Lower-bound and upper-bound for rectangular and circular plates

Abstract

This paper defines critical load for rectangular and circular plates. It is presented two methods for critical load, lower-bound theory and upper-bound theory. Calculation for upper-bound is based on yield line theory. Solutions for these methods define interval of critical load. Basic assumptions for these methods and numerical examples are displayed. Paper deals with rectangular and circular plates with different supporting conditions, loaded with uniform loads and concentrated forces.

Keywords

• critical load
• lower-bound
• upper-bound
• yield line