Point “P” is the location of the center line of an existing highway. An underpass is to be designed perpendicular to the existing highway with a vertical parabolic curve such that its lowest point is directly below point “P” with a vertical clearance of 5.5 meters. Stationing of the point of intersection is 5+800 and has an elevation of 105 meters. The slope of the tangent passing thru the Pc is - 4% and that of the PT is 3%. With illustrations. a) Determine the length of the curve. b) Determine the stationing of the point “P” on the right side of the curve if it has an elevation of 120 meters. c) Determine the elevation of the PT of the curve.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Point “P” is the location of the center line of an existing
highway. An underpass is to be designed perpendicular
to the existing highway with a vertical parabolic curve
such that its lowest point is directly below point “P” with
a vertical clearance of 5.5 meters. Stationing of the point of intersection is 5+800 and has an elevation of 105
meters. The slope of the tangent passing thru the Pc is -
4% and that of the PT is 3%.

With illustrations.
a) Determine the length of the curve.
b) Determine the stationing of the point “P” on the
right side of the curve if it has an elevation of 120
meters.
c) Determine the elevation of the PT of the curve.

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