Calculation of Failure Probability of Constantly Loaded Cantilever Beam by Monte Carlo Method

Abstract

In this paper, we demonstrate a probabilistic approach to the design of structures on a cantilever beam with constant load. Individual variables in the mathematical model are not represented deterministically by their specifc values but randomly by probability distributions. Normal distribution is used for all random variables. The resulting probability of failure is calculated using a simple Monte Carlo method, for which a brief overview is also provided in this article. Such a probabilistic proposal is the subject matter of newly emerging feld Reliability of Structures.

Keywords

• failure probability
• constant load
• cantilever beam
• monte carlo method
• reliability of structures