47-400: The Skitube Alpine Railway is an Australian standard gauge electric rack railway in the Kosciuszko National Park in New South Wales . It provides access to the snowfields at Blue Cow Mountain and the Perisher Valley . In the 1980s, development of the Thredbo and Perisher Valley skifields was increasing, but the mountain road providing access to them was limited. In 1980
94-600: A NVMF bogie wagon . A 1958 Tulloch Limited built locomotive was also purchased. The trains of the Skitube operate on the Lamella rack system , which was developed by Von Roll Holding . 36°22′S 148°24′E / 36.367°S 148.400°E / -36.367; 148.400 Standard gauge A standard-gauge railway is a railway with a track gauge of 1,435 mm ( 4 ft 8 + 1 ⁄ 2 in ). The standard gauge
141-538: A code point in Unicode at U+2300 ⌀ DIAMETER SIGN , in the Miscellaneous Technical set. It should not be confused with several other characters (such as U+00D8 Ø LATIN CAPITAL LETTER O WITH STROKE or U+2205 ∅ EMPTY SET ) that resemble it but have unrelated meanings. It has the compose sequence Compose d i . The diameter of
188-673: A hypercube or a set of scattered points. The diameter or metric diameter of a subset of a metric space is the least upper bound of the set of all distances between pairs of points in the subset. Explicitly, if S {\displaystyle S} is the subset and if ρ {\displaystyle \rho } is the metric , the diameter is diam ( S ) = sup x , y ∈ S ρ ( x , y ) . {\displaystyle \operatorname {diam} (S)=\sup _{x,y\in S}\rho (x,y).} If
235-649: A country (for example, 1,440 mm or 4 ft 8 + 11 ⁄ 16 in to 1,445 mm or 4 ft 8 + 7 ⁄ 8 in in France). The first tracks in Austria and in the Netherlands had other gauges ( 1,000 mm or 3 ft 3 + 3 ⁄ 8 in in Austria for the Donau Moldau line and 1,945 mm or 6 ft 4 + 9 ⁄ 16 in in
282-480: A diameter is also called the diameter. In this sense one speaks of the diameter rather than a diameter (which refers to the line segment itself), because all diameters of a circle or sphere have the same length, this being twice the radius r . {\displaystyle r.} For a convex shape in the plane , the diameter is defined to be the largest distance that can be formed between two opposite parallel lines tangent to its boundary, and
329-551: A large, three-sided station with extensive parking, a pass office, a ski and snowboard school, information desk, kiosk, souvenir shop, and ski and snowboard hire shop. This allows day trippers to get tickets and equipment and be loaded for the 10-minute journey to the Perisher Valley station, and a further 7 minutes to Blue Cow. It is adjacent to the Lake Crackenback Resort. The majority of the railway
376-510: A standard gauge of 4 ft 8 + 1 ⁄ 2 in ( 1,435 mm ), and those in Ireland to a new standard gauge of 5 ft 3 in ( 1,600 mm ). In Great Britain, Stephenson's gauge was chosen on the grounds that existing lines of this gauge were eight times longer than those of the rival 7 ft or 2,134 mm (later 7 ft 1 ⁄ 4 in or 2,140 mm ) gauge adopted principally by
423-654: Is also called Stephenson gauge (after George Stephenson ), international gauge , UIC gauge , uniform gauge , normal gauge in Europe, and SGR in East Africa. It is the most widely used track gauge around the world, with about 55% of the lines in the world using it. All high-speed rail lines use standard gauge except those in Russia , Finland , Uzbekistan , and some line sections in Spain . The distance between
470-461: Is any chord passing through the centre of the ellipse. For example, conjugate diameters have the property that a tangent line to the ellipse at the endpoint of one diameter is parallel to the conjugate diameter. The longest diameter is called the major axis . The word "diameter" is derived from Ancient Greek : διάμετρος ( diametros ), "diameter of a circle", from διά ( dia ), "across, through" and μέτρον ( metron ), "measure". It
517-766: Is currently operated by the Ghana Railway Company Limited . Kojokrom-Sekondi Railway Line (The Kojokrom-Sekondi line is a branch line that joins the Western Railway Line at Kojokrom ) Indian nationwide rail system ( Indian Railways ) uses 1,676 mm ( 5 ft 6 in ) broad gauge. 96% of the broad gauge network is electrified. The railway tracks of Java and Sumatra use 1,067 mm ( 3 ft 6 in ). Planned and under construction high-speed railways to use 1,668 mm ( 5 ft 5 + 21 ⁄ 32 in ) to maintain interoperability with
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#1732779513887564-545: Is enclosed by a tall electric fence and also houses a diesel tractor used for shunting. A small goods wagon is also used to transport rubbish and other freight from the Blue Cow terminal, as it has no road access in the winter months. An off-peak schedule is run in early to late June and mid to late September, either side of the peak July–September ski season . Trains run between 05:00 and 01:00, allowing for après-ski activities or night skiing. The Bullocks Flat terminus has
611-496: Is located before entering the tunnel, which climbs on a 12.5% gradient to the Perisher Valley terminal. A provision for a second 300-metre-long passing loop has been made inside the tunnel. To Blue Cow the line first drops downgrade, then climbs 1.3 kilometres on a 3% gradient, then climbs at 12.5% to the terminus. The railway reaches a maximum elevation of 1,905 metres above sea level at Mount Blue Cow station. The workshops include two sidings carriages to be stabled in. The stabling yard
658-477: Is often abbreviated DIA , dia , d , {\displaystyle {\text{DIA}},{\text{dia}},d,} or ∅ . {\displaystyle \varnothing .} The definitions given above are only valid for circles, spheres and convex shapes. However, they are special cases of a more general definition that is valid for any kind of n {\displaystyle n} -dimensional (convex or non-convex) object, such as
705-446: Is the same as the diameter of its convex hull . In medical terminology concerning a lesion or in geology concerning a rock, the diameter of an object is the least upper bound of the set of all distances between pairs of points in the object. In differential geometry , the diameter is an important global Riemannian invariant . In planar geometry , a diameter of a conic section is typically defined as any chord which passes through
752-621: Is underground, comprising the Bilston and Blue Cow tunnels, 3.3 km (2.1 mi) and 2.6 km (1.6 mi) long respectively. The depth of the tunnels varies from between 4 and 550 m (13 and 1,804 ft), and their diameter between 5 and 5.5 m (16 and 18 ft). 30 kg/m (60.5 lb/yd) second-hand rail from the State Rail Authority was used to build the line, and two electrical substations are fed with 33 kV power, and output 1.5 kV DC for
799-454: The width is often defined to be the smallest such distance. Both quantities can be calculated efficiently using rotating calipers . For a curve of constant width such as the Reuleaux triangle , the width and diameter are the same because all such pairs of parallel tangent lines have the same distance. For an ellipse , the standard terminology is different. A diameter of an ellipse
846-608: The Liverpool and Manchester Railway , authorised in 1826 and opened 30 September 1830. The extra half inch was not regarded at first as very significant, and some early trains ran on both gauges daily without compromising safety. The success of this project led to Stephenson and his son Robert being employed to engineer several other larger railway projects. Thus the 4 ft 8 + 1 ⁄ 2 in ( 1,435 mm ) gauge became widespread and dominant in Britain. Robert
893-471: The National Parks & Wildlife Service proposed the establishment of a day visitors resort at Blue Cow Mountain , which would increase the traffic demands. A number of transport modes were examined, including a funicular railway , chairlift , and an aerial gondola , but all were of limited capacity, affected by weather, and would scar the mountainsides. A rack and pinion railway was found to be
940-527: The Perisher Blue ski resort sites of Perisher Valley and Blue Cow Mountain . The Skitube passes through two tunnels and has three stations, two of which are underground. The terminal at Bullocks Flat has parking facilities for 3,500 cars and 250 coaches, as well as passenger, administrative and control facilities. The line begins at an elevation of 1,125 metres and runs above ground for 2.6 kilometres, 150-metre-long steel curved viaduct. A passing loop
987-478: The conic's centre ; such diameters are not necessarily of uniform length, except in the case of the circle, which has eccentricity e = 0. {\displaystyle e=0.} The symbol or variable for diameter, ⌀ , is sometimes used in technical drawings or specifications as a prefix or suffix for a number (e.g. "⌀ 55 mm"), indicating that it represents diameter. Photographic filter thread sizes are often denoted in this way. The symbol has
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#17327795138871034-913: The Great Western Railway. It allowed the broad-gauge companies in Great Britain to continue with their tracks and expand their networks within the "Limits of Deviation" and the exceptions defined in the Act. After an intervening period of mixed-gauge operation (tracks were laid with three rails), the Great Western Railway finally completed the conversion of its network to standard gauge in 1892. In North East England, some early lines in colliery ( coal mining ) areas were 4 ft 8 in ( 1,422 mm ), while in Scotland some early lines were 4 ft 6 in ( 1,372 mm ). The British gauges converged starting from 1846 as
1081-647: The Netherlands for the Hollandsche IJzeren Spoorweg-Maatschappij ), but for interoperability reasons (the first rail service between Paris and Berlin began in 1849, first Chaix timetable) Germany adopted standard gauges, as did most other European countries. The modern method of measuring rail gauge was agreed in the first Berne rail convention of 1886. Several lines were initially built as standard gauge but were later converted to another gauge for cost or for compatibility reasons. 2,295 km (1,426 mi) Victoria built
1128-645: The advantages of equipment interchange became increasingly apparent. By the 1890s, the entire network was converted to standard gauge. The Royal Commission made no comment about small lines narrower than standard gauge (to be called "narrow gauge"), such as the Ffestiniog Railway . Thus it permitted a future multiplicity of narrow gauges in the UK. It also made no comments about future gauges in British colonies, which allowed various gauges to be adopted across
1175-426: The best option, running mostly underground. The Perisher Skitube Joint Venture was established, with Transfield and Kumagai Gumi each holding a 49% share. The main proponent of the scheme, Canberra engineer Ken Bilston, held the remaining 2% share and was technical manager for the project. Feasibility studies commenced in 1982 for a double track railway on the assumption that the road would close in winter, but this
1222-483: The coal mines of County Durham . He favoured 4 ft 8 in ( 1,422 mm ) for wagonways in Northumberland and Durham , and used it on his Killingworth line. The Hetton and Springwell wagonways also used this gauge. Stephenson's Stockton and Darlington railway (S&DR) was built primarily to transport coal from mines near Shildon to the port at Stockton-on-Tees . Opening in 1825,
1269-597: The colonies. Parts of the United States, mainly in the Northeast, adopted the same gauge, because some early trains were purchased from Britain. The American gauges converged, as the advantages of equipment interchange became increasingly apparent. Notably, all the 5 ft ( 1,524 mm ) broad gauge track in the South was converted to "almost standard" gauge 4 ft 9 in ( 1,448 mm ) over
1316-459: The course of two days beginning on 31 May 1886. See Track gauge in the United States . In continental Europe, France and Belgium adopted a 1,500 mm ( 4 ft 11 + 1 ⁄ 16 in ) gauge (measured between the midpoints of each rail's profile ) for their early railways. The gauge between the interior edges of the rails (the measurement adopted from 1844) differed slightly between countries, and even between networks within
1363-414: The empty set as a special case, assigning it a diameter of 0 , {\displaystyle 0,} which corresponds to taking the codomain of ρ {\displaystyle \rho } to be the set of nonnegative reals. For any solid object or set of scattered points in n {\displaystyle n} -dimensional Euclidean space , the diameter of the object or set
1410-740: The first railways to the 5 ft 3 in ( 1,600 mm ) Irish broad gauge. New South Wales then built to the standard gauge, so trains had to stop on the border and passengers transferred, which was only rectified in the 1960s. Queensland still runs on a narrow gauge but there is a standard gauge line from NSW to Brisbane. NMBS/SNCB 3,619 km (2,249 mi) Brussels Metro 40 km (25 mi) Trams in Brussels 140 km (87 mi) 1,032 km (641 mi) The Toronto Transit Commission uses 4 ft 10 + 7 ⁄ 8 in ( 1,495 mm ) gauge on its streetcar and subway lines. Takoradi to Sekondi Route,
1457-429: The initial gauge of 4 ft 8 in ( 1,422 mm ) was set to accommodate the existing gauge of hundreds of horse-drawn chaldron wagons that were already in use on the wagonways in the mines. The railway used this gauge for 15 years before a change was made, debuting around 1850, to the 1,435 mm ( 4 ft 8 + 1 ⁄ 2 in ) gauge. The historic Mount Washington Cog Railway ,
Skitube Alpine Railway - Misplaced Pages Continue
1504-534: The inner sides of the rails) to be used. Different railways used different gauges, and where rails of different gauge met – a " gauge break " – loads had to be unloaded from one set of rail cars and reloaded onto another, a time-consuming and expensive process. The result was the adoption throughout a large part of the world of a "standard gauge" of 1,435 mm ( 4 ft 8 + 1 ⁄ 2 in ), allowing interconnectivity and interoperability. A popular legend that has circulated since at least 1937 traces
1551-400: The inside edges of the rails is defined to be 1,435 mm except in the United States, Canada, and on some heritage British lines, where it is defined in U.S. customary / Imperial units as exactly "four feet eight and one half inches", which is equivalent to 1,435.1 mm. As railways developed and expanded, one of the key issues was the track gauge (the distance, or width, between
1598-469: The metric ρ {\displaystyle \rho } is viewed here as having codomain R {\displaystyle \mathbb {R} } (the set of all real numbers ), this implies that the diameter of the empty set (the case S = ∅ {\displaystyle S=\varnothing } ) equals − ∞ {\displaystyle -\infty } ( negative infinity ). Some authors prefer to treat
1645-478: The most powerful rack railcars in the world. The braking system is mixed regenerative and rheostatic . The train is capable of 40 km/h (25 mph), however this is limited during the downhill journey to 21 km/h (13 mph). Two four-wheel 'S' open wagons were acquired from the State Rail Authority for freight traffic, and have been cut down to flat wagons . These were replaced by
1692-505: The origin of the 1,435 mm ( 4 ft 8 + 1 ⁄ 2 in ) gauge even further back than the coalfields of northern England, pointing to the evidence of rutted roads marked by chariot wheels dating from the Roman Empire . Snopes categorised this legend as "false", but commented that it "is perhaps more fairly labeled as 'Partly true, but for trivial and unremarkable reasons. ' " The historical tendency to place
1739-405: The outermost portions of the wheel rims, it became apparent that for vehicles travelling on rails, having main wheel flanges that fit inside the rails is better, thus the minimum distance between the wheels (and, by extension, the inside faces of the rail heads ) was the important one. A standard gauge for horse railways never existed, but rough groupings were used; in the north of England none
1786-555: The overhead wiring. To operate the service 11 carriages were built by Comeng , Granville and Fuji Heavy Industries . Each is 16.8 m (55 ft 1 + 3 ⁄ 8 in) long and 3.8 m (12 ft 5 + 5 ⁄ 8 in) wide, and can carry 225 passengers. This provides for the movement of around 4,500 people per hour. Eleven passenger cars in total were built, 4 motor cars , 4 driving trailers and 3 non driving trailers. The motor cars each have four 301 kW (404 hp) traction motors , making them perhaps
1833-411: The rest of the network. All other railways use 1,668 mm ( 5 ft 5 + 21 ⁄ 32 in ) ( broad gauge ) and/or 1,000 mm ( 3 ft 3 + 3 ⁄ 8 in ) metre gauge . BLS , Rigi Railways (rack railway) 449 km Several states in the United States had laws requiring road vehicles to have a consistent gauge to allow them to follow ruts in
1880-449: The road. Those gauges were similar to railway standard gauge. Diameter In geometry , a diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle. Both definitions are also valid for the diameter of a sphere . In more modern usage, the length d {\displaystyle d} of
1927-485: The rolling stock, overhead wiring, sub-stations, communications and signalling. The 5.9 kilometre line opened from Bullocks Flat to Perisher on 26 July 1987 with the entire line opened through to Blue Cow on 31 March 1988. In October 2016, Stadler Rail commenced an upgrade of the line. It was to be completed by April 2017. The Swiss-designed railway provides easy access between the Alpine Way at Bullocks Flat and
Skitube Alpine Railway - Misplaced Pages Continue
1974-492: The term "narrow gauge" for gauges less than standard did not arise for many years, until the first such locomotive-hauled passenger railway, the Ffestiniog Railway , was built. In 1845, in the United Kingdom of Great Britain and Ireland , a Royal Commission on Railway Gauges reported in favour of a standard gauge. The subsequent Gauge Act ruled that new passenger-carrying railways in Great Britain should be built to
2021-434: The wheels of horse-drawn vehicles around 5 ft ( 1,524 mm ) apart probably derives from the width needed to fit a carthorse in between the shafts. Research, however, has been undertaken to support the hypothesis that "the origin of the standard gauge of the railway might result from an interval of wheel ruts of prehistoric ancient carriages". In addition, while road-travelling vehicles are typically measured from
2068-426: The world's first mountain -climbing rack railway , is still in operation in the 21st century, and has used the earlier 4 ft 8 in ( 1,422 mm ) gauge since its inauguration in 1868. George Stephenson introduced the 1,435 mm ( 4 ft 8 + 1 ⁄ 2 in ) gauge (including a belated extra 1 ⁄ 2 in (13 mm) of free movement to reduce binding on curves ) for
2115-569: Was altered to a single track line with passing loops when the closure was ruled out. Construction commenced in October 1984, with tunnelling beginning in June 1985. The 3.3 km Bilston Tunnel was constructed using a 5.5-metre (18 ft) tunnel boring machine , while the 2.6 kilometre Blue Cow tunnel was constructed using the traditional "drill and blast" method. A consortium of Swiss and Australian companies ( SLM , BBC , and Comeng ) provided
2162-784: Was less than 4 ft ( 1,219 mm ). Wylam colliery's system, built before 1763, was 5 ft ( 1,524 mm ), as was John Blenkinsop 's Middleton Railway ; the old 4 ft ( 1,219 mm ) plateway was relaid to 5 ft ( 1,524 mm ) so that Blenkinsop's engine could be used. Others were 4 ft 4 in ( 1,321 mm ) (in Beamish ) or 4 ft 7 + 1 ⁄ 2 in ( 1,410 mm ) (in Bigges Main (in Wallsend ), Kenton , and Coxlodge ). English railway pioneer George Stephenson spent much of his early engineering career working for
2209-605: Was reported to have said that if he had had a second chance to choose a gauge, he would have chosen one wider than 4 ft 8 + 1 ⁄ 2 in ( 1,435 mm ). "I would take a few inches more, but a very few". During the " gauge war " with the Great Western Railway , standard gauge was called " narrow gauge ", in contrast to the Great Western's 7 ft 1 ⁄ 4 in ( 2,140 mm ) broad gauge . The modern use of
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