The Lickey Incline, south of Birmingham, is the steepest sustained main-line railway incline in Great Britain. The climb is a gradient of 1 in 37.7 (2.65% or 26.5‰ or 1.52°) for a continuous distance of two miles (3.2 km).
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Grades are generally 1 percent or less, and grades steeper than about 2.2 percent are rare. The steepest grade on a major railroad's main track was historically said to be on the Pennsylvania Railroad north of Madison, Indiana, rising 413 feet over a distance of 7012 feet — a 5.89-percent grade.
The Pilatus Railway (German: Pilatusbahn, PB) is a mountain railway in Switzerland and the steepest rack railway in the world, with a maximum gradient of 48% and an average gradient of 35%.
Most trains find it difficult to climb hills and mountain slopes. The trains of cog, or rack, railroads, however, can scale steep slopes using a special toothed rail, known as a rack, in the middle of the track.
In normal slope of track (say 1:3), the train driver use brakes and control the down hill fast travel. If the slope is abnormal, the track will have additional rack type rail. The train will have a pinion wheel and it will be moving on the rack, the wheel will be controlled by breaking system.
Train Tilting SystemsFound on both high-speed rail systems and legacy lines, tilt trains are designed to tilt carriages into the curve of the track. The tilting action of the car body compensates for the force experienced by passengers inside, particularly when rounding curves at a high rate of speed.
British Rail invested heavily in tilting-train technology to overcome the limitations of a rail network located in space-constrained built-up areas. Italy's Trenitalia and the Japan National Railways have used tilting technology to speed express trains on conventional tracks through mountainous terrain.