Assuming that we are talking about plastic-cased PSU's, I have the perfect solution.
Almost all computer-related plastic stuff, keyboards, mice, PSU casings etc are made out of a type of plastic called ABS.
ABS dissolves in acetone, and therefore can be solvent-welded using acetone.
Break up some scrap pieces of ABS, put them in a glass or HDPE (ie acetone-proof) container, and cover them with pure acetone (in the paint section of Walmart). I use an HDPE plastic squeezy bottle with a nozzle for easy application.
Leave it overnight, and in the morning you will have a gloopy, syrupy ABS 'goop'.
You can then use this goop to join ABS pieces together.
The joint (actually a weld) is far stronger than using epoxy or hot glue, as the pieces of ABS plastic are literally fused together as a solid mass.
I used this goop to attach plastic mounting brackets to all of the plastic components inside my cabinet; PSU, the project boxes which house my gamepad hacks, the amplifier, even the power strip.
The components were then attached to the cabinet using screws.
Once you make this stuff, you'll wonder how you ever lived without it.
I recently use it to repair the remote fob for my car when the keychain loop broke.