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= VAwhere:andHn = Manning's roughness coefficientR = hydraulic radiusR = A/PA = area of the channelA = (BH)P = wetted perimeterP = (B + 2H)S = slope of the open channelB2 1R3 S2V = 1/2 R³5nHDetermine 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 thechannel S = 0.0002Use Newton-Raphson Method accurate up to 4 significant figures (Z = 0.005%)

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Answered: Use Newton-Raphson Method accurate

Engineering

Civil Engineering

Use Newton-Raphson Method accurate

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Finite element procedure and modelling

Finite element method (FEM) is a mathematical technique that primarily implements the numerical approach and finds approximate solutions to the engineering problems. The finite element method is widely used in many civil engineering applications, especially in the domain of structural mechanics to find solutions to partial differential equations (PDEs), which governs the motion of structures under external influences like loads.

Question

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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%)

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