A parabolic vertical curve is to connect a –2.2% gradient to a +1.9% gradient... - 2.70 | 2. Exercises for Practice | Surveying and Geomatics
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2.70 - A parabolic vertical curve is to connect a –2.2% gradient to a +1.9% gradient...

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Interactive Audio Lesson

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Understanding Vertical Curves

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0:00
Teacher
Teacher

Today we're going to discuss vertical curves and why they're vital in road design. Can anyone tell me what a vertical curve is?

Student 1
Student 1

Is it the smooth transition between different gradients on a road?

Teacher
Teacher

Exactly! Vertical curves help vehicles change elevation more smoothly. Now, which gradients are we connecting in our example?

Student 2
Student 2

We're connecting a -2.2% gradient to a +1.9% gradient.

Calculating Vertical Curve Length

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0:00
Teacher
Teacher

Now, let's delve into how to calculate the length of a vertical curve. What factors do we need to consider?

Student 3
Student 3

We need to consider the design speed and the gradients!

Teacher
Teacher

Correct! The design speed here is 85 km/h. For our specific gradients, the required length of the vertical curve is determined by design standards. What was our calculated curve length?

Student 4
Student 4

It's 14.282 m.

Teacher
Teacher

Great job! That length ensures safe visibility and comfort for drivers.

The Importance of Vertical Curves

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0:00
Teacher
Teacher

Let's wrap up by discussing the broader implications of using vertical curves. Why do you think they are critical in design?

Student 1
Student 1

They help maintain a safe line of sight for drivers.

Student 2
Student 2

And they provide a more comfortable driving experience!

Teacher
Teacher

Exactly! The role of vertical curves in road safety cannot be overstated. They allow drivers to see ahead and make informed driving choices.

Introduction & Overview

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Quick Overview

This section focuses on calculating the necessary length of a parabolic vertical curve that connects specific gradients.

Standard

It elaborates on the design standards for vertical curves connecting a –2.2% gradient to a +1.9% gradient on roads, emphasizing key calculations based on a design speed of 85 km/h.

Detailed

In this section, we discuss the design of a parabolic vertical curve connecting a -2.2% gradient to a +1.9% gradient for a road designed for a speed of 85 km/h. Vertical curves are essential in highway design as they influence the driver's line of sight and comfort. The required length of the curve is determined using design standards that consider the gradients involved and the design speed of the road, ultimately allowing for safe and efficient vehicle movement. For this specific case, the calculated minimum length of the curve is 14.282 m.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Vertical Curve: A design feature that allows gradual transitions between gradients.

  • Gradient: The steeper or gentler incline represented as a percentage.

  • Design Speed: Speed for which the roadway is designed to ensure safety.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • If a road transitions from a -2.2% gradient to a +1.9% gradient, a vertical curve is necessary for smooth elevation change.

  • Implementing a vertical curve will enable drivers to maintain visibility around bends.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • Curves go round, make hills less steep, drive with comfort, feel safe and neat.

📖 Fascinating Stories

  • Imagine a car approaching a hill. Just before it climbs, the road gently rises, helping the driver see the view ahead, ensuring comfort on the rise.

🧠 Other Memory Gems

  • GVD - Gradient, Visibility, Design speed - the key aspects of designing vertical curves.

🎯 Super Acronyms

CURVE - Connect Underlying gradients, Reduce vehicle discomfort, Visibility enhancement.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Vertical Curve

    Definition:

    A section of roadway that connects two different gradients, allowing for a smooth transition in elevation.

  • Term: Gradient

    Definition:

    The slope or steepness of the road, expressed as a percentage.

  • Term: Design Speed

    Definition:

    The maximum speed at which a road is designed to be safe for the majority of vehicles.