When i assemble my box together, gotta have plenty of all sorts of clamps- clamps, L clamps, furniture clamps, they all come in handy.
I use Titebond II\III as the adhesive glue, then i use Liquid Nails as a bracer\sealer inside the box on all corners\adjacent pieces then I finish that off with silicone along the same areas as the Liquid nails.
A Good Tip-
If you get a lot of Liquid Nails on our fingers because you spread it with your finger, spread silicone with your finger too, //content.invisioncic.com/y282845/emoticons/smile.gif.1ebc41e1811405b213edfc4622c41e27.gif silicone mixed with LN will get it off your fingers in no time.
Also, if building a smaller box, i use 6" L brackets every 12in on all 6 sides of box if necessary to maintain strong structure where 2 pieces meet. The 6" L brackets have a 10-12" structural strength radius before it looses effectiveness.
If building a large box, bracing with 3\4" All-thread with 1\8" Steel runs from point to point will give outstanding bracing strength. Finish the All-Thread off by welding ALL cross sections inside the box. I always glue the steel as well to make sure that all areas between point A and point B are connected with the steel.