A city on an alien desert needs to expand, here is the method I feel should be cost-effective and cheap.
Use the image below for reference.

- A square area is mapped out and leveled off for the expansion.
- Small Trenches are dug to form a grid in the soil, dividing the expansion into even squares. The trenches are lined with concrete or another wall to prevent collapse.
- A flat disc with a large threaded hole is placed in each grid corner and intersection.
- Cables are laid in the trenches and wrapped around the disks in each corner. If you pull the cable from the edge, the disk rotates like a pulley, turning the threaded hole. All the pulleys are linked together.
- Each grid square has a ceiling tile laid on top of it. At the corners, the tile is cut away and the threaded hole below is exposed.
- In the threaded holes at each corner and intersection, Columns are installed. They have threads matching the disks. The columns are leveled and then guyed to the center of each ceiling square touching it. The columns are slightly taller than the planned ceiling height.
- When complete, a large ceiling made of symmetrical square tiles is laid on the ground, connected at each edge, and supported at the corner by a column.
- Finally, the four walls are built to box the ceiling in.
The cables are posted down to the ground at the edge. When the cables are pulled, the columns in that line rotate. The disk travels up the threads of the column, and the ceiling lifts.
This is done slowly, as breathable air is pumped into the gap between the ground and lifting ceiling.
In the end, all ceiling tiles are at the design height, supported by the columns at their corners and by guys at their centers. A new space is finished up by sealing the gaps, and is ready to move in.
I imagine expanding by several acres at a time this way, making large open spaces without lots of time out in the hostile air.
Does this construction method have a name and is it a sound idea?