Abstract
Up to this time, we have tacitly assumed in the theory to reduce the shape of Transition Curve that a particle as a center of gravity of a car runs along the center-line of railway track and at the same time contacts with the surface of it.However, actually, the car moves in plan along the locus which the middle point of the chord linking two bogie-centers of a car traces, and on the other hand runs in elevation along the curve which is fairly biased to the inside of the curve of the center-line of railway track, on account of the existence of a Cant in the Track. Therefore we must treat the center-line of railway track and the locus described by the center of gravity of a car as a different line and must investigate, in the research about the shape of Transition Curve, the shape of center-line of railway track which enables the center of gravity of a car to move smoothly.
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