Answered: g1= Station 18+26 18+00 17+00 16+00…

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 7P

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$This diagram represents a profile view of a vertical curve commonly used in road design. 1. **Grades (Slopes):** - $ g_1 = 2\% $: The grade before the curve is a positive 2%. - $ g_2 = -1\% $: The grade after the curve is a negative 1%. 2. **Curve Description:** - **BVC (Beginning of Vertical Curve)**: The starting point of the curve is located at station 15+68. - **Elevation at BVC**: The elevation of the BVC is 899.02 feet. 3. **EVC (End of Vertical Curve):** - The ending point of the curve is at station 18+26. This type of diagram is essential in civil engineering for designing roads and highways, ensuring smooth transitions between different grades for safety and comfort.$

Transcribed Image Text:This diagram represents a profile view of a vertical curve commonly used in road design. 1. **Grades (Slopes):** - $ g_1 = 2\% $: The grade before the curve is a positive 2%. - $ g_2 = -1\% $: The grade after the curve is a negative 1%. 2. **Curve Description:** - **BVC (Beginning of Vertical Curve)**: The starting point of the curve is located at station 15+68. - **Elevation at BVC**: The elevation of the BVC is 899.02 feet. 3. **EVC (End of Vertical Curve):** - The ending point of the curve is at station 18+26. This type of diagram is essential in civil engineering for designing roads and highways, ensuring smooth transitions between different grades for safety and comfort.

$Below is the transcription of the table displayed in the image, intended for an educational website: --- ### Curve Elevation Calculation Table **Parameters:** - $ g1 = \_\_\_\_\_\_\_\_\_\_ $ - $ g2 = \_\_\_\_\_\_\_\_\_\_ $ - Elevation of BVC = \_\_\_\_\_\_\_\_\_\_ | Station | $ x $ | $ g1 \times x $ | $ \frac{g2 - g1}{2L} x^2 $ | Elevation | |---------|---------|---------------|------------------------------|-----------| | 18+26 | | | | | | 18+00 | | | | | | 17+00 | | | | | | 16+00 | | | | | | 15+68 | 0 | - | - | 899.02 | **Explanation:** - **Station**: Represents the position along the curve. - **$ x $**: The distance from the beginning of the curve. - **$ g1 \times x $**: The product of $ g1 $ and distance $ x $. - **$ \frac{g2 - g1}{2L} x^2 $**: A formula used to adjust the elevation based on the curve's geometry. - **Elevation**: The calculated elevation at each station. The table helps in determining the elevation profile along a vertical curve in civil engineering and highway design projects. Fill in the missing values for accurate analysis.$

Transcribed Image Text:Below is the transcription of the table displayed in the image, intended for an educational website: --- ### Curve Elevation Calculation Table **Parameters:** - $ g1 = \_\_\_\_\_\_\_\_\_\_ $ - $ g2 = \_\_\_\_\_\_\_\_\_\_ $ - Elevation of BVC = \_\_\_\_\_\_\_\_\_\_ | Station | $ x $ | $ g1 \times x $ | $ \frac{g2 - g1}{2L} x^2 $ | Elevation | |---------|---------|---------------|------------------------------|-----------| | 18+26 | | | | | | 18+00 | | | | | | 17+00 | | | | | | 16+00 | | | | | | 15+68 | 0 | - | - | 899.02 | **Explanation:** - **Station**: Represents the position along the curve. - **$ x $**: The distance from the beginning of the curve. - **$ g1 \times x $**: The product of $ g1 $ and distance $ x $. - **$ \frac{g2 - g1}{2L} x^2 $**: A formula used to adjust the elevation based on the curve's geometry. - **Elevation**: The calculated elevation at each station. The table helps in determining the elevation profile along a vertical curve in civil engineering and highway design projects. Fill in the missing values for accurate analysis.

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Vertical Curve :

Vertical curves, which may or may not be symmetrical, are supplied to alter the slope of the road. Unlike horizontal curves, which are circular, they are parabolic. The main design criteria for a vertical curve are determining the appropriate grade and the safe passing sight distance. In a crest vertical curve, the length should be sufficient to provide a safe stopping sight distance, while in a sag vertical curve, the length is crucial because it affects variables like headlight sight distance, rider comfort, and drainage needs.

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