ASYMPTOTIC APPROACH OF THE SHEAR-STRESS DISTRIBUTION IN LINEAR ELASTIC BEAMS OF VARIABLE CROSS-SECTION

Using an asymptotic method in the tridimensional elasticity classical equations, we mathematically derive a general model for elastic beams of variable cross section, which takes into account bending, stretchin g, torsion and Timoshenko effects, and precise formulae to evaluate th e axial and shear stress distribution in the cross section. These form ulae are expressed in a precise way by means of generalised warping, t orsion, and other, functions depending on the geometry of the cross se ction.