A spiral 80m long connects a tangent with a 7° 30' circular curve. If the stationing of the T.S. is 10+000, and the gauge of the tract on the curve is 1.5m. Determine the following: (a) the elevation of the outer rail at the midpoint, if the velocity of the fastest train that can pass over the curve is 60kph, (b) the spiral angle at the first quarter point, (c) the deflection angle at the end point, and (d) the offset from the tangent at the second quarter point.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
A spiral 80m long connects a tangent with a 7° 30' circular curve. If the stationing of the T.S. is 10+000,
and the gauge of the tract on the curve is 1.5m.
Determine the following:
(a) the elevation of the outer rail at the midpoint, if the velocity of the fastest train that can pass over
the curve is 60kph,
(b) the spiral angle at the first quarter point,
(c) the deflection angle at the end point, and
(d) the offset from the tangent at the second quarter point.
Transcribed Image Text:A spiral 80m long connects a tangent with a 7° 30' circular curve. If the stationing of the T.S. is 10+000, and the gauge of the tract on the curve is 1.5m. Determine the following: (a) the elevation of the outer rail at the midpoint, if the velocity of the fastest train that can pass over the curve is 60kph, (b) the spiral angle at the first quarter point, (c) the deflection angle at the end point, and (d) the offset from the tangent at the second quarter point.
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