Naslov
A theory of torsion of thin-walled beams of arbitrary open sections with influence of shear

Autori
Pavazza, Radoslav ; Matoković, Ado ; Vukasović, Marko

Izvornik
Mechanics based design of structures and machines (1539-7734) 50 (2022), 1; 206-241

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Torsion ; shear ; thin-walled beams ; arbitrary open sections ; general torsion loads ; analytic solutions comparisons to FEM

Sažetak
A novel theory of torsion of thin walled beams (“shear deformable beams”) of arbitrary open cross-sections with influence of shear (TTTS) is presented. The theory is based on the classical Vlasov’s theory of thin-walled beams of open cross-section, as well on the Timoshenko’s beam bending theory. The theory is valid for general thin-walled open cross-section shapes, for distributed and concentrated transverse torsion loads and for isotropic materials. Four parameters due to shear warping are introduced. Closed-form analytical solutions for three-dimensional expressions of the normal and shear stresses are obtained. Under general transverse loads, reduced to moments of torsion with respect to the cross-section principal pole (by Vlasov’s theory), for arbitrary cross-sections, the beam will be subjected to torsion with influence of shear and in addition to bending due to shear in the beam principal planes and to tension/compression due to shear. The theory is tested by comparing it to the classical Vlasov’s thin-walled beam theory and to the finite element method using shell elements, as well as to some results in literatures.

Izvorni jezik
Engleski

Znanstvena područja
Brodogradnja, Strojarstvo, Temeljne tehničke znanosti

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