1. Water is flowing in a trapezoidal channel at a rate of Q20 m'/s. The eritical depth y for such a channel must satisfy theequation0 =1Bwhere 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 widthand the eross-sectional area can be related to depth y byB- 3+y and Ac = 3y -Solve for the critical depth usinga. Bisection Methodb. False Position MethodUse initial guesses of XI = 0.5 and Xu = 2.5, and iterate until theapproximate error falls below 1% or the number of iterationsеxceeds 10.

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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.

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

Problem 1P

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Question

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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