薄壁箱梁的弯曲纵向位移函数与剪力流-中南大学学报.pdfVIP

第 46 卷第 10 期 中南大学学报( 自然科学版) Vol.46 No.10 2015 年 10 月 Journal of Central South University (Science and Technology) Oct. 2015 DOI: 10.11817/j.issn.1672-7207.2015.10.049 薄壁箱梁的弯曲纵向位移函数与剪力流 李丽园，周茂定，张元海 (兰州交通大学 土木工程学院，甘肃 兰州，730070) 摘要：以薄壁箱梁的弯曲理论为基础，从分析微板剪力流出发，结合弹性理论中求解平面应力问题的假设，推导 考虑薄壁箱梁各板面内剪切效应时的弯曲纵向位移函数，同时从理论上导出剪力滞翘曲位移函数。运用能量变分 原理及铁木辛柯深梁理论的假设简化并求解考虑各板面内剪切效应的纵向位移函数，并给出数值算例。研究结果 表明：按本文推导的考虑各板面内剪切效应的位移函数计算的简支梁跨中截面正应力与实测值及有限元值吻合良 好，剪应力与挠度较以往方式求解的结果更为准确，且箱梁挠度及腹板剪应力计算值相对于初等梁的结果均有明 显增加，最大增量达到 21% 。 关键词：薄壁箱梁；面内剪切效应；能量变分法；挠度；剪力流 中图分类号：U448.213 文献标志码：A 文章编号：1672−7207(2015)10−3928−08 Longitudinal displacement function and shear flow of thin-walled box girders in bending LI Liyuan, ZHOU Maoding, ZHANG Yuanhai (School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China) Abstract: On the basis of the bending theory of thin-walled box girders, and in combination with the hypothesis for solving plane stress problems in elasticity theory, bending longitudinal displacement function considering each plate in-plane shear effect of thin-walled box girders was derived. At the same time, the shear lag warping displacement function was derived theoretically. The displacement mode considering in-plane shear effect of all plates was simplified and solved by using the principle of energy variation and Timoshenko hypothesis of deep beam theory, and the numerical example was given. The results show that the calculated stresses at mid-span