The inclusion of steep gradients on railways avoids the expensive engineering work required to produce more gentle gradients. However the maximum feasible gradient is limited by how much of a load the locomotive(s) can haul upwards. Braking when travelling downhill is also a limiting factor. There have been various solutions to hauling rail mounted vehicles up or down inclines. These include simple rail adhesion, rack railways and cable inclines (including rail mounted water tanks to carry barges). To help with braking on the descent, a non-load-bearing "brake rail" located between the running rails can be used, similar to the rail used in the Fell system, e.g. by the Snaefell Mountain Railway on the Isle of Man.
Tramways and light railways often have steeper gradients than heavier railways. This is because all wheels are usually connected to engine power in order to give better acceleration. Grades of 5% are not uncommon on them. Metros and pure commuter railways often also allow steeper gradients, over 4%, for the same reason. 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%.
The list below is of some of the steepest gradients on adhesion railways, in order of decreasing steepness:
Gradient | Line | Date Open | Notes | |
---|---|---|---|---|
1 in 8.6 (11.6%) | Pöstlingbergbahn, Austria | 1898 | ||
1 in 9 (11.1%) | Cass Scenic Railway, West Virginia, United States | 1901 | Former logging railway, steepest non-electrified adhesion railway | |
1 in 9 (11%) or 1 in 10 (10%) | Estrada de Ferro Campos do Jordão, Brazil | 22 existing railways merged and nationalised in 1953 | ||
1 in 9.5 (10.5%) | Roaring Camp & Big Trees Narrow Gauge Railroad, California, United States | 1963 | 3ft narrow gauge heritage railroad | |
1 in 10 (10%) | Sheffield Supertram, Sheffield, England | 1994 | [1] | |
1 in 10.4 (9.6%) | Gmunden Tramway, Austria | 1894 | [2] | |
1 in 11 (9.1%) | Allentown light rail line, Pittsburgh, United States | ???? | ||
Saint-Gervais–Vallorcine railway, France | 1901 | |||
J Church line, San Francisco | 1917 | [3] | ||
1 in 11.13 (9.0%) | BC Forest Discovery Centre, Duncan, B.C., Canada | The steepest incline on a 3 ft narrow-gauge railway in Canada, the BC Forest Discovery Centre is a Forestry and Logging Museum that runs a tourist train, using a combination of steam locomotives and diesel locomotives, usually with trains consisting of 1-3 coaches in length, as well as motor cars. | ||
1 in 11.4 (8.8%) | Cinci Drumuri–Pădurii, Iași Tramways, Iași, Romania | [4] | ||
1 in 11.4 (8.75%) | A and B Loop and NS Line of the Portland Streetcar system, Portland, Oregon, United States | Located in the block of Southwest Harrison Street between 1st Avenue and 2nd Avenue [5] | ||
1 in 11.8 (8.5%) | Stuttgart light rail system, Germany | Steepest gradient in Alexanderstraße on the southern part of line U15. [6] | ||
1 in 12.5 (8%) | Hakone Tozan Line, Japan | |||
1 in 12.5 (8%) | Trieste-Opicina tramway | Mixed adhesion and rope-hauled operation. The maximum gradient on adhesion is 8% between Vetta Scorcola and Cologna stops. Maximum gradient on the rope-hauled section is 26% between Romagna and S. Anastasio stops. [7] | ||
1 in 12.5 (8.0%) | Appenzell–St. Gallen–Trogen railway, Appenzeller Bahnen, Switzerland | |||
1 in 12.6 (7.9%) | Uetliberg railway line, Sihltal Zürich Uetliberg Bahn, Switzerland | 1875 | [8] [9] | |
1 in 12.7 (7.85%) | Green Line B branch, Boston, Massachusetts, United States | The steepest gradients are near Washington Street station. [10] | ||
1 in 13.7 (7.3%) | Montreux–Lenk im Simmental line, Switzerland | |||
1 in 14 (7.1%) | Driving Creek Railway, Coromandel, New Zealand | |||
1 in 14 (7.1%) | Hopton Incline, Cromford and High Peak Railway, England | This incline has only carried passengers, by adhesion, on enthusiast special trains, but is now completely closed. | ||
1 in 14.1 (7.1%) | Erzberg Railway (Erzbergbahn), Austria | Built as a rack railway, adhesion operation only by passenger railbuses, now only museum operation on part of the line. | ||
1 in 14 (7.0%) | Red Marble Grade, Topton, North Carolina. | A 2015 survey [11] lists the 3.5 mile stretch between MP 87 and MP 90.5 at a 4% average grade and says there are isolated stretches approaching 7%. When originally built the ruling grade was 4.2% as listed by southern railway. But due to the fills settling it has drastically changed. [11] This segment of track has always been worked by adhesion. This line is owned by Great Smoky Mountains Railroad and in 2019 is out of service. | ||
1 in 14.2 (7.0%) | Bernina Railway, Switzerland | |||
MAX Light Rail system, Portland, Oregon, United States | System's ruling gradient of 7.0% is located on the viaduct connecting the Steel Bridge with Southwest 1st Avenue. [12] [13] | |||
SacRT light rail, Sacramento, California, United States | ||||
1 in 15 (6.67%) | Usui Pass, former Shin'etsu Main Line, Japan | |||
Former Keihan Keishin Line | ||||
Toden Arakawa Line (Tokyo Sakura Tram), Japan | ||||
1 in 15.4 (6.5%) | Incline from the Causeway Street Tunnel up to the Lechmere Viaduct on the Green Line (MBTA), Boston, Massachusetts, United States | [14] This incline is commonly believed to be the "steepest grade of tracks in the T system." [15] | ||
1 in 15.9 (6.3%) | Alishan Forest Railway, Taiwan | |||
1 in 16.4 (6.1%) | Hunsrückbahn, Germany | Built as a rack railway. | ||
Keihan Keishin Line | ||||
1 in 16.6 (6.0%) | Ligne de Cerdagne, France | |||
1 in 16.7 (6.0%) | 1910 | Arosabahn Switzerland | Rockfall shelter | |
Arica, Chile to Bolivia | With 100 m (328.08 ft) radius curves. | |||
1 in 16.6 (6.0%) | Terni–Perugia–Sansepolcro railway (Perugia Sant'Anna branch) | Steepest standard gauge line in Italy | ||
1 in 17 (5.89%) | Madison Incline, Madison, Indiana, United States | Steepest standard gauge, line haul railroad in North America. [16] Worked as a rack railway until 1868 when the Reuben Wells was built to work the hill by adhesion. | ||
1 in 17.1 (5.88%) | Docklands Light Railway, London, England | On the ramp from the original London and Blackwall Railway viaduct to the tunnel leading to Bank. | ||
1 in 17.5 (5.7%) | Mukilteo, Washington, United States, Boeing Factory Spur | Rail line for delivering parts shipped from overseas to the Boeing Everett Factory. | ||
1 in 18 (5.5%) | Near Alausi, Ecuador on line to Quito | |||
Flåmsbanen, Norway | ||||
Höllentalbahn (Black Forest), Germany | ||||
1 in 19.2 (5.2%) | Hong Kong Tramway, Hong Kong | Along the section of King's Road between the junctions with Kornhill Road and Shau Kei Wan Road/Taikoo Shing Road | ||
1 in 19 (5.3%) | Camden Tram, New South Wales, Australia | This line has been closed for over 50 years. | ||
Foxfield Railway, Staffordshire, England | This incline is on a preserved colliery railway which briefly carried passengers over this steep section but does not now normally do so. | |||
Kangra Valley Railway, Himachal Pradesh, India | ||||
1 in 20 (5.0%) | Rapperswil - Samstagern, Südostbahn, Switzerland | |||
Murg Valley Railway, Germany | ||||
Kurobe Gorge Railway, Japan | ||||
Eizan Electric Railway Kurama Line, Japan | ||||
Nankai Electric Railway Koya Line, Japan | ||||
Kobe Electric Railway (Shintetsu) Ao Line and Arima Line, Japan | ||||
Tateyama Erosion Control Train, Japan | [17] | |||
1 in 20 (5.0%)/1 in 25 (4.0%) | Matheran Hill Railway, India | Near Mumbai | ||
1 in 21 (4.7%) | Saluda Grade, Saluda, North Carolina, United States | The steepest standard gauge mainline railroad grade in the United States. [18] Worked by adhesion between 1878 and 2001, currently out of service. | ||
1 in 22 (4.5%) | Balsam Mountain Grade, Balsam N.C. | Balsam Mountain, home of highest railroad station east of the Rockies; average grade about 4.0%, max 4.5%. 1 of 2 grades on southern railways former Murphy branch that are +4% grade. Balsam Mountain has seen many runaways. It is still in service operated by the Blue Ridge Southern Railroad (Watco). | ||
1 in 22 (4.5%) | Darjeeling Himalayan Railway, India | |||
1 in 22 (4.5%) | Big Hill, British Columbia, Canada | Operated from 1884 to 1909 when it was replaced by two spiral tunnels. | ||
1 in 22.5 (4.4%) | Thamshavn Line, Norway | |||
1 in 23 (4.3%) | Ballochney incline, Ballochney Railway, Scotland | The steepest standard gauge inclines used regularly by passenger trains by adhesion in Britain. Both closed to passengers from 1 May 1930 by the London and North Eastern Railway and since closed completely. [19] | ||
Causewayend incline, Slamannan Railway, Scotland | ||||
1 in 25 (4.0%) | Cologne–Frankfurt high-speed rail line, Germany | |||
Chosica - Galera, Central Railway, Peru | ||||
Selketalbahn, Germany | ||||
Cumbres and Toltec Scenic Railroad, Colorado, United States | ||||
Durango and Silverton Narrow Gauge Railroad, Colorado, United States | ||||
Sawando to Akagi, Iida Line, Japan | ||||
Fujikyuko Line, Fuji Kyuko Railway, Japan | ||||
Batlow branch, New South Wales, Australia | 1923 | This line has been closed for many years. A popular grade in NSW. | ||
Newnes branch, New South Wales, Australia | This line has been closed for many decades. The Glowworm Tunnel on its former route is a popular tourist attraction. Used "Shay" locomotives. | |||
Oberon branch, New South Wales, Australia | 1923-1980 | This line has been closed for decades. [20] | ||
Dorrigo branch, New South Wales, Australia | This line has been closed for decades. There have been several attempts by the Dorrigo Steam Railway and Museum and Glenreagh Mountain Railway to reinstate part of it as a historic/tourist rail line. | |||
Luxembourg to St Michel-Notre Dame, RER Line B, Paris, France | ||||
1 in 26 (3.85%) | Iquique Railway, Chile | [21] | ||
Ōu Main Line (Yamagata Shinkansen), Japan | Momentum Grades | |||
1 in 27 (3.7%) | Mersey Railway Tunnel, England | |||
Werneth Incline, England | Regular passenger service withdrawn 7 January 1963 and since closed completely. [22] | |||
Holywell branch line, Wales | Regular passenger service withdrawn 6 September 1954 and since closed completely. [19] | |||
Mauritius Railways | [23] | |||
1 in 28 (3.6%) | LGV Sud-Est high-speed line, France | |||
1 in 28.5 (3.5%) | Kyushu Shinkansen, Japan | |||
1 in 48 (2.08%) | Liverpool and Manchester Railway Docks | 1830 | designed for cable haulage to begin with; replaced by locomotives when technology advanced enough. | |
1 in 96 (1.04%) | Liverpool and Manchester Railway | 1830 | On either side of Rainhill level where Rainhill locomotive trials were conducted in 1829. | |
1 in 880 (0.11%) | Liverpool and Manchester Railway | 1830 | General ruling gauge in General |
A locomotive is a rail transport vehicle that provides the motive power for a train. If a locomotive is capable of carrying a payload, it is usually rather referred to as a multiple unit, motor coach, railcar or power car; the use of these self-propelled vehicles is increasingly common for passenger trains, but rare for freight trains.
Rail transport is a means of transport using wheeled vehicles running in tracks, which usually consist of two parallel steel rails. Rail transport is one of the two primary means of land transport, next to road transport. It is used for about 8% of passenger and freight transport globally, thanks to its energy efficiency and potentially high speed.
A funicular is a type of cable railway system that connects points along a railway track laid on a steep slope. The system is characterized by two counterbalanced carriages permanently attached to opposite ends of a haulage cable, which is looped over a pulley at the upper end of the track. The result of such a configuration is that the two carriages move synchronously: as one ascends, the other descends at an equal speed. This feature distinguishes funiculars from inclined elevators, which have a single car that is hauled uphill.
A rubber-tyred metro or rubber-tired metro is a form of rapid transit system that uses a mix of road and rail technology. The vehicles have wheels with rubber tires that run on a roll way inside guide bars for traction. Traditional, flanged steel wheels running on rail tracks provide guidance through switches and act as backup if tyres fail. Most rubber-tyred trains are purpose-built and designed for the system on which they operate. Guided buses are sometimes referred to as 'trams on tyres', and compared to rubber-tyred metros.
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 rack railway is a steep grade railway with a toothed rack rail, usually between the running rails. The trains are fitted with one or more cog wheels or pinions that mesh with this rack rail. This allows the trains to operate on steep gradients of 100% or more, well above the 10% maximum for friction-based rail. The rack and pinion mechanism also provides more controlled braking and reduces the effects of snow or ice on the rails. Most rack railways are mountain railways, although a few are transit railways or tramways built to overcome a steep gradient in an urban environment. The first cog railway was the Middleton Railway between Middleton and Leeds in West Yorkshire, England, United Kingdom, where the first commercially successful steam locomotive, Salamanca, ran in 1812. This used a rack and pinion system designed and patented in 1811 by John Blenkinsop.
The grade (US) or gradient (UK) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal. It is a special case of the slope, where zero indicates horizontality. A larger number indicates higher or steeper degree of "tilt". Often slope is calculated as a ratio of "rise" to "run", or as a fraction in which run is the horizontal distance and rise is the vertical distance.
The Fell system was the first third-rail system for railways that were too steep to be worked by adhesion on the two running rails alone. It used a raised centre rail between the two running rails to provide extra traction and braking, or braking alone. Trains were propelled by wheels horizontally applied and retracted by springs onto the centre rail, controlled from the cab, as well as by the normal running wheels. In practice, the running wheels could be allowed to run freely to reduce wear, but the centre brake shoes needed to be replaced frequently. For example: the locomotives' shoes were replaced after each journey on the Mont Cenis Pass Railway. Extra brake shoes were fitted to specially designed or adapted Fell locomotives and brake vans, and for traction the prototype locomotive had an auxiliary engine powering the horizontal wheels. The Fell system was developed in the 1860s and was soon superseded by various types of rack railway for new lines, but some Fell systems remained in use into the 1960s. The Snaefell Mountain Railway still uses the Fell system for (emergency) braking, but not for traction.
Hillclimbing is a problem faced by railway systems when a load must be carried up an incline. While railways have a great ability to haul very heavy loads, this advantage is only significant when the tracks are fairly level. As soon as the gradients increase, the tonnage that can be hauled is greatly diminished.
The Pilatus Railway 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%. The line runs from Alpnachstad, on Lake Alpnach, to a terminus near the Esel summit of Pilatus at an elevation of 2,073 m (6,801 ft), which makes it the highest railway in the canton of Obwalden and the second highest in Central Switzerland after the Furka line. At Alpnachstad, the Pilatus Railway connects with steamers on Lake Lucerne and with trains on the Brünigbahn line of Zentralbahn.
A cable railway is a railway that uses a cable, rope or chain to haul trains. It is a specific type of cable transportation.
The Hopton Incline was the steepest stretch of conventional, adhesion-worked standard gauge railway in the UK. The incline was situated in sparsely populated, exposed limestone uplands in the Peak District of Derbyshire, England.
The term ruling grade is usually used as a synonym for "steepest climb" between two points on a railroad. More simply, the steepest grade to be climbed dictates how powerful the motive power must be in order for the run to be made without assistance. Even if 99% of the line could be run with a low-powered locomotive, if at some point on the line there is a steeper gradient than such train would be able to climb, this gradient "rules" that a more powerful locomotive must be used, in spite of it being far too powerful for the rest of the line. This is why special "helper engines" are often stationed near steep grades on otherwise mild tracks. It is cheaper than running a too-powerful locomotive over the entire track mileage just in order to make the grade, especially when multiple trains run over the line each day.
The Aigle–Leysin railway line is a narrow-gauge railway line in the Chablais area of southwest Switzerland. The line was opened on 5 May 1900, a 1,000 mm -gauge cog-wheel railway using the Abt rack system. It was the first such line in the region. The line was built by the Chemin de fer Aigle–Leysin.
The minimum railway curve radius is the shortest allowable design radius for the centerline of railway tracks under a particular set of conditions. It has an important bearing on construction costs and operating costs and, in combination with superelevation in the case of train tracks, determines the maximum safe speed of a curve. The minimum radius of a curve is one parameter in the design of railway vehicles as well as trams; monorails and automated guideways are also subject to a minimum radius.
The Pöstlingbergbahn is a narrow-gauge electric railway, or "mountain tramway", in Linz, Austria. It connects the main square in the centre of Linz with the district of Pöstlingberg, located at the top of a hill at the northern end of the city. Opened in 1898, for 110 years the metre-gauge railway ran from a terminal station in Linz's Urfahr neighbourhood, located across from the terminus of urban tram route 3, to Pöstlingberg. In 2009, service was extended from Urfahr to the city centre. To permit this change, the railway was regauged from 1,000 mmmetre gauge to 900 mm and a track connection to the Linz tram network was built. Service was suspended from March 2008 until May 2009 for this work. With a maximum grade of 11.6%, the Pöstlingbergbahn is one of the steepest adhesion railways in the world. There are steeper grades on at least one other tram system, that of Lisbon, but the Pöstlingbergbahn is still among the world's steepest adhesion railways and has the steepest grade of any in Austria.
The Merthyr Tramroad was a 9.75-mile-long (15.69 km) line that opened in 1802, connecting the private lines belonging to the Dowlais and Penydarren Ironworks with the Glamorganshire Canal at Abercynon, also serving the Plymouth Ironworks along the way. It is famous as the line, on which Richard Trevithick's experimental locomotive hauled the first train to carry a load. It was largely superseded when the Taff Vale Railway opened in 1841, and sections gradually went out of use over two decades, from about 1851.
A steep grade railway is a railway that ascends and descends a slope that has a steep grade. Such railways can use a number of different technologies to overcome the steepness of the grade.
Trams in Linz is a network of tramways forming the backbone of the urban public transport system in Linz, which is the capital city of the federal state of Upper Austria in Austria.
Beckhole Incline was a steep, rope-worked gradient on the railway line between Whitby and Pickering, in the North Riding of Yorkshire, England. Opened in May 1836 as part of the horse-worked Whitby & Pickering Railway, the line was operated by three railway companies before becoming redundant on the opening of a diversionary line to the east that allowed through working by steam engines on the entire line. Although the incline was closed to regular traffic in 1865, it was used for a very brief period in 1872, to test a special locomotive intended for railways with steep gradients.