(北京交通大学土木建筑工程学院，北京100044)

［摘要］为了研究蜂窝梁应力和挠度的计算方法，应用有限元软件ANSYS对蜂窝梁进行了整体和局部分析，得出蜂窝梁的受力特点。结合蜂窝梁应力分布特点和自身结构特征，以空腹桁架理论为基础，对蜂窝梁力学行为进行分析，推导均布荷载作用下蜂窝梁应力的计算公式。根据蜂窝梁腹板开孔的结构特点，以单位力法为基础，推导蜂窝梁挠度的计算公式。对不同蜂窝梁进行数值分析和理论计算，将应力和挠度的公式计算结果与有限元分析结果进行对比，验证了空腹桁架计算假定的正确性以及应力和挠度计算公式的准确性。

［关键词］蜂窝梁；空腹桁架理论；有限元方法；应力；挠度

中图分类号：TU391.2文献标识码：A文章编号：1002-848X(2011)02-0052-04

Stress and deflection calculation methods of castellated beams

Li Pengfei, Yao Qianfeng

(School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China)

Abstract:In order to study the stress and deflection calculation methods, the stress characteristics of castellated beams were obtained through overall and local stability analysis by ANSYS. Based on the stress distribution and the structural characteristics of castellated beams, the practical formulas for stress calculation were deduced on the hypothesis of open-web truss theory. The deflection formulas were derived according to the web openings characteristics of castellated beams and the unit force method. By comparing the formula calculation results with finite element analysis results, the correctness of open-web truss theory hypothesis and precision of the formulas for stress and deflection were verified.

Keywords:castellated beam; open-web truss theory; finite element method; stress; deflection

作者简介：李鹏飞，博士研究生，Email:lpf.china@163.com。

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