@inproceedings{083c52801e634a52a987eda968038f7e,

title = "R-funicularity of analytical shells",

abstract = "Between the {\textquoteright}50s and the {\textquoteright}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.",

keywords = "Analytical shells, Form finding, Funicular analysis",

author = "Francesco Marmo and Stefano Gabriele and Valerio Varano and Sigrid Adriaenssens",

year = "2020",

month = jan,

day = "1",

doi = "10.1007/978-3-030-41057-5_77",

language = "English (US)",

isbn = "9783030410568",

series = "Lecture Notes in Mechanical Engineering",

publisher = "Springer",

pages = "947--957",

editor = "Antonio Carcaterra and Giorgio Graziani and Achille Paolone",

booktitle = "Proceedings of 24th AIMETA Conference 2019",

note = "24th Conference of the Italian Association of Theoretical and Applied Mechanics, AIMETA 2019 ; Conference date: 15-09-2019 Through 19-09-2019",

}