ABSTRACT

Due to their slenderness, a number of composite elements (mechanical components or structural parts) can be considered as beams. Afew typical examples are shown schematically in Figure 15.1. ”e behavior under loading of these elements (evaluation of stress and displacements) becomes a very complex problem when the 3D aspect is discussed. We propose in this chapter amonodimensional approach of the phenomenon through an original method. It is based on the denition of resultants for displacements, which will constitute the counterpart of the traditional stress resultants (shear force, normal force, bending moment). ”is leads to ahomogenized formulation for bending and for torsion. ”is means that equilibrium and behavior relationships are formally identical to those of classical homogeneous beams. ”en the application of these relationships to the calculation of stress values and displacements is done by using similar equations to those of normal beams.