Explainers
How trains work
The physics that moves a train, from coal and steam to 25,000 volts. How a train gets round a bend without steering, why rails buckle in a heatwave, and why a fast train needs most of a mile to stop.
Colours in the figures:fresh steamused steamelectric currentcurrent sent back by brakingmovement and sound
1
From steam to electric
Every train turns stored energy into turning wheels. What changed over two centuries is where the energy is kept and how well it's used. A steam engine burns its fuel on board and wastes most of it as heat. A diesel-electric also burns fuel on board, but far more efficiently, and uses electricity to get the power to the wheels. An electric train carries no fuel at all: it takes its power from the line.
- Steam1804Trevithick's locomotive hauls a train at Penydarren, in South Wales.
- Steam1825The Stockton and Darlington Railway opens: the first public railway to use steam locomotives.
- Steam1863The Metropolitan Railway opens under London: the world's first underground railway, worked by steam.
- Electric1890The City and South London Railway opens: the first deep-level tube, worked by electric trains from the start.
- Electric1920s–30sThe Southern Railway electrifies its suburban lines with a third rail.
- Diesel1955British Railways' Modernisation Plan sets out to replace steam with diesel and electric trains.
- Diesel1968British Railways runs its last steam passenger trains.
- Diesel1976The High Speed Train enters service, and diesel trains reach 125 mph (201 km/h) in everyday running.
- Electric2007High Speed 1 opens in full, and trains from St Pancras run at up to 186 mph (299 km/h).
How much of the fuel's energy reaches the rails
Steam: about 8% of the coal's energy reaches the cylinders, and three-quarters of that the drawbar, for engines from 1930 on. Diesel: today's figure; in 1960 it was about 23%. Both from a 2024 study of the world's railways (Tostes and others, Applied Energy). *The electric train's figure is an estimate, counted from the wire: the same study takes 90% from the motors to the wheels, but no source read gives one figure for the whole train. Power stations and the grid lose some energy before it reaches the wire, but an electric train also gets some back: it can return power to the line when it brakes.
2
Steam: fire, water and a piston
A steam locomotive is a boiler on wheels. A coal fire heats water until it boils, and the steam, trapped and under pressure, pushes a piston. Rods turn the piston's back-and-forth push into the turning of the wheels. The engine below is a Metropolitan Railway A Class tank engine, cut open. The Metropolitan opened in 1863 with borrowed engines; the A Class, from 1864, were its own.
- Coal burns in the firebox.
- Hot gases run through tubes in the boiler and boil the water round them.
- Steam collects at the top, above the water. The driver's regulator, in the dome, lets it along a pipe to the cylinder.
- A slide valve above the cylinder, pushed to and fro by an eccentric on the axle, sends steam to one end and lets the used steam out of the other, then swaps. So steam pushes the piston one way, then back, and rods turn the wheels.
- The used steam blasts up the chimney. This draws air through the fire, making it burn hotter, and gives the "chuff".
Most of the heat goes up the chimney or warms the air, which is why a steam engine turns less than a tenth of its coal's energy into pulling power. It also needs hours to raise steam, regular stops for water, and a fireman shovelling tonnes of coal.
3
Diesel-electric: a power station on wheels
The figure below is a Class 68, built in Valencia from 2013, first by Vossloh España and later by Stadler, which took the works over, and used on both passenger and freight trains. A diesel engine is far more efficient than steam, but it has a weakness: it can't pull from a standstill, and it gives its best power only over a narrow range of speeds. A car gets round this with a clutch and gearbox. A gearbox for a Class 68's 2,800 kilowatts (about 3,750 horsepower) would be enormous, so most diesel locomotives don't use one. Instead, the engine turns a generator, and the electricity drives motors on the axles. An electric motor pulls hardest from a standstill and needs no gear changes.
- The fuel tank hangs under the frame.
- The diesel engine: a Caterpillar V16, with eight cylinders on each side. One side's eight are drawn.
- The engine turns a generator (an alternator), which makes electricity.
- Power electronics turn the generator's alternating current (AC) into direct current (DC), then back into AC at whatever frequency the motors need, which sets their speed and force.
- A traction motor turns each of the four axles.
Most of Britain's diesel multiple units (the Sprinters and most Turbostars, for example) use a hydraulic transmission instead: a torque converter, in which oil driven by the engine turns the output, takes the place of the generator and motors. Some, like the Class 172 Turbostar, have a mechanical gearbox, as a car does. Bi-mode trains carry both a diesel engine and a pantograph, and use whichever the line allows.
4
Electric: power from the line
The figure below shows two cars of a Class 387 Electrostar, a four-car electric unit built to run on both overhead wires and third rail. An electric train carries no engine and no fuel. It collects electricity from a wire overhead or a rail beside the track, and its motors turn the wheels. With no engine to carry, it's lighter for its power, so it can accelerate harder. And when it brakes, its motors can work as generators and send power back into the line for other trains to use.
- The contact wire carries 25,000 volts AC, held level by a catenary wire above it.
- The pantograph, on one car of the four, is pressed up against the wire.
- A transformer under the same car steps the voltage down, and a cable carries the power along the train.
- Power electronics under each motor car turn the AC into DC and back into AC at the frequency the motors need, which sets their speed and force.
- Traction motors turn the motor cars' axles.
- The current returns through the wheels and rails to the substation.
5
Third rail or overhead line?
Britain uses two main systems. South of London and on Merseyside, trains collect 750 volts DC from a third rail beside the track. Most other electrified main lines, and High Speed 1, use 25,000 volts AC from an overhead wire, and High Speed 2 will too. The Underground has a fourth rail as well, between the running rails, so that the return current doesn't stray into tunnel linings.
Why the voltage matters
Power is voltage times current. A third rail's 750 volts is about a thirtieth of 25,000, so for the same power it must carry about 33 times the current. The heat lost in a conductor grows with the square of the current. So a third rail has to be a heavy conductor, and it needs far more substations to feed it than an overhead line does.
| Third rail | Overhead line | |
|---|---|---|
| Supply | 750 V DC (630 V on the Underground's four-rail system) | 25,000 V AC at 50 Hz |
| Where | South London, Kent, Sussex, Surrey, Hampshire, Dorset; Merseyrail | The West Coast and East Coast main lines, the south end of the Midland, Great Western to Cardiff, Anglia, Scotland's central belt, HS1, and HS2 when it opens |
| Top speed | About 100 mph (161 km/h) at most: the shoe strikes the ramps at each gap | 125 mph (201 km/h) on the main lines; 186 mph (299 km/h) on HS1 |
| Cost to build | Cheaper: no masts, and bridges and tunnels need no rebuilding for clearance | Dearer: masts, wires, and often raising bridges |
| Safety | Live at ground level: dangerous to anyone on the track | Out of reach, but deadly if touched or approached |
| Weather | Ice on the rail stops current reaching the train; heaters help | Wind and heat can bring wires down or make them sag |
| Gaps | Breaks at junctions and crossings; a short train can stall on a gap | Continuous, with short neutral sections between supplies |
6
Going round bends
A train has no steering wheel, and its wheels are fixed to a solid axle, so both turn at the same rate. Yet on a bend the outer rail is longer than the inner one. The trick is in the shape of the wheels. Their treads aren't flat but slightly coned: larger in diameter next to the flange, smaller towards the outside.
On a bend the wheelset drifts outwards. The outer wheel then rolls on a larger part of its cone, so it travels further with each turn, and the inner wheel rolls on a smaller part. The axle steers itself round the curve.
Each wheel also has a flange: a lip on its inner edge, which runs just inside the rail. If the wheelset slides too far sideways, on a very tight curve or through a set of points, the flange presses against the side of the rail and holds the train on the track. Normally the coned treads keep the flanges clear, so they're a safety net rather than the steering.
Cant: leaning into the curve
To keep passengers comfortable and the load even on both rails, the outer rail on a curve is raised. This is cant (a road engineer would call it banking). At just the right speed, the push outwards and gravity add up to a force straight down through the floor, and you feel nothing. Go faster and you feel pushed outwards: the shortfall is called cant deficiency. Tilting trains lean their bodies further in, so they can take curves faster.
7
Rails in heat and cold
Steel grows as it warms. A 60-foot rail gets about a fifth of a millimetre longer for every degree, and in summer sun a rail can be far hotter than the air. Older track was laid in short lengths bolted together with fishplates, leaving a small gap at each joint so the rails had room to grow. Wheels crossing those gaps make the clickety-clack.
Most main lines now use continuous welded rail: lengths welded into one rail that can run for miles. It has no room to grow, so it's held down hard by concrete sleepers, clips and ballast, and the heat becomes force instead. To keep that force manageable, the rail is stretched as it's laid so that it's under no stress at about 27 °C. Colder than that, it's being pulled; hotter, it's being squeezed. Too hot, and it can buckle sideways. On the hottest days, speed limits are imposed until the rails cool, and some rails are painted white to keep them cooler.
8
Why wheels are sometimes noisy
A train running on smooth, welded track is quiet. Most of the noise you hear comes from something being slightly wrong at the point where the wheel meets the rail.
- Clickety-clack: wheels crossing the gaps at the joints of older, jointed track. The sound comes in pairs because a bogie has two axles. Welded track has no joints, so no clacks.
- Squeal on tight curves: on a sharp bend the coned treads can't make up the whole difference between the inner and outer rails, and a bogie's two axles, fixed parallel, can't both line up with the curve. The wheels are dragged sideways across the railhead in a fast stick-slip, and a wheel, usually the leading inner one, rings at one of its own notes, high and piercing. The leading outer wheel's flange rubs the rail and adds a hiss. You hear it most on tight curves. Treating the rail head or lubricating the flange quietens it.
- A rhythmic thump: a wheel that has slid under braking, often on leaves, wears a flat spot. It bangs once a turn until the wheel is reprofiled on a wheel lathe.
- A roar: corrugation, ripples worn into the top of the rail. Grinding trains smooth them away.
- Brake squeal as the brake pads or blocks grip.
9
Leaves on the line
It sounds like an excuse, but it's real physics. Wet leaves that fall on the line are crushed by passing wheels into a thin black film that bakes onto the rail. It's slippery as ice: a wheel can lose almost all its grip. Braking trains slide past platforms and signals, and starting trains spin their wheels. The film can even insulate the wheels from the rails, so the signalling briefly loses track of where a train is.
The railway fights back each autumn. Railhead treatment trains blast the film off with high-pressure water jets and lay a gel of sand on the rails. Trains carry sanders that drop sand in front of their wheels, and wheel slide protection eases the brakes off a sliding wheel and on again, like a car's ABS. Lineside trees are cut back, and timetables allow extra time.
10
How long trains take to stop
A car's rubber tyres grip tarmac hard. A train's steel wheels on steel rails grip far less: that's what makes trains so efficient to keep rolling, and so slow to stop. A train also can't brake harder than its wheels can grip without sliding, and sliding wheels wear flat spots and stop no sooner. Add hundreds of tonnes, and a train at 125 mph (201 km/h) needs well over a kilometre, most of a mile, even with its emergency brake. So the signals for 125 mph (201 km/h) lines are spaced for about 2 km.
Grip
How hard a wheel can push or brake before it slips, as a share of the weight on it, and what a train's brakes are designed to need:
That is why leaves matter so much: trains are designed to brake without needing more grip than about 0.1, and a leaf film can leave far less, as little as an ice skate on ice (see Leaves on the line).
Why signals warn so far ahead. At speed, a driver can't stop within the distance they can see, so a fast line warns them early. On a four-aspect line, a double yellow comes first, then a single yellow, then the red: at 125 mph (201 km/h) the first warning comes two signals before the red, which gives the train room to stop.
Sources
Show the 41 sources from Wikipedia, Network Rail, Applied Energy and 17 more
- On the right track? Energy use, carbon emissions, and intensities of world rail transportation, 1840-2020 Applied Energy (vol. 367, article 123344; open access), 2024how much of the fuel's energy reaches the rails: steam about 6%, diesel about 37% today (23% in 1960); electric 90% from motor to wheels
- Richard Trevithick's Penydarren locomotive Wikipedia, read 25 October 2026Trevithick's locomotive at Penydarren, 1804
- Stockton and Darlington Railway Wikipedia, read 25 October 2026the Stockton and Darlington Railway, 1825
- Metropolitan Railway Wikipedia, read 25 October 2026the Metropolitan Railway, the first underground railway, 1863, opened with borrowed engines
- City and South London Railway Wikipedia, read 25 October 2026the City and South London Railway, the first deep-level tube, electric from its opening in 1890
- Southern Railway (UK): electrification Wikipedia, read 25 October 2026the Southern Railway's third-rail electrification, 1920s and 1930s
- 1955 Modernisation Plan Wikipedia, read 25 October 2026the Modernisation Plan, 1955
- Fifteen Guinea Special (the end of British Rail steam, 11 August 1968) Wikipedia, read 25 October 2026British Rail's last steam passenger train, 11 August 1968
- InterCity 125 Wikipedia, read 13 October 2026the High Speed Train in service from 1976 at 125 mph (201 km/h)
- High Speed 1 Wikipedia, read 25 October 2026High Speed 1 open in full, 2007; 300 km/h (186 mph)
- Metropolitan Railway A Class Wikipediathe A Class from 1864, by Beyer, Peacock; outside cylinders; condensing for the tunnels; Allan link motion, later Gibson and Lilley
- Metropolitan Railway A Class locomotive No. 23 London Transport MuseumNo. 23, preserved, the engine the site's drawing shows
- Vossloh España unveils Direct Rail Services Class 68 Railway Gazette International, 16 December 2013the Class 68 unveiled by Vossloh España, Valencia, December 2013; the C175-16 engine, 2,800 kW
- UKLIGHT diesel-electric locomotive, BRLL to be used by DRS, UK (data sheet LDEUKLIGHTBRLLDRS0816e) Stadler Rail, 2016 (file dated April 2018)the Class 68: Stadler Rail Valencia; Caterpillar C175-16, a V16, 2,800 kW; ABB AC/AC traction; Bo-Bo
- British Rail Class 170 Wikipedia, read 25 October 2026a Turbostar's Voith T211 hydraulic transmission
- British Rail Class 172 Wikipediathe Class 172's mechanical ZF gearbox
- British Rail Class 387 Wikipediathe Class 387: a four-car Electrostar; its width and height, drawn in the front views
- UPDATE - New Class 387 order details RAIL, 3 November 2015the Class 387s ordered as dual-voltage trains
- 387121 and 387 number 117 Bedford to Beckenham Junction 1H66 with a dead bird hanging off the front.jpg (photograph, CC BY-SA 2.0) train_photos, via Wikimedia Commons (Flickr), 23 July 2015the Class 387's front, as drawn in the end views and the cant figure
- A Guide to Overhead Electrification (132787-ALB-GUN-EOH-000001, rev 10) Network Rail (prepared by Alan Baxter), February 2015the contact wire normally 15 ft 5 in (4.7 m) above the rails
- Railway electrification in Great Britain Wikipedia, read 25 October 2026750 V DC third rail, 630 V DC on the Underground's four-rail system, 25 kV AC at 50 Hz, and where each is used
- Power lines now live as latest section of Midland Main Line is electrified Network Rail, 29 July 2024the Midland Main Line wired as far as Wigston, its south end
- Third rail Wikipedia, read 25 October 2026third rail's practical top speed of about 100 mph (161 km/h), limited by the shoe striking the ramps at gaps
- Class 390 Angel Trainsthe Pendolino's width
- Our Pendolino trains Avanti West Coast, published 6 May 2024, updated 10 June 2026the Pendolino's width, 8 ft 11 in (2.73 m; External Width of Trailer)
- Report 20/2008: derailment at Grayrigg, 23 February 2007 (version 5) Rail Accident Investigation Branch, October 2008, revised July 2011the Pendolino tilts
- British Rail Class 390 Wikipedia, read 21 October 2026the Pendolino's body tilts up to 8 degrees; its height, 11 ft 8 in (3.56 m)
- Avanti Pendolinos London Euston.jpg (photograph, CC BY-SA 4.0) SavageKieran, via Wikimedia Commons, 20 February 2020the Pendolino's front, as drawn in the cant figure
- London Underground 1972 Stock Wikipediathe 1972 Stock, drawn on jointed track
- Thermal expansion (coefficients for common materials) Wikipedia, read 25 October 2026steel's expansion, about 0.0115 mm a metre for each degree
- Why rails buckle in Britain Network Rail, 9 June 2023rails stress-free at 27 °C; rail up to 20 °C hotter than the air; speed restrictions at the hottest times
- A state of the art review of curve squeal noise University of Southampton (ePrints)curve squeal: a tonal noise, about 1 to 5 kHz on main-line wheels, from the wheel's own resonance excited by sideways stick-slip
- A case study of railway curve squeal radiated from both the outer and inner wheel Chalmers University of Technologysqueal mostly from the inner wheel
- Leaf-busting machines ready to tackle autumn season on the railway Network Rail Media Centrethe leaf film, like black ice; it can upset train detection; railhead treatment trains' water jets and sandite
- The Highway Code, rule 126: typical stopping distances GOV.UK (Department for Transport)a car's typical stopping distances: 69 ft (21 m) thinking and 246 ft (75 m) braking at 70 mph (113 km/h)
- British Rail Class 801 Wikipedia, read 25 October 2026the Azuma's brakes: 1.0 m/s² service, 1.2 m/s² emergency (Hitachi)
- Report 06/2022: Near miss between a rail grinding train and an empty passenger train at Sileby Junction RAIB (gov.uk), July 2022train protection assumes 7.5% g for freight and 12% g for passenger trains; some freight trains brake less well
- British Rail Class 66 Wikipedia, read 25 October 2026a Class 66's top speed, 75 mph (121 km/h)
- Improving performance and capacity on the railway Rail Engineer, 26 March 2018the signals' braking distance for 125 mph (201 km/h) on level track, 6,739 ft (2,054 m)
- Adhesion in the wheel-rail contact (research project) KTH Royal Institute of Technologygrip: 0.2 to 0.4 for traction, and braking designed to need no more than about 0.1
- The composition and friction-reducing properties of leaf layers Proceedings of the Royal Society A 476 (2239), 2020a leaf film's grip, 0.01 to 0.05, like an ice skate on ice
- The electric train's efficiency, about 88% from the wire, is an estimate: no source read gives one figure for the whole train
- The timeline's dates, the supply voltages and third rail's 100 mph (161 km/h) limit rest on Wikipedia
- The Pendolino's tilt of up to 8 degrees and its 11 ft 8 in (3.56 m) height rest on Wikipedia, and the height it tilts about (drawn at 5 ft 3 in (1.6 m)) is an estimate
- The Class 387's width and height rest on Wikipedia
- The Azuma's brake rates are Hitachi's, read on Wikipedia: the Hitachi paper has moved
- Steel's rate of expansion rests on Wikipedia; the joint gaps and the rail temperatures at which the heat figure warns are illustrative
- The A Class's stroke is unsettled (16 by 20 inches as built, or 17 by 26), and its valve is drawn as a slide valve, usual for its date
- The machinery inside the Class 68 and the Class 387 is placed approximately, and the live rail's position beside the running rail is drawn from a quotation of the standard
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