GATE CE 2026 Set 2 — Question 61
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Transportation Engineering → Cross-Section & Sight Distance → Stopping Sight Distance
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Question
A vertical curve is formed by a descending gradient of 1 in 40 meeting an ascending gradient of 1 in 50. Consider the following:Stopping Sight Distance (SSD) = 90 m
Height of headlight of a vehicle above the road surface = 0.75 m
Headlight beam angle with respect to the longitudinal axis of the vehicle = Based on the sight distance criteria, the design length (in m) of the vertical curve is __________ (rounded off to the nearest integer).
Height of headlight of a vehicle above the road surface = 0.75 m
Headlight beam angle with respect to the longitudinal axis of the vehicle = Based on the sight distance criteria, the design length (in m) of the vertical curve is __________ (rounded off to the nearest integer).
Correct answer
60 to 67
Solution
1.Calculate the total change in grade ():
2.Given parameters:
m (Stopping Sight Distance)m (Headlight height)
(Beam angle)
3.Assume and calculate length ():
m
4.Since , the assumption is false. Now use the formula for :
m5.Rounding to the nearest integer, we get 63 m.
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