Question 9 Given a crest vertical curve of length 725, with a PVC at elevation 1,597, connecting a grade 1.5% to a grade -0.5%, what is the elevation of the PVI?
Question 9 Given a crest vertical curve of length 725, with a PVC at elevation 1,597, connecting a grade 1.5% to a grade -0.5%, what is the elevation of the PVI?
Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter15: Geometric Design Of Highway Facilities
Section: Chapter Questions
Problem 19P
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![**Question 9**
*Given a crest vertical curve of length 725, with a PVC at elevation 1,597, connecting a grade 1.5% to a grade -0.5%, what is the elevation of the PVI?*
[Text box for answer input]
Note: In transportation engineering, a crest vertical curve is used to connect two road grades in a manner that provides a smooth transition. The Point of Vertical Curve (PVC) represents the beginning of the curve, and the Point of Vertical Intersection (PVI) is the point where the two tangent grades intersect.
To solve this problem, you would typically use the formula for calculating the elevation of the PVI on a vertical curve:
\[ \text{Elevation at PVI} = \text{Elevation at PVC} + \left(\frac{\text{Initial grade} + \text{Final grade}}{2}\right) \times \text{Length of curve} \]
Given data:
- Length of vertical curve (L) = 725
- Elevation of PVC = 1597
- Initial grade (g1) = 1.5%
- Final grade (g2) = -0.5%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2d7e9b1-7208-47e7-acf1-5a4d04c3ff3b%2Ffe05c94d-d5a1-4f77-932c-35f38f2590f5%2F74pm4ac_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 9**
*Given a crest vertical curve of length 725, with a PVC at elevation 1,597, connecting a grade 1.5% to a grade -0.5%, what is the elevation of the PVI?*
[Text box for answer input]
Note: In transportation engineering, a crest vertical curve is used to connect two road grades in a manner that provides a smooth transition. The Point of Vertical Curve (PVC) represents the beginning of the curve, and the Point of Vertical Intersection (PVI) is the point where the two tangent grades intersect.
To solve this problem, you would typically use the formula for calculating the elevation of the PVI on a vertical curve:
\[ \text{Elevation at PVI} = \text{Elevation at PVC} + \left(\frac{\text{Initial grade} + \text{Final grade}}{2}\right) \times \text{Length of curve} \]
Given data:
- Length of vertical curve (L) = 725
- Elevation of PVC = 1597
- Initial grade (g1) = 1.5%
- Final grade (g2) = -0.5%
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