If I'm going to build a giant greenhouse in Oklahoma, it's going to need to be weather resistant. A slack covering over a grid of 10-foot-tall supports won't work. If you consider the cost of structural supports will likely dwarf the tent covering, different architectures probably make more sense.
I would suggest a half-torus with major radius 0.25mi and minor radius 0.25 mi. The structural shell would be a tensegrity grid, with the covering affixed over it. That's 790 acres of covering over 502 acres of land. You're going to need a lot of steel cable, and a few truckloads of rigid 50' pipes. You will also need at least two types of pipe-to-cable junction.
Sprinklers under the apex ring (0.25mi above the ground) could easily irrigate the covered area from a fixed position, without rotating, and condensers above the apex ring could recycle water out of humid exhaust air and feed it right back into the sprinklers. There would be no moving parts at all, other than in the groundwater pump and sprinkler heads. You have one ring-shaped pipe (a gutter could work, if the sprinkler heads don't require pressure to operate) to supply the sprinklers that is 1.57mi long, and one pipe from ground to apex ring 0.39mi long.
But with center-pivot, you only need a well pump, 0.5mi of pipe, A-frame supports, and wheels. But then you lose water to evaporation and transpiration. So I think giant greenhouses could not appear until the aquifer dries up, and water costs skyrocket. Even then, I'm not sure it wouldn't be better to just put a bunch of mirrors and a collector tower up, and transmit the solar energy to a vertical farm that is closer to a cheaper, more reliable water source.
I would suggest a half-torus with major radius 0.25mi and minor radius 0.25 mi. The structural shell would be a tensegrity grid, with the covering affixed over it. That's 790 acres of covering over 502 acres of land. You're going to need a lot of steel cable, and a few truckloads of rigid 50' pipes. You will also need at least two types of pipe-to-cable junction.
Sprinklers under the apex ring (0.25mi above the ground) could easily irrigate the covered area from a fixed position, without rotating, and condensers above the apex ring could recycle water out of humid exhaust air and feed it right back into the sprinklers. There would be no moving parts at all, other than in the groundwater pump and sprinkler heads. You have one ring-shaped pipe (a gutter could work, if the sprinkler heads don't require pressure to operate) to supply the sprinklers that is 1.57mi long, and one pipe from ground to apex ring 0.39mi long.
But with center-pivot, you only need a well pump, 0.5mi of pipe, A-frame supports, and wheels. But then you lose water to evaporation and transpiration. So I think giant greenhouses could not appear until the aquifer dries up, and water costs skyrocket. Even then, I'm not sure it wouldn't be better to just put a bunch of mirrors and a collector tower up, and transmit the solar energy to a vertical farm that is closer to a cheaper, more reliable water source.