Abstract
ABSTRACT The initial value method is applied to develop approximate solutions of rectangular plates on elastic foundations. The method consists of solving the governing differential equation of plates by a step-by-step integration procedure. A Winkler-type foundation is assumed in the analysis. A dimensionless quantity K that relates some characteristics of the plate to the foundation is introduced. The maximum values of deflections, moments, and shears are expressed in terms of the lateral load, dimensions of the plate, plate stiffness, and numerical factors. The values of these numerical factors for various values of the plate's aspect ratio and K are given in tabular form. Only rectangular plates with uniformly distributed transverse loads and with Poisson's ratio v= 0.3 are discussed. Four different boundary conditions are considered in the analysis. For these cases, the initial value method gives solutions with a maximum error of 1.0% when the foundation is not present.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
