NON LINEAR PROBLEMS OF OBLIQUE BENDING

Abstract

Building art consists in the unity of the function of the structure and its form, embodied in the material. The bearing capacity of the material depends entirely on the chosen form. This is expressed in the rational correlation of load and support. At the level of determining the topology of a structure, the process of “enveloping” a force field in natural systems by matter is considered as an analogy. This phenomenon correlates with the technical support of the oblique bend, which is typical, in particular, for the run of the roof of the structure. A channel that is rational under conditions of direct bending loses its effectiveness with oblique bending. The best performance is found in the Z-profile with a vertical wall. The orientation of its shelves corresponds to the principle of material saturation of the areas adjacent to the external force field. But even this profile does not fully satisfy the most effective resistance to oblique bending. The introduction of an inclined wall makes it possible to bring the material of the shelves closer to the external force field. A comparison of the functioning of the mentioned profiles is given on numerical examples, united by the designated cross-sectional area. For a Z-profile with an inclined wall, formulas for geometric characteristics are derived. The angle of inclination of the wall is determined from the condition of transforming an oblique bend into a straight bend, that is, the coincidence of the trace of the force plane with the main axis of the beam section. In the framework of the above studies, we can talk about a decrease in stress by about 80%. It is also oblique bending at nonlinear physical law considererd.