Computation of Deflections for PC Box Girder Bridges with Corrugated Steel Webs considering the Effects of Shear Lag and Shear Deformation

Abstract

Prestressed concrete (PC) girders with corrugated steel webs (CSWs) have received considerable attention in the past two decades due to their light self-weight and high prestressing efficiency. Most previous studies were focused on the static behavior of CSWs and simple beams with CSWs. The calculation of deflection is an important part in the static analysis of structures. However, very few studies have been conducted to investigate the deflection of full PC girders or bridges with CSWs and no simple formulas are available for estimating their deflection under static loads. In addition, experimental work on full-scale bridges or scale bridge models with CSWs is very limited. In this paper, a formula for calculating the deflection of PC box girders with CSWs is derived. The longitudinal displacement function of PC box girders with CSWs, which can consider the shear lag effect and shear deformation of CSWs, is first derived. Based on the longitudinal displacement function, the formula for predicting the deflection of PC box girders with CSWs is derived using the variational principle method. The accuracy of the derived formula is verified against experimental results from a scaled bridge model and the finite element analysis results. Parametric studies are also performed, and the influences of shear lag and shear deformation on the deflection of the box girder with CSWs are investigated by considering different width-to-span ratios and different girder heights. The present study provides an effective and efficient tool for determining the deflection of PC box girders with CSWs.

Experimental Study on the Flexural Performance of Composite Beams with Corrugated Steel Webs under the Coupled Effect of Chloride Ion Erosion and Sustained Load

“…Thus, the distribution of longitudinal strains along the width direction of the top plate of Beams A1 and A2 is uneven, indicating the presence of the shear lag effect, which is consistent with the findings of Ma et al [26], Chen at al. [27], and Ji et al [28]. Compared with Figure 23a,c, as well as Figure 23b,d, it can also be observed that the load is within the range of 220 kN, and the distribution of longitudinal strains along the width direction of the top plate of corroded CBCSWs is more uneven, that is, the shear lag effect of the top plate of corroded CBCSWs is more obvious.…”

“…Li et al [14] analyzed the shear ratio of a single-box, four-cell composite box girder with corrugated steel webs through a numerical simulation procedure. In addition, some researchers have also studied the other behaviors of beams with corrugated webs, including the torsional performance [15][16][17][18][19][20], fatigue performance [1,[21][22][23], cyclic behavior [24], shear lag effect [25][26][27][28], dynamic characteristics [29][30][31], creep behavior [32], long-term behavior [3,33], natural frequency [34], distortion effect [35], and so on.…”

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

“…Through theoretical derivation, finite element analysis, and model experiments, Liu Baodong et al [36] demonstrated the necessity of accounting for shear lag and shear deformation effects in deflection calculations for waveform steel web composite box girders. Ji Wei et al [37] derived a shape function to address the warping caused by shear lag in waveform steel web box girders and proposed a deflection calculation method considering both shear lag and shear deformation. Cheng et al [38] proposed deflection calculation formulas for single-cell and multi-cell waveform steel web composite box girders, assessing the impacts of shear lag and shear deformation on deflection.…”

Analysis of Pure Bending Vertical Deflection of Improved Composite Box Girders with Corrugated Steel Webs

“…e influence of various factors on the deflections of the box girders with CSW was analyzed. Based on the experimental model of CSWS composite box girder bridge, Wei et al [13,14] derived the longitudinal displacement functions and the deflection calculation equations of the composite box girders with CSW and determined the main influential factors on deflections under different width span ratios and corrugated steel web heights. Zhou et al [15] analyzed the shear lag effect of nonprismatic composite box girder with corrugated steel webs in the elastic stage.…”