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How will they work out issues such as the weight ? The mass will have a weight (at least for the first 100 km of the shaft material) which will tug at the space station it will be connected to. The only way to counter that, is for the station to be circling around the earth but it will have no choice of speed since it must constantly stay at the vertical of wherever the elevator base is anchored to.
Also what material will be strong enough to not snap and break on such an extraordinary distance ?
What happens when there are storms, strong winds ?
What about the countless myriads of debris floating around earth, what happens when they (and they will sooner or later) crash on the elevator shaft material ?
the idea is great but actually making it work seems like a very long shot.
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