Processes for positioning, securing, and repositioning payload assemblies onto floor assemblies are disclosed. In one embodiment, a method includes forming a support structure having a plurality of elongated engagement members, each engagement member including an engagement surface adapted to support a load; forming an adaptable payload assembly that includes a payload member and at least one payload support coupled to the payload member, the payload support being adapted to transmit loads from the payload member to at least one engagement member, the payload support being moveable with the payload member relative to the support structure; and removeably coupling the payload support to at least one of the engagement surfaces of the engagement members. In an alternate embodiment, the engagement surfaces are at least one of approximately flush with and recessed below a lower surface of a panel supported by the support structure.