Train Meet
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Train Meet
A train meet is the situation in railroading or rail transit operations in which a train traveling in one direction "meets" another traveling in the opposite direction, either while traveling on parallel double or multiple tracks, or while stopping and waiting on a railroad siding for the other train to pass on a single track mainline. Determining the time and location of where such trains meet is paramount in railroad engineering particularly in single track sections to avoid collisions or to allow faster trains to bypass slower service trains. Determining when and where a train meet occurs is also a classic mathematics problem. See also * Passing loop A passing loop (UK usage) or passing siding (North America) (also called a crossing loop, crossing place, refuge loop or, colloquially, a hole) is a place on a single line railway or tramway, often located at or near a station, where trains or ... References Rail transport operations {{rail-transport-stub ...
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Railroading
Rail transport (also known as train transport) is a means of transport that transfers passengers and goods on wheeled vehicles running on rails, which are incorporated in tracks. In contrast to road transport, where the vehicles run on a prepared flat surface, rail vehicles (rolling stock) are directionally guided by the tracks on which they run. Tracks usually consist of steel rails, installed on sleepers (ties) set in ballast, on which the rolling stock, usually fitted with metal wheels, moves. Other variations are also possible, such as "slab track", in which the rails are fastened to a concrete foundation resting on a prepared subsurface. Rolling stock in a rail transport system generally encounters lower frictional resistance than rubber-tyred road vehicles, so passenger and freight cars (carriages and wagons) can be coupled into longer trains. The operation is carried out by a railway company, providing transport between train stations or freight customer faciliti ...
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Rail Transit
Urban rail transit is an all-encompassing term for various types of local rail systems providing passenger service within and around urban or suburban areas. The set of urban rail systems can be roughly subdivided into the following categories, which sometimes overlap because some systems or lines have aspects of multiple types. Types Tram A ''tram'', ''streetcar'', or ''trolley'' system is a rail-based transit system that runs mainly or completely along streets (with street running), with a relatively-low capacity and frequent stops. Passengers usually board at the street or curb level, but low-floor trams may allow level boarding. Longer-distance lines are called ''interurbans'' or ''radial railways''. Few interurbans remain, most having been upgraded to commuter rail or light rail or abandoned. The term "tram" is used in most parts of the world. In North America, such systems are referred to as "streetcar" or "trolley" systems. In Germany, such systems are called "Straße ...
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Double Track
A double-track railway usually involves running one track in each direction, compared to a single-track railway where trains in both directions share the same track. Overview In the earliest days of railways in the United Kingdom, most lines were built as double-track because of the difficulty of co-ordinating operations before the invention of the telegraph. The lines also tended to be busy enough to be beyond the capacity of a single track. In the early days the Board of Trade did not consider any single-track railway line to be complete. In the earliest days of railways in the United States most lines were built as single-track for reasons of cost, and very inefficient timetable working systems were used to prevent head-on collisions on single lines. This improved with the development of the telegraph and the train order system. Operation Handedness In any given country, rail traffic generally runs to one side of a double-track line, not always the same side a ...
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Railroad Track
A railway track (British English and UIC terminology) or railroad track (American English), also known as permanent way or simply track, is the structure on a railway or railroad consisting of the rails, fasteners, railroad ties (sleepers, British English) and ballast (or slab track), plus the underlying subgrade. It enables trains to move by providing a dependable surface for their wheels to roll upon. Early tracks were constructed with wooden or cast iron rails, and wooden or stone sleepers; since the 1870s, rails have almost universally been made from steel. Historical development The first railway in Britain was the Wollaton Wagonway, built in 1603 between Wollaton and Strelley in Nottinghamshire. It used wooden rails and was the first of around 50 wooden-railed tramways built over the next 164 years. These early wooden tramways typically used rails of oak or beech, attached to wooden sleepers with iron or wooden nails. Gravel or small stones were packed around the s ...
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Siding (rail)
A siding, in rail terminology, is a low-speed track section distinct from a running line or through route such as a main line, branch line, or spur. It may connect to through track or to other sidings at either end. Sidings often have lighter rails, meant for lower speed or less heavy traffic, and few, if any, signals. Sidings connected at both ends to a running line are commonly known as loops; those not so connected may be referred to as single-ended or dead-end sidings, or (if short) stubs. Functions Sidings may be used for marshalling (classifying), stabling, storing, loading, and unloading vehicles. Common sidings store stationary rolling stock, especially for loading and unloading. Industrial sidings (also known as spurs) go to factories, mines, quarries, wharves, warehouses, some of them are essentially links to industrial railways. Such sidings can sometimes be found at stations for public use; in American usage these are referred to as team tracks (after the use ...
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Single Track (rail)
A single-track railway is a railway where trains traveling in both directions share the same track. Single track is usually found on lesser-used rail lines, often branch lines, where the level of traffic is not high enough to justify the cost of constructing and maintaining a second track. Advantages and disadvantages Single track is significantly cheaper to build and maintain, but has operational and safety disadvantages. For example, a single-track line that takes 15 minutes to travel through would have capacity for only two trains per hour in each direction safely. By contrast, a double track with signal boxes four minutes apart can allow up to 15 trains per hour in each direction safely, provided all the trains travel at the same speed. This hindrance on the capacity of a single track may be partly overcome by making the track one-way on alternate days, if the single track is not used for public passenger transit. Long freight trains are a problem if the passing s ...
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Mainline (railway)
The main line, or mainline in American English, of a railway is a track that is used for through trains or is the principal artery of the system from which branch lines, yards, sidings and spurs are connected. It generally refers to a route between towns, as opposed to a route providing suburban or metro services. It may also be called a trunk line, for example the Grand Trunk Railway in Canada, the Trunk Line in Norway, and the Trunk Line Bridge No. 237 in the United States. For capacity reasons, main lines in many countries have at least a double track and often contain multiple parallel tracks. Main line tracks are typically operated at higher speeds than branch lines and are generally built and maintained to a higher standard than yards and branch lines. Main lines may also be operated under shared access by a number of railway companies, with sidings and branches operated by private companies or single railway companies. Railway points (UK) or switches (US) are usual ...
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Railroad Engineering
Railway engineering is a multi-faceted engineering discipline dealing with the design, construction and operation of all types of rail transport systems. It encompasses a wide range of engineering disciplines, including civil engineering, computer engineering, electrical engineering, mechanical engineering, industrial engineering and production engineering. A great many other engineering sub-disciplines are also called upon. History With the advent of the railways in the early nineteenth century, a need arose for a specialized group of engineers capable of dealing with the unique problems associated with railway engineering. As the railways expanded and became a major economic force, a great many engineers became involved in the field, probably the most notable in Britain being Richard Trevithick, George Stephenson and Isambard Kingdom Brunel. Today, railway systems engineering continues to be a vibrant field of engineering. Subfields *Mechanical engineering * Command, co ...
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Train Collision
A train wreck, train collision, train accident or train crash is a type of disaster involving one or more trains. Train wrecks often occur as a result of miscommunication, as when a moving train meets another train on the same track; or an accident, such as when a train wheel jumps off a track in a derailment; or when a boiler explosion occurs. Train wrecks have often been widely covered in popular media and in folklore. A head-on collision between two trains is colloquially called a "cornfield meet" in the United States. Train wreck gallery Image:Train wreck in Rainy River District, Ontario (I0002383).tiff, Train wreck in Rainy River District, Ontario in the 1900s. See also *Lists of rail accidents :*List of accidents and disasters by death toll *Classification of railway accidents :*Boiler explosion :* Bridge disaster :*Derailment :* Level crossing crashes :* Runaway :*Signal passed at danger :*Tram accident :*Wrong-side failure *The crash at Crush, Texas, an intentional ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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Passing Loop
A passing loop (UK usage) or passing siding (North America) (also called a crossing loop, crossing place, refuge loop or, colloquially, a hole) is a place on a single line railway or tramway, often located at or near a station, where trains or trams travelling in opposite directions can pass each other. Trains/trams going in the same direction can also overtake, provided that the signalling arrangement allows it. A passing loop is double-ended and connected to the main track at both ends, though a dead end siding known as a refuge siding, which is much less convenient, can be used. A similar arrangement is used on the gauntlet track of cable railways and funiculars, and in passing places on single-track roads. Ideally, the loop should be longer than all trains needing to cross at that point. Unless the loop is of sufficient length to be dynamic, the first train to arrive must stop or move very slowly, while the second to arrive may pass at speed. If one train is too long for ...
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