Time-dependent analysis of composite beams with continuous shear connection based on a space-exact stiffness matrix

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• 作者：Quang-Huy Nguyen ; Mohammed Hjiaj ; Brian Uy
• 关键词：Steel– ; concrete composite beams ; Partial interaction ; Space-exact solution ; Creep ; Shrinkage ; Space-exact stiffness matrix ; Beam element
• 刊名：Engineering Structures
• 出版年：2010
• 出版时间：September 2010
• 年：2010
• 卷：32
• 期：9
• 页码：2902-2911
• 全文大小：806 K

文摘

In this article, the time-dependent behavior of continuous composite beams with partial interaction is investigated using a space-exact, time-discretized finite element formulation. The effects of creep and shrinkage taking place in a concrete slab are considered by using age-dependent linear viscoelastic models. The Euler–Bernoulli’s kinematical assumptions are considered for both the connected members and the shear connection is modeled through a continuous relationship between the interface shear flow and the corresponding slip. Based on above key assumptions and the time-discretized form of the constitutive relationships, the governing differential equations are derived in terms of the displacements at a generic instant. These equations are analytically solved and the corresponding space-exact stiffness matrix is deduced for a generic composite beam element. This stiffness matrix may be utilized in a classical finite element procedure for the time-dependent analysis of composite beams with partial interaction. The present finite element formulation requires a minimum number of elements depending on the support and loading conditions. Finally, a time-dependent analysis of two-span continuous composite beams is presented. The results compare favorably with experimental data as well as previous numerical studies. It can be seen that shrinkage and creep can have a significant influence on the beam’s deflection.