This study considers various factors, such as shear lag effect and shear deformation, and introduces the self-stress equilibrium for shear lag warping stress conditions to analyze the static characteristics of T-beam bridges accurately. In the mechanical analysis, three generalized displacement functions are applied, and the governing differential equations and natural boundary conditions of the static characteristics of T-beams are established on the basis of the energy variational principle. In the example, the influences of the shear lag effect, different load forms, and span ratio on the mechanical properties of T-beam bridges are analyzed. Therefore, the method of this study enriches and develops the theoretical analysis of T-beams, and it plays a certain guiding role in designing such a structure.
In order to accurately analyze the bending vibration frequency of the new composite box girder, the effects of web folding effect, shear lag, and shear deformation are comprehensively considered in this paper, and the elastic control differential equation and natural boundary conditions of the composite box girder are established by using the Hamilton principle. A one-span composite box girder with corrugated steel webs is used as a numerical example. The effects of height span ratio, width span ratio, web thickness, cantilever plate length, and fold effect on the vertical vibration frequency of the new composite box girder are analyzed. The results show that the analytical solution is in good agreement with the finite element solution. When considering the shear lag and fold effect, the vibration frequency of composite box girder decreases. With the increase in order, the influence of shear lag and fold effect on its frequency becomes stronger. The changes of height span ratio and web thickness of composite box girder have a great influence on its folding effect, while the changes of width span ratio and cantilever plate length have little influence on it. The conclusion can provide a reference for the design of medium section new composite bridge in practical engineering.
In order to analyze the influence of sulfate corrosion on the mechanical behavior of reinforced concrete beams, the dry‐wet cyclic corrosion test was carried out on the model test beams, and the two test beams corroded for 0 d and 60 d were statically loaded, respectively. Then, the changes in flexural mechanical properties of the two test beams corroded for 0 d and 60 d were studied. Finally, the nonlinear finite element model was created by using ABAQUS. The plastic damage model is used to reflect the sulfate corrosion, and the mechanical properties of concrete beams under long‐term sulfate corrosion are further analyzed. The results show that the compressive strength of the test beam concrete after 60 days of corrosion is 13.6% higher than that before corrosion, which indicates that the strength of concrete is increased by sulfate corrosion in the early stage. With the increase of sulfate corrosion time, the strength and stiffness of the beam first increase and then decrease. With the change in corrosion time, the cracking load and flexural capacity first increase and then decrease, which is consistent with the mechanism of sulfate densification first and then deterioration of the concrete structure. The calculation formulas of cracking load and bending capacity obtained by fitting are accurate.
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