Das Eulersche Knickproblem unter Berücksichtigung der Querkräfte

Abstract

The effect of shear forces and other stress components on the buckling load of a prismatic bar of arbitrary slenderness, hinged at both ends, is considered for the cases of narrow rectangular (plane stress or strain) and elliptic cross sections (three-dimensional problem). The problem is solved, using the asymptotic method, and the buckling loads are obtained as series with increasingly minor corrections. The results are then compared with the approximative ones of Euler, Engesser, Biezeno and Haringx. © 1971 Birkhäuser-Verlag.