• M. O. Okoye
• C. H. Aginam
• P. D. Onadagu
• V. O. Okonkwo

The viability of coordinate multi-term polynomial functions for flexural analysis of thin rectangular isotropic plate subjected to a uniformly distributed load is herein dealt with. The rectangular plate has two opposite edges fixed and the other two opposite edges simply supported. Polynomial deflection functions with unknown coefficients, which satisfy the geometric and natural boundary conditions, corresponding to the first, second, truncated third and third approximations were derived. These deflection functions were substituted into the fourth order governing differential equation of the plate and using the Galerkin method, the unknown coefficients were evaluated for the different approximations. With the help of these determined coefficients, the maximum deflection coefficient values and their corresponding maximum span moment coefficient values were determined for aspect ratios ranging from 1.0 to 2.0. for each approximation. The results of each approximation were compared with the results of the classical solution and their accuracy and convergence observed. The deflection coefficient values for the four different approximations showed close agreement with the classical solution; only the first approximation showed a good response pattern with respect to the maximum span moment coefficient values.

Uniforn load, Coordinate polynomial, Deflection function, Rectangular plate, Boundary conditions, Opposite edges, Galerkin method.

"Investigation of Polynomial Functions by Galerkin Method for Flexure of Thin Rectangular Isotropic Plate ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.531-541, February-2019, Available :http://www.jetir.org/papers/JETIR1902A76.pdf

"Investigation of Polynomial Functions by Galerkin Method for Flexure of Thin Rectangular Isotropic Plate ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp531-541, February-2019, Available at : http://www.jetir.org/papers/JETIR1902A76.pdf