等效长度压弯构件平面内稳定的等效长度系数研究

RESEARCH ON EQUIVALENT LENGTH COEFFICIENT FOR IN-PLANE STABILITY OF EQUIVALENT LENGTH MEMBERS UNDER COMBINED AXIAL COMPRESSION AND BENDING

  • 摘要: 基于现有文献中压弯构件最大二阶弯矩的计算方法,以原构件与等效长度压弯构件的最大二阶弯矩相等为依据,推导了等效长度系数的一般表达式和基于构件最大一阶弯矩的等效长度系数的计算式,典型荷载工况下压弯构件的等效长度系数的实用计算式,以及横向荷载作用下等效长度系数的简化计算式,并采用弯矩放大系数、最大一阶弯矩的计算结果验证了该文等效长度系数的计算精度和适用范围。研究表明:端弯矩作用的压弯构件的等效长度系数最小值为0,最大值为1;而横向荷载作用的压弯构件的等效长度系数,可表示为轴压力与弯曲屈曲临界力之比的函数。对于常见荷载工况,该文的等效长度系数的精度高、适用范围广;而国家标准GB 50936−2014中的等效长度系数,则可能明显偏不安全或过于偏安全。

     

    Abstract: Based on existing methods for calculating the maximum second-order bending moment (MSOM) of members under combined axial compression and bending, and assuming that the MSOMs of the original member and the equivalent length member under combined axial compression and bending are equal, this paper derives a general expression for the equivalent length coefficient (ELC), a calculation formula for ELC based on the maximum first-order bending moment of the member, a practical calculation formula for ELC of members under combined axial compression and typical bending, and a simplified calculation formula for ELC under transverse loads. The accuracy and application range of the proposed practical formulas are checked by employing the calculated amplification coefficient of moment or first-order maximum moment. The results show that, the minimum and maximum ELC values for end moments are 0 and 1 respectively, and the ELC of a member under combined axial compression and transverse load can be expressed as a function of the ratio of axial compressive force to the critical flexural buckling force. For common load conditions, the ELC in this paper has high accuracy and wide applicability; while the ELC in the national standard GB 50936−2014 may be significantly unsafe or overly safe.

     

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