Layerwise Theories for Cross-Ply Laminated Composite Beam

Abstract

Layerwise elementary theory of beam (ETB) and First order shear deformation theory (FSDT) for laminated composite beam are discussed together with their merits and demerits. The advanced beam theory is used for an accurate stress analysis of two-layered (90/0) cross-ply laminated composite beam having one of their edges rigidly clamped and other is free. Theory includes transverse shear deformation effect with shear correction factor. The elementary theory does not account the effect of transverse shear whereas First order shear deformation theory includes this effect. Principle of virtual work is used to obtain governing differential equation and boundary conditions in theory. Transverse shear stress can be obtained from constitutive relations and equilibrium equations as well, satisfying the stress free conditions at top and bottom surface of beam. The results are obtained for two layered (90/0) cross-ply laminated cantilever beam subjected to sinusoidal loading and compared with available results in literature.