In AISC 360-16, the Direct Analysis Method (DM) has been set as the primary method for the stability design of frames. DM, considering initial global sway imperfection, is essentially Geometrically Non-linear Analysis (GNA) in which tangent modulus is used. The aim of this thesis is to provide stiffness reduction factor formulations for using GNA coupled with tangent modulus approach for the stability design of stainless steel frames. GNA with the proposed stiffness reduction factor is aligned to AISC 360-16 and it is aimed at facilitating greater and more efficient use of stainless steel. In accordance with current design standards, the ultimate limit state for this method is the formation of first plastic hinge, and the adequacy of the method is confirmed through member-based resistance checks.The focus of the thesis is the development of flexural stiffness reduction factor formulation for the in-plane stability design of stainless steel elements and frames with cold-formed square hollow section (SHS) and rectangular hollow section (RHS). The proposed beam-column stiffness reduction factor (tMN) accounts for the deleterious influence of material non-linearity, residual stresses and member out-of-straightness. The use of a GNA coupled with the proposed tMN eliminates the need for member buckling strength checks and thus, only cross-sectional strength checks are required.
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