GATE CE 2019 Set 1 — Question 57
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Transportation Engineering → Horizontal & Vertical Alignment → Summit Curves
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Question
A parabolic vertical curve is being designed to join a road of grade with a road of grade . The length of the vertical curve is measured along the horizontal. The vertical point of curvature (VPC) is located on the road of grade . The difference in height between VPC and vertical point of intersection (VPI) (in m, round off to the nearest integer) is ________
Correct answer
10 to 10
Solution
In a symmetric parabolic vertical curve:
Length of curve,
Initial grade, Horizontal distance from VPC to VPI .The difference in height between VPC and VPI is calculated along the tangent of grade :Rounding to the nearest integer, the difference is .
1.The horizontal distance from the Vertical Point of Curvature (VPC) to the Vertical Point of Intersection (VPI) is half the total length of the curve ().
2.The VPI is the point where the two tangents (grades) intersect.
Given:Length of curve,
Initial grade, Horizontal distance from VPC to VPI .The difference in height between VPC and VPI is calculated along the tangent of grade :Rounding to the nearest integer, the difference is .
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