Reliability Analysis of Symmetrical Columns with Eccentric Loading from Lindley Distribution

Abstract

This paper shows the reliability of the symmetrical columns with eccentric loading about one and two axes due to the maximum intensity stress and minimum intensity stress. In this paper, a new lifetime distribution is introduced which is obtained by compounding exponential and gamma distributions (named as Lindley distribution). Hazard rates, mean time to failure and estimation of single parameter Lindley distribution by maximum likelihood estimator have been discussed. It is observed that when the load and the area of the cross section increase, failure of the column also increases at two intensity stresses. It is observed from the results that reliability decreases when scale parameter increases.

Keywords

Reliability / Lindley distribution / Hazard rate / Mean time to failure / Intensity stress / Eccentric load