THE ANALYTICAL SOLUTION OF THE PROBLEM OF THE PURE BEND FOR SHELL MODEL OF THE THIN-WALLED BEAM WITH RECTANGULAR CROSS SECTION

Abstract

The method of obtaining the private analytical solution of system of the non-linear differential equations in private derivatives for calculation the stress state thin-walled beams with rectangular cross section is offered. With use of the semi-return method of Saint- Venant the analytical solution which will be agreed with known to the expressions received on dependences of the theory of plates and shells is constructed. The comparative analysis of results received by finite elements method in Ansys and the offered method showed good convergence, allowed to reveal features of a stress state of beams at pure bend, and also to specify scopes of various types of finite elements.