GATE CE 2022 Set 2 — Question 62
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Transportation Engineering → Cross-Section & Sight Distance → Stopping Sight Distance
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Question
A parabolic vertical crest curve connects two road segments with grades and . If a stopping sight distance is needed for a driver at a height of to avoid an obstacle of height , then the minimum curve length should be ______ m. (round off to the nearest integer)
Correct answer
270 to 275
Solution
1.Given Data:
- Grades: ,
- Deviation angle:
- Stopping Sight Distance ():
- Driver eye height ():
- Obstacle height ():
The formula for the length of a crest vertical curve based on sight distance is:Substituting the values:
3.Check Assumption:
Since is greater than , the assumption is correct.Rounding to the nearest integer, the minimum curve length is . The official range is to .
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