Turn the pedestal table upside down so the tabletop is resting flat on a work surface.
Slide a putty knife between the loose parts on the table to separate the two parts of the joint enough to squeeze wood glue into it.
Squeeze wood glue into the loose joint and slide the putty knife out from between the two parts. Press the parts together.
Stand the pedestal table upright. Spread the bar clamps open and center them over the wooden parts. Squeeze the clamps to tighten the parts back together.
Wipe off any excess glue that oozes out from the joint with a damp cloth. Allow the wood glue to dry for 24 hours and remove the clamps.