（武汉大学土木建筑工程学院， 武汉 430072）

［摘要］以柱脚铰接形式的大坡度刚架结构为研究对象，进行了理论公式推导及ANSYS有限元计算分析，提出了该种结构形式柱的顶部支撑刚度计算公式与刚架柱计算长度系数的实用性拟合公式。计算结果表明：斜梁坡度增大对刚架结构柱顶支座的刚度有削弱的作用，大坡度刚架结构柱的柱脚采用铰接形式时，其计算长度系数随斜梁坡度的增大而增大，在实际工程的设计工作中，可参考建议公式或单独采用有限元模拟确定刚架柱计算长度系数以进行结构稳定设计。

［关键词］大坡度刚架； 刚架柱计算长度系数； 拟合公式； 有限元模拟

Study on calculation length coefficient of rigid frame column with large slope and hinged column base

Xue Xue, Guo Yaojie, Wen Hao, Cao Ke

(School of Civil Engineering， Wuhan University, Wuhan 430072, China)

Abstract:Taking the rigid frame structure with large slope and hinged column base as the object of study, the derivation of the theoretical formula and the finite element analysis of the ANSYS were carried out. The practical fitting formulas of the top support stiffness calculation formula and calculation length coefficient of rigid frame  column were proposed. The calculated results show that the increase of the inclined beam slope has a weakening effect on the stiffness of the top support of the rigid frame column. If the column base of the rigid frame column with large slope adopts the hinged form, the calculation length coefficient increases with the increase of the slope of the inclined beam. In the actual project design, proposed formula can be referred to or a separate finite element simulation can be used to determine the calculation length coefficient of column for structural stability design.

Keywords:rigid frame structure with large slope; calculation length coefficient of column; fitting formula; finite element simulation

*国家自然科学基金（51378401），中央高校基本科研业务费专项资金（2042016kf1126）。

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