Title:
Probabilistic Analysis of Interior Reinforced Concrete Flat Slabs
Author(s):
Georgios P. Balomenos, Aikaterini S. Genikomsou, Mahesh D. Pandey, and Maria A. Polak
Publication:
Symposium Paper
Volume:
321
Issue:
Appears on pages(s):
2.1-2.16
Keywords:
probabilistic analysis; finite element analysis; sensitivity analysis; multiplicative dimensional reduction method; reinforced concrete flat slabs
DOI:
10.14359/51701189
Date:
9/29/2017
Abstract:
Four interior reinforced concrete flat slabs are analyzed deterministically using the finite element analysis (FEA) program ABAQUS. Using this verified FEA model, probabilistic FEA is performed considering uncertain material properties. Probabilistic FEA is executed using a new variance based method, namely, multiplicative dimensional reduction method (M-DRM). M-DRM is selected because it overcomes the computational cost limitation, which can be a barrier for these
types of analyses; it provides the probability distribution of any structural response, e.g., distribution of punching shear strength; it conducts sensitivity analysis without requiring any
further execution of the FEA code. M-DRM is automated in ABAQUS using python programing. First, this study examines how material uncertainty impacts the structural response of interior flat slabs, in terms of ultimate load and ultimate displacement. Then, sensitivity analysis is performed
in order to prioritize the most influential input random variables with respect to these structural responses. Finally, probability distribution of the punching shear resistance is also derived, using the design equations from the American code (ACI 318) and Eurocode 2 (EC2), in order to examine the degree of conservatism associated with the current design practices.
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