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Information Junky
Join Date: Mar 2001
Location: an island, upper left coast, USA
Posts: 73,167
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A quick glance...
The top and bottom surfaces of the beam take the majority of the load.
A 2x6 will not likely be carrying a lot of load. I would use some steel nail-plates or similar to span the thin parts of the hole. That's it.
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Everyone you meet knows something you don't. - - - and a whole bunch of crap that is wrong.
Disclaimer: the above was 2¢ worth.
More information is available as my professional opinion, which is provided for an exorbitant fee. 
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