Sounds like a possible kernel panic or RAM failure.
Start by removing half the RAM and restart. If you get a restart, then there's a bad RAM module in the batch you removed. If you don't get a restart, swap out the RAM you just removed. Narrow down until you find the culprit.
Sometimes kernel panics are caused by a bad graphics card. Do you have one you can swap out?
Also try to boot in SAFE mode and tell us what happens.
Start by removing half the RAM and restart. If you get a restart, then there's a bad RAM module in the batch you removed. If you don't get a restart, swap out the RAM you just removed. Narrow down until you find the culprit.
Sometimes kernel panics are caused by a bad graphics card. Do you have one you can swap out?
Also try to boot in SAFE mode and tell us what happens.