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A horseshoe curve is a class of climbing curve in a roadbed that reverses turn direction (inflection) twice on either side of a single tight curve that varies through an angle of about 180 degrees or more.
Such curves are more commonly found in a railway line but are also used in roads. The characteristic U shape, or even slight balloon shape, of such a curve resembles a horseshoe. On roadways, particularly tight versions of such curves are typically called hairpin turns.
A horseshoe curve is a means to lengthen an ascending or descending grade and thereby reduce the maximum gradient. Grade or gradient is defined as the rise divided by the run (length) or distance, so in principle such curves add to length for the same altitude gain, just as would a climbing spiral around one or more peaks, or a climbing traverse (cutting) wrapping around an end of a ridge.
If the straight route between two points is too steep to climb, a more circuitous route will increase the distance traveled, allowing the difference in altitude to be averaged over a longer track (or road) length. Unlike a spiral, a horseshoe curve does not involve the track crossing over itself, and the full horseshoe involves both relatively straight sections, curve deflections in both directions and tightly curved segment; while a spiral generally has a more uniform curvature. Obviously, a horseshoe also gives rise to a severe change in direction requiring another corrective curve to regain displacement in the overall direction of travel, while a spiral generally does not.
A horseshoe curve is sometimes used where the route bridges a deep gully. Deviating from a straight-line route along the edge of the gully may allow it to be crossed at a better location.
Horseshoe curves are common on railway lines in steeply graded or hilly country, where means must be found to achieve acceptable grades and minimize construction costs. As with spirals, the main limitation in laying out a horseshoe is keeping its radius as large as possible, as sharp curves limit train speed, and through increased friction, are harder on rails, requiring more frequent replacement of outer tracks.
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Horseshoe curves were used extensively on the many narrow gauge railroads in the Colorado Rocky Mountains, now mostly abandoned, [4] for example:
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The Denver and Rio Grande Western Railroad, often shortened to Rio Grande, D&RG or D&RGW, formerly the Denver & Rio Grande Railroad, was an American Class I railroad company. The railroad started as a 3 ft narrow-gauge line running south from Denver, Colorado, in 1870. It served mainly as a transcontinental bridge line between Denver and Salt Lake City, Utah. The Rio Grande was also a major origin of coal and mineral traffic.
A mountain railway is a railway that operates in a mountainous region. It may operate through the mountains by following mountain valleys and tunneling beneath mountain passes, or it may climb a mountain to provide transport to and from the summit.
A hairpin turn is a bend in a road with a very acute inner angle, making it necessary for an oncoming vehicle to turn about 180° to continue on the road. It is named for its resemblance to a bent metal hairpin. Such turns in ramps and trails may be called switchbacks in American English, by analogy with switchback railways.
A railway zig zag or switchback is a railway operation in which a train is required to switch its direction of travel in order to continue its journey. While this may be required purely from an operations standpoint, it is also ideal for climbing steep gradients with minimal need for tunnels and heavy earthworks. For a short distance, the direction of travel is reversed, before the original direction is resumed. Some switchbacks do not come in pairs, and the train may then need to travel backwards for a considerable distance.
A spiral is a technique employed by railways to ascend steep hills.
The Denver, South Park, and Pacific Railroad was a historic 3 ft narrow gauge railroad that operated in Colorado in the western United States in the late 19th century. The railroad opened up the first rail routes to a large section of the central Colorado mining district in the decades of the mineral boom. The railroad took its name from the fact that its main line from Denver ascended the Platte Canyon and traversed South Park, hence its popular name "The South Park Line." Despite its lofty goals, the line never connected itself with the Pacific or any transcontinental line, apart from its terminal at Denver Union Station.
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The Georgetown Loop Railroad is a 3 ft narrow gauge United States heritage railroad located in the Rocky Mountains in Clear Creek County, adjacent to Interstate 70 in Colorado.
The Pittsburg, Shawmut & Northern Railroad also known as the Shawmut Line, was a Class I railroad company operating passenger and freight service on standard gauge track in central Pennsylvania and western New York. The line was financially troubled for its entire life span and declared bankruptcy after just six years of operation. It would spend the remaining 42 year of its existence in receivership or trusteeship: one of the longest bankruptcy proceedings in American railroading history.
The Cumbres and Toltec Scenic Railroad, often abbreviated as the C&TSRR, is a 3 ft narrow-gauge heritage railroad that operates on 64 miles (103 km) of track between Antonito, Colorado, and Chama, New Mexico, in the United States. The railroad is named for two geographical features along the route: the 10,015-foot (3,053 m)-high Cumbres Pass and the Toltec Gorge. Originally part of the Denver and Rio Grande Western Railroad's narrow-gauge network, the line has been jointly owned by the states of Colorado and New Mexico since 1970.
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The Colorado and Southern Railway was an American Class I railroad in the western United States that operated independently from 1898 to 1908, then as part of the Chicago, Burlington and Quincy Railroad until it was absorbed into the Burlington Northern Railroad in 1981.
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The Yunnan–Haiphong railway is an 855 km (531 mi) railway built by France from 1904 to 1910, connecting Haiphong, Vietnam, with Kunming, Yunnan province, China. The section within China from Kunming to Hekou is known as the Kunming–Hekou railway, and is 466 km (290 mi) long. The section within Vietnam is 389 km (242 mi) long, and is known as the Hanoi–Lào Cai railway. The railway was built with 1,000 mm gauge due to the mountainous terrain along the route. Currently it is the only main line in China using 1,000 mmmetre gauge.
The Central Corridor is a rail line operated by the Union Pacific Railroad from near Winnemucca, Nevada to Denver, Colorado in the western United States. The line was created after the merger with the Southern Pacific Transportation Company by combining portions of lines built by former competitors. No portion of the line was originally built by the Union Pacific; in fact, some portions were built specifically to compete with the Union Pacific's Overland Route. The line is known for significant feats of engineering while crossing the Wasatch Mountains of Utah and the Rocky Mountains of Colorado. The line features numerous tunnels; the longest and highest of these is the Moffat Tunnel.
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The Alamosa–Durango line or San Juan extension was a railroad line built by the Denver and Rio Grande Western Railroad, following the border between the U.S. states of Colorado and New Mexico, in the Rocky Mountains. The line was originally built as a 3 ft narrow-gauge line between Alamosa, Colorado, and Durango, Colorado. Portions of the route survive: the now standard-gauged segment from Alamosa to Antonito, Colorado, and a narrow-gauge portion from Antonito to Chama, New Mexico.