1.3.1. By radial offsets

Try these first

1. 1.

   Define what an offset is in the context of circular curves.

   Hint

   Think about how we measure points in relation to lines.

2. 2.

   What is the purpose of using ordinates from the long chord?

   Hint

   Recall the method discussed regarding dividing lengths.

3. 3.

   What is the primary purpose of radial offsets in setting out curves?

   • A) To calculate the length of a tangent
   • B) To ensure accuracy in curve placement
   • C) To establish the radius of a circle

   Hint

   Think about how we measure distances to establish points.

4. 4.

   True or False: The Versine method only involves straight line measurements.

   • True
   • False

   Hint

   Recall the steps taken in the Versine approach.

5. 5.

   You are tasked with setting out a circular curve with a radius of 15m. If your first tangent point is 5m away from the beginning of your curve, calculate the offsets for each meter along the chord up to 10m. Show your computations.

   Hint

   Consider what happens as x increases—how do the offsets behave?

6. 6.

   Using the Versine method, explain in detail the steps needed to set out a curve on uneven terrain where ground measurements vary in difficulty.

   Hint

   Focus on the importance of reliability of offset calculations in relation to terrain.