Analysis of Uniformly Distributed Limit Load for Circular Plate by TSS Criterion

Conference paper

Abstract

In order to analyze the uniformly distributed limit load for circular plate, a trial function of deflection with cosine form is investigated by the variational method. With the specific plastic work of the Twin Sheer Stress (called TSS for short) criterion, the internal deformation power is deduced. ATn analytical solution of limit load based on the TSS criterion is obtained as a function of circular plate radius a, thickness h and yield stress \( \sigma_{s} \). Compared with the available solutions based on Tresca and Mises criteria, it is shown that the present result is the highest, but the relative error between the present one and the Mises result is only 0.77%. The deflection increases with the decrease of plate thickness or the increase of the ratio of r/a, and the limit load decreases with the increase of plate radius.

Keywords

Variational method Trial function Twin sheer stress criterion Simply supported circular plate Limit load 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Shagang School of Iron and SteelSoochow UniversitySuzhouChina

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