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(35 pts) A highway embankment with a culvert must cross a stream downstream of a pond...

(35 pts) A highway embankment with a culvert must cross a stream downstream of a pond that has a sluice gate. The slope of the channel = 0.0175 ft/ft and the discharge being released from the pond 289.3 cfs that must pass through the culvert. The culvert size is a 48-in Reinforced Concrete pipe that is 75 ft long. The channel is rectangular that is 10 ft wide with a Manning’s n = 0.025 and the channel runs for a long distance. How far downstream of the gate must the embankment be placed so as not to affect the discharge through the gate (i.e. not drown the gate with backwater)?

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