A new application of the Ambartsumian beam theory

Abstract

The new application of the two degrees of freedom beam theory that takes into account the ability of fibers to resist bending is the main purpose of the present study. In the considered theory, the shape function of Ambartsumian (1958) is involved in the displacement field. Based on the use of the aforementioned displacement functions the strains and stresses are presented where the asymmetric part of the shear stress are provided. Furthermore, the solution of governing equilibrium equations is obtained in which contains terms related to the fiber bending stiffness. Numerical results of the obtained solution are computed and discussed.