This paper derived the buckling equation of single-step column with no drift at its upper end used for double-span or multi-span one-storey shop building.

Based on the three-dimensional equilibrium equations and constitutive equations of magnetoelectroelastic medium,a state equation of stability for rectangular orthotropic plate is derived and solved imposing the corresponding boundary conditions,and the numerical example of the critical stress is given to verify the deduced buckling equation.

Based on the theoretical analysis, the general buckling equation of semi-rigid frame column is deduced.

The paper has obtained the yield controlling equation of the combined spherical shells with different materials based on Mohr s criterion,and has analyzed the contact pressures,stress fields, displacement fields of the shells in partial yield or complete yield state.

The new and exact buckling bifurcation equations for the circular conical shells are studied.

By the aid of differential geometry analysis on the initial buckling of shell element, a set of new and exact buckling bifurcation equations of the spherical shells is derived.

A set of new buckling bifurcation equations of conical shells is derived in application of Koiter s initial post buckling theory.

By considering the nonlinear term in Hellinger-Reissner variation principle, the buckling formulation in Hamilton system is derived.