When an ascending gradient of a highway meets a descending gradient, the vertical curve provided at the junction is classified as which type?
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AValley curve
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BSag curve
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CSummit curve
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DAll the above
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E
Answer
Correct Answer: Summit curve
Explanation
Introduction / Context:Vertical curves connect differing longitudinal grades to provide comfort, adequate sight distance, and drainage. Their classification depends on whether the curve opens upward or downward.
Given Data / Assumptions:
- An up-grade meets a down-grade.
- No special constraints beyond standard geometric design considerations.
Concept / Approach:When an ascending grade meets a descending grade, the curve opens upward, forming a crest—known as a summit curve. Conversely, a sag or valley curve opens downward where two descents/ascents create a low point.
Step-by-Step Solution:
Classify by curvature orientation: upward opening → summit.Confirm that eye-height and object-height rules for crest sight distance govern design.Verification / Alternative check:Graphing grade lines shows a crest at the junction, reinforcing the summit classification.
Why Other Options Are Wrong:Valley and sag refer to downward-opening curves at low points; option (d) cannot be correct as types are mutually exclusive for a given junction.
Common Pitfalls:Confusing the naming between crest (summit) and sag curves; overlooking which sight distance criterion applies.
Final Answer:Summit curve