Most economical trapezoidal channel section | H & HM | hindi | civil mantra

Most economical trapezoidal channel section-

The most economical section (also called the best section or most efficient section) is one which gives the maximum discharge for a given amount of excavation.
From continuity equation it is evident that discharge is maximum when velocity is maximum, the area of crosssection of channel remaining constant. From Chezy’s formula and Manning’s formula it can be seen that for a given value of slope and surface roughness the velocity of flow will be maximum if hydraulic radius A R P  = =   is maximum. Further the area being constant hydraulic radius is maximum if the wetted perimeter is minimum; this condition is used to determine the dimensions of economical sections of different forms of channels. The best form of channel which complies with this condition is one which has a semi-circular cross-section.
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