Computer shutting down mid game

[IdentityZER0]

So when I first received my computer back from Fedex it kept having random shut downs. So I installed a new power supply. Upgrading from 350 watts to 600 watts(Corsair Bronze Certified). Then I didn't have any problems. After the power supply upgrade I really wanted a new graphics card, as I only had a AMD Radeon 7750 so I upgraded to the GTX 970. Now while using the GTX 970 when I play H1Z1 and I have temps on(Msi afterburner and HWinfo64) I see that my processor is at 83.6 C which I know is far too high. During play in H1Z1 i was getting random shut downs. And when I say shut down I mean the computer completely turns of but if I hit the power button it will come right back on. So at this point I think I need to upgrade my Processor and or get better cooling for it as it has it must be the reason why the computer is shutting down. The processor also bottlenecks my GTX 970 in some games, maybe it is trying to perform its best with the GTX 970 causing it to run too hot and just overheat. Let me know what you guys think. Here are my specs
AMD FX-6300 6 core 3.5 ghz
GTX 970 EVGA SSC ACX 2.0+
8GB Ram
1 TB hard drive

 

[problematiq]

what is probably happening is one of two things. 1. your case sucks. I had one and it blew up power supply's due to terrible air flow 2. you need some thermal paste. bad paste or low amounts/none will cause they baby to turn red. though AMD was bad about it in the past, processor's today will throttle before they cause a thermal shutdown. also don't forget to clean your case and fans out every once in a while.

 

[IdentityZER0]

Does anyone else have any ideas?

 

[Neur0nauT]

Does anyone else have any ideas?

If your system is overheating, which it seems that it is. There are no other ideas. You need to take steps to cool it down. Unless you want your system to die a hot death. When it shuts down....that's it's way of shouting "heeeelllpppp I'm buuurrrrrnnniinng!"