Symbolic Parametric Representation of the Area and the Second Moments of Area of Periodic B-Spline Cross-Sections
The calculation of moments of area is one of the most fundamental aspects of engineering mechanics for calculating the properties of beams. While circles, rectangles, ellipses and their combinations, can be described symbolically and thus derivable, these symbolic expressions are missing for freeform cross-sections. In the recently published article Symbolic Parametric Representation of the Area and the Second Moments of Area of Periodic B-Spline Cross-Sections in the Journal of Applied Mechanics, a symbolic description of the moments of area of various parametric representations of such B-splines is computed and compared with alternative computational methods. The article is available open-access.