an equal tangent vertical curve, a2% grade on an arterial highway intersects with a -1% grade station at 535+24.25
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A -3% grade meets a +5% grade near an underpass. In order to maintain the minimum clearance allowed under the bridge and at the same time introduce a vertical transition curve in the grade line, it is necessary to use a curve that lies 200m on the left side of the vertex of the straight grade and 100m on the other. The station of the beginning of the curve is 10+000 and its elevation is 228m. Determine the elevation at station 10+040. If the uphill edge of the underside of the bridge is at station 10+220 and at elevation 229.206m, what is the vertical clearance under the bridge at this point? Determine the stationing of the lowest point of the curve.
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Problem 5 (20 points): A 400 m vertical curve connects a -2.00% grade to a +4.00% grade. The PVI is located at station 150+00 and elevation 60.00 m above sea level. A pipe is to be located at the low point on the vertical curve. The roadway at this point consists of two 3.6 m lanes with a normal crown slope of 2%. If the lowest point on the surface of the roadway must clear the pipe by 0.75 m, what is the station and maximum elevation of the pipe?
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