. Solve for Q based on the yn
%3D
provided above.
Transcribed Image Text:A trapezoidal channel has a bottom width of 75 ft and side slopes of 4:1 (4 horizontal and 1 vertical). The channel has a normal depth of 25 ft with constant bed slope So of 2.0 x 10-4 The channel extends upstream from this cross section for exactly 3 miles. 25 ft 75 ft A) Assume that the channel is concrete lined for the first 10 feet (vertically) with n = 0.015 and grass lined the remaining 15 feet with n = 0.035. Solve for Q based on the yn %3D provided above.
B) Using manning's equation, solve for a
uniform channel n value which would result
in the same Qn found in part A.
C) Using your results from A and B, compute
the M1 backwater profile starting at depth
+3 ft greater than normal depth the
downstream section and proceed upstream
to a depth 1% greater than normal depth.
Use increments of 0.25 ft for the backwater
calculation. Present depth data in a table
that approaches within 1% of normal depth
in 0.25 ft increments over the entire
backwater profile. How far upstream (in feet)
from the yo given does the channel reach
Yn again?
D) Compute the critical depth
Transcribed Image Text:B) Using manning's equation, solve for a uniform channel n value which would result in the same Qn found in part A. C) Using your results from A and B, compute the M1 backwater profile starting at depth +3 ft greater than normal depth the downstream section and proceed upstream to a depth 1% greater than normal depth. Use increments of 0.25 ft for the backwater calculation. Present depth data in a table that approaches within 1% of normal depth in 0.25 ft increments over the entire backwater profile. How far upstream (in feet) from the yo given does the channel reach Yn again? D) Compute the critical depth
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