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An Extension of the Southwell Method to Columns in a Frame Structure

Shahin Nayyeri Amiri(1*), Hayder A. Rasheed(2)

(1) Kansas State University, United States
(2) Kansas State University, United States
(*) Corresponding author

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This paper shows an approach whereby the critical loads of columns in a multi-story frame can be determined by using lateral deflections obtained through matrix formulation. The deflection data of columns in a multi-story frame are obtained by including the effect of presence of axial loads in the member and structure stiffness matrices. Effects of initial bending moments are also included. The results prove that Southwell plotting technique used to determine the critical load of single column is also applicable to framed columns.
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Southwell Method; Framed Column; Matrix Formulation; Critical Load

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