Second-Order Elastic Analysis of Gable Frames Utilizing Tapered Members and Partially Restrained Connections

Past research and questions raised by practicing engineers have indicated a need to look further into the structural behavior of gable frame buildings, primarily second-order bending moments and lateral sway. Limited research has been conducted in the area of gable frames, of which, the combined effects of tapering members and semi-rigid connections on these frames has not been considered. It was the goal of this thesis to explore these effects on building behavior in typical gable frame structures. This thesis includes a finite element derivation of a tapered, beam-column element which includes a non-linear connection at the member ends. Also, a discussion of nonlinear analysis procedures and a computer program capable of performing a nonlinear elastic frame analysis is provided. Typical frame configurations for a parametric study conducted were formulated using typical parameter variations found in the metal building industry. The results provided by this study allow for discussion of the sensitivity of second-order behavior (rafter and column moments, and vertical and lateral deflections) resulting from variation in frame parameters. It is concluded that the second-order moments found in the rafter and columns were small, or could be considered negligible, when compared to the first-order moments obtained in the frames analyzed