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Adah, E. I.
Department of Civil and Environmental Engineering, University of Calabar, Calabar, Nigeria
Ibearugbulem, O. M.
Department of Civil Engineering, Federal University of Technology, Owerri, Nigeria
Ubi, P. A.
Department of Mechanical Engineering, University of Calabar, Calabar, Nigeria
ABSTRACT
This study presents a new
approach aimed at analyzing continuous plate based on beam analogy using
polynomial displacement functions to obtain fixed edge moments, support
moments, and span moments. A continuous plate along x-direction was divided
into four (4) panels making up 4-spans of single panel plates based on boundary
conditions. The external edges are assumed to be simply supported while the
internal supports or edges of each panel are assumed fixed. The moments of the
fixed edges are calculated for each panel using appropriate boundary conditions
which formed the fixed edge moments (FEMs). After which a strip section is
taken and analyzed based on beam analogy using the stiffness method to obtain
the support and span moments of the plate. The support moments obtained showed
a good distribution of the FEMs with a percentage difference of 3.57. This work
further suggests expressions based on the results obtained to simplify
continuous plate analysis. The approach presents here is easy to comprehend and
less tedious compared with those in literature. Therefore, the conclusion that
the polynomial displacement functions are adequate for predicting the moments
of a continuous plate, and that, beam analogy is a simpler approach of
analyzing continuous plate in one direction.
Keywords: Continuous Plate, Polynomial displacement functions, Fixed edge moment, Stiffness Method, Beam Analogy
https://doi.org/10.33922/j.ujet_v6i1_10
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Published
Monday, June 01, 2020
Issue
Vol. 6 No. 1, June 2020
Article Section
GENERAL
The contents of the articles are the sole opinion of the author(s) and not of UJET.
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