Cellular solids are composed by an interconnection of solid struts to form edges in foam shaped materials. Due to their high specific mechanical properties, they are very desirable in both industrial and academic fields. Even though, these materials have been widely used in the last decades, there is still no unified theory to predict their elastic behavior, especially in non-stochastic configurations. Due to the current development in the manufacturing of three-dimensional cellular structures by additive manufacturing and investment casting, there is a need to predict their behavior in practical applications. This study presents a geometrical and base material dependent formulation that predicts the elastic properties of honeycomb lattices. Such theory is based in flexure deformations using the classic beam theory, while the novelty of its formulation includes a rib angle dependent hinging correction. The suggested formulation that is able to show an enhanced correlation to experimental results, relatively to other current analytical models.