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A-1.7% grade intersects a 3.6% grade on a highway with a design speed of 55 mph. What is the length of the curve in ft required? (Assume provisions are to be made for minimum stopping sight distance).

A-1.7% grade intersects a 3.6% grade on a highway with a design speed of 55 mph. What is the length of the curve in ft required? (Assume provisions are to be made for minimum stopping sight distance).

Traffic and Highway Engineering
Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter14: Highway Surveys And Location
Section: Chapter Questions
Problem 17P: The following table shows the stations and ordinates for a mass diagram. The free-haul distance is...
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### Curve Length Calculation for Highway Engineering **Problem Statement:** A -1.7% grade intersects a 3.6% grade on a highway with a design speed of 55 mph. What is the length of the curve in feet required? (Assume provisions are to be made for minimum stopping sight distance). --- **Solution Steps:** 1. **Determine the grades and their algebraic difference:** - Initial grade (G1) = -1.7% - Final grade (G2) = 3.6% - Algebraic difference (A) = |G2 - G1| = |3.6 - (-1.7)| = 5.3% 2. **Design Speed (V):** - Design speed (V) = 55 mph 3. **Calculate Stopping Sight Distance (SSD):** - For highway design, the stopping sight distance can be determined using standard equations provided in design manuals, such as the AASHTO Green Book, which may use parameters like perception-reaction time, braking distance, etc. For this example, let's assume we use a standard SSD for 55 mph. 4. **Use vertical curve length formulas:** - The required formula and methodologies might follow guidelines found in highway engineering texts or manuals. By inputting the above parameters into the formulas, you would be able to derive the value for the length of the curve. For the actual calculations, referring to standardized engineering resources and texts specific to highway design will be crucial. --- **Diagram:** _There is no diagram included in the question._ **Note:** Please refer to specific highway design standards and manuals for precise calculations, methodologies, and safety requirements.
Transcribed Image Text:### Curve Length Calculation for Highway Engineering **Problem Statement:** A -1.7% grade intersects a 3.6% grade on a highway with a design speed of 55 mph. What is the length of the curve in feet required? (Assume provisions are to be made for minimum stopping sight distance). --- **Solution Steps:** 1. **Determine the grades and their algebraic difference:** - Initial grade (G1) = -1.7% - Final grade (G2) = 3.6% - Algebraic difference (A) = |G2 - G1| = |3.6 - (-1.7)| = 5.3% 2. **Design Speed (V):** - Design speed (V) = 55 mph 3. **Calculate Stopping Sight Distance (SSD):** - For highway design, the stopping sight distance can be determined using standard equations provided in design manuals, such as the AASHTO Green Book, which may use parameters like perception-reaction time, braking distance, etc. For this example, let's assume we use a standard SSD for 55 mph. 4. **Use vertical curve length formulas:** - The required formula and methodologies might follow guidelines found in highway engineering texts or manuals. By inputting the above parameters into the formulas, you would be able to derive the value for the length of the curve. For the actual calculations, referring to standardized engineering resources and texts specific to highway design will be crucial. --- **Diagram:** _There is no diagram included in the question._ **Note:** Please refer to specific highway design standards and manuals for precise calculations, methodologies, and safety requirements.
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