A floor plate is suitably sized to receive a wheelchair and also supports a base frame along rear and side edges. Prepositioned brackets on the floor plate secure the base frame using quick-connect fasteners. Opposite side portions of the base frame carry elevated, horizontal, tubular, side housings that telescope over elongated exercise bars. A fastener secures each exercise bar in a housing at a variably selected degree of insertion. An upright tube at the rear of the base frame has an open top forming a socket. An upright standard engages the socket and carries an overhead bar supporting a transverse crossbar over the center of the floor plate. The ends of the crossbar, the front ends of exercise bars, the front end of the floor plate, and various other locations on the base frame carry C-shaped attachments for clip-on resistance members. The attachments are sized to serve as handgrips. Casters on the rear edge of the floor plate are moved into ground-engaged positions with the upward tilting of the front of the floor plate, which is aided by the use of handgrip attachments on the front of the floor plate. Fasteners securing the base frame to all other components are quickly released for rapid disassembly of the exercise frame, enabling it to be transported by hand or by vehicle to a next site.