A spiral 80m long connects a tangent with a 7° 30' circular curve. If the stationing of the T.S. is 12+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
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A spiral 80m long connects a tangent with a 7° 30' circular curve. If the stationing of the T.S. is 12+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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