The analytical evaluation and finite element methods are used to analyze the critical
stability of the shallow spherical roof of oil storage tank with an axial symmetrical corrosion region.
At first, the nonlinear finite element method is adopted to calculate the global critical load of the
storage tank roof, and the local corrosion region is equivalent to a circular corrosion pit with uniform
depth. The results show that the tank wall and inner pressure of the stored oil have slight effects on the
stability of the roof. To build the formula of local critical load of the tank roof, the circular corrosion
pit is separated from the whole roof and treated as a shallow spherical shell which is elastically
supported on the rest part of the roof. The equivalent support stiffness is obtained by the deformation
compatibility at the edge of the corrosion pit. The resulted nonlinear stability equation is solved with
a modified iteration method to determine the local critical load. The local critical load for an
in-service corroded oil tank roof is analyzed by the proposed approach and the results are compared
with those calculated by the conventional nonlinear finite element method with good agreement and
the geometrical parameter of the corrosion region corresponding to the minimal critical load is 9.5.