Plate buckling under complex loading

Abstract

Long and thin cantilever plates loaded by bending moment often lose the stability. The solutions as the bend-ing moment is used are investigated, but as the loading is the bending moment and torsion moment, such problems are not analysed. In this study the buckling equation was obtained and it can be solved by the method of Lagrange constants varying. But mathematical difficulties arise as the buckling conditions are obtained. The engineering en-ergy method has more acceptability. Therefore the new solution of buckling equation was obtained in this study as the loading is the bending moment and torsion moment.