A run-flat support system and method for installing the same are disclosed. In one embodiment, the run-flat support system includes a torque assembly removably coupled to a split wheel rim of a pneumatic tired wheel. Support segments are adapted for attachment to the torque assembly in order to support the pneumatic tired wheel in a flat condition such as an under-inflated condition or deflated condition. Lateral support structures, which may include the form of a wedge, are secured to the support segments to provide a bead lock between beads of the interior side walls of the pneumatic tired wheel and the split wheel rim.