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W GIrder to HSS beam connection

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Yes. It is possible. The company I work for works almost exclusively with HSS tube and pipe and we regularly call out notches and copes. The cope can be cut with a hand plasma torch but will be much cleaner if cut on a CNC tube laser machine.
 
You can cope HSS at mtuhusky has described. I like your idea better though. I don't think that you have any eccentricity unless you're planning to do this on one side only. The plates are just flexurally continuous extensions of the HSS. For moderate loads a good solution is a WT welded to the HSS and connected to a shear tab coming off the wide flange. Concentric and cheap.

The greatest trick that bond stress ever pulled was convincing the world it didn't exist.
 
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