The Superconducting Super Collider particle accelerator is currently under construction near Dallas, Texas, USA. As part of this project, large sophisticated pieces of equipment will detect and measure subatomic particles resulting from high energy, proton-proton collisions. These detectors will be housed in large underground halls up to 69 m deep, founded in competent Austin Chalk. The walls, mostly in the weaker Taylor Marl, are permanently supported by tiebacks, and the roof is permanently supported by columns. This paper presents the design concepts and analyses for the halls.