Gene:
I was born in Dallas and have seen my share of foundations since beginning in the construction business in 1975. I have remodeled and inspected homes with slab foundations built in the 40's and early 50's, but they are rare.
The real changeover began in the early 60's with Fox and Jacobs, Centennial, and their ilk. Slabs were cheaper to build (and still are) than pier and beam foundations. Not only due to lesser material prices, but also because it takes a much more sophisticated set of skills to construct a wooden undercarriage on concrete piers and beams than it does to build a box and dump concrete in it. Any idiot can do that.
The plot thickened and the price of construction dropped with the advent in the late 60's of the TAMU-designed post-tension slab-on-grade foundation. This took even less materials and the same low level of skill than the steel-reinforced slabs. P-T slabs do not perform any better on these expansive soils, they only cost less. OK, if meticulously designed, installed and maintained, they may do a better job of controlling cracks. But, that's all, and only in a perfect world.
Interestingly, during the transition period from P&B to slab foundations the builders took to installing planter boxes across the fronts of their houses houses to make them look like the P&B foundations that were using that style. Of course, all of the planter boxes created water intrusion and termite issues that are still being repaired today.
Aaron
