L-brackets are a simple rigid mechanical structure utilized for fixing two components where one component which is usually the smaller component is horizontal (shelf), and the other component which is usually the larger component is vertical (wall). L-brackets are acknowledged to be used for several distinct applications and in countless industries; however, they are commonly used for fixing static structures for housing and construction applications. In engineering, as much as it is of high importance that a product must be functional, it is also crucial that the product must be safe whilst using as minimal material as possible to acquire an optimal design. The purpose of this paper is to conduct static analysis and illustrate the influence and effect of certain parameters on the safety and functionality of the design using finite element analysis (FEA), then optimizing the structure of our proposed design using SOLIDWORKS software in order to obtain a minimum satisfactory factor of safety equivalent to two according to Von Mises criterion.