An 8-ft-wide rectangular channel is crossed by a highway embankment which is traversed by a 36 in corrugated metal pipe (CMP) 75 ft long. The channel runs on a slope of 0.001 ft/ft with a roughness...

An 8-ft-wide rectangular channel is crossed by a highway embankment which is traversed by a 36 in corrugated metal pipe (CMP) 75 ft long. The channel runs on a slope of 0.001 ft/ft with a roughness coefficient of0.035 and runs on for a long distance downstream of the embankment with no other obstructions. For a design discharge of 100 cfs,

a. What will be the design head on the culvert, assuming a flush entrance?

b. How far upstream will the effects of the culvert extend?