2.54. Two straights, which deflect through an angle of 60°, are to be connected by a circular curve of radius 80 m...

Try these first

1. 1.

   What is a deflection angle?

   Hint

   Think about how two paths diverge.

2. 2.

   Define 'offset' in the context of circular curves.

   Hint

   Consider how you would measure from a straight line to a curve.

3. 3.

   What does the deflection angle represent in curve design?

   • A straight line measurement
   • The angle between two tangents
   • The radius of the curve

   Hint

   Think about how paths transition geometrically.

4. 4.

   True or False: The midpoint of a curve is the same as the beginning of the tangent.

   • True
   • False

   Hint

   Visualization of curves will help clarify this.

5. 5.

   Given a deflection angle of 75° and a curve radius of 100 m, calculate the tangent lengths and offsets required to set out the curve.

   Hint

   Employ trigonometric relationships to derive the details.

6. 6.

   If the mid-point offset on a different radius of 120 m is 15 m, determine how this changes if the deflection angle increases to 80°.

   Hint

   Consider how angular changes can affect distances.