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The curve of varying radius is known as
transition
Compound
Reverse
All of these
transition
A transition curve is an easement curve of varying radius introduced between a straight line and a circular curve, or between two circular curves of different radii. Its primary function is to provide a gradual change in centripetal acceleration and to allow for the smooth transition of superelevation.
A transition curve is an easement curve of varying radius introduced between a straight line and a circular curve, or between two circular curves of different radii. Its primary function is to provide a gradual change in centripetal acceleration and to allow for the smooth transition of superelevation.
L=CRv3тАЛ тАФ Ideal length of transition curve based on centrifugal ratio
l=2Rs2тАЛ тАФ Relationship between length of curve l and radius R for a cubic parabola
As a vehicle enters a curve from a straight path, the sudden application of centrifugal force is discomforting and dangerous. The transition curve begins with an infinite radius at the straight tangent point and gradually decreases to the radius of the circular curve (R). This linear or cubic change in curvature allows the driver to gradually steer and increase the superelevation rate linearly.
Transition curves eliminate the sudden jerk experienced when entering a circular curve.
They facilitate the gradual introduction of superelevation, ensuring vehicle stability.
Common types include the Cubic Parabola, Cubic Spiral (Clothoid), and Lemniscate.
They are mandatory for high-speed railway tracks and highways.
Provides passenger comfort by minimizing centrifugal jerk.
Allows gradual development of superelevation and extra widening.
Ensures the vehicle follows a path of changing curvature rather than an abrupt shift.
Increases the complexity and cost of site surveying and road construction.
Requires more space at the intersection point compared to simple curves.
High-speed highway geometric design.
Railway track alignment to prevent derailment.
Industrial piping and conveyor belt systems to reduce dynamic stress.
A 'Compound curve' consists of two or more circular curves of different radii curving in the same direction, having a common tangent.
A 'Reverse curve' consists of two circular curves of equal or different radii curving in opposite directions.
The radius of a transition curve is defined by the function RтЛЕL=constant (for a spiral).
A is correct тАФ A transition curve is defined as an easement curve with a continuously varying radius used to connect straights and circular curves.
Always remember that transition curves are meant for 'comfort and safety' (gradual change), whereas compound curves are used primarily to 'fit the alignment' to topography.
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