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Published byEleanor Mitchell Modified over 9 years ago
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COMSOL Analysis: End Loaded Cantilever Beams of Various Cross Sections Gregory Hew
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Description of System End loaded steel cantilever beam Analyzed at 4 different cross sections –Circular –Triangular –Square –I-Beam
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COMSOL Model Used 3-D Structural Mechanics Steady State Boundary Conditions –Edge load –Fixed displacement Steel Beam Meshing –Physics Controlled
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Results Circular SquareTriangular I-Beam
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Verification of Results Analytical solution exists Based off stress/strain theory. Utilized to determine the integrity of solution Error percentage ranged from 0.58% to 1.68% Magnitude of Displacement Mesh SizeSquareCircularTriangularI-Beam Courser1.96623.40715.88802.1496 Normal2.01363.41255.95862.1567 Finer2.02663.41386.01572.1615 Extremely Fine2.03363.41596.03482.1644 Analytical2.0003.3956.0002.133
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Comparison of COMSOL and Analytical Solutions
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Mesh Extension Difference Between Meshes/Actual Solutions X 10 5 Solutions ComparedSquareCircularTriangularI-Beam Courser - Normal0.04740.00540.07060.0071 Normal - Finer0.01300.00130.05710.0048 Finer - Extremely Fine0.00700.00210.01910.0029 Actual - Extremely Fine0.03360.02090.03480.0314 Verified convergence of solutions Slight divergence at extremely fine for circular cross section May be due to difficulties using tetrahedral meshes on circular geometry
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