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Minimum Number of Load Increments in Second-Order Elastic Analyses of Steel Frames
Nadine Faramawi and Barry T. Rosson
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DOI:10.17265/1934-7359/2025.11.002
Department of Civil, Environmental and Geomatics Engineering, Florida Atlantic University, Boca Raton, FL 33431, USA
A relationship was discovered between the amplification factor and the number of load increments that are needed to limit the relative error to one percent in second-order elastic analyses with a predictor-corrector solution scheme. Previous research by the authors proposed a design equation to determine the required minimum number of load increments based on an evaluation of the elastic critical buckling load ratio. Further research has shown that an approximate amplification factor equation that is based on the B2 multiplier equation produces similar results when the amplification factor is less than approximately four. Eleven moment frames are used to verify the use of the new approximate amplification factor in the proposed design equation.
Nonlinear geometric analysis, amplification factor, load increment, structural frame.
Journal of Civil Engineering and Architecture 19 (2025) 523-527
doi: 10.17265/1934-7359/2025.10.002
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