Discussion on bending moment calculation by finite element method |
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Authors: | ZHOU Hou-de JIE Yu-xin |
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Institution: | 1. Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China; 2. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China |
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Abstract: | Solid element is often used to simulate soil and rock in geotechnical engineering. Other structures such as pile, cut-off wall and concrete panel are also often simulated with solid element when then are embedded in soils. Internal force and bending moment are important for design of these structures, so it is necessary to calculate bending moment with stress and displacement obtained by finite element method(FEM). This problem is studied by analyzing a cantilever beam. It shows that enough elements are necessary when bending moment is calculated with stress, whereas oscillation occurs and leads to unreliable results when bending moment is calculated with displacement. Shear locking and its influence is also investigated herein. |
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Keywords: | finite element method(FEM) bending moment displacement cantilever beam shear locking |
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