Equivalent Moment Factor for In-Plane Stability Check
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摘要: 对现行国内外钢结构设计标准中平面内稳定计算公式中的等效弯矩系数进行了分析,提出了新的解析方法。该方法对初始弯曲和线性弯矩产生的总二阶弯矩求最大值,沿杆长搜寻求得一系列压弯杆稳定相关曲线,求得这一系列曲线的下包络,反推求得弹塑性压弯杆的等效弯矩系数,总结出了计算公式。采用新公式求得的平面内稳定相关关系与下包络曲线比较,精度良好。Abstract: This paper proposes a novel method for determining the equivalent moment factor for checking the in-plane stability of beam-columns. The proposed method uses the total second-order bending moment caused by initial deflection and the linearly varied bending moment. By introducing the total bending moment at each position along the member length into the cross-sectional strength formula, a series of axial force-bending moment interaction curves are obtained. The lower-bound envelope of these curves constitutes the final interaction curve for the in-plane stability check. Based on the obtained interaction envelopes, the elastic-plastic equivalent moment factor is derived inversely, and approximate formulas are proposed. Comparisons show that the proposed formulas are in good agreement with the results from the proposed method.
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Key words:
- beam-column /
- in-plane stability /
- equivalent moment factor /
- second-order effect
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[1] 中华人民共和国住房和城乡建设部. 钢结构设计标准:GB 50017—2017[S]. 北京:中国建筑工业出版社,2018. [2] European Committee for Standardization. Eurocode 3-design of steel structures- part 1-1:general rules and rules for buildings:EN1993-1-1[S]. Brussels:European Committee for Standardization,2022. [3] American Institute of Steel Construction(AISC). Specification for structural steel buildings:ANSI/AI SC 360-22[S]. Chicago:AISC,2022. -
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