A bridge 10-m wide is to be placed across a proposed  underpass. This underpass is designed to have a grade of -4%  and an ascending grade of +8%, where its vertex will be  located at 4+420 with an elevation of 140m. It is required  that the centerline of the bridge is exactly placed above the  vertex of the curve, its bottom elevation is 148.10m and it  should have a minimum vertical clearance of 6m under it.  a) Determine the length of the vertical parabolic curve.  b) Determine the location of the lowest point of the  curve.  c) Determine the elevation of the lowest point.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A bridge 10-m wide is to be placed across a proposed 
underpass. This underpass is designed to have a grade of -4% 
and an ascending grade of +8%, where its vertex will be 
located at 4+420 with an elevation of 140m. It is required 
that the centerline of the bridge is exactly placed above the 
vertex of the curve, its bottom elevation is 148.10m and it 
should have a minimum vertical clearance of 6m under it. 
a) Determine the length of the vertical parabolic curve. 
b) Determine the location of the lowest point of the 
curve. 
c) Determine the elevation of the lowest point. 
d) Determine the stationing and elevation of PC. 
e) Determine the stationing and elevation of PT. 

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