27. Close is preferable to shut before nouns.
When I talk to you, I feel as if I'm standing in front of a closed door . (NOT a̶ ̶s̶h̶u̶t̶ ̶d̶o̶o̶r̶.)
He's got a closed mind. You can't tell him anything. (Not:..̶a̶ ̶s̶h̶u̶t̶ ̶m̶i̶n̶d̶)
Extracted from Practical English in Usage Third - Edition 132.