Abstract
The present paper deals with an approximated formulation of the torsional problem of St Venant beam with solid (simply connected) cross-section. In the literature there are few simplified models regarding the torsional problem, but they generally deal with thin-walled beams. To construct the present approximated theory, we imagine the cross-section composed by n closed thin-walled cross-sections (rings) one inside the other. Every thin-walled cross-section behaves following the well-known Bredt's model. Then, we impose that every ring, during the deformation, rotates the same angle (compatibility condition). In this manner we obtain how much of the torsional moment is absorbed by every ring. If the thickness of the rings goes to zero (and consequently, the number of the rings goes to infinity), we obtain the formulae for calculating the maximum shear stress and the angle of torsion of the section considered. Some comparisons between exact and approximated results show a good behaviour of the approximated formulation, especially if the section has a regular contour.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call