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A 3.0% grade passing at station 20+00.00 at an elevation of 99.10 m meets a -2.0%...

A 3.0% grade passing at station 20+00.00 at an elevation of 99.10 m meets a -2.0% grade passing at station 20+50.00 at an elevation of 99.60 m. Please note that these two elevations and stations DO NOT correspond to BVC and EVC.

a) Determine the station and elevation of the point of intersection of the two grades.

b) If the highest point on the curve must lie at station 20+55.00, find the elevation of this point and the length of the curve that meets these conditions.

c) Calculate the station and elevation of the beginning of the vertical curve (BVC), and its end (EVC)

d) Layout this curve at 100 m stations.

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