If nothing runs other than the momentary spinning of the PS fan(no other fans, lights, etc.), then reset CMOS.
You will have to check your MB's manual on how to do this.
If that's ok, then make sure that the voltage selector switch on the PS is positioned for the correct voltage in your house(115 or 230V).
If ok, then make sure that the CPU's fan is securely and properly connected to the correct MB terminal.
If ok, then make sure that the main PS connector at the MB is firmly inserted. Sometimes it needs a healthy push to properly seat.
If ok, then remove the main PS connector, and check for anything abnormal with either that connector's contacts or with the contacts on the MB's connector.
If ok, then start the system with the PS connected to the MB, and install a small jumper wire on the PS's main connector between its green wire and any black wire(The jumper wire can be installed on the back of the PS's connector).
If the PS fan does not run, then the PS is bad. Replace it.
If the PS fan runs, then check the PS voltages with a voltmeter(do this with the system on and the PS connected to the MB):
Yellow and black wire - +12V
Red and black - +5V
Orange and black - +3.3V
If any of the readings are way higher or lower than the above, then the PS is bad. Replace it.
If the voltage readings are ok, then do a barebones setup with only the PS, MB, CPU, power button, and system speaker connected.
If you do not hear any beeps, then either the CPU or MB is bad. Swap them out to find the culprit.