# Non-deterministic Approach for Reliability Evaluation of Steel Beam

• Hawraa Qasim Jebur College of Engineering - University of Baghdad
• Salah R Al-Zaidee College of Engineering - University of Baghdad
Keywords: Reliability analysis, Monte Carlo Method, Matlab program.

### Abstract

This paper aims to evaluate the reliability analysis for steel beam which represented by the probability of Failure and reliability index. Monte Carlo Simulation Method (MCSM) and First Order Reliability Method (FORM) will be used to achieve this issue. These methods need two samples for each behavior that want to study; the first sample for resistance (carrying capacity R), and second for load effect (Q) which are parameters for a limit state function. Monte Carlo method has been adopted to generate these samples dependent on the randomness and uncertainties in variables. The variables that consider are beam cross-section dimensions, material property, beam length, yield stress, and applied loads. Matlab software has been adopted to generate these pseudo-random variables dependent on its statistical characteristics such as coefficient of variance and probability density function that gathered from a review of literatures.
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