A No Signal message comes from the monitor, not from the computer. It means the computer isn't working. If nothing has been touched inside the system, it sounds very much like something was electrically damaged when the shut down/ power up occurred.
Probably best to take it to a repair shop to get it checked out. But first, check all power boards plugs and power leads to be sure that the problem isn't actually between the wall outlet and the computer. If there are any noises from the PC, like fans spinning etc, then it's highly likely a fault somewhere causing this.
The only thing you can do yourself really, if you are handyman minded, is to open up the case (make sure it's disconnected from power) and carefully check that all plugs components and cards are firmly and securely plugged in. Sometimes a display card working loose in its slot can cause this, or a monitor lead not plugged in securely etc etc.....
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Grandad
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since Mar 2004