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Stress analysis of generally asymmetric non-prismatic beams subject to arbitrary loads

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dc.contributor.author Vilar, M.M.S.
dc.contributor.author Hadjiloizi, Demetra A.
dc.contributor.author Masjedi, Pedram Khaneh
dc.contributor.author Weaver, Paul M.
dc.date.accessioned 2021-07-09T07:47:55Z
dc.date.available 2021-07-09T07:47:55Z
dc.date.issued 2021
dc.identifier.uri http://hdl.handle.net/10344/10327
dc.description peer-reviewed en_US
dc.description.abstract Non-prismatic beams are widely employed in several engineering fields, e.g., wind turbines, rotor blades, aircraft wings, and arched bridges. While analytical solutions for variable cross-section beams are desirable, a model describing all stress components for beams with general variation of their cross-section under generalised loading remains an open and important problem to solve. To partly address this issue, we propose an analytical solution for stress recovery of untwisted, asymmetric, non-prismatic beams with smooth and continuous taper shape under general loading, considering plane stress conditions for isotropic materials undergoing small strains. The methodology follows Jourawski’s formulation, including the effect of asymmetric variable cross-section, with internal forces as known variables. We confirm the non-triviality of the stress field of nonprismatic beams, i.e., the dependency on all internal forces and beam geometry to shear and transverse stress distributions. As a particular novelty, the new formulation for transverse direct stress includes internal forces derivatives, resulting in greater accuracy than state-of-the-art models for distributed loading conditions. Also, closed-form solutions are introduced for non-prismatic and linearly tapered, generally asymmetric beams, both with rectangular cross-sections. For validation purposes, we consider three different practical beam models: a symmetric and an asymmetric, both linearly tapered, and an arched beam. The results, checked against commercial finite element analysis, show that the proposed model predicts the stress-field of non-prismatic beams under distributed loads with good levels of accuracy. Traction-free boundary condition requirements are naturally satisfied on the beam surfaces en_US
dc.language.iso eng en_US
dc.publisher Elsevier en_US
dc.relation.ispartofseries European Journal of Mechanics / A Solids;90, 104284
dc.subject Non-prismatic beam en_US
dc.subject Tapered beam en_US
dc.subject Beam modelling en_US
dc.title Stress analysis of generally asymmetric non-prismatic beams subject to arbitrary loads en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1016/j.euromechsol.2021.104284
dc.contributor.sponsor SFI en_US
dc.relation.projectid 15/RP/2773 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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