Finite Element Analysis of Thick Beams using Lagrange-9 Element and ADINA

Abstract

There has been a lot of research in the field of thick beam analysis. The classical beam theory was the first beam theory but it neglected the effects of shear deformation and this induce the need for further research to develop the beam theory to be helpful in thick beams where the shear deformation is paramount. In this research work, the trigonometric shear deformation theory for thick beam, which includes the sinusoidal functions in the thickness coordinate accounting the shear deformation, is explored. A thick simply supported beam is considered subjected to uniformly varying load, the flexural stress and displacement along the thickness and span are obtained. Further the implementation of numerical method, namely finite element method, was explored. The two-dimensional plane stress nine-noded isoparametric displacement-based finite elements were used to develop the thick beam problem and the finite element analysis was conducted by programming the procedure in MATLAB®, a technical computing software. The finite element analysis procedure applied to find the displacement and stresses in the model. The calculated displacements and stresses are validated against the equivalent finite element analysis model in ADINA®, a general purpose finite element analysis software. 

Cite this Article Poonamrani Basavraj Patil, Ajay Gulabrao Dahake, Vasudev Raghunath Upadhye. Finite Element Analysis of Thick Beams using Lagrange-9 Element and ADINA. Journal of Experimental & Applied Mechanics. 2016; 7(3): 50–57p.