(a) An irrigation channel of trapezoidal section with side slopes of 3 horizontal to 2 vertical carries discharge of $12 \mathrm{~m}^{3} / \mathrm{s}$. Bed slope of channel is 1 in 6000 . The channel is to be lined with a material having roughness coefficient $\mathrm{n}=0.015$. Design the most economical section of channel.
Explanation
The most economical section is designed using the given discharge, bed slope, and Manning's equation. The width, depth, top width, hydraulic radius, and slope are calculated to determine the discharge.
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