WM_Su2014_09

Corrosion Cracking and More Summer 2014 Session · 8 sections 12 cases · Watch on YouTube ↗ all files
Layer 3 — readable edition

§1. Course logistics and the history of engineering education [00:05]

§1.p1

Tomorrow I'll do an hour, maybe a little more than an hour of lecture, and then we'll have the two presentations. Next week we'll plan on probably a couple of presentations a day. I might have to cancel a day next week or two, which means we run into the next week. Whoever's in charge of the catering, we'll figure that out as I find out what my schedule is. We should still finish before July 4th, or actually by June 26 — that's my last day before vacation.

§1.p2

We're going to start metallurgy today. We'll do some more on corrosion later. People asked earlier — the presentations can be on anything with redeeming academic value. I'd rather you do something you're interested in than something you're not interested in. A lot of you already have some of these things, you just have to pull them together.

§1.p3

So the question is, why metals? In fact, the history of this department was that when MIT started, it was the Department of Mining Engineering. Let me tell you a little about the history of engineering. The first engineering school in the world was probably École Polytechnique in France, in the 1700s. The first engineering school in the United States, about 1797, was West Point. Until 1845 the commandant of West Point had to come out of the Corps of Engineers. The word engineering comes from a French word which means maker of war machines. So an engineer was someone who built catapults and bridges and breastworks. That's what they taught at École Polytechnique, that's what they taught at West Point.

§1.p4

The first engineering school in the United States that was not military engineering was Rensselaer Polytechnic in 1823 in Troy, New York. Anybody from Rensselaer? Near Albany. In 1823, what was going on in New York State that required engineering? The Erie Canal. They needed to dig canals and build bridges, so they needed engineers. And to distinguish it from military engineering, they called it civil engineering. So now you know — we're civil engineers. You should all be civil, anyway.

§1.p5

Michigan claims they have an engineering school in the 1840s. I don't know if all the students were bears or what — there wasn't a whole lot in Michigan in the 1840s, but nonetheless. MIT started officially in 1861. They had no money. But then there was the Morrill Act. Anybody from University of Illinois? In the middle of University of Illinois Urbana-Champaign, they have a cornfield — they built the library underneath it, it's a submerged library. And this cornfield has been in continuous planting since the 1840s. It's called the Morrill Plot. Morrill was the guy who in 1863 put through the Land Grant College Act.

§1.p6

Congress wanted to encourage all the people going west, even during the Civil War, to start colleges of agriculture and mining. The government didn't have any money, so they could give away land. There was a big fight between Harvard and William Barton Rogers, who was trying to start MIT. Barton Rogers won — some people at the state house didn't like Harvard, I guess, even though half of them probably graduated from Harvard. He won the fight, and MIT became the land grant college for Massachusetts — the only state in the nation where a private university is the land grant college.

§1.p7

What's the second richest school in the country, in terms of endowment, after Harvard? It's University of Texas. They gave them some land in east Texas, which is nice rolling hills — gets a little hot in the summer but it's very pleasant, very beautiful. And the settlers, after they formed that, decided why should we be giving all this good land to the university. We're going to give them a bunch of land out near Lubbock and Amarillo, which is all desert. And now it's called little Kuwait. They gave them all the oil. They didn't know about oil back the time they made this transfer. So the University of Texas became very wealthy. However, the state legislature got involved, and now it's not just the University of Texas — all the Texas state colleges have to share the wealth. They can use it for buildings or equipment but not people. So it's like a neutron bomb: beautiful buildings, nice equipment, no people.

§1.p8

MIT came along, and Course One is civil engineering. MIT was really one of the first schools that started separating engineering into disciplines. Course Two is mechanical engineering. Course Three was mining engineering. Course Four was architecture. Course Five was chemistry — maybe. Course Six obviously wasn't electrical engineering, that didn't come along until the 1880s — I think Course Six was geology, which merged with mining later. Eventually metallurgy came in there somewhere, and finally they changed Course Three to the Department of Metallurgy in 1888. When I was a freshman it was metallurgy and material science — and it was 75% metallurgy. By the time I graduated six years later, it was probably 60% metallurgy, and now they were doing electronic materials, ceramics, and polymers as other materials.


§2. Why structural materials are still mostly metals [07:18]

§2.p1

Structural materials are still generally metals. That's my introduction to why we want metals. Does anyone know why structural materials are still mostly metals, as opposed to ceramics?

§2.p2

It's mostly because metals can be elasto-plastic — they can deform without breaking. Actually, the largest use of structural materials is ceramics. It's called portland cement, or stone. People have been using it for millennia. The Romans used portland cement and some of their portland cement is still around, still in good shape after thousands of years. But it is a little brittle. And a lot of times you don't like to have things that are brittle.

§2.p3

The definition of ductile is, it deforms beyond the yield point. [Tom points to a stress-strain curve on the slide.] I probably should have asked the first day, what are your undergraduate disciplines? How many mechanical engineers? Electrical engineers? Physics? Chemists? — I already figured that one out, I looked at the blank stares when I started talking about chemistry. Nuclear engineers? One. Naval architecture? Aerospace? Any others?

§2.p4

We actually have a number of ocean engineers, marine scientists, naval architects. We used to have a Department of Ocean Engineering and Naval Architecture, but it got merged into mechanical engineering. The reason was, they had lots of graduate students, most of whom were from Greece or Korea or Japan. They had almost no undergraduates. MIT really does care about undergraduate education, more so than graduate education. That's another story we can talk about sometime.

§2.p5

So the point is, metals can deform, bend before they break. This is the yield point of materials. If you had any mechanical engineering, or even if you were in some of the other fields, you've learned about stress-strain curves in some course of mechanics. Over here where it's colored red, this is brittle behavior — and these are all steels. Intergranular fracture, which is a type of fracture you get with hydrogen embrittlement, with stress corrosion cracking in some steels, is very brittle. The metal doesn't deform, it just snaps. Not quite as brittle as cast iron, and certainly not anywhere near as brittle as glass, but it's still brittle.

§2.p6

Cleavage fracture — if you look in a lot of books they'll call it brittle, but in fact it's a three and a half percent strain. There are some textbooks that define this transition between brittle and ductile as anything above half a percent strain being ductile. In general you like to design with at least three to five percent strain, because you have some flexibility. You'd love to design with twenty or thirty percent strain. And you get ductile dimples — it pulls like taffy.


§3. Silly Putty and paper: ductile vs. brittle demonstrations [11:01]

§3.p1

[Tom produces Silly Putty.] There is an example which most of you played with as children — Silly Putty. This is actually a double dose, so it can be large enough. I can take Silly Putty and pull on it and it stretches and it's ductile. Actually it's a near-Newtonian fluid. But I can take the same Silly Putty — now I have to get it a little thinner because I'm not that strong — and I pull it like that, and it's brittle. Remember doing that as a child? [Tom hands the Silly Putty around the class.] You can pass that around, everyone can do their own experiment.

§3.p2

I can talk about brittle and ductile in other terms. If I take a piece of paper — paper is brittle, and I will prove it to you in just a second — I can pull on the edge of a piece of paper with several pounds of force. If I put a notch in it, a brittle material is notch-sensitive: takes ounces, not pounds. That is the basis of the science of fracture mechanics. If you put a notch into something that's brittle, it will be notch-sensitive. And you can tell it's brittle because when you put it back together, it matches — there is no significant deformation in the paper.

§3.p3

If I try that with a piece of rubber, which is a ductile material — I pull this piece of rubber many times — I've got a great big notch and I can't extend that crack in the rubber. The rubber actually deforms. You can actually see where it's all wrinkled at the tip. Someday I'll have to use a new piece — it's not wrinkled at the tip on a fresh one.


§4. The Liberty ships and the brittle-fracture problem [12:52]

§4.p1

There are two things that are important in fracture mechanics. This was all discovered, or studied extensively, at three places in the world just after World War II. And it had something to do with a naval problem during World War II. Anybody know what the brittle fracture problem was in World War II? Liberty ships.

§4.p2

[Tom produces a bound report.] MIT's library 15 years ago was throwing this out. They were selling it for two dollars, and one of my graduate students picked it up for me. This is the report of an investigation on the design and methods of construction of welded steel merchant vessels, from July 1946. Just for you Coast Guard folks — the first signature is a rear admiral, U.S. Coast Guard engineering chief. Down here we have the vice admiral, chief of the Bureau of Ships. And there's a guy James Forrestal, if you've ever heard of him — Secretary of the Navy at the time.

§4.p3

If you look at the data: 4,694 welded steel merchant vessels were built by the Maritime Commission. These were not all Liberty ships, some were T1 and T2 tankers. 970 suffered casualties involving fractures. By casualty I mean a metal casualty, not a person casualty — though some of them probably suffered the other type too. 24 sustained a complete fracture of the strength deck, one vessel sustained a complete fracture at the bottom, eight vessels were lost, four broken in two, and four were abandoned after fracture occurred. 26 lives were lost in these structural failures.

§4.p4

The most famous picture is this one — the Schenectady lying at dock. View of SS Schenectady after splitting in two at her outfitting dock. Just been built, hadn't been out to sea, and they got two ships for one. Here's the SS Manhattan, taken at sea — not a good day for the people on the SS Manhattan. You can see the blimp up there, one of two blimps it says. There are a number of pictures in here you don't usually see. A completely split-in-two ship.

§4.p5

It turns out they failed for two reasons. The steel was somewhat brittle, so it was like paper as opposed to rubber. And they had notches, and the notches were due to welding defects. The welds weren't necessarily bad — they weren't perfect, actually. Sometimes during World War II, people would take the stick electrodes — if you've ever seen a stick electrode, that's what they welded the ships together with in World War II, mostly — and after a tired long day on a big thick weldment, they would throw a bunch of these electrodes into the groove and weld over them. And no one was doing X-rays to see that they had just put a huge defect into a piece of armor plate.


§5. Battleship armor weld and the lost art of heavy welding [16:27]

§5.p1

[Tom produces a thick weld sample.] Speaking of armor plate — we'll pass this one around, it's a little heavier. Let me put it up here first. It's not dirty, I just don't like to scratch everything up. This is a weld that came out of a forging press. It's about an 18-inch thick weld. This is the type of weld they would have been making. I counted once — somewhere between 400 and 600 passes. There are some sharp edges on this, so be careful, don't cut yourself. [Tom hands the weld sample around the class.] That's how they welded battleship armor, which could be 14, 16, in some cases 18 inches thick.

§5.p2

We no longer know how to do that. I'll tell you the story of how we tried to weld that together unsuccessfully when the forging press broke after 60 years of service and some guys came in to try to weld it. They were very good welders — no defects in that weld — but lots of residual stresses. The first time they welded it, they didn't do the proper welding procedure, and it cracked before they even got it off the welding platform. The next time they did a better job, they got it back onto the press. The first time they tried to forge a truck wheel — this was at one of the two big plants that make aluminum truck wheels for big semi-trailers and tractors, this was not Alcoa, it was the other plant, I think an 8,000-ton press — the first one they hit, they got another crack because of residual stresses and improper welding procedures.


§6. The three postwar studies: Weck, Pellini, and MIT [18:25]

§6.p1

Because of the Liberty ships, a lot of people were very concerned, and three places in the world did big studies in the late 1940s and early 1950s to understand brittle fracture in welded steel ships. One was a guy, Richard Weck, who when I was starting out as a young welding engineer in the mid-70s became the director general of the British Welding Institute. He was at Cambridge University, and as a young man in his 20s he got on his bicycle and rode out to Abingdon, near Cambridge in England. He found a nice field, went back, and convinced the British government to start the British Welding Institute, which now is one of the biggest and best known welding institutes in the world. They've done excellent research over the years. Richard Weck became Sir Richard Weck — one of the most arrogant men you will ever meet. But you won't meet him, he's dead now. That was one place where they studied brittle fracture of welded steels, and he convinced the British to do it because the British Admiralty wanted to know about these ships too.

§6.p2

The other place was the Naval Research Laboratory, and a guy William S. Pellini, who wrote this little monograph. He was formerly superintendent of the Metallurgical Division of the Naval Research Lab. Whose laboratory is the Naval Research Lab? [pause for student response] NAVSEA is Carderock. Office of Naval Research — right. So the 6.1 money: the research lab is NRL. NRL covers aviation, NAVAIR, NAVSEA, everything else — the whole Navy — because it's the basic research laboratory of the U.S. Navy. Carderock is the applied research.

§6.p3

Carderock has a little bit of 6.1 money, and NRL has 6.2 money and other things. Do you know what 6.1 and 6.2 money is? 6.1 is basic research — basic scientific research. The Naval Research Lab has produced at least one Nobel laureate, Jerome Karle, who won the Nobel Prize in chemistry 40 years ago. They've done a lot of things. They did a lot of the basic work for the whole GPS system of the world. It's a very prestigious scientific laboratory.

§6.p4

The applied laboratories — NAVSEA and NAVAIR — have 6.2 money. These are pots that Congress puts in the budget. They're line items in the budget. So when the Secretary of Defense says I want this much money for 6.1, the Navy will get this much basic research, the Army will get this much. If you're a Marine, you're in there with the Navy. 6.2 is applied research, where they might be looking at corrosion science under 6.1, but corrosion applied to aluminum for lightweight vessels under 6.2. Then there's 6.3 and 6.4, a lot of which is done at Carderock, which is exploratory development and advanced development. And then you get into the seven numbers, where they actually are building prototypes.

§6.p5

So if they built the Sea Cliff submarine, or earlier built the Alvin submersible back in the 60s — just last week the Alvin had its 50th anniversary, which is sort of a joke because it's not the same Alvin. It's been reborn twice, most recently about five years ago as a completely from-the-ground-up new vessel. That would be bigger money — tens of millions of dollars to build something like the Alvin. The new Alvin, I think, cost about $40 million.

§6.p6

So Pellini started out doing research and developed things where you make sure you got nice ductile steel when it was welded. [Tom advances the slide.] You weld a steel plate — this one is brittle. They found that steel, when it gets cold, can become very brittle. And cold just happens to be around room temperature. So there's this ductile-brittle transition temperature that people really learned to worry about — they actually knew about it before this, but they didn't really worry about it. It's measured in energy in foot-pounds. Since Pellini was interested in submarines, he basically started the explosion bulge test. You have this big cavity with rounded edges, you put a plate on. Here's your test plate in this 14-inch diameter test specimen. These are expensive tests — an explosion bulge nowadays might run you $50,000 or $100,000. They go to some place like White Oak — they used to have White Oak, now they probably go somewhere out even further away from the world, like Aberdeen or somewhere. I don't know if they go to Aberdeen, that's an Army lab. They set an explosive charge off, actually several charges, and they keep on deforming this test plate by different amounts.

§6.p7

Sometimes they get brittle fractures, sometimes they get a bulge before the thing fractures all the way, sometimes they get great big nice ductile things before it finally starts to tear. They can correlate that to other things. Pellini did all kinds of work on figuring out how to weld ship steels. Along with that came, in the mid-50s, the building of the Nautilus nuclear submarine out of HY-80, which was also a program started at U.S. Steel by the Navy to develop a higher strength steel. The submarines in World War II were probably 50 ksi steel. HY-80 was 80 ksi yield. So you had a big improvement in depth capability. And then Rickover developed the nuclear reactor so they could stay under, go underneath the pole and everything.

§6.p8

The third place where they did work — Welding Institute in Britain, Naval Research Laboratory — was MIT, in the Metallurgy Department. Morris Cohen and Ben Averbach were two people who had a nice gravy contract from ONR for 10 or 15 years to look at brittle fracture. They were doing really the science aspect as opposed to the more applied things.


§7. Bessemer steel, English deforestation, and Saugus Ironworks [26:22]

§7.p1

So what people learned was — back in the 1860s and 70s, people sort of learned, if you were going to try to build a bridge or something out of steel — and remember, they didn't make things out of steel before the 1870s. Anybody know why? They made swords, but steel cost almost as much as gold to make before the 1870s. [pause] Yes — the Bessemer process. Henry Bessemer came along in 1854 and taught people how to make steel. You cannot melt steel with a normal hydrocarbon flame. You can use coal, you can use oil, you can use methane, but you can't melt steel in air. You can get about two or three hundred degrees from the melting point. In my welding course, when you watch on video, you'll see me bring in some propane torches and MAPP gas torches and put a steel wire in there — and I can't melt it.

§7.p2

But Bessemer learned how to preheat the air coming in and get hotter combustion, and showed people that with the proper design of a Bessemer converter, he could preheat the incoming air and melt steel. So now they had a way to melt steel. Before that they had wrought iron, which was basically a process of taking iron ore and putting it into a reducing gas atmosphere and making solid porous chunks of iron. That was wrought iron, and that was easy to work. Before that they also had cast iron — we'll talk about what cast iron is. Cast iron was one of the first industries brought from the old world to the new world.

§7.p3

In England in the 1500s they had an energy crisis. The energy crisis was, they were running out of trees. There were three uses of trees. One was to make charcoal to make glass, which was a very expensive thing to have in your home — glass in the windows. Another was to make charcoal to make cast iron, because you needed to make cannon and things like that for the military. And the third use of big trees was to make ships. In fact, I read from this book called Out of the Fiery Furnace — they passed laws that you could not cut down trees anywhere within three miles of the Thames River, because if you wanted a big mast for your ship, you needed a big tree. It took like a whole forest to build a man-of-war. They were running out of trees to make charcoal to make iron. And what do they have in the new world? They had forests.

§7.p4

So they brought over Saugus Ironworks. If you've got some time this summer — actually they will give you a day off later — go up to Saugus, Massachusetts and go through the national park, which is the Saugus Ironworks, and learn about how to make iron.

§7.p5

What they knew from the 1850s, 60s, and 70s is, you could measure the force of fracture of a bar of steel, and that would allow you to calculate — because they had developed beam theory — how strong something would be. That way you could size the parts, rather than just making things ten times larger than they needed to be, which is what they did out of stone and brick — the cathedrals and the Roman aqueducts. They actually could calculate to use the least amount of material. They still had safety factors of five and ten because cast iron was sort of brittle, and they knew that.

§7.p6

They got to steel that wasn't brittle most of the time, and they could start to build railroads. Andrew Carnegie was richer than Bill Gates or Warren Buffett in his day and time, on an equivalent basis. He was the richest man in the world because he took over the steel mills. So steel was king. But what they had learned, even though they had the science of fracture mechanics since 1925, in the 1950s they learned that you needed not just the force of fracture, you needed to know the energy of fracture.


§8. Ashby plots and why steel still wins [31:18]

§8.p1

I could have had a piece of rubber that would fracture at a force like a rubber band — smaller cross section — that might fracture with less force than the piece of paper. But the rubber band at least would be ductile and stretch before it finally snapped, whereas the piece of paper might break suddenly at the dock. So if you build paper boats, don't float them in water. Paper's not very good in water. What we have today is, we look at fracture toughness versus strength.

§8.p2

[Tom pulls up an Ashby plot.] This is what's called an Ashby plot, by this guy Mike Ashby. Used to be at Harvard, now he's retired from Cambridge in the UK, which is where he started. One of the great material scientists, mechanical engineers of my generation.

§8.p3

He plots fracture toughness — which is like an energy of fracture, related by the fracture mechanics to the energy of fracture, has funny units, megapascals per square root of meter, we can talk about that later if you want — versus strength in megapascals. You can put all the materials in the world in certain classes. The metals are up here. What you want is something that's very tough and very strong — the metals are up here. The ceramics are over here. They might be reasonably strong but they're not very tough. The iso lines, of equal strength and toughness — ratio of K₁c squared over pi times the fracture strength — these are ratios, and that comes right out of the fracture mechanics formula. You'd love to have something way over there. But nature sort of keeps strength and toughness, energy and force of fracture, aligned, except for ceramics and pottery and bricks, which is what people used to use.

§8.p4

Here are your woods, your plastics — there's low-density polyethylene. Plastics and woods are in here. Foams and polymers are down here. I don't usually use foams and polymers for structural materials. Balsa wood should be on here somewhere, but it's way down. Here's balsa wood, way down here. Here's perpendicular to grain and parallel to grain, if we're talking woods. So here are the woods, there's balsa, these are the plastics. Rocks, ice. You can see where everything is. What's at the top? Steels, nickel alloys, titanium alloys. Aluminum is actually not so good, magnesium's not so good, among the metals. But they're a heck of a lot better than everything else.

§8.p5

So I've now spent a half an hour telling you about the history of engineering and telling you about why we use metals. We haven't even gotten started — but that's the first part of welding metallurgy: why do we use metals. And why is Tom Eagar going to spend most of the next four hours of lecture over the next few days talking about steels?

§8.p6

The answer is quite simple. There's a paper written by one of my favorite authors — at least I understand what he writes, me — called "The Future of Metals." A paper I wrote, that has this plot I stole from somebody, from 23 years ago. Out of 100 pounds of metal made in the world, 95 is steel. That's partly because of the previous plot — what has the highest toughness and strength? It's the steels. That outer boundary is exactly the same as the steels. Nickel and titanium are almost as good. But you can probably guess, why don't we make everything out of nickel and titanium? [pause] It's expensive. There's also not enough of it.

§8.p7

If I look at how much of these things we have — we make one and a half billion tons of steel a year in the world. We make 45 million tons of aluminum. People are talking about using more aluminum and more magnesium in cars. One of the problems is, 40% of all that aluminum goes to beverage cans. [Tom produces a beverage can.] We'll do a demonstration with that later. So if the automotive guys really started using lots of aluminum, there's not enough aluminum in the world. There could be, but who's going to put the billions and tens of billions of dollars into aluminum production unless they know the market is there? So it's a chicken-and-egg problem.

Cases referenced

  • Liberty ships and SS Schenectady §4.p1

    Anchoring case for the entire brittle-fracture arc. Tom produces the 1946 Maritime Commission report; cites the 4,694-vessel / 970-casualty / 26-fatality figures; shows the famous Schenectady-at-dock and SS Manhattan-at-sea photographs; attributes the failures to brittle steel plus weld-defect notches plus wartime workmanship shortcuts (electrode stubs welded into grooves).

  • 1952 T2 tanker fracture off Cape Cod §4.p3

    Not developed; T2 tankers are mentioned only to clarify that the 4,694-vessel figure is not all Liberty ships.

  • WWII Welded Merchant Vessel Structural Failures (Fleet-Wide) §4.p3

    The fleet-wide statistical case (4,694 / 970 / 24 / 8 / 4+4 / 26) sourced from the 1946 report. Distinguished from the Schenectady case proper, which is the iconic image; this is the underlying epidemiology.

  • WWII ship construction slugging welds §4.p5

    Tom's account of welders at the end of a long shift throwing stub electrodes into the groove and welding over them, with no X-ray to catch the resulting defect in armor plate. Mechanism explanation for why the Liberty-ship welds had notches.

  • 7,000-ton forging press weld repair / 7000-ton forging press casting weld failure §5.p1

    Tom produces the ~18-inch-thick, 400–600-pass weld sample. Tells the story: forging press broke after 60 years of service; competent welders, no weld defects, but high residual stress; cracked off the welding platform on first attempt; on second attempt the press cracked the first time they tried to forge an aluminum truck wheel. Tom specifies "not Alcoa, the other plant," ~8,000-ton press.

  • British Welding Institute founding §6.p1

    Richard Weck's bicycle ride from Cambridge to Abingdon to scout a field for the British Welding Institute, motivated in part by Admiralty interest in the brittle-fracture problem. Tom's editorial color: "one of the most arrogant men you will ever meet. But you won't meet him, he's dead now."

  • Pellini explosion bulge test development §6.p2

    William S. Pellini at the Naval Research Laboratory developed the explosion bulge test to characterize ship-steel ductile-brittle behavior. Tom describes the 14-inch test specimen, the explosive-charge protocol, the ductile-brittle transition discovery (around room temperature), and the $50K–$100K per test cost today. Tests now run at remote sites (formerly White Oak).

  • Nautilus submarine hull material (HY-80) / HY-80 and HY-100 steel development §6.p7

    HY-80 was developed at U.S. Steel under Navy program, jumping submarine hull yield from ~50 ksi (WWII) to 80 ksi, with corresponding depth-capability gain. Paired with Rickover's nuclear reactor development. Brief mention, framing the postwar payoff of Pellini's brittle-fracture work.

  • Alvin and Sea Cliff deep-ocean research submersible development §6.p5

    Aside on Navy funding categories. Alvin had its 50th anniversary the week before; Tom notes it's not the same Alvin (rebuilt twice, most recent ~5 years prior at ~$40M). Mentioned as an example of 7-series prototype-build money.

  • Saugus Ironworks §7.p4

    Recommended Saugus, Massachusetts national park visit. Saugus Ironworks brought over from England as part of the cast-iron industry relocation driven by the English wood shortage.

  • British iron industry wood shortage crisis / Early American iron and glass industries—British energy crisis relocation / 1558 English law against tree-felling for charcoal / England 16th-17th century deforestation and energy crisis §7.p3

    Tom's three-uses-of-trees account: charcoal for glass, charcoal for iron, and ships' masts. The Thames three-mile no-cut law cited from *Out of the Fiery Furnace*. Direct setup for the New World forest resource that made Saugus possible.

  • Roman aqueducts §7.p5

    Brief contrast — pre-beam-theory construction relied on safety factors of five-to-ten because brittle materials (stone, brick) could not be sized to calculation. Roman aqueducts cited as the canonical example of this oversized-for-safety regime. ## Figures referenced (not cases)

Layer 2 — cleanup edit
p1 00:05

So we'll do tomorrow, I'll do one hour, uh, or maybe a little more than an hour of lecture and then we'll have the two presentations, right. And next week we'll plan on probably a couple of presentations today. Okay, we very well, I might have to cancel a day next week or two, which means we run into the next week. Whoever's in charge of the catering, uh, you know, we'll figure that out as I find out what my schedule is. But we should still finish by, uh, before July 4th, or actually by June 26 because that's when my last day before vacation. Okay.

p2 00:58

So we're going to start metallurgy today. We'll do some more on corrosion later. Uh, I'll probably take, after some people have other done some other things and some of your presentations, people— presentations, your presentations. People asked a question earlier, they can be on anything with redeeming academic value, okay. And I'd rather you do something on something, as I said, that you're interested in rather something you're not interested in. And a lot of, they already have some of these types of things, you just have to pull them together.

p3 01:29

So the question is, why do metal— or just always talk about metals. And in fact, the history of this department was that when MIT started, it was the Department of Mining Engineering, okay. In fact, I might as well tell you a little bit about the history of engineering, it's the direction I like to give. The first engineering school in the world was probably École Polytechnique in France, okay, uh, in the 1700s. The first engineering school in the United States, about 1797, was West Point. Okay, until 1845 the commandant of West Point had to come out of the Corps of Engineers. In fact, the word engineering comes from a French word which means maker of war machines, okay. So an engineer was someone who built catapults and bridges and breastworks and things like that. And that's why they taught a— École Polytechnique, that's what they taught at West Point.

p4 02:28

The first engineering school in the United States that was not military engineering was Rensselaer Polytechnic in 1823 in Troy, New York. Anybody from Rensselaer? Okay, so, okay, near Albany, Troy. And in 1823, what was going on in New York State that required engineering? The Erie Canal, okay. They needed to dig canals and build bridges and things like that, so they needed engineers. And to distinguish it from military engineering, they called it civil engineering. So now you know, we're civil engineers. Anybody here a civil engineer? Okay, well, you should all be civil, but anyway.

p5 03:14

In any case, you know, Michigan claims they have an engineering school in the 1840s. I don't know if all the students were bears or what. In the 1840s in Michigan, there wasn't a whole lot in Michigan in the 1840s, but nonetheless. MIT started officially in 1861. They had no money. But then there was the Morrill Act. Anybody from University of Illinois? So no one here knows about the Morrill Act. In the middle of University of Illinois Urbana-Champaign, they have a cornfield, which is just about, they built the library underneath it, it's a submerged library. And this cornfield has been continuous planting since the 1840s. And Morrill— is called the Morrill Plot. And Morrill was the guy who in 1863 put through the Land Grant College Act.

p6 04:05

Congress wanted to encourage all the people going west, even during the Civil War, to start colleges of agriculture and mining and such things. And so the government didn't have any money, so they could give away land. So they gave away land. And it turns out there's a big fight between Harvard and William Barton Rogers, who was trying to start MIT. But Barton Rogers won because some people at the state house didn't like Harvard, I guess, even though half of them probably graduated from Harvard. Nonetheless, he won the fight, and MIT became the land grant college for Massachusetts, the only state in the nation where we have a private university as a land grant college. Okay.

p7 04:52

What's the third richest school in the country, in terms of endowment, after— our second richest after Harvard? It's University of Texas. Anybody from University of Texas state colleges? Nope. Well what happened there is, they gave them some land in east Texas, which is nice rolling hills. Anybody knows east Texas is very pleasant, gets a little hot in the summer but it's very pleasant, very beautiful. And the settlers, after they formed that, decided why should we be giving all this good land to the university. We're gonna give them a bunch of land out near Lubbock and Amarillo and stuff, um, which is all desert. And now it's called little Kuwait, okay. So they gave them all the oil. They didn't know about oil back the time they made this transfer. Anyway, so the University of Texas became very wealthy. However, the state legislature got involved and now it's not just the University of Texas, it's all the Texas state colleges have to share all this wealth. And they can use it for buildings or equipment but not people. So you have, it's like a neutron bomb, you know. We have beautiful buildings, nice equipment, no people, right.

p8 06:01

So anyway, uh, but MIT came along and Course One is civil engineering. MIT was really one of the first schools that started separating engineering into disciplines. Of course, Course Two is mechanical engineering. Course Three was mining engineering. By, uh, of course, Course Four was architecture. Course Five was actually, it wasn't, uh, chemistry— maybe it was chemistry. Course Six obviously wasn't electrical engineering, that didn't come along until the 1880s. In any case, metallurgy didn't come along— oh, I think Course Six was geology, okay, which merged with mining and anyway later. And eventually metallurgy came in there somewhere and finally they changed Course Three to the Department of, uh, Metallurgy, um, in 1888, okay. And then they didn't— when I was a freshman it was metallurgy and material science. And it was 75% metallurgy. And then by the time I graduated six years later, it was probably 60% metallurgy and now they were doing electronic materials, ceramics, and polymers as other materials.

p9 07:18

So, but structural materials are still generally metals. That's my introduction to why we— why do we want metals. Does anyone know why structural materials are still mostly metals, as opposed to ceramics, okay, or something like that?

p10 07:43

Well, that could be a reason. It's mostly because metals can be elasto-plastic, they can deform without breaking. I mean, actually the largest use of structural materials is ceramics. It's called portland cement, or stone, okay. People have been using it for millennia, you know, stone and portland cement. Russians are not— the Russians, the Romans. Russians begins with an R, um. They use portland cement and some of their portland cement is still around, okay, and still in good shape after thousands of years. But it is a little brittle, okay. And a lot of times you don't like to have things that are brittle.

p11 08:21

And so, the definition of ductile is, it deforms beyond the yield point. So this is a stress-strain curve. I probably should have asked the first day, what are your undergraduate disciplines? How many people were mechanical engineers? Okay. How many people were electrical engineers? Okay. How many people were physics? Okay. How many people were chemists? I already figured that one out, I looked at the blank stares when I start talking about chemistry. What other— nuclear engineers? Okay, one. How— what other disciplines? Naval architecture engineering, right, okay. Any other disciplines? [pause] For me? Oh okay, yep, good. Aerospace. Any others?

p12 09:11

Okay, so we actually have a number of ocean engineers, marine scientists, naval architects. We used to have a Department of Ocean Engineering and Naval Architecture, but, anyway, it got merged into chemical engineering, into mechanical engineering. And the reason was, they had lots of graduate students, most of whom were from Greece, okay, or Korea or Japan. They had almost no undergraduates. And it turns out MIT really does care about undergraduate education, okay, more so than graduate education. But that's another story we can talk about sometime.

p13 09:45

Okay, so the point is, metals can deform, bend before they break. This is the yield point of materials, if you had some mechanical engineering, or even if you were in some of the other fields, you've learned about stress-strain curves and some course of mechanics. Over here where it's red and sort of colored up, this is brittle behavior. And these are all steels. Intergranular fracture, which is a type of fracture you get with hydrogen embrittlement, with stress corrosion cracking in some steels, is very brittle. The metal doesn't deform, it just snaps. Not quite as brittle as cast iron, and certainly not anywhere near as brittle as glass, okay, but it's still brittle.

p14 10:29

Uh, cleavage fracture, um, which if you look in a lot of books they'll call it brittle, but in fact it's a three and a half percent strain. There are some textbooks or definition dictionaries that define this transition between brittle and ductile as anything above a half a percent strain is ductile. If it'll take a half a percent strain. In general you like to design with at least three to five percent strain, because you have some flexibility. You'd love to design with twenty or thirty percent strain. And you get ductile dimples, it pulls like taffy, okay.

p15 11:01

There is an example I have which you all, most of you played with as children, it's called Silly Putty. Okay, so Silly Putty— I can take Silly Putty— [Tom produces Silly Putty.] this is actually a double dose of Silly Putty, um, so it can be large enough. But I can take Silly Putty and I can pull on it and it stretches and it's ductile, okay. Actually it's a near-Newtonian fluid. But I can take the same Silly Putty and— now I have to get it a little thinner because I'm not that strong, get a little thinner— and I pull it like that and it's brittle. Remember doing that as a child? Okay. So you can pass that around, everyone can do their own experiment. [Tom hands the Silly Putty around the class.]

p16 11:52

I can talk about brittle and ductile in other terms. If I take a piece of paper— which it turns out paper is brittle, and I will prove it to you in just a second— I can pull on the edge of a piece of paper with several pounds of force, okay. If I put a notch in it, a brittle material is notch-sensitive, takes ounces, not pounds. That is the basis of the science of fracture mechanics. If you put a notch into something that's brittle, it will be notch-sensitive. And you can tell it's brittle because when you put it back together, it matches. There is no significant deformation in the paper, okay. If I try that with a piece of rubber, which is a ductile material— I pull this piece of rubber many times— or, sorry, I got a great big notch and I can't extend that crack in the rubber, okay. So the rubber actually deforms. You can actually see where it's all wrinkled at the tip. Someday I'll have to use a new piece, it's not wrinkled at the tip, but anyway.

p17 12:52

There's two things that are important in fracture mechanics. And this was all discovered, or studied extensively, at three places in the world just after World War II. And it had something to do with a naval problem during World War II. Anybody know what the brittle fracture problem was in World War II? Liberty ships. And here— [Tom produces a bound report.] MIT's library 15 years ago was throwing this out. Actually they were selling it for two dollars, and one of my graduate students picked it up for me. This is the report of an investigation on the design and methods of construction of welded steel merchant vessels, from July 1946. I look in the beginning here just for you Coast Guard folks. First signature is a rear admiral in the U.S. Coast Guard engineering chief. Down here we have the vice admiral chief of Bureau of Ships, which would probably be— and there's a guy James Forrestal, if you ever heard of him, was Secretary of the Navy at the time, okay.

p18 14:00

If you look at the data in here— 4,694 welded steel merchant vessels were built by the Maritime Commission. These were not all Liberty ships, some of them were T1, T2 tankers, okay, but in any case. 970 suffered casualties involving fractures. By casualty I mean a metal casualty, not a person casualty. They probably— some of them probably suffered the other type too. But 24 sustained a complete fracture of the strength deck, one vessel sustained a complete fracture at the bottom, eight vessels were lost, four broken in two, and four were abandoned after fracture occurred. 26 lives were lost in these structural failures, anyway.

p19 14:47

So here's the statisticians coming around, coming out. The most famous picture is this one, which shows up in many textbooks. This is the Schenectady lying at dock, okay. View of, uh, USS, of SS, not US— view of SS Schenectady after splitting in two at her outfitting dock, okay. So just been built, hadn't been out to sea, and they got two ships for one. Okay, here's one of the— so, SS Manhattan, taken at sea. Not a good day for the people on the SS Manhattan, okay. And as you can see, the blimp up there, uh, one of two blimps it says. Anyway, there's a number of pictures in here, uh, that you don't usually see. You know, there's a completely split-in-two ship, okay.

p20 15:39

Well, it turns out they failed for two reasons. The steel was somewhat brittle, so it was like paper as opposed to rubber. And they had notches, and the notches were due to welding defects. It wasn't, the welds were necessarily bad— they weren't perfect, actually. Sometimes during World War II, people would take the stick electrodes— if you've ever seen stick electrode, that's what they welded the ships together with in World War II, mostly— and they were sort of tired a long day on a big thick weldment, they would throw a bunch of these electrodes into the groove and weld over them. And no one was doing X-rays to see that they just put a huge defect into a piece of armor plate, okay.

p21 16:27

Speaking of armor plate, where's my— oh here it is, down here. So we'll pass this one around, this is a little heavier. Let me put it up here first. It's not dirty, it's just I don't like to scratch everything up. [Tom produces a thick weld sample.] This is a weld— I'll tell you the story, this came out of a forging press. It's about an 18-inch thick weld. This is the type of weld that they would have been making. And here's the weld, okay, I'll pass it around. I can't try— I counted once, somewhere between 400 and 600 passes. There are some sharp edges on this so I will pass it around, so be careful, don't cut yourself, okay. [Tom hands the weld sample around the class.] That's how they welded battleship armor, which could be 14, 16, some cases 18 inches thick.

p22 17:19

We no longer know how to do that. And I'll tell you the story of how we tried to weld that together unsuccessfully when the forging press broke after 60 years of service and some guys came in to try to weld it. But they were very good welders, no defects in that weld, but lots of residual stresses. And the first time— it didn't even, first time they welded it, and they didn't do the proper welding procedure, it cracked before they even got it off the welding platform, okay. The next time they did a little bit better job, they got it back onto the press. And the first time they tried to forge a truck wheel— this was at the, uh, this was not Alcoa, this was, uh— there's two big plants that make aluminum truck wheels for the big semi-trailers and tractors. This was not Alcoa, it was the other plant. It was a, I think an 8,000-ton press. And the first one they hit, got another crack because of residual stresses and improper welding procedures, okay.

p23 18:25

So it turns out, uh, because of the Liberty ships— actually not because of that press or something. There were a lot of people that were very concerned, and three places in the world, um, did big studies in the 19, late 40s and early 50s to understand this brittle fracture in these welded steel ships. One was a place— a guy Richard Weck, um, who when I was starting out as a young welding engineer in the mid-70s, became the director general of the British Welding Institute. So he got on his bicycle— he was at Cambridge University— and he got on his bicycle as a young 20-year-old, in his 20s or something, and he drove his bicycle out to Abingdon, which is near Cambridge in England. And he found a nice field, and then he went back and he convinced the British government to start the British Welding Institute, which now is one of the biggest and best known welding institutes in the world. They've done excellent research over the years. Richard Weck became Sir Richard Weck, one of the most arrogant men you will ever meet. But you won't meet him, he's dead now. But nonetheless, that was one place where they studied brittle fracture of welded steels, and he convinced the British to do it because the British Admiralty wanted to know about these ships too.

p24 19:55

The other place was a place called the Naval Research Laboratory, and a guy William S. Pellini, who wrote this little monograph. He was formerly superintendent of the Metallurgical Division of the Naval Research Lab. Uh, whose laboratory is the Naval Research Lab? [pause for student response] Nope, NAVSEA is Carderock. Office of Naval Research, right. So the 6-1 money, research lab is NRL. The 6-2 research money, one of the 6-2, but NAVSEA in particular, so— NRL has to do aviation, you know, NAVAIR, NAVSEA, everything else, they cover the whole Navy because it's the basic research laboratory of the U.S. Navy. Carderock is the basic research, right, not basic but the applied research.

p25 20:51

Now they have a little bit of 6-1 money, and NRL has 6-2 money and other things, but— you probably don't, do you know what 6-1, 6-2 money is? Okay. Yeah, 6-1 is basic research, it's supposed to be basic scientific research. The Naval Research Lab has produced at least one Nobel laureate, okay, uh, Jerome Karle [Karle], who won the Nobel Prize in chemistry uh, back 40 years ago. They've done a lot of things. They sort of did a lot of the basic work for the whole GPS system of the world, right. But anyway, it's a very— it's a prestigious scientific laboratory.

p26 21:30

The applied laboratories, which NAVSEA and NAVAIR have, 6-2 money— you owe most of the money, it's not in the most the money. These little pots, these are pots that Congress puts in the budget. These are line items in the budget. So when the Secretary of Defense says I want this much money for 6-1, this much, the Navy will get this much basic research, the Army will get this much and stuff. And if you're a Marine, you're getting in there with the Navy, right, um. 6-2 is applied research, where they're looking at corrosion. They might be looking at corrosion science and under 6-1, but they're looking at corrosion applied to aluminum for lightweight vessels. And then there's 6-3 and 6-4, a lot of which is done at Carderock, which is exploratory development or, and in advanced development. And then you get into the seven numbers, okay. There's seven numbers where they actually are building prototypes.

p27 22:27

So if they built the Sea Cliff submarine, or earlier they built the Alvin submersible back in the 60s— I mean, just last week or whatever, the Alvin had its 50th anniversary, which is sort of a joke because it's not the same Alvin. He's been reborn twice, most recently about five years ago as a completely new from the ground up vessel. But, you know, anyway, that would be bigger money, like tens of millions of dollars to build something like the Alvin. The new Alvin, I think, cost about 40 million.

p28 23:04

Anyway, so Pellini started out doing research and he developed things where you make sure you got nice ductile steel when it was welded. One of the things he came up— you'd— whoops, what'd I do, I lost— [Tom fiddles with the slide controls.] it's on here, did I lose it here, that's all that's on, must be one of these buttons or something. Here we go.

p29 23:41

Okay, so you weld a steel plate, this one is brittle. And they found that steel, when it gets cold, can become very brittle, okay. And cold just happens to be around room temperature. So there's this ductile-brittle transition temperature that people really learn to— they actually knew about it before this, but they didn't really worry about it. And it's measured in energy in foot-pounds. And since, um, Pellini was interested in submarines, he basically started the explosion bulge test. And you have this big cavity with rounded things, you put a plate on here. And so here's your test plate in this 14-inch diameter test specimen. These are expensive tests. I mean, an explosion bulge nowadays might run you $50,000 or $100,000. And they go to some place, like they used to have White Oak, now they probably go somewhere out even further away from the world, um, like Aberdeen or something. I don't know if they go to Aberdeen, that's an Army lab. Anyway, um, set an explosive charge off, and they actually charge several charges off, and they keep on deforming this test plate by different amounts.

p30 24:52

And sometimes they get brittle fractures, sometimes they get a bulge before the thing fractures all the way, sometimes they get great big nice ductile things before it finally starts to tear. And they can correlate that to things like this, okay. So Pellini did all kinds of work on figuring out how to weld ship steels. And along with that came in the mid-50s, the building of the Nautilus nuclear submarine out of HY-80, okay, which was also a program that was started at U.S. Steel, um, by the Navy to develop a higher strength steel. The submarines in World War II were basically kind of, I don't know exactly what they were, probably 50 ksi steel. HY-80 was 80 ksi yield. So you had a big improvement in depth capability. And then Rickover, you know, developed the nuclear reactor so they could stay under, go underneath the pole and everything, so anyway.

p31 25:57

But what— and then the third place where they did work— Welding Institute in Britain, Naval Research Laboratory— was a place called MIT in the Metallurgy Department. And Morris Cohen and Ben Averbach were two people who had a nice gravy contract from ONR for 10 or 15 years to look at brittle fracture. They were doing really the science aspect as opposed to the more applied things, okay.

p32 26:22

So what people learned was, back in the 1860s and 70s, people sort of learned, if you were going to try to build a bridge or something out of steel— and remember what did they didn't do, they didn't make things out of steel before 1870s. Anybody know why? Now, they made swords, but these are— the steel cost almost as much as gold to make steel before the 1870s. [pause] Yeah, the Bessemer process. Henry Bessemer came along in 1854 and he taught people how to make steel. You cannot melt steel with a normal hydrocarbon flame. I mean, you can use coal, you can use oil, you can use methane, but you can't melt steel in air. You can get about two or three hundred degrees from the melting point. And in my welding course, when you watch on video, I will bring in some— you'll see me bring in some propane torches and MAPP gas torches and put a steel wire in there and I can't melt it, okay. So you can't melt it.

p33 27:34

But Bessemer learned how to preheat the air coming in and get hotter combustion, and showed people with the proper design of a Bessemer converter, he could preheat the incoming air and he could melt steel. So now they had a way to melt steel. Before that they had wrought iron, which was basically a process of taking iron ore and putting into a reducing gas atmosphere and making solid porous chunks of iron. And that was wrought iron, okay, and that was easy to work. Before that they also had cast iron, and we'll talk about what cast iron is. Cast iron, um, was one of the first industries brought from the old world to the new world.

p34 28:16

And probably in one of these, I don't know if you'll get one of these modules where I talk about the cast iron business, but in England in the 1500s they had an energy crisis, okay. And the energy crisis was, they were running out of trees. And there were three uses of trees. One was to make charcoal to make glass, which was a very expensive thing to have, glass in your home, in the windows. The other was to make cast iron, to make iron, because you needed to make cannon, okay, and things like that for the military. And the third use of big trees was to make ships. And in fact, I read from this book called Out of the Fiery Furnace and talks about, they passed laws that you could not cut down trees anywhere within three miles of the Thames River, okay, because if you wanted a big mast for your ship, you needed a big tree. And it took like a whole forest to build a man-of-war, okay. They were running out of trees to make charcoal to make iron. And what do they have in the new world? They had forests, okay.

p35 29:23

So they brought over Saugus Ironworks. And if you've got some time this summer— actually they will give you a day off later— go up to Saugus, Massachusetts and go through the national park, which is the Saugus Ironworks, okay, and learn about how to make iron. Anyway, what they knew from the 1850s and, or 60s and 70s, is you could measure the force of fracture of a bar of steel, and that would allow you to calculate, because they had actually developed beam theory. You could calculate how strong something would be, and that way you could size the parts, uh, rather than just making things ten times larger than they needed to be, which is what they did out of stone and brick and things like that, and the cathedrals and the Roman aqueducts and stuff. They actually could calculate to use the least amount of material. They still had safety factors of five and ten because cast iron was sort of brittle and they knew that.

p36 30:19

They got to steel that wasn't brittle most of the time, and they could start to build railroads. And Andrew Carnegie was richer than Bill Gates or Warren Buffett in his day and time, on an equivalent basis. He was the richest man in the world because he took over the steel mills, okay. Uh, so steel was king, uh, so far as that goes. But what they had was— here, we can pass this around, um— what they had was, they had learned, even though they had the science of fracture mechanics since, uh, 1925, in 1950s they learned that you needed not just the force of fracture, you needed to know the energy of fracture, okay.

p37 31:18

I could have had a piece of rubber that would fracture at a force like a rubber band, okay, smaller cross section, that might fracture with less force than the piece of paper. But the rubber band at least would be ductile and stretch before it finally snapped, whereas the piece of paper might break suddenly at the dock. So if you build paper boats, don't float them in water. Paper's not very good in water. Anyway, so what we have is, today we look at fracture toughness versus strength.

p38 31:57

We got a sunny day, we don't usually have that. [Tom adjusts the projector / pulls up an Ashby plot.] There they come, okay. See if I can stop it, okay. So this is what's called an Ashby plot, by this guy Mike Ashby. Used to be at Harvard, now he's retired from Cambridge in the UK, which is where he started. One of the great material scientists, mechanical engineers of my generation, um, okay. And an Ashby plot— what Mike Ashby learned was, if you run out of batteries, your pointer doesn't work, um. You use another pointer, a green one, okay.

p39 32:54

He can plot the fracture toughness, which is like an energy of fracture— it's related by the fracture mechanics to the energy of fracture, it has funny units, megapascals per square root of meter. We can talk about that later if you want. Versus strength in megapascals. And you can put all the materials in the world in certain classes. The metals are up here. What you want is something that's very tough and very strong. The metals are up here. The ceramics are over here. They might be reasonably strong but they're not very tough. In fact, the iso lines, sort of equal strength and toughness, ratio of K-1-C squared over pi times the fracture strength— these are ratios, and that comes right out of the fracture mechanics formula. You'd love to have something that's way, actually, way over there. But nature sort of keeps strength and toughness, energy and force of fracture, sort of aligned, except for ceramics and pottery and bricks, which is what people used to use.

p40 33:59

But here's your woods, your plastics are— where am I, fine, well, there's low-density polyethylene. So my plastics and my woods are in here. Foams and polymers are down here. Well, I don't usually use foams and polymers for structural materials. Balsa wood should be on here somewhere, but it's way down. Oh, here's balsa wood, way down here. So here's perpendicular grain and parallel to the grain, if we're talking woods, okay. So here's the woods, there's balsa, these are the woods, these are the plastics. This is perpendicular to the grain where you can split things easily. Rocks, ice, okay. So you can see where everything is. What's at the top? Steels, nickel alloys, titanium alloys. Aluminum is actually not so good, magnesium's not so good, among the metals. But they're a heck of a lot better than everything else.

p41 34:54

So I've now spent a half an hour telling you about the history of engineering and telling you about why we use metals. And we haven't even gotten— but that's the first part of welding metallurgy, is why do we use metals. Why do we use— or why is Tom Eager to spend most of the next four hours of lecture over the next few days talking about steels?

p42 35:27

Well, the answer is quite simple. There's also a paper written by one of my favorite authors, at least I understand what he writes, me, okay, called "The Future of Metals." Paper I wrote, and has this plot I stole from somebody, was in this paper from 23 years ago. And of, not have all the— out of 100 pounds of metal made in the world, 95 is steel, okay. And that's partly because that previous plot that I showed you, what is the highest toughness and strength— it's the steels. That outer boundary is exactly the same as the steels. Nickel and titanium are almost as good. But you can probably guess, why don't we make everything out of nickel and titanium? [pause] There's not— yeah, it's expensive. It also, there's not enough of it, okay.

p43 36:18

If I actually look at how much of some of these things we have— we make one and a half billion tons of steel a year, okay, in the world. We make 45 million tons of aluminum. People are talking about using more aluminum and more magnesium in cars. One of the problems is, 40% of all that aluminum goes to beverage cans, ta-da. [Tom produces a beverage can.] We'll do a demonstration with that later, okay. It goes with beverage cans. And so, if the automotive guys really started using lots of aluminum, there's not enough aluminum in the world. There could be, but who's going to put the billions and tens of billions of dollars into aluminum production unless they know the market's there? So it's a chicken and egg problem, if you don't—