The most common and most likely answer to this crossword clue is the 11 letter word ABLE-BODIED
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Buddy explains!
The straight part
We know that "Strong" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case strong = able-bodied.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does ABLE-BODIED mean?
ABLE-BODIED adjective- Having a sound, strong body; physically competent; robust; fit for service.
- Capable of performing all requisite duties as a seaman, specifically in the Royal Navy, a rating between leading and ordinary.