Broad smiles from supporters (5)

I believe the answer is:

beams

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'broad smiles' is the definition.
'beams' can be an answer for 'smiles' (I've seen this before). I am unsure of the 'broad' bit.

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for beams that I've seen before include "Smiles; joists" , "Shines" , "Smiles broadly or sunnily" , "Rays of light" .)

I've seen this clue in the Evening Standard.

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