Attachment lug joints are commonly used in aerospace and mechanical structures. Lug joints are generally used to connect major structure components for transfer of loads and they often subjected to repeated load spectra. Lug and pin joints have been designed based on theoretical strength of materials models. In this study, geometry was determined and analysed using theoretical Strength of material calculations. The ultimate loads and allowable stresses by using different materials (Inconel718, Waspaloy, Stellite6, 2024T351 plate, 7075T651 plate, Mg Bronze, 4130 steel) in the current lug joint geometry are caliculated by strength of material calculations. From calculations we determined the allowable limiting loads for those different materials in the double shear lug joint. It is suggested the highest allowable limiting load of a double shear lug joint by using different materials in the geometry under allowable stresses.