Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
If R is the radius of the curve, L is length of long chord, the shift of the curve is (in m )
RL2тАЛ
2RL2тАЛ
24RL2тАЛ
6RL2тАЛ
24RL2тАЛ
In highway engineering, the 'shift' of a circular curve is the lateral displacement required to introduce a transition curve between a straight road and a circular curve. The shift (S) is defined by the formula S=24RL2тАЛ, where L is the length of the transition curve (often approximated as the length of the long chord in small-angle approximations) and R is the radius of the circular curve.
In highway engineering, the 'shift' of a circular curve is the lateral displacement required to introduce a transition curve between a straight road and a circular curve. The shift (S) is defined by the formula S=24RL2тАЛ, where L is the length of the transition curve (often approximated as the length of the long chord in small-angle approximations) and R is the radius of the circular curve.
S=24RLs2тАЛтАЛ тАФ formula for the shift of a transition curve
LsтАЛ=CRv3тАЛ тАФ length of transition curve based on rate of change of radial acceleration
When a transition curve is inserted between a tangent and a circular curve, the original circular curve must be shifted inward toward the center of curvature. This allows the transition curve to connect tangentially to both the straight section and the shifted circular arc. The magnitude of this displacement, known as the shift, ensures a smooth transition of centrifugal force and superelevation.
The shift is always directed towards the center of the circular curve.
It is a critical parameter in the design of horizontal alignment in highway and railway engineering.
The transition curve prevents the abrupt application of centrifugal force at the junction of a straight and circular path.
Ensures a gradual introduction of superelevation.
Provides a smooth transition of centrifugal force for vehicle comfort.
Prevents sudden lateral shock to passengers.
Increases the complexity of road layout and construction.
Requires additional land width at the beginning of the curve.
Geometric design of highways.
Alignment of railway tracks for high-speed travel.
In the context of the question, L represents the length of the transition curve. The expression 24RL2тАЛ is a standard geometric approximation derived from the spiral transition equation.
Options A, B, and D are incorrect as they do not represent the derived value for the lateral shift in curve geometry.
C is correct тАФ The shift of the curve is mathematically defined by the expression S=24RL2тАЛ.
Always remember that the shift is 1/24 of the ratio of the square of the transition length to the radius; this is a frequently tested formula in ESE and GATE exams.