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The minimum radius ( R in metres) of the valley curve for cubic parabola is given by Where, L = total length of valley curve N = deviation angle
Question

The minimum radius ( R in metres) of the valley curve for cubic parabola is given by Where,
L = total length of valley curve
N = deviation angle in radians or tangent of the deviation angle

A.

L/N

B.

L/2N

C.

L/3N

D.

None of these

Correct option is B

For a cubic parabola used in valley curve design (especially sag curves under headlight sight distance or comfort criteria),the radius of curvature at the lowest point (where curvature is maximum) is given by the formula:R=L2NWhere:R=Radius at the lowest point (minimum radius)L=Total length of valley curveN=Deviation angle (in radians or tanθ, i.e., algebraic difference of slopes)\text{For a cubic parabola used in valley curve design (especially sag curves under headlight sight distance or comfort criteria),} \\\text{the radius of curvature at the lowest point (where curvature is maximum) is given by the formula:} \\R = \frac{L}{2N} \\\text{Where:} \\R = \text{Radius at the lowest point (minimum radius)} \\L = \text{Total length of valley curve} \\N = \text{Deviation angle (in radians or } \tan\theta\text{, i.e., algebraic difference of slopes)}​​

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