CALCULATION AND ANALYSIS OF INTERFACE SLIP OF COMPOSITE BEAMS
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摘要: 钢-混凝土组合梁(以下简称组合梁)的界面滑移总是存在的，滑移的存在会降低组合梁的组合作用和刚度，增大挠度，要计算组合梁界面的滑移及挠度，对于简支梁在简单荷载情况下，还可得到解析解，但对于连续梁要得到解析解是十分困难的，另外简支梁的解析解十分冗长，实际运用十分不便。用有限元法计算组合梁的滑移和挠度将是很有效的，不受荷载及支撑条件限制，而有限元法的关键是单元刚度矩阵，该文用虚功原理推导了组合梁的单元刚度矩阵，并用自编的有限元程序对组合梁的滑移和挠度进行了计算，在简支情况下与解析解进行了对比和验证，误差很小，在1%以内。该文推导的单元刚度矩阵可用于小型的自编有限元软件，为快速经济地解决相关的大量实际工程问题奠定了基础。Abstract: Interface slip always exists in steel-concrete composite beams (hereinafter referred to as composite beams),it will also reduce composite effect and stiffness and increase deflection of composite beams.If the interface slip and deflection are to be calculated,closed solutions can be only obtained for simple cases,such as for simply supported beams with simple load cases.For a continuous beam it is difficult to obtain a closed solution.Moreover the closed solutions are often too long and too complicate for application.With the finite element method,it is efficient to calculate the interface slip and deflection and there is no restriction of loads and supports.The key step for the finite element method is establishing an element stiffness matrix,which is derived in this paper by using the principle of virtual work.In addition the interface slip and deflection of a simple supported composite beam is calculated by using the finite element program designed by the auther and the results are compared with those of the closed solutions.It shows a good agreement and the difference of both results is small and within 1%.Thus the element stiffness matrix derived in the paper is correct and can be used in the finite element program for solving a large number of practical engineering problems.
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Keywords:
- composite beams /
- finite element /
- element stiffness matrix /
- shear connection /
- interface slip
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