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Curve formed by a hanging chain
In physics and geometry, a catenary (UK: /kəˈtiːnəri/ kə-TEE-nər-ee, US: /ˈkætənɛri/ KAT-ən-err-ee) is the curve that an idealized hanging chain or cable
Catenary
Cable that provides power to electric railways, trams, and trolleybuses
for the technology is overhead line. It is known variously as overhead catenary, overhead contact line (OCL), overhead contact system (OCS), overhead equipment
Overhead_line
Topics referred to by the same term
Look up catenary in Wiktionary, the free dictionary. Catenary is a mathematical curve. Catenary may also refer to: Catenary arch, an arch that follows
Catenary_(disambiguation)
Type of catenary curve
weighted catenary (also flattened catenary, was defined by William Rankine as transformed catenary and thus sometimes called Rankine curve) is a catenary curve
Weighted_catenary
Architectural pointed arch that follows an inverted catenary curve
A catenary arch is a type of architectural arch that follows an inverted catenary curve. The catenary curve has been employed in buildings since ancient
Catenary_arch
In mathematics, a commutative ring R is catenary if for any pair of prime ideals p, q, any two strictly increasing chains p = p0 ⊂ p1 ⊂ ... ⊂ pn = q of
Catenary_ring
Railroad vehicle used to maintain and inspect overhead line
A catenary maintenance vehicle (also known as a tower wagon or tower car) is a railroad maintenance of way vehicle that is used to maintain and inspect
Catenary_maintenance_vehicle
A steel catenary riser (SCR) is a common method of connecting a subsea pipeline to a deepwater floating or fixed oil production platform. SCRs are used
Steel_catenary_riser
Type of arch shape
the best shape is a catenary. A catenary, in blue, graphed against a parabola, in red Parabola (red) graphed against a catenary (blue), view to simulate
Parabolic_arch
wheel can roll smoothly if the ground consists of evenly shaped inverted catenaries of the right size and curvature. A different type of square-wheeled vehicle
Square_wheel
First single-phase AC railroad electrification
railroads using high-voltage, alternating current, single-phase overhead catenary. It electrified its mainline between Stamford, Connecticut, and Woodlawn
Electrification of the New York, New Haven and Hartford Railroad
Electrification_of_the_New_York,_New_Haven_and_Hartford_Railroad
International Congress of Mathematicians in 1966 (Moscow) The Kolchin Catenary Conjecture is a fundamental open problem in differential algebra related
Kolchin's_problems
Type of bridge
A stressed ribbon bridge (also stress-ribbon bridge or catenary bridge) is a tension structure similar in many ways to a simple suspension bridge. The
Stressed_ribbon_bridge
USCGC Catenary (WYTL-65606) was a cutter in the United States Coast Guard (USCG). Constructed by the Gibbs Gas Engine Company and commissioned in early
USCGC_Catenary
Mathematical curves generated by rolling other curves together
one needs to align more than just the tangents. If the fixed curve is a catenary and the rolling curve is a line, we have: f ( t ) = t + i ( cosh ( t
Roulette_(curve)
Noetherian ring in algebra
and only if it satisfies Nagata's altitude formula. (See also: #formally catenary ring below.) Precisely, a quasi-unmixed ring is a ring in which the unmixed
Quasi-unmixed_ring
Type of bridge
bridge, swing bridge (in New Zealand), suspended bridge, hanging bridge and catenary bridge) is a primitive type of bridge in which the deck of the bridge lies
Simple_suspension_bridge
US National Historic Landmark in St. Louis, Missouri
United States. Clad in stainless steel and built in the form of a weighted catenary arch, it is the world's tallest arch and Missouri's tallest accessible
Gateway_Arch
Catalan architect (1852–1926)
was the catenary arch. He had studied geometry when he was young, absorbing numerous articles about engineering, a field that praised the catenary curve
Antoni_Gaudí
Special case of the Euler–Lagrange equations
A chain hanging from points forms a catenary.
Beltrami_identity
Offshore mooring buoy with connections for loading or unloading tankers
navigation aids or other equipment. A commonly used configuration is the catenary anchor leg mooring (CALM), which can be capable of handling very large
Single_buoy_mooring
Speed record achieved by TGV train
train. These were aerodynamics, traction and electrical systems, rail and catenary contact, braking, and comfort. The basic purpose of the test program was
TGV_world_speed_record
Curve traced by a string as it is unwrapped from another curve
Involute and evolute Tractrix (red) as an involute of a catenary The evolute of a tractrix is a catenary The most common profiles of modern gear teeth are involutes
Involute
Structure on which road signs are mounted
A gantry (also known as a sign holder, road sign holder, sign structure or road sign structure) is a traffic sign assembly in which signs are mounted or
Gantry_(transport)
Rapid transit line in Boston
heavy-rail lines and the only line to have both third rail and overhead catenary sections. The East Boston Tunnel was built as a streetcar tunnel in 1904
Blue_Line_(MBTA)
Regional rail service in India
designed system: a 25 kV flexible overhead catenary system for elevated sections and a rigid overhead catenary system for tunnels. The trains for the service
Namo_Bharat
Surface of revolution of a catenary
In geometry, a catenoid is a type of surface, arising by rotating a catenary curve about an axis (a surface of revolution). It is a minimal surface, meaning
Catenoid
light rail transit systems that use batteries or supercapacitors and run catenary-free as part of their regular operation. "Nanjing's Qilin Line opens to
List of battery operated trams
List_of_battery_operated_trams
is a system whereby a railway line is supplied power both via overhead catenary and a third rail. This is done to enable trains that use either system
Dual_electrification
Inverse relationship between the intensity and duration
density, which J. Halm adopted and modified, leading to the "Kron–Halm catenary equation" or "Kron–Halm–Webb formula" to describe departures from reciprocity
Reciprocity_(photography)
Railroad power system
transformers. Renew 40 miles (64 km) of catenary in Maryland. Renew 18 miles (29 km) of catenary in Pennsylvania. Continue catenary renewal along Hell Gate Line
Amtrak's 25 Hz traction power system
Amtrak's_25_Hz_traction_power_system
Railroad viaduct in Pennsylvania, United States
ultimately fell to brick, although it was very labor-intensive. For the catenary, the typical PRR portal masts were used, which carry traction power lines
West_Philadelphia_Elevated
1965 novel by Norman Mailer
An American Dream is a 1965 novel by American author Norman Mailer. It was published by Dial Press. Mailer wrote it in serialized form for Esquire, consciously
An_American_Dream_(novel)
Family of trams and light rail vehicles
Retrieved 24 February 2016. "Catenary-free trams". CAF. "The CAF Rapid Charge Accumulator: Technology for removing catenary between stations" (PDF). CAF
CAF_Urbos
Railway in the Basque Country, Spain
Lezama Stations 10 History Opened 2 May 1894 Technical Track gauge 1,000 mm (3 ft 3+3⁄8 in) Electrification 1,500 V DC overhead catenary Signalling LZB
Txorierri_line
Under construction rapid transit line in Melbourne, Australia
(4 ft 8+1⁄2 in) standard gauge Electrification 25 kV 50 Hz AC from overhead catenary Operating speed 100 km/h (62 mph) Signalling Alstom Urbalis Forward
Suburban_Rail_Loop_East
Power collection apparatus used by trains and light rail
traction: Mechanical measurements and tests of new catenary (with or without voltage), on a catenary and contact line inspection car; General power supply
Pantograph_(transport)
Mountains in Antarctica
of names in the area associated with surveying applied in 1993 by NZGB; catenary being the curve in which a survey chain hangs when it is suspended between
Quartermain_Mountains
Hyperbolic analogues of trigonometric functions
of many linear differential equations (such as the equation defining a catenary), cubic equations, and Laplace's equation in Cartesian coordinates. Laplace's
Hyperbolic_functions
Mumbai Metro's Yellow Line 2A metro station
Malad West station also uses 25,000 volt AC power system by overhead catenary to operate the trains. "New Parking Facility To Be Introduced Near 5 Metro
Malad_West_metro_station
Former local railway services in the San Francisco Bay Area
double track and electrify its commuter lines. When the construction of catenary over the new lines was complete, Southern Pacific received a new fleet
East_Bay_Electric_Lines
Railroad corridor in the Northeastern United States
Constant-tension catenary is used between Pelham, NY and Boston, MA, as well as for a short section in New Jersey. Most of the catenary south of New York
Northeast_Corridor
Regional rail transport company in Sweden
System length 102.3 km (63.6 mi) Track gauge 1,435 mm (4 ft 8+1⁄2 in) standard gauge Electrification 15 kV 16+2⁄3 Hz AC from overhead catenary System map
Mälardalstrafik
Japanese-designed American streetcar
Roof-mounted duct-type air conditioning Electric systems 750 V DC from overhead catenary Current collection Single-arm pantograph or battery UIC classification
AmeriTram
Museum in Manhattan, New York
for a special tricycle with square wheels, which operates smoothly on a catenary surface. In 2006 the Goudreau Museum on Long Island, at the time the only
National Museum of Mathematics
National_Museum_of_Mathematics
High-speed rail corridor project in India
(4 ft 8+1⁄2 in) standard gauge Electrification 25 kV AC, 50 Hz, overhead catenary Operating speed 350 km/h (220 mph) Route map v t e Legend Chennai Poonamallee
Chennai–Bengaluru high-speed rail corridor
Chennai–Bengaluru_high-speed_rail_corridor
Traditional dwelling used by the Musgum people
(granate houses). They are adobe structures, a variant of cob, and are in the catenary arch form, which can bear maximum weight with the minimum use of building
Musgum_mud_hut
proper loading on the catenary, the control car was built in three sections with universal joints between the sections. The catenary is the webbing internal
M-class_blimp
Metro-North Railroad line in New York and Connecticut
catenary to third rail was moved from Woodlawn to just west of Pelham in the early 1990s; this was done to eliminate the cost of maintaining catenary
New_Haven_Line
Type of bridge
possibly at the same level or hung below the ropes such that the rope had a catenary shape. The Tibetan siddha and bridge-builder Thangtong Gyalpo originated
Suspension_bridge
All Latin and Greek roots beginning with G
catarrhine, catastrophe, catatonia, cathode, cation caten- chain Latin catena catenary, concatenation cathar- pure Greek καθαρός (katharós) catharsis, cathartic
List of Greek and Latin roots in English/A–G
List_of_Greek_and_Latin_roots_in_English/A–G
Chennai Metro's Yellow Line metro station
October 2026) Electrified Single phase 25 kV, 35 Hz AC through overhead catenary Services Preceding station Chennai Metro Following station Poonamallee
Poonamallee Bus Stand metro station
Poonamallee_Bus_Stand_metro_station
Upcoming Chennai Metro's underground interchange metro station
time (December 2028) Electrified Single phase 25 kV, 35 Hz AC through overhead catenary Services Preceding station Chennai Metro Following station Terminus Purple
Madhavaram Milk Colony metro station
Madhavaram_Milk_Colony_metro_station
Railway station in Montreal, Canada
extending south for a distance of about 1,600 metres (5,250 ft). Under catenary wires, they serve as parking for trains on the Deux-Montagnes line during
Montreal_Central_Station
are DC1500V overhead wires. The overhead wires is divided into overhead catenary and overhead conductor rails. Except for the earlier construction of lines
Shanghai_Metro_rolling_stock
Chennai Metro's Yellow Line metro station
October 2026) Electrified Single phase 25 kV, 35 Hz AC through overhead catenary Services Preceding station Chennai Metro Following station Iyyapanthangal
Thelliyaragaram_metro_station
87.3 or 87.7 short tons) (E 44.5) Electric system/s 15 kV 16+2⁄3 Hz AC Catenary Current pickup Pantograph Traction motors nose-suspended, 4 off Head end
DRG_Class_E_44
Topics referred to by the same term
standardized set of protocols and parameters for high speed communication CALM M5 Catenary anchor leg mooring, a type of single buoy mooring for ships Calmness Cam
Calm
Infrastructure for zero-emissions train propulsion
electrification done after 1919 used the same catenary supports used on the Paoli commuter line, but with the catenary being supplied with 100 kV 25 Hz "transmission"
Railroad electrification in the United States
Railroad_electrification_in_the_United_States
South Korean train type
motors 3-phase AC induction motor Electric systems 1,500 V DC overhead catenary Current collection Pantograph Braking systems Regenerative, electromagnetic
Seoul Metro 2000 series (2005)
Seoul_Metro_2000_series_(2005)
Japanese train type
5 km/(h⋅s) (2.8 mph/s) (emergency) Electric systems 1,500 V DC (overhead catenary) Current collection Pantograph Safety system ATC/ATO Track gauge 1,067 mm
Sendai_Subway_3000_series
Type of battery-electric trainsets being manufactured for Metlink Wellington
Wairarapa Line Specifications Electric systems 1,500 V DC (nominal) from overhead catenary Current collection Pantograph Track gauge 1,067 mm (3 ft 6 in)
New Zealand BEMU class electric multiple unit
New_Zealand_BEMU_class_electric_multiple_unit
British poet and writer (born 1970)
recorded and released an album, Sounds Made By Humans, with indiepop band the Catenary Wires. You Took the Last Bus Home (2016) Diary of a Somebody (2019) 50
Brian_Bilston
Subway line in Gyeonggi-do and Seoul, South Korea
Last extension 2010 Technical Line length 57.4 km (35.7 mi) Num of tracks 2 Electrification 1,500 V DC overhead catenary Operating speed 80 km/h (50 mph)
Seoul_Subway_Line_3
German Bo-Bo electric locomotive
83 t (82 long tons; 91 short tons) Electric system/s 15 kV 16.7 Hz AC Catenary Current pickup Pantograph Traction motors 4FIA 7067 Train brakes KE-GPR
DB_Class_101
Branch of civil engineering dealing with man-made structures
number of different types of elements: Columns Beams Plates Arches Shells Catenaries Many of these elements can be classified according to form (straight,
Structural_engineering
List of Metro-North rolling stock
locomotives will be powered using both AC Pantographs to operate under catenary and battery power, which is a modification to Siemens' existing design
Metro-North Railroad rolling stock
Metro-North_Railroad_rolling_stock
Approved mass rapid transit line of Dhaka Metro Rail
standard gauge Electrification 750 V DC third rail and 1,500 V DC overhead catenary Operating speed 100 km/h (62 mph) Highest elevation 13 metres (43 ft) Route
MRT_Line_4_(Dhaka_Metro_Rail)
Curve traced by a point on a rod as one end is dragged along a line
rolling (without skidding) on a straight line. It is the involute of the catenary function, which describes a fully flexible, inelastic, homogeneous string
Tractrix
Rail line
435 mm (4 ft 8+1⁄2 in) standard gauge Electrification 8000 V 15 Hz AC overhead catenary (1910–1949) 15 kV 16.7 Hz AC overhead catenary (1949–present)
Martigny–Orsières railway line
Martigny–Orsières_railway_line
U.S. national park in St. Louis, Missouri
Dred Scott case. The national park consists of the Gateway Arch, a steel catenary arch that has become the definitive icon of St. Louis; a park along the
Gateway_Arch_National_Park
Scientific principles enabling the use of the calculus of variations
problem of determining the shape of a hanging chain suspended at both ends—a catenary—can be solved using variational calculus, and in this case, the variational
Variational_principle
Electric commuter train
since 2010. The 22000 series EMUs are powered by 25 kV AC via overhead catenary. Each 3 car set cost €3.7 million each. "IZBAN E22000". Trains of Turkey
IZBAN_E22000
British singer, songwriter, guitarist, and economist
Talulah Gosh, Heavenly, Marine Research, Tender Trap, and, since 2014, The Catenary Wires. In 2020, she began a new band, Swansea Sound, with The Pooh Sticks's
Amelia_Fletcher
Class of electro-diesel railway locomotives in Great Britain
regenerative braking, up to 4 MW of power may be returned to the OHLE via the catenary. For electricity generation while operating under diesel power, the engine
British_Rail_Class_88
Railway line in Japan
Technical Line length 4.2 km (2.6 mi) Track gauge 1,067 mm (3 ft 6 in) Electrification 1,500 V DC, overhead catenary Operating speed 120 km/h (75 mph)
Meitetsu_Airport_Line
RapidX's Delhi–Meerut RRTS station
years ago (21 October 2023) Electrified 25 kV 50 Hz AC through overhead catenary Services Preceding station Namo Bharat Following station Anand Vihar towards
Sahibabad_RRTS_station
Anglican cathedral in London, England
extent than had been done by Michelangelo at St Peter's, drafting both as catenary curves, rather than as hemispheres. Between the inner and outer domes,
St_Paul's_Cathedral
generally been produced by other methods of construction. Catenary vault A barrel vault of catenary profile; see also parabolic vault Cloister vault A vault
List of architectural vault types
List_of_architectural_vault_types
Suspension bridge in Italy
The catenary suspension bridge of Real Ferdinando or the Ferdinandeo Bridge over the River Garigliano was the first iron catenary suspension bridge built
Real_Ferdinando_Bridge
Chennai Metro's Yellow Line metro station
October 2026) Electrified Single phase 25 kV, 35 Hz AC through overhead catenary Services Preceding station Chennai Metro Following station Porur Bypass
Porur_Junction_metro_station
SEPTA Regional Rail service
by the PRR's trademark bowtie catenary poles,[clarification needed] while single-track areas used single-pole catenary supports.[citation needed] After
Media/Wawa_Line
Passenger train
and practice runs in the Pacific Northwest. On May 28, 2026, the first catenary-diesel, dual-mode trainset for the Northeast Regional was completed. Service
Amtrak_Airo
RapidX's Delhi–Meerut terminal RRTS cum Meerut Metro station
8 months ago (2026-02-22) Electrified 25 kV 50 Hz AC through overhead catenary Services Preceding station Namo Bharat Following station Begumpul towards
Modipuram_RRTS_station
Rail line
construction work is going on. The track has since been replaced, but the catenary is still missing. Between Pichling and Ebelsberg a large section of the
Florianerbahn
Rail car operating in the Northeast U.S.
Pelham, where the traction power source is transferred to the overhead catenary wire. The overhead wire is at a nominal 12.5 kV AC (60 Hz) power from overhead
M8_(railcar)
Metro system in Cairo, Egypt
Underground and At-grade street running Track gauge 1,435 mm (4 ft 8+1⁄2 in) Electrification Overhead catenary (1.5 kV DC) Operating speed 100 km/h (62 mph)
Cairo_Metro_Line_1
its peak the railroad was 87 miles (140 km) in length and employed steel catenary bridges over much of the line to support the trolley wire. The railroad
Rochester, Syracuse and Eastern Rapid Railroad
Rochester,_Syracuse_and_Eastern_Rapid_Railroad
Electric trainset on Turkish railways
speed Service: 160 km/h (100 mph) Design: 176 km/h (110 mph) Axle load <18t Electric system 25 kV 50 Hz AC Catenary Track gauge 1,435 mm (4 ft 8+1⁄2 in)
TCDD_E44000
Chinese high-speed train model
(Zhuzhou CRRC Times Electric) Electric system 25 kV 50 Hz AC Overhead catenary Current collection Pantograph Track gauge 1,435 mm (4 ft 8+1⁄2 in) standard
China_Railway_CR400AF
Furnace for clay products
flues outside the oven. Catenary arch kiln: Typically used for the firing of pottery using salt, these by their form (a catenary arch) tend to retain their
Kiln
Mumbai Metro's Red Line 7 terminal metro station
metro, Gundavali station also uses 25,000 volt AC power system by overhead catenary to operate the trains. Mumbai Metro at Gundavali Station Gundavali metro
Gundavali_metro_station
Type of Transperth train
865 m/s2 (2.84 ft/s2) Electric system 25 kV 50 Hz AC (nominal) from overhead catenary Current collection Pantograph UIC classification Bo′Bo′+2′2′+Bo′Bo′+Bo′Bo′+2′2′+Bo′Bo′
Transperth_C-series_train
Commuter rail line in New Jersey
Long Branch in 1988, with catenary installed in 1986–88. As on the 1982 extension, the insulators can handle 25 kV. The catenary is self-adjusting (constant
North_Jersey_Coast_Line
Metro station in Dhaka
History Opened 5 November 2023 (2023-11-05) Electrified 1,500 V DC overhead catenary Services Preceding station Dhaka Metro Following station Dilkusha Road
Motijheel_metro_station
Railway bridge connecting Pamban Island to mainland India
characteristics No. of tracks 1 Track gauge Broad gauge Electrified Rigid Overhead Catenary System History Construction start August 1911 Construction end February
Pamban_Bridge
Railway in Switzerland
subject to heavy winter snowfall and occasional avalanches, the overhead catenary on this section is dismantled after the last train of the year, and reinstated
Schynige_Platte_Railway
Pune Metro's Purple Line metro station
29 September 2024; 2 years ago (2024-09-29) Electrified 25 kV 50 Hz AC overhead catenary Services Preceding station Pune Metro Following station Mahatma Phule Mandai
Swargate_metro_station
Rapid transit line in Ho Chi Minh City, Vietnam
(4 ft 8+1⁄2 in) standard gauge Electrification 1,500 V DC from overhead catenary Operating speed 110 km/h (68 mph) elevated 80 km/h (50 mph) underground
Line 1 (Ho Chi Minh City Metro)
Line_1_(Ho_Chi_Minh_City_Metro)
Trainset used on the Acela, Amtrak's high-speed Northeast Corridor service
is the overhead catenary support system which was constructed before 1935 and lacks the constant-tension features of the new catenary east of New Haven
Acela_Express_(trainset)
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