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| Evaluation of arbitrary cross sectional properties with finite element method |
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| DOI：10.7511/jslx20085121 |
| KeyWord:finite element,beam element,cross-sectional properties,shear area coefficient,torsional coefficient |
| ZHOU Ling-yuan LI Qiao QIANG Shi-zhong |
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| Abstract: |
| The determination of the sectional properties of cross-section depends upon the solution of a two-dimensional boundary value problem.By making use of warping function,the torsion and flexure problems are formulated,a finite element procedure of two-dimensional torsion and flexure problem is developed for arbitrary cross-section by using the theorem of minimum potential energy.The cross-section is discretized with six-node and eight-node isotropic plane element to evaluate the torsional coefficient,shear center and the shear area correction coefficients of any beam with irregular cross-section.The sectional area and inertial moment are also calculated with the numerical integration,a finite element program is developed with this method,Two numerical examples are given,the result of a rectangular cross-section and the result of cross-section of box beam of SongAo bridge are compared with theoretical solution and the result with Ansys respectively to demonstrate the efficiency and accuracy of the method. |
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