3. Example 2.11:

Try these first

1. 1.

   What is the formula for calculating tangent length?

   Hint

   Think about how radians are related to tangent.

2. 2.

   Define offset in the context of circular curves.

   Hint

   Consider the geometry of the circle.

3. 3.

   What is the total length of a circular curve if R = 200m and Δ = 60°?

   • 60.46 m
   • 69.81 m
   • 69.34 m

   Hint

   Think about units of angles in radians.

4. 4.

   True or False: A longer tangent length results in more gradual transitions in a circular curve.

   • True
   • False

   Hint

   Consider how sharper angles behave in curves.

5. 5.

   Given a radius of 75m for a curve and a deflection angle of 45 degrees, calculate both the tangent length and curve length. Then, if the chainage at PI is 1000 m, find the chainage at PC.

   Hint

   Remember to work through each part of the problem step by step.

6. 6.

   An engineer is setting up a curve with a given radius of 120 m. If the deflection angle changes to 60 degrees after adjustment, how does this affect the tangent length and necessary offset?

   Hint

   Focus on how directly altering angle affects curve properties.