Scarica qui il programma - google form per la registrazione: https://docs.google.com/forms/d/e/1FAIpQLSeKkJtv_6pUsuEhhHbXeOmpSaWihToq5ZBT3Fj61d_Z8RXG0A/viewform?usp=pp_url
Workshop A-MARE e GNRAC il 27-29/10/2021 a S.Marta - scarica la brochure
Giovedì 27 febbraio 2020 - POLO UNIVERSITARIO CITTÀ DI PRATO - Piazza Giovanni Ciardi, 25 -Prato 4 -Scarica la locandina
Sabato 16 e Domenica 17 marzo 2019 - Nuova Gerusalemme, S. Vivaldo, Montaione - Scarica la locandina
Martedì 22 maggio 2018, ore 16:00
Aula Magna Palazzo Fenzi, Via San Gallo, 10 - Firenze
Giovedì 11 maggio 2017 dalle ore 9:15 alle ore 18:30 - Sala Luca Giordano,Palazzo Medici Riccardi- Firenze
Venerdì 31 Marzo 2017 dalle 10:00 alle 16.30, Aula Magna del Rettorato - piazza S. Marco, 4 Firenze
Lectio Magistralis by Prof. Ing. Luciano Rosati
The center of shear and the center of twist are two basic concepts in solid and structural mechanics that often overlaps in a fuzzy way although their meaning and properties are quite different.
Actually, the center of twist is unambiguously defined both for the solid model by Saint Venant and the beam model by Euler-Timoshenko; furthermore, its position depends solely upon the beam cross section. Conversely, the center of shear is unambiguously defined for the solid model while it has two different definitions for the beam model, namely the geometric one by Goodier and the energetic one by Trefftz.
Surprisingly, the second definition of the center of shear provides a point that coincides with the center of twist while the geometric definition yields a point that is not only different from the center of twist but it also depends upon the material properties of the beam.
Moreover, the center of shear tends to coincide with the center of twist in the technically significant case of thin-walled beams or if the Poisson ratio is null, making one naturally ask if the geometric definition, by far the most diffused one in books and softwares, is really necessary.
We provide an answer to this question by proving that the center of twist is the only point that is really legitimate to provide kinematic and energetic uncoupling between shear and torsion both for the solid model and the beam one and to ensure a perfect symmetry with the role played by the center of gravity for normal stresses. We also show that the shear deformability tensor, ensuring kinematic and energetic equivalence between the cantilever beam and the solid model, only depends upon the center of twist and the position of the transverse force.
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