Title:Error: Operation aborted (Exception from HRESULT: 0x80004004 (E_ABORT)) or unable to add selected web part(s). Operation aborted.
Scenario: "Every thing was fine until today morning" - that's the kind of surprising face you might have all of a sudden and from no where one of the above errors might appear on the site when ever you try to modify some thing.
Resolution: Any modification is a write operation to the database. Since you might not be able to get more details as you see the above errors, its worth checking some options.
#1. Check the SQL Log File, the Database size and Database Space available.
#2. Check the Log Files. It might be that the log file is full and writes are blocked.
#3. Other most common issue is that there is less space on the drive.