GATE CE 2023 Set 1 — Question 21
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Geomatics Engineering → Curves → Vertical Alignment
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Question
and are the slopes of the approach and departure grades of a vertical curve, respectively.Given and
Statement 1: followed by results in a sag vertical curve.
Statement 2: followed by results in a sag vertical curve.
Statement 3: followed by results in a crest vertical curve.Which option amongst the following is true?
Statement 1: followed by results in a sag vertical curve.
Statement 2: followed by results in a sag vertical curve.
Statement 3: followed by results in a crest vertical curve.Which option amongst the following is true?
Correct answer
(A) Statement 1 and Statement 3 are correct; Statement 2 is wrong
Solution
The type of vertical curve is determined by the algebraic difference in grades . If , it is a sag curve; if , it is a crest curve.
Given :
Given :
1.Statement 1: followed by . Since both are positive and , then . . This is a sag curve. (Correct)
2.Statement 2: followed by . Here and are negative. Since , is more negative than (e.g., ). . This is a crest curve. (Statement 2 is wrong)
3.Statement 3: followed by . . This is a crest curve. (Correct)
Therefore, Statements 1 and 3 are correct, and Statement 2 is wrong.Continue learning with Success Tracker
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