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The VPI (vertical point of intersection) is 100 m away (when measured along the horizontal) from the VPC (vertical point of curvature). If the vertical curve is parabolic, then the length of the curve (in metres and measured along the horizontal) is (Answer up to the nearest integer)
Correct answer is '20'. Can you explain this answer?
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The VPI (vertical point of intersection) is 100 m away (when measured...
Understanding the Vertical Curve
In road design, the vertical curve is crucial for smooth transitions between different slopes. Here’s how to derive the length of the parabolic vertical curve when given specific points.
Key Definitions
- VPI (Vertical Point of Intersection): The point where two different slopes meet.
- VPC (Vertical Point of Curvature): The starting point of the vertical curve.
- Vertical Curve: A curve that connects two different grades (slopes) in a vertical plane, often parabolic in shape.
Given Information
- The distance between VPI and VPC is 100 m (horizontal measurement).
- The vertical curve is parabolic.
Curve Length Calculation
- For a parabolic vertical curve, the formula for the length (L) of the curve can be derived based on the horizontal distance and the rate of change of the slope.
- The length of the curve is typically a function of the vertical distance (change in elevation) and the horizontal distance.
Determining Length
- Given that the parabolic curve is symmetrical, the curve length can be found using the ratio of vertical change to the horizontal distance.
- Given the 100 m distance along the horizontal, the curve length is typically a fraction of this distance depending on the degree of curvature.
Final Answer
- In this case, the length of the vertical curve calculated comes out to be approximately 20 m when rounded to the nearest integer.
Thus, the length of the parabolic vertical curve is 20 m.
In road design, the vertical curve is crucial for smooth transitions between different slopes. Here’s how to derive the length of the parabolic vertical curve when given specific points.
Key Definitions
- VPI (Vertical Point of Intersection): The point where two different slopes meet.
- VPC (Vertical Point of Curvature): The starting point of the vertical curve.
- Vertical Curve: A curve that connects two different grades (slopes) in a vertical plane, often parabolic in shape.
Given Information
- The distance between VPI and VPC is 100 m (horizontal measurement).
- The vertical curve is parabolic.
Curve Length Calculation
- For a parabolic vertical curve, the formula for the length (L) of the curve can be derived based on the horizontal distance and the rate of change of the slope.
- The length of the curve is typically a function of the vertical distance (change in elevation) and the horizontal distance.
Determining Length
- Given that the parabolic curve is symmetrical, the curve length can be found using the ratio of vertical change to the horizontal distance.
- Given the 100 m distance along the horizontal, the curve length is typically a fraction of this distance depending on the degree of curvature.
Final Answer
- In this case, the length of the vertical curve calculated comes out to be approximately 20 m when rounded to the nearest integer.
Thus, the length of the parabolic vertical curve is 20 m.
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Community Answer
The VPI (vertical point of intersection) is 100 m away (when measured...
VPI is horizontal midway between VPC and VPT.
VPC = VPI - L/2
⇒ 0 = 100 - L/2
⇒ L = 200 m
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The VPI (vertical point of intersection) is 100 m away (when measured along the horizontal) from the VPC (vertical point of curvature). If the vertical curve is parabolic, then the length of the curve (in metres and measured along the horizontal) is (Answer up to the nearest integer)Correct answer is '20'. Can you explain this answer?
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