4.9. Example 2.9

Try these first

1. 1.

   What does the term 'radius' refer to in the context of circular curves?

   Hint

   Think about circles and where the distance is measured from.

2. 2.

   Define deflection angle.

   Hint

   Consider how sharp a turn might be in a road.

3. 3.

   What is the formula for calculating the tangent length of a circular curve?

   • T = R * sin(Δ/2)
   • T = R * tan(Δ/2)
   • T = R * cos(Δ/2)

   Hint

   Think about the geometric relationship of a circle.

4. 4.

   True or False: A larger radius results in a sharper curve.

   • True
   • False

   Hint

   Consider how cars behave on different kinds of turns.

5. 5.

   Calculate the length of a curve with a radius of 150 m and a deflection angle of 30°. Explain each step.

   Hint

   Make sure to convert degrees to radians!

6. 6.

   You have a curve with a known tangent length of 80 m. If the deflection angle is 45°, find the radius and connect this to vehicle dynamics.

   Hint

   Think about how this radius relates to vehicle speed.