When a rail vehicle's speed on a curved rail is high enough to begin tipping over
In railway engineering, cant deficiency is defined in the context of travel of a rail vehicle at constant speed on a constant-radius curve. Cant itself refers to the superelevation of the curve, that is, the difference between the elevations of the outside and inside rails. Cant deficiency is present when a rail vehicle's speed on the curve is greater than the speed at which the components of wheel to rail force are normal to the plane of the track. In that case, the resultant force (aggregate gravitational and centrifugal force) exerts on the outside rail more than the inside rail, in which it creates lateral acceleration toward the outside of the curve (which could lead to tipping or derailing). In order to reduce cant deficiency, the speed can be reduced or the superelevation can be increased. The amount of cant deficiency is expressed in terms of required superelevation to be added in order to bring the resultant force into balance between the two rails.
On the contrary, it is said to be "cant excess" if the resultant force exerts more against the inside rail than the outside rail, for instance, a high superelevation curve with a train traveling at a low speed.[1]
^Marquis, Brian. Cant Deficiency, Curving Speeds and Tilt(PDF). US DOT Volpe National Transportation Systems Center. Retrieved 29 September 2015.
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