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.
Answer is given below with diagram:
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