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Curved Column Buckling

Curved Column Buckling

Curved Column Buckling

(OP)
I am using a resource to determine the buckling allowable for a curved beam under combined bending and compression, but I do not know where the resource comes from.  It is a scanned copy that has been handed down from other structure's guys and I have no way to reference it.  

I have attached a copy of the portion that I have in my possession.  If anyone can help me locate where this is from, I would greatly appreciate it.

Thanks in advance.

RE: Curved Column Buckling

(OP)
Thanks for the response.  Can you tell me which text of Shanley's that it is from?  

Thanks

RE: Curved Column Buckling

Isn't a curved beam simply a post-buckled beam? I deal with carbon fiber tubing and it behaves pretty much as a constant force spring once it buckles from an axial load.

RE: Curved Column Buckling

i'd suggest you look up beam columns (see Bruhn, Niu) ... the analysis looks like a short cut method for beam columns.

not sure i like the hand written notes ... P is surely the applied axial load, PE is clearly the euler column load, P0 is the true column allowable

 

RE: Curved Column Buckling

(OP)
I think there might be a slight misunderstanding as to what I am looking for here.  All I need is a reference source for the two pages that were copied from a text.  

The handwritten analysis is not relevant and has nothing to do with what I am currently working on.  It was inadvertently scanned in with the text.  

This is a frame that is formed in the shape of a curve, not a post-buckled beam.  

I have done the Euler calculation for a straight beam and am using the chart to find a knockdown factor for a curved beam of equivalent cross-section and length.

Hope that clears up what I am trying to do.

Thanks   

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