Abstract

AbstractThe Eurocode uses the Effective Width Method for the Cold Formed Steel design and this method is currently based on the semi‐empirical Winter formula. This formula is based on the von Karman's approach which considers that the ultimate load on a compressed thin plate with large deflections is reached when the critical stress of the plate effective width is equal with the yield stress. Winter modified the formula in order to match the experimental results but there are numerous cases in which the formula underestimates the strength capacity. Also, the formula has no input for the initial geometric imperfections. This paper presents a semi‐analytical alternative based on the trigonometric series representation of the displacement field. The procedure is applied to the uniform compressed rectangular plate with simply supported edges (internal plate of a thin‐walled member) and with one free longitudinal edge (outstand plate). This new approach considers the initial geometric imperfections with various shapes.

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