“…The simple exact solution for an equilateral triangle, and the series solution for the square both date back to the middle of the 19th century. Work since then includes complex variable methods in [1, 9, 10] and various numerical studies including [11–14].…”
We present a simple lower bound for the torsional rigidity of a beam with regular polygonal cross-section. The methods used are applicable to other cross-sections, in particular to other tangential polygons.
“…The simple exact solution for an equilateral triangle, and the series solution for the square both date back to the middle of the 19th century. Work since then includes complex variable methods in [1, 9, 10] and various numerical studies including [11–14].…”
We present a simple lower bound for the torsional rigidity of a beam with regular polygonal cross-section. The methods used are applicable to other cross-sections, in particular to other tangential polygons.
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