An open channel is to be designed to carry 5 (m^3/s) at a slope of 0.06. The channel material has an n value of 0.01. Find the most effcient cross section for a trapezoidal section?

Community Answer

Honor CodeSolved 1 Answer

See More Answers for FREE

Enhance your learning with StudyX

Receive support from our dedicated community users and experts

See up to 20 answers per week for free

Experience reliable customer service

Get Started

Sution\begin{array}{l}B=|.1547 y| \\ \text { Also } R=\frac{y}{2} \rightarrow \text { For most } \\ \text { Q } 1 \text { Eunomical lution } \\ \Rightarrow A=\frac{B+B+2 \times \frac{y}{\sqrt{3}}}{2} \times y=\left(B+\frac{y}{\sqrt{3}}\right) \times y \\ =1.732 y^{2} \\ \Rightarrow Q=\frac{1}{n} R^{2 / 3} s^{1 / 2} \times A \\ \Rightarrow \quad 5=\frac{1}{0.01} \times\left(\frac{y}{2}\right)^{2 / 3} \times 0.06^{1 / 2} \times 1.732 y^{2} \\ y=0.533 \mathrm{~m} \quad B=0.615 \mathrm{~m} \\\end{array} ...