Deflections of Cantilever Beams Subjected to A Point Load At the Free End

Abstract

In this study, the displacements of cantilever beams for various slenderness ratios under point load are analyzed using Timoshenko and Bernoulli-Euler beam theories. The variation of the slenderness ratio is achieved only by changing the beam length. The results from these theories are compared with those from SolidWorks, which is considered a reliable simulation software. With this comparison, the % difference rates between the simulation and theoretical results are determined. This study explains under which conditions the Timoshenko and Bernoulli-Euler beam theories should be applied and evaluates the accuracy of the simulation software. Detailed research is carried out to examine its compatibility with these two theories. Some numerical results are presented to demonstrate their validity and sensitivity.

Keywords

• Beam bending
• Timoshenko beam theory
• Euler-Bernoulli beam theory

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