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Sandwich Beams with Mid-Plane Asymmetry Subjected to Lateral Loads

The equations are presented by which to analyze, design and optimize sandwich beams which involve mid-plane asymmetry. Both classical beam theory and a refined theory involving transverse shear deformation are utilized. Explicit solutions for the beam subjected to a uniform lateral load for the boundary conditions of both ends clamped; both ends simply supported and a cantilevered beam are given. To obtain minimum face weight, the means to select each face thickness and the core depth are given for any given material system. In order to choose the face materials to achieve a minimum weight beam, a factor of merit is defined. Various materials are then compared.