A novel Model of Functionally Graded Material Cantilevered Beam


Sadiq M. Ihmood, Mohammed A. Mashrei and Talib. Eh. Elaikh


Department of Mechanical Engineering, College of Engineering, University of Thi-Qar, Iraq.  

Department of Civil Engineering, College of Engineering, University of Thi-Qar, Iraq

Corresponding Author Email: sadiqmuhsin@yahoo.com

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

The current study focused on presenting a new functionally graded material (FGM) beam model. In this model a soft material (Aluminum) is used at the top and bottom, however, the middle of the beam made with a hard material (steel). The material properties between soft and hard material will be changed continuously throughout the thickness of the beam according to the power law form. Based on the elementary theory of elasticity and Reddy-Bickford Beam Theory, new equations are proposed to determine the beam deflection and shear stresses. The results of this model indicate that the beam deflection will be smaller and the shear stress will decrease at the power index are greater than one as a comparison with the traditional functionally graded material (FGM).