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Shear buckling near an end of a cylindrical tube where shear force (SFD) dominates; "local" buckling in the midlength region on the compressive side where the bending moment (BMD) dominates; extensive tube flattening combined with local midlength buckling of a very long tube

OMEGA-sub-u = (L-sub-u/r)[sqrt(t/r)]
in whiich t = tube wall thickness and r = tube radius to the middle surface of the tube wall

From the same paper as the previous image.

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