The Broyden Method for M-P-Φ Relationship of Beam-Column with Residual Stresses

Abstract:

The Broyden method for the numerical calculation of Moment-Thrust-Curvature (M-P-Φ) relationship of beam-column is put forward, which is suitable for all combinations of moment, thrust and curvature considering the effect of residual stresses. The relationship problem is simplified as two nonlinear equations of four variables. When two of the 4 variables are given, the relationship can be obtained by Broyden method. The advantages of Broyden method are discussed and the iterative calculation process is listed. The method offers significant improvements in accuracy, robustness and calculation amount of the solution, which can be used for beam-columns with any type section.

• Periodical: Advanced Materials Research (Volumes 712-715)
• Pages: 1071-1074
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.712-715.1071
• Online since: June 2013
• Authors: Jian Qin, Yong Jun Xia, Jin Miao Zhang
• Keywords: Beam-Column, Broyden Method, M-P-Φ Relationship, Residual Stress

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