End Effects in Laminated Anisotropic Beams—Part II

An analytical method of examining the stress field near the edge of a simply supported, laminated beam was developed in Part I of this paper. The result was a system of second-order, ordinary, linear, nonhomogeneous differential equations. A numerical and analytical technique for solving these equations is presented in this paper. The method is a versatile stress analysis procedure which can accommodate any combination of material lay-up and can simulate any prescribed distribution of normal load on the upper and lower surfaces. The reactions at the ends of the beam may be distributed over the surface edges in a fashion most accurately characterizing the physical supports. An all-steel lay-up is examined as a basis for comparison with Bernoulli-Euler and Timoshenko theory; and a two-layered steel/aluminum beam is examined to simply demonstrate the method’s capability of determining the interlaminar transverse shear and normal stresses.