In this paper a new theory is proposed for the shear stress in thin- walled beams, which complies with the Vlasov hypotheses, and the condition of longitudinal variability of the shear force. New relations have been obtained for the tangential and normal stresses and a numerical method- based on the stationary principle and analogous to the one proposed by Hughes, but formally different, because of the assumed cubic law of the warping function - is developed for the tangential and normal stresses calculation. It is particularly verified that the warping shear stresses depend directly on the unit vertical load c(x), and can assume appreciable values, if compared with the bending ones, for all those loading conditions that include quasi-concentrated loads and, consequently, great values of c(x). Some numerical applications of the developed method are carried out, in order to show its feasibility.
The warping shear stress
PISCOPO, VINCENZO
2008-01-01
Abstract
In this paper a new theory is proposed for the shear stress in thin- walled beams, which complies with the Vlasov hypotheses, and the condition of longitudinal variability of the shear force. New relations have been obtained for the tangential and normal stresses and a numerical method- based on the stationary principle and analogous to the one proposed by Hughes, but formally different, because of the assumed cubic law of the warping function - is developed for the tangential and normal stresses calculation. It is particularly verified that the warping shear stresses depend directly on the unit vertical load c(x), and can assume appreciable values, if compared with the bending ones, for all those loading conditions that include quasi-concentrated loads and, consequently, great values of c(x). Some numerical applications of the developed method are carried out, in order to show its feasibility.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
