The analysis of thin rectangular orthotropic plate with two opposite edges clamped and the other two opposite edges simply supported CSCS , carrying transverse loads was investigated in this study. The Ritz total potential energy functional was used. The minimization of the total potential energy functional produces the expression for the coefficient of deflection. The coefficient of deflection was used to obtain equation for the maximum lateral load of an orthotropic thin rectangular plate based on allowable deflection. Also, equation for the maximum lateral load of an orthotropic thin rectangular plate based on allowable stress was developed.Developed stiffness coefficients were substituted in the lateral load equations to obtain the maximum lateral load values for a CSCS plate. Numerical examples using permissible deflection of 10mm and yield strength of 250MPa, plate thickness varying from 5mm to 12.5 mm with 0.5mm intervals were done to determine the maximum lateral loads corresponding to an orthotropic thin rectangular CSCS plate carrying transverse loads when n1 = Ey Ex = 0.7 and n2 = G Ex = 0.41 for aspect ratios b a of 1.0, 1.25 and 1.50. Bertram D. I. | Okere C. E. | Ibearugbulem O. M. | Nwokorobia G. C. "Limit States Solution to CSCS Orthotropic Thin Rectangular Plate Carrying Transverse Loads" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-6 , October 2021, URL: https://www.ijtsrd.com/papers/ijtsrd47566.pdf Paper URL : https://www.ijtsrd.com/engineering/civil-engineering/47566/limit-states-solution-to-cscs-orthotropic-thin-rectangular-plate-carrying-transverse-loads/bertram-d-i
International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 5 Issue 6, September-October 2021 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD47566 | Volume – 5 | Issue – 6 | Sep-Oct 2021
Page 1151
Limit States Solution to CSCS Orthotropic Thin
Rectangular Plate Carrying Transverse Loads
Bertram D. I., Okere C. E., Ibearugbulem O. M., Nwokorobia G. C.
Department of Civil Engineering, Federal University of Technology, Owerri, Imo State, Nigeria
ABSTRACT
The analysis of thin rectangular orthotropic plate with two opposite
edges clamped and the other two opposite edges simply supported
(CSCS), carrying transverse loads was investigated in this study. The
Ritz total potential energy functional was used. The minimization of
the total potential energy functional produces the expression for the
coefficient of deflection. The coefficient of deflection was used to
obtain equation for the maximum lateral load of an orthotropic thin
rectangular plate based on allowable deflection. Also, equation for
the maximum lateral load of an orthotropic thin rectangular plate
based on allowable stress was developed.Developed stiffness
coefficients were substituted in the lateral load equations to obtain
the maximum lateral load values for a CSCS plate. Numerical
examples using permissible deflection of 10mm and yield strength of
250MPa, plate thickness (varying from 5mm to 12.5 mm with 0.5mm
intervals) were done to determine the maximum lateral loads
corresponding to an orthotropic thin rectangular CSCS plate carrying
transverse loads (when n1 = Ey/Ex = 0.7 and n2 = G/Ex = 0.41) for
aspect ratios (b/a) of 1.0, 1.25 and 1.50.
KEYWORDS: Transverse Loads, Plates, Orthotropic, Direct
Variation, Allowable deflection, Elastic yield stress
How to cite this paper: Bertram D. I. |
Okere C. E. | Ibearugbulem O. M. |
Nwokorobia G. C. "Limit States
Solution to CSCS Orthotropic Thin
Rectangular Plate Carrying Transverse
Lo