Large circumferential compressive membrane stresses arise at the inter
section of the large end of a cone and a cylinder when subjected to un
iform internal pressure. Such intersections may fail by axisymmetric c
ollapse involving excessive axisymmetric inward deformations or by non
symmetric buckling. This paper presents a detailed finite-element inve
stigation into the nonsymmetric bifurcation buckling behavior and stre
ngth of these intersections. Buckling pressures of a wide range of she
ll geometries are found, leading to the establishment of accurate and
simple buckling strength equations. These equations are then used, tog
ether with the strength equations for axisymmetric collapse developed
in previous work, to define the range of shell geometries whose streng
th is governed by nonsymmetric buckling.