ef38e668-73f3-4f65-b519-ccbb71a52730 112 5 7 decimal

1. Example:Main Canal Design - To Find the Normal & Critical Depth

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Note:Input values highlighted. Default Units - SI

1. Input

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Q.d 10 m 3^s / * :

Design discharge

Q.ol 12 m 3^s / * :

Overloaded discharge

Bed width

BW 4.0 m * :

Bed slope

S.0 0.00015 :

Side slope

Z 2 :

percent (#1) ％ 1100 / :

Manning's "n"

n 0.015 :

Free board

FB 0.75 m * :

2. General Equations used

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Area y A y BW y Z * + (* :

Perimeter y P BW 2 y * 1 Z 2^+ sqrt * + :

Hydraulic radius y R y A y P / :

Velocity y V Q.d y A / :

Top width y T BW 2 Z * y * + :

Manning's Eqn y Vm 1 n / y R (23 /^* (S.0 sqrt * m 13 /^s / (* :

XYPlot.XLimMin 1 el 5 - :

XYPlot.XLimMax 1 el 4 :

XYPlot.YLimMin 1 el 5 - :

XYPlot.YLimMax 1 el 25 :

3. Find Normal Depth y₀ & Critical Depth y_c

It is advisable to plot variation of depth vs. Q to estimate the guess depth (y_g). We see that there

are two values as solutiins, ie. yy=-3.5m & yy=1.5 m approximately. Hence, take y_g = 1.5m.

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XYPlot.XTick 1 el 1 :

XYPlot.YTick 1 el 2.5 :

Hence, assume y.g 1.5 m * :

Guess depths yy 4 - 2 - 1 - 012 2.5 71 mat m * :

j 1 yy rows range QQ j el yy j el A yy j el Vm * : for

Q for guess depths QQ m 3^s / 14.35654 0 4.27523 - 0 3.89234 15.04652 23.88201 71 mat

X-Y Plot

yy QQ augment Q.d 2 1 sys

ZedGraph after reloading

yy QQ augment Q.d 2 1 sys