Engineering Solid Mechanics, cilt.14, sa.3, ss.283-298, 2026 (Scopus)
Engineering and economics have played a significant role in today’s world. Together, these two disciplines have contributed to the construction of more sustainable, safer and more durable structures. With technological advancements, structural analyses have become more accessible, allowing for rapid architectural design and implementation of desired geometries. Within the scope of this study, appropriate cross-sections and displacement values of cantilever beams under four different loadings are investigated for both rectangular and circular cross-sectional shapes. Analytical and finite element-based simulation solutions are obtained, taking into account the constant strength criterion throughout the analyses. Displacement values are calculated for prismatic beams and variable-section beams as width or height changed along the beam length. The exact displacements are analytically evaluated; three-dimensional cross-section models and simulation analyses are created using SolidWorks. The three-dimensional cross-section models and the total volume reductions resulting from cross-section changes and the resulting material savings are also investigated.