In this paper, based on the RC frame structure of an industrial building, the finite element model of the structure is developed, according to the Chinese code for seismic design of buildings [9]. Considering the lack of seismic performance, the buckling restrained brace (BRB) is adopted for seismic retrofitting, and various configurations of buckling restrained support are considered for reinforcement. The elastic response spectrum analysis (RSA) and direct integration nonlinear time history analyses (NL-TH) are carried out for the frame structure before and after reinforcement using ETABS finite element software. From the joints displacement, inter-story displacement, inter-story shear force, acceleration, energy dissipation, and other aspects of the seismic response of the strengthened structure and the non-strengthened structure, the comparison has been made. The effect of buckling restrained support and common support on the existing building structure is verified through analytical modeling. After reinforcement, there is a 40%, 39.3%, 40%, 36.4%, and 38.3% reduction in the first period of vibration after the building is strengthened by inverted BRB, V BRB, two-story BRB, single BRB, and ordinary steel braces, respectively. Strengthening of the structure by buckling restrained braces and ordinary steel braces both decrease the original building displacement by more than 50% from the first to the fourth floor. Under severe earthquakes, the use of BRB reduced the column shear by 46.6%; similarly, the incorporation of ordinary steel braces reduced the column shear by 4.72%. It is concluded that using buckling restrained braces will increase the vertical stiffness of the structure to a very high extent.
Classical approach is a popular method used in the analysis of structures including bending plates, but these plates can have highly irregular geometry and contain holes or may be subjected to loading irregularity. Hence, the analysis is further complicated and the classical approaches are not valid. Thus, the Finite Element Method is used to control the accuracy and it is needed for more difficult problems. In the present study Fourier series theory as classical approach and finite element method of analysis were discussed and the numerical examples of a simply supported and fixed supported square steel plate were used to compare them. The results obtained with general public software LISA that uses FEM was plotted according to the element types, both quadrangular and triangular. Their convergence was verified with the values obtained from classical approach to validate the results of FEM from LISA. The results showed the conformity with the existing theories that the greater discretization the more the reality is approached. The convergence error of 5% was taken as the maximum for the element types and meshes to be used for highly sophisticated plate systems. The ratios of element size to the size of the whole square plate to be used for general cases of square plate dimensions were established.
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