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Minimum railway curve radius (by the track gauge and the cant)

Description

The minimum railway curve radius, the shortest allowable design radius for railway tracks under a particular set of conditions.
Track gauge is a technical term used in rail transport to define the spacing of the rails on a railway track and is measured between the inner faces of the load-bearing rails.
Cant of a railway track (also referred to as superelevation) or a road (sometimes referred to as cross slope or camber) is the difference in elevation between the two edges.
Cant deficiency is present when a vehicle’s speed on a curve is greater than the speed at which the components of wheel to rail force normal to the plane of the track would be the same in aggregate for the outside rails as for the inside rails.

Related formulas

Variables

rMinimum railway curve radius (m)
GTrack gauge (m)
vSpeed (m/s)
gStandard gravity
haCant (m)
hbCant deficiency (m)