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.