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The spread on a proposed road paved with smooth asphalt and having a 1.0-percent longitudinal slope is limited by local regulations to 3.0 m for

The spread on a proposed road paved with smooth asphalt and having a 1.0-percent longitudinal slope is limited by local regulations to 3.0 m for the sake of automobile safety. The road cross-slope is 2.5%. 

a) What is the maximum allowable discharge on the road if the gutter section is uniform? What is the depth of the flow measured at the curb for this rate of discharge? 

b) An alternative design proposes the addition of a gutter depression with a width of 1.5 meters and a gutter cross-slope of 4.0%. What is the maximum allowable discharge in the gutter under these conditions? What is the depth of the flow at this rate of discharge? 

c) Does the addition of the gutter depression increase or decrease the capacity of the gutter? Why?

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