Over the past few decades, there has been significant growth in latticing techniques, resulting in the development of various core shapes with different properties in this fabrication method. This paper utilizes the finite element method to investigate the strength of a curved beam subjected to three-point bending conditions. It focuses on the maximum stress distribution in the concept of frictional contact between elements of an elastic material and three rigids, aiming to provide a constitutive geometrical model that mitigates the effects of bending and shear stresses. Cellular structure objects offer a promising and excellent solution for this purpose. The study includes a comprehensive comparison between solid-made beams and different lattice structures made of titanium alloy. The lattice specimen is modeled, and Abaqus software is employed for the coupled analysis to study the static strength. Recognizing the importance of relative density on the flexural properties of lattice structures, the critical zones are thoroughly examined, and an optimized model is proposed based on the obtained plots. Finally, conclusions are drawn based on the results of the numerical simulations. Additionally, a recommended model with maximum resistance against axial and shear loads is suggested for use as UAV landing gear.