The main aim of the paper is a presentation of the results obtained for the stochastic analysis concerned steel chimney with the height equal to 40 meters and subjected to the random wind loading. Analysis was performed using generalized stochastic perturbation technique based on a Taylor expansion and traditional Finite Element Method. Polynomial response functions of the observed design parameters such as deflections of the top of the structure, bending moments or transverse forces are numerically determined via symbolic algebra system MAPLE with the Least Square Method embedded in this system. The presented computational procedure including both dynamic and stochastic analysis can serve as a tool for the reliability estimation of slender, lightweight structures.
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