Elastic Bending Theory of Composite Bridge with Corrugated Steel Web Considering Shear Deformation

Abstract

The classical Euler-Bernoulli girder theory is not applicable due to shear deformation of corrugated steel web, elastic bending theory considering shear deformation is presented to analyze deflection and mechanical property. Differential equation is derived based on displacement field assumption, internal force equilibrium equations, deformation compatibility condition and relation of deformation and internal force, and solutions are obtained according to boundary and load condition. Simply supported I and box girder bridges with corrugated steel web are analyzed with elastic bending theory considering shear deformation, their predicted results are found in good agreement with those by 3D finite element analysis and test. A limit value of depth-span ratio is suggested for considering influence of shear deformation or not, the simplified formula of deflection in middle span is presented to guide deflection design. Corrugated web accounts for more than 80% of total shear force in the whole span under uniform load while one third apart from bearing under concentrated load in mid-span. The elastic bending theory considering shear deformation makes a reference for designing composite bridge with corrugated steel web.

Calculation Theory of Shear Stress Distribution in Box Girder with Corrugated Steel Webs Based on the Energy Method

“…Due to the relatively thin thickness of the waveform steel web, the shear deformation of the waveform steel web cannot be neglected when analyzing the mechanical behavior of waveform steel web composite box girders. He Jun et al [22] assumed different rotations between the concrete flanges and the section, established a bending theory considering shear deformation, and analyzed the influence of a high span-to-depth ratio on beam deflection. Nie Jianguo et al [23] considered the superposition of bending and truss actions to account for the bending behavior of waveform steel web composite box girders and proposed the effective stiffness method considering web shear deformation.…”

Equivalent computational models and deflection calculation methods of box girders with corrugated steel webs

“…A more refined beam theory that accounts for shear deformation is derived by the application of the variational principle. Based on the displacement field assumption, internal force equilibrium equations, and the deformation compatibility condition, He et al, [22] presented the elastic bending theory by considering shear deformation for a composite bridge with CSWs.…”

“…Assuming that an equivalent beam with a constant cross section is used to replace the above non-prismatic beam, using the equivalent inertia moment is denoted by Based on the principle of equal deformation, set Eq. (21) equal to Eq (22)…”

Shear Stress Distribution and Deflection of Preflex I-Girder with Corrugated Steel Web

“…Johnson [7] observed that the shear modulus of the corrugated steel web is smaller than that of steel due to the shape is corrugated, and consequently proposed a concept of effective shear modulus and provided related calculation equation. Li and He [8,9] based on the former research deduced deflection differential equations respectively, which considered the influence of shear deformation, and then established simplified equations for concentrated force and distributed load imposed to simply supported girders. However, there are still few reports about the shear stress distribution and shear deflection of composite girder with corrugated steel web at present.…”