I wouldn't suggest screwing anything that is going to take any kind of weight into the bottom of a piece of particle board. Gluing isn't going to do much either... particle board is very prone to splitting/seperating. Is there any way that you could attach a 1/2 inch thin board across the underside of the desk, lengthwise, and attach it to the metal framework of the desk? Put a few screws through the board into the particle board as well, so it doesn't sag. Then attach the tray to that piece...
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