A simple pin-pin column , and the Euler buckling load is Pi^2/L^2*EI. If I have a uniform lateral load, then the deformation of column as a bow, what will be the new Elastic Buckling load, is it going to be same ?
I understand that any axial load, increase the bow deflection by 1/(1-P/PE) , where P is axial load and PE is Euler buckling load (straight case). so the buckling in case of lateral load is still at P=PE, then deformation tends to infinite ?
Dear Shishir, You take into account a weight of horizontal beam with pinned ends? So You should calculate a lateral load in every sectional and introduce in equation a shear deformations. I 'd advise You to use my method presented in our recent paper on buckling (see my profile). I suppose, your column/beam is uniform and imperfectness are not regarded.
The shear deformations contributes in current column slope differently from point to point and therefore it affects a curvature.
You may use a cubic strain-stress diagram to account plastic properties of the column material.
All this is described in detail in our paper.
Best regards
Viktor
Buckling and post-buckling of a compressible slab under combined axial compression and lateral load
Fan-Fan Wang, Yuanbin Wang
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikVolume 97, Issue 6
First published: 09 January 2017
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