SEARCHING SHEAR FORCES FLOWS FOR AN ARBITRARY CROSS-SECTION OF A THIN-WALLED BAR: DEVELOPMENT OF NUMERICAL ALGORITHM BASED ON THE GRAPH THEORY

Abstract

Searching problem of shear stresses on outside longitudinal edges of an arbitrary cross-section (including open-closed multi-contour cross-sections) of a thin-walled bar subjected to the general load case has been considered in the paper. Detail numerical algorithm intended to solve the formulated problem using mathematical apparatus of the graph theory has been proposed by the paper. The algorithm is oriented on software implementation in systems of computer-aided design of thin-walled bar structures.

Keywords

• thin-walled bar, an arbitrary cross-section, shear forces flow, closed contour, graph theory