Design and analysis of a cantilever beam test rig

Abstract

This research examines how much a cantilever beam deflects when loaded from outside by employing two types of studies; an analytical approach (using Euler-Bernoulli beam theory), and a numerical study (finite element method) using the software SolidWorks. Additionally, this research included the design of a test apparatus that will allow future experimental validation of the beam's deflection behaviour under controlled conditions.

For each of the analytical and numerical models, the deflection due to multiple loads was calculated and then those values were compared. The analytical and numerical models produced deflection-load curves that were directly proportional. However, the finite element model produced deflection values nearly 75% higher than the analytical model. These discrepancies are primarily attributable to the difference in boundary conditions used, modelling assumptions made, and the fact that the finite element model can simulate the three-dimensional nature of the beam behaviour.

Also, the results of simulations that utilized different material properties indicated that the value of Young's Modulus has a significant impact upon the beam stiffness. Finally, the test rig that was developed allows for a straightforward and efficient way to validate these results experimentally in the future.