This paper presents 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 [L D]). Hazard rate, Mean time to failure has been discussed. It is observed from the results that the Reliability is decreasing when the load and scale parameter ( are increasing. It is observed that the area of cross section increased from 1000mm2 to 10000mm2 caused the increasing of reliability from 0.50 to 0.93 at minimum intensity.