a water resource engineer is in charge of designing a trapezoidal open channel for flood control. Typically, these types of channels are made of concrete. Use Manning’s Equation. Flowrate (Qb), channel slope (S0), bottom width (Bw), channel sidewall angle (θ), actual depth (y), and Manning’s coefficient (n) are tabulated below. State all assumptions. * z is the sidewall ratio: for every 1 unit increase in depth, the top width increases by z on each side of the channel, or 2z total. A) Given the actual depth, y = 1.25 ft, find the discharge Qa. B) Find the Critical Depth, yc, for the discharge Qa found in (a). For a trapezoid, dA/dy =Bw +2 yz . Is the flow sub- or super-critical? C) Determine the uniform flow normal depth (yn) at Qb = 209 cfs.
a water resource engineer is in charge of designing a trapezoidal open channel for flood control. Typically, these types of channels are made of concrete. Use Manning’s Equation. Flowrate (Qb), channel slope (S0), bottom width (Bw), channel sidewall angle (θ), actual depth (y), and Manning’s coefficient (n) are tabulated below. State all assumptions. * z is the sidewall ratio: for every 1 unit increase in depth, the top width increases by z on each side of the channel, or 2z total. A) Given the actual depth, y = 1.25 ft, find the discharge Qa. B) Find the Critical Depth, yc, for the discharge Qa found in (a). For a trapezoid, dA/dy =Bw +2 yz . Is the flow sub- or super-critical? C) Determine the uniform flow normal depth (yn) at Qb = 209 cfs.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
a water resource engineer is in charge of designing a
trapezoidal open channel for flood control. Typically, these types of channels are made of
concrete. Use Manning’s Equation.
Flowrate (Qb), channel slope (S0), bottom width (Bw), channel sidewall angle (θ), actual depth
(y), and Manning’s coefficient (n) are tabulated below. State all assumptions.
* z is the sidewall ratio: for every 1 unit increase in depth, the top width increases by z on each
side of the channel, or 2z total.
A) Given the actual depth, y = 1.25 ft, find the discharge Qa.
B) Find the Critical Depth, yc, for the discharge Qa found in (a). For a trapezoid,
dA/dy =Bw +2 yz .
Is the flow sub- or super-critical?
C) Determine the uniform flow normal depth (yn) at Qb = 209 cfs.
D) If the slope is increased to 0.001, what roughness coefficient would be needed to
maintain the same discharge Qa? What about for Qb? Would it be the same value?
side of the channel, or 2z total.
A) Given the actual depth, y = 1.25 ft, find the discharge Qa.
B) Find the Critical Depth, yc, for the discharge Qa found in (a). For a trapezoid,
dA/dy =Bw +2 yz .
Is the flow sub- or super-critical?
C) Determine the uniform flow normal depth (yn) at Qb = 209 cfs.
D) If the slope is increased to 0.001, what roughness coefficient would be needed to
maintain the same discharge Qa? What about for Qb? Would it be the same value?
Transcribed Image Text:Variable
y
Qb
So
Bw
Z*
n
Units
ft
cfs
ft/ft
ft
ft
Value
1.25
209
0.0007
12.5
1.1
0.012
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 6 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Solution is done neatly, using same solution what would happen If the slope is increased to 0.001, what roughness coefficient would be needed to
maintain the same discharge Qa? What about for Qb? Would it be the same value?
Solution
by Bartleby ExpertKnowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning