2.45. Derive the relationship between the several elements of the reverse curve.

Try these first

1. 1.

   Define a reverse curve.

   Hint

   Consider the definitions of curves and their connections.

2. 2.

   What is the deflection angle in a reverse curve?

   Hint

   Think about how angles interact with lines in a geometric shape.

3. 3.

   What describes a reverse curve?

   • Two curves diverging into straights
   • Two curves in the same direction
   • Two curves that change direction

   Hint

   Think about how the curves relate to straight roads.

4. 4.

   True or False: The deflection angle is crucial for safety in reverse curves.

   • True
   • False

   Hint

   Recall our discussions on safety measures in road design.

5. 5.

   Design a reverse curve for a highway segment connecting two lines. The first has a radius of 900m, and the second radius should allow for a smooth transition given a deflection angle of 45°. Calculate the required parameters.

   Hint

   Apply trigonometric functions and verify your design against safety standards.

6. 6.

   A reverse curve connects two roads with an initial radius of 500m and an ending radius of 300m. How would you calculate the external distance and length of the curve?

   Hint

   Use the relationships we've defined about tangential distances and arc lengths.