### 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 mph3. **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.

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).

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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Concept explainers

Curve setting

A curve is a turn that is provided horizontally or vertically in the design of highways, railways, and runways. A curve connects two straight lines that are separated by the deflection angle. It helps to change the direction and alignment of the highways, railway tracks, and runways. Therefore, the gradual change in their alignment is made by using a curve to provide comfort to the passengers and this also provides an easy turn to change the direction of the moving vehicle.

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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.

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