Between the ’50s and the ’70s of the last century a class of analytical forms, the so called parabolic velaroid surfaces, were widely used to design thin reinforced concrete shells due to their ability to equi-librate design loads by pure membrane actions. These forms are obtained as an approximate analytical solution to the differential equation corresponding to a compressed membrane subjected to a uniformly distributed vertical load. The same equation furnishes an analytical solution in the form of a series. The membrane equation is also solved numerically by an iterative implementation of the finite difference method. These numerical solutions are compared in terms of funicular efficiency by evaluating the generalized eccentricity and estimating their R-funicularity.
Marmo, F., Gabriele, S., Varano, V., Adriaenssens, S. (2020). R-funicularity of analytical shells. In Lecture Notes in Mechanical Engineering (pp.947-957). Springer [10.1007/978-3-030-41057-5_77].
R-funicularity of analytical shells
Gabriele S.
;Varano V.;
2020-01-01
Abstract
Between the ’50s and the ’70s of the last century a class of analytical forms, the so called parabolic velaroid surfaces, were widely used to design thin reinforced concrete shells due to their ability to equi-librate design loads by pure membrane actions. These forms are obtained as an approximate analytical solution to the differential equation corresponding to a compressed membrane subjected to a uniformly distributed vertical load. The same equation furnishes an analytical solution in the form of a series. The membrane equation is also solved numerically by an iterative implementation of the finite difference method. These numerical solutions are compared in terms of funicular efficiency by evaluating the generalized eccentricity and estimating their R-funicularity.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
