While there are many discussions about The Dead PC (google that) the basics remain that you reduce the parts count to bare minimum. For beeps (if your motherboard does the beeps) you don't need a case, RAM, video card, drives or all the fans. I get beeps on boards that do beep with just the PSU, motherboard, CPU, HSF (heatsink and fan) and the speaker.
If these few parts don't beep I'm looking at the bad or misconfigured parts.
I'll repeat. LESS PARTS. NO CASE. Use the motherboard cardboard box to hold and insulate the motherboard for the test.