if you actually get to start the game and play for 5-10 minutes it sounds like faulty ram. Or overheated cpu. Or bad gpu drivers.

try updating chipset? i dont want to be one of those suggesting to run ramtest for 4 hours -.-

check windows event viewer for pointers in the right direction.

and btw. when you say crashing pc, how exactly does it crash. ctd? freeze? straight to restart, with or without windows logout?