![]() If a = 2, this equation becomes a circle, while if a = 1 it describes a straight line. ![]() A super-ellipse has an equation of the form This is based on the observation that the form of the M x – M y interaction diagram can conveniently be represented by a super-ellipse. An example is the approach given in clause 5.8.9(4) of EN for the design of biaxially bent sections in slender columns. There are however simplified methods of dealing with biaxial bending in reinforced concrete structures. The force and moment at each strip in the x and y-axis can be summed up in the ultimate limit state to find the moment and axial force developed by the concrete in compression. To develop such a program, one can divide the compression zone into strips that are parallel with the neutral axis of the section, and calculate the stress in each strip using the parabolic-rectangular diagram. This may not be very easy to achieve without the use of charts or computer programs. The columns circled in red are biaxially loadedĮN 1992-1-:2004 (Eurocode 2) did not give an express method of designing biaxial columns other than working from the first principles.
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