Abstract:
Nonlinear analysis of structures, which include second order effects is complex to compute. To simplify this, design codes provide approximate analysis methods. This thesis looks into the capability of approximate methods from ES EN 1993 and AISC 360 in determining second order effects due to P- δ and P-Δ effects. A nonlinear analysis with a commercial software SAP2000, which is commonly used in analysis of structures, was also evaluated.
A total of six cases with varying member configurations, load arrangement and support conditions were considered in this thesis. Moments at column nodes are considered for evaluation. The results from Abaqus were used as reference for comparison, after verification of Abaqus was conducted first. In the verification, three benchmark problems were considered. The results obtained were very close to the exact results, thus Abaqus was used as a reference for the analyzed frames. As the aim is to evaluate the effectiveness of the analysis methods in determining second order effects, only additional moments due to second order analysis were considered by subtracting the moments from first order analysis.
While results from ES EN moment magnification method were inconsistent, the AISC moment magnification method results were on the conservative side for the majority of the cases. Abaqus and SAP2000, on the other hand, were able to consistently and adequately predict the second order moments.