iMac Shuts Off When Seating Display Back into Frame

The power supply went bad in the Imac so I replaced it. The computer will boot with no problem now until I set the display back into its proper location. Even having it tilted out 2 inches it will work until I set it all the way back and then it shuts off. When everything is connected to the display all 4 led’s light up on the logic board and the screen works. Even with the screen completely disconnected from the motherboard it will shut off as I place it back into the frame!? I can disconnect the display completely and run the computer off of an external monitor. I’ve checked for loose cables and cannot reproduce this until I put the screen back in. Very strange situation! Any help is greatly appreciated!