On the Stability of Continuously Supported Beams.
NEW YORK UNIV BRONX DEPT OF AERONAUTICS AND ASTRONAUTICS
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When analyzing the stability of continuously supported beams, on foundations which exhibit a linear response, it is usually assumed in the literature that the buckling load is P sub cr, the load at the bifurcation point from the straight state. This is based on the tacit assumption that in the post-buckling response curve, the load is monotonically increasing, away from the bifurcation point. The purpose of the present paper is to show that this assumption is not always justified. As example, the compressed semi-infinite elastic beam on a linear Winkler foundation is examined. It is shown that the post-buckling response curve exhibits a lower buckling load P sub L P sub cr. Author