When I got home from work yesterday SWIMBO informed me that a shelf in one of the kitchen cabinets had fallen down because two of those little plastic brackets the shelf rests on had broken off, leaving their stems in the holes in the sidewall of the cabinet.
The first time I ran into this situation maybe thirty years ago my first thought was to drill out the broken off stems so I could shove new brackets into the holes.
That didn't work out very well, the drill wandered off and enlarged the holes and in one case broke through the outside surface of a cabinet wall requiring some patching and refinishing.
That's when it dawned on me there was a better way to remove those broken off bracket stems. I've used this method several times over the ensuing years with success every time. I'll share it here for those who haven't figured it out themselves already.
I take a Number 8 sheet metal screw about 1-1/4 inches long, hold it by the head with a pair of pliers and heat the pointed end of the screw with our small kitchen torch until it's just short of red hot.
Then I just press the screw into the plastic stem as far as it will go and wait a couple of minutes for the screw to cool off. When I can touch the screw without searing my fingers I grab it with the pliers and pull it and the plastic stub out, leaving the hole in the wood in unscathed shape. Try it, you'll like it.
Jeff