Layered Beam Analysis

Abstract
Governing equations for layered Timoshenko beam theory for the general case of unsymmetrically stacked laminated beams are presented. A computer program is developed to use the theory to investigate layered beam problems with any kind of end conditions and any transverse loading. Capability is also demonstrated for varying properties such as modulus of elasticity along the length of the beam. The method is applied to the study of laminated wooden beams. Variations of deflection, shear stress, and normal stress with percentage of strong wood along the outer fibers is shown. The program is not meant to be a design tool. The main purpose of the program is to furnish an analytical tool to use in correlating experimental data with theoretical results so that assumptions regarding physical properties can be altered if need be. A study of the effect of changing the properties of a wooden laminated beam is presented.