Use Newton-Raphson Method accurate

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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NUMERICAL SOLUTIONS (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. ANSWER IN 2 DECIMAL PLACES) Box the final answer!

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%)
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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