Buckling Coefficients Research Articles

The Plate Buckling Coefficient

SummaryThe stability of a compressed plate is examined, using the energy method, with transverse deflections defined by a function giving the exact shape, but never specified. By this means it is possible to make observations about the form of the plate buckling coefficient. This form is examined tor two cases of loading, and it is demonstrated that a close approximation to the complete curve linking the buckling coefficient with plate aspect ratio can be deduced. The method is applicable to single plates or thin walled members consisting of an assembly of plates, and enables families of curves connecting buckling coefficients with aspect ratios to be summarised in a single relationship.

Stability of circumferentially corrugated sandwich cylinders under combined loads

Theoretical buckling coefficients are obtained for the general instability of simply-supported, corrugated-core, circular sandwich cylinders under combined loads with the corrugations oriented in the circumferential direction. The differential equations of equilibrium which-are used to obtain the buckling equations are derived from the small deflection equations of Stein and Mayers which include the effect of deformation due to transverse shear. Approximate solutions to the differential equations are obtained by Galerkin's method. The resulting Galerkin equations are solved for the critical buckling coefficients with the aid of a digital computer. Curves that predict the critical buckling load are presented for axial compression, external lateral pressure, and torsion. In addition, curves are given for the combined loads of axial compression and external lateral pressure, torsion and internal or external lateral pressure, and axial compression and torsion.

Plastic Buckling of Longitudinally Stiffened Plates

Formulas are developed which define the plastic buckling coefficients for a simply supported plate stiffened by longitudinal stiffeners and subject to uniform compression in the direction of the stiffeners. The equations are developed by consideration of the strain energy of plastic buckling. The cases considered in detail are the plate stiffened by one, two, and an infinite number of stiffeners. I t is shown that design charts of the buckling coefficients can be readily developed for very long stiffened plates. An approximate method is presented which permits evaluation of the plastic buckling coefficient for stiffened plates with any aspect ratio.