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- Cant_deficiency abstract "The term "cant deficiency" is defined in the context of travel of a rail vehicle at constant speed on a constant radius curve. Cant itself is a British synonym for the superelevation of the curve, that is, the elevation of the outside rail minus the elevation of the inside rail. 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.The forces that bear on the vehicle in this context are illustrated in the following figure.A vehicle's motion at speed v along a circular path embodies centripetal acceleration of magnitude v2/R toward the center of the circle, the curvature of that path being 1/R where R is the radius of the circle. This centripetal acceleration is produced by horizontal forces applied by the rails to the wheels of the vehicle, directed toward the center, and having sum equal to Mv2/R where M is the mass of the vehicle.The net horizontal force producing the centripetal acceleration is generally separated into components that are respectively in the plane of the superelevated (i.e., banked) track and normal thereto.The component normal to the track acts together with the much larger component of gravitational force normal to the track and is generally neglected. It can slightly increase the vertical load seen by the vehicle suspension but it does not create lateral acceleration as perceived by passengers or and does not cause lateral deflection of the vehicle suspension.The track is superelevated so that the component of the acceleration of gravity in the plane of the track will provide some fraction of the horizontal acceleration in the plane of the track due to the circular motion. Referring to the figure above, it can be seen that the components of gravitational and centripetal acceleration in the plane of the track will be equal when the following balance equation is satisfied, where α is the bank angle.For a given curve radius and bank angle (i.e., superelevation) the speed V that satisfies the balance equation is called the balancing speed and is given byFor reasons that will be mentioned below, passenger vehicles usually traverse a curve at a speed higher than the balance speed. The amount by which the actual speed exceeds the balance speed is conveniently expressed via the so-called cant deficiency, i.e., by the amount by which the superelevation would need to be increased to raise the balance speed to the speed at which the vehicles actually travel. Letting gaugese denote the rail gauge from low rail gauge side corner to high rail field side corner, letting super_el denote the actual superelevation, and letting Vact denote the actual speed, it follows from the definition that the cant deficiency, CD, is given by the formula".
- Cant_deficiency thumbnail Ltk_balance_diagram_w_alpha.jpg?width=300.
- Cant_deficiency wikiPageID "11214626".
- Cant_deficiency wikiPageRevisionID "598768292".
- Cant_deficiency hasPhotoCollection Cant_deficiency.
- Cant_deficiency subject Category:Track_geometry.
- Cant_deficiency type Abstraction100002137.
- Cant_deficiency type Act100030358.
- Cant_deficiency type Activity100407535.
- Cant_deficiency type Application100949134.
- Cant_deficiency type Event100029378.
- Cant_deficiency type Occupation100582388.
- Cant_deficiency type Profession100609953.
- Cant_deficiency type PsychologicalFeature100023100.
- Cant_deficiency type RailTechnologies.
- Cant_deficiency type RailTechnology100951037.
- Cant_deficiency type Technology100949619.
- Cant_deficiency type Use100947128.
- Cant_deficiency type YagoPermanentlyLocatedEntity.
- Cant_deficiency comment "The term "cant deficiency" is defined in the context of travel of a rail vehicle at constant speed on a constant radius curve. Cant itself is a British synonym for the superelevation of the curve, that is, the elevation of the outside rail minus the elevation of the inside rail.".
- Cant_deficiency label "Cant deficiency".
- Cant_deficiency label "Insuffisance de dévers".
- Cant_deficiency sameAs Insuffisance_de_dévers.
- Cant_deficiency sameAs m.02r3wqv.
- Cant_deficiency sameAs Q3152923.
- Cant_deficiency sameAs Q3152923.
- Cant_deficiency sameAs Cant_deficiency.
- Cant_deficiency wasDerivedFrom Cant_deficiency?oldid=598768292.
- Cant_deficiency depiction Ltk_balance_diagram_w_alpha.jpg.
- Cant_deficiency isPrimaryTopicOf Cant_deficiency.