Square or round?
Corner radius
Pointy or round?
Slide the corners from sharp to round. Which shape looks like a plane window?
Morph a window from sharp corners to a full oval.
Slide to make the corners pointy or round.
A sketchbook explainer · 5 min
Explained for ages 8–12
Your turn
Each lab is one part of the video. Slide, pump and fly, and see what happens.
Each lab isolates one idea. The models are simplified teaching sketches, not real aircraft data.
Tap the buttons and slide the sliders.
Slide the corners from sharp to round. Which shape looks like a plane window?
Morph a window from sharp corners to a full oval.
Slide to make the corners pointy or round.
Fly the plane up and down. Watch the cabin swell and relax.
Change the altitude and watch the outside pressure, cabin altitude and fuselage swelling.
Fly up high. Does the plane puff up?
Make the corners sharper or rounder. Where do the lines of force crowd together?
Change the corner radius and watch the peak stress factor (Inglis rule of thumb).
Make the corners pointy. Where does the pull squeeze in?
Pump the tank and count the flights. When does the corner crack?
Cycle the fuselage from its real pre-test count (≈1,230) to failure (≈3,060).
Pump the water in and out. Watch the corner.
Pick a corner, then fly thousands of flights. Which window cracks first?
Choose a corner radius and run the cycles. The numbers are illustrative.
Crack the outer pane, or block the breather hole. What happens?
Test the fail-safe middle pane and the breather hole.
Tap to block the tiny hole. Tap to crack the outside layer.
Look at a plane window. It has no pointy corners! The windows in your house do. So why are plane windows round?
Planes fly very high, where the air is too thin to breathe. So the plane pumps extra air inside. The air pushes out, and the plane puffs up a tiny bit, like a balloon. When it lands, it gets smaller again.
All that puffing pulls on the plane's metal skin. Think of the pull like a river. Around a round window, the river bends gently. At a pointy corner, it squeezes into one tiny spot. That's why paper rips so easily from a little snip.
Long ago, a plane called the Comet had windows with squarish corners. Engineers tested it in a giant water tank, pumping water in and out like lots of flights. A crack grew from a corner. So they made the corners round.
Each window has three layers of tough, clear plastic. The middle one is a spare. The tiny hole helps the outside layer do the work, and it stops the window getting foggy.
An airliner's cabin is pumped full of air so you can breathe comfortably high up, and that makes the whole body of the plane swell very slightly on every flight, like a balloon.9 The swelling stretches the metal skin. Wherever there's a hole, such as a window, the stretch has to flow around it. At a sharp corner, the stress crowds into one tiny spot; around a smooth curve, it spreads out.12 Repeat that stretch thousands of times and a crack can slowly grow from a sharp corner. This is called metal fatigue.34 Rounded windows remove the weak spot.
Engineers learned this the hard way in the 1950s, from the world's first jet airliner, the de Havilland Comet.1
Airliners cruise around 11 kilometres (about 36,000 feet) up.7 Up there, the air pressure is only about a quarter of what it is at sea level: roughly 3.4 pounds per square inch instead of 14.6.7 That's far too thin to breathe comfortably, so the plane pumps extra air into the cabin.
The cabin isn't pumped all the way back up to sea-level pressure, though. US rules say the cabin must feel no higher than 8,000 feet (about 2,400 m) in normal flight,6 and some newer airliners keep it nearer 6,000 feet (about 1,800 m).9 Keeping the difference smaller keeps the stress on the plane's body smaller, because that stress depends on the difference between the pressure inside and outside.9
Even so, the air inside pushes outwards much harder than the thin air outside pushes in. The cabin swells a tiny amount, then relaxes when the plane lands and the pressures even out.9 That's one "pressure cycle" per flight, and a plane flies thousands of them.4
1 flight = 1 stretch-and-relax of the whole cabin
In the player: the outside pressure in the balloon toy comes from the standard-atmosphere formula; the smooth rise of the cabin's "feels like" height and the size of the swelling are simplified (the swelling is hugely exaggerated so you can see it).
Imagine the pull in a sheet of metal as lines of force flowing through it, like water in a river. With no hole, the lines run straight and evenly. Cut a hole and they must squeeze around it, so the metal right beside the hole carries extra load.110
How much extra depends on the shape. As far back as 1898, the engineer G. Kirsch worked out that the edge of a small round hole in a big plate pulled in one direction feels about three times the pull far away.2 Later, Charles Inglis showed that for a long narrow hole the pile-up gets far worse as the ends get sharper (as the radius of curvature shrinks).2 Engineers call these hot spots stress concentrations, and they're exactly where cracks like to start: at sharp corners, notches and cut-outs.2
| Shape of the opening | What the stress does | Peak stress (rule of thumb) |
|---|---|---|
| No hole | Flows straight and evenly | 1× (the "far away" pull) |
| Round hole | Bends gently, spreads along the whole curve | about 3×2 |
| Window with sharp corners | Forced to turn at once, crowds into the corners | much higher, and higher still the sharper the corner210 |
Engineers estimate the peak with a simple formula for a pointed, oval-ended hole:10
peak stress ≈ (1 + 2√(a ÷ ρ)) × the stress far away
Here a is half the length of the hole across the pull and ρ (rho) is the radius of the curve at its end. A circle has ρ = a, which gives the 3× above. Make the corner sharper (smaller ρ) and the number climbs. The "corners" and "your turn" toys use this rule of thumb to colour the stress; it's a teaching sketch, not a full engineering simulation.
A rounded window still makes some extra stress; the point is that it spreads it out instead of focusing it on one tiny spot.1
You can feel a stress concentration with a sheet of paper. Try to pull a sheet apart by its edges and it's surprisingly strong. Make one tiny cut in the edge first, and it tears easily, starting right at the notch. The notch is a very sharp corner, so all the pull crowds into its tip.2
Ask an adult before using scissors, and point the blades away from you.
A material that can take a load once can still fail if the load is put on and taken off many times. That's fatigue.3 Bend a paperclip back and forth and it eventually snaps, even though a single bend does nothing much.13
In an airplane, the repeated load is the cabin pressure going up and down on every flight.4 Fatigue damage starts as tiny cracks, too small to see at first, and they grow a little with each cycle.5 Where do they start? At stress concentrations: sharp corners, notches and even rivet holes.28
In the player: the "your turn" crack-growth numbers are made up to show the idea; they aren't real data for any aircraft.
The de Havilland Comet first flew in 1949 and began carrying passengers on 2 May 1952, the world's first pressurised jet airliner.112 It flew faster, higher and more smoothly than the propeller airliners before it,1 and flying higher meant its cabin had to hold back a bigger pressure difference.8
In 1954, two Comets broke up in flight, and the whole fleet was grounded while investigators worked out why.1
Investigators put the body of a Comet (registration G-ALYU) into a huge tank. They filled the tank and the cabin with water, then pumped extra water into the cabin until the pressure matched a real flight, let it out, and repeated this again and again to copy flight after flight. Using water instead of air was safer: water barely squashes, so when something gave way it wouldn't burst apart.1
That fuselage had already made about 1,230 real flights. After about 1,830 more "flights" in the tank, some 3,060 in total, the metal split open, starting at the corner of a squarish escape-hatch window.1 Wreckage recovered from the sea then showed the first crack in one of the accidents had started at squarish radio-antenna windows in the roof, with the "unmistakable fingerprint of fatigue".1 The FAA's summary: the squarish windows created stress concentrations much higher than expected, and the production Comets were reaching only about 1,000 pressure cycles instead of the 16,000 a test fuselage had survived.1
The Comet changed to oval windows, rules changed to require fatigue tests on complete, fresh pressure cabins, and the whole industry learned how pressurised bodies wear out.12
| Comet test fuselage G-ALYU | Pressure "flights" |
|---|---|
| Real flights before the test | ≈ 1,230 |
| Pretend flights in the water tank | ≈ 1,830 |
| Total when it split at a window corner | ≈ 3,060 |
Source: FAA Lessons Learned.1 Other histories give slightly different counts (for example 3,057).8
Not quite. The Comet's big passenger windows were rectangular with slightly rounded corners, and plenty of propeller airliners of the time had similar windows without trouble, because they flew lower with a smaller pressure difference. The cracks that mattered began at smaller, squarish cut-outs (the roof antenna windows and an escape hatch window), helped along by rivet holes and thin skin nearby.18 The lesson, though, was the same for every opening: round off the corners.
A passenger window isn't ordinary glass. It's three layers of tough, clear acrylic plastic:7
The breather hole lets air pressure even out between the cabin and the gap behind the middle pane, so during flight the cabin pressure presses only on the outer pane. It also helps stop the window fogging up.7
Yes. Lessons like the Comet's are a big part of why. Over the last ten years in the US, the death rate per mile travelled in cars was about 1,200 times higher than on scheduled airlines.11 Today's airliners are designed so that damage is found long before it can matter, and their structures are regularly inspected for fatigue cracks.15
Curious how the plane gets up there in the first place? See how planes fly. And for the stuff in ordinary windows, see how glass is made. If the engine hum bothers you on a flight, find out how noise-cancelling headphones work.
Every flight, the cabin is pumped full of air and swells very slightly, which stretches the metal skin. At a sharp corner that stretch crowds into one tiny spot, and over thousands of flights a crack can start there. A rounded corner spreads the stretch out along a smooth curve, so no single spot takes all the strain.
In 1954 two de Havilland Comet jet airliners broke apart in flight. Investigators found metal fatigue cracks that started at the corners of squarish openings in the fuselage: small radio-antenna windows in the roof and, in a water-tank test, an escape-hatch window. After that, designers gave windows and other openings well-rounded corners.
A plane window has three panes. The small breather (or bleed) hole is in the middle pane. It lets air pressure even out so that only the strong outer pane holds back the cabin air, keeping the middle pane as a spare. It also helps stop the window fogging up.
Passenger windows are made of layers of tough, clear acrylic plastic, not ordinary glass: an inner scratch pane you can touch, a middle pane with the breather hole, and a thick outer pane that holds back the cabin pressure.
Metal fatigue is when a part that is strong enough to take a load once fails after the load is put on and taken off many times. Tiny cracks form, often at a sharp corner or hole, and grow a little with every cycle. Bending a paperclip back and forth until it snaps is a simple example.
The outer pane does the work of holding in the cabin air, but the middle pane is built to take over if the outer one is damaged. Airliners are designed so that one damaged part doesn't lead to disaster, and they're inspected regularly.
Mostly for the same reason. Any hole in a loaded sheet of metal makes the stress pile up around its edge, and a round hole spreads that extra stress along a smooth curve instead of squeezing it into sharp corners.