COMSOL Analysis: End Loaded Cantilever Beams of Various Cross Sections Gregory Hew
Description of System End loaded steel cantilever beam Analyzed at 4 different cross sections –Circular –Triangular –Square –I-Beam
COMSOL Model Used 3-D Structural Mechanics Steady State Boundary Conditions –Edge load –Fixed displacement Steel Beam Meshing –Physics Controlled
Results Circular SquareTriangular I-Beam
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 Courser Normal Finer Extremely Fine Analytical
Comparison of COMSOL and Analytical Solutions
Mesh Extension Difference Between Meshes/Actual Solutions X 10 5 Solutions ComparedSquareCircularTriangularI-Beam Courser - Normal Normal - Finer Finer - Extremely Fine Actual - Extremely Fine Verified convergence of solutions Slight divergence at extremely fine for circular cross section May be due to difficulties using tetrahedral meshes on circular geometry