Geometrically non-linear analysis with stiffness reduction for the stability design of stainless steel structures: application to members and planar frames
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This paper focuses on the development of beam-column flexural stiffness reduction factor (tMN) applicable to the in-plane stability design of stainless steel beam-columns and frames with compact cold-formed square and rectangular hollow sections. The proposed tMN accounts for the deleterious influence of material non-linearity, residual stresses and member out-of-straightness. The use of a Geometrically Non-linear Analysis (GNA) with the proposed tMN eliminates the need for member buckling strength checks and thus, only cross-sectional strength checks are required. The proposed approach, aligned to AISC standards, is aimed at facilitating greater and more efficient use of stainless steel. Two types of tMN are proposed: analytical and approximate. The analytical tMN presumes knowing the maximum internal second order moment (Mr2) within a member. It is developed by means of extending the formulations for evaluating the elastic second order effects to the inelastic range. The accuracy of the analytical tMN is verified for beam-columns and sub-assemblages. Since in practical design Mr2 is not known in advance, an approximate expression of tMN, which is more likely to be used relative to the analytical tMN, is proposed by fitting variables to the analytically determined MN. The accuracy of the approximate tMN is verified for frames with different geometrical and loading configurations. Furthermore, the proposed approach is compared against the Direct Analysis Method (DM). Results show that, compared to the DM, GNA coupled with the approximate tMN provides improved estimations, since the proposed tMN can more accurately capture stiffness reduction resulted from material non-linearity and well capture additional second order effects due to material non-linearity
CitationShen, Y.; Chacon, R. Geometrically non-linear analysis with stiffness reduction for the stability design of stainless steel structures: application to members and planar frames. "Thin-walled structures", Març 2020, vol. 148, p. 106581:1-106581:19.
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