doi:10.3850/978-981-08-7920-4_S2-S24-cd

ABSTRACT

The yield capacity curve of a steel channel section with a linear stress/strain distribution can be solved using the analytical approach illustrated in the author’s two books on the subject. The variables considered are the dimensions of the channel section, the position of the capacity axis and the yield stress of thematerial. The free body diagramisdrawn to indicate these variables and the line equations to define the sides of the channel section and the linear stress/strain function. The required equations are derived using only basicmathematics. Fromthese equations the yield capacity curvewhich encompasses all cases of loading on the section is developed. This analytical procedure thus provides a solution without using the current standard interaction formula for biaxial bending. The numerical example showed that the analyticalmethod of solution yields the most accurate and realistic resultwhen predicting the true capacity of a channel section.

Keywords: Biaxial bending, Capacity curve, Exact method, Linear stress/strain, Yield stress.

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