Issue 51

F. Jafari et alii, Frattura ed Integrità Strutturale, 51 (2020) 136-150; DOI: 10.3221/IGF-ESIS.51.11 136 Reliability-based design of reinforced concrete beams for simultaneous bending, shear, and torsion loadings Faezeh Jafari Malayer University, Iran Faeze_jafari666@yahoo.com Jalal Akbari* Bu- Ali Sina University, Hamedan, Iran j.akbari@basu.ac.ir A BSTRACT . The design of Structural members is targeted in resisting the loads such that the safety of the structure is preserved regarding different conditions of loadings. The traditional design method in concrete standards is based on the load and resistance factors regardless of the random nature of them. Uncertainties in design parameters such as load and resistance have great influences in the safety of the structure and using constant coefficients caused unsafe and uneconomical designs. The present research is focused on a probabilistic design of reinforced concrete beams subjected to simultaneous actions of bending, shear, and torsion. For this purpose, analytical formulas for the limit states have been developed to combine different stresses. Monte Carlo simulation method is used to estimate the safety indexes for three different T, rectangular and L-shaped cross-sections. Then, the load and resistance factors have been calculated in different safety indexes, and the influence of load and resistance factors based-on ACI standard has been examined. The proposed method is applicable to all concrete standards. However, here the procedures are based on the ACI standard. K EYWORDS . Reliability-Based Design; Reinforced Concrete Beam; Safety Index; Load and Resistance Factors; Monte-Carlo Simulation. Citation: Jafari, F., Akbari, J., Reliability- based design of reinforced concrete beams for simultaneous bending, shear, and torsion loadings, Frattura ed Integrità Strutturale, 51 (2020) 136-150. Received: 29.08.2019 Accepted: 07.11.2019 Published: 01.01.2020 Copyright: © 2020 This is an open access article under the terms of the CC-BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. I NTRODUCTION eliability method as a probabilistic design approach that was proposed for the first time by Ellingwood in1974, and then many efforts were carried out in order to employ uncertainties and probability of parameters in current design methods [1]. For instance, Evan et al [2] calculated the shear force of reinforced concrete beam in ACI regulation using new methods of reliability in 2006. The conducted researches in this field indicate this important issue that the various factors are effective in the failure of concrete beams. These factors are the ratio of the span length over effective depth, ratio of longitudinal steel, support conditions, loading conditions, and materials properties. The performance of a concrete beam in the laboratory on the basis of the statistical methods was studied. In 2013, Porco et al [3] studied the R