Authors: Ida Mascolo; Marcello Fulgione; Mario Pasquino
Addresses: Università degli Studi di Napoli, Federico II, Via Claudio 21, 80125 Napoli, Italy ' Università degli Studi di Napoli, Federico II, Via Claudio 21, 80125 Napoli, Italy ' Università degli Studi di Napoli, Federico II, Via Claudio 21, 80125 Napoli, Italy
Abstract: This paper provides an approximate solution for the differential equations that govern the buckling of beams with a gradually changing of the thin-walled C cross section. This is a coupled problem of flexural and torsional buckling, whose exact solution is hard to get. We have therefore chosen to use an energy approach through the Dirichlet's principle. It allows, using the Ritz-Rayleigh algorithm, the quick implementation of a solution close to the real value of the critical load. Because of the complexity of the problem, it was considered appropriate to provide an experimental validation of the theoretical results with proper laboratory tests.
Keywords: buckling analysis; principle of minimum total potential energy; Dirichlet's principle; Ritz-Rayleigh method; variable cross section beam; coupled flexural-torsional buckling; shear centre position; imperfection sensitivity.
International Journal of Masonry Research and Innovation, 2019 Vol.4 No.1/2, pp.150 - 158
Received: 08 May 2021
Accepted: 12 May 2021
Published online: 13 Nov 2018 *