姚 谏, 程 婕, 邢 丽. 冷弯薄壁卷边槽钢梁的弹性畸变屈曲荷载简化计算公式[J]. 工程力学, 2011, 28(10): 21-026.
引用本文: 姚 谏, 程 婕, 邢 丽. 冷弯薄壁卷边槽钢梁的弹性畸变屈曲荷载简化计算公式[J]. 工程力学, 2011, 28(10): 21-026.
YAO Jian, CHENG Jie. SIMPLE FORMULAE FOR DISTORTIONAL BUCKLING LOADS OF COLD-FORMED LIPPED CHANNELS SUBJECTED TO MAJOR AXIS BENDING[J]. Engineering Mechanics, 2011, 28(10): 21-026.
Citation: YAO Jian, CHENG Jie. SIMPLE FORMULAE FOR DISTORTIONAL BUCKLING LOADS OF COLD-FORMED LIPPED CHANNELS SUBJECTED TO MAJOR AXIS BENDING[J]. Engineering Mechanics, 2011, 28(10): 21-026.

冷弯薄壁卷边槽钢梁的弹性畸变屈曲荷载简化计算公式

SIMPLE FORMULAE FOR DISTORTIONAL BUCKLING LOADS OF COLD-FORMED LIPPED CHANNELS SUBJECTED TO MAJOR AXIS BENDING

  • 摘要: 以既有理论研究成果为基础,结合应用广义梁理论,对冷弯薄壁卷边槽钢在绕截面强轴弯矩作用下的弹性畸变屈曲荷载进行了深入细致的分析。首先基于45个截面冷弯薄壁卷边槽钢梁畸变屈曲荷载的参数分析,提出了屈曲临界半波长度的近似计算公式;接着对腹板提供给翼缘板的转动约束刚度进行了分析,提出了精度较高的线性近似计算公式;依据畸变屈曲特征方程,提出了考虑翼缘自身剪切与畸变影响的修正参数的近似计算公式;利用以上结果,最后提出了冷弯薄壁卷边槽钢在绕强轴弯矩作用下的弹性畸变屈曲荷载简化计算公式。简化公式具有足够的精度,便于手算,实用性强,可供工程设计人员和各国冷弯薄壁型钢设计规范修订相应内容时参考采用。

     

    Abstract: This paper presents a set of simple formulae for the elastic distortional buckling load of cold-formed lipped channels subjected to major axis bending. These formulae are derived on the basis of an existing theoretical solution in conjunction with numerical results obtained using the Generalized Beam Theory (GBT). Firstly, numerical results for the distortional buckling loads of forty five sections from GBT analyses are presented and interpreted, leading to an approximate expression for the buckling half-wavelength. The rotational restraint, provided by the web to the flange during buckling deformation, is then examined to arrive at an accurate approximate expression. An approximate expression for the modification factor accounting for the effect of the shear and distortional deformation of the flange section is next developed to improve the accuracy of theoretical predictions of distortional buckling loads. Based on these approximate expressions, a simplified equation is finally presented to predict the elastic distortional buckling load of cold-formed lipped channels subjected to major axis bending. The accuracy is shown through comparisons with results from GBT analyses. The proposed formula is easy to apply, and may be directly used in practical design and incorporated into future design codes or guidelines.

     

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