Sentence examples for formulas for buckling from inspiring English sources

Design formulas for buckling strength are proposed.

Simple approximate formulas for buckling loads of fixed arches with box-sections are proposed based on the extensive FE results for structural designers to use.

The corresponding formulae are compared, in different examples of geometrical shells, with the results obtained by finite element simulation and by the formulae for buckling design given in recommendation EC3.

Based on the analytical solutions developed in the paper, fitted formulae are given for buckling coefficients and the interaction curve.

The nonlocal governing equations of motion for buckling and vibration of the SLGSs with simply-supported boundary conditions are exactly solved and explicit formulae for the frequencies and critical buckling load are derived.

If the lining is critical, the method gives formulas for the buckling pressure, the bending moment and the axial force.

It is demonstrated that the American Petroleum Institute design formulas for inelastic buckling are sufficiently conservative to predict the strength even for this asymmetric member.

However, steel capacity formulas for local buckling and collapse are inadequate for direct application to titanium pipes subjected to bending and high external pressure.

In this paper, simple closed-form analytical formulas for the buckling loads N011 of compressively loaded orthotropic composite and isotropic plates braced by longitudinal stiffeners are derived.

Simplified formulas for the buckling coefficients in terms of the parameters describing the skin sheets are developed and shown to agree well with published results and finite element analyses for particular limiting cases.

A good agreement among the proposed analytical solutions, experimental testing, and finite element method is obtained, and simplified explicit formulas for flexural torsional buckling of cantilever beams with applied load at the centroid of the cross-section are developed.