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The article is devoted to the lateral-torsional buckling of elastic beams loaded with a potential moment. Such problems were previously investigated in a linearized formulation. The prebuckling deformations of the beam is not considered in this setting. We use the nonlinear geometrically exact beam theory and an exact non-linear solution in our article. The exact spatial stability functional and stability equations are obtained by the variation calculus. The exact value of a critical moment for the cantilever beam was obtained. [ABSTRACT FROM AUTHOR]

The buckling behavior of slender unreinforced masonry (URM) walls subjected to axial compression and out-of-plane lateral loads is investigated through a combined experimental and numerical homogenizedapproach. After a preliminary analysis performed on a unit cell meshed by means of elastic FEs and non-linear interfaces, macroscopic moment-curvature diagrams so obtained are implemented at a structural level, discretizing masonry by means of rigid triangular elements and non-linear interfaces. The non-linear incremental response of the structure is accounted for a specific quadratic programming routine. In parallel, a wide experimental campaign is conducted on walls in two way bending, with the double aim of both validating the numerical model and investigating the behavior of walls that may not be reduced to simple cantilevers or simply supported beams. Panels investigated are dry-joint in scale square walls simply supported at the base and on a vertical edge, exhibiting the classical Rondelet's mechanism. The results obtained are compared with those provided by the numerical model. [ABSTRACT FROM AUTHOR]