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Vertical Curve Problem


 


 


Given:   Two tangents to a roadway profile intersect at an elevation of 100.  The first tangent is at a 2% uphill grade and the second tangent is a -5% downhill grade. Calculate the equation of
a 200 ft parabolic curve connecting the two tangents and the elevation at the
mid point of the curve. Let the “x” origin be at the beginning of the curve.


 

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Replies to This Discussion

The equation of the tangent lines are y = -0.05x + 105 and y = 0.02x + 98 but I'm not sure where to go from there.

Idea! since each tangent intersects the parabola once, a system of equations may be set up to find a, b, and c in the quadratic equation. I'll have to try that.

Anne Donovan said:
The equation of the tangent lines are y = -0.05x + 105 and y = 0.02x + 98 but I'm not sure where to go from there.

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