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Which of the following curves fulfils the requirements of an ideal transition curve in horizontal alignment of the highways, for such curves radius is inversely proportional to the length and centrifugal acceleration is uniform throughout the length?

Which of the following curves fulfils the requirements of an ideal transition curve in horizontal alignment of the highways, for such curves radius is inversely proportional to the length and centrifugal acceleration is uniform throughout the length? Correct Answer Spiral curve

Explanation:

Transition curve is provided when there is change in the horizontal alignment from straight path to circular curve gradually.

This curve has a radius which decreases from infinity at the straight end (tangent point) to the desired radius of the circular curve at the other end (curve point).

Different types of transition curves are spiral or clothoid, cubic parabola, and Lemniscates.

However, IRC recommends spiral as the transition curve because it fulfills the requirement of an ideal transition curve, which are:

(a) Rate of change of centrifugal acceleration is consistent (smooth)

(b) Radius of the transition curve is infinity at the straight edge and changes to radius of circular curve  at the curve point such  that length of transition curve at any point is inversely proportional to radius of circular curve and calculation and field implementation is very easy.

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