Mickstafa, the power supply, wich fails to output voltages when any kind of load appears, mostly means these reasons:
-The power supply's primary side has a defected puffer capacitor, wich leads to primary voltage drop down rapidly to a level that the PWM controller of the PSU fails to working.
-The primary switching transistor(s) has problem, one of the half bridge is not functional correctly
-One working resistor of the primary swithces died or changed value due to wear.
-The feedback of the psu is broken up, or incomplete
-Secunder electrolythic capacitor(s) failing
-Secunder rectifier(s) failing
-High frequency decoupling capacitor is broken
If You have knowledge to measure them, try the high current active devices first and their immediate vicinity and go for caps after them.