Abstract: Buckling of a cantilever with a doubly symmetric thin-walled cross section and with one flange laterally restrained is treated by a direct variational method. The critical load is tabulated in terms of a geometric parameter ...

Abstract: A complementary energy principle for dynamic analysis due to Toupin is critically examined. It is found that the variational principle is a necessary but not a sufficient condition for geometric ...

Abstract: A geometrically nonlinear curved‐beam finite element is derived and is applied to the load‐deflection and buckling analysis of shallow and deep arches. The element stiffness properties are derived relative to a moving ...