Then scab on a 2 x 6 on each side. Another option might be to use steel.
^^This.
If you even need more room than between the joists. Perfectly acceptable practice if done well. Consider hiring a pro if you are concerned. (I believe this is referred to as "sistering" the joists.)
http://www.familyhandyman.com/floor...al-repairs-by-sistering-floor-joists/view-all
Walt
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