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Avg. Slope 2.7X <br />Design Capacity 1.32 cfs <br />Design Velocity 3.15 f/sec. max. <br />Freeboard 0.30 feet min. <br />Manning's n 0.040 earth channel <br />Manning's Equation for Open Channel Flow <br />y , 1.4902/3 S1/2 <br />n <br />R , r Vn l = ~{3.75)(.04) <br />1.49 S1/2 1.49 .027 <br />• R - 0.6127. - estimated maximum hydrologic radius to achieve design <br />velocity. However since the actual hydraulic radius is 0.250, R = 0.4796. <br />A = Q/V = 3.75 cfs 0.3520 ft.2 <br />Solve for channel size <br />A ~ Zd2 <br />A = (1.0)(1.0)2 <br />A = 1.0 ft. <br />R , Zd <br />2 +1 <br />R <br />2,/ 1`+1 <br />R ~ 0.250 <br />V = 140 {0.250)2/3 (0.21)1/2 <br />V = 2.43 f/sec which is less than 3.75 f/sec so design ok. <br />• Q = AV = (1.0 ft) (2.43 f/s) <br />Q 2.43 cfs which is greater than 1.32 cfs, so ok. <br />