ANALYTICAL AND NUMERICAL STUDIES OF THE STRESS-STRAIN STATE OF ROUND PLATES ON AN ELASTIC BASE WITH A VARIABLE BED COEFFICIENT
Open Access
- 20 September 2020
- journal article
- Published by RS Global Sp. z O.O. in Science Review
Abstract
The results of the study of the stress-strain state of a circular plate of constant cylindrical stiffness lying on an elastic foundation with a variable coefficient of elastic resistance are presented. Eight calculation options are considered − four each for a concrete round slab and for a steel round plate − under two conditions of fastening (hinged and rigid along the entire contour) and two laws of variation of the bed coefficient (according to the linear law and according to the law of the concave parabola). To solve the problem, the authors applied a general analytical method for solving differential equations with variable coefficients. The finite element method is used to verify the results. Comparison shows that the results coincide very well in deflections, differing in the third or fourth decimal places, and somewhat worse − in moments.Keywords
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