薄壁深梁弯剪耦合应力分布规律

山东大学学报(工学版)

薄壁深梁弯剪耦合应力分布规律

郭佳陇^1，2,王正中^1*,谌磊¹,朱军祚¹

1. 西北农林科技大学水利与建筑工程学院, 陕西杨凌 712100;2. 安徽省水利水电勘测设计院, 安徽合肥 230088

收稿日期:2006-10-16 修回日期:1900-01-01 出版日期:2008-06-16 发布日期:2008-06-16
通讯作者: 王正中

The stress distribution law of thinwalled deep beams with the shear-bending coupling

GUO Jia-long^1,2, WANG Zheng-zhong^1* , CHEN Lei¹, ZHU Jun-zuo¹

1. College of Water Resources and Architectural Engineering,Northwest A＆F university, Shaanxi 712100, China;2. Anhui Survey And Design Institute of Water Conservancy and Hydropower

Received:2006-10-16 Revised:1900-01-01 Online:2008-06-16 Published:2008-06-16
Contact: WANG Zheng-zhong

摘要/Abstract

摘要： 均布荷载作用下深梁的正应力属于弯剪耦合应力,传统的细长梁应力计算公式误差较大不再适用,在对薄壁深梁的设计中存在很多问题.基于梁横力弯曲的挠曲微分方程,推导出双轴对称截面深梁在横向均布荷载作用下弯曲正应力的计算公式,并对其弯曲正应力的沿梁长、梁高分布规律影响因素进行了分析.采用ANSYS软件对工程实例进行计算分析,利用分析结果对推导公式进行精度评价.结果表明：精度满足要求，对各类薄壁深梁的设计具有指导意义.

关键词: 深梁, 均布荷载, 弯剪耦合, 应力分布

Abstract: Positive stress belongs to the shear-bending coupling stress of deep beam under uniform load. The traditional formula of the slender beam is no longer suitable because of the comparatively great error, which can cause many problems in the design of a thin-walled deep beam. The flexural differential equation of a beam under lateral force and the calculation formula of positive stress of a thin-walled deep beam with bi-axed symmetrical crosssection under lateral uniform load were put forth, and the influential factors of bending positive stress along the length and height of the beam were analyzed. The software ANSYS was used to analyze two different examples and utilized the result to make precision evaluation on the formula. It indicated that the accuracy meets the requirements. Some instructions to the design of various thin-walled deep beams were obtained.

Key words: deep beams, uniform loads, shear-bending coupling, stress distribution

中图分类号:

TV314

郭佳陇,王正中 ,谌磊,朱军祚 . 薄壁深梁弯剪耦合应力分布规律[J]. 山东大学学报(工学版), 2008, 38(3): 34-39 .

GUO Jia-long,WANG Zheng-zhong* ,CHEN Lei,ZHU Jun-zuo . The stress distribution law of thinwalled deep beams with the shear-bending coupling[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(3): 34-39 .

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