小宽厚比独柱墩帽梁的三维空间拉压杆模型研究

STUDY ON THREE-DIMENSIONAL STRUT-AND-TIE MODEL OF CAP BEAM OF SINGLE-COLUMN PIER WITH SMALL WIDTH-THICKNESS RATIO

  • 摘要: 小宽厚比独柱墩帽梁通常被用于下部结构空间受限的城市重载桥梁。与常规独柱墩帽梁构件相比,小宽厚比独柱墩帽梁厚度尺寸大于墩柱直径,且纵桥向的帽梁厚度与横桥向的帽梁宽度尺寸接近。针对规范中二维平面拉压杆模型方法仅能分析帽梁横桥向拉力,而缺乏考虑纵桥向拉力的不足,提出了针对小宽厚比独柱墩帽梁的基于其三维空间拉压杆模型的横、纵桥向拉力计算方法。该方法基于小宽厚比独柱墩帽梁空间力流特性建立三维空间拉压杆模型的基本构型,利用最小应变能准则推导出其最优构型以及横、纵桥向拉力。采用有限元积分方法验证该方法的正确性,并与规范中基于二维平面拉压杆模型方法进行对比。研究结果表明:小宽厚比独柱墩帽梁在支座荷载作用下结构受力存在空间效应,除横桥向帽梁顶部受拉外,在纵桥向厚度方向上,帽梁中部也存在显著拉应力,该文所提三维空间拉压杆模型较好的描述了小宽厚比独柱墩帽梁力流传递的空间特性。基于三维空间拉压杆模型的横、纵桥向拉力计算方法具有明确的物理意义和较高的计算精度。与规范中二维平面拉压杆模型方法相比,三维空间拉压杆模型计算方法用于小宽厚比独柱墩帽梁设计计算更加安全且经济合理。

     

    Abstract: Beams of single-column pier caps with small aspect ratios are commonly used in urban heavy-load bridges with limited space in the substructure. Compared to conventional single-column pier-cap beams, the thickness of single-column pier-cap beams with small aspect ratios is larger than the diameter of the pier column, and the cap-beam thickness in the longitudinal direction is close to the cap-beam width in the transverse direction. In response to the inadequacy of the two-dimensional plane truss modal method in the code, which can only analyze the transverse tensile force of the cap beam and lacks consideration of the longitudinal tensile force, a calculation method for the transverse and longitudinal tensile forces is proposed upon the three-dimensional strut-and-tie model of single-column pier-cap beams with small aspect ratios. This method first establishes the basic configuration of the three-dimensional strut-and-tie model based on the characteristics of spatial principal stress traces of single-column pier-cap beams with small aspect ratios. Then, it uses the minimum strain energy criterion to derive the optimal configuration as well as the transverse and longitudinal tensile forces. The performance of the method is verified using the finite element integration method and compared with the two-dimensional plane truss modal method in the code. The study results show that: under the action of support loads, single-column pier-cap beams with small aspect ratios exhibit spatial effects in their structural forces. In addition to tensile stress at the top of the transverse cap beam, there is also tensile stress in the middle of the cap beam in the longitudinal thickness direction. The three-dimensional strut-and-tie model proposed effectively describes the spatial characteristics of force transmission in single-column pier-cap beams with small aspect ratios . The calculation method for transverse and longitudinal tensile forces based on the three-dimensional strut-and-tie model has clear physical significance and high computational accuracy. Compared to the two-dimensional plane truss modal method in the code, the three-dimensional strut-and-tie modal calculation method is safer and more economically reasonable for the design calculation of single-column pier-cap beams with small aspect ratios.

     

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