You are working for a big engineering company. The company has a project on building a channel, and you are a junior engineer in that project. The designed channel has a rectangular cross-section (B=20m and H=10m as shown in the Figure 1) and carries water from a hill to a valley which produces a flow rate of 5 m/sec of rainwater. The steady-state flow rate equation is given by 0.48(20h)5/3 (20+2h)²/3 V(t)= a) Use the bisection method of finding roots of equations to find the height of the water in the channel in order to get a flow rate of 5 m/sec. b) Use the secant method of finding roots of equations to find the height of the water in the channel in order to get a flow rate of 5 m³/sec. c) What is your observation on both methods ** The calculation is in 2 decimal point and given e=0.1 H=10 m h B =20 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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You are working for a big engineering company. The company has a project on building a
channel, and you are a junior engineer in that project. The designed channel has a rectangular
cross-section (B=20m and H=10m as shown in the Figure 1) and carries water from a hill to a
valley which produces a flow rate of 5 m³/sec of rainwater. The steady-state flow rate equation
is given by
0.48(20h)5/3
V(t)=
(20+2h)²/3
a) Use the bisection method of finding roots of equations to find the height of the water in
the channel in order to get a flow rate of 5 m³/sec.
b) Use the secant method of finding roots of equations to find the height of the water in the
channel in order to get a flow rate of 5 m³/sec.
c) What is your observation on both methods
** The calculation is in 2 decimal point and given e=0.1
H=10 m
h
B =20 m
Figure 1: A channel
Transcribed Image Text:You are working for a big engineering company. The company has a project on building a channel, and you are a junior engineer in that project. The designed channel has a rectangular cross-section (B=20m and H=10m as shown in the Figure 1) and carries water from a hill to a valley which produces a flow rate of 5 m³/sec of rainwater. The steady-state flow rate equation is given by 0.48(20h)5/3 V(t)= (20+2h)²/3 a) Use the bisection method of finding roots of equations to find the height of the water in the channel in order to get a flow rate of 5 m³/sec. b) Use the secant method of finding roots of equations to find the height of the water in the channel in order to get a flow rate of 5 m³/sec. c) What is your observation on both methods ** The calculation is in 2 decimal point and given e=0.1 H=10 m h B =20 m Figure 1: A channel
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