On the optimal shape of a compressed column

Abstract

A new numerical solution to the Lagrange problem is presented. The solution is compared with a priori estimates obtained recently. Also we derive a new relation that shows that the cross-sectional area at the middle of the optimally shaped column is larger than the cross-sectional area at the ends. Our numerical experiments confirm that conclusion

Elastic Buckling of Steel Columns Under Axial Compression

“…Earlier investigation on this issue was given in the study of Keller [35]. And then several studies were performed on this topic [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50].…”