Abstract: The failure of a system depends on many parameters, such as complexity, time, design, reliability of components, and operating conditions. If failure depends on the stress of a component, such reliability models are called stress dependent models. There are many types of stresses that occur in the body, like tensile, compressive, shear, and bending. Shear stress develops in a body when a pair of opposite forces act across the section tangentially. A reliability analysis over the I-section of a beam due to a uniformly distributed load has been conducted by finding the shear stress in the web and flange of the I-section. It is obtained that the maximum stress occurred at the neutral axis of the section and zero stress at the top of the section. In this article, the failure rate is considered to follow a Weibull distribution. The reliability is derived for constant, linear, and non-linear failure rates and is computed for various parameters. It is observed from the computations that reliability decreases as the load and overall depth of the section increase. It also increases as the thickness and depth of the web increase.

Key words: Reliability, Weibull distribution, hazard rate function, uniform distribution of load, shear stress