International Journal of Engineering Advanced Research
eISSN: 2710-7167 | Vol. 3, No. 1, 27-45, 2021
http://myjms.mohe.gov.my/index.php/ijear
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International Journal of Engineering Advanced Research (IJEAR)
eISSN: 2710-7167 [Vol. 3 No. 1 March 2021]
Journal website: http://myjms.mohe.gov.my/index.php/ijear
ANALYTICAL THREE-DIMENSIONAL BENDING
ANALYSES OF SIMPLY SUPPORTED THICK
RECTANGULAR PLATE
Ibearugbulem, Owus M.
1
, Onwuegbuchulem, Uchenna C.
2*
, Ibearugbulem, C. N.
3
1 3
School of Engineering and Engineering Technology, Federal University of Technology, Owerri, NIGERIA
2
School of Environmental Sciences, Federal University of Technology, Owerri, NIGERIA
Corresponding author: uche.onwuegbuchulem@futo.edu.ng
Article Information:
Article history:
Received date : 25 January 2021
Revised date : 23 February 2021
Accepted date : 28 February 2021
Published date : 1 March 2021
To cite this document:
Ibearugbulem, O., Onwuegbuchulem, U.,
& Ibearugbulem, C. (2021).
ANALYTICAL THREE-
DIMENSIONAL BENDING
ANALYSES OF SIMPLY
SUPPORTED THICK
RECTANGULAR PLATE. International
Journal Of Engineering Advanced
Research, 3(1), 27-45.
Abstract: This paper presented an analytical three-
dimensional bending analysis of simply supported thick
rectangular plate. Six strain components and six stress
components were used in a third order shear deformation
theory. With the six strain and stress components a total
potential energy functional was obtained. This functional
was minimized with respect to shear deformation rotations
to obtain compatibility equations. Solutions of the
compatibility equations gave the relationship between
deflection and the rotations. The functional was further
minimized with respect to deflection to obtain the
governing equation, which was solved to obtain deflection
equation. From here, formulas for deflection and stresses
were obtained. The values of the deflections and stresses
obtained herein were compared with those of refined plate
theories using simple percentage difference. It was
observed that their values are not that close. Deflection
from the present work differs from those of refined plate
theory by 26.63% and 5.01% for span-to-depth ratios of 4
and 1000 respectively. This implies that refined plate
theories are quite coarse for thick plate analysis.
Keywords: Thick Plate analysis; Rectangular plate
bending; Shear deformation theory.