In 2021 my cuz Amia Ross and three others proposed "Tall Towers on the Moon". On Earth the standard is the Gulf's Caliphburg. This has to deal with wind, and 9.8 ms-2 gravity. On the Moon there is no permanent wind although landers kick up some dust; gravity is 1.625.
Ross' crew wanted this for the south polar basin so they could get gigawatts of solar power all month long. I want it at the Lunar base of the spaceline, where I've banned landers. For here, let's talk how one might end up having to work inside a kilotower, if not live in there.
We both must endure radiation - including the Bremsstrahlung effect upon metals. Ross isn't living in the tower so doesn't care, except that she's not using rebar (nor any reïnforcement). I do want to reïnforce my tower: so, instead of steel, I'd use Jensen's anhydrous glass. Both are common on the Moon; in fact, any slag used to reduce metals could serve to feed the glasswork. I might still wire the innards for electricity because, like Ross, why not get free gigawatts (if only for half the month). I believe a little copper and silver will deliver much less pain than a titanium shell or even a lot of iron rebar would.
MS Copilot (beyond the flattery) is telling me that I can raise this monster into the low kilometers; Ross reckons higher. But I'd hardly start that way. I'd start with a Burj+ height of 1000 meters. Then build the kilometers-high shell around that, which would involve internal support atop that centre. It would keep growing around the spaceline which can itself serve as a central crane. Ross estimates that for the concrete - sans rebar - the structure must use 760 mt for 1 km height; 4100 for 2km.
Copilot is warning about supporting the Burj upon that regolith, but I'm scooping regolith away to concoct the anhydrous rebar, maybe some concrete if we get spare water. One hopes eventually to hit the basement rock of the nearside or deep polar basin, either-which should expose lunar-mantle basalt. I don't think this is to buckle much.
Concrete can be manufactured in the south pole at 2 mt per Earth day. It might at first need making down there, because it requires water (and megawatts). So I guess the pole has to shoot it to other Lunar outposts by mass driver. Luckily if it comes in goop form, that's water we hope to preserve, maybe even to start our own 2 mt/day factory.
What Rosses get inside the structure is a vast, shielded interior which we can water and oxygenate at a nice ~290s K (20ish C) without rusting the rebar. The exterior suffers temp swings over quite the timescale, so we'll need an insulating outer wall. Unless like Amia you're building it in permadaylight.
For whatever plantlife we're growing in the interior, the famous Biosphere had a problem: carbon-exuding life on the inside may carbonate the concrete instead of the ficus. So where we are sharing our space with plants, like hydroponics; we'll have to tile the interior as not to expose the concrete.