Abstract
Presentation and realization of the task of rationalization of structural parameters of reinforced concrete shells is presented. As a criterion for this task an energy principle is adopted, according to which it is assumed that from the whole set of possible values of the desired parameters of the system with a constant volume of material, the number of external and internal connections, the potential energy of deformation (DER) after the reconstruction will reach the lower limit on a rational combination of values of geometric parameters. The energy principle is taken as a criteria on for this task, according to which it is believed that out of numerous possible values of the searched parameters of the system with the constant amount of material, number of external and internal connections, the strain potential energy (SPE) after the reconstruction will reach the lower limit on the rational connection of the geometrical parameters describing the system. The determined interconnection of the rational parameters of the constructive anisotropic shell between SPE of the system of internal and external rational parameters: with ribs step value of about l ≈ 1000 mm SPE reaches the lower limit.
Highlights
Problem settingThe roofing of buildings and structures accepts essential loading which causes an essential stress-strain behavior (SSB) of the system
Presentation and realization of the task of rationalization of structural parameters of reinforced concrete shells is presented
As a criterion the energy principle was taken, according to which out of the whole variety of possible values of the searched parameters of the system with the constant material volume, number of external and internal relations, strain potential energy (SPE) after the reconstruction will reach the lower limit on the rational combination of the geometrical parameters values describing the system
Summary
The roofing of buildings and structures accepts essential loading which causes an essential stress-strain behavior (SSB) of the system. It would be reasonable to consider such types of roofing which could accept, evenly distribute and transfer such loading to the supports For this purpose, the most suitable would be the shells of different Gaussian curvature made of the reinforced concrete. As the reinforced concrete is quite a heavy material, it would be essential to study the methods of its lighting. One of such methods is the embedment of the holeforming insertions inside the construction, made of the foam polystyrene which at the same time form the shell angle cover. Research the revolutionary type of construction which has the specified external and calculated internal geometry; provide the mathematical modeling of the process of deforming the constructive anisotropic shell with different types of external and internal impacts
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