The optimum shape of an arch under non-symmetric loading conditions

摘要

An arch is a structural element that aims to reduce flexural moments while also spanning an open space. For this reason, the shapes of loaded arches have always attracted scientists and engineers. The analytical expression of a loaded arch under different loading conditions advances knowledge and precision. This paper presents the analytical expression of an arch under different gravitational loading conditions, including non-symmetrically distributed and punctual loadings. Several numerical examples and one experiment are shown in detail.