What is the largest possible Rotating wheel space station?

AI Thread Summary
The discussion centers on the feasibility of constructing the largest rotating wheel space station using current materials, emphasizing the importance of specific strength, which combines tensile and compressive strength. The maximum radius for such a structure is suggested to be approximately double the breaking length of the materials used, with the breaking length being critical for understanding how much load the materials can support under centrifugal forces. The conversation highlights the distinction between live load and dead load, noting that the structural integrity of tension spokes is crucial as they must withstand their own weight and the forces generated by rotation. The analogy of cart wheels versus bicycle wheels illustrates the efficiency of design, where a bicycle wheel requires less material due to its structural configuration. The potential for cylindrical space elevators to support larger populations is also mentioned, indicating that increasing the cross-section of spokes could enhance the maximum radius, although geometrical limitations exist.
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What is the largest possible Rotating wheel space station possible to be constructed with current materials? and what would be the population it would support. also formulas used for calculation.would be useful.
Could constructing cylindrical space elevators support more population,
 
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DrStupid said:
The maximum radius is around double the breaking length. See https://en.wikipedia.org/wiki/Specific_strength for some values.
Why? From that wiki article, this measures a material's ability to hold itself up, which is compressive strength. Why would this be relevant? I would think the limiting factor would be tensile strength. When you spin a ring, the ring wants to rip itself apart, not collapse together.
 
Read the wiki again... It includes tensile strength.
What you also have is a measure of 'live load' and 'dead load'. How long and strong can you make tension spokes before they fail under their own 'weight' due centrifugal effects so can carry no rim loads...

Why this way around ? Think cart wheel vs bicycle wheel, and how much less structural material the latter needs...
 
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newjerseyrunner said:
From that wiki article, this measures a material's ability to hold itself up

"...when supported only at the top."

The factor two results from the linear increase of the centrifugal force with the radius (instead of standard gravity). As Wiki also tells you, the breaking length applies to a fixed cross-section. That means that the maximum radius (or payload) can be increased by increasing the cross section of the spokes towards the center. But this is limited for geometrical resons.
 
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