Abstract
Concrete-filled steel tube (CFST) beams are widely used in civil engineering, especially for bridges and tall buildings, because of their strength, stiffness and durability. Good bonding at their interface is essential for ensuring that steel and concrete can work well together. However, if interfacial slippage does occur it not only hinders the plasticity of a beam’s performance in full section but also weakens its strength and stiffness. To study the mechanism of slip occurrence and its impact, eight prestressed CFST rectangular beams were tested under monotonic loading. Slippage was measured during the entire loading procedure. Based on the elasto-plastic theory, a nonlinear finite element model, considering slippage is developed in this paper. The results show that slippage occurred when the concrete began to crack. This plays an important role in the overall performance of a beam after the steel has yielded. The maximum slip occurred near the section of quarter-span. To some extent, the slip curves generated by this model agreed with the test results, and it could be used to predict the bending capacity of prestressed CFST beams.
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Acknowledgements
We gratefully acknowledge the support of the Sichuan Science and Technology Program (Grant 2018GZ0052), the National Key Research and Development Program of China (Grant 2016YFB1200401), and the Science and Technology Project of Sichuan Province (Grant 2017GZ0369) for the research reported in this paper.
Funding
The Sichuan Science and Technology Program (Grant 2018GZ0052), Sichuan provincial science and Technology Department, China. The National Key Research and Development Program of China (Grant 2016YFB1200401), Ministry of science and technology of People's Republic of China. The Science and Technology Project of Sichuan Province (Grant 2017GZ0369) Sichuan provincial science and Technology Department, China.
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Appendix
Appendix
The following symbols were used in the paper:
\(\lambda\) = the degree of prestress.
\({M_0}\) = the decompression moment, which meant the moment that produced zero tension at the tensile fiber of the section in the middle span considering the influence of prestress.
\({M_u}\) = the ultimate moment of the composite section.
\({\sigma _h}\) = the effective compressive prestress at the tensile edge of composite section.
\({W_0}\) = the flexural modulus.
\(\alpha\) = steel ratio of composite section.
\({A_s}\), \({A_c}\) = area of steel and concrete, respectively.
\({\sigma _c}\),\({\varepsilon _c}\) = the compressive stress and strain of concrete.
\(\sigma _{c}^{'}\),\(\varepsilon _{c}^{'}\) = the compressive strength and the corresponding strain of concrete.
\({\sigma _t}\), \({\varepsilon _t}\) = the tensile stress and strain of concrete.
\({E_c}\) = the Young’s modulus of concrete.
\({\sigma _{tu}}\),\({\varepsilon _{tu}}\) = the tensile strength and the corresponding strain of concrete.
\({\sigma _s}\), \({\varepsilon _s}\) = the stress and strain of steel.
\({E_s}\) = the Young’s modulus of steel.
\({\sigma _y}\),\({\varepsilon _y}\) = the yield stress and the corresponding strain of steel.
\({\varepsilon _{sh}}\) = the strengthening strain of steel.
\({\sigma _u}\),\({\varepsilon _u}\) = the ultimate stress and the corresponding strain of steel.
\(k\) = the powering of hardening rule, taken as 3.
\({\sigma _{ps}}\),\({\varepsilon _{ps}}\) = the stress and strain of prestressed strands.
\({\sigma _{pu}}\) = the ultimate strength of prestressed strands.
\({E_p}\) = the Young’s modulus of prestressed strands.
\({E^\prime }\) = the slop at the initial point of Ramberg–Osgood curve, taken as 214 GPa.
\(m\) = the coefficient for Ramberg–Osgood curve, taken as 4.
\(\tau\) = the shear stress on the interface.
\(u\) = the slip on the interface.
Mcr = the cracking moment of mid-span.
M100 = the moment corresponding to the deformation reached the 1% of the span.
My2 = the moment corresponding to the yield state of steel at compressive side.
M, Δ = the moment and the corresponding deformation of mid-span.
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Zhan, Y., Zhang, L., Zhao, R. et al. Theoretical and Experimental Study on the Bond–Slip Relationship in Prestressed CFST Beams. Int J Civ Eng 17, 629–643 (2019). https://doi.org/10.1007/s40999-018-0344-6
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DOI: https://doi.org/10.1007/s40999-018-0344-6