Abstract
Designing structural members is targeted in resisting against the loads such that the safety of considered structure is maintained regarding different conditions of loading. The method existing in ACI guideline is considered using load and resistance factors regardless of random nature of design parameters. Existing uncertainties in design parameters such as load and resistance have caused changes in safety of structure and the use of constant coefficients in different states of loading has often caused design unsafely. The present research has discussed the design of all the probabilities for reinforced concrete beams subjected to bending, shear and torsion stresses. For this, analytical relations of limit state have been developed to combine different stresses. Monte Carlo method is the method used to calculate safety measures, in which safety surface of American Concrete Institute (ACI) and different limit states have been calculated for three different sections (T-shape, rectangular shape and L-shape). The results of paper indicate that the safety index is considered in the range of 3 to 4 at different limit states. Load and resistance coefficients have been calculated in different safety indices and influence of load and resistance coefficients on American Concrete Institute (ACI) have been examined. Using the proposed method, designer enables to take an action for design by changing the conditions governing the problems such as dimensions, load and features of the section regarding the safety of structure. Further, under use of constant coefficients with sufficient information on composition of the considered loads, the designer enables to design and ratio of load and different limit states of the considered structure. Studying influence of changes of numbers in load and resistance coefficients on American Concrete Institute (ACI) has been mentioned as the major objective of the present research, indicating that resistance coefficient has more significantly influence on American Concrete Institute (ACI) in different loading compositions.
Highlights
Reliability method as a probabilistic design approach that was proposed for the first time by Ellingwood in1974, and many efforts were carried out in order to employ uncertainties and probability of parameters in current design methods [1]
In 2014, Bakers et al [5] examined the reliability of concrete bridge in which the studied beam was under the effect of the moment and shear forces
Extensive researches were accomplished for safety index calculations; no single study exists, which computes the load and resistance factors that related to the specified safety index
Summary
Reliability method as a probabilistic design approach that was proposed for the first time by Ellingwood in1974, and many efforts were carried out in order to employ uncertainties and probability of parameters in current design methods [1]. In 2014 Daniel Jensen [4] was carried out research to obtain the reliability index to show the effect of shear forces and reinforcement of concrete bridges. He showed that the use of this method was made the design 10 % to 15 % lighter. In 2014, Abejide examined the effects of uncertainties in the safety of section for three flexure, shear and axial compression states in ACI 318-11 standard by considering the random nature of the parameters for reinforced concrete[9]. Jafari et al studied the safety index of Iranian Concrete Standard for bending, shear and torsion state using Monte Carlo simulation. Various limit states function such as (shear, torsion, and bending) were assumed and the safety indexes and the load resistance factors which were addressed in the ACI standard
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