I'd like to custom install Ikea PAX sliding doors into my existing closets, recessing them into the closet opening. My idea is to create a custom "frame" simulating the Ikea closet frame onto which to install the Ikea mounting hardware. The Ikea hardware is designed to slide onto a 3/4" thick frame.
My question is: would a 3/4" x 3/4" wood molding screwed onto a 1.5" x 6" or a 2" x 6" wood plank be able to support the 130 lb Ikea doors? The top rail would be screwed onto the molding and the weight of the sliding doors would rest entirely upon this molding.
See the photo below to illustrate the design. In this picture the sliding doors would be mounted to the molding and the doors would face left (the inside of the closet would be to the right).
I can screw the molding to the larger wood piece every foot and also use wood glue between them. I have no experience in wood working and such a small molding seems like it might not hold up. Thanks!