Effect of Plan Area of the Building on Period of Vibration of RC Framed Structures

Fundamental natural period of vibration T of the building is an important parameter for evaluation of seismic base shear. Empirical equations given in the Indian seismic code for the calculation of the fundamental period of a framed structure, primarily as a function of height, and do not consider the effect of stiffness of the structure, base dimensions of the structure, number of panels in both the directions, plan are of the building and amount of infill as well as properties of the infill. The fundamental natural period can be evaluated using simplified expressions found in codes, which are based on earthquake recordings in existing buildings, laboratory tests, numerical or analytical computations. These technical codes provide expressions which depend on basic parameters such as building height or number of stories. Building periods predicted by these expressions are widely used in practice although it has been observed that there is a scope for further improvement in these equations, since the height alone is inadequate to explain period variability. It is also known that the period of a RC frame structure differs depending on whether the longitudinal or transverse direction of the structure is considered. The aim of this study is to find the effects of plan area of the building to predict the fundamental natural period of vibration of reinforced concrete buildings with moment resisting frames (MRF). A few examples of dynamic analysis are presented in this study in order to show that the effect of plan area of the structure in calculating the time period of the structure.