For a road construction, it is decided to connect a forward tangent of 3% and a back tangent of -5% by a 200m symmetrical parabolic curve. It was discovered that the grade intersection at station 10+100 whose elevation is 100m falls on a rocky section with an outcrop of 2.67m. directly above the grade intersection. To avoid rock excavation, it was agreed to adjust the vertical parabolic curve in such a way that the curve will just clear the rock without altering the position of PC and the grade of the tangents. Determine the total length of the new parabolic curve.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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For a road construction, it is decided to connect a forward tangent of 3% and a back tangent of -5% by a 200m symmetrical parabolic curve. It was discovered that the grade intersection at station 10+100 whose elevation is 100m falls on a rocky section with an outcrop of 2.67m. directly above the grade intersection. To avoid rock excavation, it was agreed to adjust the vertical parabolic curve in such a way that the curve will just clear the rock without altering the position of PC and the grade of the tangents. Determine the total length of the new parabolic curve. 

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