16.1. Length of vertical curve

Try these first

1. 1.

   Calculate the length of a vertical curve with a +2% and -1% grade and a rate of change of 1% per 30m.

   Hint

   Use the formula L = (g1 - g2) * 30 / r.

2. 2.

   What is the reduced level (RL) if the chainage is 1000m and the height above datum is 50 m?

   Hint

   Simply state the height as the RL.

3. 3.

   What is a vertical curve?

   Hint

   Consider the context of road design.

4. 4.

   The formula to calculate the length of a vertical curve L = (g1 - g2) * 30 / r is used when calculating changes in:

   • Elevation
   • Grade
   • Road Width

   Hint

   Think about what the formula represents physically.

5. 5.

   Design and calculate a vertical curve connecting a +3% grade to a -1% grade with a desired smooth transition over 150 meters. What will the chainage of each key point look like?

   Hint

   Consider how to break down the changes into smaller segments.

6. 6.

   How would you approach calculating vertical curves on a multi-lane highway versus a single-lane road? Discuss factors you'd consider.

   Hint

   Think about vehicle dynamics and traffic flow.