The best time to remove glue that squeezes out is about 30-60 minutes after the glue-up. At this point it's still soft enough that you can easily scrape it off but it's stiff enough that it won't smear and make more of a mess. When it's past that point and you realize you still missed some, the best solution is still to scrape with a card scraper and/or sand it.
Scraping works really well if it has only been a day or less and the glue is not yet rock hard. You should be able to sand by hand if you are worried about overdoing the sanding and gouging the wood. Use a flat sanding block for the flat areas and a foam-backed block for the curved parts. For the corners you can fold your sandpaper and back it with your fingers.
I don't think mineral spirits are likely to remove dried Titebond, and if you get a solvent that can dissolve it, how will you keep from just smearing it around into larger patches? This will be especially a problem on red oak, because of the large pores of the wood that will trap the dissolved glue. If you go this route anyway, I suggest trying it on some scrap before the real project to make sure it works as desired.
It might be good to consider a sliding dovetail.
Edit 11/16/13 To assemble your bed frame, the M&T joints with captured bolts with nuts to hold the corners together with the legs. Just as a mention, a good hardwood needs to be used for the assembly. regular 2X4, 2X6s and other similar materials used in the construction of homes will be too soft, and when the joints are put under stress SPF, Hem fir, etc is going to compress and loosen the joints. To use this material you need glue and screws to hold all this together. That is not an option for you I think?
To assemble this, white oak, ash, Black walnut and a dense variety of mahogany would be a good choice, if it is not cost prohibitive. There are other hardwoods too, just give a look. Red oak and Douglas Fir are hardwoods, but very prone to readily split under the stresses you are going to expose the joints to.
Another good thing about some hardwoods, is that you will not need the same dimension of material to have the same strength as 2X framing lumber.
The sliding dovetails are ideal for the cross members into the side rails. To use the same joint for the attachment of the legs would produce a weak joint in my opinion, I have seen it fail in pedestal table legs.
To dissemble this in time, and to ease the assembly, which sliding dovetails can be a bear to slide together, I suggest tapering the dovetail so as it goes in, the joint gets tighter, it doesn't need much, a 1/16th of an inch over 4 inches on each side would dramatically increase the ease of assembly/disassembly. A router jig with a bushing guide on the router would make the female cuts in the rails, and a router table with a tall fence and a shim on the appropriate corner of the support for the slats would cut the male dovetail. A push bock would be handy to control the top heavy stock for this cut.
Best Answer
Acetone or denatured alcohol will dilute and dissolve liquid urethane glue. However, they may not work on hardened glue. There are no practically-available solvents for that. You're left with mechanical removal of the crusty material.
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