Deflection of a tube beam where hollow is off-center

AI Thread Summary
Calculating the deflection and ultimate bending moment capacity of an off-center hollow tube beam presents challenges due to its asymmetry. The beam's reaction and capacity will not be symmetric, complicating the analysis. The axis of the bending moment may not align with the cylindrical axes, affecting the direction of deflection. Understanding these complexities is crucial for accurate calculations. Further exploration into advanced mechanics may be necessary for those tackling this problem.
rkmore
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So I am trying to figure out how I can calculate the deflection and ultimate bending moment capacity of a hollow tube beam when the hollow portion is not concentric. A regular concentric tube is easy enough but this has me out of my depth.

I assume that it will no longer be symetric in its reaction and capacity but I am not really sure.

Any tips, links, or general thoughts to get me started in the right direction would be greatly appreciated.

Thanks...

RKM
 
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Is the axis of the bending moment in the same plane as the the two cylindrical axes?
 
Hmmm.. I want to say "no" but I can also see that complicates the problem considerably, the axis of deflection is (I think) no longer in the direction of the load :-(

Let's say "yes" for now and then if my brain doesn't explode trying to wrap itself around that problem I will try to tack the more complex case later.

RKM
 
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