A finite element method capable of predicting the buckling capacity of
arbitrarily shaped thin-walled structural members under any general l
oad and boundary conditions is presented. A rectangular thin plate ele
ment with 30 degrees of freedom is used. The linear and geometric stif
fness matrices for this element are derived explicitly using symbolic
manipulation, thereby eliminating the need for the expensive process o
f numerical integration. Further, the explicit form of the stiffness m
atrices makes it easier to interpret the physical significance of the
various stiffness terms. For sections composed of rigid flanges and fl
exible web, a lower-order plate element is used in combination with a
general beam-column element to form a super element for predicting dis
tortional buckling modes. Formex formulation is used for the automatic
generation of the data necessary for the analysis. Numerical examples
of thin-walled structural members involving local, distortional and f
lexural-torsional buckling modes are presented to demonstrate the accu
racy, efficiency and versatility of the method.