Closed-form solution for shear lag effects of steel-concrete composite box beams considering shear deformation and slip

Abstract

Based on the consideration of longitudinal warp caused by shear lag effects on concrete slabs and bottom plates of steel beams, shear deformation of steel beams and interface slip between steel beams and concrete slabs, the governing differential equations and boundary conditions of the steel-concrete composite box beams under lateral loading were derived using energy-variational method. The closed-form solutions for stress, deflection and slip of box beams under lateral loading were obtained, and the comparison of the analytical results and the experimental results for steel-concrete composite box beams under concentrated loading or uniform loading verifies the closed-form solution. The investigation of the parameters of load effects on composite box beams shows that: 1) Slip stiffness has considerable impact on mid-span deflection and end slip when it is comparatively small; the mid-span deflection and end slip decrease significantly with the increase of slip stiffness, but when the slip stiffness reaches a certain value, its impact on mid-span deflection and end slip decreases to be negligible. 2) The shear deformation has certain influence on mid-span deflection, and the larger the load is, the greater the influence is. 3) The impact of shear deformation on end slip can be neglected. 4) The strain of bottom plate of steel beam decreases with the increase of slip stiffness, while the shear lag effect becomes more significant.