I would get the model number and post it up when you get a chance.
Google'd Storm 600W and got this
link to Scan.
Single 12v rail @ 24A, thought there was a misprint so I checked again here
, same thing.
A quality 600W power supply should have 40A-50A on the 12v rail(s), so unless I'm completely missing something that PSU should be replaced before anything else.
But, with a quality
600W power supply, yes you would be fine running a 1055T and a GTX 460.
Please read through the thread thoroughly before responding.
Nobody wants to read a wall of text, formatting is your friend.
i5 3570k | 8GB G.Skill 1600MHz | R9 290 | SeaSonic 750X