Modeling Deflection Control of Reinforced Concrete Slab Systems Using Utility Theory and Sensitivity Analysis

Abstract

The model presented in this study provides a rational approach to deflection control of reinforced concrete two way slabs considering uncertainties in structural behavior and deflection limits and recognizes that the problem is subject to wide and unavoidable variability. Concepts of Monte Carlo simulation and utility theory are presented. A simulation model taking into account the uncertainties in materials and loads along with sensitivity analysis of results are presented. Results of simulation represented in the form of probability density function (PDF) and cumulative density function (CDF), optimum thickness and results of sensitivity analysis of reinforced concrete two-way slab systems are presented. This study explores the application of utility theory to the problem because serviceability failure can occur in structures with adequate safety against collapse, in which the question becomes an economic issue. In this study, uncertainties in time effects (Creep and shrinkage) are taken into account by using Monte Carlo simulation and are based on proposed variable parameters taken from major references.

Keywords

• Monte Carlo Simulation
• Utility Theory
• Deflection Control
• Two Way Slabs