2. A 1.50 m diameter circular channel flowing at maximum velocity is to be replaced by a trapezoidal channel of the most efficient section with one side slope at 2V:3H and the other at 4V:3H. The two channels have the same longitudinal slopes of 0.010 and the same roughness coefficient, n = 0.030. Determine the dimensions of the trapezoidal channel using Manning's equation.

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter13: Slope Stability
Section: Chapter Questions
Problem 13.25P
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Solve the following problems, with precise supplementary figures
2. A 1.50 m diameter circular channel flowing
at maximum velocity is to be replaced by a
trapezoidal channel of the most efficient
section with one side slope at 2V:3H and the
other at 4V:3H. The two channels have the
same longitudinal slopes of 0.010 and the
same roughness coefficient, n = 0.030.
Determine the dimensions of the trapezoidal
channel using Manning's equation.
Transcribed Image Text:2. A 1.50 m diameter circular channel flowing at maximum velocity is to be replaced by a trapezoidal channel of the most efficient section with one side slope at 2V:3H and the other at 4V:3H. The two channels have the same longitudinal slopes of 0.010 and the same roughness coefficient, n = 0.030. Determine the dimensions of the trapezoidal channel using Manning's equation.
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