The castellated beams deflections calculated with theory of composed bars
DOI:
https://doi.org/10.5755/j01.mech.21.5.12181Keywords:
deflection, castellated beams, hexagonal openings, theory of composite bars, coefficient of rigidity of elastic lay, FEM.Abstract
In the article it was investigated deflections of the castellated beams using the theory of composite bars. Differential equation of the flexure axis of composed beam was integrated with Fourier series. Reliable expression for deflection was obtained due to good choice of the rigidity coefficient of elastic lay formed with web-posts. Analytical solution for deflection is applicable for wide range of perforations: ; ; . An accuracy of obtained relation was estimated with calculations by the finite element method. Divergence of results does not exceed 3%.
