The smiles of sturdy supporters (5)
I believe the answer is:
beams
'the smiles' is the definition.
(I've seen this before)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for beams that I've seen before include "Smiles; joists" , "Rays of light" , "Shines" , "Smiles broadly or sunnily" .)