mine crushed before half an hour.it is a brand new 5760 , 5 months old. I tried to switch it on immediatelly but it did not work. After 10 minutes i put  the powercord again  and it started. I hope it does not crash again
I know this link is not the same model, but I have been having all of the exact same issues as mentioned in this article.  Anyone find a fix or report a fix for these issues?   DELL Precision 7530 crashes with Thunderbolt Port use - Dell Community
Dell Precision 5760 crashes.