Збірники наукових праць ЦНТУ
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Item Несуча здатність сонячних панелей, встановлених на похилих дахах будівель на території України(ЦНТУ, 2022) Пашинський, М. В.; Настоящий, В. А.; Пашинський, В. А.; Pashynskyi, M.; Nastoyashchiy, V.; Pashynskyi, V.Виконані розрахунки несучої здатності сонячних панелей, розташованих на дахах малоповерхових будинків у різних регіонах України. З урахуванням кліматичних навантажень для кожної з адміністративних областей встановлені допустимі значення прольоту панелей при різних кутах нахилу до горизонту. В усіх випадках вирішальним виявився розрахунок за вимогами другого граничного стану. Результати дослідження дозволяють враховувати несучу здатність при виборі сонячних панелей для різних областей України. The growing shortage of energy resources encourages the more active usage of energy-efficient technologies, in particular the use of solar panels to power low-rise buildings. The aim of the work is to establish the maximum allowable spans of solar panels taking into account climatic loads in different regions of Ukraine. According to the previously developed method, the bearing capacity of solar panels made of tempered glass with a thickness of 3 mm at a ratio of length to span of the panel equal to 2.0 was performed. The panels are installed at a height of up to 20 m from the ground level at angles of inclination to the horizon due to the design of the roofs. Characteristic values of snow cover weight, ice weight and wind pressure were adopted based on the results of the administrative-territorial zoning of Ukraine previously performed by the authors. Each administrative region corresponds to the characteristic values of the loads set in the safety margin with a security level of 0.95. This approach allowed to obtain the dependences of the maximum allowable span (smaller size) of the solar panel from its angle of inclination to the horizon for all 25 regions. In all cases, the condition of rigidity was decisive, and the allowable spans of panels in Ukraine were obtained equal to 0.61… 1.10 m. The largest allowable spans are in the southern regions, and the smallest span - in the snowy regions of Ukraine. Changing the thickness of the panel leads to a proportional change in its allowable span. The developed recommendations allow to choose the type and dimensions of solar panels for installation on the hip roofs of buildings in each of the administrative regions of Ukraine. The allowable span of panels, the shape of which is closer to square, can be increased by repeating the calculations according to the aforementioned method.Item Методика розрахунку несучої здатності сонячних панелей як елемента забезпечення енергоефективності будівель(ЦНТУ, 2022) Настоящий, В. А.; Пашинський, В. А.; Пашинський, М. В.; Якименко, М. С.; Nastoyashchiy, V.; Pashynskyi, V.; Pashynskyi, M.; Yakimenko, S.Запропонована методика розрахунку несучої здатності сонячних панелей, розташованих на дахах малоповерхових будинків. Отримані робочі формули для визначення допустимого прольоту панелі типової конструкції залежно від навантажень, відношення розмірів її сторін та кута нахилу до горизонту. З урахуванням кліматичних навантажень у м. Кропивницький встановлено, що вирішальним є розрахунок за вимогами другого граничного стану. Допустимий проліт сонячної панелі з обшивками із загартованого скла товщиною 3 мм може змінюватися від 0,68 м до 1,36 м. Extensive use of solar panels for providing low-rise buildings with electricity has led to the development of methods for assessing the load-bearing capacity of solar panels, taking into account the size of the panel, the angle of inclination to the horizon and climatic loads in a given geographical area. The solar panels are calculated as plates hinged along the contour. Self-weight loads of the panel, snow, wind and ice loads are determined according to DBN B.1.2-2: 2006 "Loads and impacts" and are reduced to a component that is normal to the plane of the panel. Working formulas were obtained for determining the extreme and operational design values of loads, checking the strength and deflection of panels, as well as the maximum allowable spans according to the criteria of strength and structural rigidity. An example of calculation of solar panels placed at angles of inclination to the horizon from 15° to 75° on the roof of a building in Kropyvnytskyi were performed. Strength checks should be performed on combinations of panel self-weight, snow and maximum wind pressure. Deflection check at small angles of panels inclination is carried out taking into account the same combination of loads, and at big angles of inclination - taking into account only ice load. In all cases, the condition of rigidity is decisive. Permissible span L (smaller size) of a solar panel with 3 mm tempered glass sheathing in the conditions of Kropyvnytskyi varies from 0.68 m to 1.36 m. It increases as the angle of inclination increases and as the B/L ratio approaches to 1. The allowable span varies by 13…16% with length ratio of the larger side of solar panel to the smaller one in the range from 1.4 to 2.0. This allows to take the values of the allowable span, corresponding to the ratio of the parties B/L=2.0 in order to simplify the safety margin. The obtained working formulas and their implementation in the form of a calculation sheet in Microsoft Excel allows to perform similar calculations for other source data. Further research focuses on the establishment of allowable spans of solar panels of typical design in the conditions of each of the regions of Ukraine.