Question
Download Solution PDFIf a curve setup on a highway has a deflection angle of 120° between its tangents and a versine distance of 225 m, then the sharpness of the curve subtended by an arc of length 30 m will be __________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Versine of curve: The versine is the perpendicular distance of the midpoint of a chord from the arc of a circle.
\(R = \frac{{1719}}{D}\)
where, M = Versine of curve, Δ = Deflection angle and R = Radius of curve
\(M = R \times (1 - Cos{\Delta\over 2})\)
225 = R (1 - Cos 120/2)
R = 450 m
Now we know that,
\(R = \frac{{1719}}{D}\)
So, D = 1720/450 = 3.8° ≈ 4°
Last updated on May 28, 2025
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