The analysis of axisymmetric shells of arbitrary shapes subjected to arbitr
ary loading has attracted considerable attention. If one considers the Four
ier series of the circumference direction of loads and displacements, an ax
isymmetric tank subjected to a nonaxisymmetric load can be treated as a 1D
problem. This paper combines the foundation and element stiffness matrices
to make a circular plate element resting on an elastic foundation. This fin
ite-element stiffness matrix is then converted into a transfer matrix to re
duce the unknown quantity of the degrees of freedom of the element, no matt
er how many elements the shell structure has. Nonaxisymmetrically loaded cy
lindrical tanks resting on an elastic foundation are analyzed by the transf
er matrix method. The calculated results of the proposed method to the nona
xisymmetrically loaded cylindrical tanks on an elastic foundation surprisin
gly reduced the degrees of freedom compared with the existing method.