As alternative to methods presented in several codes around the world to analyze chimneys, an analysis procedure based in the finite element method is presented. To achieve a reliable analysis, a stabilized incompressible fluid with an ALE scheme is used to simulate wind action. Geometrically nonlinear BST rotation-free shell elements are used to model a steel chimney and both schemes are coupled to simulate the fluid-structure interaction of chimneys. Shell elements without rotation degrees improve time solution due to a significant reduction of degrees of freedom in the geometrically nonlinear system. A strong coupling scheme with Aitken relaxation method is used to ensure convergence. Detailed theory for fluid, structure and interaction can be founded in . Differences between code analysis and the proposed procedure are presented for a case of study.