High-speed railways commonly allow 2.5% to 4% because the trains must be strong and have many wheels with power to reach very high speeds. For freight trains, gradients should be as gentle as possible, preferably below 1.5%.
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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.
A train has a system called Wheel Slip Protection (WSP). This system automatically eases power to the drive wheels to prevent slipping. A train carries sands that can be distributed in front of the drive wheels giving them some friction to adhere to. This can be operated by the WSP or manually by the driver.
The locomotive connects the bogies well above the center line of the loco wheel. When the loco pulls the frictional force (rolling) times the bogies total weight makes the rear wheels of loco to exert more vertical force (due to moment arm) and this adds up to the loco dead weight.
On curved sections, the longitudinal (traction or braking) forces between vehicles have a component inward or outward respectively on the curve. In extreme situations these lateral forces may be enough to produce derailment. A special case of train handling problems is overspeed on sharp curves.
Description. Gelmerbahn in the canton of Bern, Switzerland, is the steepest funicular in Europe. It has an inclination of up to 106% and a 1,028m (3,373ft) long track. It takes you to the Gelmer Valley 1860m (6,102ft) above sea level, where you can enjoy some spectacular views.