A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis
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摘要: 选取剪力滞效应引起的附加挠度为广义位移,将箱梁的剪力滞变形状态从初等梁挠曲变形状态中分离出来,作为一种独立的变形状态进行分析,运用能量变分法建立了以附加挠度为未知量的截面控制微分方程及边界条件;结合简支边界条件分别导出了集中荷载和均布荷载作用下箱梁的附加挠度和纵向应力计算公式.纵向应力分析表明:该文方法计算的应力结果和样条函数法计算的应力结果吻合良好,从而验证了其方法的正确性.挠度研究表明:剪力滞附加挠度由跨中向两侧支点递减;针对于该文算例而言,均布荷载和集中荷载作用下跨中截面的剪力滞附加挠度分别占初等梁挠度的2.57%和3.03%;随着高跨比和宽跨比的增大,相应箱梁跨中截面的附加挠度逐渐减小,且宽跨比对附加挠度的影响远大于高跨比的影响.Abstract: With the additional deflection caused by the shear lag effect as a generalized displacement, the shear lag deformation of the box girder was separated from the elementary beam deflection as an independent state for analysis. The governing differential equations and the corresponding boundary conditions were established with the energy variational method. According to the simply supported boundary conditions, the analytical solutions of the additional deflection and the longitudinal stress were deduced under the concentrated load and the uniform load. The longitudinal stress analysis shows that the stresses calculated with the present method were in good agreement with those with the spline function method, validating the rationality of the present method. The deflection study shows that the additional deflection of shear lag diminishes from the span center section to the 2 ends. The shear lag additional deflection at the span center section reaches respectively 2.57% and 3.03% of the elementary beam deflection of the simply supported box girder under the uniform load and the concentrated load. With the increases of the height-span and width-span ratios, the additional deflection at the span center section of the box girder gradually decreases. In particular, the influence of the width-span ratio on the additional deflection is far greater than that of the height-span ratio.
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