Numerical determination of reliability in probabilistic design

Abstract

© IMechE 2014. The paper gives a numerical procedure for determining the reliability, based on known theoretical models for distribution of the working stress and the corresponding mechanical properties of materials. The procedure is based on one of the transformed forms of the general equations for the analytical determination of reliability. Along with a presentation of the method, a detailed explanation is given of the algorithm that the created computer program is based on. The verification procedure is performed as an example for a combination of normal distributions of the working and the critical stresses. At the end of the paper is presented a discussion on impact of each of the factors that influence the accuracy of solutions of the considered method.