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In which is curve has different radius in same origin.
Simple
Compound
Reverse
All of these
Compound
A compound curve consists of two or more simple circular arcs of different radii bending in the same direction with a common tangent at their junction point, but having different centers of curvature (origins). Thus, it features different radii originating from different center points on the same side of the common tangent.
A compound curve consists of two or more simple circular arcs of different radii bending in the same direction with a common tangent at their junction point, but having different centers of curvature (origins). Thus, it features different radii originating from different center points on the same side of the common tangent.
R1тАЛ,R2тАЛ тАФ Radii of the two circular arcs (R1тАЛюАа=R2тАЛ)
╬Ф=╬Ф1тАЛ+╬Ф2тАЛ тАФ Total deflection angle of the compound curve
TLтАЛ,TSтАЛ тАФ Long tangent and short tangent lengths
In highway and railway alignment, changes in terrain or property boundaries often prevent the use of a single circular curve. A compound curve achieves a gradual transition between two tangents by combining arcs of different radii (R1тАЛ and R2тАЛ) turning in the same direction, where R1тАЛюАа=R2тАЛ.
A compound curve turns in the same direction throughout its length.
It has two distinct centers of curvature (O1тАЛ and O2тАЛ) and two distinct radii (R1тАЛ and R2тАЛ).
The point where the two arcs meet is called the Point of Compound Curvature (PCC).
Provides flexibility in fitting alignments through difficult topographical constraints.
Avoids excessive cutting/filling compared to a single long simple curve.
More difficult to survey, layout, and stake out on the field.
Requires careful design of superelevation transitions at the PCC for smooth vehicular movement.
Mountainous terrain road alignments.
Railway track interchanges and turnouts.
Highway interchange ramps (loop ramps).
Simple Curve: Consists of a single circular arc of uniform radius connecting two tangents with one center of curvature.
Reverse Curve: Consists of two circular arcs bending in opposite directions with centers lying on opposite sides of the common tangent.
Option B is correct because a compound curve incorporates multiple distinct radii with independent centers/origins turning in the same direction.
B is correct тАФ A compound curve consists of two or more circular arcs of different radii having different origins (centers of curvature) turning in the same direction.
Remember: Same direction + different radii = Compound Curve; Opposite directions + same or different radii = Reverse Curve; Single radius = Simple Curve.