If a vertical curve's incoming grade (g₁) is -5%, the outgoing grade (g₂) is 5%, the station at the Point of Vertical Intersection (PVI) is 25+00 with an elevation of 450 feet, and the vertical curve length (L) is 3000 feet, what is the elevation at the Point of Vertical Tangency (PVT)? 525 feet 300 feet 450 feet 375 feet

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Problem Statement:

If a vertical curve’s incoming grade (\( g_1 \)) is -5%, the outgoing grade (\( g_2 \)) is 5%, the station at the Point of Vertical Intersection (PVI) is 25+00 with an elevation of 450 feet, and the vertical curve length (L) is 3000 feet, what is the elevation at the Point of Vertical Tangency (PVT)?

### Multiple Choice Options:

- \( \text{ } \) 525 feet
- \( \text{ } \) 300 feet
- \( \text{○} \) 450 feet
- \( \text{ } \) 375 feet

### Explanation:

This is a problem related to vertical curves in civil engineering, particularly for designing roadways or railways. It uses key parameters such as grades and elevations to determine the curvature path. 

To calculate the elevation at the Point of Vertical Tangency (PVT), you need to consider the geometry of the curve and apply appropriate formulas, considering the given grades and lengths.
Transcribed Image Text:### Problem Statement: If a vertical curve’s incoming grade (\( g_1 \)) is -5%, the outgoing grade (\( g_2 \)) is 5%, the station at the Point of Vertical Intersection (PVI) is 25+00 with an elevation of 450 feet, and the vertical curve length (L) is 3000 feet, what is the elevation at the Point of Vertical Tangency (PVT)? ### Multiple Choice Options: - \( \text{ } \) 525 feet - \( \text{ } \) 300 feet - \( \text{○} \) 450 feet - \( \text{ } \) 375 feet ### Explanation: This is a problem related to vertical curves in civil engineering, particularly for designing roadways or railways. It uses key parameters such as grades and elevations to determine the curvature path. To calculate the elevation at the Point of Vertical Tangency (PVT), you need to consider the geometry of the curve and apply appropriate formulas, considering the given grades and lengths.
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