连续梁板结构的活荷载影响面系数研究

STUDY ON INFLUENCE SURFACE COEFFICIENTS OF LIVING LOADS ON CONTINUOUS BEAM-SLAB STRUCTURES

  • 摘要: 活荷载影响面系数K是基于结构效应一致原则将实际调查荷载转换为等效均布荷载的核心参数。现有计算方法仅针对单跨、简化梁板结构,若直接用于连续结构会出现K值计算不合理的现象;而若采用棋盘格布置简化考虑不同跨间活荷载的变化,又会出现“随机性荷载模型+确定性荷载布置”的理论矛盾以及极端荷载效应的问题。对此,本文依概率建模的方式考虑活荷载隔间随机性,并利用模式化布置应对K值计算过大的问题。研究建立了典型连续梁板结构的参数化有限元模型,通过多因素分析计算K值。结果建议楼层间系数K1取1.0、楼层内不同跨间系数K2取1.0,跨内系数K3则应对不同结构效应取不同的值,即梁跨中弯矩2.8,梁端弯矩取值3.5,板跨中挠度2.0,柱子轴力2.0。

     

    Abstract: The influence surface coefficient for living loads, K, is the key parameter for converting an actual load measurement into an Equivalent Uniformly Distributed Load (EUDL), following the principle of structural effect consistency. The existing calculation methods, designed exclusively for single-span and simplified beam-slab structures, yield unreasonable K values when directly applied to continuous structures. However, employing a checkerboard pattern to approximate living load variations introduces an inherent conflict: it combines a stochastic load model with a deterministic load arrangement. This approach can also lead to unrealistic extreme load effects. To address this issue, this study adopts a probabilistic model to capture the stochastic nature of a living load across adjacent spans and employs Equivalent Patterned Load (EPL) to mitigate the overestimation of K values. This study establishes a parametric finite element model for a typical continuous beam-slab structure and determines the K values through a multi-factor analysis. The recommended coefficients are: K1=1.0 (inter-story), K2=1.0 (inter-span). The intra-span coefficient K3 varies with the structural effect: 2.8 (Mid-span moment of the beam), 3.5 (Support moment), 2.0 (Deflection at the mid-span of the slab), and 2.0 (Axial force in the column).

     

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