Probabilistic Analysis of Reinforced Concrete Frame

Abstract

Nonlinear response of reinforced concrete structures are sensitive to the material properties of the constituents. A probabilistic analysis is required to assess the uncertainty exist in the response. In this study, a single storey single bay frame is designed using the Indian Standard code of practice for seismic loads. A computational model based on a fiber element concept is developed using Opensees platform. Parameters such as compressive strength of concrete, Young’s modulus of concrete, yield strength of main steel, yield strength of transverse steel factors, geometric properties of beam and column are considered as random variable. A Monte-Carlo simulation is carried out in the computational model considering probabilistic distribution incorporating the uncertainties in materials. Pushover analyses of the computational models are carried out to obtain the probabilistic distribution of base shear and roof displacement at yield level. A histogram is plotted for the distribution of yield base shear and the coefficient of variation, which represents the uncertainty is estimated. A best fit probability distribution curve is found out for the base shear at yield.