Distribution of load effects and reliability of reinforced concrete frames: intact and with columns removed

abstract: The design of reinforced concrete (RC) frames is made on a member-by-member basis. Similarly, in the literature, the reliability of RC beams and columns is often studied in isolation from the rest of the structure. Yet, in the construction of regular frames, symmetry and regularity are often exploited, resulting in the same design for each element type. This is despite of different load effects on different parts of the structure, which leads to significant variations in the failure probability of the elements. Hence, in this paper, we investigate the reliability of members and the distribution of load effects in regular RC frame buildings, considering intact and column loss cases, where symmetry is lost. Results show that the ratios of normal-to-bending loads change significantly along building height, and this has a significant impact on reliability of individual columns.

STUDY OF SPATIAL PROBLEMS OF DYNAMIC STABILITY OF REINFORCED CONCRETE FRAMES

The article proposes a method for constructing areas of dynamic instability of reinforced concrete frames in the space of parameters (frequency and amplitude) of seismic and operational dynamic impacts that cause the appearance of longitudinal forces in the bars of structures, which periodically change in time and lead to an unlimited increase in amplitudes of transverse vibrations when the values of these parameters are in the areas of instability. The proposed method is demonstrated by a specific example, which considers the spatial problem of dynamic stability of a П-shaped frame with two concentrated masses located on it, which are under the action of vertical periodic forces. These forces create periodic longitudinal forces in the vertical rods of the frame. Areas of dynamic instability of the frame are constructed. From the point of view of human activity, fluctuations can be both beneficial and harmful. We can observe vibrations of various buildings, structures, bridges, which cause additional stresses and deformations of these structures, have a harmful effect on their safe functioning. Too intense fluctuations lead to serious consequences. This leads to the destruction of individual elements of the structure and, as a result, to accidents. The most destructive effect of vibrations is observed during earthquakes and explosions. The study of vibrations is of great practical importance. This avoids the unwanted effects of fluctuations by limiting their level. Only on the basis of a deep study of various types of vibrations can important practical problems of the dynamics of structures be solved. Solving dynamics problems is a complex problem. In contrast to static calculation, when studying oscillations, one has to take into account an additional factor – time. The dynamic design of structures provides them with bearing capacity under the combined action of static and dynamic loads. A construction will be considered as a system with an infinite number of elementary masses distributed over it with an infinitely large number of dynamic degrees of freedom.

Analysis of Nonlinear Static-Dynamic Deformation of Reinforced Concrete Frames in out-of-Limit States

Постановка задачи. Приводятся расчетная модель, алгоритм расчетного анализа и результаты расчета нелинейного статико-динамического деформирования железобетонных рам в запредельных состояниях, вызванных внезапным удалением одной из несущих конструкций. Результаты. Для создания численной модели режима статико-динамического нагружения конструктивной системы использован программный комплекс LS-DYNA с применением детальной 3Д-модели, реализующей явный метод конечных элементов. При проведении расчетного анализа были приняты физико-механические характеристики деформирования материалов в трех вариантах: полученные по опытным данным Г. А. Гениева, по опытным данным Н. В. Федоровой, М. Д. Медянкина при статико-динамическом одноосном режиме испытаний ограниченного числа стандартных образцов призм и по СП 385.1325800.2018. Выводы. Численным анализом статико-динамического деформирования железобетонной рамно-стержневой системы каркаса многоэтажного здания установлено, что дифференцированный учет количественного значения модуля вязкости бетона и соответственно времени и уровня статико-динамического догружения конструкции позволяет более строго определять критерии особого предельного состояния элементов железобетонных конструктивных систем зданий и сооружений. Statement of the problem. The article presents a computational model, an algorithm for computational analysis and the results of calculating the nonlinear static-dynamic deformation of reinforced concrete frames in out-of-limit states caused by the sudden removal of one of the supporting structures. Results. To design a numerical model of the static-dynamic loading mode of a structural system, the LS-DYNA software package was used that makes use of a detailed 3D model implementing an explicit finite element method. During the computational analysis, the physical and mechanical characteristics of the deformation of materials were taken in three variants: those obtained based on the experimental data by G. A. Geniev, the experimental data by N. V. Fedorova and M. D. Medyankin under the static-dynamic uniaxial testing mode of a limited number of standard samples of prisms and according to the Russian standards SP (СП) 385.1325800.2018. Conclusions. Numerical analysis of the static-dynamic deformation of the reinforced concrete frame-rod system of a multi-storey building has established that the differentiated accounting of the quantitative value of the concrete viscosity modulus and, accordingly, the time and level of static-dynamic loading of the structure allows one to identify the criteria for the special limit state of the elements of reinforced concrete structural systems of buildings and structures in a more rigid manner.

Effect of Buoyancy Loads on the Tsunami Fragility of Reinforced Concrete Frames Including Consideration of Blow-out Slabs

Currently available performance-based methodologies for assessing the fragility of structures subjected to tsunami neglect the effects of tsunami-induced vertical loads due to internal buoyancy. This paper adopts a generalized methodology for the performance assessment of structures that integrates the effects of buoyancy loads on slabs during a tsunami inundation. The methodology is applied in the fragility assessment of three case-study frames (low, mid and high-rise), representative of existing masonry-infilled reinforced concrete (RC) buildings typical of Mediterranean region. The paper shows the effect of modelling buoyancy loads on damage evolution, structural performance and fragility curves associated with different structural damage mechanisms for RC frames with breakaway infill walls including consideration of blow-out slabs. The outcomes attest that the predominant failure mechanism of selected case-study is the brittle shear failure of seaward columns, which is slightly affected by buoyancy loads. When brittle failure is avoided, buoyancy loads significantly affect the damage evolution during a tsunami, especially in the case of structures with blow-out slabs. The rate of occurrence of slabs uplift failure increases with the number of stories of the building but only slightly affects the fragility curves of investigated structures. However, it can significantly increase their vulnerability, affecting both direct and indirect costs deriving from the repair of the damaged interior slabs.