王卫永, 杨竞杰. 纵向非均匀温度下钢柱弹性屈曲荷载[J]. 工程力学, 2024, 41(6): 202-211, 256. DOI: 10.6052/j.issn.1000-4750.2022.05.0497
引用本文: 王卫永, 杨竞杰. 纵向非均匀温度下钢柱弹性屈曲荷载[J]. 工程力学, 2024, 41(6): 202-211, 256. DOI: 10.6052/j.issn.1000-4750.2022.05.0497
WANG Wei-yong, YANG Jing-jie. ELASTIC BUCKLING LOAD OF STEEL COLUMN UNDER LONGITUDINAL NON-UNIFORM TEMPERATURE[J]. Engineering Mechanics, 2024, 41(6): 202-211, 256. DOI: 10.6052/j.issn.1000-4750.2022.05.0497
Citation: WANG Wei-yong, YANG Jing-jie. ELASTIC BUCKLING LOAD OF STEEL COLUMN UNDER LONGITUDINAL NON-UNIFORM TEMPERATURE[J]. Engineering Mechanics, 2024, 41(6): 202-211, 256. DOI: 10.6052/j.issn.1000-4750.2022.05.0497

纵向非均匀温度下钢柱弹性屈曲荷载

ELASTIC BUCKLING LOAD OF STEEL COLUMN UNDER LONGITUDINAL NON-UNIFORM TEMPERATURE

  • 摘要: 在大空间建筑火灾中,由于热空气的上升,在纵向空间上的温度分布常常是不均匀的,上部的温度会远远高于下部的温度。该现象在火灾的轰燃发生后是十分显著的。在钢柱的抗火设计中考虑纵向温度的不均匀分布不仅符合实际情况,也更符合基于性能化的抗火设计理念。该文先以无端部约束钢柱为研究对象并假定其横截面上的温度均匀分布,基于能量法推导了其在一般场模型火灾条件下的弹性屈曲荷载;在简化的双区域火灾模型条件下,分别基于平衡微分方程以及能量法推导其弹性屈曲荷载,并采用数值分析对推导结果进行验证。发现基于平衡微分方程推导的精确解相较于数值模拟结果,误差均小于3%,而基于能量法推导的结果则在部分情况下显著偏大。此外,研究结果表明:如果忽略温度的纵向不均匀分布,对于受热长度与非受热长度等长的钢柱,其弹性临界荷载会被严重低估,甚至达到约37%。考虑柱端轴向约束的作用,该文给出了不均匀温度分布条件下约束柱的弹性屈曲荷载计算方法。

     

    Abstract: In large-scale building fires, due to the rising of hot air, the temperature distribution is usually non-uniform in the longitudinal space around a steel column, and the temperature in its upper zone is much higher than that in its lower zone. This phenomenon is very significant after the flashover condition. It is practical to consider the longitudinally non-uniform temperature for the fire resistance design of steel columns. Besides, advantage can be made of this in a performance-based approach to ascertain the stability of a steel column subjected to prescribed fire size. This paper takes the steel column that has no ending restraint as the research object and assumes that the temperature distribution on the cross-section is uniform. The elastic buckling load of the steel column under the field model fire is derived upon the energy method. Under the condition of the simplified two-zone fire model, the elastic buckling load is derived by the equilibrium differential equation and by the energy method, respectively. The derived results are verified by numerical analysis. It is found that: the error of the exact solution derived upon the equilibrium differential equation is less than 3% compared with the numerical simulation results, while the results derived based on the energy method are significantly larger in some cases. In addition, the results show that: if the longitudinally non-uniform temperature distribution is ignored, the elastic critical load will be seriously underestimated, even reaching about 37%, for a steel column with the same length as the unheated length. Considering the influence of the axial restraint, the calculation method of the buckling load of the steel column with longitudinally non-uniform temperature is proposed.

     

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