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Integrative Technique With Applications to Plane Beam Elements
Wang Jialin(1,2),Chen shanlin(1),Peng kai(2),Xiao shengxie(2)
(1 College of Civil Engineering, Chongqing University, Chongqing 400044,P R China)
(2 Department of Civil Engineering & Architecture, Chongqing Jiaotong University, Chongqing 400074,P R China)

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Abstract: Based on the detailed analysis of the displacements of an arbitrary point within a plane beam element, the technique of integrating a sub-beam element to a generating beam element is put forward with the principle of virtual work to conveniently and accurately simulate the problems of reinforced members or members with varying sections during different phases. the numeric computation with the integrative elements for the given examples verifies the flexibility and accuracy.
Keywords: plane beam element, mother beam element, child beam element, integration, virtual work principle.