12.1. A reverse curve ACB

Try these first

1. 1.

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

   Hint

   Remember to think about the radius and the deflection angle.

2. 2.

   Calculate the chainage of the PC given an apex chainage of 1190 m and a tangent length of 97.48 m.

   Hint

   Subtract the tangent from the apex.

3. 3.

   What is the formula for calculating tangent length?

   • Length of Tangent = R * tan(Δ)
   • Length of Tangent = R * tan(Δ/2)
   • Length of Tangent = R^2 * Δ

   Hint

   Think about how tangent applies when dealing with curves.

4. 4.

   True or False: The length of the curve can be calculated using π.

   • True
   • False

   Hint

   Consider circle calculations and how they relate to curves.

5. 5.

   A reverse curve has an apex at a chainage of 1500 m and a deflection angle of 30°. If the radius is 100 m, what is the length of the tangent?

   Hint

   Break down the calculations step by step.

6. 6.

   Determine the offsets for lengths of chords measuring 10 m, 20 m, and 30 m for a radius of 50 m.

   Hint

   Use the offset formula iteratively for each chord length.