Research on Torsional Characteristics of Main Girders in Half-Through Truss Bridges
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摘要: 抗扭刚度对半开式桁架桥的稳定性与服役性能至关重要。为了研究半开式桁架桥主梁的抗扭特性从而增强桥梁性能,将半开式桁架桥的主梁等效为开口槽型薄壁构件。分析了半开式桁架桥主梁的扭转惯性矩计算式,并发现半开式桁架桥主桁通过抗弯来抵抗翘曲变形的效应,对主梁抗扭刚度贡献极大,进而基于主桁竖向抗弯作用提出了主梁的抗扭惯性矩修正值计算式。以一座半开式桁架人行桥为例,分别采取理论与有限元方法计算了不同宽跨比下桥梁的抗扭惯性矩。结果表明:计算半开式桁架桥主梁的抗扭惯性矩时,等效开口槽型截面计算所得自由扭转惯性矩与实际抗扭刚度差距极大,必须考虑主桁抗弯修正值。主桁抗弯协助抗扭的作用随宽跨比增大迅速提高,计入修正值后的理论解与有限元结果能够吻合,可以运用解析算式来探明此类桥梁的抗扭特性。根据机理分析,最终制定了在上横梁之间加装X形纵向支撑的方式提升抗扭刚度。加装X形纵向支撑不但能保持半开式桁架桥的尺寸不变且抗扭刚度的增强效果可观,还将对桥梁抗扭和稳定性能带来显著的改善效应。Abstract: Torsional stiffness is crucial for the stability and service performance of half-through truss bridges. To study the torsional characteristics of the main girder of a half-through truss bridge, the half-through truss is equated to an open-section thin-walled member, and the calculation formula for the free torsional moment of inertia of the main girder is derived. Since the main truss of the half-through truss bridge resists warping deformation through bending, it contributes significantly to the torsional stiffness of the main girder. Based on the vertical bending behavior of the main truss, the correction formula for the torsional moment of inertia of the main girder is derived. Taking a half-through truss pedestrian bridge as an example, the torsional moment of inertia of the bridge under different width-span ratios was calculated using theoretical and finite element analysis. The results showed that when calculating the torsional moment of inertia of the main girder of a half-through truss bridge, the free torsional moment of inertia calculated using the equivalent open-section differed significantly from the actual torsional stiffness, and the bending correction of the main truss must be considered. The contribution of the main truss to torsional resistance through bending increased rapidly with the increase in the width-span ratio. The theoretical solution, after incorporating the correction, showed good agreement with the finite element results. The theoretical formula can be used to explain the torsional mechanism of this type of bridge. However, since the theoretical calculation did not account for the beneficial effect of the transverse bending resistance of the bottom chord, the theoretical solution gradually became smaller than the finite element solution as the bridge width increased. Based on the mechanism study, a method of adding X-shaped longitudinal bracing between the upper transverse beams to improve the torsional stiffness was proposed. The addition of X-shaped longitudinal bracing not only preserves the dimensions of the half-through truss bridge but also significantly enhances the torsional stiffness and stability of the structure.
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