Mechanical model for determining the critical load of plane frames with semi-rigid joints subjected to static loads

Abstract

On behalf of my co-authors, I would like to thank you for the opportunity to resubmit a revised copy of this manuscript entitled "Mechanical model for determining the critical load of plane frames with semi-rigid joints subjected to static". I would also like to take this opportunity to express our thanks to the reviewers for the positive feedback and helpful comments that have led to the improvements. Using feedback received from the reviewers, the article has undergone major revisions to its content. A new section has been added, entitled "Significance of the research", new material has also been added to the Introduction, and the references list revised accordingly. The contribution to knowledge of the article is now more firmly established and clearly spelled out. We believe have resulted in an improved revised manuscript, which you will find uploaded alongside this document. The manuscript has been revised to address the reviewer comments, which are appended alongside our responses to this letter. We have also included a separate document that highlights the differences between the work of Chen et al. that the reviewer referred to and the current study. This was not included in the article as it was not an aim in itself, however it is now referred to and briefly described in the revised manuscript.

Influence of joint rigidity on the elastic buckling load of sway and non-sway steel frames

“…2) at each end, is considered. The modified stiffness matrix including both the effects of axial force and connection flexibility, one needs to consider different situations [10].…”

Numerical model of beem-to-column joint finite stifness

“…This practice document is a result of many years of research in steel structures. There are also another practical codes that also take into consideration joint behavior: the US in AISC-ASD, LRFD, AISC-ASD/LRFD, and China in the UK [11,12,[16][17][18].…”

Linear analysis of two-dimensional semi-rigid frames

“…Artar and Daloğlu [17] obtained a more economical design by using the genetic algorithm method for different structures. Ihaddoudène et al [18] proposed a mechanical model considering elastic buckling load in plane steel frames and stated that elastic buckling load acts strongly in semi-rigid structures. Ghassemieh et al [19] included P-Delta effects and material and geometric nonlinearity in all models to investigate the effect of flexibility of extended end plate connections in steel moment frames.…”