This paper presents a detailed finite-clement investigation into the a
xisymmetric failure behavior and strength of intersections of the larg
e end of a cone and a cylinder subject to uniform internal pressure. T
he study considers shells of uniform thickness with cone-apex half ang
les ranging from 10-degrees to 85-degrees and cylinder radius-to-thick
ness ratios from 10 to 1,000. Plastic limit loads from a small-deflect
ion elastic-plastic analysis are first presented. A rationally based s
imple equation is then established, which approximates the finite-elem
ent limit loads very closely and is suitable for future incorporation
in pressure-vessel design codes. The effect of large deflections on th
e load-deflection behavior is examined extensively for the covered geo
metric parameters for three different yield stresses. An approximate e
quation to assess the beneficial effect of large deflections on failur
e strength is also developed.