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When a curve is connected two straight lines, there be always_____
Parallel
Perpendicular
Tangential
All of these
Tangential
In highway and railway engineering, curves are introduced to provide a smooth transition between two straight sections of alignment ┬╖ For a curve to provide a comfortable and safe transition, it must be tangential to both the incoming and outgoing straight lines at the point of curvature and point of tangency, respectively.
In highway and railway engineering, curves are introduced to provide a smooth transition between two straight sections of alignment ┬╖ For a curve to provide a comfortable and safe transition, it must be tangential to both the incoming and outgoing straight lines at the point of curvature and point of tangency, respectively.
T=Rtan(2╬ФтАЛ) тАФ Tangent length calculation for a circular curve where ╬Ф is the deflection angle.
The transition occurs such that the tangent of the curve at the starting point aligns with the initial straight path, and the tangent at the ending point aligns with the final straight path ┬╖ This prevents abrupt changes in the direction of the vehicle, which would otherwise result in infinite centripetal acceleration and sudden steering maneuvers.
A curve must be tangential to maintain a constant rate of change of direction.
Abrupt changes in direction lead to high lateral forces and discomfort.
The points where the curve meets the straight lines are known as Tangent Points (PC and PT).
Reduces passenger discomfort due to lateral acceleration.
Minimizes wear and tear on vehicle components and road surfaces.
Requires more land area for larger radius curves.
Design complexity increases with high-speed requirements.
Horizontal alignment in highway and railway engineering.
Geometric design of junctions and interchanges.
A lack of tangency creates a 'kink' in the alignment, which is structurally hazardous.
Option B (Perpendicular) is incorrect as it would force a 90-degree abrupt change, violating safety standards.
C is correct тАФ A curve must be tangential to both straight lines to ensure a smooth transition and continuous curvature.
Remember that 'tangential' applies to both horizontal curves and vertical curves to ensure comfort (vertical curves must match the tangent grades).