This paper presents a novel analytical model for the analysis of composite beams with longitudinal and vertical partial interaction which accounts for time and shear-lag effects. Its particularity relies on the ability of the interface connection to deform both longitudinally and vertically, i.e. transverse to the connection interface. All materials are assumed to be linear-elastic except for the concrete, whose time-dependent behaviour, is modeled by means of an integral-type creep law. The theoretical model is derived using the principle of virtual work based on which different displacement-based finite elements are derived. Their ability to accurately depict the partial interaction behaviour is then discussed using simple structural systems, i.e. simply supported and propped cantilever beams, ignoring time and shear-lag effects to better identify their performance. Curvature locking problems, which have been observed in the finite element simulations, are discussed and their origins are demonstrated analytically.
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