Will Adding Material Make My Piece Stronger Against Rotational Force?

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kolleamm
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I'm trying to decide whether to add material to my piece in this location and if it will make it stronger.
The piece is attached to a plate and will experience a horizontal rotational force. Will adding that extra piece in the design make it stronger?
 

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I would be more concerned about strengthening the thin section between the hole and the top radius on the component .
 
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I'll have to look into that as well, but there shouldn't be much force in that direction.