Abstract
In order to rationally evaluate the stability of columns in flexibly jointed and braced frames, the governing equations for determining the effective length factor ( K-factor) of columns are derived considering the effects of the non-linear moment–rotation characteristics of beam-to-column connections. In this study, to derive the equations, the alignment chart approach is used and a recent study on the stability of flexibly jointed frames and the concept of the Shanley's inelastic column buckling theory are applied. With a proper evaluation of the tangent connection stiffness for semi-rigid beam-to-column connections at buckling state and with the introduction of the modified relative stiffness factors, the alignment chart in the present AISC-LRFD specification can be used to find the corresponding column K-factor in flexibly jointed frames. This is described in this paper. Furthermore, using two flexibly jointed and braced portal and one-bay two-story frame examples, the effects of the non-linear moment–rotation characteristics of connections on the K-factor are numerically studied and the K-factors obtained by two simplified methods are compared with the present method.
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