Yield-line Theory Application And Studying Of Thin Plate Curve Problem

Thin plate is a common component in engineering construction, the plastic limit occupies an important place in the load bearing capacity analysis. There are many ways in plastic limit analysis of regular thin plate. Some can get holomorphy solutions. In the course of plastic limit analysis, maybe there are the phenomena of producing yield-line. The experimental analysis gets such a conclusion, that is, when the irregular thin plate is in the state of plastic limit, the phenomena of producing yield-line maybe occur. But the irregular border makes the position and direction of yield-line indefinite. The article applies the yield-line theory to the plastic limit analysis work of irregular border thin plate. The article has theoretic significance and practical valueIn the first chapter of the article, the present studying situation of structure plastic limit analysis is illustrated and it also generalizes the main content and the significance of the paper research. In the second and third chapter, the paper systematically dissertates the main knowledge of stress analysis and the basic theory of material plastic analysis which founded a basis for plastic limit analysis of irregular border thin plate. In the fourth chapter, the mathematic patter of slice curve is deduced and founded, which provided the theoretic basis for the analysis of irregular thin plate plastic limit and the application of yield-line theory. In the fifth chapter, firstly applies the girder pattern to solve the plastic limit of circle thin plate. And offer the yield-line theory of plastic limit analysis of multi-border thin plate and finally apply the yield-line theory to several kinds of irregular thin plate.The research result shows that the appearing position of the yield-line, the border shape of slice, the border state restraint state is related to the landscape orientation load on the thin plate. One of the rules is that the yield-line of the multi-border thin plate stretch from the angle point on the border. Besides, when accepted the central load, yield-line link up on the point of central load. Generally, the confirmation of the yield-line more depends on experience.