Naslov
Finite element stress analysis of elastic beams under non-uniform torsion

Autori
Banić, Damjan ; Turkalj, Goran ; Brnić, Josip

Izvornik
Transactions of FAMENA (1333-1124) 40 (2016), 2; 71-82

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

Ključne riječi
non-uniform torsion ; warping function ; shear stress ; finite elements

Sažetak
This paper presents a two-dimensional finite element formulation for the stress analysis of elastic beams subjected to non-uniform torsion. The element stiffness matrix and load vectors are derived using the primary and secondary warping functions. The primary function corre¬sponds to that occurring with uniform torsion problems. The secondary function is introduced to take into account effects caused by the restrained warping. Thus, shear stresses are divided into the primary and secondary ones, keeping the same meaning as the warping functions. The proposed finite lemente model enables the stress analysis to be carried out regardless of cross-sectional shapes. The material is assumed to obey Hooke’s law. The effectiveness of the presented finite element algorithm is validated through two benchmark examples.

Izvorni jezik
Engleski

Znanstvena područja
Brodogradnja, Strojarstvo, Temeljne tehničke znanosti

POVEZANOST RADA