Solve for the critical depth using a. Bisection Method b. False Position Method Use initial guesses of XI - 0.5 and Xu - 2.5, and iterate until the approximate error falls below 1% or the number of iterations exceeds 10.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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1. Water is flowing in a trapezoidal channel at a rate of Q
20 m'/s. The eritical depth y for such a channel must satisfy the
equation
0 =1
B
where g = 9.81 m/s², Aç = the cross-sectional area (m³), and B =
the width of the channel at the surface (m). For this case, the width
and the eross-sectional area can be related to depth y by
B- 3+y and Ac = 3y -
Solve for the critical depth using
a. Bisection Method
b. False Position Method
Use initial guesses of XI = 0.5 and Xu = 2.5, and iterate until the
approximate error falls below 1% or the number of iterations
еxceeds 10.
Transcribed Image Text:1. Water is flowing in a trapezoidal channel at a rate of Q 20 m'/s. The eritical depth y for such a channel must satisfy the equation 0 =1 B where g = 9.81 m/s², Aç = the cross-sectional area (m³), and B = the width of the channel at the surface (m). For this case, the width and the eross-sectional area can be related to depth y by B- 3+y and Ac = 3y - Solve for the critical depth using a. Bisection Method b. False Position Method Use initial guesses of XI = 0.5 and Xu = 2.5, and iterate until the approximate error falls below 1% or the number of iterations еxceeds 10.
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