Courage of everyone in supporting construction (9)
I believe the answer is:
gallantry
'courage' is the definition.
(I know that gallantry is a type of courage)
'everyone in supporting construction' is the wordplay.
'everyone' becomes 'all' (all people).
'in' is an insertion indicator.
'supporting construction' becomes 'gantry' (bridge-like structure).
'all' placed within 'gantry' is 'GALLANTRY'.
'of' acts as a link.
(Other definitions for gallantry that I've seen before include "Bravery" , "Heroism" , "Spirit of adventure" , "Chivalrous behaviour" , "Courteousness" .)