Use Newton-Raphson Method accurate
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Methods in solving Non-linear equations
![2. The flow for an open channel is given by the equation Q= VA
where:
and
H
n = Manning's roughness coefficient
R = hydraulic radius
R = A/P
A = area of the channel
A = (BH)
P = wetted perimeter
P = (B + 2H)
S = slope of the open channel
B
2 1
R3 S2
V = 1/2 R³5
n
H
Determine the height of the water (H) in the open channel if the flow Q = 5 m³/s.
The width of the channel is 20 m, Manning's roughness coefficient n = 0.03, and slope of the
channel S = 0.0002
Use Newton-Raphson Method accurate up to 4 significant figures (Z = 0.005%)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f339098-ef29-468c-b5a2-3d8aa344439d%2F5af040cf-ac6b-498b-93cf-aa3910511250%2Fyqgttne_processed.png&w=3840&q=75)
Transcribed Image Text:2. The flow for an open channel is given by the equation Q= VA
where:
and
H
n = Manning's roughness coefficient
R = hydraulic radius
R = A/P
A = area of the channel
A = (BH)
P = wetted perimeter
P = (B + 2H)
S = slope of the open channel
B
2 1
R3 S2
V = 1/2 R³5
n
H
Determine the height of the water (H) in the open channel if the flow Q = 5 m³/s.
The width of the channel is 20 m, Manning's roughness coefficient n = 0.03, and slope of the
channel S = 0.0002
Use Newton-Raphson Method accurate up to 4 significant figures (Z = 0.005%)
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