Things began to go wrong with Four from the beginning. Built in a Portland, Maine shipyard, it was completed in June of 1957. While a convoy was towing it to its permanent location, a sudden storm struck and damaged the tower. (For those with an engineering bent, it tore off the diagonal cross braces on the legs). Because of the cost and time delays involved in towing it back for repair, the tower was installed anyway (the civilian contracter said that the damage could be repaired on-scene). This problem was especially serious because TT-4 had legs more than twice as long as the other towers and needed these missing supports. Divers later installed an extra piece to compensate, but it proved insufficient for the task. Even modest waves caused the structure to tremble (earning it the nickname "Old Shaky"), and over time the bracing was compromised. Again, divers attempted to repair it, but in September of 1960, Hurricane Donna destroyed the patchwork repairs with 132mph winds and 50-foot waves [Ray1965].
Source: http://seastead.org/commented/paper/ocean.html#Things_began_to_go_wrong_with_Four_from_the_beginn