In Niven's Ringworld or Banks' Culture books, super large rotating habitats have so much unsupported weight on them that they would have to be composed of exotic matter. The largest nanotube design is about 1000km in diameter, and one made from steel processed from asteroids would top out closer to 8km.
In all these designs, the tensile strength of the base material supports the load.
In my design, the ring(s) are supported entirely by the gravity of an object they are orbiting and magnetism.
In the case of the earth, the altitude of low earth orbit is good for .95G if you weren't orbiting. If you built two rings around the earth at that altitude in zero G, with one ring on the inside and the other on the outside, they wouldn't have to be strong at all. If you start to spin the inner ring faster, it is going to attempt to expand, tearing itself apart and attempting to push on the outer ring. And if you slow the rotation of the outer ring down, it will become "heavy" and push on the inner ring, trying to collapse toward the Earth.
While we can't make exotic matter, we can make solar powered magnetic levitation systems. This system could be distributed evenly between the inner and outer rings, acting as a bearing between them. Now when you speed up the inner ring, it will push magnetically on the outer ring. But if you simultaneously slow the outer ring by the same amount, it will push in with an equal force to the inner ring pushing out.
If the two rings are of equal mass, they will peak out at .95G, because that is what you get when the outer ring is motionless. All of the load of the outer ring, which is heavy pointed down at the earth is supported, through the magnetic repulsion, by the inner right which is heavy pointed out away from the earth by centrifugal force.
However, that is just the most obvious balance point. If your base gravitational object does not make the desired amount of gravity, you can produce more centrifugal force on the inner ring by balancing it with a heavier outer ring. In other words, if the inner ring's rotation gives it a perceived 1G of centrifugal force but the planet only has .5G to pull on the outer ring, then doubling the mass of the outer ring will counter the inner rings outward pressure. In the end, it is just a system of balanced weights pushing against each other, and different rotation speeds above and below weightless orbit speeds are like a scale with two beams - you can have a short (slow) beam and a long (fast) beam but balance the scale by using more weight on the short (slow) side. Or if the desired object has too much gravity at the desired orbit, you keep both rings spinning but have their differential above and below zero G consistent for a 1G effect.
Since it is just a balance of inner and outer weight, the materials don't have to be any stronger than the surface of the Earth, so they could be simply fused asteroid slag. What makes this all possible would be the amount of solar power that could be collected and turned into magnetic levitation. Which isn't to say that any of this is simple, but it does mean that all of it uses physics and engineering that we understand - just on a much larger scale.
In all these designs, the tensile strength of the base material supports the load.
In my design, the ring(s) are supported entirely by the gravity of an object they are orbiting and magnetism.
In the case of the earth, the altitude of low earth orbit is good for .95G if you weren't orbiting. If you built two rings around the earth at that altitude in zero G, with one ring on the inside and the other on the outside, they wouldn't have to be strong at all. If you start to spin the inner ring faster, it is going to attempt to expand, tearing itself apart and attempting to push on the outer ring. And if you slow the rotation of the outer ring down, it will become "heavy" and push on the inner ring, trying to collapse toward the Earth.
While we can't make exotic matter, we can make solar powered magnetic levitation systems. This system could be distributed evenly between the inner and outer rings, acting as a bearing between them. Now when you speed up the inner ring, it will push magnetically on the outer ring. But if you simultaneously slow the outer ring by the same amount, it will push in with an equal force to the inner ring pushing out.
If the two rings are of equal mass, they will peak out at .95G, because that is what you get when the outer ring is motionless. All of the load of the outer ring, which is heavy pointed down at the earth is supported, through the magnetic repulsion, by the inner right which is heavy pointed out away from the earth by centrifugal force.
However, that is just the most obvious balance point. If your base gravitational object does not make the desired amount of gravity, you can produce more centrifugal force on the inner ring by balancing it with a heavier outer ring. In other words, if the inner ring's rotation gives it a perceived 1G of centrifugal force but the planet only has .5G to pull on the outer ring, then doubling the mass of the outer ring will counter the inner rings outward pressure. In the end, it is just a system of balanced weights pushing against each other, and different rotation speeds above and below weightless orbit speeds are like a scale with two beams - you can have a short (slow) beam and a long (fast) beam but balance the scale by using more weight on the short (slow) side. Or if the desired object has too much gravity at the desired orbit, you keep both rings spinning but have their differential above and below zero G consistent for a 1G effect.
Since it is just a balance of inner and outer weight, the materials don't have to be any stronger than the surface of the Earth, so they could be simply fused asteroid slag. What makes this all possible would be the amount of solar power that could be collected and turned into magnetic levitation. Which isn't to say that any of this is simple, but it does mean that all of it uses physics and engineering that we understand - just on a much larger scale.