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Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Problem Statement: Road Grade Calculation** A 3% grade on a principal arterial road intersects with a -2% grade at station 355+54.5 at an elevation of 323 ft. If the design speed of the road is 60 mi/hr, determine the stations and elevations of the BVC (Beginning of Vertical Curve, same as PVC) and EVC (End of Vertical Curve, same as PVT), as well as the station and elevation of the high point. --- **Explanation:** This problem requires the determination of specific points along a vertical curve where two different grades intersect. Additionally, the problem asks for the elevation at the intersection and the highest point on the curve, given the design speed of the road. ### Key Definitions: 1. **BVC (PVC)**: Beginning of Vertical Curve, also known as the Point of Vertical Curvature. 2. **EVC (PVT)**: End of Vertical Curve, also known as the Point of Vertical Tangent. ### Given Data: - **Grade 1**: 3% - **Grade 2**: -2% - **Station**: 355+54.5 - **Elevation**: 323 ft - **Design Speed**: 60 mi/hr ### Steps to Solve: 1. **Calculate the Length of Vertical Curve (L)** using the design speed or other relevant parameters. 2. **Determine BVC (PVC) and EVC (PVT)** stations and elevations using the given grade intersection points and the calculated curve length. 3. **Find the High Point** station and elevation along the vertical curve. #### Diagrams: No diagrams are provided, but if there were, they would depict the intersection of the two grades, the vertical curve, and the relevant stations (BVC, EVC, and the high point). This process involves applying fundamental principles of highway engineering and vertical curve calculations, typically covered in civil engineering courses on transportation and road design.
Transcribed Image Text:**Problem Statement: Road Grade Calculation** A 3% grade on a principal arterial road intersects with a -2% grade at station 355+54.5 at an elevation of 323 ft. If the design speed of the road is 60 mi/hr, determine the stations and elevations of the BVC (Beginning of Vertical Curve, same as PVC) and EVC (End of Vertical Curve, same as PVT), as well as the station and elevation of the high point. --- **Explanation:** This problem requires the determination of specific points along a vertical curve where two different grades intersect. Additionally, the problem asks for the elevation at the intersection and the highest point on the curve, given the design speed of the road. ### Key Definitions: 1. **BVC (PVC)**: Beginning of Vertical Curve, also known as the Point of Vertical Curvature. 2. **EVC (PVT)**: End of Vertical Curve, also known as the Point of Vertical Tangent. ### Given Data: - **Grade 1**: 3% - **Grade 2**: -2% - **Station**: 355+54.5 - **Elevation**: 323 ft - **Design Speed**: 60 mi/hr ### Steps to Solve: 1. **Calculate the Length of Vertical Curve (L)** using the design speed or other relevant parameters. 2. **Determine BVC (PVC) and EVC (PVT)** stations and elevations using the given grade intersection points and the calculated curve length. 3. **Find the High Point** station and elevation along the vertical curve. #### Diagrams: No diagrams are provided, but if there were, they would depict the intersection of the two grades, the vertical curve, and the relevant stations (BVC, EVC, and the high point). This process involves applying fundamental principles of highway engineering and vertical curve calculations, typically covered in civil engineering courses on transportation and road design.
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