Mathematically:
VersineMathematically: Versine ( θ ) = ( 1 - Cos θ ). In colloquial use the ‘versine’ on a curved portion of track is the extent to which the track turns sideway... More ( θ ) = ( 1 – Cos θ ).
In colloquial use the ‘versine’ on a curved portion of track is the extent to
which the track turns sideways through the curve – the transverse
displacement (offset).
v = r VersineMathematically: Versine ( θ ) = ( 1 - Cos θ ). In colloquial use the ‘versine’ on a curved portion of track is the extent to which the track turns sideway... More ( θ ),
where ‘r’ is the radiusThe radius of curvature of the track. More of curvature and ‘θ’ the change in direction. ‘v’ is
used in the calculation of the additional structural clearance on curves.