Author(s): Lucas Fernández, Mateo Rojas and André Leclerc

Abstract: Cantilever beams are fundamental structural elements widely used in mechanical and civil engineering applications where components are fixed at one end and subjected to external loading at the free end. Understanding the influence of external static loads on deflection and stress distribution is essential for safe design, serviceability, and material optimization. This research investigates the effect of externally applied static loads on the deflection behavior and stress distribution of cantilever beams fabricated from mild steel. Analytical formulations based on classical Euler-Bernoulli beam theory are employed to predict deflection profiles and bending stresses under varying load magnitudes. These theoretical results are complemented by experimental observations obtained from laboratory-scale cantilever beam tests using controlled loading conditions. Strain and deflection measurements are recorded at critical locations along the beam span to evaluate stress gradients and displacement patterns. The comparison between analytical predictions and experimental results enables validation of theoretical assumptions and identification of deviations arising from material nonlinearity, boundary conditions, and measurement uncertainties. Results indicate a proportional increase in maximum deflection and bending stress with increasing external static load, confirming linear elastic behavior within the investigated load range. Stress concentration is observed near the fixed end, while deflection follows a smooth nonlinear spatial distribution along the beam length. The findings demonstrate that mild steel cantilever beams exhibit predictable and stable mechanical response under static loading when stresses remain below the yield limit. The research provides practical insights into load-deflection relationships and stress distribution characteristics relevant to mechanical design, structural analysis, and educational laboratory applications. The outcomes support the continued use of classical beam theory for preliminary design and emphasize the importance of experimental validation for accurate structural assessment. These conclusions assist engineers, researchers, and students in improving safety margins, optimizing material usage, and interpreting structural response under service level static loading conditions accurately.

DOI: 10.22271/27078043.2026.v7.i1a.106

Pages: 10-14 | Views: 64 | Downloads: 36

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