Mathematical Analysis of Stiffness of Orthotropic Beam with Hollow Circular and Rectangular Cross-sections

摘要

Stiffness and strength of mechanical materials have to be thoroughly investigated to avoid functional and physical failures. This study investigates, analytically, the stiffness of wood beam, which is an example of orthotropic material, with different cross-sectional areas. The moment of inertia for each type of wood, considered, was analysed. The axial stiffness and bending stiffness were also computed for different cross-sectional areas. Comparisons were made and results are consistent with the ones in the literature. Specifically, it was observed that the cross-sectional areas of wood have a lot of influence on its mechanical properties. The axial stiffness, bending stiffness, shear stresses and moment of inertia of the orthotropic solid materials, considered, depend on their cross-sectional areas, to a large extent.