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Published byLilian Norris Modified over 9 years ago
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2D M ODELING OF THE D EFLECTION OF A S IMPLY S UPPORTED B EAM U NDER P OINT OR D ISTRIBUTED L OADS Y IN -Y U C HEN MANE4240 – I NTRODUCTION TO F INITE E LEMENT A NALYSIS A PRIL 28, 2014
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Introduction/Background
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Analytical Formulation/Solution
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Modeling COMSOL Multiphysics 2D Structural Mechanics, Solid Mechanics and Stationary presets Rectangular geometry with prescribed displacements of 0m at bottom corners (x & y for one, y only for the other) to represent a simply supported beam Point load case: -300000N at center (x=4m) Distributed load case: -37500N/m Mesh Extension Validation Extremely Fine Finer Normal Coarser Extremely Coarse
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Results Simply Supported Beam with Point Load at the Center Simply Supported Beam with Uniformly Distributed Load
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Results Comparison of COMSOL Modeling/Numerical and Analytical Method Results Comparison of ANSYS Modeling/Numerical and Analytical Method Results
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Conclusions Maximum deflection of a simply supported elastic beam subject to point or distributed loads may be achieved using either the modeling/numerical or analytical methods Appears that the shape of the cells for the mesh is a major factor in the accuracy of the maximum beam deflection results Quadrilateral cell mesh may offer the most accurate solution The steel beam requires a minimum height of 0.2m from the ground for the tank to avoid setting off the land mine This study highlights necessity for verifying the reliability of the approximate solution by comparing the results to: A theoretical/exact solution A different modeling approach A mesh extension validation If results from the COMSOL analysis of the uniformly distributed load across the beam were used without a factor of safety > 1.1 for the height of the beam from the ground, the maximum deflection due to the tank would set off the land mine
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