Buckling of Thin Cylinder under Combined External Pressure and Axial Compression

Abstract

In this paper a deflection function with undetermined coefficients is used to determine analytically the bifurcation buckling load of a cylindrical tube under combined external pressure and axial compression using Donnell's simplified equations. This procedure can be adopted for various types of prescribed boundary conditions. In order to demonstrate the feasibility of this method, only the fixed-end conditions are considered for solution in this paper. The results obtained for the fixed-end conditions indicate that the critical buckling value depends on the ratio of thickness to radius and not on the ratio of radius to length and the critical buckling value decreases as the ratio of circumferential compressive stress to axial compressive stress increases. The buckling interaction curve for combined radial and axial compression for this case appears to follow a straight line indicating a uniform percentage decrease in the axial compressive load from the theoretical classical value for uniform axial compression. di tO 08 __ bi,b2bi,t>2 Cl,C2,Ci,C2 Cij = ij D E ei,e2