ISSN 2277 – 3916 CVR Journal of Science and Technology, Volume 9, December 2015 CVR College of Engineering 1 Moment Capacity of Reinforced Concrete Beam Including Uncertainties Divya Kolasani 1 , A. Venkat Reddy 2 1 CVR College of Engineering, Department of Civil Engineering, Hyderabad, INDIA Email: divyakolasani@gmail.com 2 CVR College of Engineering, Department of Civil Engineering, Hyderabad, INDIA Email: venkat.reddy@cvr.ac.in Abstract – The purpose of this paper is to evaluate the reliability of reinforced concrete beam designed under the provisions of IS: 456- 2000 including the numerous sources of uncertainties in the load and resistance-related parameters, which are usually not included in the theoretical method of calculating the Ultimate Moment Capacity of a reinforced beam. Based upon the statistical results, the possible random variables are obtained from large experimental data. In this attempt, the probability of failure of a reinforced concrete beam is obtained by calculating Ultimate Moment Resisting Capacity. These random variable distribution curves, incorporating various uncertainties are included, excluding the partial safety factors, using a high level computing language i.e., MATLAB is used for our work. Keywords: Reliability, Ultimate moment carrying capacity, Reinforced Concrete Beam, Partial Safety Factors. I. INTRODUCTION In this theoretical method of calculating the ultimate moment carrying capacity of a reinforced concrete (RC) beam, we include partial safety factors for materials and neglect the various uncertainties included during the construction like variation in material properties, geometric dimensions and other load and resistance parameters which are random in nature. Various studies have been conducted globally in order to obtain the probabilistic approach of variations in the design parameters. Based upon the large experimental data available the nature, distribution of random variables is attained. Using these possible random variables, a large mathematical and experimental data is generated using the various simulation techniques available and the reliability of a given structure is calculated for an array of inputs given. II. RESEARCH METHODOLOGY Ultimate Moment of Resistance (Mur) of an RC beam without considering the partial safety factor: The code has adopted the usage of partial safety factors as given below: R d  S d R d is the design resistance is computed using reduced material strengths, involving two separate partial safety factors  c (for concrete) and  s (for steel). S d is the design load effect computed for enhanced loads involving separate partial safety factors. It may be noted that the partial safety factors of materials ( c ,  s ) are greater than unity and are the dividing factors while the multiplication factor  is less than unity leading to overestimation of loads and underestimation of material strength resulting in improved safety. But in this case the partial safety factors are not taken into consideration. The nominal strength of concrete 0.67fck and nominal yield strength of steel (fy) on the side of resistance and nominal load effects are taken as such providing nominal results. Figure: 1 Characteristic and design stress- strain curves of concrete Figure: 2 Characteristic and design stress- strain curves for Fe 250 grade cold worked steel. DOI: 10.32377/cvrjst0901