On Buckling Loads of Timoshenko Columns with Elastically Supported Ends

Hua Zhang; Xiang Fang Li

doi:10.4028/www.scientific.net/AMR.446-449.578

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 446-449On Buckling Loads of Timoshenko Columns with...

On Buckling Loads of Timoshenko Columns with Elastically Supported Ends

Abstract:

The stability of Timoshenko columns with elastically supported ends under axially compressive force is analyzed. Characteristic equations are obtained according to an intermediate state between Haringx’s and Engesser’s models. For clamped-free, clamped-clamped, and pinned-pinned columns, buckling loads are given in closed form. The influences of elastic restraint stiffness on the critical loads are elucidated. Haringx’s and Engesser’s models are two extreme cases of the present. Critical buckling loads using Haringx’s model are upper bound, and those using Engesser’s model are lower bound.