Analytical strip solution to rectangular plates

Issam E. Harik, Ghassan L. Salamoun

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

A computer oriented "exact" method of solution is presented for the bending problem of orthotopic rectangular plates. The method requires that two opposite edges be clamped or simply supported, or one edge clamped and the other simply supported. Any combination of boundary conditions could exist along the other edges. The plate could be subjected to any combination of patch, uniform, line, and concentrated loads. The plate is divided into strips whose number depends on the type and number of loads. The solution for the deflection of each plate strip is expressed as a Levy type single Fourier series, and the loads are expressed as a corresponding series. The advantage of the analytical strip method is that it overcomes the limitations of the previous "exact" methods (Navier's and Levy's), it is easy to program oif a computer, and it provides an alternative to numerical, semi-numerical, and other approximate methods. Results are presented for isotropic and orthotropic plates with different loading and boundary conditions.

Original languageEnglish
Pages (from-to)105-118
Number of pages14
JournalJournal of Engineering Mechanics
Volume112
Issue number1
DOIs
StatePublished - Jan 1986

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering

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